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mikeion

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[ { "id": 1044949116121268200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:14:43", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1044951582816612500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:24:31", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1044951579863810200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1044952048803791000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:26:22", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1044952877262721200, "author_id": 973473679856005100, "author_name": "Negative", "timestamp": "11/23/2022 07:29:40", "content": "Twelve carpenters can build a nipa hut in 10 days, how many carpenters are needed to build it in 6 days?", "attachments": [], "mentions": [], "reference": null }, { "id": 1044954106730655900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:34:33", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1044956081379627000, "author_id": 765646460652879900, "author_name": "kuura", "timestamp": "11/23/2022 07:42:24", "content": "\"Prove that equation's discriminant is D<0 when k<0 \" (which means that there aren't any roots)\n\nThen you just count it with calculator and the answer is k<2-sqr3 or k>2+sqr3 but those are both >0 so there is roots? I don't get it", "attachments": [ { "id": 1044956081190863000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1044956081190862938/20221123_140217.jpg", "fileName": "20221123_140217.jpg", "fileSizeBytes": 392302 } ], "mentions": [], "reference": null }, { "id": 1044956082944086000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:42:24", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1044956081379627000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1044956521500508200, "author_id": 765646460652879900, "author_name": "kuura", "timestamp": "11/23/2022 07:44:09", "content": "I'm sorry about how the text isn't english", "attachments": [], "mentions": [], "reference": null }, { "id": 1044960298601291800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 07:59:09", "content": "@kuura Has your question been resolved?", "attachments": [], "mentions": [ { "id": 765646460652879900, "name": "kuura", "discriminator": "8500", "nickname": "kuura", "isBot": false } ], "reference": null }, { "id": 1044960507309867000, "author_id": 765646460652879900, "author_name": "kuura", "timestamp": "11/23/2022 07:59:59", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1044960739007402000, "author_id": 765646460652879900, "author_name": "kuura", "timestamp": "11/23/2022 08:00:54", "content": "I just don't get the how there aren't any roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1044968289270505500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 08:30:54", "content": "@kuura Has your question been resolved?", "attachments": [], "mentions": [ { "id": 765646460652879900, "name": "kuura", "discriminator": "8500", "nickname": "kuura", "isBot": false } ], "reference": null }, { "id": 1044968999596863500, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:33:44", "content": "for those values of k, x doesnt have any roots", "attachments": [], "mentions": [ { "id": 765646460652879900, "name": "kuura", "discriminator": "8500", "nickname": "kuura", "isBot": false } ], "reference": null }, { "id": 1044969221018374300, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:34:36", "content": "the discriminant is greater or equal to 0 if there are roots and strictly less than 0 if there are no roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1044969350383292400, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:35:07", "content": "looking at the first quadratic equation in terms of x, the question want to find when x has no roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1044969427990499500, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:35:26", "content": "so it sets the discriminant to be strictly less than 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1044969610878918700, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:36:09", "content": "since the discriminant is dependent on k, it has to solve the equality in terms of k to find for what values of k will the quadratic function in terms of x will have no roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1044969647440678900, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:36:18", "content": "*real roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1044970137675124700, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:38:15", "content": "Slide the value of k in the following desmos graph: https://www.desmos.com/calculator/stgc3vyrcx", "attachments": [], "mentions": [], "reference": null }, { "id": 1044970231287783600, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:38:37", "content": "youll notice that for some values of k, the quadratic will pass through y=0 and sometimes it wont", "attachments": [], "mentions": [], "reference": null }, { "id": 1044970357167226900, "author_id": 360007910539132900, "author_name": "Mixnik", "timestamp": "11/23/2022 08:39:07", "content": "the values of k where it doesnt pass through y=0 is dictated by the inequality that was solved", "attachments": [], "mentions": [], "reference": null }, { "id": 1044975841525891200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:00:55", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1044976092747931600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:01:55", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977215194009700, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:06:22", "content": "ohm", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977217433780400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:06:23", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1044977215194009700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1044977228166996000, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:06:25", "content": "", "attachments": [ { "id": 1044977228208943100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1044977228208943114/image.png", "fileName": "image.png", "fileSizeBytes": 17708 } ], "mentions": [], "reference": null }, { "id": 1044977330969387000, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:06:50", "content": "how did they suddenly go from 9/4+i to 36/16-i*9/17?", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977701989138600, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:08:18", "content": "nvm found out", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977739192602800, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:08:27", "content": "i multiply with the conjugated", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977744729096200, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:08:29", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1044977748319424600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:08:29", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1044979743470141400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:16:25", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1044979961909493900, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 09:17:17", "content": "", "attachments": [ { "id": 1044979961481658400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1044979961481658408/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 1759753 } ], "mentions": [], "reference": null }, { "id": 1044979965566910600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:17:18", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1044979961909493900, "channelId": 486844875632017400, "guildId": null } }, { "id": 1044979965915058200, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 09:17:18", "content": "determine angle x", "attachments": [], "mentions": [], "reference": null }, { "id": 1044980021762199600, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 09:17:31", "content": "is the answer 50 or 75 and why", "attachments": [], "mentions": [], "reference": null }, { "id": 1044981096879763500, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:21:48", "content": "make a straight line, it creates 2 90* angles", "attachments": [], "mentions": [], "reference": null }, { "id": 1044981771172843500, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:24:29", "content": "125-90=35 and 150-90= 70, then 180-105= 75", "attachments": [], "mentions": [], "reference": null }, { "id": 1044981873677455400, "author_id": 323514021787729900, "author_name": "Alperen.", "timestamp": "11/23/2022 09:24:53", "content": ".", "attachments": [], "mentions": [ { "id": 606107927278780500, "name": "superpro", "discriminator": "8907", "nickname": "superpro", "isBot": false } ], "reference": null }, { "id": 1044983472407724200, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 09:31:14", "content": "oh ok thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1044987248929669100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:46:15", "content": "@superpro Has your question been resolved?", "attachments": [], "mentions": [ { "id": 606107927278780500, "name": "superpro", "discriminator": "8907", "nickname": "superpro", "isBot": false } ], "reference": null }, { "id": 1044987281125146600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:46:22", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1044987533123137500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:47:22", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1044987868977832100, "author_id": 755235125511323600, "author_name": "Blaekless", "timestamp": "11/23/2022 09:48:42", "content": "A marble is initially at rest at a height of 7 meters on an inclined plane and rolls down the plane. the speed of the marble when it reaches the lowest point is", "attachments": [], "mentions": [], "reference": null }, { "id": 1044987870907203600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 09:48:43", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1044987868977832100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1044988904874451100, "author_id": 715875286041886800, "author_name": "Akise", "timestamp": "11/23/2022 09:52:49", "content": "ENERGY CONSERVATION", "attachments": [], "mentions": [], "reference": null }, { "id": 1044990020269899900, "author_id": 755235125511323600, "author_name": "Blaekless", "timestamp": "11/23/2022 09:57:15", "content": "Okay", "attachments": [], "mentions": [], "reference": null }, { "id": 1044990107888926800, "author_id": 755235125511323600, "author_name": "Blaekless", "timestamp": "11/23/2022 09:57:36", "content": "But it's about rolling", "attachments": [], "mentions": [], "reference": null }, { "id": 1044990361048715400, "author_id": 715875286041886800, "author_name": "Akise", "timestamp": "11/23/2022 09:58:37", "content": "doesn't matter", "attachments": [], "mentions": [], "reference": null }, { "id": 1044991536624058500, "author_id": 755235125511323600, "author_name": "Blaekless", "timestamp": "11/23/2022 10:03:17", "content": "Then how", "attachments": [], "mentions": [], "reference": null }, { "id": 1044991991500521600, "author_id": 715875286041886800, "author_name": "Akise", "timestamp": "11/23/2022 10:05:05", "content": "(1/2)mv^2 = mgh", "attachments": [], "mentions": [], "reference": null }, { "id": 1044995312177119200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 10:18:17", "content": "@Blaekless Has your question been resolved?", "attachments": [], "mentions": [ { "id": 755235125511323600, "name": "Blaekless", "discriminator": "0839", "nickname": "Blaekless", "isBot": false } ], "reference": null }, { "id": 1044998280976797700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 10:30:05", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1044998533855576200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 10:31:05", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045001236576993400, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 10:41:49", "content": "is this question solveable", "attachments": [ { "id": 1045001236400848900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045001236400848956/image0.jpg", "fileName": "image0.jpg", "fileSizeBytes": 82795 } ], "mentions": [], "reference": null }, { "id": 1045001239496233000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 10:41:50", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045001236576993400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045001504664338400, "author_id": 972201336936497200, "author_name": "Reacquired", "timestamp": "11/23/2022 10:42:53", "content": "It seems incorrect. The given equation wont hold if x is in 0 deg to 90 deg", "attachments": [], "mentions": [ { "id": 606107927278780500, "name": "superpro", "discriminator": "8907", "nickname": "superpro", "isBot": false } ], "reference": null }, { "id": 1045001600382550100, "author_id": 704179090395103200, "author_name": "Saccharine", "timestamp": "11/23/2022 10:43:16", "content": "it's saying", "attachments": [], "mentions": [], "reference": null }, { "id": 1045001682892886100, "author_id": 704179090395103200, "author_name": "Saccharine", "timestamp": "11/23/2022 10:43:36", "content": "that x satisfies both sqrt(13) sin x + 3 = 0 and x is between 0 and 90 degrees", "attachments": [], "mentions": [], "reference": null }, { "id": 1045001764543398000, "author_id": 606107927278780500, "author_name": "superpro", "timestamp": "11/23/2022 10:43:55", "content": "which is impossible?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045005540339748900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 10:58:56", "content": "@superpro Has your question been resolved?", "attachments": [], "mentions": [ { "id": 606107927278780500, "name": "superpro", "discriminator": "8907", "nickname": "superpro", "isBot": false } ], "reference": null }, { "id": 1045009317130162300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 11:13:56", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045010537521610900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 11:18:47", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045011038829019100, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:20:47", "content": "can some one explain this question to me please", "attachments": [ { "id": 1045011038501879900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045011038501879918/MP.PNG", "fileName": "MP.PNG", "fileSizeBytes": 9822 } ], "mentions": [], "reference": null }, { "id": 1045011040800342000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 11:20:47", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045011038829019100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045011302126461000, "author_id": 764959481070616600, "author_name": "Toby", "timestamp": "11/23/2022 11:21:49", "content": "write the cuberoot in the form (1+x)^k", "attachments": [], "mentions": [], "reference": null }, { "id": 1045011531840098400, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:22:44", "content": "can you explain more i'm really stuck on this one", "attachments": [], "mentions": [], "reference": null }, { "id": 1045011607668916400, "author_id": 764959481070616600, "author_name": "Toby", "timestamp": "11/23/2022 11:23:02", "content": "if 1.012=1+x, what is x?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045011856886071300, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:24:02", "content": "wait let me see", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012014537392100, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:24:39", "content": "x=0.012", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012089187618800, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:24:57", "content": "right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012403282264200, "author_id": 764959481070616600, "author_name": "Toby", "timestamp": "11/23/2022 11:26:12", "content": "yup", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012494625800200, "author_id": 764959481070616600, "author_name": "Toby", "timestamp": "11/23/2022 11:26:34", "content": "do something similar to find k by looking at the power of 1.012", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012635378258000, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:27:07", "content": "ok thank you 🙂", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012876512993500, "author_id": 167738180605444100, "author_name": "Task13", "timestamp": "11/23/2022 11:28:05", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045012879390281700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 11:28:05", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045021659221991400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 12:02:59", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025445009182700, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:18:01", "content": "Can someone check this, I think my answer is 9", "attachments": [ { "id": 1045025444740739200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045025444740739154/Capture.PNG", "fileName": "Capture.PNG", "fileSizeBytes": 1209 } ], "mentions": [], "reference": null }, { "id": 1045025447873871900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 12:18:02", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045025445009182700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045025540429590700, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:18:24", "content": "You can check it yourself", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025580116103200, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:18:33", "content": "can you help me", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025599309221900, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:18:38", "content": "Plug in k=9 does it work", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025709803978900, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:19:04", "content": "i'll try", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025964138184700, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:20:05", "content": "if i were to plug it in, would it be 2 x 9 or 29 in the radical", "attachments": [], "mentions": [], "reference": null }, { "id": 1045025994542682200, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:20:12", "content": "2x9", "attachments": [], "mentions": [], "reference": null }, { "id": 1045026011747725400, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:20:16", "content": "k", "attachments": [], "mentions": [], "reference": null }, { "id": 1045026681049591800, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:22:56", "content": "i got the answer 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045026766542082200, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:23:16", "content": "@Pure", "attachments": [], "mentions": [ { "id": 607479321350635500, "name": "Pure", "discriminator": "9389", "nickname": "$Pure$", "isBot": false } ], "reference": null }, { "id": 1045026810489995300, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:23:27", "content": "Huh?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045026864839807100, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:23:40", "content": "i got the answer 2 when i plugged it in", "attachments": [], "mentions": [], "reference": null }, { "id": 1045026984083865700, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:24:08", "content": "Walk me through what you did", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027006355624000, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:24:13", "content": "uh oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027012210864100, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:24:15", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027194839248900, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:24:58", "content": "so it was 2 x 9 + 1 = 7", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027308068671600, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:25:25", "content": "i subtracted the 1 on both sides", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027313349296100, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/23/2022 12:25:27", "content": "It’s sqaure root of 2k", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027565053694100, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:26:27", "content": "i dont get it-", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027595948937200, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:26:34", "content": "nvm thanks for your help", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027604450791400, "author_id": 1034884313302442100, "author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣", "timestamp": "11/23/2022 12:26:36", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045027608020132100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 12:26:37", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033725706166882400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 08:56:54", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033728033019928600, "author_id": 754928458500538400, "author_name": "CROWTUM", "timestamp": "10/23/2022 09:06:08", "content": "need help with 2.2 i am stuck after applying demorgans law", "attachments": [ { "id": 1033728032709562400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033728032709562378/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 15030 } ], "mentions": [], "reference": null }, { "id": 1033728035410682000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 09:06:09", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033728033019928600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033728065404158000, "author_id": 754928458500538400, "author_name": "CROWTUM", "timestamp": "10/23/2022 09:06:16", "content": "(X+Y)(X+Y̅) X̅Z̅\n(X+Y) (X+ Y̅) ( X̅+Z̅)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033728201895186400, "author_id": 754928458500538400, "author_name": "CROWTUM", "timestamp": "10/23/2022 09:06:49", "content": "(X+Y)(X̅+Z̅)+ (X+ Y̅)( X̅+Z̅) is the the next line correct??", "attachments": [], "mentions": [], "reference": null }, { "id": 1033731112104640500, "author_id": 754928458500538400, "author_name": "CROWTUM", "timestamp": "10/23/2022 09:18:22", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1033734887863226400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 09:33:23", "content": "@CROWTUM Has your question been resolved?", "attachments": [], "mentions": [ { "id": 754928458500538400, "name": "CROWTUM", "discriminator": "0408", "nickname": "CROWTUM", "isBot": false } ], "reference": null }, { "id": 1033742038665015300, "author_id": 754928458500538400, "author_name": "CROWTUM", "timestamp": "10/23/2022 10:01:48", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033742041533927400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:01:48", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045027973625028600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 12:28:04", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045030784672731100, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:39:14", "content": "", "attachments": [ { "id": 1045030784349778000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045030784349778053/image.png", "fileName": "image.png", "fileSizeBytes": 17201 } ], "mentions": [], "reference": null }, { "id": 1045030787256434700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 12:39:15", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045030784672731100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045030905942650900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:39:43", "content": "for part a , i do this on my calc and get 0.176", "attachments": [], "mentions": [], "reference": null }, { "id": 1045030923483238400, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:39:47", "content": "but the answer is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031096955449500, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:40:29", "content": "", "attachments": [ { "id": 1045031096468902000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045031096468901959/26E96730-7EBF-45D8-98E1-04BB7E924C17.jpg", "fileName": "26E96730-7EBF-45D8-98E1-04BB7E924C17.jpg", "fileSizeBytes": 4264877 } ], "mentions": [], "reference": null }, { "id": 1045031301595541500, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:41:18", "content": "you cant do it without a calculator ? 👀", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031368284975100, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:41:33", "content": "?", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045031442872291500, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:41:51", "content": "calculate the probability without the calculator", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031478066692200, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:42:00", "content": "no no", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045031488690847900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:42:02", "content": "ik how to do that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031526892568600, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:42:11", "content": "but why is it that with the calc i get a different answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031592021725300, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:42:27", "content": "", "attachments": [ { "id": 1045031591451316400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045031591451316294/image.png", "fileName": "image.png", "fileSizeBytes": 29778 } ], "mentions": [], "reference": null }, { "id": 1045031625215451300, "author_id": 709050483335102600, "author_name": "Hazysleet", "timestamp": "11/23/2022 12:42:35", "content": "Why not?", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045031673634500700, "author_id": 709050483335102600, "author_name": "Hazysleet", "timestamp": "11/23/2022 12:42:46", "content": "It's possible.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031740202291300, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:43:02", "content": "im just asking why is the calculator answer and this different", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031807097262200, "author_id": 709050483335102600, "author_name": "Hazysleet", "timestamp": "11/23/2022 12:43:18", "content": "Oh ok, you were telling him, sorry lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031868392800400, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:43:33", "content": "u can help answer as well if u want", "attachments": [], "mentions": [ { "id": 709050483335102600, "name": "Hazysleet", "discriminator": "7757", "nickname": "Hazysleet", "isBot": false } ], "reference": null }, { "id": 1045031978833035300, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:43:59", "content": "im just asking why is calc answer 0.176 and the actual working out 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045031980116496400, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:43:59", "content": "look at the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032020692172800, "author_id": 709050483335102600, "author_name": "Hazysleet", "timestamp": "11/23/2022 12:44:09", "content": ",w PDF[NormalDistribution[2,2],1]", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032081589276700, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:44:24", "content": "its really closed of 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032094012801200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/23/2022 12:44:26", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032168491057200, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:44:44", "content": "ye", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045032261919178800, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:45:07", "content": "so does the calc just give a more exact answer?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032378281763000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:45:34", "content": "cuz via the integration method we get just 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032421235626000, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:45:44", "content": "i cant answer you why because im not used with this kind of technology lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032461836484700, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:45:54", "content": "ok ok", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045032526072258700, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:46:09", "content": "the integral looks like a gauss integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032528987295900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:46:10", "content": "but i just wanted to confirm tho that 0.176 is a valid answer for part a , right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032556862648400, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:46:17", "content": "it is", "attachments": [], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045032623250084000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:46:33", "content": "^?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032795703091300, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:47:14", "content": "the bounds of the integral are also the same", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032961399079000, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:47:53", "content": "Your calculator is telling you probability X is *less than* 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032964540616800, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:47:54", "content": "so maybe they just deduced that its equal to $0$ because : \n$$ \\int_a ^a f(x) dx = F(a) - F(a) = 0$$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045032976171417700, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/23/2022 12:47:57", "content": "**Ｈｅｒｅｌｓ**", "attachments": [ { "id": 1045032976225939600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045032976225939576/411882877933060109.png", "fileName": "411882877933060109.png", "fileSizeBytes": 28974 } ], "mentions": [], "reference": null }, { "id": 1045032997985992800, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:48:02", "content": "The question wants probability X *is* 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033130471461000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:48:34", "content": "thats CD no?", "attachments": [], "mentions": [ { "id": 182179228840755200, "name": "iCaird", "discriminator": "6258", "nickname": "ΣAC", "isBot": false } ], "reference": null }, { "id": 1045033159240200200, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:48:40", "content": "on a calc, CD tells u less than", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033208888180900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:48:52", "content": "PD tells u = to", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033415788990600, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:49:42", "content": "@Ｈｅｒｅｌｓ but all i wanna know is, for part a , is this the exact answer?", "attachments": [ { "id": 1045033415482814600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045033415482814534/image.png", "fileName": "image.png", "fileSizeBytes": 42812 } ], "mentions": [ { "id": 411882877933060100, "name": "Ｈｅｒｅｌｓ", "discriminator": "1420", "nickname": "Ｈｅｒｅｌｓ", "isBot": false } ], "reference": null }, { "id": 1045033557707456500, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:50:15", "content": "The exact correct answer for a is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033654121922600, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:50:38", "content": ",w normal distribution mean=2, standard deviation=2, x=1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033834648965100, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/23/2022 12:51:21", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033850767675400, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:51:25", "content": "according to wolfram = 1 is 0.176", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033874348069000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:51:31", "content": "which is what my calc gives", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033939682738300, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:51:47", "content": "What is goin on:sadcat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1045033991658537000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:51:59", "content": "do u get my point tho?", "attachments": [], "mentions": [ { "id": 182179228840755200, "name": "iCaird", "discriminator": "6258", "nickname": "ΣAC", "isBot": false } ], "reference": null }, { "id": 1045034035698729100, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:52:09", "content": "like whats the exact answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034037061886000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:52:10", "content": "0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034055177093200, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:52:14", "content": "or 0.176", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034084134559700, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:52:21", "content": "looks like 0.176", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034116250349600, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:52:29", "content": "0, you're integrating from 1 to 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034129919582300, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:52:32", "content": "That's obviously 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034190275629000, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:52:46", "content": "The calculators are clearly calculating something different", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034213973446800, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:52:52", "content": "What that is I don't know", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034214082494600, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:52:52", "content": "why is wolfram giving a different answer then bruh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034256260419700, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:53:02", "content": "😭", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034257715839100, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:53:02", "content": "PDF is not probability", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034281908572300, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:53:08", "content": ",w integral from 2 to 2 of cos(sin(tan(x)))", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034292935405700, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/23/2022 12:53:11", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034299306553300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:53:12", "content": "You are just evaluating a PDF", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034345758466200, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 12:53:23", "content": "Right we're continuous", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034385885384800, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:53:33", "content": "Which has nothing to do with prob", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034470270586900, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/23/2022 12:53:53", "content": "probability is integral of the density of probability", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034556388016100, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:54:14", "content": "ok then how comes for part b i get same answer with my calc as they do with the integral method", "attachments": [ { "id": 1045034556027314300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045034556027314306/image.png", "fileName": "image.png", "fileSizeBytes": 76878 } ], "mentions": [], "reference": null }, { "id": 1045034590491902000, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:54:22", "content": "And WA is evaluating PDF here", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045034623350091800, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:54:30", "content": "Which says nothing", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034794976805000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:55:10", "content": "i get 0.341 for part b", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034811271680000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:55:14", "content": "using the calc", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034842657669100, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:55:22", "content": "Wdym integral method? They legit wrote “integral method” in a)?", "attachments": [], "mentions": [ { "id": 849961886874730500, "name": "SA2017", "discriminator": "0103", "nickname": "SA2017", "isBot": false } ], "reference": null }, { "id": 1045034875230621700, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:55:30", "content": "what", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045034883887681700, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:55:32", "content": "If you mean evaluating integral from 1 to 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034957422211100, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:55:49", "content": "i just said integral method cuz thats the method they used lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045034991354118300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:55:57", "content": "So what is the problem?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045035031720104100, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:56:07", "content": "Agree the prob is integral from 1 to 1 in a?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045035235361964000, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:56:55", "content": "the thing i have is that, why is it that i get matching answers using the integral method and my calc for part b, but i get differing answers for part a?", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045035509451341800, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:58:01", "content": "Your calculator is just evaluating the PDF at x=1 clearly", "attachments": [], "mentions": [], "reference": null }, { "id": 1045035531819552800, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:58:06", "content": "Which is not what you need to do", "attachments": [], "mentions": [], "reference": null }, { "id": 1045035713562943600, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 12:58:49", "content": "for all normal distribution problems, will the probability of any given value always be 0?", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045035797918777500, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:59:10", "content": "(And your calc is evaluating the same integral in b) as “the integral method” there is no difference)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045035947445731300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 12:59:45", "content": "For any continious distribution", "attachments": [], "mentions": [], "reference": null }, { "id": 1045036056963190800, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 13:00:11", "content": "for any continous distrubution problems, the probability of any given value always be 0?", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045036147694379100, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 13:00:33", "content": "For any continious distribution, X, you have P(X=x)=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045036184860106800, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/23/2022 13:00:42", "content": "Since you are integrating from x to x which is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045036283162013800, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 13:01:05", "content": "ok", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045036291252834400, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 13:01:07", "content": "cool", "attachments": [], "mentions": [], "reference": null }, { "id": 1045036305471520900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 13:01:11", "content": "that makes sense", "attachments": [], "mentions": [], "reference": null }, { "id": 1045036320927526900, "author_id": 849961886874730500, "author_name": "SA2017", "timestamp": "11/23/2022 13:01:14", "content": "thank u for ur help mate", "attachments": [], "mentions": [], "reference": null }, { "id": 1045040096681926800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 13:16:14", "content": "@SA2017 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 849961886874730500, "name": "SA2017", "discriminator": "0103", "nickname": "SA2017", "isBot": false } ], "reference": null }, { "id": 1045043194192216000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 13:28:33", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045043445984678000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 13:29:33", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044037566079100, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:31:54", "content": "Hello, is this occupied?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044039705182200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 13:31:55", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045044037566079100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045044255703433300, "author_id": 774739847608139800, "author_name": "Kohlemaennchen", "timestamp": "11/23/2022 13:32:46", "content": "Nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044296581140500, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:32:56", "content": "Can you help me, please?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044519793594500, "author_id": 774739847608139800, "author_name": "Kohlemaennchen", "timestamp": "11/23/2022 13:33:49", "content": "Depends on your question. Just ask !", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044616140968100, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:34:12", "content": "", "attachments": [ { "id": 1045044615792832500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045044615792832522/image.png", "fileName": "image.png", "fileSizeBytes": 64486 } ], "mentions": [], "reference": null }, { "id": 1045044757644202000, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:34:46", "content": "This is the given I've been struggling with. I found my answer but I don't think its correct.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045044904205750300, "author_id": 774739847608139800, "author_name": "Kohlemaennchen", "timestamp": "11/23/2022 13:35:21", "content": "Can you show your work?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045045163870912600, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:36:23", "content": "Okay.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045045334407131100, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:37:03", "content": "", "attachments": [ { "id": 1045045333933170800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045045333933170788/B2A3C888-672B-4496-B78D-27BDD60E9F8B.jpg", "fileName": "B2A3C888-672B-4496-B78D-27BDD60E9F8B.jpg", "fileSizeBytes": 4954992 } ], "mentions": [], "reference": null }, { "id": 1045046469687771100, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:41:34", "content": "This is a hyperbola word problem, by the way.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045046688156500000, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:42:26", "content": "Pre-calculus hyperbola", "attachments": [], "mentions": [ { "id": 774739847608139800, "name": "Kohlemaennchen", "discriminator": "6472", "nickname": "Kohlemaennchen", "isBot": false } ], "reference": null }, { "id": 1045046818343489500, "author_id": 774739847608139800, "author_name": "Kohlemaennchen", "timestamp": "11/23/2022 13:42:57", "content": "OK, where does the ellipse come from?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045047200440389600, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:44:28", "content": "I don't know either. I only followed the last given example...", "attachments": [], "mentions": [], "reference": null }, { "id": 1045047675004911700, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:46:21", "content": "This was the last given example", "attachments": [], "mentions": [], "reference": null }, { "id": 1045047691421433900, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:46:25", "content": "", "attachments": [ { "id": 1045047690733551600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045047690733551646/image.png", "fileName": "image.png", "fileSizeBytes": 96856 } ], "mentions": [], "reference": null }, { "id": 1045047723541401700, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:46:33", "content": "", "attachments": [ { "id": 1045047723176505500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045047723176505424/image.png", "fileName": "image.png", "fileSizeBytes": 98063 } ], "mentions": [], "reference": null }, { "id": 1045047759071350900, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:46:41", "content": "", "attachments": [ { "id": 1045047758752579600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045047758752579615/image.png", "fileName": "image.png", "fileSizeBytes": 52685 } ], "mentions": [], "reference": null }, { "id": 1045048265743290500, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:48:42", "content": "I am only confused on getting \"c\".", "attachments": [], "mentions": [], "reference": null }, { "id": 1045049535304581200, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 13:53:45", "content": "is c 40 or 80 or 100?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045051551925928100, "author_id": 261358084281204740, "author_name": "apollonmh", "timestamp": "11/23/2022 14:01:46", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045055327781007400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:16:46", "content": "@apollonmh Has your question been resolved?", "attachments": [], "mentions": [ { "id": 261358084281204740, "name": "apollonmh", "discriminator": "3991", "nickname": "apollonmh", "isBot": false } ], "reference": null }, { "id": 1045056975198761100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:23:19", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045057227213512800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:24:19", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045058012827619500, "author_id": 757513053460889600, "author_name": "Rakib", "timestamp": "11/23/2022 14:27:26", "content": "Use soundness and completeness of natural deduction to show that a sequent `φ1,φ2,...,φn |- ψ` has a proof if and only if` φ1 →(φ2 →(...(φ^n→ψ)))` is valid. how can I do that?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045058015755260000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:27:27", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045058012827619500, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045061788917563400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:42:26", "content": "@Rakib Has your question been resolved?", "attachments": [], "mentions": [ { "id": 757513053460889600, "name": "Rakib", "discriminator": "2911", "nickname": "Rakib", "isBot": false } ], "reference": null }, { "id": 1045065568170037400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:57:27", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045065818163118200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:58:27", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045066064658190500, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 14:59:26", "content": "", "attachments": [ { "id": 1045066064326832300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045066064326832280/image.png", "fileName": "image.png", "fileSizeBytes": 3462 } ], "mentions": [], "reference": null }, { "id": 1045066067178950700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 14:59:26", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045066064658190500, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045066080625889400, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 14:59:30", "content": "idk how to make x subject of formula", "attachments": [], "mentions": [], "reference": null }, { "id": 1045066102297866400, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 14:59:35", "content": "can someone pls help?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045067083194581000, "author_id": 992218706404986900, "author_name": "ralvrz", "timestamp": "11/23/2022 15:03:29", "content": "Wdym? a is just a constant like 4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045068059632734200, "author_id": 584406164259995600, "author_name": "Zyssalone", "timestamp": "11/23/2022 15:07:21", "content": "Try putting in the form:\nax^2-bx+c=0 then use delta", "attachments": [], "mentions": [], "reference": null }, { "id": 1045069073521840100, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 15:11:23", "content": "yh but i need to make x the subject", "attachments": [], "mentions": [ { "id": 992218706404986900, "name": "ralvrz", "discriminator": "3477", "nickname": "ralvrz", "isBot": false } ], "reference": null }, { "id": 1045069084200546400, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 15:11:26", "content": "so x = sumn", "attachments": [], "mentions": [], "reference": null }, { "id": 1045069524459868300, "author_id": 584406164259995600, "author_name": "Zyssalone", "timestamp": "11/23/2022 15:13:11", "content": "YES", "attachments": [], "mentions": [], "reference": null }, { "id": 1045069632769376400, "author_id": 584406164259995600, "author_name": "Zyssalone", "timestamp": "11/23/2022 15:13:36", "content": "just put it in the form ax^2-bx+c=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045069672246153200, "author_id": 584406164259995600, "author_name": "Zyssalone", "timestamp": "11/23/2022 15:13:46", "content": "Then solve for x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045069935052865500, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 15:14:48", "content": "k thank you", "attachments": [], "mentions": [], "reference": null }, { "id": 1045070807472275600, "author_id": 677590399623364600, "author_name": "Disputo", "timestamp": "11/23/2022 15:18:16", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045070809938546700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 15:18:17", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045071062364324000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 15:19:17", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045076667116306400, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:41:34", "content": "I'm reading this PDF:\nhttp://www.columbia.edu/~abb2190/FLTPoly.pdf\n\nand I am stuck on the first step of the first proof", "attachments": [], "mentions": [], "reference": null }, { "id": 1045076669318316200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 15:41:34", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045076667116306400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045076716814618800, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:41:45", "content": "where does this factorization come from?", "attachments": [ { "id": 1045076716554567800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045076716554567802/image.png", "fileName": "image.png", "fileSizeBytes": 13925 } ], "mentions": [], "reference": null }, { "id": 1045076964836393100, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:42:45", "content": "This can't just be an arbitrary root of unity either, right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045076983350038700, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:42:49", "content": "should probably state that the zetas are the p-th roots of unity", "attachments": [], "mentions": [ { "id": 481494521595691000, "name": "(𒀭)", "discriminator": "5534", "nickname": "(𒀭)", "isBot": false } ], "reference": null }, { "id": 1045077179953844400, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:43:36", "content": "1 doesn't work and it's also a root of unity", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077244504186900, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/23/2022 15:43:51", "content": "Probably primitive", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077255069642900, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:43:54", "content": "cool", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077321129926800, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:44:09", "content": "is there a nice way to derive it?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077426834767900, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:44:35", "content": "just constructively", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077502294507500, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:44:53", "content": "wdym?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077581696876500, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:45:12", "content": "do this multiplication", "attachments": [ { "id": 1045077580954472400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045077580954472448/Screen_Shot_2022-11-23_at_12.45.06_PM.png", "fileName": "Screen_Shot_2022-11-23_at_12.45.06_PM.png", "fileSizeBytes": 73871 } ], "mentions": [], "reference": null }, { "id": 1045077671413030900, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:45:33", "content": "there's probably a more elegant way using algebraic topology something", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077910320599300, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:46:30", "content": "I've tried a couple times with p=3 and failed but there's probably something I'm missing with roots of unity", "attachments": [], "mentions": [], "reference": null }, { "id": 1045077990536659100, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:46:49", "content": "https://brilliant.org/wiki/primitive-roots-of-unity/", "attachments": [], "mentions": [], "reference": null }, { "id": 1045078268564488200, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:47:55", "content": "oh maybe this is related to Cyclotomic Polynomials in the bottom of the brilliant article", "attachments": [ { "id": 1045078268245708800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045078268245708850/Screen_Shot_2022-11-23_at_12.47.35_PM.png", "fileName": "Screen_Shot_2022-11-23_at_12.47.35_PM.png", "fileSizeBytes": 33353 } ], "mentions": [], "reference": null }, { "id": 1045078400416628700, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:48:27", "content": "keep it open if you want to look for a more elegant proof", "attachments": [], "mentions": [], "reference": null }, { "id": 1045078441868939400, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:48:37", "content": "Thanks!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045079275440709800, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:51:55", "content": "So what happens to the terms with powers of zeta lower than p?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045079289319653400, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:51:59", "content": "because that's bound to happen", "attachments": [], "mentions": [], "reference": null }, { "id": 1045079595222839300, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:53:12", "content": "they group together and cancel", "attachments": [], "mentions": [], "reference": null }, { "id": 1045079642270343300, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:53:23", "content": "try it with p=3 or ~~4~~ 5 lol 4 isn't prime", "attachments": [], "mentions": [], "reference": null }, { "id": 1045079980004102100, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:54:43", "content": "use the fact that p is prime in mobius", "attachments": [ { "id": 1045079979299446900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045079979299446887/Screen_Shot_2022-11-23_at_12.54.21_PM.png", "fileName": "Screen_Shot_2022-11-23_at_12.54.21_PM.png", "fileSizeBytes": 23171 }, { "id": 1045079979676938400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045079979676938322/Screen_Shot_2022-11-23_at_12.54.33_PM.png", "fileName": "Screen_Shot_2022-11-23_at_12.54.33_PM.png", "fileSizeBytes": 43924 } ], "mentions": [], "reference": null }, { "id": 1045080096433786900, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:55:11", "content": "Okay so its this term that cancels out then", "attachments": [ { "id": 1045080096135983100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045080096135983154/image.png", "fileName": "image.png", "fileSizeBytes": 1384 } ], "mentions": [], "reference": null }, { "id": 1045080116331552800, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:55:16", "content": "at least for p=3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045080291317907500, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/23/2022 15:55:58", "content": "that looks right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045080673188327400, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:57:29", "content": "wait wouldn't that be mu(3) though?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045080717018800300, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:57:39", "content": "okay wait yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045080743044460500, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:57:45", "content": "zeta+zeta^2 is mu(3) right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045080779400683500, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 15:57:54", "content": "so the 1 cancels that, cool", "attachments": [], "mentions": [], "reference": null }, { "id": 1045082645022900200, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 16:05:19", "content": "Okay so this should work then in the general case, right?", "attachments": [ { "id": 1045082644586705000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045082644586704996/image.png", "fileName": "image.png", "fileSizeBytes": 31714 } ], "mentions": [], "reference": null }, { "id": 1045084017122365600, "author_id": 481494521595691000, "author_name": "(𒀭)", "timestamp": "11/23/2022 16:10:46", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045084020112904200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:10:47", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045084273511780500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:11:47", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045084623614521300, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:13:11", "content": "How do I do part B?", "attachments": [ { "id": 1045084623035695100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045084623035695144/IMG_5108.jpg", "fileName": "IMG_5108.jpg", "fileSizeBytes": 908878 } ], "mentions": [], "reference": null }, { "id": 1045084626395353200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:13:11", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045084623614521300, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045084689569960100, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:13:26", "content": "Do I do side BC first", "attachments": [], "mentions": [], "reference": null }, { "id": 1045084793324437500, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:13:51", "content": "And am I trying to find the opposite side", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085044722634800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:14:51", "content": "errr", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085085164126300, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:15:01", "content": "whats given n whats the unknown", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085119532257400, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:15:09", "content": "or is it all in ur Q", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085148124811300, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:15:16", "content": "it looks like those r ur writing idk", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085659737632800, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:17:18", "content": "The diagrams of the shapes?", "attachments": [], "mentions": [ { "id": 187850624421986300, "name": "Circle", "discriminator": "0025", "nickname": "💕Spirit Immortal Layer 8", "isBot": false } ], "reference": null }, { "id": 1045085684106547200, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:17:23", "content": "That’s not mine that’s what’s printed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085783134056600, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:17:47", "content": "no the marking", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085819700007000, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:17:56", "content": "That’s printed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085825987256400, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:17:57", "content": "of lengths 2,4,theta", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085835390894200, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:17:59", "content": "Not mine", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085837823582200, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:18:00", "content": "oki", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085914961031300, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:18:18", "content": "What do the numbers inside the square but outside of the triangle mean?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085955117301800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:18:28", "content": "right tri with len 2,4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045085968350314600, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:18:31", "content": "whats the angle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086015880183800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:18:42", "content": "i think its just len", "attachments": [], "mentions": [ { "id": 722683408190406700, "name": "waterr beam", "discriminator": "5760", "nickname": "waterr beam", "isBot": false } ], "reference": null }, { "id": 1045086143936467000, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:19:13", "content": "Well the triangles in the square are 90 degree but the one in the middle is not 90 degrees I don’t think", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086179021819900, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:19:21", "content": "ok well", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086206226088000, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:19:28", "content": "im bit tired", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086216527302700, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:19:30", "content": "but anw", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086290976178200, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:19:48", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086295539589100, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:19:49", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086403647774800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:15", "content": "these 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086408051802200, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:16", "content": "", "attachments": [ { "id": 1045086407842083000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045086407842082947/IMG_51082.jpg", "fileName": "IMG_51082.jpg", "fileSizeBytes": 400243 } ], "mentions": [], "reference": null }, { "id": 1045086439118995600, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:23", "content": "u can find the bit closest to the theta", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086456651198600, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:28", "content": "the angle u r tryna find", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086507402285200, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:40", "content": "then say u found the angle banana", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086534895939700, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:46", "content": "then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086562788057100, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:53", "content": "theta+2 banana=90", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086576897695900, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:20:56", "content": "ok but", "attachments": [], "mentions": [], "reference": null }, { "id": 1045086597344919600, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/23/2022 16:21:01", "content": "im out gl", "attachments": [], "mentions": [], "reference": null }, { "id": 1045087988683657200, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/23/2022 16:26:33", "content": "okey cheerios", "attachments": [], "mentions": [], "reference": null }, { "id": 1045091765406941200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:41:33", "content": "@waterr beam Has your question been resolved?", "attachments": [], "mentions": [ { "id": 722683408190406700, "name": "waterr beam", "discriminator": "5760", "nickname": "waterr beam", "isBot": false } ], "reference": null }, { "id": 1045095541777907700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:56:34", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045095794052698200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 16:57:34", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045098851834544100, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:09:43", "content": "Assuming f(x) = cos(x), what is the maximum number of integer points that can be contained in a one-to-one interval on f(x)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045098853864579200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:09:43", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045098851834544100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045099018453274600, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:10:23", "content": "So far the most I've found is 4, but the issue is I don't know if that's the max, and if it is, how would I prove that it's the maximum?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045099069023989900, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:10:35", "content": "(i'm using desmos to gather my information)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045099439578157000, "author_id": 251063856032382980, "author_name": "Diesel", "timestamp": "11/23/2022 17:12:03", "content": "What do you mean one to one interval?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045100024842965100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:14:22", "content": "how'd you get 4?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045101178691784800, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:18:58", "content": "An interval of the graph cos(x) that is one to one, an example is [0, pi/2], on that interval there are no y values that repeat themselves for all x", "attachments": [], "mentions": [ { "id": 251063856032382980, "name": "Diesel", "discriminator": "5243", "nickname": "Diesel", "isBot": false } ], "reference": null }, { "id": 1045101507638464500, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:20:16", "content": "a better example is [0, pi] lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045101744855720100, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:21:13", "content": "because if you take a one-to-one interval, lets say [0, pi], it contains 4 integers: 0, 1, 2, and 3", "attachments": [], "mentions": [ { "id": 984319941417251000, "name": "💜𝓁𝒶𝓎𝓁𝒶💜", "discriminator": "4139", "nickname": "💜𝓁𝒶𝓎𝓁𝒶💜", "isBot": false } ], "reference": null }, { "id": 1045101948141064200, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:22:01", "content": "do you think you could pick any longer interval and still be one-to-one?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102305848070300, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:23:26", "content": "no I don't think so, because in a period of cos(x) it does a full rotation back to its start value - so that means that in order to have a one to one I would need only half of that full rotation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102388454895600, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:23:46", "content": "So essentially it would have to be a length of pi (inclusive) for every one-to-one interval", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102445317062800, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:24:00", "content": "at most pi", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102458940170400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:24:03", "content": "but yep that sounds good", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102631942639600, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:24:44", "content": "okay but how would I prove that 4 is the max? The question sheet says to prove by contradiction if I can", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102671155183700, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:24:53", "content": "you just did?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102790554427400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:25:22", "content": "if there was an interval with 5 integers in it, it's length would be at least 4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102876533465100, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:25:42", "content": "woooooahhhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102885014347800, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:25:44", "content": "crazy", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102891184160900, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:25:46", "content": "thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102897668558800, "author_id": 1017400398740471800, "author_name": "eamon", "timestamp": "11/23/2022 17:25:47", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045102900742992000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:25:48", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045102912403144700, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/23/2022 17:25:51", "content": "yep ^-^", "attachments": [], "mentions": [], "reference": null }, { "id": 1045103152644493400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:26:48", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045103676680851600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:28:53", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045103674160074800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045103964930179200, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/23/2022 17:30:02", "content": "The perimeter?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045104534499897500, "author_id": 992218706404986900, "author_name": "ralvrz", "timestamp": "11/23/2022 17:32:18", "content": "Half the perimeter of a circle with radius 2cm plus the perimeter of a circle with radius 1cm", "attachments": [], "mentions": [], "reference": null }, { "id": 1045104838989582300, "author_id": 858286903702585300, "author_name": "Taexingbam", "timestamp": "11/23/2022 17:33:30", "content": "Hii I need a little help, I have a math test tomorrow, derivation of functions, and I don't know how to do it I tried to learn but it doesn't work😭", "attachments": [], "mentions": [], "reference": null }, { "id": 1045105040316182500, "author_id": 828450319540813800, "author_name": "Clu3lessツ", "timestamp": "11/23/2022 17:34:18", "content": "put a picture of a question and i can try to help", "attachments": [], "mentions": [], "reference": null }, { "id": 1045105526620557400, "author_id": 992218706404986900, "author_name": "ralvrz", "timestamp": "11/23/2022 17:36:14", "content": "Use an available channel this one is occupied, but I doubt anyone can make the knowledge appear in your brain", "attachments": [], "mentions": [ { "id": 858286903702585300, "name": "Taexingbam", "discriminator": "9803", "nickname": "Taexingbam", "isBot": false } ], "reference": null }, { "id": 1045107883450310700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:45:36", "content": "@bоbо Has your question been resolved?", "attachments": [], "mentions": [ { "id": 469207111629537300, "name": "bоbо", "discriminator": "4183", "nickname": "bоbо", "isBot": false } ], "reference": null }, { "id": 1045110877298360300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:57:30", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045111128906281000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 17:58:30", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045112357048819800, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:03:23", "content": "How do I do the second portion?", "attachments": [ { "id": 1045112356600037500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045112356600037466/Screenshot_2022-11-23_at_3.02.45_PM.png", "fileName": "Screenshot_2022-11-23_at_3.02.45_PM.png", "fileSizeBytes": 63651 } ], "mentions": [], "reference": null }, { "id": 1045112360236503200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 18:03:23", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045112357048819800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045113932534251600, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/23/2022 18:09:38", "content": "Try splitting the line integral up over the two different paths", "attachments": [], "mentions": [], "reference": null }, { "id": 1045114102760087700, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:10:19", "content": "Can you elaborate a bit more please? I make two different integrals?", "attachments": [], "mentions": [ { "id": 800622149903056900, "name": "Shen", "discriminator": "1106", "nickname": "Shen", "isBot": false } ], "reference": null }, { "id": 1045114123895181400, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/23/2022 18:10:24", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045114184758743000, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/23/2022 18:10:38", "content": "One is where you integrate over the first path, and the 2nd is where you integrate over the next path", "attachments": [], "mentions": [], "reference": null }, { "id": 1045114934335377400, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:13:37", "content": "Aren't you supposed to use question 1 to answer that ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115218029711400, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:14:45", "content": "Uhh im actually not sure how to start at all except the limits. sooo", "attachments": [], "mentions": [ { "id": 484702191156985860, "name": "themateo713", "discriminator": "5303", "nickname": "mateo713", "isBot": false } ], "reference": null }, { "id": 1045115531654598700, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:16:00", "content": "The integral over any line is the difference of potential between the endpoints ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115681462571100, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:16:35", "content": "???", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115855287107700, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:17:17", "content": "Ever taken electrodynamics or another class involving vector calculus ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115908089192600, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:17:29", "content": "Nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115935595438200, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:17:36", "content": "Well I took calc 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045115944143437800, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:17:38", "content": "Well then yeah, just integrate it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116037156327400, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:18:00", "content": "It's not a very hard scalar product at all", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116057309937700, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:18:05", "content": "Can you help me set up the integral please?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116125878440000, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:18:21", "content": "Each line has a very simple dr", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116210855035000, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:18:41", "content": "So break it up into 2 integrals for which dr is simple and you can just compute the dot product", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116429244043400, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:19:34", "content": "So the first integral limits are lower limit 0,0 upper 2,1. and the second is lower 2,1 to upper 6,5?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045116715362680800, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:20:42", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045117396781912000, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:23:24", "content": "Sorry im still confused. im integrating dxdy. What do I put for my internal componenets?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045117770674745300, "author_id": 484702191156985860, "author_name": "themateo713", "timestamp": "11/23/2022 18:24:53", "content": "dr = (2, 1) dl", "attachments": [], "mentions": [], "reference": null }, { "id": 1045118149504282800, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:26:24", "content": "???", "attachments": [], "mentions": [], "reference": null }, { "id": 1045121925363531900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 18:41:24", "content": "@Gene Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1017297369773125600, "name": "Gene", "discriminator": "4571", "nickname": "Gene", "isBot": false } ], "reference": null }, { "id": 1045124234378215600, "author_id": 1017297369773125600, "author_name": "Gene", "timestamp": "11/23/2022 18:50:34", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045124237368754200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 18:50:35", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045124488867631100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 18:51:35", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045125648999514100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 18:56:12", "content": "", "attachments": [ { "id": 1045125649058238600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045125649058238595/image.png", "fileName": "image.png", "fileSizeBytes": 37612 } ], "mentions": [], "reference": null }, { "id": 1045125651881009200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 18:56:12", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045125648999514100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045125784316158100, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/23/2022 18:56:44", "content": "What have you tried?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045125866419671000, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 18:57:04", "content": "borderline nothing", "attachments": [], "mentions": [], "reference": null }, { "id": 1045125897054863400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 18:57:11", "content": "im so lost", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126623000793100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:04", "content": "pauli", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126628096880600, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:05", "content": "please", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126629942382700, "author_id": 408720262368854000, "author_name": "❤ Pauli Excluder ❤", "timestamp": "11/23/2022 19:00:06", "content": "Hint: the degree of the remainder is always smaller than the polynomial that’s doing the denominator.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126682371166200, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:18", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126696535334900, "author_id": 408720262368854000, "author_name": "❤ Pauli Excluder ❤", "timestamp": "11/23/2022 19:00:21", "content": "Why are there two sniffys now?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126724150632600, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:28", "content": "i just changed my pfp lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126779288965200, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:41", "content": "i know but i dont know what to do", "attachments": [], "mentions": [ { "id": 408720262368854000, "name": "❤ Pauli Excluder ❤", "discriminator": "3063", "nickname": "❤ Pauli Excluder ❤", "isBot": false } ], "reference": null }, { "id": 1045126779993587800, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:00:41", "content": "express P(x) in the form\nP(x) = D(x)Q(x) + R(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126795072114700, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:45", "content": "right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126798318518300, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:46", "content": "i tried", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126808112218100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:48", "content": "then what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045126818212085800, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:00:50", "content": "like hold on", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127025955967100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:01:40", "content": "", "attachments": [ { "id": 1045127025909833900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045127025909833829/image.png", "fileName": "image.png", "fileSizeBytes": 65887 } ], "mentions": [], "reference": null }, { "id": 1045127232089239600, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:02:29", "content": "very poor choice of letters", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127466055897200, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:03:25", "content": "d(x) would usually be used to represent the divisor, which is the (x-1)(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127522725134300, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:03:38", "content": "true", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127570481483900, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:03:50", "content": "anyway, applying remainder theorem to what you have in the first line will get you what you need", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127642271191000, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:04:07", "content": "how", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127697078165600, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:04:20", "content": "do you know remainder theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127742854799400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:04:31", "content": "yes but how does it implement into this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127793840762900, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:04:43", "content": "exactly as remainder theorem states", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127853840289900, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:04:57", "content": "isnt it just this", "attachments": [], "mentions": [ { "id": 220517274845577200, "name": "ramonov", "discriminator": "0921", "nickname": "ℝamonov", "isBot": false } ], "reference": null }, { "id": 1045127876531474400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:05:03", "content": "how do i solve for y from that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127914913546400, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:05:12", "content": "erase the second line", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127929979486200, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:05:16", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045127990150955000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:05:30", "content": "I didn't say to do anything with the second line, implying that you should ignore that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128011894235100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:05:35", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128111571873800, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:05:59", "content": "that's a quotient remainder form", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128142039294000, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:06:06", "content": "", "attachments": [ { "id": 1045128141699547100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045128141699547156/image.png", "fileName": "image.png", "fileSizeBytes": 51397 } ], "mentions": [], "reference": null }, { "id": 1045128208116359300, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:06:22", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128344833884200, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:06:54", "content": "look up remainder theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128458537271300, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:07:22", "content": "there should be a relatively simple action that could be performed from here", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128682915766400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:08:15", "content": "", "attachments": [ { "id": 1045128682617966600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045128682617966592/image.png", "fileName": "image.png", "fileSizeBytes": 39233 } ], "mentions": [], "reference": null }, { "id": 1045128690058661900, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:08:17", "content": "this??", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128807461421000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:08:45", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128844857856000, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:08:54", "content": "i know this but how do i apply", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128907285872600, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:09:09", "content": "> exactly as remainder theorem states", "attachments": [], "mentions": [], "reference": null }, { "id": 1045128958808690700, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:09:21", "content": "I don't see your exact issue", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129000340705300, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:09:31", "content": "p(2)??", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129022432096300, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:09:36", "content": "yeh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129066770071700, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:09:47", "content": "but idk the formula for p(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129105579974700, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:09:56", "content": "", "attachments": [ { "id": 1045129105277976700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045129105277976647/image.png", "fileName": "image.png", "fileSizeBytes": 63539 } ], "mentions": [], "reference": null }, { "id": 1045129188824322000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:10:16", "content": "you have enough in what you wrote", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129296336924800, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:10:41", "content": "using what you wrote in your first line, P(2) = ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129311537078300, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:10:45", "content": "and then simplify", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129351068389400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:10:54", "content": "im stupid", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129366738325500, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:10:58", "content": "ty", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129489463652400, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:11:27", "content": "im dum", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129499836166100, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:11:30", "content": "sry", "attachments": [], "mentions": [], "reference": null }, { "id": 1045129782490304600, "author_id": 408720262368854000, "author_name": "❤ Pauli Excluder ❤", "timestamp": "11/23/2022 19:12:37", "content": "Wait what if the thing that’s dividing p(x) is a 3rd degree polynomial? With x squared and x and a constant?", "attachments": [], "mentions": [ { "id": 368724474524205060, "name": "Sniffywiffy", "discriminator": "8178", "nickname": "Sniffywiffy", "isBot": false } ], "reference": null }, { "id": 1045130081170894800, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:13:48", "content": "remainder will be at most 1 degree lower than the divisor", "attachments": [], "mentions": [], "reference": null }, { "id": 1045130404954374100, "author_id": 408720262368854000, "author_name": "❤ Pauli Excluder ❤", "timestamp": "11/23/2022 19:15:06", "content": "So the divisor CAN have an x squared plus x plus constant? Cuz it’s a degree higher than the numerator 2x+3?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045130622441640100, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:15:57", "content": "you can divide by anything you want", "attachments": [], "mentions": [], "reference": null }, { "id": 1045130668318924800, "author_id": 368724474524205060, "author_name": "Sniffywiffy", "timestamp": "11/23/2022 19:16:08", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045130672756502500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:16:09", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033742294970552400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:02:49", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033743651303588000, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:08:12", "content": "Hello guys, how do I solve this? \nI learned that I need to use systems of equations, but things get messy there", "attachments": [ { "id": 1033743651009990700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033743651009990696/20221023_220651.jpg", "fileName": "20221023_220651.jpg", "fileSizeBytes": 37030 } ], "mentions": [], "reference": null }, { "id": 1033743653769846900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:08:13", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033743651303588000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033743810443870200, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:08:50", "content": "Like, where would I put the value of \nb= 4-2A", "attachments": [], "mentions": [], "reference": null }, { "id": 1033743907458126000, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:09:13", "content": "I got three equations, 2 from the functions with given point", "attachments": [], "mentions": [], "reference": null }, { "id": 1033743969529647100, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:09:28", "content": "And the derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744445344067600, "author_id": 219776891408613380, "author_name": "Bboywe12", "timestamp": "10/23/2022 10:11:21", "content": "u have 2 points known on the curve (-1,6) and (1,2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744525417517200, "author_id": 219776891408613380, "author_name": "Bboywe12", "timestamp": "10/23/2022 10:11:40", "content": "so u can make 2 equations with a,b,c", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744593751130100, "author_id": 219776891408613380, "author_name": "Bboywe12", "timestamp": "10/23/2022 10:11:57", "content": "then u can sub b=4-2A into those 2 equations to get 2 equations with 2 variables", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744690941526000, "author_id": 219776891408613380, "author_name": "Bboywe12", "timestamp": "10/23/2022 10:12:20", "content": "solve simultaneously then sub value of A into b=4-2A to get b", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744877944578000, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:13:04", "content": "I see!!! Since the equation 1 and 2 can be calculated, I have to plug in B there", "attachments": [], "mentions": [], "reference": null }, { "id": 1033744981267066900, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:13:29", "content": "Thanks, Quagmire profile pic bro", "attachments": [], "mentions": [ { "id": 219776891408613380, "name": "Bboywe12", "discriminator": "7925", "nickname": "Bboywe12", "isBot": false } ], "reference": null }, { "id": 1033745128495530000, "author_id": 219776891408613380, "author_name": "Bboywe12", "timestamp": "10/23/2022 10:14:04", "content": "", "attachments": [ { "id": 1033745128063504400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033745128063504424/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 350579 } ], "mentions": [], "reference": null }, { "id": 1033745897626013800, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:17:08", "content": "Wait bro..should my dy/dx or the tangent line equal to 0?", "attachments": [], "mentions": [ { "id": 219776891408613380, "name": "Bboywe12", "discriminator": "7925", "nickname": "Bboywe12", "isBot": false } ], "reference": null }, { "id": 1033745942018535400, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:17:18", "content": "I know the slope is 4 though", "attachments": [], "mentions": [], "reference": null }, { "id": 1033745993751068700, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:17:30", "content": "f'(1) = 4", "attachments": [], "mentions": [], "reference": null }, { "id": 1033746495096229900, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:19:30", "content": "Got it got it..thanks guys", "attachments": [], "mentions": [], "reference": null }, { "id": 1033746517275709600, "author_id": 579957373288972300, "author_name": "SulfuricSul", "timestamp": "10/23/2022 10:19:35", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033746520236884000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:19:36", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045130748098781200, "author_id": 408720262368854000, "author_name": "❤ Pauli Excluder ❤", "timestamp": "11/23/2022 19:16:27", "content": "Bye sniff, hope you find better luck with your problem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045130924741906600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:17:10", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045132473694171100, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:23:19", "content": "", "attachments": [ { "id": 1045132473211818000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045132473211818024/IMG_4539.jpg", "fileName": "IMG_4539.jpg", "fileSizeBytes": 2422772 } ], "mentions": [], "reference": null }, { "id": 1045132476944744400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:23:20", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045132473694171100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045132715260924000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:24:16", "content": "have you made any attempt at all?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133048750031000, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:25:36", "content": "kinda but I still don’t understand how to solve it", "attachments": [], "mentions": [ { "id": 220517274845577200, "name": "ramonov", "discriminator": "0921", "nickname": "ℝamonov", "isBot": false } ], "reference": null }, { "id": 1045133124633382900, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:25:54", "content": "show what you tried and/or thought about", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133667216920600, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:28:03", "content": "so I was thinking like the whole thing equals 81 degrees so you subtract 34 and 8 and BOOM you get the answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133684451323900, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:28:08", "content": "but that sounds too easy", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133723479318500, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:28:17", "content": "so it’s probably wrong ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133848700264400, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:28:47", "content": "wdym by subtract 34 and 8", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133894405587000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:28:58", "content": "take things slowly one step at a time", "attachments": [], "mentions": [], "reference": null }, { "id": 1045133973036224600, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:29:16", "content": "write out clear equations to represent what you have", "attachments": [], "mentions": [], "reference": null }, { "id": 1045134724273807400, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:32:15", "content": "81 -34 = 47 degrees", "attachments": [], "mentions": [], "reference": null }, { "id": 1045134925298417800, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:33:03", "content": "so the left side has to be (55-8)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045134977475563500, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:33:16", "content": "So x equals 55?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045135128415977600, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:33:52", "content": "yes, but the work is poorly structured", "attachments": [], "mentions": [], "reference": null }, { "id": 1045135328027082800, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:34:39", "content": "what are these problems called?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045136053511671900, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:37:32", "content": "well structuring the work itself is algebra", "attachments": [], "mentions": [], "reference": null }, { "id": 1045136268947882000, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:38:24", "content": "the specific type of problem here could be described as geometry with variables", "attachments": [], "mentions": [], "reference": null }, { "id": 1045136535655292900, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:39:27", "content": "Can I get an idea of how you would work out the problem yourself?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045136554802282500, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:39:32", "content": "as simply as you can put it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045136578068090900, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 19:39:37", "content": "eg a better structure would be to start with something like\nx-8 + 34 = 81 \nor x - 8 = 81 - 34\nand solving for x will tell you exactly what x is", "attachments": [], "mentions": [], "reference": null }, { "id": 1045137002460364800, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:41:19", "content": "Ok ty", "attachments": [], "mentions": [], "reference": null }, { "id": 1045137415238590600, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/23/2022 19:42:57", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045137417960689700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:42:58", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045140371195301900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:54:42", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045141615796293800, "author_id": 404546189372162050, "author_name": "Skywalker", "timestamp": "11/23/2022 19:59:38", "content": "Hey all", "attachments": [], "mentions": [], "reference": null }, { "id": 1045141619042693100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 19:59:39", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045141615796293800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045141626458230800, "author_id": 404546189372162050, "author_name": "Skywalker", "timestamp": "11/23/2022 19:59:41", "content": "Quick question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045141835095490600, "author_id": 404546189372162050, "author_name": "Skywalker", "timestamp": "11/23/2022 20:00:31", "content": "If some number has a remainder x when modulus y is applied", "attachments": [], "mentions": [], "reference": null }, { "id": 1045141927928025200, "author_id": 404546189372162050, "author_name": "Skywalker", "timestamp": "11/23/2022 20:00:53", "content": "Do you say \"<number> has remainder x modulus y\"?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045143378603552800, "author_id": 404546189372162050, "author_name": "Skywalker", "timestamp": "11/23/2022 20:06:39", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045143381380173800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:06:39", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045144147624996900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:09:42", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045145070992621600, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:13:22", "content": "I don't understand why this is wrong", "attachments": [ { "id": 1045145070703218700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045145070703218718/image.png", "fileName": "image.png", "fileSizeBytes": 54896 } ], "mentions": [], "reference": null }, { "id": 1045145073576325100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:13:23", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045145070992621600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045145131088629900, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:13:37", "content": "it's the limit not the evaluated function value no?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045145666348925000, "author_id": 527810341497733100, "author_name": "MARTIN", "timestamp": "11/23/2022 20:15:44", "content": "As x approaches negative 1, f(x) approaches 2, and as f(x) approaches 2, f(f(x)) approaches 5", "attachments": [], "mentions": [], "reference": null }, { "id": 1045145742689452200, "author_id": 220517274845577200, "author_name": "ramonov", "timestamp": "11/23/2022 20:16:02", "content": "approaches 2 from below (2^-)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045146138954707100, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:17:37", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045146273344397300, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:18:09", "content": "is it cause it's like a piecewise function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045146325458620400, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:18:21", "content": "and that evaluated function value is of that one part of the function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045147592050364400, "author_id": 288914271407046660, "author_name": "function", "timestamp": "11/23/2022 20:23:23", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045147594659201000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:23:24", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045147846678159400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:24:24", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045149591789637600, "author_id": 204674226437750800, "author_name": "Aeternux", "timestamp": "11/23/2022 20:31:20", "content": "I don't understand how rewriting the trig identities gets the anti-derivative of sec^2 x + 1dx", "attachments": [ { "id": 1045149591688978400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045149591688978482/Screenshot_2022-11-23_202932.png", "fileName": "Screenshot_2022-11-23_202932.png", "fileSizeBytes": 14098 } ], "mentions": [], "reference": null }, { "id": 1045149594029392000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:31:21", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045149591789637600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045152467354140700, "author_id": 521464336284254200, "author_name": "Gamer Dio", "timestamp": "11/23/2022 20:42:46", "content": "tan²x = sec²x - 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045153251739304100, "author_id": 204674226437750800, "author_name": "Aeternux", "timestamp": "11/23/2022 20:45:53", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045153254306222100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:45:53", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045153505993834500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 20:46:53", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045157098037719200, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:01:10", "content": "", "attachments": [ { "id": 1045157097731543000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045157097731543040/image.png", "fileName": "image.png", "fileSizeBytes": 62349 } ], "mentions": [], "reference": null }, { "id": 1045157100445237200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 21:01:10", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045157098037719200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045157464871551000, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:02:37", "content": "so i let AB = vector x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045157537625935900, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:02:55", "content": "so AD = 2/3 vector x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045157582718906400, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:03:05", "content": "AC = vector y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045157768325255200, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:03:50", "content": "AQ = 1/2( vector CD) + vector y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045157876823507100, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:04:15", "content": "which becomes 1/2 vector y + 1/3 vector x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045158025092149200, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:04:51", "content": "and then when i do the same shit for AE i get 1/5 (7vector y - 2vector x) or so and there is no relation whatsoever", "attachments": [], "mentions": [], "reference": null }, { "id": 1045158055999963100, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:04:58", "content": "so what am i doing wrong", "attachments": [], "mentions": [], "reference": null }, { "id": 1045161831796318200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 21:19:58", "content": "@Hills Has your question been resolved?", "attachments": [], "mentions": [ { "id": 376860738695856100, "name": "Hills", "discriminator": "0434", "nickname": "Hills", "isBot": false } ], "reference": null }, { "id": 1045161917200744400, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 21:20:19", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045169467925200900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 21:50:19", "content": "@Hills Has your question been resolved?", "attachments": [], "mentions": [ { "id": 376860738695856100, "name": "Hills", "discriminator": "0434", "nickname": "Hills", "isBot": false } ], "reference": null }, { "id": 1045184599132741800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/23/2022 22:50:27", "content": "@Hills Has your question been resolved?", "attachments": [], "mentions": [ { "id": 376860738695856100, "name": "Hills", "discriminator": "0434", "nickname": "Hills", "isBot": false } ], "reference": null }, { "id": 1045185131213762700, "author_id": 376860738695856100, "author_name": "Hills", "timestamp": "11/23/2022 22:52:33", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045206729694117900, "author_id": 816885647125905400, "author_name": "Loloitsjo", "timestamp": "11/24/2022 00:18:23", "content": "impasta", "attachments": [], "mentions": [ { "id": 368724474524205060, "name": "Sniffywiffy", "discriminator": "8178", "nickname": "Sniffywiffy", "isBot": false } ], "reference": null }, { "id": 1045216796858388500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 00:58:23", "content": "@Hills Has your question been resolved?", "attachments": [], "mentions": [ { "id": 376860738695856100, "name": "Hills", "discriminator": "0434", "nickname": "Hills", "isBot": false } ], "reference": null }, { "id": 1045277291342733400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 04:58:46", "content": "@Hills Has your question been resolved?", "attachments": [], "mentions": [ { "id": 376860738695856100, "name": "Hills", "discriminator": "0434", "nickname": "Hills", "isBot": false } ], "reference": null }, { "id": 1045337691497181300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 08:58:47", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045346582586990600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 09:34:06", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347252337643800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:36:46", "content": ".open", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347428439703600, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:37:28", "content": "i need help with question d", "attachments": [ { "id": 1045347428129308800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045347428129308762/Screen_Shot_2022-11-24_at_10.34.35_pm.png", "fileName": "Screen_Shot_2022-11-24_at_10.34.35_pm.png", "fileSizeBytes": 785563 } ], "mentions": [], "reference": null }, { "id": 1045347433154093000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 09:37:29", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045347428439703600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045347582882365600, "author_id": 458981292332285950, "author_name": "ItzAine", "timestamp": "11/24/2022 09:38:05", "content": "3.6/x = 4.7/x+1.3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347586128748500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:38:06", "content": "use thales", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347626654105600, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:38:15", "content": "year 9 level", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347682123780100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:38:29", "content": "a \n2/2+x = 1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347691103789000, "author_id": 483676919418585100, "author_name": "𝓟𝓮𝓪𝓬𝓮", "timestamp": "11/24/2022 09:38:31", "content": "huh what?", "attachments": [], "mentions": [ { "id": 458981292332285950, "name": "ItzAine", "discriminator": "5021", "nickname": "ItzAine", "isBot": false } ], "reference": null }, { "id": 1045347720921104500, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:38:38", "content": "question D", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347749027139600, "author_id": 483676919418585100, "author_name": "𝓟𝓮𝓪𝓬𝓮", "timestamp": "11/24/2022 09:38:44", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347844296556700, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:39:07", "content": "d \n3.6/1.1 = x/1.3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347938978766800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:39:30", "content": "but why 1.3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347953314893800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:39:33", "content": "its not a triangle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347962919854100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:39:35", "content": "x = (3.6*1.3)/1.1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045347982377234400, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:39:40", "content": "althougth it gives me the right answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348061620228100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:39:59", "content": "because it's rules", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348138656993400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:40:17", "content": "Thales formola", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348142717087900, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:40:18", "content": "are you able to send me the formula", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348219875492000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:40:37", "content": "yaah just minets", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348240234647600, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:40:42", "content": "thx", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348360061726700, "author_id": 483676919418585100, "author_name": "𝓟𝓮𝓪𝓬𝓮", "timestamp": "11/24/2022 09:41:10", "content": "", "attachments": [ { "id": 1045348359772311700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045348359772311633/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 30518 } ], "mentions": [], "reference": null }, { "id": 1045348382585143300, "author_id": 483676919418585100, "author_name": "𝓟𝓮𝓪𝓬𝓮", "timestamp": "11/24/2022 09:41:16", "content": "in basic basic form", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348533257109500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:41:51", "content": "https://en.wikipedia.org/wiki/Intercept_theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348601263575200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:42:08", "content": "you can read abbout in wikipedia", "attachments": [], "mentions": [], "reference": null }, { "id": 1045348857963356200, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:43:09", "content": "i got the write answer using this can you explain how it works?", "attachments": [], "mentions": [ { "id": 1045261994170781700, "name": "mojii", "discriminator": "0173", "nickname": "mojii", "isBot": false } ], "reference": null }, { "id": 1045349748095320200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:46:41", "content": "", "attachments": [ { "id": 1045349747818508300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045349747818508308/20221124_181622873.jpg", "fileName": "20221124_181622873.jpg", "fileSizeBytes": 1607107 } ], "mentions": [], "reference": null }, { "id": 1045349852906782700, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:47:06", "content": "understand?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045350663267303400, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:50:19", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045350707705954300, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:50:30", "content": "but how would i know how to label other triangles", "attachments": [], "mentions": [], "reference": null }, { "id": 1045350748487159800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 09:50:40", "content": "to use the formula", "attachments": [], "mentions": [], "reference": null }, { "id": 1045352099594129400, "author_id": 729983808568295400, "author_name": "Shah", "timestamp": "11/24/2022 09:56:02", "content": "https://www.youtube.com/watch?v=YiFwvAFk-xs", "attachments": [], "mentions": [], "reference": null }, { "id": 1045352195555602400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:56:25", "content": "parallel line", "attachments": [], "mentions": [], "reference": null }, { "id": 1045352224882184200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 09:56:32", "content": "ok?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045353609379971200, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:02:02", "content": "wdym parallel line", "attachments": [], "mentions": [], "reference": null }, { "id": 1045353746076549200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:02:34", "content": "what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045353768394428400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:02:40", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045353885780426800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:03:08", "content": "how would i label a right angle triangle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045353977576951800, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:03:29", "content": "smt like that", "attachments": [ { "id": 1045353977514053800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045353977514053703/Screen_Shot_2022-11-24_at_11.03.20_pm.png", "fileName": "Screen_Shot_2022-11-24_at_11.03.20_pm.png", "fileSizeBytes": 37169 } ], "mentions": [], "reference": null }, { "id": 1045354015917097000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:03:39", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045354078529663000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:03:54", "content": "2/(2+x) = 1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045354111555600400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:04:01", "content": "you can find x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045354135698030700, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:04:07", "content": "ik how to find it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045354155730010100, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:04:12", "content": "but how would i label it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045354440393240600, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:05:20", "content": "BE and CD is parallel line then use this formol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045355126321332400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:08:03", "content": "are you read this formol in your school", "attachments": [], "mentions": [], "reference": null }, { "id": 1045355182772461600, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:08:17", "content": "kind of", "attachments": [], "mentions": [], "reference": null }, { "id": 1045355293770531000, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:08:43", "content": "my teacher just showed the formula and never explained how it worked", "attachments": [], "mentions": [], "reference": null }, { "id": 1045355722122203300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:10:25", "content": "ok, if i remember can proof of the case", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356006890287100, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:11:33", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356027849211900, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:11:38", "content": "sorry i dont understand", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356445236985900, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:13:18", "content": "", "attachments": [ { "id": 1045356445060845600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045356445060845628/20221124_184216093.jpg", "fileName": "20221124_184216093.jpg", "fileSizeBytes": 1154850 } ], "mentions": [], "reference": null }, { "id": 1045356498018127900, "author_id": 733585715673432200, "author_name": "Deol", "timestamp": "11/24/2022 10:13:30", "content": "wdym by label?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356511058202800, "author_id": 733585715673432200, "author_name": "Deol", "timestamp": "11/24/2022 10:13:34", "content": "as in mark?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356649503785100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 10:14:07", "content": "it's proof", "attachments": [], "mentions": [], "reference": null }, { "id": 1045356863182610400, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:14:57", "content": "oh ok thanq", "attachments": [], "mentions": [], "reference": null }, { "id": 1045359313004269600, "author_id": 743463220676657300, "author_name": "Vexerr", "timestamp": "11/24/2022 10:24:42", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045359315483107500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:24:42", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045359568970055700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:25:43", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045359860344160400, "author_id": 379490274948284400, "author_name": "Can’t think of a user", "timestamp": "11/24/2022 10:26:52", "content": "How would you solve", "attachments": [], "mentions": [], "reference": null }, { "id": 1045359862307102700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:26:53", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045359860344160400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045359934285553700, "author_id": 379490274948284400, "author_name": "Can’t think of a user", "timestamp": "11/24/2022 10:27:10", "content": "x/x-2 +2/x+2 by chance", "attachments": [], "mentions": [], "reference": null }, { "id": 1045360124790837200, "author_id": 750400034394210600, "author_name": "hel(^_^)lo3018", "timestamp": "11/24/2022 10:27:55", "content": "What do you mean by \"chance\"", "attachments": [], "mentions": [], "reference": null }, { "id": 1045360767660200000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:30:28", "content": "You just have an expression", "attachments": [], "mentions": [], "reference": null }, { "id": 1045360790762422400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:30:34", "content": "There ain't nothing to solve", "attachments": [], "mentions": [], "reference": null }, { "id": 1045361167595483100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:32:04", "content": "@Can’t think of a user what's the actual equality", "attachments": [], "mentions": [ { "id": 379490274948284400, "name": "Can’t think of a user", "discriminator": "7108", "nickname": "Can’t think of a user", "isBot": false } ], "reference": null }, { "id": 1045361200847933400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:32:12", "content": "Or do you want it simplified", "attachments": [], "mentions": [], "reference": null }, { "id": 1045361220586324100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:32:16", "content": "Because x/x = 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045361259496886400, "author_id": 750400034394210600, "author_name": "hel(^_^)lo3018", "timestamp": "11/24/2022 10:32:26", "content": "The expression simplified would look like this, there's nothing much to do as it's just an expression and not an equation", "attachments": [ { "id": 1045361259232633000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045361259232632952/rn_image_picker_lib_temp_115ac734-fdfb-42de-a99f-48897688a6c1.jpg", "fileName": "rn_image_picker_lib_temp_115ac734-fdfb-42de-a99f-48897688a6c1.jpg", "fileSizeBytes": 558190 } ], "mentions": [], "reference": null }, { "id": 1045361294280241300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:32:34", "content": "$\\frac{x}{x} - 2 + \\frac{2}{x} + 2$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045361305625825300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 10:32:37", "content": "**Umbraleviathan**", "attachments": [ { "id": 1045361305814577300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045361305814577252/349354952961032192.png", "fileName": "349354952961032192.png", "fileSizeBytes": 5955 } ], "mentions": [], "reference": null }, { "id": 1045361319035011100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 10:32:40", "content": "Idk if this is what you meant lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045363710077718500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:42:10", "content": "@Can’t think of a user Has your question been resolved?", "attachments": [], "mentions": [ { "id": 379490274948284400, "name": "Can’t think of a user", "discriminator": "7108", "nickname": "Can’t think of a user", "isBot": false } ], "reference": null }, { "id": 1045367486901657600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:57:10", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045367740266975200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:58:11", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045368049701765100, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 10:59:25", "content": "Ik this is a dumb question but how do u find the radius of a circle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045368052025413600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 10:59:25", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045368049701765100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045369533180936200, "author_id": 729983808568295400, "author_name": "Shah", "timestamp": "11/24/2022 11:05:18", "content": "as in measue it from a actual circle?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045369558443233300, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:05:24", "content": "Like if they give u one point only lets say 8", "attachments": [], "mentions": [], "reference": null }, { "id": 1045369564113932300, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:05:26", "content": "Nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045369610238709800, "author_id": 729983808568295400, "author_name": "Shah", "timestamp": "11/24/2022 11:05:37", "content": "okay go on", "attachments": [], "mentions": [], "reference": null }, { "id": 1045369959817167000, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:07:00", "content": "A point is given in a circle and the C number is given in the book find radius", "attachments": [], "mentions": [], "reference": null }, { "id": 1045370021033038000, "author_id": 729983808568295400, "author_name": "Shah", "timestamp": "11/24/2022 11:07:15", "content": "circumference?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045370081271619600, "author_id": 729983808568295400, "author_name": "Shah", "timestamp": "11/24/2022 11:07:29", "content": "c=2pier", "attachments": [], "mentions": [], "reference": null }, { "id": 1045370538303967400, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:09:18", "content": "Ok but here's an actual example that I saw in my own worksheet", "attachments": [], "mentions": [], "reference": null }, { "id": 1045370896933728400, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:10:43", "content": "There's a circle with O = 5cm, O is one point and M is one point so OM = 5cm. m stands for midpoint basically and A and B are at a straight line along with M. AB = 12 cm. Find AM and find the length of the radius of the circle too", "attachments": [], "mentions": [], "reference": null }, { "id": 1045371248152162400, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:12:07", "content": "Heyyy", "attachments": [], "mentions": [], "reference": null }, { "id": 1045371438862979100, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:12:53", "content": "Length of radius (I saw the answer) is power root of 61", "attachments": [], "mentions": [], "reference": null }, { "id": 1045371458676858900, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:12:57", "content": "How did they get that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045374834063966300, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:26:22", "content": "feels like a diagram would help immensely because you lost me after introducing AB", "attachments": [], "mentions": [], "reference": null }, { "id": 1045375309635133400, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:28:15", "content": "Yeah yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045375661147177100, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:29:39", "content": "Here's another one where they say find length of radius of circle", "attachments": [ { "id": 1045375660958425200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045375660958425168/Maths_vi.jpg", "fileName": "Maths_vi.jpg", "fileSizeBytes": 47146 } ], "mentions": [], "reference": null }, { "id": 1045375802633637900, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:30:13", "content": "Q10", "attachments": [], "mentions": [], "reference": null }, { "id": 1045376193010073600, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:31:46", "content": "@IV", "attachments": [], "mentions": [ { "id": 654879167376261100, "name": "IV", "discriminator": "9809", "nickname": "IV", "isBot": false } ], "reference": null }, { "id": 1045376738680647800, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:33:56", "content": "huh, quick napkin math doesn't get me root 61 anywhere", "attachments": [], "mentions": [], "reference": null }, { "id": 1045376850576285800, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:34:23", "content": "It's not this question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045376867961671800, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:34:27", "content": "This is a diff question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045376888845115400, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:34:32", "content": "but if you just do the question in order it's straightforward-ish", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377056957022300, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:35:12", "content": "How do i find length of radius of circle in q10", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377109306118300, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:35:25", "content": "did you do part i", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377345365758100, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:36:21", "content": "Well I checked the answers and its 90 but i don't see a right angel", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377366177878000, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:36:26", "content": "for part i", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377804981776500, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:38:10", "content": "the angle formed between a line tangent to a circle and radius of the circle incident on the same point the line is tangent to is a right angle\n\ni think it's straight up a theorem somewhere but i can't remember a proof", "attachments": [], "mentions": [], "reference": null }, { "id": 1045377881519431800, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:38:29", "content": "and then you just do the thing you do with right angle triangles and you can solve for the radius", "attachments": [], "mentions": [], "reference": null }, { "id": 1045378088277651500, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:39:18", "content": "Ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045378118497620000, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:39:25", "content": "but what is the thing ahah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045378266816594000, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:40:00", "content": "see right angle triangle use pythagoras theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045378708443234300, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:41:46", "content": "which is", "attachments": [], "mentions": [], "reference": null }, { "id": 1045378787019337700, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:42:05", "content": "and the answer is weird i checked and it involves power roots", "attachments": [], "mentions": [], "reference": null }, { "id": 1045380128882040800, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/24/2022 11:47:24", "content": "https://brilliant.org/wiki/pythagorean-theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045382562761150500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 11:57:05", "content": "@Cael 🇹🇷 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 703442032147824800, "name": "Cael 🇹🇷", "discriminator": "1933", "nickname": "Cael 🇹🇷", "isBot": false } ], "reference": null }, { "id": 1045383092539506800, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/24/2022 11:59:11", "content": "Yeah yeah but since the answer to i is in degrees how does that relate to ii @IV", "attachments": [], "mentions": [ { "id": 654879167376261100, "name": "IV", "discriminator": "9809", "nickname": "IV", "isBot": false } ], "reference": null }, { "id": 1045386339639627800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 12:12:05", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045394750792028300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 12:45:31", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045396109025091600, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 12:50:54", "content": "I have the differential equation y' = x - y^2 that I need to solve. I've tried assuming a series solution but the y^2 term makes it a bit difficult. I'm just unsure about the method I should use to approach it. Thank you.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045396111898193900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 12:50:55", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045396109025091600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045396592397656200, "author_id": 521464336284254200, "author_name": "Gamer Dio", "timestamp": "11/24/2022 12:52:50", "content": "What have you tried", "attachments": [], "mentions": [], "reference": null }, { "id": 1045396730956488700, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 12:53:23", "content": "assuming a solution of the form y(x) = sum n=0 to infinity a_n*x^n", "attachments": [], "mentions": [], "reference": null }, { "id": 1045396994656571500, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 12:54:26", "content": "i was thinking that maybe it could be solved in terms of the airy's functions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045397513408098400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 12:56:29", "content": "it's uncompleted differential", "attachments": [], "mentions": [], "reference": null }, { "id": 1045398427720241300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 13:00:07", "content": "dy/dx = x-y^2\ndy = dx(x-y^2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045398735510843400, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 13:01:21", "content": "but it isn't separable i thought", "attachments": [], "mentions": [], "reference": null }, { "id": 1045398901265539100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 13:02:00", "content": "ok , you should use uncompleted formola", "attachments": [], "mentions": [], "reference": null }, { "id": 1045399231193681900, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 13:03:19", "content": "what would that be", "attachments": [], "mentions": [], "reference": null }, { "id": 1045399328212136100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 13:03:42", "content": "please minet", "attachments": [], "mentions": [], "reference": null }, { "id": 1045400784206037000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 13:09:29", "content": "", "attachments": [ { "id": 1045400784126349400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045400784126349474/image.png", "fileName": "image.png", "fileSizeBytes": 285674 } ], "mentions": [], "reference": null }, { "id": 1045400992478408800, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/24/2022 13:10:19", "content": "ok?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045403007350735000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 13:18:19", "content": "@razorsharptip Has your question been resolved?", "attachments": [], "mentions": [ { "id": 349594546671452160, "name": "razorsharptip", "discriminator": "1124", "nickname": "razorsharptip", "isBot": false } ], "reference": null }, { "id": 1045404770434830300, "author_id": 349594546671452160, "author_name": "razorsharptip", "timestamp": "11/24/2022 13:25:19", "content": "i dont believe it would be since in dy = (x- y^2)dx, the left hand side would also be 0 regardless if you took d/dx or d/dy and the right hand side wont be", "attachments": [], "mentions": [], "reference": null }, { "id": 1045406784078217300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 13:33:20", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045414609760309200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 14:04:25", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045417189013999600, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:14:40", "content": "what is differential of g (x)=F(x^2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045417191195029600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 14:14:41", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045417189013999600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045418290874433500, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:19:03", "content": "F as in anti derivative of g?", "attachments": [], "mentions": [ { "id": 319854794359701500, "name": "SurvivalMonster", "discriminator": "8251", "nickname": "SurvivalMonster", "isBot": false } ], "reference": null }, { "id": 1045418353914826800, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:19:18", "content": "Wouldn't it be G then :S", "attachments": [], "mentions": [], "reference": null }, { "id": 1045418419819913300, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:19:34", "content": "no it is not", "attachments": [], "mentions": [], "reference": null }, { "id": 1045418547758764000, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:20:04", "content": "@NotZaj can you tell me how can i do derivative of this function", "attachments": [], "mentions": [ { "id": 124871269169627140, "name": "NotZaj", "discriminator": "0001", "nickname": "NotZaj", "isBot": false } ], "reference": null }, { "id": 1045419125754835000, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:22:22", "content": "Well the derivative of F(x^2) would be 2xF(x), so F(x)x^2+2xF(x)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045419633609543700, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:24:23", "content": "But F(x) is an anti derivative function of f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045419933212889200, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:25:35", "content": "what is anti derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420043393048800, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:26:01", "content": "Its like", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420048333934700, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:26:02", "content": "this is not integral question by the way", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420085516443800, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:26:11", "content": "The base functions value as a constant", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420252743356500, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:26:51", "content": "ok thank you", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420275115753600, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:26:56", "content": "When you use uppercase letter as function it usually means it's anti derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420463792341000, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:27:41", "content": "no its f(x) sorry", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420485195857900, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:27:46", "content": "Oh XD", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420646273908700, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:28:25", "content": "So it is f(x)x^2+2xf(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045420937081782400, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:29:34", "content": "But is why I was confused, because if you say F(x) it would just be f(x) but can't be differentiated", "attachments": [], "mentions": [], "reference": null }, { "id": 1045421008313663500, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:29:51", "content": "", "attachments": [ { "id": 1045421007692894300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045421007692894358/sorubu.png", "fileName": "sorubu.png", "fileSizeBytes": 17152 } ], "mentions": [], "reference": null }, { "id": 1045421089892876400, "author_id": 319854794359701500, "author_name": "SurvivalMonster", "timestamp": "11/24/2022 14:30:10", "content": "question is this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045423165276442800, "author_id": 124871269169627140, "author_name": "NotZaj", "timestamp": "11/24/2022 14:38:25", "content": "I've never worked with these kinds of questions sorry", "attachments": [], "mentions": [ { "id": 319854794359701500, "name": "SurvivalMonster", "discriminator": "8251", "nickname": "SurvivalMonster", "isBot": false } ], "reference": null }, { "id": 1045424866091880600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 14:45:11", "content": "@SurvivalMonster Has your question been resolved?", "attachments": [], "mentions": [ { "id": 319854794359701500, "name": "SurvivalMonster", "discriminator": "8251", "nickname": "SurvivalMonster", "isBot": false } ], "reference": null }, { "id": 1045428643368808600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:00:11", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033746771463110800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:20:36", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033746888970731600, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:21:04", "content": "This is my answer, idk what to do to get the same ans as the answer key", "attachments": [ { "id": 1033746888786202600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033746888786202655/IMG_0015.jpg", "fileName": "IMG_0015.jpg", "fileSizeBytes": 190639 } ], "mentions": [], "reference": null }, { "id": 1033746892154228900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:21:05", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033746888970731600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033746943387639900, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:21:17", "content": "This is the answers", "attachments": [ { "id": 1033746943203094700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033746943203094618/IMG_0016.jpg", "fileName": "IMG_0016.jpg", "fileSizeBytes": 99469 } ], "mentions": [], "reference": null }, { "id": 1033747281196875900, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:22:37", "content": "you did it much more copmlicated way", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747333835403300, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:22:50", "content": "integral of f'(x)/f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747343566184400, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:22:52", "content": "is ln f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747379087753200, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "10/23/2022 10:23:01", "content": ",w simplify (x^2 +9)(x-3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747391691620500, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 10:23:04", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747396204699600, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:23:05", "content": "and then they just split it using log laws", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747510319132700, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "10/23/2022 10:23:32", "content": "youre off by a factor of 3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747523476672500, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "10/23/2022 10:23:35", "content": "and + c", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747538567757800, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:23:39", "content": "oh", "attachments": [], "mentions": [ { "id": 806240719089303600, "name": "bo luo", "discriminator": "6471", "nickname": "bo luo", "isBot": false } ], "reference": null }, { "id": 1033747539717005300, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "10/23/2022 10:23:39", "content": "but otherwise good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747742524178600, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "10/23/2022 10:24:27", "content": "Factor a third from the thing inside your log", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747773851435000, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "10/23/2022 10:24:35", "content": "Then add a plus c and you’re good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033747970933411800, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:25:22", "content": "alright, but if i wanted to do it the way intended by the answer, how exactly would i do that", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748094413709400, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "10/23/2022 10:25:51", "content": "u would factor the numerator and leave the denominator be", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748117419475000, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:25:57", "content": "well your way is fine, you basically just showed that itnegral of f'(x)/f(x) is ln x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748135207510000, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 10:26:01", "content": "instead of just using that", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748135446597800, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "10/23/2022 10:26:01", "content": "and then u can cancel out some common factors", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748236596433000, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:26:25", "content": "alright makes sense", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748243055640700, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:26:27", "content": "tysm guys <3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748263347699700, "author_id": 386737350387957760, "author_name": "imagine", "timestamp": "10/23/2022 10:26:32", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033748266355015800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:26:32", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045428894972530800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:01:11", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045429479364907000, "author_id": 1020422400652869600, "author_name": "HUHss", "timestamp": "11/24/2022 15:03:31", "content": "looking for a teacher in calculus and discrete maths lmk", "attachments": [], "mentions": [], "reference": null }, { "id": 1045429481902440400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:03:31", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045429479364907000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045432325548290000, "author_id": 485903210272391200, "author_name": "dldh06", "timestamp": "11/24/2022 15:14:49", "content": "Most of the people here aren't teachers or tutors. We're students just wanting to help out people", "attachments": [], "mentions": [ { "id": 1020422400652869600, "name": "HUHss", "discriminator": "4119", "nickname": "HUHss", "isBot": false } ], "reference": null }, { "id": 1045433584850313300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:19:49", "content": "@HUHss Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1020422400652869600, "name": "HUHss", "discriminator": "4119", "nickname": "HUHss", "isBot": false } ], "reference": null }, { "id": 1045437363641385000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:34:50", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045437615291240600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:35:50", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045438643730387000, "author_id": 1032668527812943900, "author_name": "M.A", "timestamp": "11/24/2022 15:39:55", "content": "hello I need help with these complex questions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045438645747863800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:39:56", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045438643730387000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045439510021935100, "author_id": 1032668527812943900, "author_name": "M.A", "timestamp": "11/24/2022 15:43:22", "content": "", "attachments": [ { "id": 1045439509694783600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045439509694783598/Screen_Shot_2022-11-24_at_3.40.22_PM.png", "fileName": "Screen_Shot_2022-11-24_at_3.40.22_PM.png", "fileSizeBytes": 155477 } ], "mentions": [], "reference": null }, { "id": 1045443286044786700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 15:58:22", "content": "@M.A Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1032668527812943900, "name": "M.A", "discriminator": "2872", "nickname": "M.A", "isBot": false } ], "reference": null }, { "id": 1045450966276776100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 16:28:53", "content": "@M.A Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1032668527812943900, "name": "M.A", "discriminator": "2872", "nickname": "M.A", "isBot": false } ], "reference": null }, { "id": 1045458518054031400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 16:58:54", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045458770739876000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 16:59:54", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045459211020161000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:01:39", "content": "", "attachments": [ { "id": 1045459210546188300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045459210546188308/D7C8BA92-031D-4A1F-BCEF-B2C2A1659724.jpg", "fileName": "D7C8BA92-031D-4A1F-BCEF-B2C2A1659724.jpg", "fileSizeBytes": 4617683 } ], "mentions": [], "reference": null }, { "id": 1045459214564339700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 17:01:40", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045459211020161000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045459222118285400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:01:42", "content": "need some help with question F", "attachments": [], "mentions": [], "reference": null }, { "id": 1045459340536074400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:02:10", "content": "I got to 1(du)/(u-1)u", "attachments": [], "mentions": [], "reference": null }, { "id": 1045459811388641300, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:04:02", "content": "Nice, now you should rewrite the fraction $\\frac1{u(u-1)}$ in simpler terms that you know how to integrate", "attachments": [], "mentions": [], "reference": null }, { "id": 1045459822633570300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 17:04:05", "content": "**burbaaki**", "attachments": [ { "id": 1045459822688088000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045459822688088094/573520447224938496.png", "fileName": "573520447224938496.png", "fileSizeBytes": 31786 } ], "mentions": [], "reference": null }, { "id": 1045460085553508400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:05:08", "content": "how do I do that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045460204134871000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:05:36", "content": "1/(u² - u)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045460211143540900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:05:38", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045460286691356700, "author_id": 318024849333288960, "author_name": "Mortta", "timestamp": "11/24/2022 17:05:56", "content": "i wouldnt do that", "attachments": [], "mentions": [ { "id": 582935438260699100, "name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "discriminator": "9609", "nickname": "𝙨𝙖𝙙 𝙗𝙤𝙞", "isBot": false } ], "reference": null }, { "id": 1045460385832120400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:06:19", "content": "would that be LN (u²-u)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045460627298197600, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:07:17", "content": "No, but you are close. Try differentiating this function to see that it's not the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045460920110960600, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:08:27", "content": "But your idea is good. You know that you can integrate simple fractions like 1/u and 1/(u-1) and get the Ln(u) and Ln(u-1)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461051153600500, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:08:58", "content": "how do we split them up?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461426774491100, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:10:27", "content": "Well, if you don't know how to split, you always can say $\\frac1{u(u-1)} = A\\frac1{u} +B\\frac1{u-1}$ and solve it for A and b", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461437935517800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 17:10:30", "content": "**burbaaki**", "attachments": [ { "id": 1045461438099108000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045461438099107911/573520447224938496.png", "fileName": "573520447224938496.png", "fileSizeBytes": 34056 } ], "mentions": [], "reference": null }, { "id": 1045461557338984600, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:10:59", "content": "ohhhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461561038348400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:10:59", "content": "Wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461597709148300, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:11:08", "content": "Like write the right side of the equation over the common denominator and find A and B", "attachments": [], "mentions": [], "reference": null }, { "id": 1045461604151591000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:11:10", "content": "Is it cause the the bottom is a higher degree of power?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462008692215800, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:12:46", "content": "It is related in a way, yeah. There's a result that you can always rewrite rational expression of the form P(u)/Q(u) where P and Q are polynomials in a nice way so that you can integrate them", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462081891225600, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:13:04", "content": "is it impossible if you tried like this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462115961553000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:13:12", "content": "cause In an exam I would’ve tried that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462277647777900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:13:50", "content": "I split it up into a = 1 and b=-1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462352230887600, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:14:08", "content": "1/u-1 - 1/u", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462489019715600, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:14:41", "content": "I guess you meant A=-1 and B=1. But yeah, you got it right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462553016422500, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:14:56", "content": "my bad sorry", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462577536311300, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:15:02", "content": "what’s the next step after this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462645882507300, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:15:18", "content": "We have ln (u-1) - ln(u) right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462763776000000, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:15:46", "content": "Yeah, now you should apply the correct limits of the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462816557105200, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:15:59", "content": "You should remember that when you did your substitution", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462855799029900, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:16:08", "content": "The limits of the integral changed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045462890464940000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:16:16", "content": "I plug in u= 1+e^x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463138683846700, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:17:16", "content": "No, after the integration you don't plug in the functions themselves", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463207378165900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:17:32", "content": "The limits changed?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463215116660900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:17:34", "content": "how", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463444175995000, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:18:28", "content": "Well, if x changed from 0 to ln(2), how would change the function u=1+e^x?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463611377713200, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:19:08", "content": "i am confused", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463657162752000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:19:19", "content": "I think I might have missed something during the lesson 😭", "attachments": [], "mentions": [], "reference": null }, { "id": 1045463890311512000, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:20:15", "content": "Dw, you got it. Are you confused how to calculate new limits and why they've changed?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464014026711200, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:20:44", "content": "okay i watched a Quick 1 minute video", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464062517067800, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:20:56", "content": "I understand now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464089805205500, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:21:02", "content": "Nice", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464141130899500, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:21:15", "content": "Well I know how to do it but i don’t understand the concept behind it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464161007714300, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:21:19", "content": "new lims are 3 and 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464189197615200, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:21:26", "content": "Yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464334375075800, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:22:01", "content": "wait I have a question but it may sound a bit dumb", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464358790107300, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:22:06", "content": "do we plug u back in", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464422895861900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:22:22", "content": "like as 1 + e^x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464465040228400, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:22:32", "content": "Or does it just intergrate with u instead", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464518286921900, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:22:44", "content": "The latter with new limits", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464825104433200, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:23:58", "content": "okay so i got ln(2) - ln(3) -ln(1) + Ln(2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045464853160149000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:24:04", "content": "I think that’s the final form", "attachments": [], "mentions": [], "reference": null }, { "id": 1045465089148461200, "author_id": 573520447224938500, "author_name": "burbaaki", "timestamp": "11/24/2022 17:25:01", "content": "Sorta, just need to remember ln(1)=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045465227459829900, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:25:34", "content": "2Ln(2) -ln(3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045465244060893200, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:25:37", "content": "Could it write it as that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045465313585660000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:25:54", "content": "since there’s 2 ln (2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045466708233687000, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:31:27", "content": "Thank you so much @burbaaki", "attachments": [], "mentions": [ { "id": 573520447224938500, "name": "burbaaki", "discriminator": "7171", "nickname": "burbaaki", "isBot": false } ], "reference": null }, { "id": 1045466716022513700, "author_id": 582935438260699100, "author_name": "𝙨𝙖𝙙 𝙗𝙤𝙞", "timestamp": "11/24/2022 17:31:28", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045466720275546100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 17:31:29", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045485646459973800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 18:46:42", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045485986601242600, "author_id": 338765488509419500, "author_name": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "timestamp": "11/24/2022 18:48:03", "content": "Hello How can I get an formula for this question ??", "attachments": [ { "id": 1045485986337018000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045485986337017947/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 532594 } ], "mentions": [], "reference": null }, { "id": 1045485988849401900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 18:48:03", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045485986601242600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045486218097459200, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:48:58", "content": "hey kaguya", "attachments": [], "mentions": [ { "id": 338765488509419500, "name": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "discriminator": "1130", "nickname": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "isBot": false } ], "reference": null }, { "id": 1045486285520900100, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:49:14", "content": "first order linear recurrence relations have exponential solutions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045486621165883400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 18:50:34", "content": "", "attachments": [ { "id": 1045486621228814300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045486621228814376/831591156919173141.png", "fileName": "831591156919173141.png", "fileSizeBytes": 47177 } ], "mentions": [], "reference": null }, { "id": 1045486827781488800, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:51:23", "content": "this one is nonhomogeneous so you need to solve the homogeneous case first then find whats called the particular solution", "attachments": [], "mentions": [], "reference": null }, { "id": 1045486864431325200, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:51:32", "content": "the homogeneous case is when we disregard the +3 and solve for r", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045487116961988700, "author_id": 338765488509419500, "author_name": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "timestamp": "11/24/2022 18:52:32", "content": "Thx @bendy \nDo you know any video that explain this ?", "attachments": [], "mentions": [ { "id": 831591156919173100, "name": "bendy", "discriminator": "7330", "nickname": "Leskinen", "isBot": false } ], "reference": null }, { "id": 1045487167117476000, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:52:44", "content": "uh lemme find", "attachments": [], "mentions": [], "reference": null }, { "id": 1045487268648988700, "author_id": 831591156919173100, "author_name": "bendy", "timestamp": "11/24/2022 18:53:09", "content": "https://www.youtube.com/watch?v=EfF_XSEX1Sk", "attachments": [], "mentions": [], "reference": null }, { "id": 1045487396529131600, "author_id": 338765488509419500, "author_name": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "timestamp": "11/24/2022 18:53:39", "content": "Thank you so much \nur a live safer", "attachments": [], "mentions": [], "reference": null }, { "id": 1045487541459099800, "author_id": 338765488509419500, "author_name": "⭒☾⭒ ℳ𝒾𝓂𝒾 ⭒☽⭒", "timestamp": "11/24/2022 18:54:14", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045487544265093200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 18:54:14", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045488512608256100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 18:58:05", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045490167705776100, "author_id": 876830320773697700, "author_name": "98 Church Mice", "timestamp": "11/24/2022 19:04:40", "content": "hi can i please get help on question A", "attachments": [ { "id": 1045490167412183000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045490167412183060/image.png", "fileName": "image.png", "fileSizeBytes": 47553 } ], "mentions": [], "reference": null }, { "id": 1045490170528530600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 19:04:40", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045490167705776100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045490235049525200, "author_id": 876830320773697700, "author_name": "98 Church Mice", "timestamp": "11/24/2022 19:04:56", "content": "im confused on how to do this since im not given any initial conditions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045494010837487600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 19:19:56", "content": "@98 Church Mice Has your question been resolved?", "attachments": [], "mentions": [ { "id": 876830320773697700, "name": "98 Church Mice", "discriminator": "5280", "nickname": "98 Church Mice", "isBot": false } ], "reference": null }, { "id": 1045501454049345500, "author_id": 876830320773697700, "author_name": "98 Church Mice", "timestamp": "11/24/2022 19:49:31", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045501457308336100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 19:49:31", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045501709184680000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 19:50:31", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045507203366391800, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:12:21", "content": "find the derivative of the function using the definition of the derivative. state the domain of the function and the domain of its derivative.", "attachments": [ { "id": 1045507203026669600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045507203026669598/image.png", "fileName": "image.png", "fileSizeBytes": 1943 } ], "mentions": [], "reference": null }, { "id": 1045507205677469700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:12:22", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045507203366391800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045507306768564200, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:12:46", "content": "so G(t) = f(x+h)-f(x)/h", "attachments": [], "mentions": [], "reference": null }, { "id": 1045507353803493500, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:12:57", "content": "i'm not sure if this is the definition to use. i think there's another", "attachments": [], "mentions": [], "reference": null }, { "id": 1045507524041908200, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:13:38", "content": "but i end up with -2(t-h)-(1-2t)/h", "attachments": [], "mentions": [], "reference": null }, { "id": 1045507568350539800, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:13:48", "content": "i'm just unsure of what to do with the bottom", "attachments": [], "mentions": [], "reference": null }, { "id": 1045509178640322600, "author_id": 182179228840755200, "author_name": "iCaird", "timestamp": "11/24/2022 20:20:12", "content": "You should be calculating $\\lim_{h \\to 0} \\frac{G(t+h)-G(t)}{h}$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045509189524521000, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 20:20:15", "content": "**ΣAC**", "attachments": [ { "id": 1045509189683912800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045509189683912774/182179228840755200.png", "fileName": "182179228840755200.png", "fileSizeBytes": 17999 } ], "mentions": [], "reference": null }, { "id": 1045511346197889000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:28:49", "content": "@minus Has your question been resolved?", "attachments": [], "mentions": [ { "id": 196473285750292480, "name": "minus", "discriminator": "7015", "nickname": "minus", "isBot": false } ], "reference": null }, { "id": 1045511792329232400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:30:35", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045511854107136100, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/24/2022 20:30:50", "content": "hey, thanks fore your respononse. was in the shower.", "attachments": [], "mentions": [ { "id": 182179228840755200, "name": "iCaird", "discriminator": "6258", "nickname": "ΣAC", "isBot": false } ], "reference": null }, { "id": 1045512044276879400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:31:36", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045515374059335800, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:44:49", "content": "", "attachments": [ { "id": 1045515373459558400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045515373459558430/IMG_4585.jpg", "fileName": "IMG_4585.jpg", "fileSizeBytes": 4026743 } ], "mentions": [], "reference": null }, { "id": 1045515378383659000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:44:50", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045515374059335800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045515505752088600, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:45:21", "content": "stuck on this one need to solve for m<2 m<4 and m<5", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516040538443800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/24/2022 20:47:28", "content": "wot", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516182880518300, "author_id": 1039259365275869300, "author_name": "claire.heymans", "timestamp": "11/24/2022 20:48:02", "content": "1, 3, and 6 are all the same\n2 is 90-m<1\n4 is the intersection of two parallel lines\n5 is 180-m<6", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516221501685900, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:48:11", "content": "m4 is gonna be the easiest", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516294973300900, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:48:29", "content": "I need to solve for m<2 m<4 and m<5", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516303101857800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:48:31", "content": "Line L is perpendicular to line M, but Line M is parallel to Line N", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516338115915900, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:48:39", "content": "So what would m4 be", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516446563844100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:49:05", "content": "m4 is free if you understand perpendicularity", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516537018196000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:49:27", "content": "m2 is found using vertical angle properties", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516597609107500, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:49:41", "content": "m5 is gonna be a result of the exterior angle theorem", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516755235246100, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:50:19", "content": "1= 52\n2= 38 \n3= 52 \n4= 90 \n5= 128\n6= 52", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516829914828900, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:50:37", "content": "Ya it's true?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516905584263200, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:50:55", "content": "Are these answers?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045516943433674800, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:51:04", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045517081375952900, "author_id": 1039259365275869300, "author_name": "claire.heymans", "timestamp": "11/24/2022 20:51:36", "content": "You should probably check (and understand) the answers before submitting your assignment...", "attachments": [], "mentions": [], "reference": null }, { "id": 1045517208064901100, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:52:07", "content": "yeah idk if I trust that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045517262544720000, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:52:20", "content": "Ya it's only bsed on line angle properties", "attachments": [], "mentions": [ { "id": 1039259365275869300, "name": "claire.heymans", "discriminator": "5335", "nickname": "claire.heymans", "isBot": false } ], "reference": null }, { "id": 1045517346015543300, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:52:40", "content": "If u want to ask that ask me", "attachments": [], "mentions": [ { "id": 985207617104273400, "name": "RR", "discriminator": "4879", "nickname": "RR", "isBot": false } ], "reference": null }, { "id": 1045517431315112000, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:53:00", "content": "how’d you solve 2 4 and 5", "attachments": [], "mentions": [ { "id": 1024209186164310000, "name": "Ryan♡", "discriminator": "8178", "nickname": "Ryan♡", "isBot": false } ], "reference": null }, { "id": 1045517433517125600, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:53:00", "content": "Don't give out answers", "attachments": [], "mentions": [ { "id": 1024209186164310000, "name": "Ryan♡", "discriminator": "8178", "nickname": "Ryan♡", "isBot": false } ], "reference": null }, { "id": 1045517536353075300, "author_id": 1039259365275869300, "author_name": "claire.heymans", "timestamp": "11/24/2022 20:53:25", "content": "2 is 90-m<1\n4 is the intersection of two parallel lines\n5 is 180-m<6", "attachments": [], "mentions": [ { "id": 985207617104273400, "name": "RR", "discriminator": "4879", "nickname": "RR", "isBot": false } ], "reference": null }, { "id": 1045517633262469100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:53:48", "content": "Well", "attachments": [], "mentions": [], "reference": null }, { "id": 1045517645920878700, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:53:51", "content": "", "attachments": [ { "id": 1045517645895716900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045517645895716884/rn_image_picker_lib_temp_0aa64479-a5e7-434b-9294-789d6d23ce53.jpg", "fileName": "rn_image_picker_lib_temp_0aa64479-a5e7-434b-9294-789d6d23ce53.jpg", "fileSizeBytes": 656831 } ], "mentions": [], "reference": null }, { "id": 1045517691630391300, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:54:02", "content": "2 is equal to 38 becz vertex opposite angle is equal", "attachments": [], "mentions": [ { "id": 985207617104273400, "name": "RR", "discriminator": "4879", "nickname": "RR", "isBot": false } ], "reference": null }, { "id": 1045517696290263000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 20:54:03", "content": "m5 = m4 + m2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045517724023001100, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:54:10", "content": "Damn", "attachments": [], "mentions": [ { "id": 1024209186164310000, "name": "Ryan♡", "discriminator": "8178", "nickname": "Ryan♡", "isBot": false } ], "reference": null }, { "id": 1045517879493263400, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:54:47", "content": "4 is 90 becz the line insect perpendicular", "attachments": [], "mentions": [ { "id": 985207617104273400, "name": "RR", "discriminator": "4879", "nickname": "RR", "isBot": false } ], "reference": null }, { "id": 1045518203067052000, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:56:04", "content": "U can find 5 from sum of interior adcent angle of triangle", "attachments": [], "mentions": [ { "id": 985207617104273400, "name": "RR", "discriminator": "4879", "nickname": "RR", "isBot": false } ], "reference": null }, { "id": 1045518265088229400, "author_id": 1024209186164310000, "author_name": "Ryan♡", "timestamp": "11/24/2022 20:56:19", "content": "Did u get it?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045518424740208600, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:56:57", "content": "yes thank you", "attachments": [], "mentions": [], "reference": null }, { "id": 1045518503815417900, "author_id": 985207617104273400, "author_name": "RR", "timestamp": "11/24/2022 20:57:16", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045518506478796800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:57:16", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045518758128668700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 20:58:16", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045521141931983000, "author_id": 762386555460517900, "author_name": "majo", "timestamp": "11/24/2022 21:07:45", "content": "im trying to figure out how to find the chi square value of the given data", "attachments": [ { "id": 1045521141638369300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045521141638369310/Captura_de_Pantalla_2022-11-24_a_las_9.07.09_p._m..png", "fileName": "Captura_de_Pantalla_2022-11-24_a_las_9.07.09_p._m..png", "fileSizeBytes": 183789 } ], "mentions": [], "reference": null }, { "id": 1045521144402419700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 21:07:45", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045521141931983000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045521178573426800, "author_id": 762386555460517900, "author_name": "majo", "timestamp": "11/24/2022 21:07:53", "content": "can anyone help me out", "attachments": [], "mentions": [], "reference": null }, { "id": 1045521400745689200, "author_id": 762386555460517900, "author_name": "majo", "timestamp": "11/24/2022 21:08:46", "content": "i know i could use the chi square formula but i would need an expected value for that, which idk how to get", "attachments": [], "mentions": [], "reference": null }, { "id": 1045524834945347600, "author_id": 762386555460517900, "author_name": "majo", "timestamp": "11/24/2022 21:22:25", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045528610808803300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 21:37:25", "content": "@majo Has your question been resolved?", "attachments": [], "mentions": [ { "id": 762386555460517900, "name": "majo", "discriminator": "3417", "nickname": "majo", "isBot": false } ], "reference": null }, { "id": 1045532387670491300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 21:52:26", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045544586451357800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:40:54", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045544804831993900, "author_id": 1040088045757681700, "author_name": "mohesbsea", "timestamp": "11/24/2022 22:41:46", "content": "hello everyone", "attachments": [], "mentions": [], "reference": null }, { "id": 1045544807835127800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:41:47", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045544804831993900, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045544812205588500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:41:48", "content": null, "attachments": [], "mentions": [], "reference": null }, { "id": 1045548580934516900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:56:47", "content": "@mohesbsea Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1040088045757681700, "name": "mohesbsea", "discriminator": "6140", "nickname": "mohesbsea", "isBot": false } ], "reference": null }, { "id": 1045548653722488800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:57:04", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045548677600649200, "author_id": 1040088045757681700, "author_name": "mohesbsea", "timestamp": "11/24/2022 22:57:10", "content": ".reopen", "attachments": [], "mentions": [], "reference": null }, { "id": 1045548683808231400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 22:57:11", "content": "✅", "attachments": [], "mentions": [], "reference": null }, { "id": 1045550705731182600, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:05:13", "content": "You don't need this channel you have another one open", "attachments": [], "mentions": [], "reference": null }, { "id": 1045550717982757000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:05:16", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045550722281914500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:05:17", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033751068074577900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:37:40", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033751891601019000, "author_id": 633025819324973000, "author_name": "Untitled1011010", "timestamp": "10/23/2022 10:40:57", "content": "@Toby you were right, it wasn’t very clear does this make more sense now.", "attachments": [ { "id": 1033751890942501000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033751890942500954/B2124392-8216-49BF-AC39-F27447A2967C.jpg", "fileName": "B2124392-8216-49BF-AC39-F27447A2967C.jpg", "fileSizeBytes": 217560 }, { "id": 1033751891252875300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033751891252875294/IMG_0667.png", "fileName": "IMG_0667.png", "fileSizeBytes": 1106192 } ], "mentions": [ { "id": 764959481070616600, "name": "Toby", "discriminator": "2275", "nickname": "Toby", "isBot": false } ], "reference": null }, { "id": 1033751895816294400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:40:58", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033751891601019000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033755668886335600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 10:55:57", "content": "@Untitled1011010 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 633025819324973000, "name": "Untitled1011010", "discriminator": "3587", "nickname": "Untitled1011010", "isBot": false } ], "reference": null }, { "id": 1033759445618000000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 11:10:58", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045551202957533200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:07:12", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045552844683608000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:13:43", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045552842653565000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045553132928778400, "author_id": 722683408190406700, "author_name": "waterr beam", "timestamp": "11/24/2022 23:14:52", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045553136007393300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:14:53", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045553137630589000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:14:53", "content": "You can't assume that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045555369876914300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:23:45", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045556973103493100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:30:07", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045556970821787600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045557123993579600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:30:43", "content": "is there any more context to the question? 🙂", "attachments": [], "mentions": [], "reference": null }, { "id": 1045557670100353000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:32:54", "content": "umm not sure what that means 😕", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558271169273900, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:35:17", "content": "but", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558288193966100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:35:21", "content": "wat is the question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558316891390000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:35:28", "content": "can you post it exactly as it was given?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558667841380400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:36:51", "content": "are you serious right now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558878361890800, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:37:42", "content": "it's 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045558951476998300, "author_id": 496104403984449540, "author_name": "Ninja8flash", "timestamp": "11/24/2022 23:37:59", "content": "Although it's sorta hard to get there", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559031999250400, "author_id": 496104403984449540, "author_name": "Ninja8flash", "timestamp": "11/24/2022 23:38:18", "content": "With just calc one stuff", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559115402969100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:38:38", "content": "Use your erf(x) identity", "attachments": [], "mentions": [ { "id": 765637906400280600, "name": "Dev_dom", "discriminator": "6996", "nickname": "Dev_dom", "isBot": false } ], "reference": null }, { "id": 1045559427538882600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/24/2022 23:39:53", "content": "I have a feeling you're trolling right now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559468945064000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:40:02", "content": "$$\\int e^{x^{-2}} dx = \\frac{\\sqrt{\\pi}}{2}\\erf(x) + C$$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559581331427300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/24/2022 23:40:29", "content": "**Umbraleviathan**", "attachments": [ { "id": 1045559581381754900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045559581381754910/349354952961032192.png", "fileName": "349354952961032192.png", "fileSizeBytes": 12446 } ], "mentions": [], "reference": null }, { "id": 1045559603292799000, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:40:34", "content": "Congratulations", "attachments": [], "mentions": [ { "id": 765637906400280600, "name": "Dev_dom", "discriminator": "6996", "nickname": "Dev_dom", "isBot": false } ], "reference": null }, { "id": 1045559613304623100, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:40:37", "content": "It's 1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559617503117400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:40:38", "content": "Wdym standard deviation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559635400200200, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:40:42", "content": "nvm its 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559643734294700, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:40:44", "content": "Bro what are you even saying", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559694191767600, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:40:56", "content": "my bad 💀", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559738924023800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:41:07", "content": "Well I mean the standard deviation stuff", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559754572963800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:41:11", "content": "Bro what are you doing", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559843341221900, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:41:32", "content": "This guy's trolling", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559856964317200, "author_id": 594242143867109400, "author_name": "Tronsi", "timestamp": "11/24/2022 23:41:35", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045559886613844000, "author_id": 594242143867109400, "author_name": "Tronsi", "timestamp": "11/24/2022 23:41:42", "content": "my favorite chain law of limits", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560080034189300, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:42:28", "content": "🗿", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560080474587300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:28", "content": "I mean that's a thing but like", "attachments": [], "mentions": [ { "id": 594242143867109400, "name": "Tronsi", "discriminator": "0576", "nickname": "Tronsi", "isBot": false } ], "reference": null }, { "id": 1045560092717752300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:31", "content": "You don't use it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560099810324500, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:33", "content": "For that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560130105774200, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:40", "content": "Not in my experience", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560149059833900, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:42:45", "content": "this is undoubtedly the hardest integral I've ever seen", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560170375282700, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:50", "content": "Im crying", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560192651243500, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:42:55", "content": "I wonder", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045560287408951300, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:43:18", "content": "what happens if there isn't a minus in the exponent", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560352475193300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:43:33", "content": "Minor inconvenience", "attachments": [], "mentions": [ { "id": 718461587236716500, "name": "NEONPerseus", "discriminator": "2128", "nickname": "NEONPerseus", "isBot": false } ], "reference": null }, { "id": 1045560397010309100, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:43:44", "content": "he certainly kept his word", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560692985569300, "author_id": 1023853486783336400, "author_name": "Hoesmad", "timestamp": "11/24/2022 23:44:54", "content": "these speed copies these days", "attachments": [], "mentions": [ { "id": 984319941417251000, "name": "💜𝓁𝒶𝓎𝓁𝒶💜", "discriminator": "4139", "nickname": "💜𝓁𝒶𝓎𝓁𝒶💜", "isBot": false } ], "reference": null }, { "id": 1045560772056588300, "author_id": 1023853486783336400, "author_name": "Hoesmad", "timestamp": "11/24/2022 23:45:13", "content": "https://tenor.com/view/are-you-serious-right-now-bro-gif-26306317", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560912062460000, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:45:47", "content": "where did he go", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560920400724000, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/24/2022 23:45:49", "content": "poofed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560957306413200, "author_id": 594242143867109400, "author_name": "Tronsi", "timestamp": "11/24/2022 23:45:57", "content": "lmao", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560975304171600, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:46:02", "content": "A magician never tells his secrets", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560982136696800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:46:03", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045560984770728100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:46:04", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045561221308494000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/24/2022 23:47:00", "content": "fall guys has taken my emotions to places even the devil avoids", "attachments": [], "mentions": [ { "id": 1023853486783336400, "name": "Hoesmad", "discriminator": "0871", "nickname": "Hoesmad", "isBot": false } ], "reference": null }, { "id": 1045561237431402500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:47:04", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045561964337823700, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/24/2022 23:49:57", "content": "", "attachments": [ { "id": 1045561964115542000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045561964115542026/IMG_20221125_102635.jpg", "fileName": "IMG_20221125_102635.jpg", "fileSizeBytes": 275742 } ], "mentions": [], "reference": null }, { "id": 1045561966745366700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/24/2022 23:49:58", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045561964337823700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045561982142660700, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/24/2022 23:50:02", "content": "Can someone help me find the coordinates please in No.1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045564736894402600, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:00:58", "content": "Solve the quadratic", "attachments": [], "mentions": [], "reference": null }, { "id": 1045564801352466400, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:01:14", "content": "One of its root gives you B", "attachments": [], "mentions": [], "reference": null }, { "id": 1045564938137116700, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:01:46", "content": "And solve the system y = 2x and y = 6x-x^2, the positive solution is point A", "attachments": [], "mentions": [], "reference": null }, { "id": 1045565929335038000, "author_id": 1023853486783336400, "author_name": "Hoesmad", "timestamp": "11/25/2022 00:05:43", "content": "elden ring and god of war", "attachments": [], "mentions": [ { "id": 349354952961032200, "name": "Umbraleviathan", "discriminator": "3607", "nickname": "Umbraleviathan", "isBot": false } ], "reference": null }, { "id": 1045565946946912300, "author_id": 1023853486783336400, "author_name": "Hoesmad", "timestamp": "11/25/2022 00:05:47", "content": "do u play?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045566091562340400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/25/2022 00:06:21", "content": "No", "attachments": [], "mentions": [], "reference": null }, { "id": 1045566725787238400, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/25/2022 00:08:53", "content": "Idk, can you show me?", "attachments": [], "mentions": [ { "id": 718461587236716500, "name": "NEONPerseus", "discriminator": "2128", "nickname": "NEONPerseus", "isBot": false } ], "reference": null }, { "id": 1045566833165606900, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/25/2022 00:09:18", "content": "I can't middle term it as there is 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045567030205620400, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:10:05", "content": "$6x - x^2 = 0 \\implies x(x - 6) = 0 \\implies x_1 = 0, x_2 = 6$", "attachments": [], "mentions": [ { "id": 833981789252223000, "name": "Ranger", "discriminator": "4119", "nickname": "Ranger", "isBot": false } ], "reference": null }, { "id": 1045567081631989900, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 00:10:17", "content": "**NEONPerseus**", "attachments": [ { "id": 1045567081439047700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045567081439047690/718461587236716584.png", "fileName": "718461587236716584.png", "fileSizeBytes": 9802 } ], "mentions": [], "reference": null }, { "id": 1045567101999530100, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:10:22", "content": "How did I forget to hit I twice", "attachments": [], "mentions": [], "reference": null }, { "id": 1045567314470383600, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/25/2022 00:11:13", "content": "How's it 0?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045567849395142700, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/25/2022 00:13:21", "content": "@NEONPerseus", "attachments": [], "mentions": [ { "id": 718461587236716500, "name": "NEONPerseus", "discriminator": "2128", "nickname": "NEONPerseus", "isBot": false } ], "reference": null }, { "id": 1045568188898869200, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:14:41", "content": "You equate each of the factors to 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045568250441896000, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:14:56", "content": "And clearly, you can see via the graph that x = 0 is a root", "attachments": [], "mentions": [], "reference": null }, { "id": 1045568700411019400, "author_id": 833981789252223000, "author_name": "Ranger", "timestamp": "11/25/2022 00:16:43", "content": "k, I didn't understand but thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1045568776944488400, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:17:02", "content": "Since point B is on the x axis", "attachments": [], "mentions": [], "reference": null }, { "id": 1045568795542032400, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:17:06", "content": "its y co-ordinate is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045568829570424800, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/25/2022 00:17:14", "content": "Thus we equate the polynomial to 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045572476098314400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 00:31:44", "content": "@Ranger Has your question been resolved?", "attachments": [], "mentions": [ { "id": 833981789252223000, "name": "Ranger", "discriminator": "4119", "nickname": "Ranger", "isBot": false } ], "reference": null }, { "id": 1045572522692845700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 00:31:55", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045618242112200700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 03:33:35", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045620693380902900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:43:19", "content": "", "attachments": [ { "id": 1045620693187952600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045620693187952670/C3EEE757-32D1-41CC-A691-36D829EC2E36.jpg", "fileName": "C3EEE757-32D1-41CC-A691-36D829EC2E36.jpg", "fileSizeBytes": 768787 } ], "mentions": [], "reference": null }, { "id": 1045620696065245200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 03:43:20", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045620693380902900, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045620755725025300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:43:34", "content": "i got no idea how to differentiate an integrate with first principles", "attachments": [], "mentions": [], "reference": null }, { "id": 1045620801002537000, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:43:45", "content": "", "attachments": [ { "id": 1045620800767676400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045620800767676456/45C9BC1C-841A-4C40-8C26-A131CAB7B3C2.jpg", "fileName": "45C9BC1C-841A-4C40-8C26-A131CAB7B3C2.jpg", "fileSizeBytes": 1423703 } ], "mentions": [], "reference": null }, { "id": 1045620810691399700, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:43:47", "content": "my work so far", "attachments": [], "mentions": [], "reference": null }, { "id": 1045621882654822400, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:48:03", "content": "Do you have an idea what the answer is ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045621991216005100, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:48:29", "content": "f’(x) should be sin^2(sqrt x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622086477037600, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:48:52", "content": "yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622160527466500, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:49:09", "content": "but how would i deal with the limit", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622320703742000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:49:47", "content": "aren't you allowed to use the fundamental theorem of calculus ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622432570032100, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:50:14", "content": "it says to use the limit definition for derivatives", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622466590015600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:50:22", "content": "wish i could, itd be easy", "attachments": [], "mentions": [ { "id": 246787399991033860, "name": "rafilou2003", "discriminator": "7125", "nickname": "rafilou2003", "isBot": false } ], "reference": null }, { "id": 1045622676456230900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:51:12", "content": "ok, so here's how you do it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045622827899965600, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:51:48", "content": "let's write f(x) = sin^2(sqrt(x))", "attachments": [], "mentions": [], "reference": null }, { "id": 1045623026286329900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:52:36", "content": "compute |F(x+h)-F(x) -hf(x)|", "attachments": [], "mentions": [], "reference": null }, { "id": 1045623206771441700, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:53:19", "content": "okay hold on", "attachments": [], "mentions": [], "reference": null }, { "id": 1045623222638493700, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:53:23", "content": "find an upper bound of this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045623250350248000, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:53:29", "content": "Just compute the integral (where you got stuck)", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045623305006219300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:53:42", "content": "Then you are at standard first principals derivative then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045623828879003800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:55:47", "content": "I don't think it's the purpose of the exercise", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624037411389400, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:56:37", "content": "Im computing the limit im asked to compute", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624068440854500, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:56:44", "content": "So why not", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624184971198600, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:57:12", "content": "good luck finding a primitive of sin^2(sqrt(t)) then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624278671970300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:57:34", "content": ",w integral sin^2(sqrt(t))", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624300394258400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 03:57:39", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624329930547200, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:57:47", "content": "Anything else?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624368161632300, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:57:56", "content": "without using wolfram maybe :)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624423702597600, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:58:09", "content": "Just u sub and what is the problem?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624433173344300, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:58:11", "content": "Like what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624551180083300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:58:39", "content": "", "attachments": [ { "id": 1045624550920048800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045624550920048710/F49710E8-0F5B-4EBE-9809-30110AA41F02.jpg", "fileName": "F49710E8-0F5B-4EBE-9809-30110AA41F02.jpg", "fileSizeBytes": 2033574 } ], "mentions": [], "reference": null }, { "id": 1045624575389618200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 03:58:45", "content": "idk what to do w the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624631421321200, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 03:58:58", "content": "Do what I said", "attachments": [], "mentions": [], "reference": null }, { "id": 1045624636987166700, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 03:59:00", "content": "I mean if you were asked to do that why not just ask 1) compute F(x) ?", "attachments": [], "mentions": [ { "id": 265853506664136700, "name": "ScapeProf", "discriminator": "9427", "nickname": "ScapeProf", "isBot": false } ], "reference": null }, { "id": 1045625114919702700, "author_id": 265853506664136700, "author_name": "ScapeProf", "timestamp": "11/25/2022 04:00:54", "content": "To make whoever is doing the question to think a little", "attachments": [], "mentions": [], "reference": null }, { "id": 1045625263058341900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:01:29", "content": "what is $\\int_x^{x+h}sin^2(\\sqrt{x})dt$ ?", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045625273254674400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:01:31", "content": "**rafilou2003**", "attachments": [ { "id": 1045625273309220900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045625273309220896/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 14976 } ], "mentions": [], "reference": null }, { "id": 1045625577505292300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:02:44", "content": "do i have to do u sub and use trig identies to find the primitive function, then sub the bounds in?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045625615132393500, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:02:53", "content": "no need", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045625653673857000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:03:02", "content": "the thing inside the integral is a constant :)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045625729867600000, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:03:20", "content": "oh yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045625846699921400, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:03:48", "content": "so upper bound is h?", "attachments": [], "mentions": [ { "id": 246787399991033860, "name": "rafilou2003", "discriminator": "7125", "nickname": "rafilou2003", "isBot": false } ], "reference": null }, { "id": 1045626071153913900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:04:42", "content": "waiit why is it sqrt x instead of sqrt t", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045626330424823900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:05:43", "content": "It is sqrt(x), you're integrating a constant", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045626528215609300, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:06:31", "content": "I wanted you to find that this is equal to $hsin²(\\sqrt{x})$", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045626585207812200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:06:44", "content": "**rafilou2003**", "attachments": [ { "id": 1045626585300090900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045626585300090921/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 18068 } ], "mentions": [], "reference": null }, { "id": 1045626711875801100, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:07:14", "content": "yeah i see that now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045626957087391700, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:08:13", "content": "So you replace the hsin²(sqrt(x)) in this", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045627090524962800, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:08:45", "content": "wait i wrote sqrt x instead of sqrt t on 3rd line", "attachments": [], "mentions": [], "reference": null }, { "id": 1045627158153920500, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:09:01", "content": "it should be sqrt t right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045627217939537900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:09:15", "content": "The first member yes", "attachments": [], "mentions": [ { "id": 696699279141765100, "name": "tarzan", "discriminator": "9590", "nickname": "tarzan", "isBot": false } ], "reference": null }, { "id": 1045627330342682600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:09:42", "content": "oh u mean the 2nd term", "attachments": [], "mentions": [ { "id": 246787399991033860, "name": "rafilou2003", "discriminator": "7125", "nickname": "rafilou2003", "isBot": false } ], "reference": null }, { "id": 1045627357857333400, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:09:48", "content": "Yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045627660644143100, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:11:01", "content": "", "attachments": [ { "id": 1045627660199534600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045627660199534613/4EA88BA6-DE2D-43C2-B086-4DCA34F20CCA.jpg", "fileName": "4EA88BA6-DE2D-43C2-B086-4DCA34F20CCA.jpg", "fileSizeBytes": 2848876 } ], "mentions": [], "reference": null }, { "id": 1045627683637301200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:11:06", "content": "i got this now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045627702159355900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:11:11", "content": "Correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1045627795885277200, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:11:33", "content": "Now apply the triangular inequality to the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045628109023629300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:12:48", "content": "|a+b|<|a|+|b|?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045628277575913500, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:13:28", "content": "Yes, but with the integral its |integral(...)| < integral(|...|)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045628728677519400, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:15:15", "content": "", "attachments": [ { "id": 1045628728232906800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045628728232906772/028B180C-2CF3-4629-8004-5518DDA22E41.jpg", "fileName": "028B180C-2CF3-4629-8004-5518DDA22E41.jpg", "fileSizeBytes": 3632984 } ], "mentions": [], "reference": null }, { "id": 1045628997213630500, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:16:19", "content": "That's not what i was asking for", "attachments": [], "mentions": [], "reference": null }, { "id": 1045629265657479200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:17:23", "content": "how do i apply this tho, cuz its a difference", "attachments": [], "mentions": [], "reference": null }, { "id": 1045629437435195500, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:18:04", "content": "$|\\int_x^{x+h}...dt| \\leq \\int_x^{x+h}|...|dt$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045629520369160200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:18:24", "content": "**rafilou2003**", "attachments": [ { "id": 1045629520453050400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045629520453050388/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 11206 } ], "mentions": [], "reference": null }, { "id": 1045629693669408900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:19:05", "content": "we can move the absolute signs inside??", "attachments": [], "mentions": [], "reference": null }, { "id": 1045629814553444400, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:19:34", "content": "oh wait i get", "attachments": [], "mentions": [], "reference": null }, { "id": 1045629924947546200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:20:00", "content": "its like splitting the left int to sums of stuff and applying the inequality?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630083043426400, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:20:38", "content": "You can prove this using the limit definition of the integral", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045630401512742900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:21:54", "content": "ok i got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630431090974700, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:22:01", "content": "then what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630753079300100, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:23:18", "content": "Can you show me what you get ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630815993872400, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:23:33", "content": "", "attachments": [ { "id": 1045630815410847700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045630815410847774/D2FE5D9F-BBBD-4D92-A758-9DBECBA06558.jpg", "fileName": "D2FE5D9F-BBBD-4D92-A758-9DBECBA06558.jpg", "fileSizeBytes": 3491939 } ], "mentions": [], "reference": null }, { "id": 1045630857790116000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:23:43", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630915327561900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:23:57", "content": "Now use the epsilon delta definition of continuity", "attachments": [], "mentions": [], "reference": null }, { "id": 1045630993450676200, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:24:15", "content": "And use the fact that sin²(sqrt(x)) is continuous", "attachments": [], "mentions": [], "reference": null }, { "id": 1045631334057517000, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:25:36", "content": "hold on ill go look at the definition again its been a while", "attachments": [], "mentions": [], "reference": null }, { "id": 1045631747133538300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:27:15", "content": "ok im back i think I understand the definition", "attachments": [], "mentions": [], "reference": null }, { "id": 1045631810404622300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:27:30", "content": "but my notes uses regular funcitons so idk for integrals", "attachments": [], "mentions": [], "reference": null }, { "id": 1045632009818603500, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:28:18", "content": "Use it for sin²(sqrt(x)), not the integral", "attachments": [], "mentions": [], "reference": null }, { "id": 1045633309595672600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:33:27", "content": "i got this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045633311168528500, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:33:28", "content": "", "attachments": [ { "id": 1045633310346448900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045633310346448936/F41A39D9-8484-4B44-BCF5-A9157E47FD0E.jpg", "fileName": "F41A39D9-8484-4B44-BCF5-A9157E47FD0E.jpg", "fileSizeBytes": 3816070 } ], "mentions": [], "reference": null }, { "id": 1045633982756298800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:36:08", "content": "Yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045634375921971200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:37:42", "content": "does this mean the right side int is 0?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045634557501771900, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:38:25", "content": "So $\\int_x^{x+h}|...|dt \\leq \\int_x^{x+h}\\epsilon dt$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045634607145562200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:38:37", "content": "**rafilou2003**", "attachments": [ { "id": 1045634607200092200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045634607200092190/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 11774 } ], "mentions": [], "reference": null }, { "id": 1045634877174845400, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:39:41", "content": "So $\\leq \\epsilon h$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045634887337656300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:39:44", "content": "**rafilou2003**", "attachments": [ { "id": 1045634887425732600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045634887425732668/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 4932 } ], "mentions": [], "reference": null }, { "id": 1045634920002895900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:39:51", "content": "ah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045634965011963900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:40:02", "content": "and i take lim both sides h to 0?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635001057816700, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:40:11", "content": "You divide by h first", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635049745293300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:40:22", "content": "oh right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635138811342800, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:40:44", "content": "okay let me try it then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635407834009600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:41:48", "content": "=< or just < since e > …", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045635498187702300, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:42:09", "content": "Its =<", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635851046092900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:43:33", "content": "wht do i do about the absolute value signs", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635884126584800, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:43:41", "content": "when dividing by h", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635902828970000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:43:46", "content": "But now you have that $|\\frac{F(x+h) - F(x)}{h} - f(x)| \\leq \\epsilon$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045635912576553000, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 04:43:48", "content": "**rafilou2003**", "attachments": [ { "id": 1045635912706564100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045635912706564126/246787399991033858.png", "fileName": "246787399991033858.png", "fileSizeBytes": 19432 } ], "mentions": [], "reference": null }, { "id": 1045636001772613600, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:44:09", "content": "Isn't that the definition of limits ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045636181146218500, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:44:52", "content": "e can be any real number right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045636269327257600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:45:13", "content": "so we have fractuon = f(x)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045636668474015700, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:46:48", "content": "Limit as h->0 of the fraction = f(x) yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637032468303900, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:48:15", "content": "how do i take away the absolute signs", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045637107818967000, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:48:33", "content": "or can i put the limit inside it since absolute value function is continious", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637170125361200, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:48:48", "content": "Limit of the thing inside absolute value is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637223950852100, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:49:01", "content": "So limit of the thing without absolute values has to be 0 as well", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637267517096000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:49:11", "content": "So limit of the fraction is f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637652944257000, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:50:43", "content": "", "attachments": [ { "id": 1045637652457734100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045637652457734204/74354B86-296B-4860-BBD4-9C2691B39C0C.jpg", "fileName": "74354B86-296B-4860-BBD4-9C2691B39C0C.jpg", "fileSizeBytes": 2798695 } ], "mentions": [], "reference": null }, { "id": 1045637656215834600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:50:44", "content": "like this?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637843088842800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:51:28", "content": "Yes so third line before the end, this is true for all epsilon > 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637900403998800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:51:42", "content": "So necessarily the thing inside absolute values is 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637927092359200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:51:48", "content": "ohhh i see", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637964534923300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:51:57", "content": "thank u so much", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637986940891300, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:52:03", "content": "Np :)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045637994448695300, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:52:04", "content": "been struggling on this for a bit", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638073033162800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 04:52:23", "content": "Also if you want to try another way, just compute F(x) using u sub, but it might not work for every function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638148643889200, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:52:41", "content": "yeahh i couldve done that too now looking back at it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638179413311500, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:52:48", "content": "but its cool tho, learnt a new method", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638210266599600, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:52:56", "content": "again tysm have a nice one", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638223998767100, "author_id": 696699279141765100, "author_name": "tarzan", "timestamp": "11/25/2022 04:52:59", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045638227014455400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 04:53:00", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045638479171821600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 04:54:00", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045641901342195700, "author_id": 689422048094978200, "author_name": "CD is stupid", "timestamp": "11/25/2022 05:07:36", "content": "need to find the x intercepts for this quadratic. I have the answer but am unsure how to do the working out.", "attachments": [ { "id": 1045641900524314600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045641900524314684/image.png", "fileName": "image.png", "fileSizeBytes": 2914 }, { "id": 1045641900876640400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045641900876640357/image.png", "fileName": "image.png", "fileSizeBytes": 5243 } ], "mentions": [], "reference": null }, { "id": 1045641903703601300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 05:07:36", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045641901342195700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045643000837046300, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:11:58", "content": "You have y=-3(x+2)^2+4 and you want to find where the curve crosses the x-axis.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045643056386416600, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:12:11", "content": "Every point on the x-axis has a y-coordinate of 0. So we can plug in y=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045643077710266400, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:12:16", "content": "So", "attachments": [], "mentions": [], "reference": null }, { "id": 1045643119342919700, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:12:26", "content": "0=-3(x+2)^2+4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045643139983097900, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:12:31", "content": "This is the equation you want to solve", "attachments": [], "mentions": [], "reference": null }, { "id": 1045643413267153000, "author_id": 689422048094978200, "author_name": "CD is stupid", "timestamp": "11/25/2022 05:13:36", "content": "yes i know this. whats next?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045644189976776800, "author_id": 1036786726477242400, "author_name": "RDK_IE", "timestamp": "11/25/2022 05:16:42", "content": "", "attachments": [ { "id": 1045644189695746000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045644189695746078/image.png", "fileName": "image.png", "fileSizeBytes": 28005 } ], "mentions": [], "reference": null }, { "id": 1045644618810798100, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:18:24", "content": "It's already in vertex form, the quadratic formula is kinda overkill. It works but it's a lot more work than necessary", "attachments": [], "mentions": [], "reference": null }, { "id": 1045645178062512100, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 05:20:37", "content": "Solve the equation like any other. Take steps on both sides to isolate x. Start by subtracting 4", "attachments": [], "mentions": [ { "id": 689422048094978200, "name": "CD is stupid", "discriminator": "4220", "nickname": "CD is stupid", "isBot": false } ], "reference": null }, { "id": 1045645795745087500, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 05:23:04", "content": "w8 google is op", "attachments": [], "mentions": [ { "id": 1036786726477242400, "name": "RDK_IE", "discriminator": "5785", "nickname": "RDK_IE", "isBot": false } ], "reference": null }, { "id": 1045647189092872200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 05:28:37", "content": "@CD is stupid Has your question been resolved?", "attachments": [], "mentions": [ { "id": 689422048094978200, "name": "CD is stupid", "discriminator": "4220", "nickname": "CD is stupid", "isBot": false } ], "reference": null }, { "id": 1045650966000705500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 05:43:37", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045651218787221500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 05:44:37", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652068968439800, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:48:00", "content": "Hello, what is the interval of x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652071262732300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 05:48:01", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045652068968439800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045652277316309000, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:48:50", "content": "", "attachments": [ { "id": 1045652277039480800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045652277039480892/discod5.PNG", "fileName": "discod5.PNG", "fileSizeBytes": 9051 } ], "mentions": [], "reference": null }, { "id": 1045652583211073500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:50:03", "content": "any thoughts?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652764283371500, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:50:46", "content": "well", "attachments": [], "mentions": [ { "id": 984319941417251000, "name": "💜𝓁𝒶𝓎𝓁𝒶💜", "discriminator": "4139", "nickname": "💜𝓁𝒶𝓎𝓁𝒶💜", "isBot": false } ], "reference": null }, { "id": 1045652803797925900, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:50:55", "content": "i dont know it seems like it depends on n", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652829634826400, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:51:01", "content": "Does it?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652863218630700, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:51:09", "content": "idk", "attachments": [], "mentions": [ { "id": 996870091419422700, "name": "草w", "discriminator": "3875", "nickname": "草w", "isBot": false } ], "reference": null }, { "id": 1045652868620898300, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:51:11", "content": "Then write it as I_2(n)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652907837620200, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:51:20", "content": "How about this", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652933968150500, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:51:26", "content": "I_2(1) = {...}", "attachments": [], "mentions": [], "reference": null }, { "id": 1045652982978576400, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:51:38", "content": "if n is 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653023474589700, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:51:48", "content": "idt that’s what she meant", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653050536230900, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:51:54", "content": "IT would be ]0, 4[", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653071692300300, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:51:59", "content": "It's actually what I meant", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653075622375400, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:00", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653083608318000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:02", "content": "We got numbers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653090184990700, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:52:03", "content": "yeah and now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653110208593900, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:08", "content": "I_2(2)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653115157889000, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:52:09", "content": "how do i generalize", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653160754163800, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:20", "content": "Since you're stuck on that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653214785183700, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:33", "content": "Then work with concrete cases first", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653226185310200, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:52:36", "content": "What's I_2(2)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653251732807700, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:52:42", "content": "euh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653265292992500, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:52:45", "content": "so it's", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653359014723600, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:53:08", "content": "]3/4; 7[", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653369773109400, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:53:10", "content": "so what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653402849390600, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:53:18", "content": "What do you notice about I_2(1) and I_2(2)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653531253805000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:53:49", "content": "Nothing?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653537914372100, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:53:50", "content": "it becomes bigger", "attachments": [], "mentions": [ { "id": 996870091419422700, "name": "草w", "discriminator": "3875", "nickname": "草w", "isBot": false } ], "reference": null }, { "id": 1045653564493664300, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:53:57", "content": "the interval i mean", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653578129346600, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:54:00", "content": "Does it?...", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653597267968000, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:54:04", "content": "idk", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653714326786000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:54:32", "content": "What's $\\mathbb{N}^{*}$ by the way", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653723172569100, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 05:54:34", "content": "**草w**", "attachments": [ { "id": 1045653723344556000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045653723344556042/996870091419422750.png", "fileName": "996870091419422750.png", "fileSizeBytes": 9805 } ], "mentions": [], "reference": null }, { "id": 1045653768722726900, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:54:45", "content": "natural nulb without 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653793779499000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:54:51", "content": "i see", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653912662851700, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:55:20", "content": "Would you think this is correct?\n$$I_{2} = \\bigcap_{n\\in\\mathbb{N}^{*}}I_{2}(n)$$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045653965951467600, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 05:55:32", "content": "**草w**", "attachments": [ { "id": 1045653966152802300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045653966152802325/996870091419422750.png", "fileName": "996870091419422750.png", "fileSizeBytes": 18442 } ], "mentions": [], "reference": null }, { "id": 1045654094750175400, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:56:03", "content": "yes", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045654125280501800, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:56:10", "content": "And then what's that?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654131399999500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:56:12", "content": "why don’t we just say everything in [0,4] is in I_2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654294893953000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:56:51", "content": "TBH I'm not sure if the answer is [1,4] or [0,4]", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654298257784800, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 05:56:52", "content": "the intersecton ofall I2", "attachments": [], "mentions": [ { "id": 996870091419422700, "name": "草w", "discriminator": "3875", "nickname": "草w", "isBot": false } ], "reference": null }, { "id": 1045654315202781200, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:56:56", "content": "no?", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045654505770983600, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:57:41", "content": "The smallest interval definitely in I_2 is [1,4]", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654513324916700, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:57:43", "content": "look at what it means for 0 to be in I_2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654587010453500, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:58:00", "content": "Wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654680241446900, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:58:23", "content": "Do you mean that the $\\exists$ should be taken as such that we have $I_{2} = \\bigcup_{n}I_{2}(n)$?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654690760753200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/25/2022 05:58:25", "content": "**草w**", "attachments": [ { "id": 1045654690840453200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045654690840453190/996870091419422750.png", "fileName": "996870091419422750.png", "fileSizeBytes": 24029 } ], "mentions": [], "reference": null }, { "id": 1045654783345832100, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:58:47", "content": "Either way it should be one of the two cases", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654794028712000, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:58:50", "content": "Which can be computed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654797803602000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:58:51", "content": "i’m not a huge fan of the I_2(n) thing but sure", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654872076341200, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:59:08", "content": "that’s like an extra thing to prove", "attachments": [], "mentions": [], "reference": null }, { "id": 1045654885292572700, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:59:11", "content": "Compute them, that's all you need", "attachments": [], "mentions": [ { "id": 1020689932634832900, "name": "lilisworld", "discriminator": "0022", "nickname": "lilisworld", "isBot": false } ], "reference": null }, { "id": 1045654894452940800, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 05:59:14", "content": "and it’s unnecessary", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655028582592500, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:59:46", "content": "I don't see how it's unnecessary", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655057833668700, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 05:59:53", "content": "It's working", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655224582406100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:00:32", "content": "proving this is extra work", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045655509543432200, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/25/2022 06:01:40", "content": "depends on the expectation of the question maker :p\n\nthat feels like a statement i would just write and treat as a fact without justification and then sometimes get scolded for", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655552375664600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:01:51", "content": "i’d just prove I_2 = [0, infty) directly", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655852968845400, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/25/2022 06:03:02", "content": "careful", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655894207242200, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 06:03:12", "content": "is it inter or union?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655906030989300, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 06:03:15", "content": "at the end?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655947357474800, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:03:25", "content": "Union I think", "attachments": [], "mentions": [], "reference": null }, { "id": 1045655957541224400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:03:27", "content": "about what?", "attachments": [], "mentions": [ { "id": 654879167376261100, "name": "IV", "discriminator": "9809", "nickname": "IV", "isBot": false } ], "reference": null }, { "id": 1045656002026029000, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/25/2022 06:03:38", "content": "why", "attachments": [], "mentions": [ { "id": 996870091419422700, "name": "草w", "discriminator": "3875", "nickname": "草w", "isBot": false } ], "reference": null }, { "id": 1045656040202588200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/25/2022 06:03:47", "content": "seems like a similar proof :hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1045656056640045200, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:03:51", "content": "But basically you should be thinking about how to go from a concrete step like n=1, ... and then going towards the union", "attachments": [], "mentions": [], "reference": null }, { "id": 1045656128589152400, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:04:08", "content": "If it depends on n, write the form of it that actually depends on n", "attachments": [], "mentions": [], "reference": null }, { "id": 1045656162277789700, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:04:16", "content": "Because I_2 as written *does not* depend on n", "attachments": [], "mentions": [], "reference": null }, { "id": 1045657615000142000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:10:02", "content": "if x < 0, x < 1 - 1/n^2 for all n and so x is not in I_2\nif 0 <= x <= 4, x is in I_2 by looking at when n =1\nif x > 4, then x >= 1-1/n^2 for any n and x <= n^2 + 3 for some large enough n, so x is in I_2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045657705622274000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:10:24", "content": ":QED:", "attachments": [], "mentions": [], "reference": null }, { "id": 1045658610497241100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:14:00", "content": "i just had to share my non-I_2(n) idea", "attachments": [], "mentions": [], "reference": null }, { "id": 1045659058713145300, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:15:47", "content": "ngl it looks the same", "attachments": [], "mentions": [], "reference": null }, { "id": 1045659366784766000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:17:00", "content": "but it comes right from the way the set is defined", "attachments": [], "mentions": [], "reference": null }, { "id": 1045659434992549900, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 06:17:16", "content": "no convincing of this is needed", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1045659668246171600, "author_id": 996870091419422700, "author_name": "草w", "timestamp": "11/25/2022 06:18:12", "content": "You're right, it's more direct", "attachments": [], "mentions": [], "reference": null }, { "id": 1045660927430770700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 06:23:12", "content": "@lilisworld Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1020689932634832900, "name": "lilisworld", "discriminator": "0022", "nickname": "lilisworld", "isBot": false } ], "reference": null }, { "id": 1045664704896438300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 06:38:13", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045683969179525100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 07:54:46", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045685055592345600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 07:59:05", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045685051473539200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045688132424712200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:11:18", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045688385471267000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:12:19", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045688935516483600, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:14:30", "content": "yo", "attachments": [], "mentions": [], "reference": null }, { "id": 1045688937324220400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:14:30", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045688935516483600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045688949160562800, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:14:33", "content": "help pls", "attachments": [], "mentions": [], "reference": null }, { "id": 1045689013132083200, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:14:48", "content": "grade 10 inscribed angles and intercepted arcs", "attachments": [], "mentions": [], "reference": null }, { "id": 1045689587458125800, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:17:05", "content": "", "attachments": [ { "id": 1045689587399413900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045689587399413870/IMG_20221125_211655.jpg", "fileName": "IMG_20221125_211655.jpg", "fileSizeBytes": 293086 } ], "mentions": [], "reference": null }, { "id": 1045689919475028100, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:18:24", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690330680414300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:20:02", "content": "which one", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690365178544300, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:20:11", "content": "a first", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690439195430900, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:20:28", "content": "i cant wrap my brain on how am i supposed to get the diameter", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690605117919400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:21:08", "content": "they say it only applies in the semicircles concept and one says that it applies on basically anything", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690808126419000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:21:56", "content": "AE and MT is same ???", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690825914466300, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:22:00", "content": "so yeah ik how to get the inscribed center angles and intercepted arcs but how do u get the diameter", "attachments": [], "mentions": [], "reference": null }, { "id": 1045690903731376100, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:22:19", "content": "no it says that they are diameters", "attachments": [], "mentions": [ { "id": 1045261994170781700, "name": "mojii", "discriminator": "0173", "nickname": "mojii", "isBot": false } ], "reference": null }, { "id": 1045691095226519600, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:23:05", "content": "now MA is easy because its the intercept arc of mqa", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691123991056500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:23:11", "content": "if its diameters MA =ET", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691326185885700, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:24:00", "content": "idk how am i supposed to get AT like they are both diameters", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691352731623400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:24:06", "content": "ME = AT", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691412987007000, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:24:20", "content": "yeah how do you get that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691433136435200, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:24:25", "content": "the measurement", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691670777307100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:25:22", "content": "MA =45 .....AT = 45\nAE =180 ......180-45 = ME", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691748787163100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:25:40", "content": "understand", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691768705925200, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:25:45", "content": "wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691784598134800, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:25:49", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691894279184400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:26:15", "content": "how is MA and AT the same", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691921567330300, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:26:22", "content": "its not part of the inscribed angle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691950101184500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:26:28", "content": "diameters", "attachments": [], "mentions": [], "reference": null }, { "id": 1045691999170351100, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:26:40", "content": "what", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692160256770000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:27:19", "content": "becuse when diameters cut in center two angel is same", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692232956653600, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:27:36", "content": "bro im so dumb there was no diameters to calculate", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692303215448200, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:27:53", "content": "its just inscribed and intercepted arcs", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692312447094800, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:27:55", "content": "bruh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692452868198400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:28:28", "content": "am going to solve it first", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692586930745300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:29:00", "content": "its true that MA + ME = 180", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692654333206500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:29:16", "content": "AT + ME = 180", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692714366271600, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:29:31", "content": "THEN MT =EA", "attachments": [], "mentions": [], "reference": null }, { "id": 1045692796151009300, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:29:50", "content": "why do you need to add", "attachments": [], "mentions": [ { "id": 1045261994170781700, "name": "mojii", "discriminator": "0173", "nickname": "mojii", "isBot": false } ], "reference": null }, { "id": 1045692918456930300, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:30:19", "content": "sorry man im dumb as hell", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693012560334800, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:30:42", "content": "are you reed your book?", "attachments": [], "mentions": [ { "id": 482815663778299900, "name": "rune", "discriminator": "5032", "nickname": "rune", "isBot": false } ], "reference": null }, { "id": 1045693044839682000, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:30:49", "content": "ywah", "attachments": [], "mentions": [ { "id": 1045261994170781700, "name": "mojii", "discriminator": "0173", "nickname": "mojii", "isBot": false } ], "reference": null }, { "id": 1045693051705770100, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:30:51", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693139425427500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:31:12", "content": "but i think you arent", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693340609433600, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:32:00", "content": "to get the measure of inscribed angles its the half of the intercepted arc", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693382716047400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:32:10", "content": "now theres only one angle given there", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693443927711700, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:32:25", "content": "how am i supposed to anwser et like theres no given angle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693528124178400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:32:45", "content": "the only given angle there is mqa", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693725902385200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:33:32", "content": "it's easy question find same angel find 180 and 90 angel that you know then solve", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693792856064100, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:33:48", "content": "ok imma try", "attachments": [], "mentions": [], "reference": null }, { "id": 1045693895431946200, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/25/2022 08:34:12", "content": "be successful", "attachments": [], "mentions": [], "reference": null }, { "id": 1045695848207618200, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:41:58", "content": "aight thanks solved if", "attachments": [], "mentions": [], "reference": null }, { "id": 1045695859268001800, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:42:00", "content": "it\"", "attachments": [], "mentions": [], "reference": null }, { "id": 1045695899743047700, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:42:10", "content": "how do you close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045695905011089400, "author_id": 482815663778299900, "author_name": "rune", "timestamp": "11/25/2022 08:42:11", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045695907615748100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:42:12", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045696159924105200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:43:12", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045697646695825400, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 08:49:07", "content": "How do I draw this digitally? Like a similar function recommendation or any tool/website recommendation? I am not much experience with Bezeir curves.", "attachments": [ { "id": 1045697646469324800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045697646469324851/img_v2_32cc325b-d1d2-47db-ac37-0b166444cc2g.jpg", "fileName": "img_v2_32cc325b-d1d2-47db-ac37-0b166444cc2g.jpg", "fileSizeBytes": 38052 } ], "mentions": [], "reference": null }, { "id": 1045697649212407900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 08:49:07", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045697646695825400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045698971559014500, "author_id": 1036786726477242400, "author_name": "RDK_IE", "timestamp": "11/25/2022 08:54:22", "content": "desmo", "attachments": [], "mentions": [], "reference": null }, { "id": 1045698987086315600, "author_id": 1036786726477242400, "author_name": "RDK_IE", "timestamp": "11/25/2022 08:54:26", "content": "s", "attachments": [], "mentions": [], "reference": null }, { "id": 1045699161401598000, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 08:55:08", "content": "Yeah but how?", "attachments": [], "mentions": [ { "id": 1036786726477242400, "name": "RDK_IE", "discriminator": "5785", "nickname": "RDK_IE", "isBot": false } ], "reference": null }, { "id": 1045699219413020700, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 08:55:22", "content": "you write the function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045699240854294500, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 08:55:27", "content": "in desmos", "attachments": [], "mentions": [], "reference": null }, { "id": 1045699322227986400, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 08:55:46", "content": "Which function has a similar behaviour :thonk:", "attachments": [], "mentions": [], "reference": null }, { "id": 1045699503451275400, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 08:56:29", "content": "more like try plotting a few points and making out a formula for it", "attachments": [], "mentions": [ { "id": 985906680602693600, "name": "Bayes' Theorem is bae", "discriminator": "7677", "nickname": "Bayes' Theorem is bae", "isBot": false } ], "reference": null }, { "id": 1045699639220912300, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 08:57:02", "content": "Like polynomial formula or exponential or any?", "attachments": [], "mentions": [ { "id": 798556451139223600, "name": "meckron", "discriminator": "5461", "nickname": "meckron", "isBot": false } ], "reference": null }, { "id": 1045699747282944100, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 08:57:27", "content": "from looking at it it looks like polynomial function so yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045700049197350900, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 08:58:39", "content": "I guess not because it is supposed to tend to 0 from the left side.", "attachments": [], "mentions": [ { "id": 798556451139223600, "name": "meckron", "discriminator": "5461", "nickname": "meckron", "isBot": false } ], "reference": null }, { "id": 1045700340210741200, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 08:59:49", "content": "@Bayes' Theorem is bae https://mycurvefit.com/", "attachments": [], "mentions": [ { "id": 985906680602693600, "name": "Bayes' Theorem is bae", "discriminator": "7677", "nickname": "Bayes' Theorem is bae", "isBot": false } ], "reference": null }, { "id": 1045701675110908000, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:05:07", "content": "I guess that could be one way to do it. otherwise you can guess or interpolate this somehow..", "attachments": [], "mentions": [], "reference": null }, { "id": 1045701989478187000, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:06:22", "content": "I really appreciate this, and it would help me with a lot of things but not working for the one I have :p", "attachments": [], "mentions": [ { "id": 785280792036507600, "name": "vfio", "discriminator": "5808", "nickname": "vfio", "isBot": false } ], "reference": null }, { "id": 1045702109674360800, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:06:51", "content": "The scaling is an issue as well.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045702127823114200, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:06:55", "content": "ok tell me what do you want to use this for", "attachments": [], "mentions": [], "reference": null }, { "id": 1045702522372886700, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:08:29", "content": "so we can tell if you need an approximation, exact formula etc", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703125970993300, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:10:53", "content": "I think it was this question", "attachments": [ { "id": 1045703125710930000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045703125710929991/img_v2_d6551da3-e2d9-45a1-9c07-21f3634cc25g.jpg", "fileName": "img_v2_d6551da3-e2d9-45a1-9c07-21f3634cc25g.jpg", "fileSizeBytes": 141841 } ], "mentions": [ { "id": 785280792036507600, "name": "vfio", "discriminator": "5808", "nickname": "vfio", "isBot": false } ], "reference": null }, { "id": 1045703269248417800, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:11:27", "content": "I only need to know how to sketch a function with these conditions.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703364052267100, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:11:50", "content": "hmm I think you can get a formula for this function just knowing this. then you can plot it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703410701324300, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:12:01", "content": "Can you guide me how?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703490162401400, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:12:20", "content": "I tried and made a quartic but it didn't quite work.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703583519215600, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:12:42", "content": "you know f(x)=4, then you know f''(-1)=f''(1)=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703623960707100, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:12:52", "content": "that should be the second derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045703986105299000, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:14:18", "content": "ok I think we can't solve this without more data. because of f(0)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704035149295600, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:14:30", "content": "could be any polynomial in the middle. eh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704166149992600, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:15:01", "content": "but it makes me think it's a cubic thing", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704223221891200, "author_id": 985906680602693600, "author_name": "Bayes' Theorem is bae", "timestamp": "11/25/2022 09:15:15", "content": "I agree", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704281937944600, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:15:29", "content": "no wait, hmm", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704459868708900, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:16:11", "content": "damn, I just noticed. the second ddx gives 0 as well", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704467829498000, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:16:13", "content": "that's so boring", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704504584175600, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:16:22", "content": "could be anything in there", "attachments": [], "mentions": [], "reference": null }, { "id": 1045704638260859000, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:16:54", "content": "we know it's continuous, that's something..", "attachments": [], "mentions": [], "reference": null }, { "id": 1045705165170294800, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:18:59", "content": "yeah, it IS cubic.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045705359031009300, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:19:45", "content": "function itself is always positive, it's first derivative is positive in (-inf, 0)u(2;inf)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045705412474843300, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:19:58", "content": "so it's a parabola", "attachments": [], "mentions": [], "reference": null }, { "id": 1045705450986930200, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 09:20:07", "content": "-1,1 should be the inflection points", "attachments": [], "mentions": [], "reference": null }, { "id": 1045705635695710300, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:20:51", "content": "right, I'm thinking we could find the formula here actually?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045707887328104400, "author_id": 785280792036507600, "author_name": "vfio", "timestamp": "11/25/2022 09:29:48", "content": "ok, sorry, I don't know. the last part doesn't make sense to me. it's not just a line because that second derivative is not monotonous", "attachments": [], "mentions": [], "reference": null }, { "id": 1045709146525274100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 09:34:48", "content": "@Bayes' Theorem is bae Has your question been resolved?", "attachments": [], "mentions": [ { "id": 985906680602693600, "name": "Bayes' Theorem is bae", "discriminator": "7677", "nickname": "Bayes' Theorem is bae", "isBot": false } ], "reference": null }, { "id": 1045709622037721200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 09:36:42", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045709779584159700, "author_id": 798556451139223600, "author_name": "meckron", "timestamp": "11/25/2022 09:37:19", "content": "do you think 0 and 2 are critical points", "attachments": [], "mentions": [], "reference": null }, { "id": 1045709874912313500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 09:37:42", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710152986284200, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:38:48", "content": "hello", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710157319000000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 09:38:49", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045710152986284200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045710204089667600, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:39:01", "content": "is there a name for an `n + 1` object?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710244988321900, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:39:10", "content": "im thinking about the pigeon hole principle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710367113891800, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:39:39", "content": "The principle is as follows. When we have a fixed amount of boxes *n* and *n + 1* objects then we must have one box that contains two or more objects.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710413746147500, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:39:50", "content": "is there a name for n + 1 ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710441202061300, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/25/2022 09:39:57", "content": "uhh, in some fields you might see the word successor\n\nin the context of PHP, no", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710447485145100, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:39:59", "content": "a fixed set n", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710488031469700, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:40:08", "content": "HM", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710492678754300, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:40:09", "content": "okay", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710694659665900, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:40:57", "content": "so with the pigeonhole principle", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710721725513700, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:41:04", "content": "you always have one set that is fixed", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710741119967200, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:41:09", "content": "and then the other set is n + 1?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710805624160300, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:41:24", "content": "well not always", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710857029562400, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:41:36", "content": "but i just want a way to describe n + 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045710880815468500, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:41:42", "content": "a set that is n + 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711037393027100, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:42:19", "content": "a finite set and an n + 1 set", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711210357731300, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/25/2022 09:43:00", "content": "well now you're literally talking about successor sets", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711231899668500, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:06", "content": "hm", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711276279611400, "author_id": 654879167376261100, "author_name": "IV", "timestamp": "11/25/2022 09:43:16", "content": "so i guess successor set ¯\\_(ツ)_/¯", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711302292680800, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:22", "content": "lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711310526107600, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:24", "content": "alright", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711352305557500, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:34", "content": "thanks for your help", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711406701494300, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:47", "content": "i'll just keep with my n + 1 description for now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711453665116300, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:43:58", "content": "😁", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711462900973600, "author_id": 337392424433483800, "author_name": "Ziggy", "timestamp": "11/25/2022 09:44:01", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045711465849565300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 09:44:01", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1032838027812278300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 22:09:35", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1032838372739268600, "author_id": 385968394396106750, "author_name": "Royal", "timestamp": "10/20/2022 22:10:57", "content": "need help on this", "attachments": [], "mentions": [], "reference": null }, { "id": 1032838374702190600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 22:10:57", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1032838372739268600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1032842298788163700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 22:26:33", "content": "@Royal Has your question been resolved?", "attachments": [], "mentions": [ { "id": 385968394396106750, "name": "Royal", "discriminator": "4280", "nickname": "Royal", "isBot": false } ], "reference": null }, { "id": 1032842441730052100, "author_id": 385968394396106750, "author_name": "Royal", "timestamp": "10/20/2022 22:27:07", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1032849992479674400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 22:57:07", "content": "@Royal Has your question been resolved?", "attachments": [], "mentions": [ { "id": 385968394396106750, "name": "Royal", "discriminator": "4280", "nickname": "Royal", "isBot": false } ], "reference": null }, { "id": 1032865306072334300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 23:57:58", "content": "@Royal Has your question been resolved?", "attachments": [], "mentions": [ { "id": 385968394396106750, "name": "Royal", "discriminator": "4280", "nickname": "Royal", "isBot": false } ], "reference": null }, { "id": 1032865362330517500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/20/2022 23:58:12", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033759698379358300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 11:11:58", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033759955012030500, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 11:12:59", "content": "can someone solve this?", "attachments": [ { "id": 1033759954668110000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033759954668109915/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 57647 } ], "mentions": [], "reference": null }, { "id": 1033759957838995600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 11:13:00", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033759955012030500, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033760214232613000, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 11:14:01", "content": "Tini and Tina are creating a secret code for their communication. They only communicate using five letters, namely A, B, C, D, and E. To make this secret code, they will only use the numbers 0 and 1. They agreed to encode as follows: A = 0, B = 1, C = 10, D=11, and E=100. Between letters in one word do not want to be spaced to save time writing. However, they realized that without spaces there is a possibility that the code will be misinterpreted, for example: 10 can be read as C or read as BA. Therefore they decided to change their coding. Which coding would allow them to code all words without any ambiguity?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033763989819248800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 11:29:01", "content": "@Queechad Has your question been resolved?", "attachments": [], "mentions": [ { "id": 456355848470396900, "name": "Queechad", "discriminator": "7367", "nickname": "Queechad", "isBot": false } ], "reference": null }, { "id": 1033764410507927600, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 11:30:41", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1033771961228214400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 12:00:42", "content": "@Queechad Has your question been resolved?", "attachments": [], "mentions": [ { "id": 456355848470396900, "name": "Queechad", "discriminator": "7367", "nickname": "Queechad", "isBot": false } ], "reference": null }, { "id": 1033783543777722400, "author_id": 633338331220148200, "author_name": "Sharl Eclair", "timestamp": "10/23/2022 12:46:43", "content": "use elimination", "attachments": [], "mentions": [ { "id": 456355848470396900, "name": "Queechad", "discriminator": "7367", "nickname": "Queechad", "isBot": false } ], "reference": null }, { "id": 1033783607929602200, "author_id": 633338331220148200, "author_name": "Sharl Eclair", "timestamp": "10/23/2022 12:46:58", "content": "try and figure out an issue with each option", "attachments": [], "mentions": [], "reference": null }, { "id": 1033783684471472300, "author_id": 633338331220148200, "author_name": "Sharl Eclair", "timestamp": "10/23/2022 12:47:17", "content": "and the one remaining one is the right answe", "attachments": [], "mentions": [], "reference": null }, { "id": 1033784136487415800, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 12:49:04", "content": "so.. i should try it one by one?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033784176870179000, "author_id": 633338331220148200, "author_name": "Sharl Eclair", "timestamp": "10/23/2022 12:49:14", "content": "yup", "attachments": [], "mentions": [], "reference": null }, { "id": 1033784222072197200, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 12:49:25", "content": "okay then, thx bro", "attachments": [], "mentions": [], "reference": null }, { "id": 1033784342511636600, "author_id": 456355848470396900, "author_name": "Queechad", "timestamp": "10/23/2022 12:49:54", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033784345263083500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 12:49:54", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045716758541119500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 10:05:03", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045717208032096400, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:06:50", "content": "im really stuck", "attachments": [ { "id": 1045717207818174500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045717207818174474/IMG_2239.jpg", "fileName": "IMG_2239.jpg", "fileSizeBytes": 527750 } ], "mentions": [], "reference": null }, { "id": 1045717210833887400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 10:06:51", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045717208032096400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045717893129715700, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:09:34", "content": "use pythagorean theorem to set up an equation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718086218698900, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:10:20", "content": "c = a^2+b^2?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718121299836900, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:10:28", "content": "c^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718143189909500, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:10:33", "content": "k", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718467904557000, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:11:51", "content": "now i simplify", "attachments": [ { "id": 1045718467661271200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045718467661271162/IMG_2240.jpg", "fileName": "IMG_2240.jpg", "fileSizeBytes": 476046 } ], "mentions": [], "reference": null }, { "id": 1045718662620922000, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:12:37", "content": "im solving for x though wouldnt it be a^2 = c^2-b^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718701367898200, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:12:46", "content": "@Zybikron", "attachments": [], "mentions": [ { "id": 334482942506041340, "name": "Zybikron", "discriminator": "5611", "nickname": "Zybikron", "isBot": false } ], "reference": null }, { "id": 1045718896948285400, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:13:33", "content": "(3x+4)^2 yeah\nit's all the same. \nNow that you have an equation, move everything over to set it equal to 0 and factor your quadratic", "attachments": [], "mentions": [], "reference": null }, { "id": 1045718950559879300, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:13:46", "content": "got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045719036530536600, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:14:06", "content": "i need to simply first?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045719124623495200, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:14:27", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045719699859710000, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:16:44", "content": "these numbers look to big to factor should i use the quadratic eqation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045719728192245800, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:16:51", "content": "", "attachments": [ { "id": 1045719727932186600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045719727932186654/IMG_2241.jpg", "fileName": "IMG_2241.jpg", "fileSizeBytes": 620975 } ], "mentions": [], "reference": null }, { "id": 1045719741639180400, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:16:54", "content": "@Zybikron", "attachments": [], "mentions": [ { "id": 334482942506041340, "name": "Zybikron", "discriminator": "5611", "nickname": "Zybikron", "isBot": false } ], "reference": null }, { "id": 1045719810689990700, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:17:11", "content": "sure", "attachments": [], "mentions": [], "reference": null }, { "id": 1045720548690382800, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:20:07", "content": "gave me a negative descrimitiv", "attachments": [], "mentions": [], "reference": null }, { "id": 1045720779381297200, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:21:02", "content": "you dropped the 16", "attachments": [], "mentions": [], "reference": null }, { "id": 1045720825191465100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:21:13", "content": "should have 16+576 = 592", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721057119707100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:22:08", "content": "but yeah... hmmm", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721189168971800, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:22:40", "content": "", "attachments": [ { "id": 1045721188627919000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045721188627918960/4FE123AC-C538-451F-8BFA-9831540D441B.jpg", "fileName": "4FE123AC-C538-451F-8BFA-9831540D441B.jpg", "fileSizeBytes": 3110368 } ], "mentions": [], "reference": null }, { "id": 1045721328013033500, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:23:13", "content": "oh wait....", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721381255528600, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:23:25", "content": "since it is pythagorem theorem and sqaure wouldnt i square root", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721392047476700, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:23:28", "content": "you didn't make anything negative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721434820972700, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:23:38", "content": "you have c^2+a^2+b^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045721508816900200, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:23:56", "content": "should be c^2-a^2-b^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045722377490804900, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:27:23", "content": "", "attachments": [ { "id": 1045722377251721200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045722377251721216/IMG_2243.jpg", "fileName": "IMG_2243.jpg", "fileSizeBytes": 808257 } ], "mentions": [], "reference": null }, { "id": 1045722404049129600, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:27:29", "content": "@Zybikron", "attachments": [], "mentions": [ { "id": 334482942506041340, "name": "Zybikron", "discriminator": "5611", "nickname": "Zybikron", "isBot": false } ], "reference": null }, { "id": 1045722505387704400, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:27:53", "content": "you dropped the 16 again, and 576 is still negative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045722509074518000, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:27:54", "content": "cept its 592", "attachments": [], "mentions": [], "reference": null }, { "id": 1045722560702201900, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:28:07", "content": "isnt -24^2 postitve?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045722739492790300, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:28:49", "content": "no, (-24)^2 is positive, you are subtracting 24^2\nso you're stubtracting 576", "attachments": [], "mentions": [], "reference": null }, { "id": 1045722787991527600, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:29:01", "content": "oh yeahhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045723432152727700, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:31:34", "content": "postive one is the answer?", "attachments": [ { "id": 1045723431804612900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045723431804612829/IMG_2244.jpg", "fileName": "IMG_2244.jpg", "fileSizeBytes": 601078 } ], "mentions": [], "reference": null }, { "id": 1045723450616070100, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:31:39", "content": "@Zybikron", "attachments": [], "mentions": [ { "id": 334482942506041340, "name": "Zybikron", "discriminator": "5611", "nickname": "Zybikron", "isBot": false } ], "reference": null }, { "id": 1045723482786381800, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 10:31:46", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045723521965367400, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:31:56", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1045723605750796300, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:32:16", "content": "thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1045723613732536400, "author_id": 708346389872246900, "author_name": "***", "timestamp": "11/25/2022 10:32:18", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045723616928612500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 10:32:18", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045727768769478800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 10:48:48", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045728272358592500, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:50:48", "content": "Hi There", "attachments": [], "mentions": [], "reference": null }, { "id": 1045728276246712400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 10:50:49", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045728272358592500, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045728364905898000, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:51:10", "content": "I have a question in probability", "attachments": [], "mentions": [], "reference": null }, { "id": 1045728757186564200, "author_id": 660416568236441600, "author_name": "pete.", "timestamp": "11/25/2022 10:52:44", "content": "ask the question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729333156794400, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:55:01", "content": "It's a long one", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729369219412000, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:55:10", "content": "so It's hard to translate", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729405948936200, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:55:19", "content": "I am trying to find the question in English", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729865699180500, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:57:08", "content": "Send it bru", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045729905272422400, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 10:57:18", "content": "In which language is the question originally ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729962109452300, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:57:31", "content": "Hebrew lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729976391061600, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:57:35", "content": "Doesnt matter", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045729983080972400, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:57:36", "content": "Send it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729994258776000, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/25/2022 10:57:39", "content": "Oh ok xd", "attachments": [], "mentions": [], "reference": null }, { "id": 1045729999942078500, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:57:40", "content": "Send it", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045730020561268900, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:57:45", "content": "In Hebrew?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730031109943300, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:57:48", "content": "O.o", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730033655877600, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:57:48", "content": "Yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730192322212000, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:58:26", "content": "", "attachments": [ { "id": 1045730191412035700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045730191412035714/Screenshot_2022-11-25_at_17.58.19.png", "fileName": "Screenshot_2022-11-25_at_17.58.19.png", "fileSizeBytes": 260033 } ], "mentions": [], "reference": null }, { "id": 1045730209179127900, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:58:30", "content": "lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730249587048600, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:58:40", "content": "I've done a,b and c", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730249599635600, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:58:40", "content": "Cool wait a sec", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730286819872800, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 10:58:49", "content": "I am trying to figure out d", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730562293383200, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:59:54", "content": "", "attachments": [ { "id": 1045730562322739200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045730562322739220/IMG_5050.png", "fileName": "IMG_5050.png", "fileSizeBytes": 340207 } ], "mentions": [], "reference": null }, { "id": 1045730569067184100, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 10:59:56", "content": "Is this the question?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730650117902500, "author_id": 703442032147824800, "author_name": "Cael 🇹🇷", "timestamp": "11/25/2022 11:00:15", "content": "Can someone help me with my question in my channel ahaha I'm asking here cuz it seems active here", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730837846565000, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:01:00", "content": "Yes lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730852631478300, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:01:04", "content": "It is the question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730953173160100, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 11:01:27", "content": "How many memebers?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045730985909682200, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:01:35", "content": "for a I got: 0.0005", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731024144974000, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:01:44", "content": "for b I got: 0.124", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731070986944600, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:01:56", "content": "for c: 0.263", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731096479936600, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:02:02", "content": "and can't figure out d", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731145133862900, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:02:13", "content": "5 people in the family", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731180336660500, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:02:22", "content": "2 adults and 3 children", "attachments": [], "mentions": [], "reference": null }, { "id": 1045731371450110100, "author_id": 966370658802077700, "author_name": "Okkotsu Yuta", "timestamp": "11/25/2022 11:03:07", "content": "Wouldnt it be 3x0.05^2 + 2x0.01 ^2?", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045731503172239400, "author_id": 865081952368590800, "author_name": "RanZ", "timestamp": "11/25/2022 11:03:39", "content": "Why is that?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045735279866167300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 11:18:39", "content": "@RanZ Has your question been resolved?", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045742855504789500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 11:48:45", "content": "@RanZ Has your question been resolved?", "attachments": [], "mentions": [ { "id": 865081952368590800, "name": "RanZ", "discriminator": "6936", "nickname": "RanZ", "isBot": false } ], "reference": null }, { "id": 1045750407089094700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 12:18:46", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045754797720076300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 12:36:12", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045755013546385400, "author_id": 778693172321976300, "author_name": "BigChungus", "timestamp": "11/25/2022 12:37:04", "content": "", "attachments": [ { "id": 1045755013454118900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045755013454118962/image.png", "fileName": "image.png", "fileSizeBytes": 1911 } ], "mentions": [], "reference": null }, { "id": 1045755017216397300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 12:37:05", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045755013546385400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045755037802045400, "author_id": 778693172321976300, "author_name": "BigChungus", "timestamp": "11/25/2022 12:37:10", "content": "wait what does this mean", "attachments": [], "mentions": [], "reference": null }, { "id": 1045755491076276200, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/25/2022 12:38:58", "content": "10 times the sqaure root of 17", "attachments": [], "mentions": [], "reference": null }, { "id": 1045756216086904800, "author_id": 778693172321976300, "author_name": "BigChungus", "timestamp": "11/25/2022 12:41:51", "content": "thank you", "attachments": [], "mentions": [], "reference": null }, { "id": 1045759991925190700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 12:56:51", "content": "@BigChungus Has your question been resolved?", "attachments": [], "mentions": [ { "id": 778693172321976300, "name": "BigChungus", "discriminator": "8983", "nickname": "BigChungus", "isBot": false } ], "reference": null }, { "id": 1045763768539427000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 13:11:51", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045768586049900500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 13:31:00", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045768979207176300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:32:34", "content": "", "attachments": [ { "id": 1045768978972287000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045768978972286987/IMG_0339.png", "fileName": "IMG_0339.png", "fileSizeBytes": 141863 } ], "mentions": [], "reference": null }, { "id": 1045768981539213400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 13:32:34", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045768979207176300, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045769118797811800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:33:07", "content": "I am taught that like terms can only be combined when they are the exact same variable raised to the exact same exponent", "attachments": [], "mentions": [], "reference": null }, { "id": 1045769243515433000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:33:37", "content": "So in this case why can I combine 3^1/3 and b^1/3 ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045769393298211000, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:34:12", "content": "", "attachments": [ { "id": 1045769393000427600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045769393000427612/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 43769 } ], "mentions": [], "reference": null }, { "id": 1045769431571247100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:34:21", "content": "power of a product rule", "attachments": [], "mentions": [], "reference": null }, { "id": 1045769608201773000, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:35:04", "content": "you're thinking of addition\nyou can only combine two added variables if they are the same variable to the same power", "attachments": [], "mentions": [], "reference": null }, { "id": 1045769740754366600, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:35:35", "content": "x+y stays the same\nx+x^2 stays the same\nbut\nx^2 + x^2 = 2x^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045770186164277200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:37:21", "content": "Should I look at 3^1/3 as [(3^1/3)(b^0/3)]and b^1/3 as [(1^3/3)(b^1/3)]?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045770286001291400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:37:45", "content": "So that I combine those as like terms", "attachments": [], "mentions": [], "reference": null }, { "id": 1045770379446190200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:38:07", "content": "Where that both have a constant and a variable of the same power", "attachments": [], "mentions": [], "reference": null }, { "id": 1045770632702472300, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:39:08", "content": "i guess you can....\nbut (3^1/3)(b^1/3) = (3b)^1/3\nby the product of a power rule, 4th one on the list.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045770700352409600, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 13:39:24", "content": "just let a = 3, b = b, m =1/3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771162849919100, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:41:14", "content": "", "attachments": [ { "id": 1045771162615025700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045771162615025674/IMG_0341.png", "fileName": "IMG_0341.png", "fileSizeBytes": 305372 } ], "mentions": [], "reference": null }, { "id": 1045771297084428300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:41:46", "content": "That fractional exponent rule is the easiest one to mix up", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771353938219100, "author_id": 733585715673432200, "author_name": "Deol", "timestamp": "11/25/2022 13:42:00", "content": "Lol what?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771363610271700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:42:02", "content": "I have to remember power over root, power over root,", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771520028450800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:42:39", "content": "If you think about power over root I drew this to help me visualize the order haha", "attachments": [], "mentions": [ { "id": 733585715673432200, "name": "Deol", "discriminator": "9889", "nickname": "Deol", "isBot": false } ], "reference": null }, { "id": 1045771805320822900, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:43:47", "content": "Like how roots are on the x axis, it helps me to think of the carrot analogy lol 🥕 the green leaf is above ground and the orange carrot is below ground (root)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771822261608600, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:43:51", "content": "I just remember that sqrt = ^(1/2) but I might have to hop on the vegetable analogy", "attachments": [], "mentions": [], "reference": null }, { "id": 1045771845594521700, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:43:57", "content": "this is pretty dope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045772718609535000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:47:25", "content": "I hope I can find a good analogy for converting logarithms to exponents and vice versa, but I think John Napier was smoking PCP when he came up with this", "attachments": [], "mentions": [ { "id": 256906999348854800, "name": "Clarkie", "discriminator": "5208", "nickname": "Clarkie", "isBot": false } ], "reference": null }, { "id": 1045773048973905900, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:48:44", "content": "dude I remember things the most messed up ways", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773120251900000, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:01", "content": "so I read left to right, and I think of the log and all the numbers as anticlockwise", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773125645775000, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:02", "content": "so like", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773137922494600, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:05", "content": "base then power then result", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773168788377700, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:12", "content": "and if you read them anti clockwise", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773188891672700, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:17", "content": "it puts them in left to right order", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773208441339900, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:49:22", "content": "idk dude its messed up", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773224010592400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:49:26", "content": "Lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773369322246400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:50:00", "content": "Yeah it really is.. and now the world is forced to suffer in John Napier’s nightmare", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773631785021400, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:51:03", "content": "from my country so extra patriotism", "attachments": [], "mentions": [], "reference": null }, { "id": 1045773776954073200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:51:37", "content": "Is he loved or hated in UK?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045774204538212400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:53:19", "content": "You in England or Scotland?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045774238352683100, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:53:27", "content": "not to sure, I dont go to the university he went to, I go to the uni the that shared the likes of Kelvin and that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045774314659643500, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:53:46", "content": "Ahh OK heheh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045774745314005000, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:55:28", "content": "Scotland :DDD", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045774771801038800, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 13:55:35", "content": "free education for now so its soo nice", "attachments": [], "mentions": [], "reference": null }, { "id": 1045775470488203400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:58:21", "content": "Wow, that is so awesome. I am reading it’s the only country in UK doing it. Wales used to pay half but stopped now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045775852966785000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 13:59:52", "content": "I’m in Canada and moved to Montreal because there is pretty big savings on tuition here for Quebec residents. Not free but it’s much cheaper than elsewhere. And housing is more affordable here too. International students pay too much sadly.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045776107686871000, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 14:00:53", "content": "yeah can't imagine paying for it, would be broke within weeks :kekw: , I guess student loans get gobbled up there", "attachments": [], "mentions": [], "reference": null }, { "id": 1045776336729411700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:01:48", "content": "Yeah for sure the student loans are 0% interest while you are studying and reasonable rate afterwards (much better than banks)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045777183886561300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:05:10", "content": "Free should be the way forward for education though. I hope more countries do this like Scotland. It’s pretty lame when you pay to go to university and math professors are terrible so you end up using free YouTube videos to learn anyways. Over 50% of our class failed the midterm, some Universities feel like the mafia where they want to keep you as a student and pay more to retake.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045777325368803300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:05:43", "content": "/ end rant", "attachments": [], "mentions": [], "reference": null }, { "id": 1045777630282133500, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:06:56", "content": "Gotta pay to play I guess.. unless living in Scotland haha. But I guess it could always be worse.. it does feel that education is in a weird place right now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045777797337059300, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 14:07:36", "content": "yeah the variety in lecturers are pretty intense, some of my physics lecturers make me fall asleep and never understand the material and others are prestigious dudes half way through an insane phd", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045778038350151800, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "11/25/2022 14:08:33", "content": "Lol you know the videos can't clear your doubts but yeah python can", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045778134672351400, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "11/25/2022 14:08:56", "content": "Oh what do you think about India 💀", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045778286564872200, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:09:33", "content": "I pickup absolutely nothing from an 8am lecture", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778377182810200, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 14:09:54", "content": ":KEK: same", "attachments": [], "mentions": [ { "id": 657007138152906800, "name": "Daark", "discriminator": "1412", "nickname": "Daark", "isBot": false } ], "reference": null }, { "id": 1045778418387660800, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:10:04", "content": "Sleep schedule is already bad with ton of homework/distractions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778431377424500, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "11/25/2022 14:10:07", "content": "Yes same I literally wasted my whole 8 hours 🥲", "attachments": [], "mentions": [ { "id": 657007138152906800, "name": "Daark", "discriminator": "1412", "nickname": "Daark", "isBot": false } ], "reference": null }, { "id": 1045778504681275500, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:10:25", "content": "I guess you could always retake if professor is of poor quality. At our university there is a deadline to withdraw before final exam you can retake without the course affecting GPA for dropping. I believe it shows up as DSC instead of F with a grade on the transcript", "attachments": [], "mentions": [ { "id": 256906999348854800, "name": "Clarkie", "discriminator": "5208", "nickname": "Clarkie", "isBot": false } ], "reference": null }, { "id": 1045778557810507900, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:10:37", "content": "^", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778605462007900, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:10:49", "content": "For us it’s W", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778645995765900, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "11/25/2022 14:10:58", "content": "Well if you don't like physics then your teacher is a criminal ☠️", "attachments": [], "mentions": [ { "id": 256906999348854800, "name": "Clarkie", "discriminator": "5208", "nickname": "Clarkie", "isBot": false } ], "reference": null }, { "id": 1045778662185766900, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:11:02", "content": "Withdraw without penalty, same concept", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778738903785500, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "11/25/2022 14:11:20", "content": "But at our university we pay again to retake haha. Scotland would be very nice for university", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778768888856700, "author_id": 657007138152906800, "author_name": "Daark", "timestamp": "11/25/2022 14:11:28", "content": "My econ teacher had such a heavy accent i couldn’t understand a word he was saying", "attachments": [], "mentions": [], "reference": null }, { "id": 1045778822982807600, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 14:11:41", "content": "ohh thats an interesting and seemingly good system, here we have a 4 year course no matter what and the first year is purely familiarity with university and the new system, so it just pass of fail and doesnt affect anything, 2 and 3 year matter quite a bit tho.", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045778925676138500, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 14:12:05", "content": "Thankfully the only thing that gets me through them is my attraction towards the subjects :kekw:", "attachments": [], "mentions": [ { "id": 518716603928543200, "name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "discriminator": "6985", "nickname": "Arnab", "isBot": false } ], "reference": null }, { "id": 1045779260503249000, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "11/25/2022 14:13:25", "content": "Same", "attachments": [], "mentions": [ { "id": 256906999348854800, "name": "Clarkie", "discriminator": "5208", "nickname": "Clarkie", "isBot": false } ], "reference": null }, { "id": 1045782514876284900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:26:21", "content": "@avidrunner Has your question been resolved?", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1045786291725402200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:41:21", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045786543954079900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:42:21", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045786623817822300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:42:40", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045786621196378100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045787796020924400, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 14:47:20", "content": "it depends on how you define increasing/decreasing. \nif you're using the derivative, you usually go with f'(x) > 0, which would exclude the the x=0 case in your example. (this is what most calc books I've seen do)\n\nWhen you start talking about monotonic function, you usually have a definition like if x<y then f(x) < f(y). Which wouldn't exclude the x=0 case in your example", "attachments": [], "mentions": [], "reference": null }, { "id": 1045788065148436500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 14:48:24", "content": "i don’t think it really depends on anything?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045788321667878900, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 14:49:25", "content": "nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045788563956056000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 14:50:23", "content": "what if you changed f(0) to be -1 or something in your example", "attachments": [], "mentions": [], "reference": null }, { "id": 1045788675243511900, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/25/2022 14:50:49", "content": "yea", "attachments": [], "mentions": [], "reference": null }, { "id": 1045788710484058200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:50:58", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045789150479143000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 14:52:43", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045791921030824000, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:03:43", "content": "Can someone confirm if this is right or not?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045791923211878500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:03:44", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045791921030824000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045794504101351400, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:13:59", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045795192558596100, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:16:43", "content": "Cmon", "attachments": [], "mentions": [], "reference": null }, { "id": 1045795757426479200, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:18:58", "content": "Are u serious rn bro", "attachments": [], "mentions": [], "reference": null }, { "id": 1045795794495754400, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:19:07", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045796612036899000, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:22:22", "content": "I guess no one coming", "attachments": [], "mentions": [], "reference": null }, { "id": 1045796628419850400, "author_id": 831156479226544100, "author_name": "Rijad", "timestamp": "11/25/2022 15:22:26", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045796630944821400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:22:26", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045796882540146800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:23:26", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045798727870328800, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:30:46", "content": "", "attachments": [ { "id": 1045798727698354300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045798727698354246/IMG_20221125_163028.jpg", "fileName": "IMG_20221125_163028.jpg", "fileSizeBytes": 220634 } ], "mentions": [], "reference": null }, { "id": 1045798730185580700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:30:47", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045798727870328800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045798755603054600, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:30:53", "content": "is this right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045799168368705700, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:32:31", "content": "for finding derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045800037747277800, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:35:59", "content": "have signs mixed up", "attachments": [], "mentions": [], "reference": null }, { "id": 1045800088913596500, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:36:11", "content": "for f(x) and g(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045800156349616100, "author_id": 196473285750292480, "author_name": "minus", "timestamp": "11/25/2022 15:36:27", "content": "wait no i dont", "attachments": [], "mentions": [], "reference": null }, { "id": 1045800691580547100, "author_id": 307914411648090100, "author_name": "Stephen", "timestamp": "11/25/2022 15:38:34", "content": "Yea looks right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045801112093069300, "author_id": 307914411648090100, "author_name": "Stephen", "timestamp": "11/25/2022 15:40:15", "content": "U coulda used log diff as well I think", "attachments": [], "mentions": [], "reference": null }, { "id": 1045803932527636600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:51:27", "content": "@minus Has your question been resolved?", "attachments": [], "mentions": [ { "id": 196473285750292480, "name": "minus", "discriminator": "7015", "nickname": "minus", "isBot": false } ], "reference": null }, { "id": 1045804061313749100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:51:58", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045804313487867900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 15:52:58", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045807814918017000, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:06:53", "content": "A factory produces cardboard boxes in the shape of a cuboid (3d rectangle). a customer requested boxes that were 1 meter long and had a volume of 2 cubic meters. what should be the dimensions of this box in order to spend the least amount of material (minimum area)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045807817233289200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 16:06:53", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045807814918017000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045807872447099000, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:07:06", "content": "its a calculus question", "attachments": [], "mentions": [], "reference": null }, { "id": 1045807950008176800, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:07:25", "content": "i cant even figure out how to start", "attachments": [], "mentions": [], "reference": null }, { "id": 1045808138659561500, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:08:10", "content": "i only know i should probably use derivatives or something like that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045809402042662900, "author_id": 272044179058720770, "author_name": "Darksider1997", "timestamp": "11/25/2022 16:13:11", "content": "does anyone have the account for https://www.turnitin.com/", "attachments": [], "mentions": [], "reference": null }, { "id": 1045809675196702700, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 16:14:16", "content": "dont take up other ppls help channel", "attachments": [], "mentions": [], "reference": null }, { "id": 1045809697904676900, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:14:22", "content": "set up two equations for surface area and volume", "attachments": [], "mentions": [ { "id": 608102681936003100, "name": "Shurank", "discriminator": "4021", "nickname": "Shurank", "isBot": false } ], "reference": null }, { "id": 1045809884039495800, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:15:06", "content": "you'll want to use volume to solve for one variable and substitute it into the surface area equation so you have an equation in one variable. \nthen take the derivative of the surface are to find the minimum", "attachments": [], "mentions": [], "reference": null }, { "id": 1045809969196454000, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:15:26", "content": "okay, i *think* i got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810064100958300, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:15:49", "content": "but like, how should i set up the equations?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810686200131700, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:18:17", "content": "what's the formula for volume of a cuboid?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810823563595900, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:18:50", "content": "length*breadth*height?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810863715651700, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:19:00", "content": "sorry english is not my first language", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810864067973100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:19:00", "content": "yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045810954639777900, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:19:21", "content": "so give those variables.", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811034939732100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:19:40", "content": "you know the box should be 1 meter long, and you know they want the volume to equal 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811153831481500, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:20:09", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811157275000800, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:20:10", "content": "OH", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811184059814000, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:20:16", "content": "is it that simple?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811274640015500, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:20:38", "content": "i think i got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045811296211316900, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:20:43", "content": "wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812387942506600, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:25:03", "content": "but like", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812429164134400, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:25:13", "content": "im missing a variable, no?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812541093318800, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:25:40", "content": "if v = x * y * z , i miss x and y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812659578228700, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 16:26:08", "content": "well", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812736195575800, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 16:26:26", "content": "thus u need to find some x y such that the volume is the one given", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812777459130400, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 16:26:36", "content": "but its the minimum amount of material used", "attachments": [], "mentions": [], "reference": null }, { "id": 1045812807381295200, "author_id": 187850624421986300, "author_name": "Circle", "timestamp": "11/25/2022 16:26:43", "content": "aka x+y is the minimum", "attachments": [], "mentions": [], "reference": null }, { "id": 1045814180327997400, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:32:10", "content": "is this it then?", "attachments": [ { "id": 1045814180105683100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045814180105683015/20221125_182837-1.jpg", "fileName": "20221125_182837-1.jpg", "fileSizeBytes": 191147 } ], "mentions": [], "reference": null }, { "id": 1045814293590986900, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:32:37", "content": "ignore the portuguese comments", "attachments": [], "mentions": [], "reference": null }, { "id": 1045815285044748400, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/25/2022 16:36:34", "content": "yes. which is why you solve for one of the variables here, given the information in the problem\nsubstitute into the surface area equation and then use calculus to minimize the surface area", "attachments": [], "mentions": [ { "id": 608102681936003100, "name": "Shurank", "discriminator": "4021", "nickname": "Shurank", "isBot": false } ], "reference": null }, { "id": 1045816654698909700, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:42:00", "content": "this will sound corny", "attachments": [], "mentions": [], "reference": null }, { "id": 1045816746331869200, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:42:22", "content": "but damn engineering is making me fall in love with math", "attachments": [], "mentions": [], "reference": null }, { "id": 1045816794805444700, "author_id": 608102681936003100, "author_name": "Shurank", "timestamp": "11/25/2022 16:42:34", "content": "thanks for the help guys", "attachments": [], "mentions": [], "reference": null }, { "id": 1045820570928943100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 16:57:34", "content": "@Shurank Has your question been resolved?", "attachments": [], "mentions": [ { "id": 608102681936003100, "name": "Shurank", "discriminator": "4021", "nickname": "Shurank", "isBot": false } ], "reference": null }, { "id": 1045820655637110800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 16:57:54", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045824513281118300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 17:13:14", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826398339743700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:20:43", "content": "i dunno how to solve this, any help?", "attachments": [ { "id": 1045826397882556500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045826397882556517/image.png", "fileName": "image.png", "fileSizeBytes": 20756 } ], "mentions": [], "reference": null }, { "id": 1045826401749712900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 17:20:44", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045826398339743700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045826523095113900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:21:13", "content": "it says: given functions are ----- and ----", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826584768151700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:21:28", "content": "find function ---- and its domain", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826731803672600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:22:03", "content": "so do you have an idea on how to start", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826873025908700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:22:37", "content": "well i know that g o f is [g(fx)]", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826958019281000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:22:57", "content": "but idk how thats calculated cuz its not just simple multiplying", "attachments": [], "mentions": [], "reference": null }, { "id": 1045826978521043100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:23:02", "content": "theres something else going on", "attachments": [], "mentions": [], "reference": null }, { "id": 1045827387922841600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:24:39", "content": "lets say f(x) = 2x and g(x) = 7x\n\nif your value for x is 3 and you plug it in \n [g(f(x)] =[g(f(3))] = [g(6)] =42", "attachments": [], "mentions": [], "reference": null }, { "id": 1045827518923550800, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:25:11", "content": "yeah but i dont have a set value x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045827524082548900, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:25:12", "content": "its chaining up 2 functions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045827597587718100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:25:29", "content": "wait i have it solved in my notebook but i dont understand it at all", "attachments": [], "mentions": [], "reference": null }, { "id": 1045827965050683400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:26:57", "content": "", "attachments": [ { "id": 1045827964534796400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045827964534796398/IMG_20221125_232615.jpg", "fileName": "IMG_20221125_232615.jpg", "fileSizeBytes": 456436 } ], "mentions": [], "reference": null }, { "id": 1045827969521828000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:26:58", "content": "that's not a problem", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045828506313031700, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:29:06", "content": "so do you know how you build the inverse function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828520275882000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:29:09", "content": "so i understood how to get x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828562000818300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:29:19", "content": "but idk how to get f on -1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828671975469000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:29:45", "content": "why is it multiplyed by -y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828683513987100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:29:48", "content": "f^-1 is your inverse function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828717122945200, "author_id": 956735770964688900, "author_name": "John Himothy", "timestamp": "11/25/2022 17:29:56", "content": "how is tan(u)-tan(v)= sin(u-v)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045828812312694900, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:30:19", "content": "https://discord.com/channels/268882317391429632/488120190538743810", "attachments": [], "mentions": [ { "id": 956735770964688900, "name": "John Himothy", "discriminator": "3236", "nickname": "John Himothy", "isBot": false } ], "reference": null }, { "id": 1045829006823530500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:31:05", "content": "so in this case 2x-3/x-4 to the power of -1 is my f to the power of -1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829061458530400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:31:18", "content": "but its not the same", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829100352319600, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:31:28", "content": "if that was the case only + and - would change", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829122259165200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:31:33", "content": "do you know how to build the inverse function for lets say\n\ny = 2x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829187589640200, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:31:48", "content": "nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829272524292200, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:32:09", "content": "do i just add the power of -1 to both sides?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829761764692100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:34:05", "content": "so what you need to now is that", "attachments": [ { "id": 1045829761403990100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045829761403990087/12313.PNG", "fileName": "12313.PNG", "fileSizeBytes": 6046 } ], "mentions": [], "reference": null }, { "id": 1045829805364490200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:34:16", "content": "that is what the inverse function does", "attachments": [], "mentions": [], "reference": null }, { "id": 1045829850616840200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:34:26", "content": "where und means and", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830239604986000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:35:59", "content": "for your inverse function you solve for write your function in terms of x", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045830428667412500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:36:44", "content": "usually we use the notation y=ax^n+bx^n-1 .... for polynomials", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830588122288300, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:37:22", "content": "your inverse function is x in terms of y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830664093696100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:37:40", "content": "sry bro you lost me its super complicated", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830738441945100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:37:58", "content": "okay lets make it simpler", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830814237196300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:38:16", "content": "on my task what should i do next? i have to inverse the 2x-3/x-4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830878871437400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:38:32", "content": "how do i do that", "attachments": [], "mentions": [], "reference": null }, { "id": 1045830950371733800, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:38:49", "content": "but without x^a substitues just in the case of my task", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831181842792400, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:39:44", "content": "your solution is correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831225752956900, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:39:54", "content": "you solve for x and thats your f^-1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831276516618200, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:40:06", "content": "yes i copied it in uni a while back, but i dont remember anything abt it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831413913620500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:40:39", "content": "professor was going really fast and i didnt even understand the point before that so i was just mindlessly writting", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831554099855500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:41:13", "content": "what does it mean to solve for x", "attachments": [], "mentions": [ { "id": 279217052521201660, "name": "tobi.", "discriminator": "3826", "nickname": "tobi.", "isBot": false } ], "reference": null }, { "id": 1045831598899216400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:41:23", "content": "i dont really know english math terms its not my main language", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831664707850400, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:41:39", "content": "is your main language german", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831693896011800, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:41:46", "content": "no :/", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831713701515400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:41:51", "content": "Croatian", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831789186396200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:42:09", "content": "y = 2x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831800540385300, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:42:11", "content": "is solved for y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831862079197200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:42:26", "content": "which would be \nx = y/2 solved for x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045831969767960700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:42:52", "content": "ahh i see", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832007181144200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:43:01", "content": "and thats your inverse function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832074151592000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:43:17", "content": "just switching the unknown variable to the front of equation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832122973311100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:43:28", "content": "but how do i do that inverse with -1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832325923094700, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:44:17", "content": "you solved for x here", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045832376011473000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:44:29", "content": "and what you get at the end is your inverse function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832423453229000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:44:40", "content": "the -1 just means inverse function", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832439085404200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:44:44", "content": "not to the power of", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832490348200000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:44:56", "content": "in this case", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832745819046000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:45:57", "content": "ah so i solved the y=2x-3/x-4 by putting x's to the front", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832818862850000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:46:14", "content": "just multiplying both sides with x-4", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832893450162200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:46:32", "content": "you had this\ny=2x-3/x-4\n\nand at the end you wanted\n\nx= ....", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832927432421500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:46:40", "content": "yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832941202321500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:46:43", "content": "got it now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045832970403074200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:46:50", "content": "ok nice", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833037381894300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:47:06", "content": "so inverse function just means that i have to find the solution for the other variable", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833201458880600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:47:45", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833254411972600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:47:58", "content": "inverse function of e^x is ln(x) btw", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833366135640000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:48:25", "content": "y=3x y^-1=3x = x=1/3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833449795227600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:48:45", "content": "visually this means to flip the function by y=x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833574873579500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:49:14", "content": "", "attachments": [ { "id": 1045833574550614100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045833574550614096/exx.PNG", "fileName": "exx.PNG", "fileSizeBytes": 84786 } ], "mentions": [], "reference": null }, { "id": 1045833609354956900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:49:23", "content": "okok got that now for solving gof^-1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833814158610600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:50:11", "content": "yeah so gof^-1 = g(f^-1(x))", "attachments": [], "mentions": [], "reference": null }, { "id": 1045833939073388500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:50:41", "content": "and how do i find the solution for that?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834017385238500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:51:00", "content": "yeah so what is f^-1(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834094224875500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:51:18", "content": "4y-3/y-2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834143474405400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:51:30", "content": "multiply that with g?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834284935696500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:52:04", "content": "well you usually still use x as variable even tho you solved for it", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045834354158481500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:52:20", "content": "ah so i get another x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834356352102500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:52:21", "content": "f^-1(x)=4x-3/x-2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834363889266700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:52:23", "content": "out of it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834470751744000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:52:48", "content": "well no solution here is ln", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834497825980500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:52:54", "content": "how did ln happen out of nowhere", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834705100091500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:53:44", "content": "if f^-1(x)=(4x-3)/(x-2) then gof^-1 = g((4x-3)/(x-2)) right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045834869122543600, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:54:23", "content": "wait its complicated in discord form imma write it myself on paper", "attachments": [], "mentions": [], "reference": null }, { "id": 1045835456878760000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:56:43", "content": "yep got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045835574730305700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:57:11", "content": "now to calculate it with the g in front", "attachments": [], "mentions": [], "reference": null }, { "id": 1045835690275000300, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:57:39", "content": "yeah g=ln(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045835715180761200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:57:45", "content": "and now your x is what?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836023172706300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 17:58:58", "content": "ahh i see so g is the logarythm of x solution from 4x-3/x-2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836129380868200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 17:59:23", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836294909083600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:00:03", "content": "maybe it helps to think of gof \nas doing multiple operations in a row", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836365402755100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:00:20", "content": "yeah but when i try to get X i get stuck with xy as part of the solution", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836440543711400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:00:38", "content": "oh wait nvm", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836481253625900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:00:47", "content": "i equaled it with y instead of 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836783377715300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:01:59", "content": "x=3/4 right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045836819624902700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:02:08", "content": "so g = ln(3/4)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045837248517644400, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:03:50", "content": "thats not correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1045837405078433900, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:04:28", "content": "if you would for exmaple have f(x)=2x and g(x)=x^2\n\nf(g(x)) = f(x^2) = 2*x^2\n\nwith f(x)=x and g(x)=x^2\nf(g(x)) = f(x^2) = x^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045837799456243800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:06:02", "content": "or in your case g(f^-1(x)) = g(4x-3/x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045837818817171600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:06:06", "content": "so what would it be?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045838580095926400, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:09:08", "content": "f(g(x)) = f(x^2) is this still reasonable for you", "attachments": [], "mentions": [], "reference": null }, { "id": 1045838740356092000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:09:46", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045838851647738000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:10:12", "content": "so now every x that you find in f(x) you change it with x^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839417400623100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:12:27", "content": "f(x) = 3x \n\nmeans that for every input in f(x) it gives you 3 times the output right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839549332471900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:12:59", "content": "sry bro lost me again its so difficult to explain it on discord with limited algebra writing capabilities", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839609847873500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:13:13", "content": "i get lost in a second", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839757768405000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:13:49", "content": "f(x) = 3x \n\nmeans that \n\nf(1) = 3\nf(2) = 6\nand so on right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839843214758000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:14:09", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839893693214800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:14:21", "content": "your input is f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045839920817774600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:14:27", "content": "and your output is 3x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840016309498000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:14:50", "content": "yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840168269119600, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:15:26", "content": "but in our example the input changes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840260392829000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:15:48", "content": "ahh i think i understand wait lemme write something down", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840742012174500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:17:43", "content": "f(x^2) = x^2\nwould mean that for every input you get the same output", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840799407034500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:17:57", "content": "", "attachments": [ { "id": 1045840799197307000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045840799197306970/IMG_20221126_001738.jpg", "fileName": "IMG_20221126_001738.jpg", "fileSizeBytes": 262346 } ], "mentions": [], "reference": null }, { "id": 1045840808366067700, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:17:59", "content": "the easiest case is f(x) = x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045840819652939900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:18:02", "content": "is this correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841105209544800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:19:10", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841154597474400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:19:22", "content": "then i think i understand it now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841195538059400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:19:31", "content": "at least that part", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841214756360300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:19:36", "content": "back to our task then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841323955065000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:20:02", "content": "", "attachments": [ { "id": 1045841323736977500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045841323736977488/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 10609614 } ], "mentions": [], "reference": null }, { "id": 1045841477709877200, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:20:39", "content": "so those down are just conditions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841478888464500, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:20:39", "content": "gof^-1 = g((4x-3)/(x-2))", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841558651535400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:20:58", "content": "and g is ln", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841625462608000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:21:14", "content": "so thats ln (4x-3/x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841689018912800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:21:29", "content": "ye", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841728097243300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:21:38", "content": "oks got that part", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841739920986200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:21:41", "content": "that was your first question right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841855792808000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:22:09", "content": "yeah the second part is establishing the domain in which this fused function is in", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841876445565000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:22:14", "content": "based on several conditions", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841935870472200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:22:28", "content": "so when is the ln(x) defined", "attachments": [], "mentions": [], "reference": null }, { "id": 1045841942203859100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:22:29", "content": "like the number under root or ln cant be negative i believe", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842090556412000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:23:05", "content": "in ln(x) x cant be negative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842174580904000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:23:25", "content": "yeah and 0 is also undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842241467453400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:23:41", "content": "yeo", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842277458784400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:23:49", "content": "the number under the root cant be negative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842414037901400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:24:22", "content": "and the outcome of lower part of a fraction also cannot be negative", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842428957044700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:24:25", "content": "theres a few more", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842555494998100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:24:56", "content": "i believe i figured this task out then", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842591289180200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:25:04", "content": "you prob mean under the fraction", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045842690014728300, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:25:28", "content": "this is a root", "attachments": [ { "id": 1045842689704345600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045842689704345611/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 4267 } ], "mentions": [], "reference": null }, { "id": 1045842802640163000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:25:54", "content": "under the root too because this happens in racional collective of numbers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842867660279900, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:26:10", "content": "if i put a negative number under a root then it would give me a solution with i", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842907002843300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:26:19", "content": "and thats irrational collective", "attachments": [], "mentions": [], "reference": null }, { "id": 1045842988569460700, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:26:39", "content": "but where do you even have a root in your example", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843085600501800, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:27:02", "content": "not in this one specificly but in others", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843094295302100, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:27:04", "content": "it appears", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843117670142000, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:27:10", "content": "ye okay", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843137953812500, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:27:14", "content": "here the lower part of a fraction has to be positive", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843144018759700, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:27:16", "content": "that's true", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843250637983700, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:27:41", "content": "and if the lower part is lets say x-2 then x cant be 2 because that would make the solution 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843273811497000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:27:47", "content": "and the lower part must never be 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843430502314100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:28:24", "content": "yeah don't divide by 0\nBad things will happen if you do that xD", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843451587068000, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:28:29", "content": "so you set intervals from [-infinity,+ infinity] and exclude all numbers that it cannot be", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843509866926200, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:28:43", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843543366840300, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:28:51", "content": "alright i got it now", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843579345588400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:29:00", "content": "thx for ur help and patience 🙂", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843922984902800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:30:22", "content": "np I am also taking an analysis course at my uni atm so it helps me to refresh what I learned some weeks ago", "attachments": [], "mentions": [], "reference": null }, { "id": 1045843963736752100, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:30:31", "content": "have a good one", "attachments": [], "mentions": [], "reference": null }, { "id": 1045844106284388400, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:31:05", "content": "you can close this channel with .close so that other people can use it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045844245006798800, "author_id": 279217052521201660, "author_name": "tobi.", "timestamp": "11/25/2022 18:31:38", "content": "@DJ Krmak", "attachments": [], "mentions": [ { "id": 631138581523595300, "name": "DJ Krmak", "discriminator": "9258", "nickname": "DJ Krmak", "isBot": false } ], "reference": null }, { "id": 1045844528600461400, "author_id": 631138581523595300, "author_name": "DJ Krmak", "timestamp": "11/25/2022 18:32:46", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1045844531469369300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 18:32:47", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045844784071327900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 18:33:47", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045845545270386800, "author_id": 881234840488407000, "author_name": "ratio", "timestamp": "11/25/2022 18:36:48", "content": "I don't know how to do this", "attachments": [ { "id": 1045845544939040900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045845544939040868/Screen_Shot_2022-11-25_at_6.35.43_PM.png", "fileName": "Screen_Shot_2022-11-25_at_6.35.43_PM.png", "fileSizeBytes": 136322 } ], "mentions": [], "reference": null }, { "id": 1045845549288529900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 18:36:49", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045845545270386800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045845572751462400, "author_id": 881234840488407000, "author_name": "ratio", "timestamp": "11/25/2022 18:36:55", "content": "Do I create an equation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045845808785936400, "author_id": 256906999348854800, "author_name": "Clarkie", "timestamp": "11/25/2022 18:37:51", "content": "Can do", "attachments": [], "mentions": [], "reference": null }, { "id": 1045848175505842300, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/25/2022 18:47:15", "content": "drawing a picture should help", "attachments": [], "mentions": [ { "id": 881234840488407000, "name": "ratio", "discriminator": "7711", "nickname": "ratio", "isBot": false } ], "reference": null }, { "id": 1045849434740772900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 18:52:16", "content": "@ratio Has your question been resolved?", "attachments": [], "mentions": [ { "id": 881234840488407000, "name": "ratio", "discriminator": "7711", "nickname": "ratio", "isBot": false } ], "reference": null }, { "id": 1045853211396935700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:07:16", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033784597386895400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 12:50:54", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785488554873000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:54:27", "content": "", "attachments": [ { "id": 1033785488294805500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033785488294805524/IMG_0270.png", "fileName": "IMG_0270.png", "fileSizeBytes": 311855 } ], "mentions": [], "reference": null }, { "id": 1033785491117588500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 12:54:27", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033785488554873000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033785624353845400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:54:59", "content": "Is there ever a case where multiplying 0 can give the wrong answer?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785678149996700, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 12:55:12", "content": "wrong answer in what way?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785696281960400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:55:16", "content": "Maybe not with this example but another one you can think of", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785724216021000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:55:23", "content": "LHS = RHS", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785769141227500, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "10/23/2022 12:55:34", "content": "well multiplying by 0 is essentially always useless", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785798765592700, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "10/23/2022 12:55:41", "content": "you will just be left with 0=0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785815593124000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:55:45", "content": "But it will change the other side", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785848518426800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:55:53", "content": "Or square root of 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785866738479200, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 12:55:57", "content": "sqrt(0) = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785891879125000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:56:03", "content": "Or some other operation", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785962658021500, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 12:56:20", "content": "if f is a function and a = b then f(a) = f(b)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785988360704000, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 12:56:26", "content": "f could be any operation here, like multiplying by 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1033785992915730400, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 12:56:27", "content": "or adding 3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786003829301200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:56:30", "content": "Trying to think of something that would mess up LHS = RHS when 0 is on one side", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786097072881700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:56:52", "content": "Can you think of any?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786105868320900, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "10/23/2022 12:56:54", "content": "there is nothing special about 0 in that regard", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786215989780500, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "10/23/2022 12:57:20", "content": "as long as whatever you wanna do is defined for both sides", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786450229072000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:58:16", "content": "So let’s say 0 constant is the only thing on the RHS of an equation … you can do anything you dream of to LHS and RHS you will still get 0 on RHS. 100% of the time no matter what?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786589110861800, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 12:58:49", "content": "Unless the operation you do is undefined for 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786612527665300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 12:58:55", "content": "x = 0 add 1 to both sides you get x+1 = 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786630651265200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 12:58:59", "content": "thats not 0 on the RHS", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786634103169200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 12:59:00", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786762096545800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 12:59:30", "content": "0 is one of those nuclear options where it will do anything to 0 it will always be 0. The only thing I can think of is dividing 0 by 0 as that is not allowed", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786791066615900, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 12:59:37", "content": "0 is not an operation.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786827800330400, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "10/23/2022 12:59:46", "content": "adding 1 to 0 does not give 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033786901016105200, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:00:04", "content": "You can't take the log of 0 either.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787032272642200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:00:35", "content": "Right I mean if you see a 0 all on it’s own on one side of the equation ..", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787059741151200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:00:41", "content": "hmmm so log is not allowed for 0?", "attachments": [], "mentions": [ { "id": 373884980977336300, "name": "Remavas", "discriminator": "3737", "nickname": "Remavas", "isBot": false } ], "reference": null }, { "id": 1033787075675291800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:00:45", "content": "Anything else?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787250288365700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:01:27", "content": "log 0 and division with 0, is all I can think of", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787352931389600, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:01:51", "content": "And not every operation will keep the RHS zero", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787373915471900, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:01:56", "content": "Yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787488675827700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:02:24", "content": "I guess multiplication.. and rooting. And positive powers above 0. And dividing by non 0", "attachments": [], "mentions": [ { "id": 373884980977336300, "name": "Remavas", "discriminator": "3737", "nickname": "Remavas", "isBot": false } ], "reference": null }, { "id": 1033787577754472600, "author_id": 391270706186420200, "author_name": "illuminator3", "timestamp": "10/23/2022 13:02:45", "content": "x = 0\nk^x = k^0 \nk^x = 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787662240325800, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:03:05", "content": "Positive exponents*", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787684306563200, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:03:10", "content": "Negative exponents are undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787709388496900, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:03:16", "content": "And 0^0 is also undefined.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787710499991700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:03:17", "content": "Oh right", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787901873488000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:04:02", "content": "0^(-1) is undefined?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787957187973100, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:04:15", "content": "what does x^(-1) mean?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787971113078900, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:04:19", "content": "it means 1/x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787986824921200, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:04:22", "content": "1/x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033787999453987000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:04:25", "content": "Right", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788028528906400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:04:32", "content": "So 1/0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788080894787600, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:04:45", "content": "Is another word can’t remember", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788177036619800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:05:08", "content": "Oh I’m thinking of that word for 0/0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788201208381600, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:05:14", "content": "1/0 is undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788221928263700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:05:18", "content": "0/0 is ….", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788320121110700, "author_id": 373884980977336300, "author_name": "Remavas", "timestamp": "10/23/2022 13:05:42", "content": "you're probably thinking of indeterminate", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788352920559700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:05:50", "content": "Yes thats it thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788828911161300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:07:43", "content": "bad usage of the word indeterminate", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788843561853000, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:07:47", "content": "0/0 is simply undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788856803266700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:07:50", "content": "These are the only operations allowed for the constant 0 to remain 0?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788975007158400, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:08:18", "content": "in a limiting situation where you get something that behaves like 0/0 then you would call it indeterminate", "attachments": [], "mentions": [], "reference": null }, { "id": 1033788987527143600, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:08:21", "content": "My uni professor says 0/0 is indeterminate not undefined. 1/0 is undefined", "attachments": [], "mentions": [ { "id": 118663865264242690, "name": "夢雪", "discriminator": "2250", "nickname": "snow", "isBot": false } ], "reference": null }, { "id": 1033789018770505700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:08:28", "content": "that is bad usage", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789032175513700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:08:32", "content": "0/0 is undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789092493787300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:08:46", "content": "Oh so only for calculus?", "attachments": [], "mentions": [ { "id": 118663865264242690, "name": "夢雪", "discriminator": "2250", "nickname": "snow", "isBot": false } ], "reference": null }, { "id": 1033789125674946700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:08:54", "content": "for *limits*", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789145375584400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:08:59", "content": "Confusing", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789217890902100, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:09:16", "content": "How it depends on context for vocabulary usage", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789308877951100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:09:38", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789337483083900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:09:44", "content": "it does not depend on context", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789361323516000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:09:50", "content": "Why is 1/0 not indeterminate for limits too?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789390733979800, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:09:57", "content": "you would never evaluate 0/0 in a limit", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789471369461900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:10:16", "content": "0/0 is always undefined for real numbers", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789474099961900, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:10:17", "content": "1/0 is only undefined right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789586834456700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:10:44", "content": "Wait so 1/0 is indeterminate for limits?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789606765789400, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:10:49", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789638390845600, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:10:56", "content": "Weird lol..", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789658133446700, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:11:01", "content": "I need to study this more", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789749560877200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:11:23", "content": "saying 0/0 is indeterminate is an extreme shorthand for saying", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789870876917800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:11:52", "content": "For 0/0 are we talking about vertical asymptotes or is it different?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033789992494977200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 13:12:21", "content": "", "attachments": [ { "id": 1033789992624980100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033789992624980080/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 53731 } ], "mentions": [], "reference": null }, { "id": 1033790011864268800, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:12:25", "content": "that is what 0/0 being indeterminate really means", "attachments": [], "mentions": [], "reference": null }, { "id": 1033790127102767100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:12:53", "content": "0/0 in any other context is simply undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033790279385358300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:13:29", "content": "https://tenor.com/view/dude-white-russian-confused-gif-20356101", "attachments": [], "mentions": [], "reference": null }, { "id": 1033790419978428400, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:14:03", "content": "I look forward to learning this", "attachments": [], "mentions": [], "reference": null }, { "id": 1033790465427918800, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:14:13", "content": "Professor Leonard Calc 1 video coming up", "attachments": [], "mentions": [], "reference": null }, { "id": 1033790768839663600, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:15:26", "content": "I am going in this order for Professor Leonard playlists:\nPrealgebra (finished)\nTo the Point Math\nPrecalculus\nCalculus 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1033791150403891300, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:16:57", "content": "I am so glad I reviewed Prealgebra even though it is super basic stuff it’s still good to review it. I like his spiral approach to learning, spend 15 minutes reviewing previous sections before going into new section", "attachments": [], "mentions": [], "reference": null }, { "id": 1033791390292910100, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:17:54", "content": "And work on test study package as soon as possible if the professor gives one", "attachments": [], "mentions": [], "reference": null }, { "id": 1033791706270810100, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:19:09", "content": "Do new homework with reviewing lecture notes if necessary. Expect to not answer everything that’s still new perfectly. Then try answering again without using any notes.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033791868552618000, "author_id": 313298495417221100, "author_name": "avidrunner", "timestamp": "10/23/2022 13:19:48", "content": "Do you use Quizlet for math? Wondering if there is a good site that helps with math studies", "attachments": [], "mentions": [], "reference": null }, { "id": 1033792837650751600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:23:39", "content": "idk how youd even use quizlet for maths", "attachments": [], "mentions": [], "reference": null }, { "id": 1033792951681286300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:24:06", "content": "learning maths is more about solving problems actively with your own hands", "attachments": [], "mentions": [], "reference": null }, { "id": 1033793002298159200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:24:18", "content": "doing lots of problems will do you more good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033793219135275100, "author_id": 309334214304727040, "author_name": "AngeryChickenLord", "timestamp": "10/23/2022 13:25:10", "content": "when you approach x->0 in 1/x, you're asking the question how many 0's do i need to subtract from 1 to finally reach 0", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1033793235463717000, "author_id": 309334214304727040, "author_name": "AngeryChickenLord", "timestamp": "10/23/2022 13:25:14", "content": "the answer is infinity", "attachments": [], "mentions": [], "reference": null }, { "id": 1033795644734836700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 13:34:48", "content": "@avidrunner Has your question been resolved?", "attachments": [], "mentions": [ { "id": 313298495417221100, "name": "avidrunner", "discriminator": "5872", "nickname": "avidrunner", "isBot": false } ], "reference": null }, { "id": 1033795892492390400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 13:35:47", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045853463478812700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:08:16", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045854906189357200, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:14:00", "content": "Given that |A| = 100, |B| = 50 and |C| = 48,\nThe amount of elements in exactly one set is double the amount of elements in exactly two sets,\nThe amount of elements in exactly one set is triple the amount of elements in exactly three sets,\n\nHow many elements are in exactly three sets?", "attachments": [], "mentions": [], "reference": null }, { "id": 1045854908299083900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:14:01", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045854906189357200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045854961596125200, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:14:13", "content": "I have tried all tricks I know", "attachments": [], "mentions": [], "reference": null }, { "id": 1045855068852850700, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:14:39", "content": "How can I even calculate this when I do not even know the intersection of A and B", "attachments": [], "mentions": [], "reference": null }, { "id": 1045855094165483500, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:14:45", "content": "Please enlighten me", "attachments": [], "mentions": [], "reference": null }, { "id": 1045858870121205900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:29:45", "content": "@Byamba Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1022877084676276200, "name": "Byamba", "discriminator": "0909", "nickname": "Byamba", "isBot": false } ], "reference": null }, { "id": 1045859021904691200, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:30:21", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045862646534115300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:44:46", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045864294203523100, "author_id": 1022877084676276200, "author_name": "Byamba", "timestamp": "11/25/2022 19:51:18", "content": ".reopen", "attachments": [], "mentions": [], "reference": null }, { "id": 1045864305230364800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 19:51:21", "content": "✅", "attachments": [], "mentions": [], "reference": null }, { "id": 1045868081014116500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 20:06:21", "content": "@Byamba Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1022877084676276200, "name": "Byamba", "discriminator": "0909", "nickname": "Byamba", "isBot": false } ], "reference": null }, { "id": 1045876546491125900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 20:40:00", "content": "@Byamba Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1022877084676276200, "name": "Byamba", "discriminator": "0909", "nickname": "Byamba", "isBot": false } ], "reference": null }, { "id": 1045893188667330700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 21:46:07", "content": "@Byamba Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1022877084676276200, "name": "Byamba", "discriminator": "0909", "nickname": "Byamba", "isBot": false } ], "reference": null }, { "id": 1045894433327030400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 21:51:04", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045894686008672300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 21:52:04", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045896232867991700, "author_id": 823925141552758800, "author_name": "mirul²", "timestamp": "11/25/2022 21:58:13", "content": "", "attachments": [ { "id": 1045896232624738300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045896232624738324/Screenshot_20221126_105608_com.whatsapp.jpg", "fileName": "Screenshot_20221126_105608_com.whatsapp.jpg", "fileSizeBytes": 51790 } ], "mentions": [], "reference": null }, { "id": 1045896235434913800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 21:58:14", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045896232867991700, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045896296688521200, "author_id": 823925141552758800, "author_name": "mirul²", "timestamp": "11/25/2022 21:58:28", "content": "i cant find the 3rd equation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045897708700958700, "author_id": 1035917542792908800, "author_name": "kchhdjjbceehhdgj", "timestamp": "11/25/2022 22:04:05", "content": "Let the digits be x y and z", "attachments": [], "mentions": [], "reference": null }, { "id": 1045897791492337700, "author_id": 1035917542792908800, "author_name": "kchhdjjbceehhdgj", "timestamp": "11/25/2022 22:04:25", "content": "The number is 100x+10y+z", "attachments": [], "mentions": [], "reference": null }, { "id": 1045897828335091700, "author_id": 1035917542792908800, "author_name": "kchhdjjbceehhdgj", "timestamp": "11/25/2022 22:04:34", "content": "On reversing", "attachments": [], "mentions": [], "reference": null }, { "id": 1045897904998580400, "author_id": 1035917542792908800, "author_name": "kchhdjjbceehhdgj", "timestamp": "11/25/2022 22:04:52", "content": "The number is 100z+10y+x", "attachments": [], "mentions": [], "reference": null }, { "id": 1045897912862904300, "author_id": 1035917542792908800, "author_name": "kchhdjjbceehhdgj", "timestamp": "11/25/2022 22:04:54", "content": "Ig", "attachments": [], "mentions": [], "reference": null }, { "id": 1045900074082898000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 22:13:29", "content": "@mirul² Has your question been resolved?", "attachments": [], "mentions": [ { "id": 823925141552758800, "name": "mirul²", "discriminator": "0850", "nickname": "mirul²", "isBot": false } ], "reference": null }, { "id": 1045900727312203800, "author_id": 823925141552758800, "author_name": "mirul²", "timestamp": "11/25/2022 22:16:05", "content": "lemme try", "attachments": [], "mentions": [], "reference": null }, { "id": 1045900995462451200, "author_id": 823925141552758800, "author_name": "mirul²", "timestamp": "11/25/2022 22:17:09", "content": "wow you're right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045901011258187800, "author_id": 823925141552758800, "author_name": "mirul²", "timestamp": "11/25/2022 22:17:12", "content": "thanks a lot", "attachments": [], "mentions": [], "reference": null }, { "id": 1045901017667080200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 22:17:14", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045902820529950700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 22:24:24", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045903179537203200, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:25:49", "content": "", "attachments": [ { "id": 1045903179314901100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045903179314901103/Screenshot_20221125-202138_Office.jpg", "fileName": "Screenshot_20221125-202138_Office.jpg", "fileSizeBytes": 29759 } ], "mentions": [], "reference": null }, { "id": 1045903182406094800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 22:25:50", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045903179537203200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1045903224361713700, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:26:00", "content": "I only need the table of values", "attachments": [], "mentions": [], "reference": null }, { "id": 1045903344620818400, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:26:29", "content": "Vertex is 1,1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045903505174560900, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:27:07", "content": "", "attachments": [ { "id": 1045903505002602500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045903505002602496/Screenshot_20221126-112640.jpg", "fileName": "Screenshot_20221126-112640.jpg", "fileSizeBytes": 3190 } ], "mentions": [], "reference": null }, { "id": 1045903528218087400, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:27:13", "content": "This is vertex form", "attachments": [], "mentions": [], "reference": null }, { "id": 1045903576771338200, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:27:24", "content": "I only need the table of values", "attachments": [], "mentions": [], "reference": null }, { "id": 1045906965861244900, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 22:40:52", "content": "If you know the vertex is at x=1, plug in values around 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907027022598100, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 22:41:07", "content": "Like x = -1, 0, 1, 2, 3", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907076871889000, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:41:19", "content": "Ohh i see", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907083201097700, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:41:20", "content": "Ty", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907273601531900, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 22:42:06", "content": "No problem 👍", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907659179692200, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:43:37", "content": "What about the y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907809948139600, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:44:13", "content": "How do i find the values of y", "attachments": [], "mentions": [], "reference": null }, { "id": 1045907968039854100, "author_id": 490649542077841400, "author_name": "tatpoj", "timestamp": "11/25/2022 22:44:51", "content": "Plug those x values into the equation", "attachments": [], "mentions": [], "reference": null }, { "id": 1045908648511156200, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 22:47:33", "content": "How", "attachments": [], "mentions": [], "reference": null }, { "id": 1045912424252985300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 23:02:34", "content": "@rotnso Has your question been resolved?", "attachments": [], "mentions": [ { "id": 935834609906778100, "name": "rotnso", "discriminator": "1623", "nickname": "rotnso", "isBot": false } ], "reference": null }, { "id": 1045912544621117400, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 23:03:02", "content": "", "attachments": [ { "id": 1045912544461717500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045912544461717544/Screenshot_20221126-120239_Photo_Editor.jpg", "fileName": "Screenshot_20221126-120239_Photo_Editor.jpg", "fileSizeBytes": 56610 } ], "mentions": [], "reference": null }, { "id": 1045912557753466900, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 23:03:05", "content": "Is this right", "attachments": [], "mentions": [], "reference": null }, { "id": 1045920108456968200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/25/2022 23:33:06", "content": "@rotnso Has your question been resolved?", "attachments": [], "mentions": [ { "id": 935834609906778100, "name": "rotnso", "discriminator": "1623", "nickname": "rotnso", "isBot": false } ], "reference": null }, { "id": 1045921021364019200, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/25/2022 23:36:43", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045936121995071600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 00:36:44", "content": "@rotnso Has your question been resolved?", "attachments": [], "mentions": [ { "id": 935834609906778100, "name": "rotnso", "discriminator": "1623", "nickname": "rotnso", "isBot": false } ], "reference": null }, { "id": 1045936199962988500, "author_id": 935834609906778100, "author_name": "rotnso", "timestamp": "11/26/2022 00:37:02", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1045939155970043900, "author_id": 1045852667915796600, "author_name": "! Promi !", "timestamp": "11/26/2022 00:48:47", "content": "the values of $y$ can be calculated by plugging in values for $x$", "attachments": [], "mentions": [ { "id": 935834609906778100, "name": "rotnso", "discriminator": "1623", "nickname": "rotnso", "isBot": false } ], "reference": null }, { "id": 1045939470333124600, "author_id": 1045852667915796600, "author_name": "! Promi !", "timestamp": "11/26/2022 00:50:02", "content": "For example when $x = 1$ $y$ will be \n$y = -(1 - 1)^2 + 1 = 0 + 1 = 1$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045939480445603800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 00:50:04", "content": "**! Promi !**", "attachments": [ { "id": 1045939480625942700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045939480625942639/1045852667915796600.png", "fileName": "1045852667915796600.png", "fileSizeBytes": 15590 } ], "mentions": [], "reference": null }, { "id": 1045939566785335300, "author_id": 1045852667915796600, "author_name": "! Promi !", "timestamp": "11/26/2022 00:50:25", "content": "Do the same for other values of $x$", "attachments": [], "mentions": [], "reference": null }, { "id": 1045939576008609800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 00:50:27", "content": "**! Promi !**", "attachments": [ { "id": 1045939575853428700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045939575853428796/1045852667915796600.png", "fileName": "1045852667915796600.png", "fileSizeBytes": 9795 } ], "mentions": [], "reference": null }, { "id": 1045939745139732500, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 00:51:07", "content": "**! Promi !**", "attachments": [ { "id": 1045939745303314400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1045939745303314452/1045852667915796600.png", "fileName": "1045852667915796600.png", "fileSizeBytes": 17781 } ], "mentions": [], "reference": null }, { "id": 1045966399899701400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 02:37:02", "content": "@rotnso Has your question been resolved?", "attachments": [], "mentions": [ { "id": 935834609906778100, "name": "rotnso", "discriminator": "1623", "nickname": "rotnso", "isBot": false } ], "reference": null }, { "id": 1045996600788533400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 04:37:03", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1045996853059133400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 04:38:03", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1045999591608287400, "author_id": 660167035984019500, "author_name": "alex_123", "timestamp": "11/26/2022 04:48:56", "content": "Can anyone help me with heat capacity because I don't understand it", "attachments": [], "mentions": [], "reference": null }, { "id": 1045999594376532000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 04:48:57", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1045999591608287400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046001175247462500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 04:55:13", "content": "i can't but you can just post your question 🙂", "attachments": [], "mentions": [], "reference": null }, { "id": 1046001358907642000, "author_id": 660167035984019500, "author_name": "alex_123", "timestamp": "11/26/2022 04:55:57", "content": "That's what I have been given and I need to calculate C", "attachments": [ { "id": 1046001358618251300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046001358618251274/image.png", "fileName": "image.png", "fileSizeBytes": 20803 } ], "mentions": [], "reference": null }, { "id": 1046001561291194400, "author_id": 660167035984019500, "author_name": "alex_123", "timestamp": "11/26/2022 04:56:45", "content": "That's the solution and I really don't know why he took 1kj/kgK instead of two like the value is given", "attachments": [ { "id": 1046001560989212700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046001560989212702/image.png", "fileName": "image.png", "fileSizeBytes": 19575 } ], "mentions": [], "reference": null }, { "id": 1046005337221759100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 05:11:46", "content": "@alex_123 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 660167035984019500, "name": "alex_123", "discriminator": "1389", "nickname": "alex_123", "isBot": false } ], "reference": null }, { "id": 1046012942908403800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 05:41:59", "content": "@alex_123 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 660167035984019500, "name": "alex_123", "discriminator": "1389", "nickname": "alex_123", "isBot": false } ], "reference": null }, { "id": 1046020494534639600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 06:12:00", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046023787658870800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 06:25:05", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046028829979848800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:45:07", "content": "", "attachments": [ { "id": 1046028829765943300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046028829765943360/20221126_124206.jpg", "fileName": "20221126_124206.jpg", "fileSizeBytes": 167452 } ], "mentions": [], "reference": null }, { "id": 1046028832840355800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 06:45:08", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046028829979848800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046029212114497500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:46:38", "content": ":hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046029622132883600, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:48:16", "content": "isn't 1 - cos^2 sin", "attachments": [], "mentions": [], "reference": null }, { "id": 1046029638364835800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:48:20", "content": "why is there a minus", "attachments": [], "mentions": [], "reference": null }, { "id": 1046029719281336300, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:48:39", "content": "oh wait i forgot something", "attachments": [], "mentions": [], "reference": null }, { "id": 1046029742723322000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:48:44", "content": "why is this substitution happening at all :hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046029848881156100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:49:10", "content": "but no", "attachments": [], "mentions": [ { "id": 847885200860250100, "name": "melina", "discriminator": "6847", "nickname": "melina", "isBot": false } ], "reference": null }, { "id": 1046029923183235100, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:49:27", "content": "", "attachments": [ { "id": 1046029922994495600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046029922994495558/20221126_124734.jpg", "fileName": "20221126_124734.jpg", "fileSizeBytes": 185468 } ], "mentions": [], "reference": null }, { "id": 1046029971874918400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:49:39", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030152582307800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:50:22", "content": "no ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030272795258900, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:50:51", "content": "1 - cos^2 is sin^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030357587316700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:51:11", "content": "", "attachments": [ { "id": 1046030357360804000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046030357360803910/20221126_124916.jpg", "fileName": "20221126_124916.jpg", "fileSizeBytes": 87925 } ], "mentions": [], "reference": null }, { "id": 1046030359944507400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:51:12", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030397663875100, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:51:21", "content": "but we got - sin there", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030448100397200, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:51:33", "content": "and where did that power go", "attachments": [], "mentions": [], "reference": null }, { "id": 1046030873675448300, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:53:14", "content": "still not sure what happened here", "attachments": [], "mentions": [ { "id": 847885200860250100, "name": "melina", "discriminator": "6847", "nickname": "melina", "isBot": false } ], "reference": null }, { "id": 1046031081054425100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:54:04", "content": "why 1/sin(theta)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046031083579388000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:54:04", "content": "its actually a polynomial", "attachments": [], "mentions": [], "reference": null }, { "id": 1046031119751057400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:54:13", "content": "i will send you the whole thing", "attachments": [], "mentions": [], "reference": null }, { "id": 1046031542834708500, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:55:54", "content": "", "attachments": [ { "id": 1046031542645952600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046031542645952593/Screenshot_20221126-125420_Drive.jpg", "fileName": "Screenshot_20221126-125420_Drive.jpg", "fileSizeBytes": 13728 } ], "mentions": [], "reference": null }, { "id": 1046032087104364500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:58:03", "content": "sorry i can’t understand that TT", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032125536780400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:58:13", "content": "its okay thank youu", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032154552975500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:58:19", "content": "idk what the U_n and stuff is", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032204377112600, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:58:31", "content": "they are polynomials", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032280247865300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 06:58:49", "content": ":hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032339156861000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 06:59:03", "content": ":hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032454269554700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 06:59:31", "content": "cant remember which set of eigenfunctions this is :hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032530618454100, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:59:49", "content": "can you find an explanation for the minus sin", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032559462678700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 06:59:56", "content": "other things can be understood", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032625808199700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:00:12", "content": "ah chebyshev", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032661136810000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:00:20", "content": "(1 - x^2)^-1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032698331897900, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:00:29", "content": "became (-sin)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032761422610400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:00:44", "content": "is it some sort of approximation", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032837717000300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:01:02", "content": "no its a substitution", "attachments": [], "mentions": [], "reference": null }, { "id": 1046032896156241900, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:01:16", "content": "yes we substituted the x", "attachments": [], "mentions": [], "reference": null }, { "id": 1046033022023110700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:01:46", "content": "but why minus", "attachments": [], "mentions": [], "reference": null }, { "id": 1046033061667672200, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:01:56", "content": ".", "attachments": [], "mentions": [], "reference": null }, { "id": 1046033186938966100, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:02:26", "content": "", "attachments": [ { "id": 1046033186725048400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046033186725048392/20221126_124734.jpg", "fileName": "20221126_124734.jpg", "fileSizeBytes": 185468 } ], "mentions": [], "reference": null }, { "id": 1046033522495856600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:03:46", "content": ":hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034177629372500, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:06:22", "content": "oh that isnt from the (1 - x^2)^1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034214568591500, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:06:31", "content": "its from the substitution", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034337637867600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:07:00", "content": "x = cosθ, dx = -sinθdθ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034390737756200, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:07:13", "content": "that - sin", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034455548149800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:07:28", "content": "is the 1/sinθ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034527396573200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:07:45", "content": "the 1/sinθ comes from the definition of Un(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034632132542500, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:08:10", "content": "", "attachments": [ { "id": 1046034632254165000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046034632254165022/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 15767 } ], "mentions": [], "reference": null }, { "id": 1046034786201915500, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:08:47", "content": "one of the 1/sinθ cancels against the (1 - x^2)^1/2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046034807248924700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:08:52", "content": "the other one cancels against the differential", "attachments": [], "mentions": [], "reference": null }, { "id": 1046035154981892200, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:10:15", "content": "what (1 - x^2)^1/2 gives", "attachments": [], "mentions": [], "reference": null }, { "id": 1046035326033985700, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:10:56", "content": "", "attachments": [ { "id": 1046035325824278700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046035325824278629/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 15629 } ], "mentions": [], "reference": null }, { "id": 1046035758743568400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:12:39", "content": "", "attachments": [ { "id": 1046035758554808300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046035758554808381/20221126_131044.jpg", "fileName": "20221126_131044.jpg", "fileSizeBytes": 112601 } ], "mentions": [], "reference": null }, { "id": 1046035820378865700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:12:53", "content": "i've never find this", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1046035882009964700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:13:08", "content": "no this isnt right", "attachments": [], "mentions": [ { "id": 847885200860250100, "name": "melina", "discriminator": "6847", "nickname": "melina", "isBot": false } ], "reference": null }, { "id": 1046035922510159900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:13:18", "content": "you've got a -1/2 in the exponent", "attachments": [], "mentions": [], "reference": null }, { "id": 1046035949395656800, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:13:24", "content": "so at the very least it should be 1/sinθ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046036040940539900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:13:46", "content": "whether its + or - depends on the values θ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046036191008534500, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:14:22", "content": "is this a definition", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1046036213024440300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:14:27", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1046036308335800300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:14:50", "content": "", "attachments": [ { "id": 1046036308390330500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046036308390330468/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 8392 } ], "mentions": [], "reference": null }, { "id": 1046036659088666600, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:16:13", "content": "", "attachments": [ { "id": 1046036658803458000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046036658803458068/20221126_131424.jpg", "fileName": "20221126_131424.jpg", "fileSizeBytes": 113436 } ], "mentions": [], "reference": null }, { "id": 1046036799316840400, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:16:47", "content": "probably dont write that", "attachments": [], "mentions": [], "reference": null }, { "id": 1046036885824356400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:17:08", "content": "", "attachments": [ { "id": 1046036885899837600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046036885899837551/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 11663 } ], "mentions": [], "reference": null }, { "id": 1046036969194537000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:17:27", "content": "all of this is so confusing", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037022214721500, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:17:40", "content": "", "attachments": [ { "id": 1046037022025973900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046037022025973841/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 15767 } ], "mentions": [], "reference": null }, { "id": 1046037040095047700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:17:44", "content": "you said we have this", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037061137858600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:17:49", "content": "that is definition", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037080502964400, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:17:54", "content": "but its U_n+1 here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037133221171200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:18:06", "content": "no you have V_n+1", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037163965419600, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:18:14", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037176850317300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:18:17", "content": "thats the chebyshev polynomials of the first kind i assume", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037245402030100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:18:33", "content": "the Uns are the chebyshev polynomials of the second kind", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037310963196000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:18:49", "content": "yes it is", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037344064639000, "author_id": 859166603114315800, "author_name": "giannis_money", "timestamp": "11/26/2022 07:18:57", "content": "What's your goal", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037469545644000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:19:27", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037592258396200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:19:56", "content": "oh :hmmCat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037612844027900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:20:01", "content": "maybe its not cos", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037668515025000, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:20:14", "content": ":NervousSweat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037751197335600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:20:34", "content": "i think your Vns are defined as something like", "attachments": [], "mentions": [], "reference": null }, { "id": 1046037803911352300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:20:46", "content": "", "attachments": [ { "id": 1046037804007825400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046037804007825468/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 10838 } ], "mentions": [], "reference": null }, { "id": 1046037992659234800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:21:31", "content": "i'll show you what we did at class", "attachments": [], "mentions": [], "reference": null }, { "id": 1046038133227139200, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:22:05", "content": "like", "attachments": [], "mentions": [], "reference": null }, { "id": 1046038169939873800, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:22:14", "content": "it should just be a substitution + a computation", "attachments": [], "mentions": [], "reference": null }, { "id": 1046038345047887900, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:22:55", "content": "", "attachments": [ { "id": 1046038345005932700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046038345005932725/Screenshot_20221126-132107_Drive.jpg", "fileName": "Screenshot_20221126-132107_Drive.jpg", "fileSizeBytes": 22590 } ], "mentions": [], "reference": null }, { "id": 1046039003998199800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 07:25:33", "content": "", "attachments": [ { "id": 1046039004056916100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046039004056916048/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 68256 } ], "mentions": [], "reference": null }, { "id": 1046040051370442800, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:29:42", "content": "", "attachments": [ { "id": 1046040051005534200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046040051005534258/118663865264242688-1.png", "fileName": "118663865264242688-1.png", "fileSizeBytes": 157801 } ], "mentions": [], "reference": null }, { "id": 1046040067715641500, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:29:46", "content": "isn't this squared", "attachments": [], "mentions": [], "reference": null }, { "id": 1046040207595675600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:30:19", "content": "", "attachments": [ { "id": 1046040207339814900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046040207339814942/image.png", "fileName": "image.png", "fileSizeBytes": 153954 } ], "mentions": [], "reference": null }, { "id": 1046040330337787900, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:30:49", "content": "okay", "attachments": [], "mentions": [], "reference": null }, { "id": 1046040382632374300, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:31:01", "content": "so here we didn't use V_n+1", "attachments": [], "mentions": [], "reference": null }, { "id": 1046040423006744700, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:31:11", "content": "well its the same computation", "attachments": [], "mentions": [], "reference": null }, { "id": 1046040505949098100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/26/2022 07:31:31", "content": "i assume you've already calculated the integral at the end when you did stuff for Vn", "attachments": [], "mentions": [], "reference": null }, { "id": 1046040904605126700, "author_id": 847885200860250100, "author_name": "melina", "timestamp": "11/26/2022 07:33:06", "content": ":catThink:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046044680351141900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 07:48:06", "content": "@melina Has your question been resolved?", "attachments": [], "mentions": [ { "id": 847885200860250100, "name": "melina", "discriminator": "6847", "nickname": "melina", "isBot": false } ], "reference": null }, { "id": 1046044736642891800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 07:48:19", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046044988359852200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 07:49:19", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046048054140219400, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:01:30", "content": "How do I calculate the area inside the triangle", "attachments": [ { "id": 1046048053628522500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046048053628522506/E43A01B5-1D48-4CCD-9046-19A37E709C37.jpg", "fileName": "E43A01B5-1D48-4CCD-9046-19A37E709C37.jpg", "fileSizeBytes": 3618055 } ], "mentions": [], "reference": null }, { "id": 1046048057231413200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 08:01:31", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046048054140219400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046048954506281100, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:05:05", "content": "I don’t know how to write my integral", "attachments": [ { "id": 1046048954070077600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046048954070077570/444021DC-3195-4711-913D-C4513B909336.jpg", "fileName": "444021DC-3195-4711-913D-C4513B909336.jpg", "fileSizeBytes": 4206959 } ], "mentions": [], "reference": null }, { "id": 1046049102590394400, "author_id": 789067351567499300, "author_name": "DragoDashZ", "timestamp": "11/26/2022 08:05:40", "content": "Idk if I'm allowed to say it but area of triangle = (height x base) ÷ 2", "attachments": [], "mentions": [ { "id": 688070001928044500, "name": "Yousssef", "discriminator": "0776", "nickname": "Yousssef", "isBot": false } ], "reference": null }, { "id": 1046049190544937000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:06:01", "content": "Yes but I don’t know what the height is", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049332903805000, "author_id": 789067351567499300, "author_name": "DragoDashZ", "timestamp": "11/26/2022 08:06:35", "content": "It's not in 'given'?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049341615390700, "author_id": 408297823608635400, "author_name": "ByShaDowZ", "timestamp": "11/26/2022 08:06:37", "content": "That's not a triangle !", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049465984889000, "author_id": 789067351567499300, "author_name": "DragoDashZ", "timestamp": "11/26/2022 08:07:07", "content": "Oh that makes sense", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049501628084200, "author_id": 789067351567499300, "author_name": "DragoDashZ", "timestamp": "11/26/2022 08:07:15", "content": "I thought that it's a right triangle", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049577092005900, "author_id": 789067351567499300, "author_name": "DragoDashZ", "timestamp": "11/26/2022 08:07:33", "content": "I did not notice that the line isn't straight", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049666472612000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:07:55", "content": "Does someone know how to solve it?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049749037498400, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:08:14", "content": "I know it’s ln x minus something", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049799469793300, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:08:26", "content": "do you know ibp?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049877609689200, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:08:45", "content": "Yea", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049917271031900, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:08:54", "content": "write lnx as 1*lnx and use ibp on that", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049973680210000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:09:08", "content": "But it’s wrong answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1046049980248490000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:09:09", "content": "I tried", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050024359997400, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:09:20", "content": "then you made a mistake somewhere", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050137853661300, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:09:47", "content": "oh the integral should be int lnx - 3 dx", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050139275546800, "author_id": 1028900767433769000, "author_name": "Volume_em", "timestamp": "11/26/2022 08:09:47", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050316027699200, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:10:30", "content": "Why minus 3", "attachments": [], "mentions": [ { "id": 132304137583984640, "name": "Denascite", "discriminator": "8952", "nickname": "Denascite", "isBot": false } ], "reference": null }, { "id": 1046050593778704500, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:11:36", "content": "at what coordinate is the lower left corner", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050714805358600, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:12:05", "content": "e^3", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050858531553300, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:12:39", "content": "thats the x coordinate", "attachments": [], "mentions": [], "reference": null }, { "id": 1046050872997724200, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:12:42", "content": "and the y coordinate?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051129114492900, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:13:43", "content": "it’s doesn’t say anything", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051149293306000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:13:48", "content": "But u got right answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051237818269700, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:14:09", "content": "", "attachments": [ { "id": 1046051237528867000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046051237528866926/0C78EDEE-56EF-46CF-A5A1-C7D5B864F464.jpg", "fileName": "0C78EDEE-56EF-46CF-A5A1-C7D5B864F464.jpg", "fileSizeBytes": 1490864 } ], "mentions": [], "reference": null }, { "id": 1046051350687011000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:14:36", "content": "I get right answer but I don’t know how u got 3", "attachments": [], "mentions": [ { "id": 132304137583984640, "name": "Denascite", "discriminator": "8952", "nickname": "Denascite", "isBot": false } ], "reference": null }, { "id": 1046051508514459600, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:15:14", "content": "the corner is at (e^3, ln(e^3))", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051534678532100, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:15:20", "content": "it's exactly on the graph of ln x", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051560846790800, "author_id": 132304137583984640, "author_name": "Denascite", "timestamp": "11/26/2022 08:15:26", "content": "what is ln(e^3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051586243297400, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:15:32", "content": "3", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051594153775100, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:15:34", "content": "Ohhhhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051609483944000, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:15:38", "content": "Yeah ofc", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051633777344500, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:15:44", "content": "I’m so stupid heheh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046051754359410800, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:16:12", "content": "Thank you so much @Denascite", "attachments": [], "mentions": [ { "id": 132304137583984640, "name": "Denascite", "discriminator": "8952", "nickname": "Denascite", "isBot": false } ], "reference": null }, { "id": 1046055530008956900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 08:31:13", "content": "@Yousssef Has your question been resolved?", "attachments": [], "mentions": [ { "id": 688070001928044500, "name": "Yousssef", "discriminator": "0776", "nickname": "Yousssef", "isBot": false } ], "reference": null }, { "id": 1046055571155058800, "author_id": 688070001928044500, "author_name": "Yousssef", "timestamp": "11/26/2022 08:31:22", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046055573893955600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 08:31:23", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046059131208994800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 08:45:31", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046059511171010600, "author_id": 315878870144385000, "author_name": "GrayGung", "timestamp": "11/26/2022 08:47:02", "content": "any one have any clue on how to do this, my brain is mush", "attachments": [ { "id": 1046059510931918800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046059510931918898/Screenshot_2022-11-26_134625.png", "fileName": "Screenshot_2022-11-26_134625.png", "fileSizeBytes": 9532 } ], "mentions": [], "reference": null }, { "id": 1046059513981190300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 08:47:02", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046059511171010600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046063287244165100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 09:02:02", "content": "@GrayGung Has your question been resolved?", "attachments": [], "mentions": [ { "id": 315878870144385000, "name": "GrayGung", "discriminator": "8989", "nickname": "GrayGung", "isBot": false } ], "reference": null }, { "id": 1046071112267727000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 09:33:08", "content": "@GrayGung Has your question been resolved?", "attachments": [], "mentions": [ { "id": 315878870144385000, "name": "GrayGung", "discriminator": "8989", "nickname": "GrayGung", "isBot": false } ], "reference": null }, { "id": 1046078663541665800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 10:03:08", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046081644492234900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 10:14:59", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046081781113299000, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:15:31", "content": "Hey guys can you help me solve this problem \ni basically want to find cos^2(phi)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046081783495675900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 10:15:32", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046081781113299000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046081796619641000, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:15:35", "content": "$\\left. \\begin{cases} { \\sin ( \\theta ) = x \\cos ( \\phi ) } \\\\ { \\cos ( \\theta ) = y \\sin ( \\phi ) } \\\\ { { \\left( \\cos ( \\phi ) \\right) }^{ 2 } = z } \\end{cases} \\right.$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046081932624146400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:16:08", "content": "**sarang**", "attachments": [ { "id": 1046081932716417200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046081932716417124/714884716368494926.png", "fileName": "714884716368494926.png", "fileSizeBytes": 23368 } ], "mentions": [], "reference": null }, { "id": 1046082112761114600, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:16:50", "content": "There are infinitely many solutions though, no?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046082149603885000, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:16:59", "content": "5 variables and 3 equations", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083079778865300, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:20:41", "content": "well i put z there by mistake sry about that \nbasically i want to find \n$cos^2(\\phi)$", "attachments": [], "mentions": [ { "id": 348696743388381200, "name": "A Lonely Bean", "discriminator": "7998", "nickname": "A Lonely Bean", "isBot": false } ], "reference": null }, { "id": 1046083130156646400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:20:53", "content": "**sarang**", "attachments": [ { "id": 1046083130261516300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046083130261516348/714884716368494926.png", "fileName": "714884716368494926.png", "fileSizeBytes": 24147 } ], "mentions": [], "reference": null }, { "id": 1046083158484987900, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:21:00", "content": "In terms of?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083249929207900, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:21:22", "content": "x y variables and constant values \nie 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083293008892000, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:21:32", "content": "i already know the answer but idk how they got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083631128522900, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:22:52", "content": "i was able to get it to \n$${ x }^{ 2 } { \\left( \\cos ( \\phi ) \\right) }^{ 2 } + { y }^{ 2 } \\left( 1- { \\left( \\cos ( \\phi ) \\right) }^{ 2 } \\right)$$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083729514299400, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:23:16", "content": "cos^2(phi) = sin^2(theta)/x^2 = (1 - cos^2(theta))/x^2 = (1 - y^2sin^2(phi))/x^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083786158395500, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:23:29", "content": "is the bot dead?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083786267447400, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:23:29", "content": "$$", "attachments": [], "mentions": [ { "id": 714884716368495000, "name": "sarang", "discriminator": "4142", "nickname": "sarang", "isBot": false } ], "reference": null }, { "id": 1046083835462418600, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:23:41", "content": "ohk \nive never used latex much before", "attachments": [], "mentions": [], "reference": null }, { "id": 1046083998813802600, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:24:20", "content": "**sarang**", "attachments": [ { "id": 1046083998914453500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046083998914453514/714884716368494926.png", "fileName": "714884716368494926.png", "fileSizeBytes": 22665 } ], "mentions": [], "reference": null }, { "id": 1046084277047140400, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:25:26", "content": "then idk what to do \nthey got \n$$ \\dfrac{ \\left( 1- { y }^{ 2 } \\right) }{ { x }^{ 2 } - { y }^{ 2 } } $$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046084367048507400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:25:48", "content": "**sarang**", "attachments": [ { "id": 1046084367149183000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046084367149182996/714884716368494926.png", "fileName": "714884716368494926.png", "fileSizeBytes": 16594 } ], "mentions": [], "reference": null }, { "id": 1046084375399374800, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:25:50", "content": "$\\cos^2{\\phi} = \\frac{\\sin^2{\\theta}}{x^2} = \\frac{1 - \\cos^2{\\theta}}{x^2} = \\frac{1 - y^2\\sin^2{\\phi}}{x^2} = \\frac{1 - y^2(1 - \\cos^2{\\phi})}{x^2}$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046084389525786800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:25:53", "content": "**A Lonely Bean**", "attachments": [ { "id": 1046084389727121400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046084389727121469/348696743388381195.png", "fileName": "348696743388381195.png", "fileSizeBytes": 29887 } ], "mentions": [], "reference": null }, { "id": 1046084478629597300, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:26:15", "content": "And just isolate from here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046084630509527200, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:26:51", "content": "how tho?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046084951633842200, "author_id": 348696743388381200, "author_name": "A Lonely Bean", "timestamp": "11/26/2022 10:28:07", "content": "$$x^2\\cos^2{\\phi} = 1 - y^2 + y^2\\cos^2{\\phi})$$\n$$(x^2 - y^2)\\cos^2{\\phi} = 1 - y^2$$\n$$\\cos^2{\\phi} = \\frac{1 - y^2}{x^2 - y^2}$$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046084988610822300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 10:28:16", "content": "**A Lonely Bean**", "attachments": [ { "id": 1046084988703100900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046084988703100978/348696743388381195.png", "fileName": "348696743388381195.png", "fileSizeBytes": 30057 } ], "mentions": [], "reference": null }, { "id": 1046085808177823700, "author_id": 714884716368495000, "author_name": "sarang", "timestamp": "11/26/2022 10:31:32", "content": "oh thaanks alot now i got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046089584829808800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 10:46:32", "content": "@sarang Has your question been resolved?", "attachments": [], "mentions": [ { "id": 714884716368495000, "name": "sarang", "discriminator": "4142", "nickname": "sarang", "isBot": false } ], "reference": null }, { "id": 1046093360739385300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 11:01:32", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046093615308480600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 11:02:33", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046093789380481000, "author_id": 494591638115450900, "author_name": "maxx.", "timestamp": "11/26/2022 11:03:14", "content": "can somebody help me solve this for x?", "attachments": [ { "id": 1046093788927504400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046093788927504425/IMG_0462.jpg", "fileName": "IMG_0462.jpg", "fileSizeBytes": 2722057 } ], "mentions": [], "reference": null }, { "id": 1046093792664629200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 11:03:15", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046093789380481000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046093841771540500, "author_id": 411882877933060100, "author_name": "Ｈｅｒｅｌｓ", "timestamp": "11/26/2022 11:03:27", "content": ",rotate", "attachments": [], "mentions": [], "reference": null }, { "id": 1046093850277576700, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 11:03:29", "content": "", "attachments": [ { "id": 1046093848033628300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046093848033628251/411882877933060109.png", "fileName": "411882877933060109.png", "fileSizeBytes": 2473947 } ], "mentions": [], "reference": null }, { "id": 1046094091731087500, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/26/2022 11:04:26", "content": "Divide by 3", "attachments": [], "mentions": [], "reference": null }, { "id": 1046094140775071900, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/26/2022 11:04:38", "content": "And set sin^2 x to 0 and cos x to 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1046094397273555000, "author_id": 494591638115450900, "author_name": "maxx.", "timestamp": "11/26/2022 11:05:39", "content": "and then what do i do?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046095264122941400, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/26/2022 11:09:06", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046095275510476900, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/26/2022 11:09:09", "content": "general solution", "attachments": [], "mentions": [], "reference": null }, { "id": 1046095374965809300, "author_id": 494591638115450900, "author_name": "maxx.", "timestamp": "11/26/2022 11:09:32", "content": "wdym?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046098078102454500, "author_id": 718461587236716500, "author_name": "NEONPerseus", "timestamp": "11/26/2022 11:20:17", "content": "the general solution for cos x = 0 and sin x = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1046099337479995500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 11:25:17", "content": "@maxx. Has your question been resolved?", "attachments": [], "mentions": [ { "id": 494591638115450900, "name": "maxx.", "discriminator": "6443", "nickname": "maxx.", "isBot": false } ], "reference": null }, { "id": 1046100607406194800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 11:30:20", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033796145207591000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 13:36:48", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796319069864100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:37:29", "content": "@Master Oogway", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033796321657749500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 13:37:30", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033796319069864100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033796453371490400, "author_id": 600510288067952600, "author_name": "GarlicBredFries", "timestamp": "10/23/2022 13:38:01", "content": "Dont ping random people", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796512762839000, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:38:15", "content": "lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796529317756900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "10/23/2022 13:38:19", "content": "they might know each other tho :thonk:", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796566860963800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:38:28", "content": "1st its not random people\n2nd it has context all", "attachments": [], "mentions": [ { "id": 600510288067952600, "name": "GarlicBredFries", "discriminator": "2110", "nickname": "GarlicBredFries", "isBot": false } ], "reference": null }, { "id": 1033796593004064900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:38:34", "content": "", "attachments": [ { "id": 1033796592752402400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033796592752402472/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 108176 } ], "mentions": [], "reference": null }, { "id": 1033796609399603300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:38:38", "content": "yep", "attachments": [], "mentions": [ { "id": 118663865264242690, "name": "夢雪", "discriminator": "2250", "nickname": "snow", "isBot": false } ], "reference": null }, { "id": 1033796651682381800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:38:48", "content": "", "attachments": [ { "id": 1033796651275538400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033796651275538462/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 14063 } ], "mentions": [], "reference": null }, { "id": 1033796887070900200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:39:44", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796901675466900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:39:48", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1033796994604478600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:40:10", "content": "so", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797022467235800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:40:17", "content": "now i have", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797060824142000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:40:26", "content": "https://discord.com/channels/@me/1033775255988211834/1033795863656538142", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797117757632500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:40:39", "content": "we move all fractions to the left", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797150846505000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:40:47", "content": "done!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797333080604800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:41:31", "content": "$\\frac{3x}{(x-2)(x+2)}-\\frac{x}{x+2}+\\frac{4}{3}=0$", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797344170360800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 13:41:33", "content": "**Master Oogway**", "attachments": [ { "id": 1033797343880945800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033797343880945795/437166198166257664.png", "fileName": "437166198166257664.png", "fileSizeBytes": 11440 } ], "mentions": [], "reference": null }, { "id": 1033797379490582700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:41:42", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797429046288400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:41:54", "content": "now", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797462118375400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:42:01", "content": "we need to least common denominator", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797467386433700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:42:03", "content": "let me copy it", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797511099470000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:42:13", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797556972564600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:42:24", "content": "now?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797585837760600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:42:31", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797590355017900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:42:32", "content": "how", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797698157031400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:42:58", "content": "whenever we solve qquestions like this", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797796173729800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:43:21", "content": "we find the lcd by multiplying all the denominators together", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797952369602600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:43:58", "content": "lcd mean?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797977543819400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:44:04", "content": "least common denominator", "attachments": [], "mentions": [], "reference": null }, { "id": 1033797994463637600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:44:08", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798025535041700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:44:16", "content": "", "attachments": [ { "id": 1033798025241444400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033798025241444413/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 38171 } ], "mentions": [], "reference": null }, { "id": 1033798051195801600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:44:22", "content": "so what's the lcd here?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798131135041500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:44:41", "content": "(x-2)(x+2)?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798201133776900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:44:58", "content": "did you multiply ALL denominators?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798282180305000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:45:17", "content": "nope 👉 👈", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798341722644600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:45:31", "content": "the 3 no", "attachments": [ { "id": 1033798341324177400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033798341324177438/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 920 } ], "mentions": [], "reference": null }, { "id": 1033798357514207400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:45:35", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798422567866500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:45:50", "content": "so whats the lcd", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798431979876400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:45:53", "content": "then how?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798478389858300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:46:04", "content": "idk", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798498044354600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:46:08", "content": "just multiply all the denominators", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798543367999500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:46:19", "content": "what is 3 times x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798719524569100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:47:01", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798792656474100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:47:19", "content": "(x-2) * (x+2) * (x-2) * 3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798847534735400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:47:32", "content": "(x-2)^3 ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798849745145900, "author_id": 600510288067952600, "author_name": "GarlicBredFries", "timestamp": "10/23/2022 13:47:32", "content": "You have an extra x-2", "attachments": [], "mentions": [], "reference": null }, { "id": 1033798936491728900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:47:53", "content": "is that rigth @Master Oogway ?", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033798985263095800, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 13:48:05", "content": "You are trying to solve for x na?", "attachments": [], "mentions": [ { "id": 688039217024073900, "name": "!Mekmekmek", "discriminator": "9462", "nickname": "!Mekmekmek", "isBot": false } ], "reference": null }, { "id": 1033798994368921700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:48:07", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799048865513700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:48:20", "content": "xd", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799071216967700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:48:25", "content": "(x-2)^3 ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799126162362400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:48:38", "content": "the lcd will be 3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799158336868500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:48:46", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799217673679100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:49:00", "content": "the lcd contains all the denominators", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799274728804500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:49:14", "content": "just remember that", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799350574395500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:49:32", "content": "(3x-6) (3x+6)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799382161694700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:49:39", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799412582994000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:49:47", "content": "then cant be simplified?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799423400104000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:49:49", "content": "we dont need to simplify", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799442102501400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:49:54", "content": "jus tleave it limke that", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799450184929400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:49:55", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799504341778400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:50:08", "content": "then just 3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799563875713200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:50:23", "content": "now we have to multiply each fraction accordingly, to get 3(x-2)(x+2) at the denominator for each one", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799599456002000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:50:31", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799612424785900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:50:34", "content": "what do we multiply the first fraction with?>", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799741617737900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:05", "content": "3x( 3(x-2)(x+2))", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799805291462800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:51:20", "content": "", "attachments": [ { "id": 1033799804993671200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033799804993671200/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 38171 } ], "mentions": [], "reference": null }, { "id": 1033799833082925000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:27", "content": "ye", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799844931838100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:51:30", "content": "what do we multiply the first fraction with?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799858752065500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:51:33", "content": "answer the question", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799889294991500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:40", "content": "ohh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799893711597600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:41", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799916755095700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:47", "content": "3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799927299571800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:51:49", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799943451857000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:51:53", "content": "on the top we have :", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799957733449900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:56", "content": "3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799961458004100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:57", "content": "then", "attachments": [], "mentions": [], "reference": null }, { "id": 1033799968827392000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:51:59", "content": "6x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800011324080300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:52:09", "content": "3*3x is 6x?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800036057895000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:15", "content": "hm", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800048082944100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:18", "content": "i think", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800087823978500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:28", "content": "no?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800093750538200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:52:29", "content": "😢", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800115237957600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:52:34", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800128601010200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:37", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800136280772700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:39", "content": "then just", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800154974789600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:52:44", "content": ",calc 3*3", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800156702847100, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 13:52:44", "content": "Result:\n```\n9\n```", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800157113880600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:44", "content": "3(3x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800175044546700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:48", "content": "ohh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800181067550800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:52:50", "content": "im so dumb", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800250013536300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:53:06", "content": "imagine doing maths since 8:00 am and dont know 3*3 xD", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800273178656800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:53:12", "content": "9x then?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800283395993700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:14", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800296670969900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:53:17", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800300450042000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:18", "content": "and on the bottom?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800335451488400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:53:27", "content": "3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800360416002200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:33", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800372961169500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:35", "content": "now the second one", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800388584943600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:39", "content": "what do we multiply with", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800441382846600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:53:52", "content": "resend it :D", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800469602127900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:53:59", "content": "", "attachments": [ { "id": 1033800469308510200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033800469308510248/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 38171 } ], "mentions": [], "reference": null }, { "id": 1033800691413680300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:54:51", "content": "x(3x(x-2))\n-------------\n 3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800712846581800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:54:57", "content": "answer", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800716994748500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:54:58", "content": "the", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800723558838300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:54:59", "content": "question", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800795549868200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:55:16", "content": "3x(x-2)", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033800816429117400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:55:21", "content": "wrong", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800832430387300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:55:25", "content": "uh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800851359281200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:55:30", "content": "3(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800863854117000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:55:33", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800873907863700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:55:35", "content": "x = * (was)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800965071057000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:55:57", "content": "on the top we get x * 3*(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033800972901826700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:55:59", "content": "so... ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801079458107500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:56:24", "content": "x* 3* (x-2)\n---------\n 3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801112123363500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:56:32", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801126975385700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:56:35", "content": "simplify the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801204117016600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:56:54", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801282693120000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:12", "content": "x * 6x - 6", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801303329083400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:17", "content": "then", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801319254863900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:57:21", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801343581831200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:27", "content": "6x^2 - 6", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801358467403900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:57:30", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801372568666200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:34", "content": "uh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801387093545100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:57:37", "content": "focus]", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801397960982700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:40", "content": "how it is then?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801414436204500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:57:44", "content": "x * 3*(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801423441371100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:57:46", "content": "think", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801478726488000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:57:59", "content": "3x*(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801497735077900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:58:04", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801581017182200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:58:24", "content": "3x^2 - 5x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801612654809200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:58:31", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801656195879000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:58:41", "content": "see now", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801678991921300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:58:47", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801702962368500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:58:53", "content": "please", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801717231403000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:58:56", "content": "revise multiplication", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801752413220900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:59:04", "content": "you cant do basic math", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801857778323500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:59:30", "content": "3x*(x-2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801862589206500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:59:31", "content": "is", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801918562177300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 13:59:44", "content": "3x * x - 3x * 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1033801966712795100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 13:59:55", "content": "3x^2 - 6x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802019036745700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:00:08", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802041442717700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:00:13", "content": "now the third fraction", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802077459185700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:00:22", "content": "", "attachments": [ { "id": 1033802077148823600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033802077148823604/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 38171 } ], "mentions": [], "reference": null }, { "id": 1033802106609619100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:00:29", "content": "what do we multiply with", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802185143746600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:00:48", "content": "4(x-2)(x+2) \n-----------------------\n3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802228554793200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:00:58", "content": "(x-2)(x+2)", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033802257692639200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:01:05", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802302210977800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:01:15", "content": "now simplify the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802468183773200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:01:55", "content": "4 (x^2-4)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802529496109200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:02:10", "content": "4x^2-16", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802639122649200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:02:36", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802898200592400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:03:38", "content": "$\\frac{9x-(3x^2 -6x)+4x^2-16}{3(x-2)(x+2)}=0$", "attachments": [], "mentions": [], "reference": null }, { "id": 1033802965204619300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:03:54", "content": "can u give me it separated?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803279471218800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 14:05:08", "content": "**Master Oogway**", "attachments": [ { "id": 1033803279538335900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033803279538335835/437166198166257664.png", "fileName": "437166198166257664.png", "fileSizeBytes": 15989 } ], "mentions": [], "reference": null }, { "id": 1033803315789709300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:05:17", "content": "notice", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803335469375500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:05:22", "content": "before the second fraction", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803345560866800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:05:24", "content": "we have a -", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803412959142000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:05:40", "content": "so we need brackets at the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803419183501300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:05:42", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803516067721300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:06:05", "content": "if we have + before a fraction we dont need the brackets at the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803538125566100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:06:10", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803561714339800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:06:16", "content": "", "attachments": [ { "id": 1033803561420734600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033803561420734535/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 47361 } ], "mentions": [], "reference": null }, { "id": 1033803587156975600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:06:22", "content": "simplify the top now", "attachments": [], "mentions": [], "reference": null }, { "id": 1033803718266728400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:06:53", "content": "wait im going it on my notebook", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804054381473800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:08:13", "content": "hmm", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033804137156051100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:08:33", "content": "i have it like", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804231238488200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:08:55", "content": "fraction 1 -fraction 2 +fraction 3 = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804247655010600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:08:59", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804254512685200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:01", "content": "its that good?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804326101061600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:09:18", "content": "now just write them all under the same denominator", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804332849696800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:20", "content": "now i can remove the 3(x-2)(x+2) of the buton", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804381931446300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:09:31", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804427758411800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:42", "content": "3(x-2)(x+2) is the denominator", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804445647114200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:47", "content": "rigth?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804463296749600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:09:51", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804481395179600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:55", "content": "i can remove it", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804496062648300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:09:59", "content": "cuz all has the same", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804511216685000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:02", "content": "or no?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804545299595400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:10", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804559585386500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:14", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804598223315000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:23", "content": "", "attachments": [ { "id": 1033804598017798100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033804598017798144/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 47361 } ], "mentions": [], "reference": null }, { "id": 1033804624462889000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:29", "content": "do yoy understan why i wrote this?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804631555444900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:31", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804638383788200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:32", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804648995356700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:35", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804661649592400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:38", "content": "cuz all has the same denominator", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804665185390600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:39", "content": "now simplify the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804673636905000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:10:41", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033804679915782100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:10:42", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805360236085400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:25", "content": "u still here", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805363931254800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:25", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805401680003200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:13:34", "content": "doin it on my notebook", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805413247897900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:37", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805428502581400, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:13:41", "content": "@Master Oogway can I ask you are question", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805442507341800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:44", "content": "sure", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805455140589600, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:13:47", "content": "I am doing the same problem", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805476841935000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:52", "content": "hm", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805485637382300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:54", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805497440157700, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:13:57", "content": "And I am getting complex numbers", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805500095140000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:13:58", "content": "how", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805520194257000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:14:03", "content": "haha", "attachments": [], "mentions": [ { "id": 518716603928543200, "name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "discriminator": "6985", "nickname": "Arnab", "isBot": false } ], "reference": null }, { "id": 1033805550707806300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:14:10", "content": "how are you doing the same problem", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805555883585700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:11", "content": "9x-(3x^2 -6x) = 9x - 3x^2 + 6x", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805562707718300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:14:13", "content": "are you friends?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805631200690200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:29", "content": "🙅‍♂️", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805639362814000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:31", "content": "idk", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805652688121900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:34", "content": "maybe", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805660103655600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:36", "content": "💀", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805674754351200, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:14:40", "content": "", "attachments": [ { "id": 1033805674167140400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033805674167140403/IMG20221023234404.jpg", "fileName": "IMG20221023234404.jpg", "fileSizeBytes": 6963143 } ], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805678101418100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:14:40", "content": "huh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805678483083400, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:14:40", "content": "Nope I liked that maths", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805716126969900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:14:49", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805719092330600, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:14:50", "content": "See", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805765313581200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:15:01", "content": "@Master Oogway", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805775870640100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:15:04", "content": "your quadratic is wrong", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805842262270100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:15:19", "content": "its wrong?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033805913192136700, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:15:36", "content": "My one ?", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033805974001176700, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:15:51", "content": "Ok i think I should open another channel", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806022017560600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:16:02", "content": "yes", "attachments": [], "mentions": [ { "id": 518716603928543200, "name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "discriminator": "6985", "nickname": "Arnab", "isBot": false } ], "reference": null }, { "id": 1033806034944405600, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:16:05", "content": "@!Mekmekmek keep doing good luck", "attachments": [], "mentions": [ { "id": 688039217024073900, "name": "!Mekmekmek", "discriminator": "9462", "nickname": "!Mekmekmek", "isBot": false } ], "reference": null }, { "id": 1033806046080274400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:16:08", "content": "it's close tho", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806088665043100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:16:18", "content": "x^2+15x-16", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806090321805300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:16:19", "content": "nice", "attachments": [], "mentions": [ { "id": 518716603928543200, "name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "discriminator": "6985", "nickname": "Arnab", "isBot": false } ], "reference": null }, { "id": 1033806121414180900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:16:26", "content": "yes", "attachments": [], "mentions": [ { "id": 688039217024073900, "name": "!Mekmekmek", "discriminator": "9462", "nickname": "!Mekmekmek", "isBot": false } ], "reference": null }, { "id": 1033806245217452000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:16:56", "content": "$\\frac{x^2+15x-16}{3(x-2)(x+2)}=0$", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806254847570000, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 14:16:58", "content": "**Master Oogway**", "attachments": [ { "id": 1033806254927249400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033806254927249428/437166198166257664.png", "fileName": "437166198166257664.png", "fileSizeBytes": 10580 } ], "mentions": [], "reference": null }, { "id": 1033806309717442700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:17:11", "content": "u still can simplify", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806379317743700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:17:28", "content": "(x-2) (x+2) = x^2 - 4", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806408031940600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:17:34", "content": "no need", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806424968544300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:17:38", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806439975759900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:17:42", "content": "now", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806477254742100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:17:51", "content": "we need to use our brain", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806527460556800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:18:03", "content": "if a fraction is =0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806545445736600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:18:07", "content": "what does that mean?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806572670943200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:18:14", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806629516365800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:18:27", "content": "i can move 3(x-2)(x+2) to other side", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806643235934200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:18:30", "content": "multipling", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806662001246300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:18:35", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806686248513700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:18:41", "content": "💀 what then", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806707605905500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:18:46", "content": "to get 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806734390743000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:18:52", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806743995678800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:18:54", "content": "case1.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806768133906600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:00", "content": "the top is =0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806779211055200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:03", "content": "case2.", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806798882345100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:08", "content": "the bottom is =0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806824681517200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:19:14", "content": "then its finished?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806866851049700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:24", "content": "is case 2 possible?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806941866176600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:19:42", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806954608464000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:45", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806973478654000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:19:49", "content": "why?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033806995981078500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:55", "content": "you cant divide something by 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807013739778000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:19:59", "content": "the bottom cant be 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807059105370200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:20:10", "content": "why?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807079082836100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:20:14", "content": "my mom says it can be", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807096396910600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:20:18", "content": "5/0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807104139591700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:20:20", "content": "whats this", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807211291488400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:20:46", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807217805246600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:20:47", "content": "undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807240433504400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:20:53", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807263594463400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:20:58", "content": "so the bottom cant be 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807270523445400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:21:00", "content": "right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807341503651800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:21:17", "content": "but if the buton x its 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807416942411800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:21:35", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807444960354400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:21:42", "content": "idk", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807460508639400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:21:45", "content": "yes", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033807472261091300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:21:48", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807502669795500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:21:55", "content": "you understand why the bottom cant be 0?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807527667843200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:01", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807544046604300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:05", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807573721292800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:12", "content": "8/0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807596265681000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:18", "content": "is this possible?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807609628729500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:21", "content": "undefined", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807616381554800, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:22", "content": "nope", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807626020081800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:25", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807626582118500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:25", "content": "but", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807643422232700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:29", "content": "oHHH", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807646458925000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:30", "content": "okk", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807691912589300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:40", "content": "i get it", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807703367225300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:43", "content": "no matter what number we have on the top", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807711676145700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:45", "content": "/0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807720664535200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:47", "content": "isnt possible", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807725953564700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:49", "content": "yeyey ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807733666877400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:22:50", "content": "i know", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807736762273800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:51", "content": "good", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807748565045200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:54", "content": "so that means", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807764947996800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:22:58", "content": "the top must be 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807851396808800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:23:18", "content": "$x^2+15x-16=0$", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807860662022100, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "10/23/2022 14:23:21", "content": "**Master Oogway**", "attachments": [ { "id": 1033807860439715800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033807860439715891/437166198166257664.png", "fileName": "437166198166257664.png", "fileSizeBytes": 5610 } ], "mentions": [], "reference": null }, { "id": 1033807891943133200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:23:28", "content": "now we solve this", "attachments": [], "mentions": [], "reference": null }, { "id": 1033807968698896500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:23:46", "content": "", "attachments": [ { "id": 1033807968413691900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033807968413691924/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 87446 } ], "mentions": [], "reference": null }, { "id": 1033807985337716700, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:23:50", "content": "do you understand why i said this?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808024235684000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:24:00", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808040283082900, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:24:04", "content": "explain", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808098688774300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:24:17", "content": "cuz its = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808123229651100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:24:23", "content": "and?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808188459454500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:24:39", "content": "every 2degree equaction its = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808212870316000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:24:45", "content": "no", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808261209673900, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:24:56", "content": "then?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808327794249700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:25:12", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808333313941600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:25:13", "content": "i know", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808356554580100, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:25:19", "content": "when", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808399919485000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:25:29", "content": "0/ anyting = 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808422107369500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:25:35", "content": "good", "attachments": [], "mentions": [ { "id": 688039217024073900, "name": "!Mekmekmek", "discriminator": "9462", "nickname": "!Mekmekmek", "isBot": false } ], "reference": null }, { "id": 1033808438230257800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:25:38", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808461928087600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:25:44", "content": "that's the explenation", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808520379912200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:25:58", "content": "", "attachments": [ { "id": 1033808520052748400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033808520052748369/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 16333 } ], "mentions": [], "reference": null }, { "id": 1033808539048747100, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:26:02", "content": "use the formula", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808553552658600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:26:06", "content": "and find x", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808558128636000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:26:07", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808639577821300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:26:26", "content": "have you learned to factor it?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808691155181800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:26:39", "content": "or just the formula", "attachments": [], "mentions": [], "reference": null }, { "id": 1033808810202103800, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:27:07", "content": "@𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛 how's it going", "attachments": [], "mentions": [ { "id": 518716603928543200, "name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "discriminator": "6985", "nickname": "Arnab", "isBot": false } ], "reference": null }, { "id": 1033809070236385300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:28:09", "content": "1", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809074854318200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:28:10", "content": "and", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809079702913000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:28:11", "content": "-16", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809178503946400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:28:35", "content": "close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809248464949200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:28:52", "content": "wdym?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809258816491600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:28:54", "content": "wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809275081998500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:28:58", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809276419981400, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:28:58", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809286205288600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:01", "content": "it's correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809293201391600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:02", "content": "its good?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809299044061300, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:04", "content": "nice", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809301405434000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:04", "content": ":GG:", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809304140132400, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:05", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809307042590700, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:29:06", "content": "It's ok", "attachments": [], "mentions": [ { "id": 437166198166257660, "name": "Master Oogway", "discriminator": "0599", "nickname": "Oogy Boogy", "isBot": false } ], "reference": null }, { "id": 1033809331747037300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:11", "content": "https://tenor.com/view/glasses-sunglasses-cool-tom-cruise-smile-gif-17437889", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809339389063200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:13", "content": "did you find the mistake>", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809342937432200, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:14", "content": "it is done?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809359723057200, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:18", "content": "yes", "attachments": [], "mentions": [ { "id": 688039217024073900, "name": "!Mekmekmek", "discriminator": "9462", "nickname": "!Mekmekmek", "isBot": false } ], "reference": null }, { "id": 1033809362277380100, "author_id": 518716603928543200, "author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛", "timestamp": "10/23/2022 14:29:19", "content": "I am doing it", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809394804207700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:26", "content": "can i do .close?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809431001039000, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:35", "content": "if you have no more questions then yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809489947787300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:49", "content": "then the result is 1 and -16", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809504904683500, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:29:53", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809525884584000, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:29:58", "content": "what about the", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809544985444500, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:30:02", "content": "3(x-2)(x+2)", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809560781209700, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:30:06", "content": "of the buton", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809583145242600, "author_id": 437166198166257660, "author_name": "Master Oogway", "timestamp": "10/23/2022 14:30:11", "content": "it doesnt matter", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809596239851600, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:30:14", "content": "oh ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809602489356300, "author_id": 688039217024073900, "author_name": "!Mekmekmek", "timestamp": "10/23/2022 14:30:16", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033809605219856400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:30:17", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046120353098907800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 12:48:48", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121243612545000, "author_id": 701872351599394800, "author_name": "ㄊ pingu ㄆ", "timestamp": "11/26/2022 12:52:20", "content": "", "attachments": [ { "id": 1046121243444789400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046121243444789389/20221126_1742283.jpg", "fileName": "20221126_1742283.jpg", "fileSizeBytes": 6762 } ], "mentions": [], "reference": null }, { "id": 1046121245948780500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 12:52:21", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046121243612545000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046121343504105500, "author_id": 701872351599394800, "author_name": "ㄊ pingu ㄆ", "timestamp": "11/26/2022 12:52:44", "content": "I need to prove this and this is how far I got", "attachments": [ { "id": 1046121343311151200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046121343311151256/20221126_175157.jpg", "fileName": "20221126_175157.jpg", "fileSizeBytes": 34625 } ], "mentions": [], "reference": null }, { "id": 1046121356850376700, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/26/2022 12:52:47", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121521904627800, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:26", "content": "That looks good", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121531572490400, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:29", "content": "Keep going", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121557992427600, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:35", "content": "See if you can use cos(2x) = ...", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121562618736800, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:36", "content": "Somewhere", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121575088398300, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:39", "content": "To get cos(4x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046121651231789000, "author_id": 800622149903056900, "author_name": "Shen", "timestamp": "11/26/2022 12:53:57", "content": "Also, you need a squared around the very first parentheses, although it doesn't end up mattering @ㄊ pingu ㄆ", "attachments": [], "mentions": [ { "id": 701872351599394800, "name": "ㄊ pingu ㄆ", "discriminator": "6240", "nickname": "ㄊ pingu ㄆ", "isBot": false } ], "reference": null }, { "id": 1046121757574189000, "author_id": 701872351599394800, "author_name": "ㄊ pingu ㄆ", "timestamp": "11/26/2022 12:54:23", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1046123577889534000, "author_id": 701872351599394800, "author_name": "ㄊ pingu ㄆ", "timestamp": "11/26/2022 13:01:37", "content": "I don't know how to get the cos(4x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046127353606189000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 13:16:37", "content": "@ㄊ pingu ㄆ Has your question been resolved?", "attachments": [], "mentions": [ { "id": 701872351599394800, "name": "ㄊ pingu ㄆ", "discriminator": "6240", "nickname": "ㄊ pingu ㄆ", "isBot": false } ], "reference": null }, { "id": 1046131130581127200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 13:31:37", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046131382667190400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 13:32:37", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046134263680086000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 13:44:04", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046134261272555600, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046134543838625800, "author_id": 823589624374362100, "author_name": "Pascal.", "timestamp": "11/26/2022 13:45:11", "content": "SUS", "attachments": [], "mentions": [], "reference": null }, { "id": 1046137664035881100, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 13:57:35", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1046137711129542700, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/26/2022 13:57:46", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1046138425226580100, "author_id": 334482942506041340, "author_name": "Zybikron", "timestamp": "11/26/2022 14:00:36", "content": "pretty sure that won't work", "attachments": [], "mentions": [], "reference": null }, { "id": 1046138813438767100, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 14:02:09", "content": "Why? What delta would you choose?", "attachments": [], "mentions": [ { "id": 334482942506041340, "name": "Zybikron", "discriminator": "5611", "nickname": "Zybikron", "isBot": false } ], "reference": null }, { "id": 1046142589566451800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 14:17:09", "content": "@Deleted User Has your question been resolved?", "attachments": [], "mentions": [ { "id": 456226577798135800, "name": "Deleted User", "discriminator": "0000", "nickname": "Deleted User", "isBot": false } ], "reference": null }, { "id": 1046151215718875300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 14:51:26", "content": "@Deleted User Has your question been resolved?", "attachments": [], "mentions": [ { "id": 456226577798135800, "name": "Deleted User", "discriminator": "0000", "nickname": "Deleted User", "isBot": false } ], "reference": null }, { "id": 1046158767198310500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:21:26", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046159019213074400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:22:26", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046164763056545800, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:45:16", "content": "", "attachments": [ { "id": 1046164762800701400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046164762800701471/20221126_154400.jpg", "fileName": "20221126_154400.jpg", "fileSizeBytes": 1119347 } ], "mentions": [], "reference": null }, { "id": 1046164766009344000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:45:17", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046164763056545800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046164811504951400, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:45:27", "content": "Ok so I totally messed up somewhere but where", "attachments": [], "mentions": [], "reference": null }, { "id": 1046164922519797800, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:45:54", "content": "Wait I just found it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046164979084169300, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:46:07", "content": "I literally wrote 1/3 when it's 1/2 ew", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165077298004000, "author_id": 183668144404037630, "author_name": "Ann", "timestamp": "11/26/2022 15:46:31", "content": "yeah, that was exactly your issue.", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165124139982800, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:46:42", "content": "😭", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165183682330800, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:46:56", "content": "I LITERALLY KNEW IT WAS ONE HALF TOO", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165204972613600, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:47:01", "content": "But ty, it checks out now", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165212358791200, "author_id": 692544527847915600, "author_name": "Lili_Monarch", "timestamp": "11/26/2022 15:47:03", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046165214996996100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:47:04", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046167292951675000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:55:19", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046167539828392100, "author_id": 310394019706568700, "author_name": "nytebyte11", "timestamp": "11/26/2022 15:56:18", "content": "wondering what the error for average angle should be. not sure if I should leave it as 1, since the measurement of angle is pretty accurate however idk if thats mathematically correct", "attachments": [ { "id": 1046167539476083000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046167539476082908/image.png", "fileName": "image.png", "fileSizeBytes": 28078 } ], "mentions": [], "reference": null }, { "id": 1046167544467292300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 15:56:19", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046167539828392100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046171316144836700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:11:18", "content": "@nytebyte11 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 310394019706568700, "name": "nytebyte11", "discriminator": "8558", "nickname": "nytebyte11", "isBot": false } ], "reference": null }, { "id": 1046172785271132300, "author_id": 310394019706568700, "author_name": "nytebyte11", "timestamp": "11/26/2022 16:17:08", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046172790354616400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:17:10", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046173042373558300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:18:10", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046175572755235000, "author_id": 639133893395480600, "author_name": "puncher", "timestamp": "11/26/2022 16:28:13", "content": "Can someone help me? \nThe basketball team consists of 10 players. The coach is allowed to change the composition of the team on the field only three times during the game. In each moment there are 5 players on the field. How many changes can the coach make, so that a different team is assembled?\n\nI tried this: (10!/(5!×5!) - 1) × (10!/(5!×5!) - 2) × (10!/(5!×5!) - 3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046175574571372500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:28:13", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046175572755235000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046177277853048800, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 16:35:00", "content": "i don't understand what it asks, do you have the answer?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046179348471877800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:43:13", "content": "@puncher Has your question been resolved?", "attachments": [], "mentions": [ { "id": 639133893395480600, "name": "puncher", "discriminator": "0307", "nickname": "puncher", "isBot": false } ], "reference": null }, { "id": 1046183125186777100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 16:58:14", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046183723357458600, "author_id": 639133893395480600, "author_name": "puncher", "timestamp": "11/26/2022 17:00:36", "content": ".reopen", "attachments": [], "mentions": [], "reference": null }, { "id": 1046183732954017900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 17:00:39", "content": "✅", "attachments": [], "mentions": [], "reference": null }, { "id": 1046183987451789300, "author_id": 639133893395480600, "author_name": "puncher", "timestamp": "11/26/2022 17:01:39", "content": "Answer is 15813000", "attachments": [], "mentions": [ { "id": 141791176540946430, "name": "frownyfrog", "discriminator": "3707", "nickname": "frownyfrog", "isBot": false } ], "reference": null }, { "id": 1046187763214602200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 17:16:39", "content": "@puncher Has your question been resolved?", "attachments": [], "mentions": [ { "id": 639133893395480600, "name": "puncher", "discriminator": "0307", "nickname": "puncher", "isBot": false } ], "reference": null }, { "id": 1046189907619631100, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 17:25:11", "content": "that's what you did except −0, −1, −2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046190081876185100, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 17:25:52", "content": "i don't understand it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046195347657084900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 17:46:48", "content": "@puncher Has your question been resolved?", "attachments": [], "mentions": [ { "id": 639133893395480600, "name": "puncher", "discriminator": "0307", "nickname": "puncher", "isBot": false } ], "reference": null }, { "id": 1046195707062784000, "author_id": 639133893395480600, "author_name": "puncher", "timestamp": "11/26/2022 17:48:13", "content": "But why -0, -1, -2", "attachments": [], "mentions": [ { "id": 141791176540946430, "name": "frownyfrog", "discriminator": "3707", "nickname": "frownyfrog", "isBot": false } ], "reference": null }, { "id": 1046195770782658700, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 17:48:29", "content": "i don't know", "attachments": [], "mentions": [], "reference": null }, { "id": 1046198669273202800, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 18:00:00", "content": "i guess it's a bit more than yours because you can actually go back to some previous composition temporarily", "attachments": [], "mentions": [], "reference": null }, { "id": 1046201004649099400, "author_id": 141791176540946430, "author_name": "frownyfrog", "timestamp": "11/26/2022 18:09:16", "content": "i can't find anything that gives that answer though", "attachments": [], "mentions": [], "reference": null }, { "id": 1046202899530797200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 18:16:48", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046206121578344600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 18:29:36", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046206755450921000, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:32:08", "content": "Give an example of the following (draw a graph to explain your reasoning)\n\nA function that exists on [0,2] and has a minimum value on [0,2] but doesn't have maximum there \n\nCan someone please help?.I'm not sure how to go about this qs", "attachments": [], "mentions": [], "reference": null }, { "id": 1046206757506138200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 18:32:08", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046206755450921000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046206952172179500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:32:54", "content": "hint: it will need to be not continuous", "attachments": [], "mentions": [], "reference": null }, { "id": 1046207207647236100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:33:55", "content": "do you need to define the function or just draw a graph?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046209091682455600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:41:25", "content": "@Deleted User you there? 🙂", "attachments": [], "mentions": [ { "id": 456226577798135800, "name": "Deleted User", "discriminator": "0000", "nickname": "Deleted User", "isBot": false } ], "reference": null }, { "id": 1046209617803354200, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:43:30", "content": "Sorry for the late response went away for a bit", "attachments": [], "mentions": [], "reference": null }, { "id": 1046209885500620800, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:44:34", "content": "Um, I guess just the graph?\n\nThe question is\n\nGive an example for each of the following: (draw a graph to explain your reasoning.)", "attachments": [], "mentions": [ { "id": 984319941417251000, "name": "💜𝓁𝒶𝓎𝓁𝒶💜", "discriminator": "4139", "nickname": "💜𝓁𝒶𝓎𝓁𝒶💜", "isBot": false } ], "reference": null }, { "id": 1046209974327595100, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:44:55", "content": "Hm, but they asked for example", "attachments": [], "mentions": [], "reference": null }, { "id": 1046209989267697800, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:44:59", "content": "Both", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210009391976600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:45:03", "content": "haha ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210208503963800, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:45:51", "content": "How do I think of a random function that is in the interval 0 to 2 and doesn't have a max", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210310115164200, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:46:15", "content": "can you think of any function at all that has no max?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210333632639000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:46:21", "content": "ignoring the [0,2] part", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210427119468700, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:46:43", "content": "Yes tan(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210610653839400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:47:27", "content": "ok i think you could make that work but it will be maybe more complicated than needed", "attachments": [], "mentions": [], "reference": null }, { "id": 1046210873519247500, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:48:29", "content": "I think I should ignore the function part for now cause my instructor didn't teach that \nI'll confirm that from him, thank you. \n\nI'll just practice making graphs", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211207675256800, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:49:49", "content": "But for it's graph\n\nShould I make an interval \n0 to 2 and start from a min point say min is at y=1 when x=0 and take it to inf?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211375506149500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:50:29", "content": "something like that", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211425573548000, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:50:41", "content": "Okie thank you so much!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211555177533400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:51:12", "content": "something like this is also fine", "attachments": [ { "id": 1046211554909093900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046211554909093890/image.png", "fileName": "image.png", "fileSizeBytes": 9345 } ], "mentions": [], "reference": null }, { "id": 1046211662597857300, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:51:38", "content": "ah okay 👍", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211803497103500, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:52:11", "content": "very not detailed drawing but i hope the idea went through well enough lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211952952758300, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:52:47", "content": "What if they say it doesn't have neither Min nor max \nShould I make a straight line?\nIn the given interval", "attachments": [], "mentions": [], "reference": null }, { "id": 1046211954345263200, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/26/2022 18:52:47", "content": "Mfw the point is all the way in hell", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212069931888800, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:53:15", "content": "straight horizontal line would have a min and max", "attachments": [], "mentions": [ { "id": 456226577798135800, "name": "Deleted User", "discriminator": "0000", "nickname": "Deleted User", "isBot": false } ], "reference": null }, { "id": 1046212101137502300, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:53:22", "content": "Oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212125061816400, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:53:28", "content": "you could modify this a bit more", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212324517748900, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:54:15", "content": "Ah okay neither Min nor max is make tanx \nThank you!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212500535906300, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:54:57", "content": "is the [0,2] restriction still there?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212570278793300, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:55:14", "content": "Yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212640306901000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:55:31", "content": "tan has a minimum on [0,2]", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212694711222400, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:55:44", "content": "I'll make tanx like graph on the interval [0,2]", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212725845545100, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:55:51", "content": "Won't specify the function", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212939146862700, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:56:42", "content": "just remember to also define the function (in the drawing i mean) at 0 and 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046212964232986600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:56:48", "content": "you could make them whatever you want", "attachments": [], "mentions": [], "reference": null }, { "id": 1046213112669409300, "author_id": 456226577798135800, "author_name": "Deleted User", "timestamp": "11/26/2022 18:57:23", "content": "okie 👍", "attachments": [], "mentions": [], "reference": null }, { "id": 1046213456963055600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/26/2022 18:58:45", "content": "another thing you can do is just raise the far right point up a little bit on this drawing", "attachments": [], "mentions": [], "reference": null }, { "id": 1046216888537067600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 19:12:23", "content": "@Deleted User Has your question been resolved?", "attachments": [], "mentions": [ { "id": 456226577798135800, "name": "Deleted User", "discriminator": "0000", "nickname": "Deleted User", "isBot": false } ], "reference": null }, { "id": 1046220665109348500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 19:27:24", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046223349694595100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 19:38:04", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225104612360200, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:45:02", "content": "", "attachments": [ { "id": 1046225104289407000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046225104289407026/image.png", "fileName": "image.png", "fileSizeBytes": 81346 } ], "mentions": [], "reference": null }, { "id": 1046225106738884600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 19:45:03", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046225104612360200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046225181464596600, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:45:21", "content": "so I set up an integral...", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225322217066500, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:45:54", "content": "$\\int_{a}^{b}\\pi[f(x)-g(x)]^2dx$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225517721944200, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/26/2022 19:46:41", "content": "**Dr. Leonard McCoy**", "attachments": [ { "id": 1046225517793263700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046225517793263777/108728149944057856.png", "fileName": "108728149944057856.png", "fileSizeBytes": 11177 } ], "mentions": [], "reference": null }, { "id": 1046225552505323600, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:46:49", "content": "I figured I would use the disk method", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225756423999600, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:47:38", "content": "and just subtract the area between functions", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225779517817000, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:47:43", "content": "but now I'm thinking maybe that's not quite right", "attachments": [], "mentions": [], "reference": null }, { "id": 1046225921083977700, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:48:17", "content": "I think because there's space between the shaded area and the x-axis, I might have to adjust my approach", "attachments": [], "mentions": [], "reference": null }, { "id": 1046227261222830200, "author_id": 594242143867109400, "author_name": "Tronsi", "timestamp": "11/26/2022 19:53:37", "content": "since there's a gap, you'd want washer's method", "attachments": [], "mentions": [], "reference": null }, { "id": 1046228128374214800, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 19:57:03", "content": "ahh, ty", "attachments": [], "mentions": [], "reference": null }, { "id": 1046231854132498600, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:11:52", "content": "so it looks like... the general idea of the washer method...", "attachments": [], "mentions": [], "reference": null }, { "id": 1046231902081777800, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:12:03", "content": "is that you have two radii", "attachments": [], "mentions": [], "reference": null }, { "id": 1046231976832663600, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:12:21", "content": "to account for", "attachments": [], "mentions": [], "reference": null }, { "id": 1046232106067570700, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:12:52", "content": "you don't integrate the area between functions, but rather, the area of the outer radius minus the area of the inner radius", "attachments": [], "mentions": [], "reference": null }, { "id": 1046232268873670800, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:13:30", "content": "more or less", "attachments": [], "mentions": [], "reference": null }, { "id": 1046234202628165800, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:21:11", "content": "", "attachments": [ { "id": 1046234202397491300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046234202397491332/PXL_20221127_012049713.jpg", "fileName": "PXL_20221127_012049713.jpg", "fileSizeBytes": 435781 } ], "mentions": [], "reference": null }, { "id": 1046234233489862800, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:21:19", "content": "is this the correct setup?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046234285646041100, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:21:31", "content": "I believe so", "attachments": [], "mentions": [], "reference": null }, { "id": 1046234840820895900, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:23:44", "content": "", "attachments": [ { "id": 1046234840573415400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046234840573415485/PXL_20221127_012325933.jpg", "fileName": "PXL_20221127_012325933.jpg", "fileSizeBytes": 530199 } ], "mentions": [], "reference": null }, { "id": 1046238617422532700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 20:38:44", "content": "@Dr. Leonard McCoy Has your question been resolved?", "attachments": [], "mentions": [ { "id": 108728149944057860, "name": "Dr. Leonard McCoy", "discriminator": "5440", "nickname": "Dr. Leonard McCoy", "isBot": false } ], "reference": null }, { "id": 1046241924085981300, "author_id": 108728149944057860, "author_name": "Dr. Leonard McCoy", "timestamp": "11/26/2022 20:51:52", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046241926522880000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 20:51:53", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046261530888503400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 22:09:47", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046266156593459300, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:28:10", "content": "can you guys help me here make like this", "attachments": [ { "id": 1046266156329210000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046266156329209946/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 191193 } ], "mentions": [], "reference": null }, { "id": 1046266159164567600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 22:28:11", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046266156593459300, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046266213459824600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:28:23", "content": "and this is the given", "attachments": [ { "id": 1046266213178802200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046266213178802206/image.png", "fileName": "image.png", "fileSizeBytes": 13457 } ], "mentions": [], "reference": null }, { "id": 1046266496369832000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:29:31", "content": "@Helpers uhm...", "attachments": [], "mentions": [], "reference": null }, { "id": 1046266984687472600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:31:27", "content": "i mean u need to be like this", "attachments": [], "mentions": [], "reference": null }, { "id": 1046267076970565600, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:31:49", "content": "https://tenor.com/view/hypotenuse-a2b2-square-geometry-trigonometry-gif-18715277", "attachments": [], "mentions": [], "reference": null }, { "id": 1046267213335760900, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:32:22", "content": "huh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046267311432151200, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:32:45", "content": "Or trigonometry", "attachments": [], "mentions": [], "reference": null }, { "id": 1046267329291505700, "author_id": 892461143442985000, "author_name": "Phsynox", "timestamp": "11/26/2022 22:32:50", "content": "c is hypotenuse\nc^2=b^2+a^2\nc^2=22^2+26^2\nc=√1160\nc=34.1", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046267505372581900, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:33:31", "content": "find the sine ? i guess", "attachments": [], "mentions": [], "reference": null }, { "id": 1046267797782675500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:34:41", "content": "Just Pythagorean theorem", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046267909917376600, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:35:08", "content": "c²=a²+b²", "attachments": [], "mentions": [], "reference": null }, { "id": 1046268069976215600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:35:46", "content": "huh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046268334355775500, "author_id": 892461143442985000, "author_name": "Phsynox", "timestamp": "11/26/2022 22:36:49", "content": "https://www.mathsisfun.com/pythagoras.html", "attachments": [], "mentions": [], "reference": null }, { "id": 1046269590352691200, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:41:49", "content": "@yume", "attachments": [ { "id": 1046269590012960900, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046269590012960840/IMG_20221127_114122.jpg", "fileName": "IMG_20221127_114122.jpg", "fileSizeBytes": 2926760 } ], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046269854870667400, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:42:52", "content": "this is what i need to solve", "attachments": [], "mentions": [], "reference": null }, { "id": 1046269925695692900, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:43:09", "content": "Ohh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046269953415852200, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:43:15", "content": "Then it's the same thing", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270069019254800, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:43:43", "content": "This question is wrong tho", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270144000819200, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:44:01", "content": "mine?", "attachments": [], "mentions": [ { "id": 994286722357674100, "name": "Twerkingbee", "discriminator": "7740", "nickname": "Twerkingbee", "isBot": false } ], "reference": null }, { "id": 1046270155367399600, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:03", "content": "Weyt", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270167849652400, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:06", "content": "Yahhhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270185574764500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:11", "content": "", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270257125392500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:28", "content": "Oops", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270287471198300, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:44:35", "content": "How can hyp be smaller than the base", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046270324339118200, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:44", "content": "Yahhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270345746849900, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:44:49", "content": "The question is wrong", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270350180221000, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:44:50", "content": "Sussy baka", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270419465937000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:45:06", "content": "c=24 and the a=12", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270425342152800, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:45:08", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270490987208700, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:45:23", "content": "Should be", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270510130016300, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:45:28", "content": "U have made the diagram wrong", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270531848130700, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:45:33", "content": "Read the ques again", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270547237027800, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:45:37", "content": "Perhaps", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270741991141400, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:46:23", "content": "so how?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046270744860045400, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:46:24", "content": "Opposite is 22 and adj is 26 and u gotta find hyp", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046270778389303300, "author_id": 892461143442985000, "author_name": "Phsynox", "timestamp": "11/26/2022 22:46:32", "content": "yeah the hypotenuse", "attachments": [], "mentions": [ { "id": 994286722357674100, "name": "Twerkingbee", "discriminator": "7740", "nickname": "Twerkingbee", "isBot": false } ], "reference": null }, { "id": 1046270815492116600, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:46:41", "content": "What's the question btw", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046270846718709800, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:46:48", "content": "thats not mine its just ex", "attachments": [], "mentions": [ { "id": 994286722357674100, "name": "Twerkingbee", "discriminator": "7740", "nickname": "Twerkingbee", "isBot": false } ], "reference": null }, { "id": 1046270904411357200, "author_id": 892461143442985000, "author_name": "Phsynox", "timestamp": "11/26/2022 22:47:02", "content": "the hypotenuse needs to be the longest side", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271084393140400, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:47:45", "content": "I was just calculating cos and saw that its 2 i was like bruh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271301511282800, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:48:37", "content": "I think here c is 24 and b or a is 12", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271356708339700, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:48:50", "content": "oww okiee", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271472760529000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:49:17", "content": "", "attachments": [ { "id": 1046271472462741500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046271472462741556/image.png", "fileName": "image.png", "fileSizeBytes": 12516 } ], "mentions": [], "reference": null }, { "id": 1046271480754864300, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:49:19", "content": "this?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271558387241000, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:49:38", "content": "Mhm", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271688813334500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:50:09", "content": "Is it a worded problem?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271800218222700, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:50:35", "content": "Like you're gonna make a diagram and solve for the missing sides?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271806316744800, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:50:37", "content": "Now alpha is 60 degrees as cos alpha is 1/2", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046271890915872800, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:50:57", "content": "Now just use tan 60 to find b", "attachments": [], "mentions": [], "reference": null }, { "id": 1046271921555263600, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:51:04", "content": "Or use old school pgt", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272025280380900, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:51:29", "content": "its just say make own problem and the answer should be sine", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272122361741400, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:51:52", "content": "Eh?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272128246358000, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/26/2022 22:51:54", "content": "Huh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272263294566500, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:52:26", "content": "you need to make own problem about solving right triangle given two sides", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272377073455200, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:52:53", "content": "Ohhh then you need to find the angle??", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272436368330800, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:53:07", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272472934252500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:53:16", "content": "Ohh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046272649061486700, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:53:58", "content": "need to be like this", "attachments": [ { "id": 1046272648675606700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046272648675606629/image.png", "fileName": "image.png", "fileSizeBytes": 135375 } ], "mentions": [], "reference": null }, { "id": 1046272994651164800, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 22:55:20", "content": "Well you can just change the values right there", "attachments": [], "mentions": [], "reference": null }, { "id": 1046273230886948900, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 22:56:17", "content": "where", "attachments": [], "mentions": [], "reference": null }, { "id": 1046276441052037100, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:09:02", "content": "Your a and c", "attachments": [], "mentions": [], "reference": null }, { "id": 1046276620429832200, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:09:45", "content": "this?", "attachments": [ { "id": 1046276619955863600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046276619955863562/AC627D4A-7940-43E6-B1E9-538A818F665C.jpg", "fileName": "AC627D4A-7940-43E6-B1E9-538A818F665C.jpg", "fileSizeBytes": 2227279 } ], "mentions": [], "reference": null }, { "id": 1046277070466068500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:11:32", "content": "Nohhhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277103190032500, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:11:40", "content": "howw", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277126384517100, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:11:45", "content": "That's incorrect", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277168361115600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:11:55", "content": "my solve or the given", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277198975340500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:12:03", "content": "Your solution", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277230562656400, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:12:10", "content": "You're finding b", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277254033985500, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:12:16", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277367670251600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:12:43", "content": "ohh it should be b^2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277379447857300, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:12:46", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046277410158555100, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:12:53", "content": "Wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1046278010053075000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:15:16", "content": "okk", "attachments": [], "mentions": [], "reference": null }, { "id": 1046278039996203000, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:15:23", "content": "", "attachments": [ { "id": 1046278039497101300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046278039497101353/IMG_20221127_121503.jpg", "fileName": "IMG_20221127_121503.jpg", "fileSizeBytes": 3518824 } ], "mentions": [], "reference": null }, { "id": 1046278448773079000, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:17:01", "content": "Now you can solve for the angle", "attachments": [], "mentions": [], "reference": null }, { "id": 1046278723860705300, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:18:06", "content": "how to solve the data", "attachments": [], "mentions": [], "reference": null }, { "id": 1046278767384989800, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:18:17", "content": "the something circle and line", "attachments": [], "mentions": [], "reference": null }, { "id": 1046278938357420200, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/26/2022 23:18:57", "content": "Do you know any trig functions", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046279019273920600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:19:17", "content": "i dont think so", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279235951661200, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:20:08", "content": "You can use sine, cos or tangent from there", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279278167334900, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:20:18", "content": "To find the angle", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279372950229100, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:20:41", "content": "SOHCAHTOA?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279426570203300, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:20:54", "content": "Yes", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046279507100848100, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:21:13", "content": "the opp there is 12 right?", "attachments": [], "mentions": [ { "id": 876708159643852800, "name": "RV", "discriminator": "4775", "nickname": "RV", "isBot": false } ], "reference": null }, { "id": 1046279541678682100, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:21:21", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279613887807600, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:21:38", "content": "It's the side opposite to your angle or theta", "attachments": [], "mentions": [], "reference": null }, { "id": 1046279894822293600, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:22:45", "content": "okk wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1046280972364157000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:27:02", "content": "", "attachments": [ { "id": 1046280971781157000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046280971781157014/D7F81A5B-385E-491F-9B1C-15B24BB75ECD.jpg", "fileName": "D7F81A5B-385E-491F-9B1C-15B24BB75ECD.jpg", "fileSizeBytes": 3651767 } ], "mentions": [], "reference": null }, { "id": 1046280984628310100, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:27:05", "content": "this?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046281848973697000, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:30:31", "content": "this is all its right?", "attachments": [ { "id": 1046281848550076700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046281848550076617/BCEB0204-3917-44A6-8ADE-A5E7F5DCC9FC.jpg", "fileName": "BCEB0204-3917-44A6-8ADE-A5E7F5DCC9FC.jpg", "fileSizeBytes": 3774470 } ], "mentions": [], "reference": null }, { "id": 1046283528805023900, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:37:12", "content": "Yess", "attachments": [], "mentions": [], "reference": null }, { "id": 1046283561793224800, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/26/2022 23:37:20", "content": "Thats correct", "attachments": [], "mentions": [], "reference": null }, { "id": 1046284726178164900, "author_id": 855478057514172500, "author_name": "yume", "timestamp": "11/26/2022 23:41:57", "content": "thank you", "attachments": [], "mentions": [], "reference": null }, { "id": 1046288502062596100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/26/2022 23:56:57", "content": "@yume Has your question been resolved?", "attachments": [], "mentions": [ { "id": 855478057514172500, "name": "yume", "discriminator": "0002", "nickname": "yume", "isBot": false } ], "reference": null }, { "id": 1046289819615117400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:02:12", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046290072070266900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:03:12", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046290323950813200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:04:12", "content": "", "attachments": [ { "id": 1046290323002900500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046290323002900510/image.png", "fileName": "image.png", "fileSizeBytes": 24902 }, { "id": 1046290323346825200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046290323346825226/image.png", "fileName": "image.png", "fileSizeBytes": 27359 }, { "id": 1046290323673972700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046290323673972776/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 3593520 } ], "mentions": [], "reference": null }, { "id": 1046290328010895400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:04:13", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046290323950813200, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046290366376198100, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:04:22", "content": "How do you solve this equation? I don't understand the explanation Khan Academy gives and I don't know where I went wrong in my problem solving, as 5^1/3 should be able to be converted into 3√5 right", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291107308384300, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:07:19", "content": "Factor the expression", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291122164609000, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:07:22", "content": "5^1/3 = cubed root of 5", "attachments": [], "mentions": [ { "id": 404022328025022460, "name": "ecksky", "discriminator": "1175", "nickname": "ecksky", "isBot": false } ], "reference": null }, { "id": 1046291235834446000, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:07:49", "content": "is that what you wrote or did you write 3root(5) ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291398590206000, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:08:28", "content": "whats the difference", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291451463610500, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:08:41", "content": "i guess i wrote 3root(5)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291458388414500, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:08:42", "content": "3 * root(5) isnt the same as the cubed root of 5", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291479791931400, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:08:47", "content": "the cubed root of 8 is 2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291505800806400, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:08:54", "content": "because 2 * 2 * 2 = 8", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291519629443200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:08:57", "content": "or did i write cubed root of 5", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291606266970100, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:09:18", "content": "no i think i wrote cubed root of 5", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291638034645000, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:09:25", "content": "none of your working out makes any sense regardless", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291702916321300, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:09:41", "content": "how do you solve it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291792330498000, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:10:02", "content": "Factor out", "attachments": [], "mentions": [], "reference": null }, { "id": 1046291959045685200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:10:42", "content": "yes it says factor out 5^1/3 but i dont understand how it does it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292006214840300, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:10:53", "content": "5^1/3 (1-5)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292080374333400, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:11:11", "content": "I'm having lunch rn", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292094643359900, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:11:14", "content": "$x^a * x^b = x^{a+b}$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292105707933700, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:11:17", "content": "So I can't show you yet", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292364576182300, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:12:18", "content": "where do you use this formula", "attachments": [], "mentions": [ { "id": 510789298321096700, "name": "TeXit", "discriminator": "0796", "nickname": "TeXit", "isBot": true } ], "reference": null }, { "id": 1046292417025933300, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:12:31", "content": "It's a rule", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292480930349200, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/27/2022 00:12:46", "content": "this is incorrect", "attachments": [], "mentions": [ { "id": 1017308057761497100, "name": "cantprogram", "discriminator": "3779", "nickname": "cantprogram", "isBot": false } ], "reference": null }, { "id": 1046292514824523900, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:12:54", "content": "i dont see where you use it though since its 5^1/3 - 5^4/3", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292528607023100, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:12:57", "content": "oh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292535162708000, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:12:59", "content": "i meant a+b", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292546713829500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:13:02", "content": "Isn't it +", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292565068095500, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 00:13:06", "content": "**cantprogram**", "attachments": [ { "id": 1046292565160374300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046292565160374272/1017308057761497088.png", "fileName": "1017308057761497088.png", "fileSizeBytes": 4588 } ], "mentions": [], "reference": null }, { "id": 1046292569308536800, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:13:07", "content": "yeah sorry", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292839044227100, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:14:12", "content": "im not quite getting it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046292975312961500, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:14:44", "content": "Lemme finish my lunch first", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293001024065700, "author_id": 876708159643852800, "author_name": "RV", "timestamp": "11/27/2022 00:14:50", "content": "Real quick", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293051406037000, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:15:02", "content": "", "attachments": [ { "id": 1046293051003388000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046293051003387985/image.png", "fileName": "image.png", "fileSizeBytes": 18390 } ], "mentions": [], "reference": null }, { "id": 1046293074856390700, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:15:08", "content": "where did those numbers come from anyway", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293115134283900, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:15:17", "content": "is it because of the rule that they show above?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293243719057400, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:15:48", "content": "$\\frac{x^a}{x^b} = x^{a-b}$", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293254951420000, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 00:15:51", "content": "**cantprogram**", "attachments": [ { "id": 1046293255039492100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046293255039492096/1017308057761497088.png", "fileName": "1017308057761497088.png", "fileSizeBytes": 7217 } ], "mentions": [], "reference": null }, { "id": 1046293466621161600, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:16:41", "content": "where is that applied", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293515065372800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:16:53", "content": "Okay what they're doing is like", "attachments": [], "mentions": [ { "id": 404022328025022460, "name": "ecksky", "discriminator": "1175", "nickname": "ecksky", "isBot": false } ], "reference": null }, { "id": 1046293536821231600, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:16:58", "content": "Yeah it can be dizzying", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293570245623800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:17:06", "content": "Just know that 1 + 1/3 = 4/3", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293588591513600, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:17:10", "content": "That you can agree with, right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046293603540025300, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:17:14", "content": "yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294050225000400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:00", "content": "\\begin{align*}\n5^{\\frac{1}{3}} - 5^{\\frac{4}{3}} &= 5^{\\frac{1}{3}} - 5^{1 + \\frac{1}{3}} \\\\\n&= 5^{\\frac{1}{3}} - 5^15^{\\frac{1}{3}} \n\\end{align*}", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294076036751400, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:06", "content": "And I goofed up", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294186439217300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:33", "content": "Wtf", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294190297993200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:19:34", "content": "nice try", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294216042619000, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 00:19:40", "content": "**Umbraleviathan**", "attachments": [ { "id": 1046294215769993300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046294215769993287/349354952961032192.png", "fileName": "349354952961032192.png", "fileSizeBytes": 6880 } ], "mentions": [], "reference": null }, { "id": 1046294217560953000, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:40", "content": "The bot's actually dying", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294227941851300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:43", "content": "There", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294267645136900, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:19:52", "content": "You can factor out 5^(1/3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294331004297300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:20:07", "content": "The fraction rule doesn't need to apply here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294407239958500, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:20:25", "content": "mm ok i see now", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294653894402200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:21:24", "content": "how did they get -4 * 5^1/3? especially without a calculator", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294936120741900, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:22:31", "content": "they didnt calculate it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046294969910034600, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:22:40", "content": "the answer is just -4 * 5^(1/3)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295019436392400, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:22:51", "content": "how did they get that from 5^1/3 (1-5)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295065288519700, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:23:02", "content": "oh wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295097383321600, "author_id": 1017308057761497100, "author_name": "cantprogram", "timestamp": "11/27/2022 00:23:10", "content": "1-5 ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295104614322200, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:23:12", "content": "ok i just got confused cause they swapped the number", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295109903331500, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:23:13", "content": "anyway", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295168514535400, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:23:27", "content": "thank you everyone", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295176638902400, "author_id": 404022328025022460, "author_name": "ecksky", "timestamp": "11/27/2022 00:23:29", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295179394560100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:23:29", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033809858727772200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:31:17", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033810367610114000, "author_id": 1022141568737607800, "author_name": "♡A(lex)♡", "timestamp": "10/23/2022 14:33:18", "content": "I am having a hard time understanding the rearrangement theorem for absolutely convergent series", "attachments": [], "mentions": [], "reference": null }, { "id": 1033810370265108500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:33:19", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033810367610114000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033810447528370300, "author_id": 1022141568737607800, "author_name": "♡A(lex)♡", "timestamp": "10/23/2022 14:33:37", "content": "any way to conceptualise this idea better?", "attachments": [], "mentions": [], "reference": null }, { "id": 1033812837275029500, "author_id": 1022141568737607800, "author_name": "♡A(lex)♡", "timestamp": "10/23/2022 14:43:07", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1033812840341045400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:43:08", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046295431279280100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:24:30", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295479673172000, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:24:41", "content": "i have a complex looking series", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295482198143000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:24:42", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046295479673172000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046295518948622500, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:24:50", "content": "i need help to know if it converges or diverges", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295535998476400, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:24:55", "content": "lemme take a pic of the qs", "attachments": [], "mentions": [], "reference": null }, { "id": 1046295845177413600, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:26:08", "content": "", "attachments": [ { "id": 1046295845001240600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046295845001240616/rn_image_picker_lib_temp_33725eaa-2e47-45e4-a192-a8a54ec336d3.jpg", "fileName": "rn_image_picker_lib_temp_33725eaa-2e47-45e4-a192-a8a54ec336d3.jpg", "fileSizeBytes": 558271 } ], "mentions": [], "reference": null }, { "id": 1046295876492066800, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:26:16", "content": "qn m", "attachments": [], "mentions": [], "reference": null }, { "id": 1046296749947506700, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/27/2022 00:29:44", "content": "multiply the top and bottom by the radical conjugate", "attachments": [], "mentions": [], "reference": null }, { "id": 1046296786379214800, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:29:53", "content": "Maybe integral test if need be or use a conjugate", "attachments": [], "mentions": [], "reference": null }, { "id": 1046296799939412100, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:29:56", "content": "Bruh Riemann", "attachments": [], "mentions": [], "reference": null }, { "id": 1046296899726094300, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:30:20", "content": "i think ill use conjugate as i have yet to learn the integral test if im not wrong", "attachments": [], "mentions": [ { "id": 349354952961032200, "name": "Umbraleviathan", "discriminator": "3607", "nickname": "Umbraleviathan", "isBot": false } ], "reference": null }, { "id": 1046296983612170400, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:30:40", "content": "ty! If it doesn t work ill ask again", "attachments": [], "mentions": [], "reference": null }, { "id": 1046296992873201700, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:30:42", "content": "tysm!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046297346415280300, "author_id": 261933205387477000, "author_name": "riemann", "timestamp": "11/27/2022 00:32:06", "content": "umbruh", "attachments": [], "mentions": [ { "id": 349354952961032200, "name": "Umbraleviathan", "discriminator": "3607", "nickname": "Umbraleviathan", "isBot": false } ], "reference": null }, { "id": 1046297376664588300, "author_id": 349354952961032200, "author_name": "Umbraleviathan", "timestamp": "11/27/2022 00:32:13", "content": "Dumbruhleviathan", "attachments": [], "mentions": [], "reference": null }, { "id": 1046299052326780900, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:38:53", "content": "would the limit be infinity?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046299312411381800, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:39:55", "content": "", "attachments": [ { "id": 1046299312222642200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046299312222642186/rn_image_picker_lib_temp_e111e7ec-ea83-4b2f-a390-652dc0248776.jpg", "fileName": "rn_image_picker_lib_temp_e111e7ec-ea83-4b2f-a390-652dc0248776.jpg", "fileSizeBytes": 480746 } ], "mentions": [], "reference": null }, { "id": 1046299386155642900, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:40:12", "content": "sorry for the messy working TvT", "attachments": [], "mentions": [], "reference": null }, { "id": 1046300196549689500, "author_id": 835120698581057700, "author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "timestamp": "11/27/2022 00:43:26", "content": "i think i messed up the working lemme redo", "attachments": [], "mentions": [], "reference": null }, { "id": 1046303972178276400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 00:58:26", "content": "@🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧 Has your question been resolved?", "attachments": [], "mentions": [ { "id": 835120698581057700, "name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "discriminator": "9043", "nickname": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧", "isBot": false } ], "reference": null }, { "id": 1046307748838654100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 01:13:26", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046322365296033800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 02:11:31", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046324414008021000, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 02:19:40", "content": "All I know so far is (a,2^k)=1", "attachments": [ { "id": 1046324413848629200, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046324413848629278/IMG_0499.png", "fileName": "IMG_0499.png", "fileSizeBytes": 60164 } ], "mentions": [], "reference": null }, { "id": 1046324416126144500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 02:19:40", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046324414008021000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046324970965442600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 02:21:52", "content": "looks like lifting lemma :thonk:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046325601495162900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 02:24:23", "content": "Idk that", "attachments": [], "mentions": [], "reference": null }, { "id": 1046329377392177200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 02:39:23", "content": "@Faq Has your question been resolved?", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046336959074795500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 03:09:31", "content": "@Faq Has your question been resolved?", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046352162529218700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 04:09:55", "content": "@Faq Has your question been resolved?", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046352575689146400, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:11:34", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046352578373488600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 04:11:34", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046352585558339600, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:11:36", "content": ".reopen", "attachments": [], "mentions": [], "reference": null }, { "id": 1046352591799460000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 04:11:38", "content": "✅", "attachments": [], "mentions": [], "reference": null }, { "id": 1046352607926558700, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:11:42", "content": "", "attachments": [ { "id": 1046352607721042000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046352607721041991/IMG_0499.png", "fileName": "IMG_0499.png", "fileSizeBytes": 60164 } ], "mentions": [], "reference": null }, { "id": 1046356274897498100, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:26:16", "content": "holy crap thats a scary question", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356382934368300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:26:42", "content": ":thinkingbread:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356462454194200, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:01", "content": "wait wait wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356479147515900, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:04", "content": "isn't this question like", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356484260376600, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:06", "content": "bad", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356561041301500, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:24", "content": "let a=2^2000+1", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356561146150900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:27:24", "content": "Wdym", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356602661376000, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:34", "content": "this has n=1 as a solution so done?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356709205094400, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:27:59", "content": "now im confused", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356745838153700, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:28:08", "content": "question writers messed up probably", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356842273587200, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:28:31", "content": "it doesn't look like a is your choice", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356892487798800, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:28:43", "content": "Yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1046356933113819300, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:28:53", "content": "@💜𝓁𝒶𝓎𝓁𝒶💜 then what would the question by asking?", "attachments": [], "mentions": [ { "id": 984319941417251000, "name": "💜𝓁𝒶𝓎𝓁𝒶💜", "discriminator": "4139", "nickname": "💜𝓁𝒶𝓎𝓁𝒶💜", "isBot": false } ], "reference": null }, { "id": 1046356946984386600, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:28:56", "content": "be*", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357051586134000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:29:21", "content": "find the least positive integer n for each a", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357090861580300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:29:30", "content": "It works for all odd a", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357110839050400, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:29:35", "content": "what.", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357116107096000, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:29:36", "content": "no way", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357143877595300, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:29:43", "content": "bruh this is like some graduate shit im leaving", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357287113068700, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:30:17", "content": "i dont know any number theory because im bad", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357302300659700, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:30:21", "content": "cant help soz", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357360261726300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:30:35", "content": ":pensivebread:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357389034664000, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:30:41", "content": "Calm", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357593024635000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:31:30", "content": "is it find the least positive integer n that works for every a?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357616999280600, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:31:36", "content": "that's not how it reads to me", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357617267724300, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:31:36", "content": "id assume so", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357632136511500, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:31:39", "content": "yeah me too", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357641481420800, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:31:42", "content": "thats why i was confused", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357649937150000, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:31:44", "content": "surely it depends on a", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357751036641300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:32:08", "content": "Hm", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357837992955900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:32:28", "content": "I actually don’t know", "attachments": [], "mentions": [], "reference": null }, { "id": 1046357901981274100, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:32:44", "content": "probably this", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358073314390000, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:33:25", "content": "theres no way", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358085121347600, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:33:27", "content": "i know math is crazy", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358168541864000, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:33:47", "content": "it just seems hard to believe for every a there will exist an n where 2^2000 divides that thing", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358211915169800, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:33:58", "content": ",w 33^(2^1995) mod 2^2000", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358231901012000, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:34:02", "content": "bruh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358270106931300, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 04:34:11", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358336829935600, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:34:27", "content": ",w 17^(2^1996) mod 2^2000", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358343817625600, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 04:34:29", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358474415669400, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:35:00", "content": ",w 17^(2^1995) mod 2^2000", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358481806053400, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 04:35:02", "content": "Results provided by WolframAlpha", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358499946414100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:35:06", "content": ":catshrug:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358519730933900, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:35:11", "content": "answer depends on a", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358615117811700, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:35:34", "content": "👌", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358628766060500, "author_id": 915145402859278300, "author_name": "Deep.", "timestamp": "11/27/2022 04:35:37", "content": ":glassescat:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358641005035500, "author_id": 310599340961955840, "author_name": "ed", "timestamp": "11/27/2022 04:35:40", "content": "bruh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358642674389000, "author_id": 984319941417251000, "author_name": "💜𝓁𝒶𝓎𝓁𝒶💜", "timestamp": "11/27/2022 04:35:40", "content": "that's a reasonable looking number", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358713134497800, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:35:57", "content": "So like paremetise a", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358837722099700, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 04:36:27", "content": "", "attachments": [ { "id": 1046358837801795700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046358837801795665/118663865264242688.png", "fileName": "118663865264242688.png", "fileSizeBytes": 12064 } ], "mentions": [], "reference": null }, { "id": 1046358882517262300, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:36:38", "content": "i know that works", "attachments": [], "mentions": [], "reference": null }, { "id": 1046358937726885900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:36:51", "content": "No idea what this means", "attachments": [], "mentions": [], "reference": null }, { "id": 1046359017393492100, "author_id": 118663865264242690, "author_name": "夢雪", "timestamp": "11/27/2022 04:37:10", "content": "ν2(x) is the higher power of 2 that divides x", "attachments": [], "mentions": [], "reference": null }, { "id": 1046359081826390100, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:37:25", "content": "Okay", "attachments": [], "mentions": [], "reference": null }, { "id": 1046359531262853100, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 04:39:12", "content": ":thinkingbread:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046389731228930000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 06:39:12", "content": "@Faq Has your question been resolved?", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046396620465524700, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:06:35", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046396623191801900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:06:36", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046396633513996300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:06:38", "content": ".reopen", "attachments": [], "mentions": [], "reference": null }, { "id": 1046396639381823500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:06:39", "content": "✅", "attachments": [], "mentions": [], "reference": null }, { "id": 1046396659342528500, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:06:44", "content": "", "attachments": [ { "id": 1046396659128606800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046396659128606841/IMG_0499.png", "fileName": "IMG_0499.png", "fileSizeBytes": 60164 } ], "mentions": [], "reference": null }, { "id": 1046396990747054100, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "11/27/2022 07:08:03", "content": "impressive observation", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046397024385380400, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:08:11", "content": ":ff:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046398328461594600, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:13:22", "content": "Are you aware of euler's theorem?", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046398357800759300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:13:29", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046398479972450300, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:13:58", "content": "Just use that here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046398529779793900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:14:10", "content": "How?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046398540492050600, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:14:13", "content": "As", "attachments": [], "mentions": [ { "id": 263139077782503420, "name": "Faq", "discriminator": "5638", "nickname": "Faq", "isBot": false } ], "reference": null }, { "id": 1046399411233771600, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:17:40", "content": "Hm", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399422973628400, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:17:43", "content": ":thinkingbread:", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399583841951700, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:18:21", "content": "a^phi(2^k) = 1 mod 2^k", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399693795639300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:18:48", "content": "And phi(2^k)=2^[k-1]", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399799756333000, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:19:13", "content": "This means n divides 2^1999", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399819712843800, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:19:18", "content": "But what now?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046399944933781600, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:19:48", "content": "Well heres a hint for ya", "attachments": [ { "id": 1046399944652750800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046399944652750888/20221127_174821.jpg", "fileName": "20221127_174821.jpg", "fileSizeBytes": 239543 } ], "mentions": [], "reference": null }, { "id": 1046399993713532900, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:19:59", "content": "Yes", "attachments": [], "mentions": [], "reference": null }, { "id": 1046400018980032500, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:20:05", "content": "So n divides 2^1999", "attachments": [], "mentions": [], "reference": null }, { "id": 1046400094037086200, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:20:23", "content": "Mhm", "attachments": [], "mentions": [], "reference": null }, { "id": 1046400744993071200, "author_id": 994286722357674100, "author_name": "Twerkingbee", "timestamp": "11/27/2022 07:22:58", "content": "Now decomposition it is", "attachments": [], "mentions": [], "reference": null }, { "id": 1046403379187945500, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:33:26", "content": "Got it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046403404018233300, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:33:32", "content": "I got the answers thx", "attachments": [], "mentions": [], "reference": null }, { "id": 1046403445109829600, "author_id": 263139077782503420, "author_name": "Faq", "timestamp": "11/27/2022 07:33:42", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046403448054239200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:33:43", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046403704250699800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:34:44", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046404689186533400, "author_id": 332561465405866000, "author_name": "Kepe", "timestamp": "11/27/2022 07:38:39", "content": "if a function looks like this", "attachments": [], "mentions": [], "reference": null }, { "id": 1046404691942191200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:38:39", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046404689186533400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046404710443253800, "author_id": 332561465405866000, "author_name": "Kepe", "timestamp": "11/27/2022 07:38:44", "content": "", "attachments": [ { "id": 1046404710225170600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046404710225170513/SmartSelect_20221127-133800_Samsung_Notes.jpg", "fileName": "SmartSelect_20221127-133800_Samsung_Notes.jpg", "fileSizeBytes": 93464 } ], "mentions": [], "reference": null }, { "id": 1046404765283791000, "author_id": 332561465405866000, "author_name": "Kepe", "timestamp": "11/27/2022 07:38:57", "content": "Then are f(a), f(b) and f(c) all local maxima?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046404876059541500, "author_id": 332561465405866000, "author_name": "Kepe", "timestamp": "11/27/2022 07:39:23", "content": "there is a neighborhood so that f(b) >= f(x), specifically f(b) = f(x)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046404985874812900, "author_id": 332561465405866000, "author_name": "Kepe", "timestamp": "11/27/2022 07:39:49", "content": "So after the definition f(b) should be a local maximum, right?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046408761985749000, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 07:54:50", "content": "@Kepe Has your question been resolved?", "attachments": [], "mentions": [ { "id": 332561465405866000, "name": "Kepe", "discriminator": "5235", "nickname": "Kepe", "isBot": false } ], "reference": null }, { "id": 1046412538964881500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 08:09:50", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046415055148814500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 08:19:50", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046418277582245900, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/27/2022 08:32:38", "content": "Hello dumb question but", "attachments": [], "mentions": [], "reference": null }, { "id": 1046418281717846100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 08:32:39", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046418277582245900, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046418296595042300, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/27/2022 08:32:43", "content": "They say in the conclusion that the average height of f(x) on an interval is the average slope of its antiderivative F(x) on that interval\nso what's the link between f(x) slope and the area?\nBecause it only gives the link between average height and antiderivative slope here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046418387221364700, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/27/2022 08:33:05", "content": "https://www.youtube.com/watch?v=FnJqaIESC2s", "attachments": [], "mentions": [], "reference": null }, { "id": 1046420270006673400, "author_id": 1020689932634832900, "author_name": "lilisworld", "timestamp": "11/27/2022 08:40:33", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1046424045761077400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 08:55:34", "content": "@lilisworld Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1020689932634832900, "name": "lilisworld", "discriminator": "0022", "nickname": "lilisworld", "isBot": false } ], "reference": null }, { "id": 1046427782038700000, "author_id": 1040354967749402600, "author_name": "Z_If0s", "timestamp": "11/27/2022 09:10:24", "content": "pula", "attachments": [], "mentions": [], "reference": null }, { "id": 1046431623563984900, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 09:25:40", "content": "@lilisworld Has your question been resolved?", "attachments": [], "mentions": [ { "id": 1020689932634832900, "name": "lilisworld", "discriminator": "0022", "nickname": "lilisworld", "isBot": false } ], "reference": null }, { "id": 1046439172698816600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 09:55:40", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046439424877150200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 09:56:40", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046440572761690200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:01:14", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046440566726086800, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046441175063732400, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:03:38", "content": "the what", "attachments": [], "mentions": [], "reference": null }, { "id": 1046442721134518400, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:09:46", "content": "you need to use implicit differentiation", "attachments": [], "mentions": [], "reference": null }, { "id": 1046442739769815200, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:09:51", "content": "and then plug in x", "attachments": [], "mentions": [], "reference": null }, { "id": 1046442862780367000, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:10:20", "content": "you wouldnt know how to find the slope of a function f(3) = 6 right", "attachments": [], "mentions": [], "reference": null }, { "id": 1046442893843378300, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:10:27", "content": "the slope could be anything", "attachments": [], "mentions": [], "reference": null }, { "id": 1046443271477542900, "author_id": 456980743776763900, "author_name": "Bunny La Crème", "timestamp": "11/27/2022 10:11:57", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046443274979770400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:11:58", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046443527648845800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:12:58", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046443835288453100, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:14:12", "content": "Heu just need a quick answer, how do I prove that a function is two time derivative ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046443837515628500, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:14:12", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046443835288453100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046444021821751400, "author_id": 801848896509837300, "author_name": "Gloomy Lecherous wallflower", "timestamp": "11/27/2022 10:14:56", "content": "?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444047260209300, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:15:02", "content": "do I need to prove the continuity of the function on the domain ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444060547756200, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:15:06", "content": "is twice differentiable?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444121692324000, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:15:20", "content": "yes I meant that", "attachments": [], "mentions": [ { "id": 394938706760302600, "name": "heavy", "discriminator": "0201", "nickname": "heavy", "isBot": false } ], "reference": null }, { "id": 1046444178529337300, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:15:34", "content": "not all continuous functions are differentiable", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444311950131300, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:16:05", "content": "? I thought the opposite", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444409505460200, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:16:29", "content": "all differentiable functions are continuous", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444460860518500, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:16:41", "content": "not all continuous functions are differentiable", "attachments": [], "mentions": [], "reference": null }, { "id": 1046444614858575900, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:17:18", "content": "so how do I prove a function is twice differentiable without actually calcultating the second derivative", "attachments": [], "mentions": [], "reference": null }, { "id": 1046445007743230100, "author_id": 394938706760302600, "author_name": "heavy", "timestamp": "11/27/2022 10:18:51", "content": "what is your funciton", "attachments": [], "mentions": [], "reference": null }, { "id": 1046445055063371800, "author_id": 246787399991033860, "author_name": "rafilou2003", "timestamp": "11/27/2022 10:19:03", "content": "You can use results on sums, products, composition...", "attachments": [], "mentions": [], "reference": null }, { "id": 1046446101936472000, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:23:12", "content": "(1+x)ln(1+x)-x", "attachments": [], "mentions": [ { "id": 394938706760302600, "name": "heavy", "discriminator": "0201", "nickname": "heavy", "isBot": false } ], "reference": null }, { "id": 1046446387467927600, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:24:20", "content": "I already know it is twice differentiable, just don't know how to prove it, or I might have an idea but it's very long, and it shouldn't be that long", "attachments": [], "mentions": [], "reference": null }, { "id": 1046446596646260700, "author_id": 520648880606674940, "author_name": "OssihLikesBlue", "timestamp": "11/27/2022 10:25:10", "content": "it might not be as long as you think, if you just rewrite this as $\\ln(1+x) + x \\ln(1+x) - x$ this is a pretty easy function to differentiate twice", "attachments": [], "mentions": [], "reference": null }, { "id": 1046446673179717800, "author_id": 510789298321096700, "author_name": "TeXit", "timestamp": "11/27/2022 10:25:28", "content": "**OssihLikesBlue**", "attachments": [ { "id": 1046446673259405300, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046446673259405342/520648880606674944.png", "fileName": "520648880606674944.png", "fileSizeBytes": 41881 } ], "mentions": [], "reference": null }, { "id": 1046447122683277300, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:27:16", "content": "It's not what I am asked to, the next question is actually to differentiate it, which I have already done, I just need to use some kind of rule here to explain that it is actually twice differnetiable", "attachments": [], "mentions": [ { "id": 520648880606674940, "name": "OssihLikesBlue", "discriminator": "3950", "nickname": "OssihLikesBlue", "isBot": false } ], "reference": null }, { "id": 1046447693796495400, "author_id": 520648880606674940, "author_name": "OssihLikesBlue", "timestamp": "11/27/2022 10:29:32", "content": "Well you can say that the first term is the product of twice differentiable functions so it's twice differentiable (check that you know this and why) and the second term is a polynomial so is twice differentiable and so their sum is twice differentiable", "attachments": [], "mentions": [], "reference": null }, { "id": 1046447954560561300, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:30:34", "content": "Yeah I just saw it, thank you for your help, have a nice day", "attachments": [], "mentions": [ { "id": 520648880606674940, "name": "OssihLikesBlue", "discriminator": "3950", "nickname": "OssihLikesBlue", "isBot": false } ], "reference": null }, { "id": 1046447968133337100, "author_id": 956306592712773800, "author_name": "Shrek15", "timestamp": "11/27/2022 10:30:37", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046447970897375200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:30:38", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046450434644115600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:40:25", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046450911112872000, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:42:19", "content": "", "attachments": [ { "id": 1046450910932521000, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046450910932520960/Screenshot_2022-11-27-20-41-17-40.jpg", "fileName": "Screenshot_2022-11-27-20-41-17-40.jpg", "fileSizeBytes": 22625 } ], "mentions": [], "reference": null }, { "id": 1046450914099200100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:42:20", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046450911112872000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046451065152876700, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:42:56", "content": "needs someone guide to solve this question", "attachments": [], "mentions": [], "reference": null }, { "id": 1046451215405433000, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:43:31", "content": "do you know what span(v1,v2) means?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046451280052244600, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:43:47", "content": "Yes ik", "attachments": [], "mentions": [], "reference": null }, { "id": 1046451327041020000, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:43:58", "content": "alright", "attachments": [], "mentions": [], "reference": null }, { "id": 1046451440241086500, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:44:25", "content": "But how I can create vectors ?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046451723004293200, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:45:32", "content": "how did you define the span of two vectors?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046452314237571100, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:47:53", "content": "the Set of all the linear combinations of a number vectors.", "attachments": [], "mentions": [ { "id": 329277854187520000, "name": "Espio", "discriminator": "9979", "nickname": "Espio", "isBot": false } ], "reference": null }, { "id": 1046452463680639100, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:48:29", "content": "That's my question ⁉️", "attachments": [], "mentions": [ { "id": 150413816348278800, "name": "AI Parsimony Monster", "discriminator": "5157", "nickname": "AI Parsimony Monster", "isBot": false } ], "reference": null }, { "id": 1046452507116834800, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:48:39", "content": "ok, what's a linear combination", "attachments": [], "mentions": [], "reference": null }, { "id": 1046452529447313400, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:48:45", "content": "of v1 and v2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046452777699778700, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:49:44", "content": "V1+v2??", "attachments": [], "mentions": [ { "id": 329277854187520000, "name": "Espio", "discriminator": "9979", "nickname": "Espio", "isBot": false } ], "reference": null }, { "id": 1046452831718219900, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:49:57", "content": "thats an example of a linear combination", "attachments": [], "mentions": [], "reference": null }, { "id": 1046452936957505500, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:50:22", "content": "linear combination means that you're multiplying each vector by some number, and then adding them up", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453027244093600, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:50:43", "content": "ohh okay", "attachments": [], "mentions": [ { "id": 329277854187520000, "name": "Espio", "discriminator": "9979", "nickname": "Espio", "isBot": false } ], "reference": null }, { "id": 1046453171951780000, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:51:18", "content": "if I have n vectors: v1, v2, ..., vn, then a linear combination of these is something of the form a1*v1 + a2\\*v2 + ... + an\\*vn where each ak is a real number", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453255468761100, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:51:38", "content": "for example 3v1 + 5v2 is a linear combination", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453268865355800, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:51:41", "content": "you mean I can use any value for a??", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453286938607600, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:51:45", "content": "yep", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453312985252000, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:51:51", "content": "even 0", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453328437051500, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:51:55", "content": "Ahh thnkooo so much", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453398431617000, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:52:12", "content": "1*v1 + 0\\*v2 = v1 is a linear combination of v1 and v2", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453475699077100, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:52:30", "content": "so is 0*v1 + 0\\*v2 = 0 (the zero vector)", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453652992307200, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:53:13", "content": "This is also a linear combination of v1 and v2??", "attachments": [], "mentions": [ { "id": 329277854187520000, "name": "Espio", "discriminator": "9979", "nickname": "Espio", "isBot": false } ], "reference": null }, { "id": 1046453682868322300, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:53:20", "content": "yeah", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453739239780400, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:53:33", "content": "the span of v1 and v2 is the set of all of these", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453809175597000, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:53:50", "content": "alright!\nThnx once again", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453826158338000, "author_id": 1003577934256279600, "author_name": "scorpio", "timestamp": "11/27/2022 10:53:54", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046453829127905300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:53:55", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046453832768553100, "author_id": 329277854187520000, "author_name": "Espio", "timestamp": "11/27/2022 10:53:55", "content": "no problem", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454080672907300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:54:55", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454194296590300, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:55:22", "content": "I need help regarding chord-chord angles in circles", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454196704137200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 10:55:22", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046454194296590300, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046454250500260000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:55:35", "content": "hi", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454336139559000, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:55:55", "content": "", "attachments": [ { "id": 1046454335917273100, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046454335917273128/rn_image_picker_lib_temp_b736fdc8-970e-43b9-a5e3-884d3db44247.jpg", "fileName": "rn_image_picker_lib_temp_b736fdc8-970e-43b9-a5e3-884d3db44247.jpg", "fileSizeBytes": 273960 } ], "mentions": [], "reference": null }, { "id": 1046454451478741100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:56:23", "content": "PT * QS = ST * PQ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454549180858400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:56:46", "content": "Wait", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454565211471900, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:56:50", "content": "What", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454686741438600, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:57:19", "content": "what a problem", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454730634830000, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:57:29", "content": "it's a rule", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454867629183100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:58:02", "content": "but i think isn't work here", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454876756005000, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:58:04", "content": "", "attachments": [ { "id": 1046454876521103400, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046454876521103370/rn_image_picker_lib_temp_e4e8c1d6-0006-4303-87ff-b798ae8f9b55.jpg", "fileName": "rn_image_picker_lib_temp_e4e8c1d6-0006-4303-87ff-b798ae8f9b55.jpg", "fileSizeBytes": 276657 } ], "mentions": [], "reference": null }, { "id": 1046454916975165400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 10:58:14", "content": "This is the whole circle btw", "attachments": [], "mentions": [], "reference": null }, { "id": 1046454939100139500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:58:19", "content": "ohhh", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455148232327300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:59:09", "content": "i remember it", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455214640738300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:59:25", "content": "p = t", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455357989457900, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 10:59:59", "content": "S = Q", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455437760938100, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:00:18", "content": "Wait what?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455589900914800, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:00:54", "content": "i want to find same Angeles", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455666413408400, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:01:13", "content": "what is the sp", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455738022772700, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:01:30", "content": "It wasnt given", "attachments": [], "mentions": [], "reference": null }, { "id": 1046455905903976400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:02:10", "content": "Im trying to find arc PT but the only given was that angle R is 30°, and angle PDT is 82°", "attachments": [], "mentions": [], "reference": null }, { "id": 1046456479940620400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:04:27", "content": "If i try to find arc PT using angle R, i need to find R's major arc, but if i use angle PDT, I have to find the arc oposite to its intersepted arc", "attachments": [], "mentions": [], "reference": null }, { "id": 1046456551231201300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:04:44", "content": "PQ = TS", "attachments": [], "mentions": [], "reference": null }, { "id": 1046456658425036900, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:05:09", "content": "Yea, PQ=98 therefore TS=98 as well", "attachments": [], "mentions": [], "reference": null }, { "id": 1046456707208970400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:05:21", "content": "But how does that help me find the arcs?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046456812033036300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:05:46", "content": "find the angel of TQP or PST", "attachments": [], "mentions": [], "reference": null }, { "id": 1046457240808329200, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:07:28", "content": "How?", "attachments": [], "mentions": [], "reference": null }, { "id": 1046457770595057700, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:09:34", "content": "A much clearer look of the circle", "attachments": [ { "id": 1046457770318241800, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046457770318241792/rn_image_picker_lib_temp_89449cda-8d83-462c-9449-979e6c4c0381.jpg", "fileName": "rn_image_picker_lib_temp_89449cda-8d83-462c-9449-979e6c4c0381.jpg", "fileSizeBytes": 425058 } ], "mentions": [], "reference": null }, { "id": 1046458083011985500, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:10:49", "content": "2*30 = TP - SQ", "attachments": [], "mentions": [], "reference": null }, { "id": 1046458188230295600, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:11:14", "content": "i fund this", "attachments": [], "mentions": [], "reference": null }, { "id": 1046458579533697200, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:12:47", "content": "I dont have TP and SQ tho", "attachments": [], "mentions": [], "reference": null }, { "id": 1046458600748494800, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:12:52", "content": "ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1046458704377151600, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:13:17", "content": "it's hase an othet formol please a minet", "attachments": [], "mentions": [], "reference": null }, { "id": 1046459730266169300, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:17:21", "content": "Ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1046460757145043100, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:21:26", "content": "do you have final answer because i think pt = 120", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461099324751900, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:22:48", "content": "sorry ,i can't remember it because it is for 4 years ago", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461208041111700, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:23:14", "content": "Ahh thats ok", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461265075249300, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:23:27", "content": "I cant figure it out as well and its our current topic", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461416594481300, "author_id": 1045261994170781700, "author_name": "mojii", "timestamp": "11/27/2022 11:24:04", "content": "in past i remember prove a formula for it but i can't remember it now", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461654340206700, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:25:00", "content": "At least u tried", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461663592853600, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:25:02", "content": "Thanks", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461816919822300, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:25:39", "content": "@Helpers", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461893428121600, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:25:57", "content": "We're stuck in this question", "attachments": [], "mentions": [], "reference": null }, { "id": 1046461954253926400, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:26:12", "content": "This", "attachments": [], "mentions": [], "reference": null }, { "id": 1046464399373766700, "author_id": 739081945681756200, "author_name": "Emicality", "timestamp": "11/27/2022 11:35:55", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046464402318184600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 11:35:55", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1033813091739250800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:44:08", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1033813625745449100, "author_id": 431495242563452900, "author_name": "bento", "timestamp": "10/23/2022 14:46:15", "content": "Im a math student at a high-school level. How do I solve a system of three equations that has very high values?\n27050a+4390.7b+758.6c=93398 \n4390.7a+758.6b+145.2c=18680.6\n758.6a+145.2b+33c=4815", "attachments": [], "mentions": [], "reference": null }, { "id": 1033813628249440400, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 14:46:16", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1033813625745449100, "channelId": 486844875632017400, "guildId": null } }, { "id": 1033813801470001300, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 14:46:57", "content": "matrices", "attachments": [], "mentions": [], "reference": null }, { "id": 1033813867517722600, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 14:47:13", "content": "idk if they teach you them at highschool", "attachments": [], "mentions": [], "reference": null }, { "id": 1033813916507177000, "author_id": 806240719089303600, "author_name": "bo luo", "timestamp": "10/23/2022 14:47:25", "content": "but they're not too complicated when it comes to system of equations", "attachments": [], "mentions": [], "reference": null }, { "id": 1033813946966220900, "author_id": 431495242563452900, "author_name": "bento", "timestamp": "10/23/2022 14:47:32", "content": "they dont", "attachments": [], "mentions": [], "reference": null }, { "id": 1033814037009535100, "author_id": 607479321350635500, "author_name": "Pure", "timestamp": "10/23/2022 14:47:53", "content": "Calculator :catshrug:", "attachments": [], "mentions": [], "reference": null }, { "id": 1033814316002050000, "author_id": 431495242563452900, "author_name": "bento", "timestamp": "10/23/2022 14:49:00", "content": "that would be the easiest way out. my problem is though that im conducting a math investigation where i need to make calculations by hand, and that system of three eqatuons is my attempt at calcing a quadratic regression", "attachments": [], "mentions": [], "reference": null }, { "id": 1033814334851260500, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 14:49:04", "content": "Isolate for each variable and work your way to one variable to isolate", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033818091735502800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 15:04:00", "content": "@bento Has your question been resolved?", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033818382266552400, "author_id": 431495242563452900, "author_name": "bento", "timestamp": "10/23/2022 15:05:09", "content": "I know I have to do that. I just don’t know how, didn’t teach me in school", "attachments": [], "mentions": [ { "id": 255469578069606400, "name": "Mystifine", "discriminator": "4924", "nickname": "Mystifine", "isBot": false } ], "reference": null }, { "id": 1033819660195467400, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 15:10:14", "content": "Hold on", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033819674019893400, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 15:10:17", "content": "I’ll show ya in a bit", "attachments": [], "mentions": [], "reference": null }, { "id": 1033820801507537000, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 15:14:46", "content": "Ok let me show you an example", "attachments": [], "mentions": [], "reference": null }, { "id": 1033825933230088300, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 15:35:10", "content": "@bento Has your question been resolved?", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033836711429550200, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:17:59", "content": "Srry I just got home gimme", "attachments": [], "mentions": [], "reference": null }, { "id": 1033836720497623000, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:18:01", "content": "5 min", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840089933025300, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:31:25", "content": "", "attachments": [ { "id": 1033840089614270500, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1033840089614270484/unknown.png", "fileName": "unknown.png", "fileSizeBytes": 66517 } ], "mentions": [], "reference": null }, { "id": 1033840094173470800, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:31:26", "content": "@bento", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033840179649192100, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:31:46", "content": "I changed the numbers for it to be a bit easier for the sake of the example", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840321383113000, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:32:20", "content": "but basically you isolate for a variable so it represents the 2 other variables. Now you can subsitute this into one of the other equations to find it relative to the last variable", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840385795043500, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:32:35", "content": "you can replug it back to the original that represents 2 variables and get both variables to represent 1", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840411204145200, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:32:41", "content": "so for example I made a and b represent c", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840470436085800, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:32:55", "content": "so now all you have to do is subsistute a and b into one equaation and you only have one unknown which is c", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840493500584100, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:33:01", "content": "you can then solve for it using algebra", "attachments": [], "mentions": [], "reference": null }, { "id": 1033840552283750400, "author_id": 255469578069606400, "author_name": "Mystifine", "timestamp": "10/23/2022 16:33:15", "content": "once you find the value of c then you can plug that baack into the other equations to find a and b", "attachments": [], "mentions": [], "reference": null }, { "id": 1033845586606174200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 16:53:15", "content": "@bento Has your question been resolved?", "attachments": [], "mentions": [ { "id": 431495242563452900, "name": "bento", "discriminator": "8184", "nickname": "bento", "isBot": false } ], "reference": null }, { "id": 1033845898750464100, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "10/23/2022 16:54:30", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046464655322779800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 11:36:56", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046466082648621200, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 11:42:36", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046466080115261400, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046466632559644800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 11:44:47", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]

[ { "id": 1046471459322732700, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 12:03:58", "content": "Available help channel!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046471738755666000, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:05:05", "content": "I've got this in my book but don't understand how they go from 1/2 to sin(pi/6)", "attachments": [ { "id": 1046471738483015700, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046471738483015711/image.png", "fileName": "image.png", "fileSizeBytes": 12252 } ], "mentions": [], "reference": null }, { "id": 1046471740877971600, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 12:05:05", "content": "Pinned a message.", "attachments": [], "mentions": [], "reference": { "messageId": 1046471738755666000, "channelId": 486844875632017400, "guildId": null } }, { "id": 1046471854891737200, "author_id": 766268632703434800, "author_name": "kinglacto", "timestamp": "11/27/2022 12:05:32", "content": "sin(π/6) = 1/2 lol", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472072961990800, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:06:24", "content": "", "attachments": [ { "id": 1046472072479641600, "url": "https://cdn.discordapp.com/attachments/486844875632017408/1046472072479641610/20221127_180604.jpg", "fileName": "20221127_180604.jpg", "fileSizeBytes": 8625875 } ], "mentions": [], "reference": null }, { "id": 1046472108416442500, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:06:33", "content": "No", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472146169372800, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:06:42", "content": "And that's why I'm confused", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472271457419400, "author_id": 766268632703434800, "author_name": "kinglacto", "timestamp": "11/27/2022 12:07:12", "content": "it's calculating sine of π/6 degrees", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472369289572500, "author_id": 766268632703434800, "author_name": "kinglacto", "timestamp": "11/27/2022 12:07:35", "content": "this uses radians", "attachments": [], "mentions": [ { "id": 602845724295692300, "name": "Viki The Duck", "discriminator": "3983", "nickname": "Viki The Duck", "isBot": false } ], "reference": null }, { "id": 1046472453121122400, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:07:55", "content": "owwww", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472466995871700, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:07:58", "content": "now I see", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472474067484700, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:08:00", "content": "yea", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472571832508500, "author_id": 766268632703434800, "author_name": "kinglacto", "timestamp": "11/27/2022 12:08:23", "content": "wait no its the other way round i think", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472573623476200, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:08:24", "content": "π/6 = 30° lol thanks!!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472592942452700, "author_id": 766268632703434800, "author_name": "kinglacto", "timestamp": "11/27/2022 12:08:28", "content": "yea", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472609660932100, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:08:32", "content": "thanks!", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472619408502900, "author_id": 602845724295692300, "author_name": "Viki The Duck", "timestamp": "11/27/2022 12:08:34", "content": ".close", "attachments": [], "mentions": [], "reference": null }, { "id": 1046472622138986800, "author_id": 805217272087838700, "author_name": "Mathematics Bot", "timestamp": "11/27/2022 12:08:35", "content": "Channel closed", "attachments": [], "mentions": [], "reference": null } ]