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{
"id": 997484781140979700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 08:48:24",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 997492243353059500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 09:18:03",
"content": "Pinned a message.",
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"id": 997492430117015600,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/15/2022 09:18:47",
"content": "@Moderators",
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},
{
"id": 997492737421086800,
"author_id": 382564543085281300,
"author_name": "Lochverstärker",
"timestamp": "07/15/2022 09:20:01",
"content": ".close",
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"reference": null
},
{
"id": 997492739346284500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 09:20:01",
"content": "Channel closed",
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}
] |
help-9
|
6f4305337aa943cf9d95c8afa5fcec62
|
197,166 |
[
{
"id": 997494767741055000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 09:28:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997500545210253300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 09:51:02",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 997501168144109600,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 09:53:31",
"content": "I assume that \"relative\" extrema are another way of saying local extrema?",
"attachments": [],
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},
{
"id": 997501524798349300,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 09:54:56",
"content": "here's one thing we can say: f'(x) is a 4th degree (even) polynomial, meaning that f(x) is an odd degree polynomial. If an odd polynomial has a local minimum, it will also have a local maximum because of rotational symmetry.",
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},
{
"id": 997501921973768300,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 09:56:30",
"content": "Oh is that true",
"attachments": [],
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{
"id": 997501937610145800,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 09:56:34",
"content": "I never knew that",
"attachments": [],
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},
{
"id": 997502260252770400,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 09:57:51",
"content": "I know for a fact it's true about third degree polynomials, and I believe it to be so for higher degree odd polynomials, but I'll double check that to make sure. I just know that they all have that \"s\" shape, and that the center can be \"twisted\" to make humps (by changing the coefficients of some lower terms), but that twisting is symmetric",
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"id": 997502469368197100,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 09:58:41",
"content": "when I calculated it I got a relative minimum and a saddle, so I was confused",
"attachments": [],
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},
{
"id": 997502502800986100,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 09:58:49",
"content": "on why it would be A still",
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{
"id": 997502821513568400,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:00:05",
"content": "well, think about it like this: a local minimum is the lowest point of a CCU section, right?",
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},
{
"id": 997502960680583300,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:00:38",
"content": "in order for that CCU section to have a lowest point, there must be sections to the right and left that are higher than it, yes?",
"attachments": [],
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},
{
"id": 997502979601092600,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:00:43",
"content": "Yes",
"attachments": [],
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},
{
"id": 997503279984545900,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:01:54",
"content": "but odd functions have opposing end behavior, meaning if one side is going to infinity, the other is going to negative infinity. Now we have an issue: how can we have a local minimum, which requires both sides to be going up, if the end behavior of one of the ends *has* to be going down?",
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},
{
"id": 997503458414428300,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:02:37",
"content": "the answer: the end that must be going down must first go up, you'll have a point of inflection somewhere, and then it'll curve back down and shoot towards negative infinity.",
"attachments": [],
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},
{
"id": 997503805472116700,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:03:59",
"content": "that literally describes a local maximum: the highest point of a CCD section. We know there has to be a CCD section because of that necessary POI, and we know it has to go from a positive slope to a negative slope (or vice versa) in order to get to negative infinity in its end behavior",
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{
"id": 997503910069669900,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:04:24",
"content": "Ohhhh",
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},
{
"id": 997503935290036200,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:04:30",
"content": "I understand it now",
"attachments": [],
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},
{
"id": 997503979292459000,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:04:41",
"content": "Thank you very much",
"attachments": [],
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"reference": null
},
{
"id": 997504162277376100,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:05:25",
"content": "good. I was just typing as I went and talked it out 😅",
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},
{
"id": 997504290706948200,
"author_id": 197520781616349200,
"author_name": "GoldenPhoenix",
"timestamp": "07/15/2022 10:05:55",
"content": "but we have now learned: if there is a local minimum in an odd polynomial, there must also be a local maximum somewhere",
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},
{
"id": 997504604948406300,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:07:10",
"content": "You explained it well",
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"id": 997505010365644800,
"author_id": 774034278689931300,
"author_name": "cvv",
"timestamp": "07/15/2022 10:08:47",
"content": ".close",
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},
{
"id": 997505012257263600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 10:08:47",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
6a3207bf84e04c0a9732676efc7f2dcb
|
197,167 |
[
{
"id": 997505265127657500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 10:09:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997511083600400400,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:32:55",
"content": "What is this ?",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/997511082799284254/2743-c32ce93403e1a9d7a61c35c45ff5c13c.png",
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"id": 997511086121177200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 10:32:55",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 997511194422292500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:33:21",
"content": "some kind of formula written in latex but painfully low resolution",
"attachments": [],
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"reference": null
},
{
"id": 997511243906687100,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:33:33",
"content": "here i will see if i can fix",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997511366829158400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:34:02",
"content": "$A \\sum_{i=1}^n L_iB_i \\frac{C_i}{N} \\prod_{i=1}^n \\paren{1 + M_i \\sqrt{\\frac{C_i}{N}}}$",
"attachments": [],
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"reference": null
},
{
"id": 997511376555737100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/15/2022 10:34:05",
"content": "**Ann**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/997511376652226621/183668144404037632.png",
"fileName": "183668144404037632.png",
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{
"id": 997511380913623000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:34:06",
"content": "here",
"attachments": [],
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},
{
"id": 997511425205485700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:34:16",
"content": "this is your formula typed out exactly as you showed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997511490363994200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:34:32",
"content": "well, i guess it's only a formula in the typographical sense. there's not even an equals sign here.",
"attachments": [],
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},
{
"id": 997511736678695000,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:35:30",
"content": "yes i have no idea what it is. I just wanted to know the name of it",
"attachments": [],
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"reference": null
},
{
"id": 997511804970348700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:35:47",
"content": "it does not have a nma",
"attachments": [],
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"reference": null
},
{
"id": 997511812155191400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:35:48",
"content": "name*",
"attachments": [],
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"reference": null
},
{
"id": 997511855197126800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:35:59",
"content": "at least not that i personally know of",
"attachments": [],
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},
{
"id": 997511878236438500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:36:04",
"content": "where did you see this formula?",
"attachments": [],
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},
{
"id": 997512163012903000,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:37:12",
"content": "I will try to find the link its in a forum",
"attachments": [],
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"reference": null
},
{
"id": 997512956726227100,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:40:21",
"content": "https://mortalonline2.com/forums/threads/alchemy-demystified.3348/",
"attachments": [],
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},
{
"id": 997513318744981500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:41:48",
"content": "so it appears that it is some potion-related calculation in a game, nothing more.",
"attachments": [],
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"reference": null
},
{
"id": 997513333727035400,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:41:51",
"content": "i was just curious what it was. I've never seen nothin like that",
"attachments": [],
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"reference": null
},
{
"id": 997513680071700600,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:43:14",
"content": "So its just a formula?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997513870086254700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 10:43:59",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 997513925077774500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:44:12",
"content": "Product my beloved",
"attachments": [],
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"reference": null
},
{
"id": 997514000910794900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:44:30",
"content": "The giant Π is \"product\"",
"attachments": [],
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"reference": null
},
{
"id": 997514050437132300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:44:42",
"content": "I'm not sure if the product is a part of the sum though",
"attachments": [],
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},
{
"id": 997514262022979600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:45:32",
"content": "Whatever the game developers were doing, they sure made it fun",
"attachments": [],
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},
{
"id": 997514273846734800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:45:35",
"content": "And painful",
"attachments": [],
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},
{
"id": 997514604458561500,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:46:54",
"content": "I see. it hurts my head just lookin at it.",
"attachments": [],
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},
{
"id": 997514664537772000,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:47:08",
"content": "Thanks for the help I really appreciate it.",
"attachments": [],
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},
{
"id": 997514713342672900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/15/2022 10:47:20",
"content": "Np",
"attachments": [],
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},
{
"id": 997514928061677600,
"author_id": 558606042288881660,
"author_name": "MahnaMahna",
"timestamp": "07/15/2022 10:48:11",
"content": "Is it as complicated as it looks or is there a calculator i could use? XD",
"attachments": [],
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},
{
"id": 997518704151633900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 11:03:12",
"content": "@MahnaMahna Has your question been resolved?",
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"id": 997519337839657000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 11:05:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a005ff9889454ea98c0aa712beb07f6d
|
197,168 |
[
{
"id": 997537798800293900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 12:19:04",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 997539200431820800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 12:24:38",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 997542997535232000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 12:39:44",
"content": "@k4 Has your question been resolved?",
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"id": 997550690845073400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 13:10:18",
"content": "@k4 Has your question been resolved?",
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{
"id": 997559913280716800,
"author_id": 382564543085281300,
"author_name": "Lochverstärker",
"timestamp": "07/15/2022 13:46:57",
"content": "you use qmnn + wmn = x to deduce x= mn(qn +n)\nwhere did the w go? @k4",
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"id": 997560789428871300,
"author_id": 382564543085281300,
"author_name": "Lochverstärker",
"timestamp": "07/15/2022 13:50:25",
"content": "if you want a similar argument, then assume there are numbers that cannot be factored into a product of primes but chooese the smallest one",
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},
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"id": 997560810064847000,
"author_id": 382564543085281300,
"author_name": "Lochverstärker",
"timestamp": "07/15/2022 13:50:30",
"content": "and derive a contradiction",
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"timestamp": "07/15/2022 14:13:27",
"content": "@k4 Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
cdc79e6362694d24b238804b4ff3fa8d
|
197,169 |
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"id": 997567290990141600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 14:16:16",
"content": "Available help channel!",
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"id": 997568054290554900,
"author_id": 205741792174276600,
"author_name": "Anton.",
"timestamp": "07/15/2022 14:19:18",
"content": "Given a linear code $C\\subset \\mathbb{F}_3^3$ through it's generating matrix $G=\\begin{pmatrix} 1 & 2 & 0 \\\\ 1 & 0 & 2 \\end{pmatrix}$, how can I show that $C$ is a cyclic code?",
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"timestamp": "07/15/2022 14:19:18",
"content": "Pinned a message.",
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"id": 997568065824891000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/15/2022 14:19:20",
"content": "**Anton.**",
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"id": 997569391455649800,
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"author_name": "Denascite",
"timestamp": "07/15/2022 14:24:36",
"content": "well the easy way would be to just calculate all elements of the code. it's not that big in this case",
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"id": 997569852820693100,
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"timestamp": "07/15/2022 14:26:26",
"content": "I see",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/15/2022 14:27:09",
"content": "there is also an approach described here https://math.stackexchange.com/questions/3996393/checking-whether-a-code-is-cyclic-by-using-the-generator-matrix",
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"timestamp": "07/15/2022 14:46:21",
"content": "@Anton. Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
5367e2193e1247c4bf8fbae6e0ab6764
|
197,170 |
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"timestamp": "07/15/2022 14:50:40",
"content": "Available help channel!",
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"id": 997576701880053800,
"author_id": 803698517519892500,
"author_name": "galactica",
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"content": "Pinned a message.",
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"id": 997576722914480100,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:53:44",
"content": "confused on the \"evaluate\"",
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"id": 997576813540806700,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:54:06",
"content": "evaluate means its looking for a number, not a fraction?",
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"id": 997576828594176000,
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"author_name": "galactica",
"timestamp": "07/15/2022 14:54:10",
"content": "so would I put the decimal?",
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"id": 997576964749660300,
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"author_name": "galactica",
"timestamp": "07/15/2022 14:54:42",
"content": "wdym",
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"id": 997577019711832000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 14:54:55",
"content": "nvm",
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"id": 997577094680813600,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:55:13",
"content": "wait so did i do it right 😭",
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"id": 997577397689913300,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:56:25",
"content": "i just expanded it",
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"id": 997577414148362400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 14:56:29",
"content": "ok nvm",
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"id": 997577448298397800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 14:56:37",
"content": "wait i've just understood what you're doing",
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"id": 997577586001580200,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:57:10",
"content": "made them all have the same denominator by using their lcm",
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"id": 997577620331974700,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:57:18",
"content": "and like ya",
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"id": 997577844345557000,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 14:58:12",
"content": "so did i do it right?",
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"id": 997578216195756000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 14:59:40",
"content": "i think so",
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"id": 997578342607900700,
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"timestamp": "07/15/2022 15:00:10",
"content": "okay",
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"id": 997578364909015000,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:00:16",
"content": "while ur here can i ask another question",
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"timestamp": "07/15/2022 15:00:17",
"content": "",
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"timestamp": "07/15/2022 15:01:23",
"content": "is it 10,35",
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"id": 997579071452102700,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:03:04",
"content": "ok so",
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"id": 997579079844892800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:03:06",
"content": "for a",
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},
{
"id": 997579109507010700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:03:13",
"content": "10.35 is your answer?",
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"id": 997579183263842400,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:03:31",
"content": "idk the vertex 😭",
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"id": 997579209759269000,
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"timestamp": "07/15/2022 15:03:37",
"content": "ik its x,35",
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"id": 997579238645448700,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:03:44",
"content": "i was thinking of another question mb",
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"id": 997579257570152600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:03:49",
"content": "brain lagging 3pm",
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"id": 997579279925776500,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:03:54",
"content": "LOL",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:02",
"content": "ok so when the ball hits the ground",
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"id": 997579323135496200,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:04",
"content": "the height is 0",
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},
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"id": 997579377711784100,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:17",
"content": "0 = -5t^2 + 10t + 35",
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"id": 997579398519734400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:22",
"content": "use quadratics",
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"id": 997579425937903700,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:04:29",
"content": "and then just solve for t?",
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"id": 997579442052419700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:33",
"content": "yes",
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"id": 997579450046763100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:04:35",
"content": "2 answers",
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"id": 997579563485896700,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:05:02",
"content": "take the smaller one ig",
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"id": 997579624211042600,
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"timestamp": "07/15/2022 15:05:16",
"content": "",
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"id": 997579713646170100,
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"timestamp": "07/15/2022 15:05:37",
"content": "yes",
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"id": 997579828704333800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:06:05",
"content": "just take 1-2sqrt2",
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"id": 997579858056065200,
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"timestamp": "07/15/2022 15:06:12",
"content": "you cant have negative time",
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"id": 997579886149521400,
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"timestamp": "07/15/2022 15:06:18",
"content": "so its 1+2sqrt2",
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"id": 997579926175748200,
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"timestamp": "07/15/2022 15:06:28",
"content": "which is around 3.83 seconds",
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"id": 997579941560451100,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:06:32",
"content": "what about b?",
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"id": 997579978256433300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:06:40",
"content": "oh wait yeah",
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"id": 997579993112653800,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:06:44",
"content": "brain lag",
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"id": 997580269504708700,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:07:50",
"content": "30 = -5t^2 + 10t + 35",
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"id": 997580361720672400,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:08:12",
"content": "0 = -5t^2 + 10t + 5",
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},
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"id": 997580736297173100,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:09:41",
"content": "b is worded so weirdly",
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"id": 997582073273528400,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:15:00",
"content": "how do i do this omg",
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"id": 997582346037502100,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:16:05",
"content": "@MarveI im still confused on b lol",
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"id": 997582641123557500,
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"timestamp": "07/15/2022 15:17:15",
"content": "Bruh",
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"id": 997582653819715700,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:17:18",
"content": "Laptop died",
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"id": 997582676120846500,
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"author_name": "MarveI",
"timestamp": "07/15/2022 15:17:24",
"content": "Ok so",
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"id": 997582682127093800,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:17:25",
"content": "haha no worries",
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"id": 997582744311832600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:17:40",
"content": "Do this quadratics",
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"id": 997582775899136100,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:17:47",
"content": "we did that already",
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"id": 997582790608560300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:17:51",
"content": "yeah",
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"id": 997582816520966100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:17:57",
"content": "What's the answers",
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"timestamp": "07/15/2022 15:18:00",
"content": "",
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"id": 997582904265814100,
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"timestamp": "07/15/2022 15:18:18",
"content": "That is the first one",
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"id": 997582915833704400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:18:21",
"content": "This is for b",
"attachments": [],
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"id": 997582933932126300,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:18:25",
"content": "its the same",
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"id": 997582988827168900,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:18:38",
"content": "ohghh",
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"id": 997582993113751700,
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"author_name": "galactica",
"timestamp": "07/15/2022 15:18:39",
"content": "wait",
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"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:18:43",
"content": "why is it +5",
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"id": 997583039360143400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:18:50",
"content": "Cuz",
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},
{
"id": 997583056015736800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:18:54",
"content": "30 = -5t^2 + 10t + 35",
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"id": 997583116694720600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:19:09",
"content": "h = 30",
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{
"id": 997583187217748200,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:19:26",
"content": "oh oops",
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"id": 997583571638309000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:20:57",
"content": "It should still give a negative",
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"id": 997583597139673100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:21:03",
"content": "And a positive",
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{
"id": 997584149319782500,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:23:15",
"content": "got it",
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{
"id": 997584162540228700,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:23:18",
"content": "2.41 seconds",
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"id": 997584250209583200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:23:39",
"content": "Wait",
"attachments": [],
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},
{
"id": 997584255116914800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:23:40",
"content": "How",
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},
{
"id": 997584312184623100,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:23:54",
"content": "",
"attachments": [
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"id": 997584412835328100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:24:18",
"content": "Ok yes",
"attachments": [],
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},
{
"id": 997584474932003000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:24:33",
"content": "That's the answer",
"attachments": [],
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},
{
"id": 997584505357475800,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:24:40",
"content": "okay perf!",
"attachments": [],
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},
{
"id": 997584541969551500,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:24:49",
"content": "can i bother u for like 2 more questions lol",
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},
{
"id": 997584605949468800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:25:04",
"content": "No",
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},
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"id": 997584626015027200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:25:09",
"content": "Me neeed sleep",
"attachments": [],
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},
{
"id": 997584637733916700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/15/2022 15:25:11",
"content": "Bye",
"attachments": [],
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},
{
"id": 997584646277705900,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:25:13",
"content": "okok",
"attachments": [],
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},
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"id": 997584651310862300,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:25:15",
"content": "thank uu",
"attachments": [],
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},
{
"id": 997584656939618300,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:25:16",
"content": "❤️",
"attachments": [],
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},
{
"id": 997584661956018200,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/15/2022 15:25:17",
"content": ".close",
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},
{
"id": 997584663709229200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 15:25:18",
"content": "Channel closed",
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}
] |
help-9
|
92c3c319003249cb90ac043ec4428792
|
197,171 |
[
{
"id": 958867907683700900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 19:18:44",
"content": "Available help channel!",
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},
{
"id": 958870217524641800,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:27:54",
"content": "Hey how's that if p is a projection and p is bijective then ker(p) isn't a plane",
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},
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"id": 958870219340808200,
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"timestamp": "03/30/2022 19:27:55",
"content": "Pinned a message.",
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"author_name": "riemann",
"timestamp": "03/30/2022 19:29:22",
"content": "the inference is wrong",
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"id": 958870608849043500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 19:29:28",
"content": "or you didn't provide enough information",
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},
{
"id": 958870871236313100,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:30:30",
"content": "My thoughts are if p is a bijection then it is an injection so ker(p)={0} so dim(ker(p))=dim({0})=0",
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"id": 958870949355204600,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:30:49",
"content": "While a plane should have 2 as a dimension",
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},
{
"id": 958871010810163300,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:31:03",
"content": "Am I right?",
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},
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"id": 958871259352035300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 19:32:03",
"content": ".",
"attachments": [],
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},
{
"id": 958871273734303700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 19:32:06",
"content": "show the original problem",
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},
{
"id": 958871518752952400,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:33:05",
"content": "It's in french",
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},
{
"id": 958871614466965500,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:33:27",
"content": "I'm gonna try translating it",
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},
{
"id": 958872286826471400,
"author_id": 929859221703520300,
"author_name": "PUSHTABORAGO",
"timestamp": "03/30/2022 19:36:08",
"content": "'Liz's age is a square number. Howard's age is a cube number. Howard is 2 years older than Liz. How old are Liz and Howard?'",
"attachments": [],
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},
{
"id": 958872335593648100,
"author_id": 929859221703520300,
"author_name": "PUSHTABORAGO",
"timestamp": "03/30/2022 19:36:19",
"content": "possible ways on solving this with calculus?",
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},
{
"id": 958872791174762600,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:38:08",
"content": "E vector space with dimension of 3\nf endomorphism and f²=f³\nD=ker(f-Id) D is a line\nDemonstrate the existence of a base e in E as mat(f) is the one in the pic",
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"id": 958872859923607600,
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"author_name": "pearl",
"timestamp": "03/30/2022 19:38:24",
"content": "",
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"author_name": "pearl",
"timestamp": "03/30/2022 19:38:45",
"content": "a could be 0 or 1",
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"id": 958873057081057300,
"author_id": 919238153657794700,
"author_name": "pearl",
"timestamp": "03/30/2022 19:39:11",
"content": "As an indication we can see that f² is a projection",
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},
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"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 19:54:12",
"content": "@pearl Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 20:09:12",
"content": "Channel closed",
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}
] |
help-9
|
0424cdb8e14d4a688762cdebb5e8a240
|
197,172 |
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"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 15:26:18",
"content": "Available help channel!",
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},
{
"id": 997585711446380500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 15:29:27",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/15/2022 15:33:29",
"content": "what can you input into T and what do you get as an output?",
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"id": 997587651890786300,
"author_id": 896625754383724500,
"author_name": "lirmirit",
"timestamp": "07/15/2022 15:37:10",
"content": "In order for the matrix multiplication, Ax, to be valid, what does the dimension of x have to be",
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"id": 997587697696780300,
"author_id": 896625754383724500,
"author_name": "lirmirit",
"timestamp": "07/15/2022 15:37:21",
"content": "Given that A is m by n",
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"id": 997588079953051600,
"author_id": 896625754383724500,
"author_name": "lirmirit",
"timestamp": "07/15/2022 15:38:52",
"content": "I mean x could by n by p where p is some number",
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"id": 997588128749600800,
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"author_name": "lirmirit",
"timestamp": "07/15/2022 15:39:04",
"content": "But anyways",
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"id": 997588144486633500,
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"author_name": "lirmirit",
"timestamp": "07/15/2022 15:39:07",
"content": "Since x is a vector",
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"author_id": 896625754383724500,
"author_name": "lirmirit",
"timestamp": "07/15/2022 15:39:14",
"content": "What is the dimension of x then",
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"id": 997588870512267400,
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"author_name": "Eric Tao",
"timestamp": "07/15/2022 15:42:01",
"content": "you can assume x is a column vector",
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"id": 997588898886721500,
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"author_name": "Eric Tao",
"timestamp": "07/15/2022 15:42:07",
"content": "since it has the arrow above it",
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"id": 997588972203159600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/15/2022 15:42:25",
"content": "yes you input a nx1 matrix and get out a mx1 matrix",
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"timestamp": "07/15/2022 16:00:35",
"content": "@sushi Has your question been resolved?",
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"timestamp": "07/15/2022 16:09:01",
"content": "is this what you're talking about",
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"timestamp": "07/15/2022 16:40:40",
"content": "@sushi Has your question been resolved?",
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"author_name": "Eric Tao",
"timestamp": "07/15/2022 16:44:40",
"content": "columns",
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"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/15/2022 16:44:53",
"content": "if there are \"free variables\" then it is not injective",
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"timestamp": "07/15/2022 16:58:46",
"content": "it turns out (this is a theorem that requires proof) that rank = # of linearly independent columns = # of linearly independent rows, so because of this it's related to both the number of rows and the number of columns. however, it's typically *defined* as the # of linearly independent columns",
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"author_name": "Eric Tao",
"timestamp": "07/15/2022 17:02:14",
"content": "oh I thought they meant for this question specifically oops",
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"author_name": "1080p",
"timestamp": "07/15/2022 17:32:54",
"content": "injective means that every element is mapped to a unique vector (which means that null space = {0}\nwhat this means is that linear independence is preserved, in that the list of the map of lin ind vectors is also lin ind\nthe matrix elements shows the mapping of one basis to another, you can think of the rows as the basis which the vector is mapped to\nthe columns being the basis for the domain in terms of the basis that it is mapped to\nso no two rows are linearly dependant\n\nthe column should be lin ind and the rows should be lin ind",
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"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "07/15/2022 17:34:46",
"content": "",
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"id": 997618577567912100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/15/2022 17:40:03",
"content": "Linear functions keep 0 fixed",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/15/2022 17:41:00",
"content": "If f is linear, then f(0) = 0. That's all I said",
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"author_name": "themateo713",
"timestamp": "07/15/2022 17:43:26",
"content": "Think about where 0 ends up with c)'s transformation. The answer is not 0, so the transformation can't be linear",
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"author_name": "1080p",
"timestamp": "07/15/2022 17:43:33",
"content": "one of the conditions of linear maps is homogeniety of first degree:\ncT(v) = T(cv) where c is a scalar\n\nyou can see that's not true when you try it",
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"content": "T(0) would be one check for this",
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"content": "if it's a linear map, the map from the 0 vector is to the 0 vector",
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"content": "you are reflecting over this line",
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"content": "f(0) != 0 therefore f isn't linear. It's as simple as that to write out",
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"timestamp": "07/15/2022 17:45:57",
"content": "that's a representation for R^1, but you can see that in this case (0,0) is reflected to (-1, 1)",
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"content": "huh? representation for R1?",
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"timestamp": "07/15/2022 17:47:09",
"content": "the graph, {(v, Tv) : v, Tv element of R}",
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"content": "(-2, 2) actually",
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"content": "im confused D:",
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"content": "It's reflection, so since 0 isn't on the line, it doesn't get mapped on the line but across it, a same distance on the other side",
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"timestamp": "07/15/2022 17:49:20",
"content": "that's -1, 1",
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"timestamp": "07/15/2022 17:49:47",
"content": "My bad, didn't look at the axis properly, just the grid",
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"timestamp": "07/15/2022 17:52:40",
"content": "Use the definition of an induced matrix",
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"timestamp": "07/15/2022 17:52:54",
"content": "It describes where the basis vectors go",
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"timestamp": "07/15/2022 17:54:14",
"content": "i would draw it honestly",
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"content": "v1, ... , vn is the basis of the domain, and w1, ..., wm is the basis of the range",
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"timestamp": "07/15/2022 17:55:54",
"content": "(1, 0), (0, 1) is the standard basis for R^2\nsee where it maps to",
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"content": "I'll also put this here because it's another solution to a): https://math.stackexchange.com/questions/525082/reflection-across-a-line",
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"timestamp": "07/15/2022 18:01:03",
"content": "reflect them to get your matrix columns",
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"content": "Rotation matrices are well known",
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"timestamp": "07/15/2022 18:04:39",
"content": "https://en.m.wikipedia.org/wiki/Rotation_matrix",
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"timestamp": "07/15/2022 18:04:41",
"content": "if you want to find the matrix for something the general step is to figure out where (1, 0) goes and where (0, 1) goes",
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"content": "and then those are the columns of your matrix",
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"timestamp": "07/15/2022 18:04:48",
"content": "as 1080p said",
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"timestamp": "07/15/2022 18:05:05",
"content": "It's not hard to look up something you know the name of",
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"timestamp": "07/15/2022 18:19:25",
"content": "yep",
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"timestamp": "07/15/2022 18:19:34",
"content": "how could you figure it out for yourself?",
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"timestamp": "07/15/2022 18:19:41",
"content": "how do you multiply a number by a matrix?",
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"timestamp": "07/15/2022 18:20:35",
"content": "yep!",
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"timestamp": "07/15/2022 18:21:48",
"content": "what is Q?",
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"timestamp": "07/15/2022 18:21:51",
"content": "oh",
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"timestamp": "07/15/2022 18:21:59",
"content": "do you know what composition is",
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"author_name": "Eric Tao",
"timestamp": "07/15/2022 18:22:01",
"content": "yeah",
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"timestamp": "07/15/2022 18:22:07",
"content": "yeah",
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"timestamp": "07/15/2022 18:22:47",
"content": "yup",
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"timestamp": "07/15/2022 18:23:57",
"content": "wait ask the question again? I don't get it",
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"timestamp": "07/15/2022 18:28:14",
"content": "oh I see the confusion",
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"content": "you multiply matrices right to left too",
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"timestamp": "07/15/2022 18:28:38",
"content": "like for example ABx means you apply B to x and then A to that",
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"timestamp": "07/15/2022 18:28:44",
"content": "@sushi",
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"content": "yeah",
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"timestamp": "07/15/2022 18:29:23",
"content": "you do B then A",
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"timestamp": "07/15/2022 18:45:34",
"content": "what matrices did you multiply",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/15/2022 18:45:48",
"content": "The x axis does not have a slope of 1",
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"content": "oh you mean the reflection matrix",
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"timestamp": "07/15/2022 18:46:53",
"content": "yes but you don't need the formula for that, just note that the x axis stays the same so 1 and then the y axis flips so -1",
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"timestamp": "07/15/2022 18:47:15",
"content": "then the other way around",
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"content": "-1 and 1",
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"timestamp": "07/15/2022 18:47:23",
"content": "thinking is the point",
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"content": "if you don't want to think why are you taking a linear algebra class lol",
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"content": "there wouldn't be one",
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"content": "I mean surely if the linear algebra class is required for the degree, then the point of the degree is to think",
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help-9
|
955d338929254da2ad5d9e8945c19a3a
|
197,173 |
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"timestamp": "07/15/2022 19:56:01",
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"content": "to find the equilibrium points",
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"content": "@john82625 Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
2c4e8325a4694bd09a76f7da25069000
|
197,174 |
[
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"timestamp": "07/15/2022 20:55:59",
"content": "Available help channel!",
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},
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"id": 997671626755817600,
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"content": "Pinned a message.",
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"timestamp": "07/15/2022 21:25:56",
"content": "@sushi Has your question been resolved?",
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"timestamp": "07/15/2022 21:36:47",
"content": "@Helpers anyone here understand matrices?",
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"content": "Channel closed",
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}
] |
help-9
|
3b47b80ffc6b4b008aba53b086c47e45
|
197,175 |
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"timestamp": "07/15/2022 21:52:53",
"content": "Available help channel!",
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},
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"id": 997687161967091700,
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"content": "Pinned a message.",
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"timestamp": "07/15/2022 22:21:22",
"content": "@Helpers",
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"timestamp": "07/15/2022 22:36:22",
"content": "@Chub Has your question been resolved?",
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"timestamp": "07/15/2022 23:06:49",
"content": "@Chub Has your question been resolved?",
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"author_name": "Chub",
"timestamp": "07/15/2022 23:42:21",
"content": "Hellooo ? @Helpers",
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},
{
"id": 997711359695401000,
"author_id": 519746020645666800,
"author_name": "NinScorpions",
"timestamp": "07/15/2022 23:48:44",
"content": "bro just post the question",
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},
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"id": 997719694524043300,
"author_id": 738971309660307600,
"author_name": "Chub",
"timestamp": "07/16/2022 00:21:51",
"content": "I did",
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},
{
"id": 997719761666445300,
"author_id": 738971309660307600,
"author_name": "Chub",
"timestamp": "07/16/2022 00:22:07",
"content": "Idk how to do it",
"attachments": [],
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},
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"id": 997731190566039600,
"author_id": 519746020645666800,
"author_name": "NinScorpions",
"timestamp": "07/16/2022 01:07:32",
"content": "oh i didnt see it",
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},
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"id": 997731215295660000,
"author_id": 519746020645666800,
"author_name": "NinScorpions",
"timestamp": "07/16/2022 01:07:38",
"content": "ok what have u gone thru and all that",
"attachments": [],
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"reference": null
},
{
"id": 997731243158421500,
"author_id": 519746020645666800,
"author_name": "NinScorpions",
"timestamp": "07/16/2022 01:07:45",
"content": "and someone just come an elp u",
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},
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"timestamp": "07/16/2022 01:27:45",
"content": "@Chub Has your question been resolved?",
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"timestamp": "07/16/2022 02:27:45",
"content": "Channel closed",
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}
] |
help-9
|
dd86d75c1bac41069a5a64b1e8d5e25b
|
197,176 |
[
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"timestamp": "07/16/2022 02:28:45",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:13:28",
"content": "can anyone help me with this😭",
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},
{
"id": 997762948040765400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/16/2022 03:13:44",
"content": "What's the definition of an alternating series",
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},
{
"id": 997763190156959700,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:14:42",
"content": "those with such forms?",
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},
{
"id": 997763219110240400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:14:48",
"content": "define \"such forms\"?",
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},
{
"id": 997763476246245400,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:15:50",
"content": "like this?",
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"id": 997763570945249400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:16:12",
"content": "ok sure",
"attachments": [],
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},
{
"id": 997763666055278600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:16:35",
"content": "but you should know that an alternating series is one where its terms ALTERNATE between positive and negative",
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},
{
"id": 997763713471893500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:16:46",
"content": "do you know that or was this news to you",
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},
{
"id": 997763880367440000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:17:26",
"content": "yeah, i know that",
"attachments": [],
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},
{
"id": 997763939515498500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:17:40",
"content": "right",
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},
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"id": 997764012517380200,
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"author_name": "Ann",
"timestamp": "07/16/2022 03:17:58",
"content": "",
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{
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"id": 997764027394576400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:18:01",
"content": "here are the signs of sin(n)/n",
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},
{
"id": 997764145405513900,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:18:29",
"content": "so it's not alternating?",
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},
{
"id": 997764421491380200,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:19:35",
"content": "because it's positive ++,---,+++?",
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},
{
"id": 997764630619369500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:20:25",
"content": "correct",
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},
{
"id": 997764671803244700,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:20:35",
"content": "got it, thank you",
"attachments": [],
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},
{
"id": 997765750989262800,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:24:52",
"content": "i have another question",
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"id": 997765797567021000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:25:03",
"content": "how can i determine its convergence?",
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},
{
"id": 997765969126633500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:25:44",
"content": "first thing you shold do is see if the general term approaches 0",
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"id": 997766001745731700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:25:52",
"content": "if it doesnt then theres no other discussions to be had",
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},
{
"id": 997766200371200000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:26:39",
"content": "so it's not",
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},
{
"id": 997766229026689000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:26:46",
"content": "then it diverges, right?",
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},
{
"id": 997766735115587600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/16/2022 03:28:47",
"content": "yes",
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},
{
"id": 997767009314033700,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/16/2022 03:29:52",
"content": "thanks",
"attachments": [],
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},
{
"id": 997770785110364200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 03:44:52",
"content": "@inneleh Has your question been resolved?",
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"timestamp": "07/16/2022 03:59:53",
"content": "Channel closed",
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}
] |
help-9
|
1db270aa276f45ae88a95dcf58646fd3
|
197,177 |
[
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"timestamp": "07/16/2022 04:00:53",
"content": "Available help channel!",
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},
{
"id": 997781194496286700,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:26:14",
"content": "Help",
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"content": "Pinned a message.",
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"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:26:28",
"content": "3rd one",
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},
{
"id": 997784354921136100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/16/2022 04:38:48",
"content": "ok so",
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},
{
"id": 997784364131823700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/16/2022 04:38:50",
"content": "are you still here?",
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},
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"author_id": 805217272087838700,
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"timestamp": "07/16/2022 04:43:50",
"content": "@Drûnk_Piratë Has your question been resolved?",
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"timestamp": "07/16/2022 04:44:10",
"content": "Channel closed",
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}
] |
help-9
|
766b93bbcaa640e9af9f22a56a014b4f
|
197,178 |
[
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"id": 997785793869390000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/16/2022 04:44:31",
"content": "ok nvm",
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},
{
"id": 997785803910545400,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:44:33",
"content": "Nvm I got it by myself",
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},
{
"id": 997785847036379100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/16/2022 04:44:43",
"content": "what's your answer",
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},
{
"id": 997785847720058900,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:44:44",
"content": "Lol",
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},
{
"id": 997785889088491600,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:44:53",
"content": "Option 1",
"attachments": [],
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},
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"id": 997785908185153500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/16/2022 04:44:58",
"content": "ye that's correct",
"attachments": [],
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},
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"id": 997785926065455200,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "07/16/2022 04:45:02",
"content": "Yeup",
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},
{
"id": 997785960089653400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 04:45:10",
"content": "Available help channel!",
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},
{
"id": 997789392083091600,
"author_id": 903565156490031100,
"author_name": "xInfinityy",
"timestamp": "07/16/2022 04:58:49",
"content": "just wanted confirmation, the answer's b right?",
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},
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"id": 997789395031687200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 04:58:49",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 997789392083091600,
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"timestamp": "07/16/2022 04:59:54",
"content": "yes",
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"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:00:11",
"content": "but uh",
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"timestamp": "07/16/2022 05:00:20",
"content": "apparently the answer's d",
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"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:00:34",
"content": "ok lemem read it",
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"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:00:39",
"content": "my estimated average was like 547.5",
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"timestamp": "07/16/2022 05:00:49",
"content": "but b seems like the correct choice",
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"id": 997789991176519800,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 05:01:11",
"content": "but yoiu cant even see the exact values",
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},
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"id": 997789999158284400,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:01:13",
"content": "how od you get 555",
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"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:01:40",
"content": "exactly",
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"timestamp": "07/16/2022 05:01:47",
"content": "you sure its d?",
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"id": 997790183351132200,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:01:57",
"content": "because even if d is correct, b is also undeniably correct",
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},
{
"id": 997790295024484400,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:02:24",
"content": "i would put b and tell the teacher the answers wrong",
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},
{
"id": 997790368902938600,
"author_id": 903565156490031100,
"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:02:41",
"content": "and the price did more than double between 2005 and 2015",
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},
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"id": 997790383058714600,
"author_id": 903565156490031100,
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"timestamp": "07/16/2022 05:02:45",
"content": "yeye",
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"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:03:18",
"content": "that's what it says but I'm 99% sure the answer's wrong",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 05:03:34",
"content": "yeah just put b. there is no world in which b is wrong. the answer must be wrong",
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"timestamp": "07/16/2022 05:04:05",
"content": "got it ty",
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"id": 997790725569785900,
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"author_name": "xInfinityy",
"timestamp": "07/16/2022 05:04:07",
"content": ".close",
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},
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"id": 997790727805341700,
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"timestamp": "07/16/2022 05:04:07",
"content": "Channel closed",
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}
] |
help-9
|
03ce3e00ac02482f914f5dce0eb3afc9
|
197,179 |
[
{
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"author_id": 889702367778455600,
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"timestamp": "07/16/2022 05:04:16",
"content": "alg",
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"content": "Available help channel!",
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},
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"id": 997792543389515900,
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"content": "Channel closed",
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}
] |
help-9
|
74b9af7e69ee4d999e91cac26b2688fa
|
197,180 |
[
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"timestamp": "07/16/2022 05:18:52",
"content": "Available help channel!",
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},
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"id": 997794782904598500,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
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"timestamp": "07/16/2022 05:20:21",
"content": "Factorize",
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"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:20:25",
"content": "Ca anyone help",
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},
{
"id": 997794947812048900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:20:53",
"content": "expand both then factorize x and y values out",
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"id": 997794956481658900,
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"timestamp": "07/16/2022 05:20:55",
"content": "thats how i'd do it",
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"id": 997795005190111200,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:21:07",
"content": "Huh",
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},
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"id": 997795017554927600,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:21:10",
"content": "??",
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},
{
"id": 997795036827762700,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:21:14",
"content": "M7ltiply?",
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"id": 997795091978657800,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:21:28",
"content": "yes",
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{
"id": 997795106600005600,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:21:31",
"content": "Then",
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},
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"id": 997795218378211300,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:21:58",
"content": "",
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"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:22:17",
"content": "where u get n from",
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},
{
"id": 997795316776587300,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:22:21",
"content": "nvm its just x",
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},
{
"id": 997795333465718900,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:22:25",
"content": "Yes",
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},
{
"id": 997795410523455500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:22:44",
"content": "hm gimme a sec",
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},
{
"id": 997795423337058300,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:22:47",
"content": "lemme try something",
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},
{
"id": 997795449576640500,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:22:53",
"content": "K",
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},
{
"id": 997795647673606300,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:23:40",
"content": "don't think there's an absolute, \"this factorization is the best for this purpose\"",
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},
{
"id": 997795669991493800,
"author_id": 764340019669762000,
"author_name": "IDZTPHKKKS",
"timestamp": "07/16/2022 05:23:45",
"content": "hey guys anyone here good at olympiad math?",
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"id": 997795708889481200,
"author_id": 808529187131621400,
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"timestamp": "07/16/2022 05:23:55",
"content": "Wdym",
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"id": 997795770189221900,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:24:09",
"content": "see #❓how-to-get-help , and ask in #competition-math",
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},
{
"id": 997795824509661300,
"author_id": 764340019669762000,
"author_name": "IDZTPHKKKS",
"timestamp": "07/16/2022 05:24:22",
"content": "thnkx a lot!",
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},
{
"id": 997796106920534000,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:25:30",
"content": "i can't",
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},
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"id": 997796125958480000,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:25:34",
"content": "can you show the question again?",
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},
{
"id": 997796147718524900,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:25:39",
"content": "\"factorize\" usually means to simplify until the expression is nice for multiplying",
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},
{
"id": 997796167171719200,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:25:44",
"content": "it's in pinned",
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},
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"id": 997796174687895600,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:25:46",
"content": "actually nvm",
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},
{
"id": 997796203938992100,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:25:53",
"content": "add 2axy to first, and -2axy to second",
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},
{
"id": 997796218094760100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 05:25:56",
"content": "i mean question",
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},
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"id": 997796239217266700,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:26:01",
"content": "",
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"id": 997796241444454400,
"author_id": 808529187131621400,
"author_name": "PokemonXY",
"timestamp": "07/16/2022 05:26:02",
"content": "Now what",
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},
{
"id": 997797161070772400,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:29:41",
"content": "wait i'm an idiot",
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},
{
"id": 997797233414127700,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:29:58",
"content": "(ax - y)(ay - x) works",
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},
{
"id": 997797682657640400,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/16/2022 05:31:45",
"content": "this + should be -",
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"timestamp": "07/16/2022 05:41:02",
"content": "@PokemonXY Has your question been resolved?",
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"timestamp": "07/16/2022 06:10:28",
"content": "what are you still confused on?",
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"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 06:23:37",
"content": "@PokemonXY Has your question been resolved?",
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"timestamp": "07/16/2022 06:53:37",
"content": "Channel closed",
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}
] |
help-9
|
03abd8b19e934e999f4c4f741ecca826
|
197,181 |
[
{
"id": 997818538637144000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 06:54:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 997826137180885000,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:24:49",
"content": "how do i apply the chain rule here f(x)=e^(4x+5)",
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},
{
"id": 997826140007846000,
"author_id": 805217272087838700,
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"timestamp": "07/16/2022 07:24:50",
"content": "Pinned a message.",
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"id": 997826500978028500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:26:16",
"content": "What are you confused about",
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},
{
"id": 997826536440856600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:26:25",
"content": "Should be straightforward",
"attachments": [],
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},
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"timestamp": "07/16/2022 07:26:57",
"content": "im learning by myself and i know the rule but still dont know how to apply it",
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"timestamp": "07/16/2022 07:27:25",
"content": "What is the rule?",
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"timestamp": "07/16/2022 07:27:55",
"content": "u´(v(x))*v´(x)",
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"author_name": "Diesel",
"timestamp": "07/16/2022 07:29:01",
"content": "Ok so identify u(x) and v(x) in your question",
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:29:02",
"content": "You want derivative of smth on the form f(g(x))",
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:29:09",
"content": "So figure out what is what",
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"timestamp": "07/16/2022 07:29:28",
"content": "dont know",
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"timestamp": "07/16/2022 07:29:43",
"content": "thats where i am stuck on",
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"timestamp": "07/16/2022 07:30:08",
"content": "mabey u(x) is 4x+5",
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"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:30:21",
"content": "and v(x) is e^x",
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"timestamp": "07/16/2022 07:30:26",
"content": "but im not sure",
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:30:42",
"content": "You want derivative of smth on the form u(v(x)) (using ur notation)",
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"author_name": "Diesel",
"timestamp": "07/16/2022 07:30:44",
"content": "Also did you mean (u(v(x))' = u'(v(x) * v'(x)?",
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"timestamp": "07/16/2022 07:30:56",
"content": "yes",
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:31:06",
"content": "So figure out if v(x) is e^x or 4x+5",
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"timestamp": "07/16/2022 07:31:08",
"content": "Right so which function is inside",
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"author_name": "Diesel",
"timestamp": "07/16/2022 07:31:13",
"content": "And which outside",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 07:31:14",
"content": "And u is the other one",
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"author_id": 838773920349946000,
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"timestamp": "07/16/2022 07:31:50",
"content": ".",
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"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:32:52",
"content": "is v(x)=e^x",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/16/2022 07:33:12",
"content": "Which one is inside which?",
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"id": 997828473185910900,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:34:06",
"content": "(e)^(4x+5) so e^x is inside",
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},
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"id": 997828507637907600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/16/2022 07:34:14",
"content": "No",
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},
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/16/2022 07:34:36",
"content": "You see 4x+5 is inside e",
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},
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"id": 997828645697626100,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:34:47",
"content": "why",
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},
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"id": 997828801981599700,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/16/2022 07:35:25",
"content": "How is e inside here?",
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},
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"id": 997828986031833100,
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"author_name": "ghostkiller8804",
"timestamp": "07/16/2022 07:36:09",
"content": "",
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"author_id": 838773920349946000,
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"timestamp": "07/16/2022 07:36:17",
"content": "there is one example in my book",
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"id": 997829207868575700,
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"timestamp": "07/16/2022 07:37:01",
"content": ",rotate",
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},
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"id": 997829214462025700,
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"author_name": "TeXit",
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"timestamp": "07/16/2022 07:42:14",
"content": ".close",
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{
"id": 997830525827956700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 07:42:16",
"content": "Channel closed",
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] |
help-9
|
9e7e470b358942b3b93b911a339a7735
|
197,182 |
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{
"id": 958880861518975000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 20:10:12",
"content": "Available help channel!",
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{
"id": 958881582511448000,
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"timestamp": "03/30/2022 20:13:04",
"content": "Pinned a message.",
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"author_id": 331558346333224960,
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"timestamp": "03/30/2022 20:13:23",
"content": "I believe Y is just normal sampling",
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"timestamp": "03/30/2022 20:13:35",
"content": "so we have $Y \\sim N(\\mu,1^2)$",
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"timestamp": "03/30/2022 20:13:38",
"content": "**jan Niku (Shuri for Honorable)**",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 20:14:11",
"content": "does some kind of extra trickery have to happen here? i feel like these should be straightforward but i cannot decipher the process",
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"timestamp": "03/30/2022 20:14:52",
"content": "I understand what the question asking, like, whats the chance we draw 16 samples and our sample mean is within 0.3 ounces of the mean",
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"timestamp": "03/30/2022 20:17:08",
"content": "do we need to do the transform thing?",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 20:17:27",
"content": "If $Y_1, ..., Y_k$ is normally distributed, what's the distribution of $\\overline{Y} = \\frac{1}{k}\\sum_{i=1}^k Y_k$?",
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"timestamp": "03/30/2022 20:17:37",
"content": "Should be normal too, right",
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"timestamp": "03/30/2022 20:17:41",
"content": "linear combination of normal",
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"timestamp": "03/30/2022 20:17:43",
"content": "**riemann**",
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"timestamp": "03/30/2022 20:18:01",
"content": "your mean stays the same but",
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"timestamp": "03/30/2022 20:18:13",
"content": "id have to work out what the standard deviation is",
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"timestamp": "03/30/2022 20:18:18",
"content": "im not sure off the top of my head",
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"timestamp": "03/30/2022 20:18:25",
"content": "i believe the expectation is just like",
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"timestamp": "03/30/2022 20:18:33",
"content": "n*mu / n",
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"timestamp": "03/30/2022 20:19:12",
"content": "derive it for yourself",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 20:19:23",
"content": "i am, trying to remember how to do it",
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"timestamp": "03/30/2022 20:19:26",
"content": "shortcut right",
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"id": 958883198534819800,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 20:19:29",
"content": "will take me a second",
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},
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"id": 958884608747897000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 20:25:05",
"content": "its sigma/n",
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"id": 958884654105133000,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 20:25:16",
"content": "so 1/16 here",
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"timestamp": "03/30/2022 20:25:40",
"content": "so $\\bar Y \\sim N \\qty( \\mu , \\frac{1}{16} )$",
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"timestamp": "03/30/2022 20:25:43",
"content": "**jan Niku (Shuri for Honorable)**",
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"timestamp": "03/30/2022 20:28:10",
"content": ":blobsweat: im not sure how to use this",
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"timestamp": "03/30/2022 20:34:01",
"content": ":sadcat:",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 20:34:04",
"content": "@Helpers",
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{
"id": 958886954483744800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 20:34:25",
"content": "oops discord time is way slower than my clocks time",
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"timestamp": "03/30/2022 20:49:25",
"content": "@jan Niku Has your question been resolved?",
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"timestamp": "03/30/2022 20:51:13",
"content": "I can get to that we want to find $P(\\mu - 0.3 \\leq \\bar Y \\leq \\mu + 0.3)$ is this helpful?",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:05:12",
"content": "so we have that $z = \\frac{ \\sqrt n (\\bar Y - \\mu ) }{ \\sigma }$ so $\\bar Y = \\frac{ z \\sigma }{ \\sqrt n } + \\mu$",
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"id": 958894713547669500,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:05:15",
"content": "is this helpful :blobsweat:",
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"author_name": "riemann",
"timestamp": "03/30/2022 21:06:08",
"content": "Just use a z table for this now",
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"timestamp": "03/30/2022 21:06:24",
"content": "how do we got to this",
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"timestamp": "03/30/2022 21:06:31",
"content": "i mean how do we know its z",
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"timestamp": "03/30/2022 21:06:39",
"content": "ive been watching videos and stuff trying to understand i promise",
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"timestamp": "03/30/2022 21:06:42",
"content": "You showed it. Z is the cdf for a normal random variable",
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"content": "i dont understand",
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"timestamp": "03/30/2022 21:06:56",
"content": "we have xbar is distributed normal",
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"timestamp": "03/30/2022 21:07:03",
"content": "i dont understand the jump from that to use a z table",
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"timestamp": "03/30/2022 21:07:10",
"content": "what is the work? what is the justification?",
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"timestamp": "03/30/2022 21:07:14",
"content": "how do we know",
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"timestamp": "03/30/2022 21:07:35",
"content": "z is the cdf for the normal rv :thonk:",
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"timestamp": "03/30/2022 21:07:42",
"content": "So you scale your ybar to be normal(0, 1)",
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"timestamp": "03/30/2022 21:08:00",
"content": "$\\bar Y = \\frac{ z \\sigma }{ \\sqrt n } + \\mu$",
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"timestamp": "03/30/2022 21:08:02",
"content": "by this right",
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"timestamp": "03/30/2022 21:08:02",
"content": "Or PDF I think",
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"timestamp": "03/30/2022 21:08:07",
"content": "but it reintroduces y bar",
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"timestamp": "03/30/2022 21:08:12",
"content": "Latex bot broken",
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"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "03/30/2022 21:08:16",
"content": "z is just z, it's not really indicative of anything",
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"timestamp": "03/30/2022 21:08:26",
"content": "and i dont really understand",
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"timestamp": "03/30/2022 21:08:29",
"content": "standardize where?",
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"timestamp": "03/30/2022 21:08:40",
"content": "we can use that transformation i posted",
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"timestamp": "03/30/2022 21:08:40",
"content": "This is standardizing",
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"timestamp": "03/30/2022 21:08:43",
"content": "right",
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"timestamp": "03/30/2022 21:08:53",
"content": "so replace bar y with that fraction",
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"timestamp": "03/30/2022 21:08:53",
"content": "Basically standardize means",
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"timestamp": "03/30/2022 21:08:55",
"content": "Take out mean",
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"timestamp": "03/30/2022 21:08:59",
"content": "And then set variance to 1",
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"timestamp": "03/30/2022 21:09:01",
"content": "then that fraction is ~N(0,1)",
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"timestamp": "03/30/2022 21:09:04",
"content": "i think?",
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"timestamp": "03/30/2022 21:09:04",
"content": "This gets you N(0,1)",
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"timestamp": "03/30/2022 21:09:07",
"content": "ja",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:09:16",
"content": "but then that means y bar is ~N(0,1)",
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"timestamp": "03/30/2022 21:09:21",
"content": "maybe you have to leave it with y bar",
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"timestamp": "03/30/2022 21:09:46",
"content": "but two things that are equal cant have different distributions right",
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"timestamp": "03/30/2022 21:09:55",
"content": "im sorry these are dumb questions :blobsweat:",
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"author_name": "pepper",
"timestamp": "03/30/2022 21:10:15",
"content": "I'm busy right now, so I can't really help",
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"timestamp": "03/30/2022 21:10:19",
"content": ":bearlain:",
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"author_name": "pepper",
"timestamp": "03/30/2022 21:10:22",
"content": "But I think you should read up on Normal distributions",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:10:30",
"content": "im trying but i dont know where to look",
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"id": 958896055401975800,
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"timestamp": "03/30/2022 21:10:35",
"content": "well",
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"id": 958896058413498400,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "03/30/2022 21:10:35",
"content": "Essentially, linear combination of normal distributions results in normal distributions",
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"timestamp": "03/30/2022 21:10:38",
"content": "i dont know what to look",
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"id": 958896075773730800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 21:10:39",
"content": "i believe that",
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"timestamp": "03/30/2022 21:10:41",
"content": "This can be used directly",
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"timestamp": "03/30/2022 21:10:46",
"content": "this is what everything says=",
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"id": 958896111135916000,
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"author_name": "pepper",
"timestamp": "03/30/2022 21:10:48",
"content": "To relate to a Standard normla",
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{
"id": 958896114919145500,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:10:49",
"content": "then they just say",
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"id": 958896120539516900,
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"author_name": "pepper",
"timestamp": "03/30/2022 21:10:50",
"content": "Yes",
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"id": 958896121055420400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 21:10:50",
"content": "z score",
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"id": 958896127674040400,
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"author_name": "pepper",
"timestamp": "03/30/2022 21:10:52",
"content": "Yes",
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"id": 958896132250013800,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:10:53",
"content": "0 justification",
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"id": 958896168908243000,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "03/30/2022 21:11:02",
"content": "The Z-score relates to N(0,1)",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:11:02",
"content": "its not clear to me how to move from where i am into a zscore",
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"id": 958896191691714700,
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"timestamp": "03/30/2022 21:11:07",
"content": "or a calculation",
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"author_name": "pepper",
"timestamp": "03/30/2022 21:11:11",
"content": "You don't have ABC-Score relating to N(MU, SIGMA)",
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"author_name": "pepper",
"timestamp": "03/30/2022 21:11:21",
"content": "So you take N(MU, SIGMA) and transform it to N(0,1)",
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"author_name": "pepper",
"timestamp": "03/30/2022 21:11:28",
"content": "Then you relate the Z-score back to N(MU, SIGMA)",
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"timestamp": "03/30/2022 21:11:39",
"content": "okay but",
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"timestamp": "03/30/2022 21:11:52",
"content": "we",
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"timestamp": "03/30/2022 21:12:11",
"content": "i mean im not really sure, what you are describing does not seem to fit this problem",
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"timestamp": "03/30/2022 21:12:44",
"content": "oh wait maybe we want that $z = \\frac{ \\sqrt n ( \\bar Y - \\mu ) }{ \\sigma}$",
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"id": 958896696388124700,
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"timestamp": "03/30/2022 21:13:07",
"content": "so that $z \\cdot \\frac{\\sigma}{\\sqrt n} = \\bar Y - \\mu$",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:13:12",
"content": "then we use the absolute value?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 21:43:12",
"content": "@jan Niku Has your question been resolved?",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 21:49:13",
"content": "@home3 whats your problem",
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"id": 958905842718109700,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:49:28",
"content": "https://cdn.discordapp.com/attachments/298216246460022784/958901520764637274/unknown.png",
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"id": 958905864012574700,
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"author_name": "home3",
"timestamp": "03/30/2022 21:49:33",
"content": "https://cdn.discordapp.com/attachments/298216246460022784/958901520991133726/unknown.png",
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"id": 958906657532952600,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:52:42",
"content": "ive reduced it to either a or b",
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"id": 958906675048362000,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:52:46",
"content": "I went for b",
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},
{
"id": 958906742824108000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 21:53:03",
"content": "you have a channel why are you using mine",
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},
{
"id": 958906864916123600,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:53:32",
"content": "because we weren't able to narrow it down beyond that and you might have some beneficial input",
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"id": 958907129908060200,
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"author_name": "home3",
"timestamp": "03/30/2022 21:54:35",
"content": "its fine if you don't do physics because it is physics based",
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},
{
"id": 958907185193160700,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:54:48",
"content": "I won't waste your time",
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"id": 958907253690339300,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:55:04",
"content": ".close",
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},
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"id": 958907275043557400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 21:55:10",
"content": ".close?!",
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},
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"id": 958907286192005100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 21:55:12",
"content": "this is my channel",
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"author_name": "home3",
"timestamp": "03/30/2022 21:55:15",
"content": "oh lmao",
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"id": 958907312402235500,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:55:18",
"content": "haha",
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"id": 958907374796673000,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:55:33",
"content": "i thought you were helping me",
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"id": 958907460066889700,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:55:54",
"content": "what do you need help with",
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"id": 958907506661408800,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:56:05",
"content": "I might be of assistance",
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"id": 958907645413179400,
"author_id": 947913106288422900,
"author_name": "home3",
"timestamp": "03/30/2022 21:56:38",
"content": "I have learnt the normal distribution",
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"author_name": "home3",
"timestamp": "03/30/2022 21:58:02",
"content": "@jan Niku ill dm you a link to a textbook and open the textbook and go to normal distributions it is concise and will definitely help",
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"author_name": "home3",
"timestamp": "03/30/2022 21:59:51",
"content": "okay ill leave you alone now",
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"author_name": "home3",
"timestamp": "03/30/2022 21:59:59",
"content": "good luck jan niku!",
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"author_name": "riemann",
"timestamp": "03/30/2022 22:32:29",
"content": "Did you get anywhere with this",
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"timestamp": "03/30/2022 22:32:40",
"content": "sort of",
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"id": 958916726819528800,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 22:32:43",
"content": "but im not sure its right",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 22:32:49",
"content": "so we know that like",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:32:54",
"content": "we can normalize the distribution of ybar",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 22:33:03",
"content": "then 4(ybar - mu) = z is standard normal",
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"id": 958916878342955000,
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"timestamp": "03/30/2022 22:33:19",
"content": "then ybar-mu = 0.25 * 4 (ybar - mu) = 0.25 z",
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"id": 958916935897186300,
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"author_name": "jan Niku",
"timestamp": "03/30/2022 22:33:33",
"content": "then this problem is equivalent to P(|z| <= 1.2)",
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"author_name": "riemann",
"timestamp": "03/30/2022 22:33:36",
"content": "Use this and look up a z table for 0.3",
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"author_name": "jan Niku",
"timestamp": "03/30/2022 22:33:48",
"content": "im still not sure what you mean by this",
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"id": 958917012661342200,
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"author_name": "riemann",
"timestamp": "03/30/2022 22:33:51",
"content": "Or some identities",
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"id": 958917062242209900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:34:03",
"content": "it should be 1.2 right?",
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"author_name": "riemann",
"timestamp": "03/30/2022 22:34:05",
"content": "P(|Z| < 0.3)",
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"timestamp": "03/30/2022 22:34:08",
"content": "no",
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"id": 958917144765141000,
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"author_name": "riemann",
"timestamp": "03/30/2022 22:34:23",
"content": "Oh yea this is right",
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"timestamp": "03/30/2022 22:34:30",
"content": "i think",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:34:38",
"content": "since ybar - mu isnt standard normal",
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"id": 958917229095821300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 22:34:43",
"content": "P(-1.2<Z<1.2)",
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"id": 958917249673101300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:34:48",
"content": ":happy:",
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{
"id": 958917277061877800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:34:54",
"content": "riemann i appreciate u believed in me",
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"id": 958917287732215800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/30/2022 22:34:57",
"content": "Yea look this up in a table and you're done",
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"id": 958917298868088800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:34:59",
"content": "and u checked back",
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"id": 958917309999763600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:02",
"content": "sorry i am dumb",
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"id": 958917322830123000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:05",
"content": "i am going to close now",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:07",
"content": "thank you",
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},
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"id": 958917335794745500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:08",
"content": ":hype:",
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"id": 958917341964562400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:10",
"content": "🙇♂️",
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},
{
"id": 958917346653782100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/30/2022 22:35:11",
"content": ".close",
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},
{
"id": 958917348226646100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 22:35:11",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
cf37cb14e8354b23a7f133646a47a5eb
|
197,183 |
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"id": 997830775225471000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 07:43:15",
"content": "Available help channel!",
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},
{
"id": 997830856200704000,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/16/2022 07:43:34",
"content": "",
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"timestamp": "07/16/2022 07:43:35",
"content": "Pinned a message.",
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"timestamp": "07/16/2022 07:44:02",
"content": "Guys any idea how to simplify the first one ?",
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"timestamp": "07/16/2022 07:59:02",
"content": "@Night Wølf Has your question been resolved?",
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help-9
|
181ceaaa93164a2ba28ce40165581de5
|
197,184 |
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{
"id": 997862863798554600,
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"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 09:50:46",
"content": "Available help channel!",
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{
"id": 997863958230880400,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 09:55:07",
"content": "Hey I need help finding the domain of F where the function is bijective",
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{
"id": 997863960441274500,
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"id": 997864003583877200,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 09:55:17",
"content": "ill post the problem",
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},
{
"id": 997864135649931300,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 09:55:49",
"content": "im stuck on 2",
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"timestamp": "07/16/2022 09:56:45",
"content": "I just dont know how to proceed/ start",
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"id": 997864532070375400,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 09:57:23",
"content": "this is a test from my last year finals btw",
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"id": 997866570615361700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:05:29",
"content": "You already did 1.",
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{
"id": 997866662659375100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:05:51",
"content": "One of the properties failed, which you showed why I suppose?",
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"id": 997866694464770000,
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:05:59",
"content": "So try removing the problem",
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"id": 997866870826864600,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:06:41",
"content": "yes indeed, I got F is injective but not surjective because if x= +1 then the equation fails : y != x / (x+1)",
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"id": 997867033515544700,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:07:20",
"content": "but what confused me is why they said for R - {-1} thats the starting set",
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"id": 997867099370295300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:07:35",
"content": "Is your function defined at -1?",
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"id": 997867121566548000,
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"timestamp": "07/16/2022 10:07:41",
"content": "no",
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"timestamp": "07/16/2022 10:07:43",
"content": "So what would it mean if it was from R?",
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:08:03",
"content": "it can't be from R tho? cuz we have a problem at -1?",
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"id": 997867254085583000,
"author_id": 265853506664136700,
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"timestamp": "07/16/2022 10:08:12",
"content": "Your function isn’t defined at -1",
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"id": 997867274847391900,
"author_id": 265853506664136700,
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"timestamp": "07/16/2022 10:08:17",
"content": "So yes that is a problem",
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"id": 997867329939583000,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:08:30",
"content": "how is it defined at -1?",
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"id": 997867439461245000,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:08:57",
"content": "if x = -1 we get an error cuz -1 / 0 is impossible (in the scope of this )",
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"timestamp": "07/16/2022 10:09:02",
"content": "Isn’t*",
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"id": 997867495602008000,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:09:10",
"content": "my bad",
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"id": 997867520222564400,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:09:16",
"content": "so what should i say?",
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"id": 997867585716637800,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:09:31",
"content": "my function is bijective for all subsets that don't have -1 or 1 in them?",
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"id": 997867770022740100,
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:10:15",
"content": "Oh it says subsets of R \\\\ {-1}",
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"id": 997867796090323000,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:10:22",
"content": "because it isn't defined on -1 and its not surjective on 1 which means it cant be bijective but what i am not sure of is what im supposed to say/write",
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"id": 997867807863742600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:10:24",
"content": "Well it isn’t for any subset",
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"id": 997867835462267000,
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"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:10:31",
"content": "Because you have codomain being R",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:10:39",
"content": "Surely they meant subsets of R?",
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"id": 997867912092209200,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:10:49",
"content": "idk that's what got me confused",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:10:59",
"content": "You need to fix codomain to make it bijective",
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"id": 997867999220486100,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:11:10",
"content": "should i just say R - {-1} - {+1} or sth",
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{
"id": 997868009307783200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:11:12",
"content": "So Idk why they say R \\\\ {-1}",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:11:20",
"content": "No",
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},
{
"id": 997868154728493000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:11:47",
"content": "It is bijective if codomain is any subset of R \\\\ {1}",
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},
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"id": 997868234273472600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:12:06",
"content": "Because you just said above surjectivity failed at 1",
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},
{
"id": 997868254179631100,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:12:11",
"content": "at +1",
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},
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"id": 997868829696872600,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:14:28",
"content": "y = x /(x+1) => xy + y = x => x(y-1) + y = 0 => x = -y/(y-1) which means y can't be +1 thus the codomain need to be R - {1} for f to be bijective, which lead back to the main problem that the question said subsets of the domain and not codomain, idk i guess ill just write R-{-1,+1} or something",
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},
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"id": 997869028175515800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:15:15",
"content": "I mean the whole problem could use proof reading",
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},
{
"id": 997869146601693300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:15:44",
"content": "Not using capital letters after end of sentence, weird spacing (looks like its written in word or smth)",
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},
{
"id": 997869226293469300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:16:03",
"content": "And random ? in 2. which isn’t a question",
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},
{
"id": 997869438806278100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/16/2022 10:16:53",
"content": "Its all subsets of R \\\\ {-1,1} (assuming they for some reason actually mean R \\\\ {-1} and not just another mistake)",
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"id": 997869883897426000,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:18:39",
"content": "i think so to.",
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},
{
"id": 997869906513117300,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 10:18:45",
"content": "guess ill move to part 3 now",
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},
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"id": 997873682343022600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 10:33:45",
"content": "@Chillfire Has your question been resolved?",
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"author_name": "Chillfire",
"timestamp": "07/16/2022 10:42:22",
"content": "yes, thank you @ScapeProf",
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"id": 997875858368892900,
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"timestamp": "07/16/2022 10:42:24",
"content": ".close",
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},
{
"id": 997875860092760200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 10:42:24",
"content": "Channel closed",
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}
] |
help-9
|
e0e9cdc06b2c457bae89454aa3cf042e
|
197,185 |
[
{
"id": 997876113185460200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 10:43:25",
"content": "Available help channel!",
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},
{
"id": 997881977631952900,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:06:43",
"content": "I need lpe: if P(x) is a real polynomial and z (complex) is a double root of P(x), how do I prove that z bar (conjugate) is also a double root of P(x)???",
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{
"id": 997881979347423400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 11:06:43",
"content": "Pinned a message.",
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},
{
"id": 997882126261309400,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:07:18",
"content": "I know that if z is a root then so is z bar by definition but how do I transition that to double root? (root of multiplicity 2)",
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},
{
"id": 997882242837778400,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:07:46",
"content": "By squaring it?",
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},
{
"id": 997882287662301200,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:07:57",
"content": "It’s like:",
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},
{
"id": 997882316422652000,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:08:03",
"content": "If a and b are roots:",
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},
{
"id": 997882360945193200,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:08:14",
"content": "(X-a)(X-b)",
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},
{
"id": 997882381677646000,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:08:19",
"content": "Is how you write it.",
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},
{
"id": 997882406935724200,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:08:25",
"content": "If a = b",
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},
{
"id": 997882481548202000,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/16/2022 11:08:43",
"content": "(x-a)(x-a) = (x-a)^2",
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},
{
"id": 997882608308469900,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:09:13",
"content": "so what should i write?",
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},
{
"id": 997882663413231600,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:09:26",
"content": "can do this ? (x-z)^2 = (x-z)(x-z)",
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},
{
"id": 997882806338334800,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:10:00",
"content": "should i continue by saying this means z is a root => z bar is too but then what? I can't just write(x-z bar) (x -z bar)",
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},
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"id": 997882942883893200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/16/2022 11:10:33",
"content": "use polynomial division to factor p into (x-z)(x-zbar)q",
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"id": 997882995568558100,
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:10:45",
"content": "then because z is a double root of p it is a root of q",
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"timestamp": "07/16/2022 11:10:54",
"content": "and then use the same argument as before",
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"id": 997883105211859100,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:11:12",
"content": "let me digest this",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:11:27",
"content": "and because (x-z)(x-zbar) is a real polynomial, q is also a real polynomial",
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"timestamp": "07/16/2022 11:12:13",
"content": "can you clarify this more?",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:13:01",
"content": "if z is a double root of p then p =(x-z)^2*r = (x-z)[(x-z)r]",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/16/2022 11:13:08",
"content": "so z is a root of (x-z)r",
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"id": 997883668095844400,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:13:26",
"content": "ohh",
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{
"id": 997883769010798600,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:13:50",
"content": "I see",
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"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:14:07",
"content": "so you just like played on words but in maths",
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"author_name": "Chillfire",
"timestamp": "07/16/2022 11:16:49",
"content": "so um, jus clarifying something",
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"timestamp": "07/16/2022 11:17:39",
"content": "I know that if z is a root of p(x) it means (x-z)(x-z bar) is a real polynomial and (x-z)(x-zbar)g(x) = P(x) with g(x) a real polynomial too.",
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{
"id": 997885029344612500,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:18:50",
"content": "can I arrive at this conclusion then no matter the multiplicity of z?",
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"id": 997885327790317600,
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:20:01",
"content": "what exactly do you mean with \"this\" conclusion",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:20:13",
"content": "you can do a similiar argument no matter which multiplicity z has",
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"timestamp": "07/16/2022 11:20:18",
"content": "to show that zbar has the same",
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"timestamp": "07/16/2022 11:22:38",
"content": "I meant that, and I feel stupid for asking but I never was explicitly told this, if z is a root of multiplicity n, then can I say that z is also a simple root of whatever polynomial",
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"id": 997886059927064600,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 11:22:56",
"content": "since I can write (x-z)(x-z)...",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:23:24",
"content": "well depends on your definition of \"simple\" root",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:23:31",
"content": "if simple root means multiplicity =1 then no",
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"timestamp": "07/16/2022 11:23:39",
"content": "if simple root means multiplicity >=1 then yes",
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"timestamp": "07/16/2022 11:23:42",
"content": "but it probably means =1",
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"timestamp": "07/16/2022 11:24:09",
"content": "but either way you can say that it is a root of the polynomial",
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"timestamp": "07/16/2022 11:26:12",
"content": "so I can use the rule then that says, if z is a root of P(x) we can write P(x) as (x-z)(x-zbar)g(x) / g(x) is a real poly",
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"timestamp": "07/16/2022 11:26:47",
"content": "because I learned this rule for roots of multiplicity =1",
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"timestamp": "07/16/2022 11:26:58",
"content": "maths is not my strong suit, sorry",
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"timestamp": "07/16/2022 11:28:14",
"content": "is z is a root that is not real then zbar is also a root and (x-z)(x-zbar) is a real polynomial. then you can use polynomial division to find a real polynomial g(x) with p(x)=(x-z)(x-zbar)g(x)",
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"timestamp": "07/16/2022 11:28:24",
"content": "at no point here we used the multiplicity of z",
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"timestamp": "07/16/2022 11:28:34",
"content": "we just used that z is a root",
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"timestamp": "07/16/2022 11:31:25",
"content": "yes but when you say z is a root, it means z is a root of multiplicity 1. so what is confusing me is that if its 2 instead of 1, does (x-z)(x-zbar) becomes (x-z)^2(x-zbar)^2 or it's just not affected by the multiplicity at all",
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"author_name": "Denascite",
"timestamp": "07/16/2022 11:31:49",
"content": "no z being a root does not say anything about the multiplicity",
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"timestamp": "07/16/2022 11:31:54",
"content": "just that the multiplicity is >=1",
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"id": 997888371974230000,
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"author_name": "Chillfire",
"timestamp": "07/16/2022 11:32:07",
"content": "wait...",
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"id": 997888484784218100,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:32:34",
"content": "so if I have a polynomial and I say z is a root of it, which means z bar is a root too",
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},
{
"id": 997888534407024800,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:32:46",
"content": "this is a general statement for multiplicity >= 1?",
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},
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"id": 997888556624269300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/16/2022 11:32:51",
"content": "yes",
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},
{
"id": 997888576874348500,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:32:56",
"content": "omg....",
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},
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"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:33:11",
"content": "I think I got confused because of this",
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"author_name": "Chillfire",
"timestamp": "07/16/2022 11:33:22",
"content": "the doctor* explained all those rules first then got into multiplicity",
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},
{
"id": 997888713872912400,
"author_id": 374251272120959000,
"author_name": "Chillfire",
"timestamp": "07/16/2022 11:33:29",
"content": "leaving me thinking they were for 1 only",
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"author_name": "Chillfire",
"timestamp": "07/16/2022 11:34:36",
"content": "thank you so much my friend, simple misunderstandings can really lead to bigger ones, i can't thank you enough !",
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"timestamp": "07/16/2022 11:34:39",
"content": ".close",
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"id": 997889009730723800,
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"timestamp": "07/16/2022 11:34:39",
"content": "Channel closed",
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}
] |
help-9
|
dd2431b449b24c26b6f6526ead75626a
|
197,186 |
[
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"content": "Available help channel!",
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"reference": null
},
{
"id": 997904326418759700,
"author_id": 852821523580190700,
"author_name": "beluga17",
"timestamp": "07/16/2022 12:35:31",
"content": "what will be the cartesian product of X = {0,1,2} and Y = {0,1}?",
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},
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"id": 997904329828733000,
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"content": "Pinned a message.",
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"author_name": "dldh06",
"timestamp": "07/16/2022 12:37:06",
"content": "Don't open multiple channels",
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"timestamp": "07/16/2022 12:50:31",
"content": "@beluga17 Has your question been resolved?",
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"timestamp": "07/16/2022 13:03:57",
"content": "@beluga17 as said, pls use 1 channel",
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"author_id": 150414892225134600,
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"timestamp": "07/16/2022 13:03:59",
"content": ".close",
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},
{
"id": 997911493968400500,
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"timestamp": "07/16/2022 13:04:00",
"content": "Channel closed",
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}
] |
help-9
|
98dba68af5bd40d4a0fdd3b45e068d98
|
197,187 |
[
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"id": 997922374626312200,
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"content": "Available help channel!",
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},
{
"id": 997922737387491300,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:48:41",
"content": "Hello",
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},
{
"id": 997922739979554800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 997923001343410200,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:49:44",
"content": "What do you have so far",
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},
{
"id": 997923101755052000,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:50:07",
"content": "Hello I have done the previous questions",
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},
{
"id": 997923145673621500,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:50:18",
"content": "But Im stuck on these questions",
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"reference": null
},
{
"id": 997923382232350700,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:51:14",
"content": "Eliminate some of the choices that you know are wrong",
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"mentions": [],
"reference": null
},
{
"id": 997923858097119400,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:53:08",
"content": "tbh I dont know what to eliminate",
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"mentions": [],
"reference": null
},
{
"id": 997923956625514500,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:53:31",
"content": "What is tangent in terms of sin and cos?",
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},
{
"id": 997924237497073800,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:54:38",
"content": "$tan \\theta$ I mean",
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},
{
"id": 997924247915733000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/16/2022 13:54:41",
"content": "**hello2248**",
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"id": 997924336059035600,
"author_id": 768263718005768200,
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"timestamp": "07/16/2022 13:55:02",
"content": "The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x .",
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},
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"id": 997924440916627500,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:55:27",
"content": "Missing the / sign but that's fine",
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},
{
"id": 997924478241743000,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:55:36",
"content": "So you can use that to eliminate an answer choice for 3",
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},
{
"id": 997924815212138500,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:56:56",
"content": "−sin^2 θ = cos^2 θ − 1",
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},
{
"id": 997924915661508700,
"author_id": 768263718005768200,
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"timestamp": "07/16/2022 13:57:20",
"content": "=-1 +cos^2(0)",
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},
{
"id": 997925218188263400,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/16/2022 13:58:32",
"content": "What is this? ^",
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},
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"id": 997925449877434400,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 13:59:27",
"content": ".close",
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},
{
"id": 997925451450306600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 13:59:28",
"content": "Channel closed",
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}
] |
help-9
|
ae180c5d0d374b2d95f99d3526ad7c9f
|
197,188 |
[
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"timestamp": "07/16/2022 14:00:28",
"content": "Available help channel!",
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},
{
"id": 997946295945801700,
"author_id": 606164631370858500,
"author_name": "Ml",
"timestamp": "07/16/2022 15:22:17",
"content": "Hey i currently got the task to formalize some statements with modal logic , has anyone perhaps some good sources to learn more about the subject?",
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},
{
"id": 997946297795498000,
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"timestamp": "07/16/2022 15:22:18",
"content": "Pinned a message.",
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"id": 997946358164115600,
"author_id": 606164631370858500,
"author_name": "Ml",
"timestamp": "07/16/2022 15:22:32",
"content": "Because I really dont get it",
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},
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"id": 997950134144991400,
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"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 15:37:32",
"content": "@Ml Has your question been resolved?",
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"timestamp": "07/16/2022 15:52:33",
"content": "Channel closed",
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}
] |
help-9
|
cbc37cf09f9344a89ac7978745702ce3
|
197,189 |
[
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"timestamp": "07/16/2022 15:53:33",
"content": "Available help channel!",
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},
{
"id": 997956507574472800,
"author_id": 909676255102795800,
"author_name": "Rivology",
"timestamp": "07/16/2022 16:02:52",
"content": "How would i solve this problem",
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{
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"content": "Pinned a message.",
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"author_name": "Rivology",
"timestamp": "07/16/2022 16:06:28",
"content": "@Helpers",
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},
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"id": 997961188505833600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 16:21:28",
"content": "@Rivology Has your question been resolved?",
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"id": 997962420641353900,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/16/2022 16:26:22",
"content": "A common trick for this kind of problems is to try to bound the polynomial between two consecutive squares for large enough values. That is, try to find x (which can depend on n) such that x² < 4n²+3n+18 < (x+1)² for large enough values of n. By definition of consecutive squares, that will tell you there can be no solutions beyond some n that you can compute.",
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"timestamp": "07/16/2022 16:54:42",
"content": "@Rivology Has your question been resolved?",
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"timestamp": "07/16/2022 17:24:42",
"content": "Channel closed",
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] |
help-9
|
01e004901f5a4d259dcc1874b31db46c
|
197,190 |
[
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"content": "Available help channel!",
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},
{
"id": 997979252060344400,
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"content": "Pinned a message.",
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"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:33:54",
"content": "I understand to make this a partial decompsition to solve it but i don't know where to start with a b in the numerator",
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},
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"id": 997979694836219900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/16/2022 17:35:00",
"content": "long division",
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{
"id": 997979752117841900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/16/2022 17:35:14",
"content": "cuz degree in the numerator is higher",
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"id": 997979760716165100,
"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:35:16",
"content": "yes but how do i get it into that form with the b in the top",
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"author_name": "dldh06",
"timestamp": "07/16/2022 17:35:28",
"content": "Pretty sure if n > m then you need long division",
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},
{
"id": 997979885412827100,
"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:35:46",
"content": "yea i got that but im unusre how to accurately do that in this form",
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"id": 997979903897120800,
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"timestamp": "07/16/2022 17:35:50",
"content": "treat b as number and that's it basically",
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"author_name": "millesux",
"timestamp": "07/16/2022 17:36:27",
"content": "is there any chance you could run it through im lost and ive tried",
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},
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"id": 997980171493724200,
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"author_name": "dldh06",
"timestamp": "07/16/2022 17:36:54",
"content": "What did you try? Do you have work?",
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"id": 997980238204117000,
"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:37:10",
"content": "i tried taking an x out of the denomator to factor it",
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},
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"id": 997980307267539000,
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"author_name": "millesux",
"timestamp": "07/16/2022 17:37:26",
"content": "and then re writing the x^2 +6x +9",
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},
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"id": 997980325680521300,
"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:37:31",
"content": "but that didn't help",
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},
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"id": 997981074091159600,
"author_id": 748991277902856300,
"author_name": "millesux",
"timestamp": "07/16/2022 17:40:29",
"content": ".close",
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},
{
"id": 997981075513036900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 17:40:29",
"content": "Channel closed",
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}
] |
help-9
|
8a2c2573cad24888bb3b186fb5caf1ec
|
197,191 |
[
{
"id": 997981778298032300,
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"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 17:43:17",
"content": "Available help channel!",
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},
{
"id": 997985859569729500,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 17:59:30",
"content": "Help",
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},
{
"id": 997985861335531500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 17:59:31",
"content": "Pinned a message.",
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"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 17:59:47",
"content": "So it’s a rewrite a fraction as a decimal question",
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},
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"id": 997985938833690800,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 17:59:49",
"content": "It’s",
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"reference": null
},
{
"id": 997985980529254500,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 17:59:59",
"content": "82 over 5",
"attachments": [],
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},
{
"id": 997986500736196900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/16/2022 18:02:03",
"content": "Do the euclidian division of 82 by 5, to get the quotient and rest",
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"mentions": [],
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},
{
"id": 997986556335882200,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 18:02:16",
"content": "Okay",
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},
{
"id": 997986565894709400,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 18:02:19",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997986700011769900,
"author_id": 769547660457279500,
"author_name": "Kirigama",
"timestamp": "07/16/2022 18:02:50",
"content": ".close",
"attachments": [],
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},
{
"id": 997986702293483500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 18:02:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
34a780f609924e669b60a7d59e551cb1
|
197,192 |
[
{
"id": 997992988020048000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 18:27:50",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997999888002449400,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:55:15",
"content": "During the course of the week I don’t want to wear the same shirt more than once. How many ways can I select 5 shirts to wear in order from Monday to Friday, from my collection of 15 shirts?",
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},
{
"id": 997999890317709300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 18:55:15",
"content": "Pinned a message.",
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"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:55:26",
"content": "How do I figure this out w/o using combination and permutations",
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},
{
"id": 998000016071332000,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:55:45",
"content": "I can figure it out by listing all the possible outcomes but I cant figure it out using math",
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},
{
"id": 998000373828698100,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:57:11",
"content": "I know that there's atleast 3 different ways because 5*3 = 15",
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},
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"id": 998000837911650400,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 18:59:01",
"content": "First, how many options will you have on monday?",
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"id": 998000904961806500,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:59:17",
"content": "15 options on monday",
"attachments": [],
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},
{
"id": 998000978630541300,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 18:59:35",
"content": "Okay, now consider that you won't be able to wear that shirt anymore, how many will you have on tuesday?",
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},
{
"id": 998001008733061100,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 18:59:42",
"content": "14 now on tuesday",
"attachments": [],
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},
{
"id": 998001079038001200,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 18:59:59",
"content": "So, considering only the shirts that you wear on the first 2 days, how many possibilities are there?",
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},
{
"id": 998001248211062800,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:00:39",
"content": "2 options?",
"attachments": [],
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},
{
"id": 998001548405780500,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:01:51",
"content": "I don't know how you reached that answer, but let me rephrase it. How many possible combinations of shirts can you wear from monday to tuesday? (so ignoring for now what you will wear after tuesday)",
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},
{
"id": 998001932130058200,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:03:22",
"content": "I mean the possible combinations on monday would be 1 cause you can only wear one shirt?",
"attachments": [],
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},
{
"id": 998001997791887500,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:03:38",
"content": "...Right, but there's 15 of them",
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{
"id": 998002056856084600,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:03:52",
"content": "15 total possible combinations (well, combinations of 1 thing, but you get the point)",
"attachments": [],
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},
{
"id": 998002097972850700,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:04:02",
"content": "And then there's 14 possible shirts you can wear on tuesday",
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},
{
"id": 998002118885638300,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:04:07",
"content": "Yes",
"attachments": [],
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"reference": null
},
{
"id": 998002211005157500,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:04:29",
"content": "I'm asking for the total number of possible combinations of shirts from monday to tuesday",
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},
{
"id": 998002404215763100,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:05:15",
"content": "15 + 14 = 29 D;",
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},
{
"id": 998002408707850400,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:05:16",
"content": "I'm certain you already know the answer and that I'm just not phrasing it right",
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},
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"id": 998002422121242800,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:05:19",
"content": "+?",
"attachments": [],
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{
"id": 998002468598317000,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:05:30",
"content": "I just added the combinations from monday and tuesday",
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},
{
"id": 998002510998552600,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:05:40",
"content": "Ehm...",
"attachments": [],
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},
{
"id": 998002577557950500,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:05:56",
"content": "Okay, suppose you have a... stick with a... ball at the end (I'm not very creative)",
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},
{
"id": 998002620230799400,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:06:06",
"content": "There's 3 possible colors for the stick and 3 possible colors for the ball",
"attachments": [],
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},
{
"id": 998002669169938600,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:06:18",
"content": "How many stick 'n ball combinations can you make?",
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},
{
"id": 998002714309050500,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:06:29",
"content": "9",
"attachments": [],
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},
{
"id": 998002772488229000,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:06:42",
"content": "Right, because 3 possibilities for the stick, 3 possibilities for the ball, 3*3=9",
"attachments": [],
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},
{
"id": 998002793501692000,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:06:47",
"content": "Yes",
"attachments": [],
"mentions": [],
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},
{
"id": 998002797956038700,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:06:49",
"content": "Now... what about the shirts?",
"attachments": [],
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},
{
"id": 998002910627647600,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:07:15",
"content": "so 15 * 14 ouuu okay Im seeing it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998002986573889500,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:07:33",
"content": "Alright, so, what if we extend this to the 5 days?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998003176676536400,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:08:19",
"content": "360360",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998003236013363200,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:08:33",
"content": ",calc 15*14*13*12*11",
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},
{
"id": 998003237447794800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/16/2022 19:08:33",
"content": "Result:\n```\n3.6036e+5\n```",
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},
{
"id": 998003321094819800,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:08:53",
"content": "Right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998003348190003300,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:09:00",
"content": "Well, here you go",
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},
{
"id": 998003400891449300,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:09:12",
"content": "My explanation might've been lacking but it's the end that counts",
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"mentions": [],
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},
{
"id": 998003522782105600,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:09:41",
"content": "mmmm okay I'm seeing it. That helps really. Ive always struggled with combinations and permutations, one of the things I hate most but thank you!",
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},
{
"id": 998003580319584400,
"author_id": 836201000461271000,
"author_name": "Labyrinth",
"timestamp": "07/16/2022 19:09:55",
"content": "Alright, you can `.close` now",
"attachments": [],
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},
{
"id": 998003617044889600,
"author_id": 209761337339805700,
"author_name": "Jelotto",
"timestamp": "07/16/2022 19:10:04",
"content": ".close",
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},
{
"id": 998003618714226800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 19:10:04",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
254e048eb03046a2a71c55e6c1bf24ef
|
197,193 |
[
{
"id": 958917601264795600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 22:36:11",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 958918760482357200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/30/2022 22:40:48",
"content": "",
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"timestamp": "03/30/2022 22:40:48",
"content": "Pinned a message.",
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"id": 958918826043510800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/30/2022 22:41:03",
"content": "what do i even",
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},
{
"id": 958918828610445300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/30/2022 22:41:04",
"content": "do",
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{
"id": 958918909602435100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/30/2022 22:41:23",
"content": "no clue where to start where to go where to end where to live where to die",
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},
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"timestamp": "03/30/2022 22:56:24",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "03/30/2022 22:56:28",
"content": "Channel closed",
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}
] |
help-9
|
9873aa99888348e68c39778656a918ce
|
197,194 |
[
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"author_id": 805217272087838700,
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"timestamp": "07/16/2022 19:11:05",
"content": "Available help channel!",
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},
{
"id": 998006920147370100,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:23:11",
"content": "I am trying to get the phase shift for my graph, I'm not sure how to get it. I thought it was 1/2.",
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},
{
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"timestamp": "07/16/2022 19:27:04",
"content": "what is your goal? what are you trying to do",
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},
{
"id": 998007953779077100,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:27:18",
"content": "I am trying to write an equation for that graph",
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},
{
"id": 998007995143290900,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:27:28",
"content": "I am having trouble getting the phase shift",
"attachments": [],
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},
{
"id": 998008011568189400,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:27:32",
"content": "ooh",
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},
{
"id": 998008034062245900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:27:37",
"content": "whats the equation on the top?",
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},
{
"id": 998008103217934300,
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"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:28:28",
"content": "okay",
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},
{
"id": 998008321678250000,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:28:45",
"content": "is the equation on the top of the first photo an attempt?",
"attachments": [],
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},
{
"id": 998008342725267500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:28:51",
"content": "of the formula",
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},
{
"id": 998008353097781400,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:28:53",
"content": "Yes",
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},
{
"id": 998008396617896000,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:29:03",
"content": "I got everything correct except phase shift",
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"timestamp": "07/16/2022 19:29:14",
"content": "ohh ok",
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"timestamp": "07/16/2022 19:29:20",
"content": "so graphing that equation you put in",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:29:54",
"content": "it seems that your equation needs to be shifted to the right (or left) so that the max meets the respective points",
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"id": 998008715380805800,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:30:19",
"content": "gime a sec",
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"author_name": "caarson",
"timestamp": "07/16/2022 19:30:38",
"content": "Yes so I thought I would be shifting it back by 1/2",
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"id": 998008839385382900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:30:49",
"content": "are you sure your period is correct?",
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"id": 998008854380040300,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:30:52",
"content": "I know it's not as easy as that :laughingcryingemoji:",
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"id": 998008880942551200,
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"timestamp": "07/16/2022 19:30:59",
"content": "Yes",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:31:02",
"content": "yeh tru",
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"timestamp": "07/16/2022 19:31:17",
"content": "",
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"timestamp": "07/16/2022 19:31:19",
"content": "oh ok yes it is correct",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:31:38",
"content": "you need to move the graph left by 1.239",
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"id": 998009141366882400,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:32:01",
"content": "How did you derive that number?",
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"id": 998009299966099500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:32:39",
"content": "graphing",
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"id": 998009435081420800,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:33:11",
"content": "waitt",
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"id": 998009849713541400,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:34:50",
"content": "oooh i see why its 4pi/3",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:35:01",
"content": "your period is (2pi/3) which is correct",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:35:09",
"content": "and as a cosx graph, the maximum starts at x=0",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:35:20",
"content": "so to move your graph to 2 points to the right, you must shift right by 4pi/3",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:35:33",
"content": "because 2 * (2pi/3) is 4pi/3",
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"id": 998010138776567800,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:35:59",
"content": "Wai",
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{
"id": 998010145713946600,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:36:00",
"content": "t",
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"id": 998010336349274200,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:36:46",
"content": "How do I know that my graph is moving by 2",
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"id": 998010475428196500,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:37:19",
"content": "the original graph's maxima starts at x=0",
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"id": 998010509490127000,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:37:27",
"content": "in your question, the function has a maximum point at (2,11)",
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"id": 998010518084260000,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:37:29",
"content": "where x=2",
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"id": 998010534848901100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:37:33",
"content": "so you must move to the right by 2",
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{
"id": 998010788247765000,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:38:34",
"content": "do you see why now",
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"id": 998010924331974800,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:39:06",
"content": "A little bit foggy on how (2, 11) is found",
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"id": 998010964471447600,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:39:16",
"content": "Nvm",
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"id": 998010974508425300,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:39:18",
"content": "Wrong graph",
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{
"id": 998010988072800500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:39:21",
"content": "in the question it says (2,11)",
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{
"id": 998011017076428800,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:39:28",
"content": "oh",
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{
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:39:37",
"content": "you basically got it, you just had to shift right by 2",
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"id": 998011634893201500,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:41:55",
"content": "So firstly the equation should not be looked at as just Asin(Bx-C)-D it should be in this form instead:",
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"timestamp": "07/16/2022 19:42:16",
"content": "",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:42:23",
"content": "no sinx totally works too",
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{
"id": 998011774261539000,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:42:29",
"content": "its just more complicated",
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{
"id": 998011847875776600,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:42:46",
"content": "because in the question, it says the maximum is at 2, and to remember, cosx graph maxmimum always start at x=0",
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"id": 998011920487551100,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:04",
"content": "so all you had to do is get the right A, B and D value then shift right by 2",
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"id": 998011954415280300,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:12",
"content": "also here look",
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"id": 998012016864276500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:26",
"content": "5cos (B (x-2)) +6",
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{
"id": 998012053212106900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:35",
"content": "and you found out that B = (2pi/3)",
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{
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:39",
"content": "so you just multiply it out",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:55",
"content": "5cos ((2pi/3)x) - (4pi/3)) + 6",
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{
"id": 998012152071868500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:43:59",
"content": "is your correct equation",
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{
"id": 998012216999673900,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:44:14",
"content": "you multiply your c value of -2 with your B and thats how you shift it right by 2",
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:44:37",
"content": "sin graph works too though. just harder given the context of maxima and minima",
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"id": 998012394779455500,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:44:57",
"content": "Okay, C is the distance between the y axis and the start of the period?",
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"id": 998012495203672000,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:45:21",
"content": "C is the distance between the original maxima (x=0) and your given maxima (x=2)",
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"id": 998012539831078900,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:45:31",
"content": "which is 2",
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"id": 998012626418290700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:45:52",
"content": "How did you know the position of the original maxima",
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"id": 998012679069380700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:46:04",
"content": "just by comparing it to a regular cos graph?",
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"id": 998012695133552800,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:08",
"content": "yep",
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"id": 998012753610543100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:22",
"content": "every cosx graph starts at a maximum",
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"id": 998012796887367800,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:46:32",
"content": "This is different for sin",
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{
"id": 998012800066666500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:33",
"content": "and every sinx graph starts at the equilibrium (middle)",
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"id": 998012813014466600,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:36",
"content": "yes",
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"id": 998012844870225900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:44",
"content": "and because of the given context, its much easier to calculate using cosx than sinx",
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"id": 998012903204585500,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:46:58",
"content": "or not, depending on how your mind works. both work though",
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"id": 998012907201765500,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:46:59",
"content": "where you would need to start at it's beginning period which is the midline as well",
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"id": 998012935307788400,
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"author_name": "michaelllll",
"timestamp": "07/16/2022 19:47:05",
"content": "yes",
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"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:47:13",
"content": "so if you got the sinx graph of",
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"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:47:26",
"content": "5 sin ((2pi/3) (x-c)) + 6",
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{
"id": 998013041520152600,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:47:31",
"content": "c would have to be differently calculated",
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{
"id": 998013051510984700,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:47:33",
"content": "much more complicated",
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},
{
"id": 998013213453062100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:12",
"content": "here is the correct sinx graph for the function",
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{
"id": 998013235074703500,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:17",
"content": "5\\sin\\left(\\frac{2\\pi}{3}\\left(x-1.25\\right)\\right)+6",
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{
"id": 998013261893087200,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:23",
"content": "wait nvm idk how to use the thing",
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"id": 998013265449844900,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:24",
"content": "its",
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{
"id": 998013346039214100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:43",
"content": "5 sin((2pi/3)x - (1.25*2pi/3)) + 6",
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},
{
"id": 998013368432599000,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:48:49",
"content": "so just stick to cos in this context",
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"id": 998013449823080400,
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"author_name": "caarson",
"timestamp": "07/16/2022 19:49:08",
"content": "Okay",
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{
"id": 998013777918304300,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:50:26",
"content": "do you get it",
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"id": 998013815193092100,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:50:35",
"content": "i can explain simpleri f u wnat",
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"id": 998013901973225600,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 19:50:56",
"content": "I'm trying to do it with another equation to see if I get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998013995032248300,
"author_id": 889702367778455600,
"author_name": "michaelllll",
"timestamp": "07/16/2022 19:51:18",
"content": "nice",
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"reference": null
},
{
"id": 998017677685686400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 20:05:56",
"content": "@caarson Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 20:20:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
cff1ddb4c77f45e5be1955d8131029a2
|
197,195 |
[
{
"id": 998023801709273100,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/16/2022 20:30:16",
"content": ".reopen",
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},
{
"id": 998023807233163400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 20:30:18",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998027582765277300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 20:45:18",
"content": "@caarson Has your question been resolved?",
"attachments": [],
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{
"id": 327641170597511200,
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:00:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2be4516abbc845d58e5e5d45ef6b20b2
|
197,196 |
[
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"id": 998031611880812500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:01:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998031732320247800,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
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"content": "",
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"id": 998031734962671600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:01:48",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 998031732320247800,
"channelId": 486844875632017400,
"guildId": null
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"id": 998031844371075100,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:02:14",
"content": "Would anyone mind helping me learn how to do this? The whole MyLab system is down which has all the examples im supposed to use =/",
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"reference": null
},
{
"id": 998034849787031700,
"author_id": 896625754383724500,
"author_name": "lirmirit",
"timestamp": "07/16/2022 21:14:10",
"content": "https://help.desmos.com/hc/en-us/articles/4406810279693-Integrals",
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},
{
"id": 998034969542799500,
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"id": 998035894646870100,
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"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:18:19",
"content": "Is that just showing me how to integrate the prlbem with a calculator?",
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},
{
"id": 998036023198109800,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:18:50",
"content": "I can integrate it i just dont really know what its asking",
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},
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"id": 998036668504355000,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:21:24",
"content": ".close",
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},
{
"id": 998036669938802700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:21:24",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e5c178588a0e44058ee3b0a4b540e0f3
|
197,197 |
[
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"id": 998036923291545600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:22:25",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
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"id": 998039590722080900,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
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"id": 998039593179951100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:33:01",
"content": "Pinned a message.",
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"messageId": 998039590722080900,
"channelId": 486844875632017400,
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"id": 998039755319160800,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:33:40",
"content": "So im alittle confused on what its wanting me to do",
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},
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"id": 998040060345725000,
"author_id": 198722610920554500,
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"id": 998040083053686800,
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"timestamp": "07/16/2022 21:34:58",
"content": "Was that just what they wanted?",
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},
{
"id": 998040396934418400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/16/2022 21:36:13",
"content": "Shouldn’t it be x^4 instead of x^3?",
"attachments": [],
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"id": 998040581085339800,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:36:57",
"content": "yes...yes it should xD",
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{
"id": 998040608885182500,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:37:03",
"content": "but it didnt even seem to need to be done lol",
"attachments": [],
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},
{
"id": 998040674790285300,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 21:37:19",
"content": "Thats whats confusing me, idk what theyre asking lol",
"attachments": [],
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},
{
"id": 998044450498560100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 21:52:19",
"content": "@Hiabusha Has your question been resolved?",
"attachments": [],
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"id": 998049406928572400,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 22:12:01",
"content": "did i find the area right?",
"attachments": [],
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},
{
"id": 998050654272626800,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 22:16:58",
"content": "like am i doing it right?",
"attachments": [],
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{
"id": 998058205026451500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 22:46:59",
"content": "@Hiabusha Has your question been resolved?",
"attachments": [],
"mentions": [
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"id": 198722610920554500,
"name": "Hiabusha",
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"id": 998065586116501500,
"author_id": 198722610920554500,
"author_name": "Hiabusha",
"timestamp": "07/16/2022 23:16:18",
"content": ".close",
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},
{
"id": 998065589203521500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 23:16:19",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f207e31d66ad4faebff06533e5da9218
|
197,198 |
[
{
"id": 998065841193107500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/16/2022 23:17:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998067899363246200,
"author_id": 768263718005768200,
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"timestamp": "07/16/2022 23:25:30",
"content": "Pinned a message.",
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"id": 998067965952020600,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:25:46",
"content": "I would like some help",
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},
{
"id": 998068614559178900,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:28:20",
"content": "@Helpers",
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},
{
"id": 998068892532490200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:29:27",
"content": "I'm pretty sure I told you this many times before\n**You have to wait at least 15 minutes before pinging helpers**",
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"id": 998069040411062400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:30:02",
"content": "And here's a video, if you don't understand transformations for sine functions\nhttps://www.youtube.com/watch?v=cGlxi451oVg&ab_channel=MySecretMathTutor",
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{
"id": 998069144345903100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:30:27",
"content": "It uses radians but the concept is still the same for degrees",
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},
{
"id": 998069314726936700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/16/2022 23:31:07",
"content": "Did this fucker ping us again without waiting",
"attachments": [],
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"reference": null
},
{
"id": 998069379919003800,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:31:23",
"content": "pardon me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998069592364683400,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:32:14",
"content": "who are u referring to as F**er",
"attachments": [],
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"reference": null
},
{
"id": 998069651063980200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:32:28",
"content": "You because you're not respecting the rules",
"attachments": [],
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"reference": null
},
{
"id": 998069698581242000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:32:39",
"content": "You keep prematurely pinging helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998069739567976400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:32:49",
"content": "Rules exist for a reason",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998069849676857300,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:33:15",
"content": "this was my second time after waiting in another channel for 30 ins with no response",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998069887010340900,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:33:24",
"content": "mins*",
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"reference": null
},
{
"id": 998069975971528800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:33:45",
"content": "Okay, doesn't matter, every time you open a new channel the timer resets",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070014248751200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:33:54",
"content": "You still need to wait no matter what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070061245939700,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:34:05",
"content": ":Kek:",
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{
"id": 998070096478077000,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:34:14",
"content": "IM DYING LMAO",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070151855484900,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/16/2022 23:34:27",
"content": "Did you need to ping me too",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070164971073500,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:34:30",
"content": "mb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070207530684400,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:34:40",
"content": "my ribs are disentegrating as we speak",
"attachments": [],
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"reference": null
},
{
"id": 998070226635735000,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:34:45",
"content": ":LMAOOOOO:",
"attachments": [],
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"reference": null
},
{
"id": 998070268922712000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/16/2022 23:34:55",
"content": "😐",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070329438113800,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:35:09",
"content": "OMG I CANT STOP LAUGHING",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070507930914800,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:35:52",
"content": "is anyone available",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070610565537900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:36:16",
"content": "You should understand the transformations of a sine function, hence the video I sent",
"attachments": [],
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},
{
"id": 998070619818176500,
"author_id": 655816754852790300,
"author_name": "Trippy",
"timestamp": "07/16/2022 23:36:19",
"content": "alr cya",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998070866275483600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/16/2022 23:37:17",
"content": "Here's another video\nhttps://www.youtube.com/watch?v=CSgUYl1o-qo&ab_channel=MichelvanBiezen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998071846241050800,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:41:11",
"content": "",
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{
"id": 998071901257744400,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:41:24",
"content": "I was actually having trouble on this question",
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"reference": null
},
{
"id": 998074220854644700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/16/2022 23:50:37",
"content": "Then why the fuck did you send a different question??",
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{
"id": 998074322944008300,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:51:01",
"content": "I solved that one",
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},
{
"id": 998074409669632100,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/16/2022 23:51:22",
"content": "Then why the fuck did you not say that?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998074411234099300,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:51:22",
"content": "the video helped me",
"attachments": [],
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},
{
"id": 998074467764928500,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/16/2022 23:51:36",
"content": "whats with the attitude",
"attachments": [],
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"reference": null
},
{
"id": 998076908359139300,
"author_id": 768263718005768200,
"author_name": "3336",
"timestamp": "07/17/2022 00:01:18",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 998077813217304600,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/17/2022 00:04:54",
"content": "Instead of just pinging me or the other guy and telling us what your issue is, you decide to ping all the helpers?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998078209327382700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/17/2022 00:06:28",
"content": "@dldh06 should I close this chat?",
"attachments": [],
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{
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"name": "dldh06",
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},
{
"id": 998078347445805200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 00:07:01",
"content": "Technically, they're allowed to now because it's been more than 15 minutes since they asked",
"attachments": [],
"mentions": [
{
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"name": "caden_the_cadet",
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}
],
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},
{
"id": 998078501376766000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/17/2022 00:07:38",
"content": "He waited 10",
"attachments": [],
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},
{
"id": 998078682709102600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 00:08:21",
"content": "No, it starts after they posted the question, not from the last inactive message",
"attachments": [],
"mentions": [],
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},
{
"id": 998078844353396900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 00:08:59",
"content": "So they posted, the question at time frame, hh:41, they pinged at hh:01",
"attachments": [],
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"reference": null
},
{
"id": 998080684361011200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 00:16:18",
"content": "@3336 Has your question been resolved?",
"attachments": [],
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"id": 998084459515625500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 00:31:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d13fe274f0254a34ac2d394e8295b3da
|
197,199 |
[
{
"id": 998084712692203500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 00:32:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998084998085218300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:33:27",
"content": "",
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"timestamp": "07/17/2022 00:33:27",
"content": "Pinned a message.",
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"id": 998085246421573600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:34:26",
"content": "do you know how to get the sum of interior angles of a polygon with n sides?",
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},
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"id": 998085304776937500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:34:40",
"content": "No",
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},
{
"id": 998085348649353300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:34:50",
"content": "I am new to this",
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},
{
"id": 998086065707565000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:37:41",
"content": "so you do not know the the sum of interior angles in a polygon with n sides is (n-2)*180°?",
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},
{
"id": 998086241742508000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:38:23",
"content": "No",
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},
{
"id": 998086413964820600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:39:04",
"content": "do you at least know the sum of interior angles in a triangle?",
"attachments": [],
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},
{
"id": 998086437448720400,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:39:10",
"content": "180",
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},
{
"id": 998086733197496300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:40:20",
"content": "and in a quadrangle? (or, say, a *square* more specifically?)",
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},
{
"id": 998086817389756500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:40:40",
"content": "360",
"attachments": [],
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"reference": null
},
{
"id": 998086874474217500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:40:54",
"content": "are you asking me or secondguessing yourself",
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},
{
"id": 998086938223448000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:41:09",
"content": "Guessing",
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},
{
"id": 998087101373489300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:41:48",
"content": "well your guess happens to be right, but the fact that you guessed is kinda 😬",
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},
{
"id": 998087133547987100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:41:56",
"content": "I mean",
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},
{
"id": 998087139361300500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:41:57",
"content": "I didnt guess",
"attachments": [],
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},
{
"id": 998087167416991700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:42:04",
"content": "I answered ig?",
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},
{
"id": 998087200161923100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:42:12",
"content": "Wrong word",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998087210144387200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:42:14",
"content": "...anyway",
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},
{
"id": 998087378344366200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:42:54",
"content": "do you want me to try and explain the formula that i quoted (sum of interior angles in an n-gon = (n-2)*180°) or would you rather look up its proof yourself",
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},
{
"id": 998087554811302000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:43:36",
"content": "Explain",
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},
{
"id": 998087559131439100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:43:37",
"content": "please",
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},
{
"id": 998087760843915300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:44:25",
"content": "take one of the vertices in our n-gon, and draw diagonals connecting it to the other n-3 vertices that it's not adjacent to.",
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},
{
"id": 998087807497158800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:44:36",
"content": "this splits our polygon into n-2 triangles",
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},
{
"id": 998087830830063600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:44:42",
"content": "each of which has an angle sum of 180°",
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},
{
"id": 998087905702592500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:45:00",
"content": "and the angles in the triangles add up to exactly the interior angles of the original n-gon",
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},
{
"id": 998088070404526100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:45:39",
"content": "Alright",
"attachments": [],
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},
{
"id": 998088078113648800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:45:41",
"content": "next?",
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},
{
"id": 998088154013765600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:45:59",
"content": "does the formula not immediately follow?",
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},
{
"id": 998088223714717700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:46:16",
"content": "Does n in the formula = number of sides",
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},
{
"id": 998088264122642400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:46:25",
"content": "yes",
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},
{
"id": 998088339666255900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:46:43",
"content": "\"n-gon\" means a polygon with n sides",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998088489591652500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:47:19",
"content": "So If I were to do it, it would look something like (17-2)x180 = 2880, etc etc, (aka testing out the options)",
"attachments": [],
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},
{
"id": 998088930299756500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:04",
"content": "anyways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998088943515992000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:07",
"content": "I got the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998088960230309900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:11",
"content": "thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998088969289990100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:49:13",
"content": "you do not need to test the options",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998088992224465000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/17/2022 00:49:19",
"content": "you're welcome",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998089001451929600,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:21",
"content": "Wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998089011824427000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:24",
"content": "If I didnt have options",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998089020653453300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:49:26",
"content": "how would I do it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998090235831390300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "07/17/2022 00:54:15",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998090237408452600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 00:54:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a92f65d2a8a44872852ffa2f93fae112
|
197,200 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 00:55:16",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998091820439445600,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:00:33",
"content": "",
"attachments": [
{
"id": 998091819655106600,
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},
{
"id": 998091822549172200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 01:00:34",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 998091820439445600,
"channelId": 486844875632017400,
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}
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"id": 998092411345576100,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:02:54",
"content": "completely lost",
"attachments": [],
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"reference": null
},
{
"id": 998096187104174100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 01:17:54",
"content": "@nevverr Has your question been resolved?",
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"name": "nevverr",
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],
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},
{
"id": 998101026387267700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 01:37:08",
"content": "LOLL",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998101041830711400,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:37:12",
"content": "heyy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998101191961616400,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 01:37:47",
"content": "AR(1) model represents an autoregressive model of order 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998101231157379200,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:37:57",
"content": "i dont know math",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998101249146765400,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:38:01",
"content": "im still in algebra",
"attachments": [],
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"reference": null
},
{
"id": 998101287910514800,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 01:38:10",
"content": "in order to estimate the variance you need to calculate the unconditional variance, which is then used as a predictor for the conditional variance",
"attachments": [],
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},
{
"id": 998101344357470200,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:38:24",
"content": "what dose that mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998101801196847200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:40:13",
"content": "why are you doing these problems then?",
"attachments": [],
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"timestamp": "07/17/2022 01:40:18",
"content": "nitro",
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"content": ":)",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:40:49",
"content": "what does that problem have to do with nitro",
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"content": "answer for nitro",
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"timestamp": "07/17/2022 01:40:56",
"content": "from ethan",
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"author_name": "riemann",
"timestamp": "07/17/2022 01:41:44",
"content": "still doesn't explain why you're doing it",
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"timestamp": "07/17/2022 01:41:49",
"content": "for nitro",
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"author_name": "riemann",
"timestamp": "07/17/2022 01:42:13",
"content": "ethan's giving you nitro if you do the problem?",
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"id": 998102317943500800,
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"timestamp": "07/17/2022 01:42:16",
"content": "yes",
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"id": 998102450542227600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:42:48",
"content": "but you're not equipped to do the problem so you just want someone to do it for you?",
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"id": 998102471484387500,
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"timestamp": "07/17/2022 01:42:53",
"content": "yes",
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"id": 998102525976776800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:43:06",
"content": "why would you get nitro and not that other person?",
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"id": 998102553512386600,
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"timestamp": "07/17/2022 01:43:12",
"content": "yes",
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"id": 998102655345885300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:43:36",
"content": "and why would ethan give out nitro? are you just making that up?",
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"id": 998102720135315500,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:43:52",
"content": "i hope not",
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"author_name": "riemann",
"timestamp": "07/17/2022 01:44:28",
"content": "@ethan are you giving out nitro?",
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"timestamp": "07/17/2022 01:44:49",
"content": "I posted it in a different server lol",
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"author_name": "ethan",
"timestamp": "07/17/2022 01:44:55",
"content": "if someone could solve the problem I'd give them nitro",
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"id": 998103054308081700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:45:12",
"content": "oh haha",
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"id": 998103241525043300,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:45:56",
"content": "can i have the answer",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:46:16",
"content": "read the #rules and #info . people don't just give out answers here",
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"timestamp": "07/17/2022 01:46:19",
"content": "f",
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"id": 998103497780236400,
"author_id": 823670373500846100,
"author_name": "nevverr",
"timestamp": "07/17/2022 01:46:57",
"content": "can i get help",
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"id": 998103516813987800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/17/2022 01:47:02",
"content": "@ethan gets to keep his nitro",
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"timestamp": "07/17/2022 01:47:10",
"content": "thank god I'm broke as hell",
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"content": ":(",
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"id": 998103735278506000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/17/2022 01:47:54",
"content": ".close",
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"id": 998103736717168600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 01:47:54",
"content": "Channel closed",
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}
] |
help-9
|
43a4a76f8c9e47919489974ba26fc649
|
197,201 |
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"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 01:48:55",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 456226577798135800,
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"timestamp": "07/17/2022 02:18:04",
"content": "From where (1,1) came",
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"timestamp": "07/17/2022 02:19:06",
"content": "And also need some guide in third step",
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"timestamp": "07/17/2022 02:20:09",
"content": "which question",
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"content": "i mean which part",
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"timestamp": "07/17/2022 02:20:43",
"content": "Part c",
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"author_name": "Deleted User",
"timestamp": "07/17/2022 02:21:28",
"content": "And how they get (1,1)??",
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"timestamp": "07/17/2022 02:23:34",
"content": "I feel like they put it themselves",
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"timestamp": "07/17/2022 02:24:00",
"content": "its not defined anywhere on this question",
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"timestamp": "07/17/2022 02:24:15",
"content": "Yeh that why I get confuse",
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"timestamp": "07/17/2022 02:24:28",
"content": "And what's about part c",
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"author_name": "Absolute Chips",
"timestamp": "07/17/2022 02:25:44",
"content": "ok so heres the thing, gradient of a scalar field is defined as maximum rate of change of that function, it should work with any coordinates you put it in if im not mistaken",
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"timestamp": "07/17/2022 02:26:10",
"content": "i just learnt this in my electricity and magnetism lecture so i didnt went in details of it",
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"timestamp": "07/17/2022 02:26:45",
"content": "they should have the same unit vector?",
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"timestamp": "07/17/2022 02:26:50",
"content": "You mean I can put here any value to prove these three properties??",
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"timestamp": "07/17/2022 02:26:58",
"content": "probably",
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"timestamp": "07/17/2022 02:27:02",
"content": ".",
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"timestamp": "07/17/2022 02:27:15",
"content": "I'm not pretty sure",
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"timestamp": "07/17/2022 02:27:51",
"content": "lemme try some",
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"timestamp": "07/17/2022 02:28:13",
"content": "Okay",
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"timestamp": "07/17/2022 02:30:20",
"content": "hmm",
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"timestamp": "07/17/2022 02:30:23",
"content": "doesnt seem",
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"timestamp": "07/17/2022 02:30:30",
"content": "doesnt seems like it either",
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"timestamp": "07/17/2022 02:32:09",
"content": "but probably has something to do with equal value of x and y",
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"timestamp": "07/17/2022 02:32:36",
"content": "because every value for y=x seems to give the same unit vector",
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"timestamp": "07/17/2022 02:33:07",
"content": "except when it goes to negative",
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"timestamp": "07/17/2022 02:33:14",
"content": "not too sure sorry cant help much here",
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"timestamp": "07/17/2022 02:38:42",
"content": "Okay no problem",
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"timestamp": "07/17/2022 02:39:00",
"content": "@Helpers \nAnyone else please",
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"timestamp": "07/17/2022 02:52:46",
"content": "ok i think i get it",
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"timestamp": "07/17/2022 02:53:00",
"content": "they skipped a few steps",
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"timestamp": "07/17/2022 02:53:08",
"content": "Hmm",
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"timestamp": "07/17/2022 02:53:23",
"content": "Hmm please explain it if possible",
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"author_name": "riemann",
"timestamp": "07/17/2022 02:54:04",
"content": "you're supposed to calculate the dot product that looks something like this",
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"timestamp": "07/17/2022 02:54:21",
"content": "here $x_0$ is the unknown what you're solving for. the solution just tells you it's $(1,1)$",
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"timestamp": "07/17/2022 02:54:24",
"content": "**riemann**",
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"timestamp": "07/17/2022 02:54:34",
"content": "You mean direction derivatives",
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"timestamp": "07/17/2022 02:54:45",
"content": "exactly",
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"timestamp": "07/17/2022 02:55:12",
"content": "so to maximize that to find \"rapid increase\", it's equivalent to maximize",
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"timestamp": "07/17/2022 02:55:29",
"content": "But they are given any unit vector",
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"timestamp": "07/17/2022 02:55:34",
"content": "For this purpose",
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"content": "u is unknown, yea",
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"timestamp": "07/17/2022 02:55:53",
"content": "Then??",
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"author_id": 261933205387477000,
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"timestamp": "07/17/2022 02:56:09",
"content": "so you know $\\cos(\\theta)$ has a max value of 1",
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"timestamp": "07/17/2022 02:56:12",
"content": "**riemann**",
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"content": "Yes",
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"timestamp": "07/17/2022 02:56:25",
"content": "so you're just left to find the maximum of the norm of the gradient",
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"timestamp": "07/17/2022 02:56:59",
"content": "and because you're only looking for a direction, you can restrict yourself to unit directions",
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"timestamp": "07/17/2022 02:57:29",
"content": "Hmm",
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"author_name": "Deleted User",
"timestamp": "07/17/2022 02:58:20",
"content": "And what's about part c??",
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"timestamp": "07/17/2022 02:58:38",
"content": "Direction of zero xhange",
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"timestamp": "07/17/2022 02:58:45",
"content": "Change*",
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"author_id": 567923286789586940,
"author_name": "Absolute Chips",
"timestamp": "07/17/2022 02:59:31",
"content": "Cross product came to my mind when it says orthogonal",
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"author_name": "Absolute Chips",
"timestamp": "07/17/2022 03:00:12",
"content": "But tried it, it doesn’t give that value",
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"timestamp": "07/17/2022 03:00:27",
"content": "Yeh 🥲",
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"timestamp": "07/17/2022 03:07:24",
"content": "their solution is overly complicated. just set",
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"timestamp": "07/17/2022 03:07:42",
"content": "$||x \\hat{i} + y \\hat{j}||=0$",
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"content": "**riemann**",
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"timestamp": "07/17/2022 03:08:27",
"content": "Oh alright!!",
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"timestamp": "07/17/2022 03:08:33",
"content": "Thank you so much for your time",
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"content": ".close",
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help-9
|
85152bfd26244ce883dbfbac9f31c957
|
197,202 |
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"timestamp": "07/17/2022 03:10:00",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "Deleted User",
"timestamp": "07/17/2022 03:51:10",
"content": "Ig in first step we deff Vz wrt z but they are using dx\nAnd in second step Thier will be xydz???",
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"timestamp": "07/17/2022 03:54:56",
"content": "@Deleted User now that I think about it more, this is wrong",
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"timestamp": "07/17/2022 03:55:10",
"content": "Oh",
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"timestamp": "07/17/2022 03:55:26",
"content": "It's a typo. Should be dz",
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"timestamp": "07/17/2022 03:55:54",
"content": "Mean typing error??",
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"id": 998135975890927700,
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"timestamp": "07/17/2022 03:56:01",
"content": "Right",
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"timestamp": "07/17/2022 03:56:37",
"content": "Tell me about my first question",
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"content": "What will be right way to solve it",
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"timestamp": "07/17/2022 03:57:24",
"content": "@riemann",
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"content": "No idea",
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"timestamp": "07/17/2022 04:00:17",
"content": "Maybe ask in. #multivariable-calculus or ping helpers again",
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"timestamp": "07/17/2022 04:00:25",
"content": "Okay",
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"author_name": "Deleted User",
"timestamp": "07/17/2022 04:00:30",
"content": "Thnx for your information",
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"timestamp": "07/17/2022 04:00:40",
"content": "@Helpers !!!",
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"timestamp": "07/17/2022 04:01:14",
"content": ".. needs help in this question 🥲",
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"content": "@Deleted User Has your question been resolved?",
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"content": "@Deleted User Has your question been resolved?",
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"content": "@Deleted User Has your question been resolved?",
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"content": "Lol🥲",
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"content": "@Deleted User Has your question been resolved?",
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] |
help-9
|
8277f95d17044188b099ba65860647d7
|
197,203 |
[
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"id": 998214988017701000,
"author_id": 836893646737113100,
"author_name": "Buzz.",
"timestamp": "07/17/2022 09:09:59",
"content": "what is factorization define types of factorization",
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"author_name": "giannis_money",
"timestamp": "07/17/2022 09:13:34",
"content": "It means to write something as a product of other things",
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"timestamp": "07/17/2022 09:19:44",
"content": "types?",
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"content": "Product of one thing, two things, three things, and so on",
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"timestamp": "07/17/2022 09:20:42",
"content": "There can be different types of things",
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"content": "one of their type is Prime Factorization i guess",
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"timestamp": "07/17/2022 09:20:54",
"content": "Yes",
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"id": 998217786750939100,
"author_id": 836893646737113100,
"author_name": "Buzz.",
"timestamp": "07/17/2022 09:21:06",
"content": "can u state the total types of Factorization",
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},
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"id": 998217796037115900,
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"timestamp": "07/17/2022 09:21:08",
"content": "their names only",
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},
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"id": 998218111146807300,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 09:22:23",
"content": "There are infinitely many \"types\". It depends how exactly you want to categorise all of them in a finite set",
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"id": 998218288658133000,
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"timestamp": "07/17/2022 09:23:06",
"content": "",
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"author_name": "Buzz.",
"timestamp": "07/17/2022 09:23:15",
"content": "should i write these 3 types.",
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"id": 998218551674552400,
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"author_name": "giannis_money",
"timestamp": "07/17/2022 09:24:08",
"content": "Should you write what?",
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"id": 998218618510778500,
"author_id": 836893646737113100,
"author_name": "Buzz.",
"timestamp": "07/17/2022 09:24:24",
"content": "the 3 types that are mentioned in the picture above",
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"timestamp": "07/17/2022 09:24:40",
"content": "Idk? If you want to",
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"timestamp": "07/17/2022 09:25:22",
"content": "this is the simplest definition of **Factorization**?",
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"timestamp": "07/17/2022 09:25:57",
"content": "Maybe idk. Though it's slightly vague",
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"timestamp": "07/17/2022 09:26:16",
"content": "aight, ty anyways.",
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"timestamp": "07/17/2022 09:26:38",
"content": ".close",
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"content": "Channel closed",
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help-9
|
d1b474ae47564c1b9b4598906426cbcc
|
197,204 |
[
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"timestamp": "03/30/2022 22:57:29",
"content": "Available help channel!",
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"timestamp": "03/30/2022 23:03:11",
"content": "hi how could i do this",
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"content": "@GrassyGoose Has your question been resolved?",
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help-9
|
d6efb50e8a294bdfb01ab35ef683dd97
|
197,205 |
[
{
"id": 998219437763199000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 09:27:39",
"content": "Available help channel!",
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},
{
"id": 998220201046843500,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:30:41",
"content": "hey guys",
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"id": 998220203018170400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:30:45",
"content": "I'm a little confused",
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"id": 998220252829732900,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:30:54",
"content": "about the way proofs by contradiction work",
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"id": 998220290737832100,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:31:03",
"content": "I had to prove that A->B",
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"id": 998220380634353700,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:31:24",
"content": "so I proved by contradiction and assumed ¬A and B and got to a contradiction",
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"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:31:34",
"content": "all this means is that ¬(¬A^B)",
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"id": 998220463010484400,
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"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:31:44",
"content": "that doesn't prove that A->B does it?",
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"id": 998220593000353900,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:32:15",
"content": "¬(¬A^B) could mean that ¬A and ¬B, or A and ¬B which is the exact opposite of what we're trying to prove",
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"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:32:59",
"content": "how do I prove by contradiction that A->B?",
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"timestamp": "07/17/2022 09:34:29",
"content": "what I need to do is assume that ¬(A->B) is true, and then get a contradiction, and ¬(A->B) is A ^ ¬B right? Sorry I don't really know logic",
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"timestamp": "07/17/2022 09:49:29",
"content": "@SMorcrux Has your question been resolved?",
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"timestamp": "07/17/2022 09:49:42",
"content": "I mean",
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"author_id": 335329581190086660,
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"timestamp": "07/17/2022 09:49:46",
"content": "I solved the question mysself",
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"timestamp": "07/17/2022 09:49:47",
"content": "so I guess",
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"timestamp": "07/17/2022 09:49:49",
"content": ".close",
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},
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"id": 998225061880275000,
"author_id": 335329581190086660,
"author_name": "SMorcrux",
"timestamp": "07/17/2022 09:50:00",
"content": "wait how do you close a room",
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"timestamp": "07/17/2022 09:50:14",
"content": ".close",
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},
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"id": 998225121661685800,
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"timestamp": "07/17/2022 09:50:15",
"content": "Channel closed",
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] |
help-9
|
74cc57d7069e4bc999ea0d8acd52a554
|
197,206 |
[
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"content": "Available help channel!",
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"id": 998226393353703400,
"author_id": 485374570157834240,
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"timestamp": "07/17/2022 09:55:18",
"content": "This is the question in doing",
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"id": 998226631065882600,
"author_id": 485374570157834240,
"author_name": "CARNAGE",
"timestamp": "07/17/2022 09:56:15",
"content": "Im stuck at that (-9x³),(+3x2) should have a negative sign",
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"id": 998226680407674900,
"author_id": 485374570157834240,
"author_name": "CARNAGE",
"timestamp": "07/17/2022 09:56:26",
"content": "Polynomial division",
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},
{
"id": 998227134344597600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/17/2022 09:58:14",
"content": "$$3x^4 - (-9x^3) - (-3x^2) = 3x^4 + 9x^3 + 3x^2$$",
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"id": 998227144218001500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/17/2022 09:58:17",
"content": "**Umbraleviathan**",
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"timestamp": "07/17/2022 10:04:20",
"content": "Thanks ^_^",
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"timestamp": "07/17/2022 10:04:27",
"content": ".close",
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help-9
|
4dd33c408318435abee0757a7315e499
|
197,207 |
[
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"timestamp": "07/17/2022 10:43:47",
"content": "Available help channel!",
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"id": 998238728877256800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 10:44:19",
"content": "How can you tell which is the correct way to graph by looking at the equation?",
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"id": 998238921500672100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:45:05",
"content": "2 simple methods : \n\n1) look at the sign at a specific value (that isn't a zero of course)\n\n2) look at the asymptotic behavior",
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"timestamp": "07/17/2022 10:46:01",
"content": "1) for instance f(0): if it's positive it's the upper graph",
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"timestamp": "07/17/2022 10:46:51",
"content": "Generally 0 is the simplest value to compute for polynomials (and other functions) because x just disappears so it's fewer computations",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:47:33",
"content": "Right, so I found the 3 x intercepts, lemme think about what you said for #1 and #2 pointers",
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"timestamp": "07/17/2022 10:48:00",
"content": "I always think of -x^2 as coming from the bottom",
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"id": 998239705609019400,
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"timestamp": "07/17/2022 10:48:12",
"content": "You have a cubic though",
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"author_id": 313298495417221100,
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"timestamp": "07/17/2022 10:48:22",
"content": "Yeah",
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"author_name": "themateo713",
"timestamp": "07/17/2022 10:48:43",
"content": "The point of looking at the asymptotic behavior is that only the leading term matters",
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"timestamp": "07/17/2022 10:49:29",
"content": "If it's ax^3, it goes to sgn(a) inf when x goes to +inf",
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"timestamp": "07/17/2022 10:49:43",
"content": "So if a > 0 it should go to +inf as x goes to inf",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:50:35",
"content": "How would you personally graph this? Starting in Q3 to Q1?",
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"id": 998240337120211000,
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"timestamp": "07/17/2022 10:50:42",
"content": "Or Q1 to Q3",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:50:53",
"content": "Just wondering if that matters at all for how you think about this",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:50:55",
"content": "What's Q1 and Q3",
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"id": 998240408637292500,
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"timestamp": "07/17/2022 10:50:59",
"content": "Quadrant",
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"id": 998240448864862200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 10:51:09",
"content": "Top right is Q1",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:51:11",
"content": "Use desmos",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:51:21",
"content": "To plot things",
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"id": 998240541869359200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:51:31",
"content": "Accurately",
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"id": 998240592192614500,
"author_id": 221421641438068740,
"author_name": "Naru",
"timestamp": "07/17/2022 10:51:43",
"content": "Typically for curve sketching you would use derivatives",
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"id": 998240603626291200,
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:51:46",
"content": "But I mean without a graphing calculator",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:52:00",
"content": "You can sketch it without or do you need a calculator?",
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"timestamp": "07/17/2022 10:52:09",
"content": "But yeah if the leading term is > 0 for odd powers it's in Q3 when x goes to -inf and Q1 when x goes to +inf",
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"timestamp": "07/17/2022 10:52:44",
"content": "Like the normal f(x) = x^3",
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"timestamp": "07/17/2022 10:53:07",
"content": "Oh OK - thank you",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 10:53:15",
"content": "I need to memorize this",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/17/2022 10:53:30",
"content": "Just think about it rather than memorizing",
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"timestamp": "07/17/2022 10:53:48",
"content": "It's just a matter of counting the -",
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"timestamp": "07/17/2022 10:53:52",
"content": "Yeah",
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"content": "Even makes it symmetrical",
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"content": "It goes to infinity anyways because it's a polynomial",
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"timestamp": "07/17/2022 10:54:10",
"content": "Right",
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"timestamp": "07/17/2022 10:54:33",
"content": "So for x > 0 it's the sign of the leading coeff, for x < 0 you need to take the power into account",
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"timestamp": "07/17/2022 10:54:37",
"content": "In this case it’s cubic and not negative",
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"timestamp": "07/17/2022 10:54:48",
"content": "If it was negative cubic it would be inverted vertically?",
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"timestamp": "07/17/2022 10:55:49",
"content": "Multiplying by -1 flips about the x axis yes. But it's for asymptotic behavior that you can look only at the leading coefficient",
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"timestamp": "07/17/2022 10:56:33",
"content": "all you really need to memorize imo is the graph of x^3 and -x^3",
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"timestamp": "07/17/2022 10:56:56",
"content": "Yes that's useful and definitely not hard to have in mind",
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"timestamp": "07/17/2022 10:57:20",
"content": "just check the coefficient of the term with the 3rd degree and it should look somewhat like x^3 or -x^3",
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"timestamp": "07/17/2022 10:57:52",
"content": "since anything you will really do is either stretching/squishing and translating x^3 or -x^3",
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"timestamp": "07/17/2022 10:58:05",
"content": "on top of adding lower degree terms",
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"timestamp": "07/17/2022 11:01:45",
"content": "So you’re saying I can start this when I see the term with highest power that will tell me how the cubic is shaped?",
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"content": "yes",
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"timestamp": "07/17/2022 11:02:19",
"content": "In this case it’s positive so I start drawing the graph Q3 to Q1",
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"timestamp": "07/17/2022 11:03:18",
"content": "if you really want to not think about it",
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"timestamp": "07/17/2022 11:03:31",
"content": "you can just test the values in between each x-intercept",
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"timestamp": "07/17/2022 11:03:36",
"content": "And I see there is an additional x intercept so I must include that",
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"timestamp": "07/17/2022 11:04:18",
"content": "like test in-between x = 5 and x = -7/2",
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"timestamp": "07/17/2022 11:04:29",
"content": "and see if it's positive or negative",
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"timestamp": "07/17/2022 11:04:53",
"content": "What Naru's saying extends my method 1) btw, allowing you to get the full shape once you know the roots",
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"timestamp": "07/17/2022 11:06:53",
"content": "Is this another way to think about it?",
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"timestamp": "07/17/2022 11:07:02",
"content": "ofc this is all assuming you don't care about inflection points",
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"timestamp": "07/17/2022 11:07:19",
"content": "Cubic and quadratic combined",
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"author_name": "Naru",
"timestamp": "07/17/2022 11:07:26",
"content": "no matter what is in-front of the x^2",
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"timestamp": "07/17/2022 11:07:34",
"content": "it will always follow the higher degree",
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"timestamp": "07/17/2022 11:07:45",
"content": "Right",
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"timestamp": "07/17/2022 11:08:13",
"content": "uh",
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"timestamp": "07/17/2022 11:08:44",
"content": "also for that graph the method I mentioned will not work",
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"timestamp": "07/17/2022 11:09:03",
"content": "What about the -92x? How does that factor into this graph?",
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"timestamp": "07/17/2022 11:09:09",
"content": "Oh",
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"timestamp": "07/17/2022 11:09:12",
"content": "like",
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"timestamp": "07/17/2022 11:09:35",
"content": "I'm assuming you're doing precalc",
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"timestamp": "07/17/2022 11:09:57",
"content": "so all the critical points are at x-intercepts",
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"timestamp": "07/17/2022 11:10:03",
"content": "but that is not the case for this graph",
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"timestamp": "07/17/2022 11:10:45",
"content": "I think I expanded this wrong",
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"timestamp": "07/17/2022 11:10:59",
"content": "Hmmmm",
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"timestamp": "07/17/2022 11:11:20",
"content": "actually no not critical points",
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"timestamp": "07/17/2022 11:11:21",
"content": "uhh",
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"timestamp": "07/17/2022 11:11:59",
"content": "wait",
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"timestamp": "07/17/2022 11:12:04",
"content": "yeah you expended this wrong",
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"timestamp": "07/17/2022 11:12:59",
"content": "you accidentally flipped the sign in the 3rd step",
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"timestamp": "07/17/2022 11:13:06",
"content": "shuold be 3x-4",
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"timestamp": "07/17/2022 11:13:58",
"content": "yeah ok nvm that method should work for this example",
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"timestamp": "07/17/2022 11:15:23",
"content": "I think I expanded incorrectly",
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"timestamp": "07/17/2022 11:15:31",
"content": "These lines don’t match",
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"timestamp": "07/17/2022 11:17:47",
"content": "Anybody getting the same answer for the expanded version?",
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"timestamp": "07/17/2022 11:17:58",
"content": "(Red line)",
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"timestamp": "07/17/2022 11:18:59",
"content": "this step iswrong",
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"timestamp": "07/17/2022 11:19:10",
"content": "Oh",
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"timestamp": "07/17/2022 11:20:00",
"content": "I see what you are saying now",
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"timestamp": "07/17/2022 11:20:04",
"content": "Thanks 😊",
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"author_name": "ethan",
"timestamp": "07/17/2022 11:21:17",
"content": "@avidrunner all set?",
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"timestamp": "07/17/2022 11:22:34",
"content": "This is looking better now?",
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"timestamp": "07/17/2022 11:22:57",
"content": "For the expansion I’m still not quite sure on that..",
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"timestamp": "07/17/2022 11:23:19",
"content": "Desmos is still showing the factored line lower",
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"timestamp": "07/17/2022 11:23:21",
"content": "that's still wrong",
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"timestamp": "07/17/2022 11:23:30",
"content": "Hmmm lol",
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"timestamp": "07/17/2022 11:23:37",
"content": "what's -3x times 3x",
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"timestamp": "07/17/2022 11:23:49",
"content": "Oops!",
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"timestamp": "07/17/2022 11:23:55",
"content": "My bad",
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"timestamp": "07/17/2022 11:24:12",
"content": "also",
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"author_name": "Naru",
"timestamp": "07/17/2022 11:24:22",
"content": "what's -105 + 12",
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"id": 998249240113463400,
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"author_name": "avidrunner",
"timestamp": "07/17/2022 11:26:05",
"content": "There we go 😅",
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"timestamp": "07/17/2022 11:26:23",
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"timestamp": "07/17/2022 11:26:32",
"content": "Desmos shows both lining up now, thank you",
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"timestamp": "07/17/2022 11:27:16",
"content": "So I understand for the second term ( power of 2) it doesn’t really matter if it’s positive coefficient or negative, it has to follow the highest power",
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},
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"id": 998249938016288800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:28:51",
"content": "Normally -17x² on it’s own would be Q3 to Q4 but in this case this graph is going up to infinity in Q1",
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},
{
"id": 998250412857626600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:30:45",
"content": "How does the -93x play a role in this graph?",
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},
{
"id": 998250556684517400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:31:19",
"content": "Is it adding to more of a stretch factor? It is a very stretched graph and is vertically very tall",
"attachments": [],
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"reference": null
},
{
"id": 998250671725887500,
"author_id": 221421641438068740,
"author_name": "Naru",
"timestamp": "07/17/2022 11:31:46",
"content": "something like that",
"attachments": [],
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},
{
"id": 998250730219655300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:32:00",
"content": "The local max point is +221",
"attachments": [],
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},
{
"id": 998250788302372900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:32:14",
"content": "So I need to zoom out quite a bit to see that",
"attachments": [],
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},
{
"id": 998251016162127900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:33:08",
"content": "+140 just refers to the y-axis crossing point",
"attachments": [],
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},
{
"id": 998251124068995200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:33:34",
"content": "In this case it crosses the y-axis one time at y=140",
"attachments": [],
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"reference": null
},
{
"id": 998251400742043800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:34:40",
"content": "Thanks for the help. I understand the highest order is the most important. The rest just do weird things. I would like to understand those smaller terms and coefficients leading up to the y origin but maybe I can leave that for another time",
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},
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"id": 998251594451796100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:35:26",
"content": "I suppose a good way to understand a graph in better detail is to factor first and find the x=0 roots",
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},
{
"id": 998252402547368000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 11:38:39",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 998252404363497500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 11:38:39",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d34bd42a2659463da405e183d1624d5a
|
197,208 |
[
{
"id": 998252657070313600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 11:39:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998265670292754600,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:31:22",
"content": "",
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},
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"id": 998265672628981800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 12:31:23",
"content": "Pinned a message.",
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{
"id": 998265687845904400,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:31:26",
"content": "have no clue where to start",
"attachments": [],
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},
{
"id": 998265714894966900,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:31:33",
"content": "i found radius to be 3",
"attachments": [],
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"reference": null
},
{
"id": 998265720251101300,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:31:34",
"content": "but htats it",
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"reference": null
},
{
"id": 998265875490676700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:32:11",
"content": "that's a good start",
"attachments": [],
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"reference": null
},
{
"id": 998265947297173500,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:32:28",
"content": "the problem is asking for the greatest possible distance of this segment",
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"reference": null
},
{
"id": 998266026846335100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:32:47",
"content": "@Sparky think about this: if there's two points on a sphere, where would they have to be to maximize the distance",
"attachments": [],
"mentions": [
{
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"name": "Sparky",
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}
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},
{
"id": 998266030331809900,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:32:48",
"content": "so triangle?",
"attachments": [],
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},
{
"id": 998266038863007700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:32:50",
"content": "between them",
"attachments": [],
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"reference": null
},
{
"id": 998266057041117300,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:32:54",
"content": "ro",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266060610474000,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:32:55",
"content": "um",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266085759516700,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:01",
"content": "opposite spheres?",
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},
{
"id": 998266109977428000,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:07",
"content": "okay let's make it a bit simpler",
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},
{
"id": 998266118764507100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:09",
"content": "for a circle",
"attachments": [],
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"reference": null
},
{
"id": 998266134560247900,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:13",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266171398815900,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:22",
"content": "diamter",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266172699050100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:22",
"content": "how would you make two points the farthest away from eachother",
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"reference": null
},
{
"id": 998266178696921200,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:23",
"content": "?",
"attachments": [],
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"reference": null
},
{
"id": 998266184011092100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:25",
"content": "exactly",
"attachments": [],
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},
{
"id": 998266201383915600,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:29",
"content": "opposite sides of the circle",
"attachments": [],
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},
{
"id": 998266244165796000,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:39",
"content": "now you can view a sphere as an infinite amount of circles",
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},
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"id": 998266261303726100,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:43",
"content": "yea",
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},
{
"id": 998266266869563400,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:44",
"content": "with the same center and radius",
"attachments": [],
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},
{
"id": 998266274679361700,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:46",
"content": "so it would be radius?",
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},
{
"id": 998266282837299300,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:48",
"content": "x2",
"attachments": [],
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"reference": null
},
{
"id": 998266286305984600,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:49",
"content": "answer",
"attachments": [],
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},
{
"id": 998266297676734500,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:52",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266304731545700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:33:53",
"content": "yep! that should be right",
"attachments": [],
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},
{
"id": 998266320581828600,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:33:57",
"content": "o ic",
"attachments": [],
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"reference": null
},
{
"id": 998266341318480000,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:34:02",
"content": "the surface area part",
"attachments": [],
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},
{
"id": 998266356585730000,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:34:06",
"content": "threw me off",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266389074821200,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:34:14",
"content": "yeah I get that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266414567788500,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:34:20",
"content": "I hope the question's asking just for the distance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998266435455426600,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 12:34:25",
"content": "and not the length of circumference between them",
"attachments": [],
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},
{
"id": 998266469391552600,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:34:33",
"content": "lol thanks",
"attachments": [],
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},
{
"id": 998266512873894000,
"author_id": 989645494374498400,
"author_name": "Sparky",
"timestamp": "07/17/2022 12:34:43",
"content": ".close",
"attachments": [],
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},
{
"id": 998266514459345000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 12:34:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
057767711da14dbc926e3d6fda540978
|
197,209 |
[
{
"id": 998268197105053700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 12:41:25",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998277614689071100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:18:50",
"content": "f (x) = −3(x − 3)^4(5x − 2)(2x − 1)^3(4 − x)^2",
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},
{
"id": 998277617599914000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 13:18:51",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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{
"id": 998277630849724400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:18:54",
"content": "what is the leading term?",
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},
{
"id": 998277717113962500,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:19:14",
"content": "the leading term would be the term with the highest degree of x",
"attachments": [],
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},
{
"id": 998277805659934700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:19:35",
"content": "expanding out that polynomial looks",
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},
{
"id": 998277827138965600,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:19:41",
"content": "like a lot of fun",
"attachments": [],
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"reference": null
},
{
"id": 998277867186159600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:19:50",
"content": "No need to expand that",
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"mentions": [],
"reference": null
},
{
"id": 998277937151344600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:20:07",
"content": "You just need the terms with the highest power",
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},
{
"id": 998277993745100800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:20:20",
"content": "And then multiply it together",
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},
{
"id": 998278032798261200,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:20:30",
"content": "^",
"attachments": [],
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"reference": null
},
{
"id": 998278129573445800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:20:53",
"content": "(-3x + 9)^4",
"attachments": [],
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"reference": null
},
{
"id": 998278135944585300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:20:54",
"content": "like this?",
"attachments": [],
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},
{
"id": 998278152293974100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:20:58",
"content": "No",
"attachments": [],
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},
{
"id": 998278158157615200,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:21:00",
"content": "each term",
"attachments": [],
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},
{
"id": 998278198464872600,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 13:21:09",
"content": "not each factor",
"attachments": [],
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},
{
"id": 998278266748141600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:21:25",
"content": "Highest term in each factor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998278314303180800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:21:37",
"content": "$f (x) = −3(x − 3)^4(5x − 2)(2x − 1)^3(4 − x)^2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998278324897984600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/17/2022 13:21:39",
"content": "**dldh06**",
"attachments": [
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},
{
"id": 998278395689455700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:21:56",
"content": "What's the highest term for (x − 3)^4?",
"attachments": [],
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},
{
"id": 998278471627329500,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:22:14",
"content": "ummm",
"attachments": [],
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},
{
"id": 998278498928033900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:22:21",
"content": "x, right?",
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},
{
"id": 998278507085975700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:22:23",
"content": "so 1",
"attachments": [],
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},
{
"id": 998278512307876000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 13:22:24",
"content": "No",
"attachments": [],
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},
{
"id": 998278591227908200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:22:43",
"content": "term is the letter?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998278609754140700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/17/2022 13:22:47",
"content": "coefficient is the number?",
"attachments": [],
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"reference": null
},
{
"id": 998278613491269600,
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"content": "You have to apply the exponent too",
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"content": "For example, (2x + 3)^2, I know that the highest term is (2x)^2 because if you expand it, it'll be (2x + 3)(2x + 3), so (2x)(2x) is the highest term",
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"content": "so for -3x, -3 is the coefficient, x is the term?",
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"content": "Apply that same logic",
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"content": "-3^4 = 81",
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"timestamp": "07/17/2022 13:24:43",
"content": "No",
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"timestamp": "07/17/2022 13:25:00",
"content": "No for this?",
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"content": "The highest term is the term that has the highest power",
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"content": "(-3)^4 is just a value, constant",
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"timestamp": "07/17/2022 13:25:45",
"content": "Which is of power 1",
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"content": "You have other terms that have a higher power than 1",
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"timestamp": "07/17/2022 13:26:41",
"content": "",
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"timestamp": "07/17/2022 13:26:46",
"content": "I think this is what I was looking for",
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"timestamp": "07/17/2022 13:26:48",
"content": "now I understand",
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"content": "In other words, it's the coefficient and variable, aka term, that is the highest power",
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"content": "ax^2+bx+c has 3 terms for example",
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"timestamp": "07/17/2022 13:27:48",
"content": "So I think the highest term is compound, correct?",
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"timestamp": "07/17/2022 13:27:55",
"content": "(x - 3) is the highest term?",
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"content": "So back to this, set (x − 3)^4, what's the highest term from this",
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"timestamp": "07/17/2022 13:28:20",
"content": "Applying this concept",
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"timestamp": "07/17/2022 13:28:59",
"content": "Oh, so this is not the correct answer?",
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"timestamp": "07/17/2022 13:29:04",
"content": "No",
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"timestamp": "07/17/2022 13:29:12",
"content": "(-3x + 9)?",
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"timestamp": "07/17/2022 13:29:19",
"content": "no",
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"timestamp": "07/17/2022 13:29:28",
"content": "Hmmm",
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"timestamp": "07/17/2022 13:29:53",
"content": "The leading term...",
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"timestamp": "07/17/2022 13:30:03",
"content": "I'm not sure",
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"timestamp": "07/17/2022 13:30:12",
"content": "https://tenor.com/view/no-idea-idk-i-dunno-i-dont-know-no-clue-gif-5178996",
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"content": "You want to determine the leading term from this $f (x) = −3(x − 3)^4(5x − 2)(2x − 1)^3(4 − x)^2$, instead of expanding it all out, which is tedious, you want to find the leading term of each set, applying the concept I presented above, and when you find each leading term, you multiply them all together to find the leading term of the entire equation",
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"timestamp": "07/17/2022 13:31:20",
"content": "**dldh06**",
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"content": "Each set meaning each set of parentheses",
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"timestamp": "07/17/2022 13:32:13",
"content": "Ohhhh",
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"timestamp": "07/17/2022 13:32:17",
"content": "I think I get it now..",
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"timestamp": "07/17/2022 13:32:19",
"content": "-3 is also a set/factor here right?",
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"content": "So for the first set, which has imaginary parentheses, what's the leading term?",
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"timestamp": "07/17/2022 13:33:07",
"content": "Wait, maybe I don't get it..",
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"timestamp": "07/17/2022 13:33:18",
"content": "Can you explain the first one for me?",
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"timestamp": "07/17/2022 13:33:26",
"content": "$f (x) = −3(x − 3)^4(5x − 2)(2x − 1)^3(4 − x)^2$\nThat's the equation, correct?",
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"timestamp": "07/17/2022 13:33:28",
"content": "**dldh06**",
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"timestamp": "07/17/2022 13:33:34",
"content": "yes",
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"timestamp": "07/17/2022 13:33:42",
"content": "$f (x) = (−3)(x − 3)^4(5x − 2)(2x − 1)^3(4 − x)^2$\nWhich is also this",
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"content": "**dldh06**",
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"content": "Do you agree?",
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"timestamp": "07/17/2022 13:33:54",
"content": "OK, yes",
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"timestamp": "07/17/2022 13:33:59",
"content": "All I did was add parentheses, around the -3",
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"timestamp": "07/17/2022 13:34:00",
"content": "you have added brackets to -3",
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"timestamp": "07/17/2022 13:34:02",
"content": "yeah",
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"timestamp": "07/17/2022 13:34:23",
"content": "For each set of parentheses, you have to determine the leading term",
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"timestamp": "07/17/2022 13:34:33",
"content": "Oh :/",
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"timestamp": "07/17/2022 13:34:39",
"content": "So in the first set of parentheses, what's the leading term?",
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"timestamp": "07/17/2022 13:34:52",
"content": "-3 I think?",
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"timestamp": "07/17/2022 13:34:54",
"content": "Yes",
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"timestamp": "07/17/2022 13:35:00",
"content": "Now the next set?",
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"timestamp": "07/17/2022 13:35:06",
"content": "x-3?",
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"timestamp": "07/17/2022 13:35:08",
"content": "No",
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"content": "This is why I presented this example\n> For example, (2x + 3)^2, I know that the highest term is (2x)^2 because if you expand it, it'll be (2x + 3)(2x + 3), so (2x)(2x) is the highest term",
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"timestamp": "07/17/2022 13:35:43",
"content": "Leading term is the one with the highest degree of x",
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"timestamp": "07/17/2022 13:36:23",
"content": "You take the term with the highest power of x, in the parentheses first, then rise it to that power that's on the outside",
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"timestamp": "07/17/2022 13:36:59",
"content": "This is the answer to homework",
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"timestamp": "07/17/2022 13:37:06",
"content": "4 intercepts in this",
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"timestamp": "07/17/2022 13:37:11",
"content": "and the leading term is",
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"timestamp": "07/17/2022 13:37:16",
"content": "no answer given",
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"timestamp": "07/17/2022 13:37:26",
"content": "if they had given me an answer I might be able to reverse engineer it",
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"timestamp": "07/17/2022 13:37:31",
"content": "I am sorry I don't understand you guys",
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"timestamp": "07/17/2022 13:37:41",
"content": "can you give me the answer maybe I can reverse engineer from there?",
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"timestamp": "07/17/2022 13:37:45",
"content": "And I'm showing you how to not reverse engineer it",
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"timestamp": "07/17/2022 13:37:51",
"content": "No",
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"timestamp": "07/17/2022 13:37:55",
"content": "but with the actual answer please?",
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"timestamp": "07/17/2022 13:38:00",
"content": "i'm really not understanding it, sorry",
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"timestamp": "07/17/2022 13:38:04",
"content": "but maybe with answer i might",
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"timestamp": "07/17/2022 13:38:17",
"content": "As I asked, what's the leading term for (x - 3)^4?",
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"author_name": "dldh06",
"timestamp": "07/17/2022 13:38:26",
"content": "> You take the term with the highest power of x, in the parentheses first, then rise it to that power that's on the outside",
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"timestamp": "07/17/2022 13:38:32",
"content": "Apply that",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:38:33",
"content": "and I told you what I thought it might be but I'm wrong",
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"author_name": "Diesel",
"timestamp": "07/17/2022 13:38:49",
"content": "If you really want to engineer the hard way you can expand the whole function and see for yourself",
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"timestamp": "07/17/2022 13:39:06",
"content": "And then I gave you a different method to find the leading term",
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"timestamp": "07/17/2022 13:39:10",
"content": "This",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:40:54",
"content": "https://tenor.com/view/brain-cells-gif-22812425",
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"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/17/2022 13:41:56",
"content": "Memes go in #chill",
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"author_name": "% Openglobe %",
"timestamp": "07/17/2022 13:42:05",
"content": "Not trying to mini mod",
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"timestamp": "07/17/2022 13:42:09",
"content": "You can watch this, I think it's good\nhttps://www.youtube.com/watch?v=7S6nIGFvzW0&ab_channel=AllThingsMathematics\nIt does leading coefficient, for the leading term, you just need to add in the variable",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:42:26",
"content": "Thanks 🙂",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:44:18",
"content": "Yes, this is perfect. Finally I understand by seeing now. Sorry, on chat it's rreally hard to understand may be mental barrier for me, video tends to do the trick when I am learning math",
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"timestamp": "07/17/2022 13:44:51",
"content": "So, now you have a better understanding, what's the leading term for (x - 3)^4?",
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"timestamp": "07/17/2022 13:45:03",
"content": "I think so",
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"timestamp": "07/17/2022 13:46:36",
"content": "the leading term is (-3)(1)(5)(2)(-1)",
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"timestamp": "07/17/2022 13:46:53",
"content": "30?",
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"timestamp": "07/17/2022 13:48:01",
"content": "One, that's the leading coefficient, not leading term, where the leading term also has the variable\nTwo, not quite, because you need to involve the exponents too",
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"timestamp": "07/17/2022 13:48:33",
"content": "Oh I just made it to that part in the vide, exponents need to be added",
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"timestamp": "07/17/2022 13:48:37",
"content": "OK..",
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"timestamp": "07/17/2022 13:51:17",
"content": "Surround that text in ``",
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"timestamp": "07/17/2022 13:51:23",
"content": "So it looks like `this`",
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"timestamp": "07/17/2022 13:51:32",
"content": "\\`this\\`",
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"timestamp": "07/17/2022 13:52:10",
"content": "Example text so it looks like above",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:52:13",
"content": "`(-3)(1*1*1*1)(5)(2*2*2)(-1*-1)`",
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"timestamp": "07/17/2022 13:52:48",
"content": "Better but as I stated, the leading term also has the variable",
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"author_name": "dldh06",
"timestamp": "07/17/2022 13:53:16",
"content": "So for the 1 * 1 * 1 * 1, the leading term is not 1, it's 1x",
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"timestamp": "07/17/2022 13:53:23",
"content": "Ah OK",
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"author_name": "dldh06",
"timestamp": "07/17/2022 13:53:42",
"content": "So you need to adjust it and have the variables",
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"timestamp": "07/17/2022 13:54:11",
"content": "Because you just did the leading coefficient",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:54:48",
"content": "`(-3)(x*x*x*x)(5x)(2x*2x*2x)(-x*-x)`",
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"timestamp": "07/17/2022 13:54:56",
"content": "Yes",
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"timestamp": "07/17/2022 13:54:59",
"content": "OK",
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"timestamp": "07/17/2022 13:55:10",
"content": "Now, just multiply that all together",
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"timestamp": "07/17/2022 13:55:17",
"content": "And that's the leading term",
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"author_name": "avidrunner",
"timestamp": "07/17/2022 13:58:31",
"content": "-120x^10?",
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"timestamp": "07/17/2022 13:58:37",
"content": "Yes",
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"timestamp": "07/17/2022 13:58:39",
"content": "That's it",
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"timestamp": "07/17/2022 13:58:44",
"content": "That's the leading term",
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"content": "https://tenor.com/view/mission-accomplished-gif-9140868",
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"timestamp": "07/17/2022 13:59:47",
"content": "Thank you",
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"content": ".close",
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] |
help-9
|
510a047ef34447a7974a596a9c9b0a14
|
197,210 |
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"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 14:56:01",
"content": "Available help channel!",
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"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/17/2022 15:14:11",
"content": "from what i would believe is i graph both functions (A,S) to find where they intersect creating that concentration. both both graphs start and conjoin in the negatives so i am lost",
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"author_name": "wumpus",
"timestamp": "07/17/2022 15:15:42",
"content": "note the last part",
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"id": 998307098167353500,
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"author_name": "wumpus",
"timestamp": "07/17/2022 15:15:59",
"content": "C = concentration of salt to liters of water",
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"timestamp": "07/17/2022 15:16:16",
"content": "so you just take the function C(t) and set it equal to 0.0625",
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"timestamp": "07/17/2022 15:16:19",
"content": "And solve",
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"timestamp": "07/17/2022 15:16:55",
"content": "that would make sense, thank you very much!",
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"content": ".close",
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"content": "Channel closed",
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help-9
|
168147a3fbca421dbd03dfadc3855d0f
|
197,211 |
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"author_name": "wumpus",
"timestamp": "07/17/2022 15:17:54",
"content": "@Rustty™ t = 10/3 just make sure you get that",
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"timestamp": "07/17/2022 15:18:07",
"content": "much appreciated",
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"content": ".close",
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"author_name": "lil.flack0o",
"timestamp": "07/17/2022 15:38:41",
"content": "wat have u tried",
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"content": "Don’t even know how to start",
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"author_name": "lil.flack0o",
"timestamp": "07/17/2022 15:39:10",
"content": "u know what zeroes are?",
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"timestamp": "07/17/2022 15:39:15",
"content": "No",
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"timestamp": "07/17/2022 15:39:34",
"content": "do u know the idea of factorization?",
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"content": "Yes",
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"timestamp": "07/17/2022 15:39:48",
"content": "zeroes are your roots of the equation",
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"timestamp": "07/17/2022 15:40:02",
"content": "^",
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"timestamp": "07/17/2022 15:40:05",
"content": "this is good to start",
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"timestamp": "07/17/2022 15:40:06",
"content": "with",
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"timestamp": "07/17/2022 15:40:09",
"content": "so if you have zeroes -2 and 6, that means that",
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"timestamp": "07/17/2022 15:40:17",
"content": "y=0 when x=-2, and y=0 when x=6",
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"content": "Ohhh",
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"timestamp": "07/17/2022 15:40:38",
"content": "in terms of a function, that means that x+2 and x-6 are factors",
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"timestamp": "07/17/2022 15:41:17",
"content": "How will I know when it passes through 1,4",
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"timestamp": "07/17/2022 15:42:01",
"content": "you can create your starter function with your roots",
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"content": "so (x+2)(x-6)",
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"timestamp": "07/17/2022 15:42:21",
"content": "and then add in a constant which will become part of your intercept and plug in your given coordinates",
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"content": "If you add a constant the roots change though, am I right?",
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"content": "You should probably multiply by a constant",
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"content": "yes ^",
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"timestamp": "07/17/2022 15:43:32",
"content": "add in was a bit ambiguous",
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"timestamp": "07/17/2022 15:44:04",
"content": "Choose any constant?",
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"timestamp": "07/17/2022 15:45:00",
"content": "no",
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"timestamp": "07/17/2022 15:45:01",
"content": "No, write y=k(x+2)(x-6), plug in x and y (1, 4) and then solve for k",
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"content": "^",
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"author_name": "lil.flack0o",
"timestamp": "07/17/2022 15:46:15",
"content": "for these type of question j memorize that y=a(x+b)(x+c)",
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"timestamp": "07/17/2022 15:46:24",
"content": "X would be -4 and 1?",
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"content": "wdym",
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"timestamp": "07/17/2022 15:47:13",
"content": "x is -2 and -6",
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"timestamp": "07/17/2022 15:47:14",
"content": "The point is (1, 4), so you substitute every x with 1 and y with 4",
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"timestamp": "07/17/2022 15:47:30",
"content": "Ohhh",
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"timestamp": "07/17/2022 15:47:42",
"content": "4=k(1+2)(1-6)",
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"timestamp": "07/17/2022 15:48:18",
"content": "i don't mean to be annoying but if x is -4 and 1 then -4=1 so 0=1",
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"timestamp": "07/17/2022 15:48:19",
"content": "Is this the first step to write",
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"timestamp": "07/17/2022 15:48:49",
"content": "?",
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"timestamp": "07/17/2022 15:48:59",
"content": "what a troll",
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"timestamp": "07/17/2022 15:49:00",
"content": "HAHHA",
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"timestamp": "07/17/2022 15:49:07",
"content": "so is the universe rapidly expanding?",
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"timestamp": "07/17/2022 15:49:09",
"content": "i agree",
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"timestamp": "07/17/2022 15:49:10",
"content": "@giannis_money",
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"timestamp": "07/17/2022 15:49:21",
"content": "Yes, now solve for k",
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"timestamp": "07/17/2022 15:49:37",
"content": "I just substituted the values",
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"author_name": "lil.flack0o",
"timestamp": "07/17/2022 15:49:48",
"content": "when dealing with \"zeroes\" math tends to become ambiguous to say the least",
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"timestamp": "07/17/2022 15:49:57",
"content": "especially without context",
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"timestamp": "07/17/2022 15:50:01",
"content": "hence ur statement",
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"timestamp": "07/17/2022 15:50:02",
"content": "giannis",
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"author_name": "giannis_money",
"timestamp": "07/17/2022 15:50:31",
"content": "not really lol. my point was that the 'and' should be 'or'",
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"timestamp": "07/17/2022 15:52:13",
"content": "ic",
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"timestamp": "07/17/2022 15:52:30",
"content": "How do I finish this",
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"timestamp": "07/17/2022 15:52:45",
"content": "Solve for k",
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"timestamp": "07/17/2022 15:52:55",
"content": "Multiply the parentheses then divide",
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"timestamp": "07/17/2022 15:53:01",
"content": "It's a normal equation",
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"timestamp": "07/17/2022 15:53:34",
"content": "Sum the stuff inside the parentheses, then multiply",
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"timestamp": "07/17/2022 15:54:42",
"content": "4=k(-15)",
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"timestamp": "07/17/2022 15:55:16",
"content": "Yes, now divide both sides by -15 to isolate k",
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"timestamp": "07/17/2022 16:00:42",
"content": "-0.2 = k",
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"timestamp": "07/17/2022 16:01:26",
"content": "It should be k=-4/15",
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"timestamp": "07/17/2022 16:02:14",
"content": "-0.2666666667",
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"timestamp": "07/17/2022 16:02:36",
"content": "But you should not approximate, it's better to keep it as a fraction",
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"timestamp": "07/17/2022 16:05:38",
"content": "This is the same as 4=-15k",
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"timestamp": "07/17/2022 16:06:14",
"content": "So this is the answer?",
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"content": "",
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"timestamp": "07/17/2022 16:07:00",
"content": "? ur suppose to find a equation",
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"content": "That's the k you have to substitute in the original function which was y=k(x+2)(x-6)",
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"timestamp": "07/17/2022 16:07:04",
"content": "k is part of it",
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"timestamp": "07/17/2022 16:07:21",
"content": "not to be rude but have u learned this in class before?",
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"timestamp": "07/17/2022 16:07:38",
"content": "No I missed most of the unit",
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"timestamp": "07/17/2022 16:07:57",
"content": "i see",
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"timestamp": "07/17/2022 16:08:03",
"content": "do u know what a \"equation\" mean",
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"timestamp": "07/17/2022 16:08:12",
"content": "or a \"quadratic function\"",
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"timestamp": "07/17/2022 16:08:22",
"content": "4=0.2(1+4)(1-6)?",
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"timestamp": "07/17/2022 16:08:25",
"content": "Yes",
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"timestamp": "07/17/2022 16:08:32",
"content": "Use -4/15, not 0.2",
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"timestamp": "07/17/2022 16:08:40",
"content": "0.2 is just an approximation",
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"timestamp": "07/17/2022 16:08:54",
"content": "And you don't have to substitute x and y",
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"timestamp": "07/17/2022 16:09:18",
"content": "Since you need to give a function as an answer",
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"timestamp": "07/17/2022 16:09:39",
"content": "Only substitute the k?",
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"timestamp": "07/17/2022 16:09:43",
"content": "Yes",
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},
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"id": 998320743567851600,
"author_id": 998072644886868000,
"author_name": "777777",
"timestamp": "07/17/2022 16:10:13",
"content": "y=-4/15(x+2)(x-6)",
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},
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"id": 998320767618003100,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "07/17/2022 16:10:18",
"content": "Correct",
"attachments": [],
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},
{
"id": 998320798681006100,
"author_id": 998072644886868000,
"author_name": "777777",
"timestamp": "07/17/2022 16:10:26",
"content": "Would that be the answer",
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},
{
"id": 998320830503194600,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "07/17/2022 16:10:33",
"content": "Yes",
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},
{
"id": 998320866834251900,
"author_id": 998072644886868000,
"author_name": "777777",
"timestamp": "07/17/2022 16:10:42",
"content": "Ok thank you so much",
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},
{
"id": 998320892612444200,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "07/17/2022 16:10:48",
"content": "Yw",
"attachments": [],
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},
{
"id": 998324642630602900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 16:25:42",
"content": "@777777 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 16:40:42",
"content": "Channel closed",
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}
] |
help-9
|
554101fcd8794811af185e2654ece1a8
|
197,212 |
[
{
"id": 998328671637098500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 16:41:43",
"content": "Available help channel!",
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},
{
"id": 998329627485409300,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 16:45:31",
"content": "I want to understand Spherical coordinate systems and how it works",
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},
{
"id": 998329629586772100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 16:45:31",
"content": "Pinned a message.",
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{
"id": 998331187355459700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 16:51:43",
"content": "Is there any part of it you already understand?",
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},
{
"id": 998333344901243000,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:00:17",
"content": "um not really on the math",
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},
{
"id": 998333656043106300,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:01:31",
"content": "I want to understand how to get (r,0,p)/(x,y,z)",
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"id": 998335706135011500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:09:40",
"content": "Imagine a cuboid where there are opposite vertices on the origin and crossed point (call it P). What are the dimensions of this cuboid?",
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"id": 998335887614148700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:10:23",
"content": "Remember that ||the cartesian coordinates of P are (x,y,z)||",
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},
{
"id": 998336185036443600,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:11:34",
"content": "(r,r,r)?",
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},
{
"id": 998336312077729800,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:12:04",
"content": "would be the dimentions?",
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},
{
"id": 998336501861580800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:12:50",
"content": "Nope",
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},
{
"id": 998336580488011900,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:13:08",
"content": "um",
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},
{
"id": 998336903713656800,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:14:26",
"content": "do you mean opposite horizontally, vertically, or diagionaly",
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},
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"id": 998337129816010900,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:15:19",
"content": "All of them",
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},
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"id": 998337240059097100,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:15:46",
"content": "Like on the other side of the cuboid",
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},
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"id": 998337273047298000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:15:54",
"content": "As opposite as possible",
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},
{
"id": 998337735645479000,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:17:44",
"content": "ohh",
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},
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"id": 998338143478616200,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:19:21",
"content": "then r / (square root of 2)",
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},
{
"id": 998338205285892100,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:19:36",
"content": "would be the side lengths?",
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},
{
"id": 998338510769619100,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:20:49",
"content": "Sorry I gtg soon, I'll let someone else continue",
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},
{
"id": 998338527454576600,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:20:53",
"content": "ok",
"attachments": [],
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},
{
"id": 998338533314011100,
"author_id": 978773153574686800,
"author_name": "Linda's Grave",
"timestamp": "07/17/2022 17:20:54",
"content": "np",
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},
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"id": 998338614805147800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/17/2022 17:21:14",
"content": "But not quite... maybe ur assuming theta = 45 degrees?",
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"timestamp": "07/17/2022 17:35:54",
"content": "@Linda's Grave Has your question been resolved?",
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"timestamp": "07/17/2022 18:13:28",
"content": "@Linda's Grave Has your question been resolved?",
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"timestamp": "07/17/2022 19:19:28",
"content": "@Linda's Grave Has your question been resolved?",
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"timestamp": "07/17/2022 19:19:41",
"content": "Channel closed",
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}
] |
help-9
|
2a15ac55152942ecb3184154e9620e04
|
197,213 |
[
{
"id": 998368677336453200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 19:20:41",
"content": "Available help channel!",
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},
{
"id": 998372889239765100,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:37:25",
"content": "would anyone be able to help me with the transformations and questions after that",
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"content": "Pinned a message.",
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"author_name": "talia",
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"id": 998372995242393700,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:37:50",
"content": "this is the work ive done, not sure if it is right",
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"id": 998373683250856100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 19:40:34",
"content": "which part?",
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},
{
"id": 998374053582737400,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:42:03",
"content": "the transformations",
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},
{
"id": 998374149372260400,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:42:26",
"content": "so (iii)",
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},
{
"id": 998374328796197000,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:43:08",
"content": "and then if my new points for g(x) are correct",
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},
{
"id": 998375099939950700,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 19:46:12",
"content": "okay so do you you know what the base function is",
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},
{
"id": 998375156089098400,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 19:46:26",
"content": "the function that the transformations are applied to",
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},
{
"id": 998375245708804200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 19:46:47",
"content": "Part i, fyi",
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"id": 998375336205091000,
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"author_name": "ethan",
"timestamp": "07/17/2022 19:47:09",
"content": "ah got it",
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"id": 998375430241402900,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 19:47:31",
"content": "next step is knowing the order of transformations, which are applied first",
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},
{
"id": 998375484591194100,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 19:47:44",
"content": "that can help to see how the base function turns into the final function",
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"id": 998375664841400400,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:48:27",
"content": "yeah but im not sure if i did my transformation right",
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"id": 998375740594724900,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:48:45",
"content": "can you confirm if i did? or like what it should be if it is wrong",
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},
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"id": 998376027036328000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/17/2022 19:49:53",
"content": "Looks good",
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},
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"id": 998376829675110400,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:53:05",
"content": "okay and based off the equation does my math for the new coords make sense aswell?",
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},
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"id": 998377332739944600,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:55:05",
"content": "oh and last thing is where i stated the original equation using function notation correct?",
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"id": 998377839390884000,
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"timestamp": "07/17/2022 19:57:05",
"content": "looks correct",
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"author_name": "talia",
"timestamp": "07/17/2022 19:58:47",
"content": "alright thank you",
"attachments": [],
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},
{
"id": 998378315746377900,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 19:58:59",
"content": "same with this?",
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},
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"id": 998378872447979600,
"author_id": 503307840560037900,
"author_name": "ethan",
"timestamp": "07/17/2022 20:01:12",
"content": "I'm a bit rusty with function notation so I'll wait for someone else",
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},
{
"id": 998379551522570200,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 20:03:54",
"content": "ok ok",
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},
{
"id": 998379814467665900,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/17/2022 20:04:56",
"content": "i changed it a bit cause i was comparing and now i have it as",
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"timestamp": "07/17/2022 20:19:59",
"content": "@talia Has your question been resolved?",
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"timestamp": "07/17/2022 20:20:27",
"content": "Channel closed",
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] |
help-9
|
8c3824ec2dfa4a67a65ab278c22bb558
|
197,214 |
[
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},
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"id": 998420003592360100,
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"content": "Pinned a message.",
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"id": 998420025474039800,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:44:43",
"content": "i need to find the six other trig values",
"attachments": [],
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"reference": null
},
{
"id": 998420083745501300,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:44:57",
"content": "sin, cos, tan, csc, sec, cot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998420140590903300,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:45:11",
"content": "i did taht but i keep getting different answer from the answer key/online sources so can someone explain",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998420261210693600,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:45:40",
"content": "and the reason that the answers are different is because of the signs, not the numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998420326453084300,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:45:55",
"content": "for example, my sec is positive but the answer key has it as negative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421128374649000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/17/2022 22:49:06",
"content": "sec(5pi/3) is indeed positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421277763186700,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:49:42",
"content": "is tangent positive?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421344851079300,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:49:58",
"content": "if its negative, then i can confirm that both answer sources i found are wrong lol",
"attachments": [],
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"reference": null
},
{
"id": 998421503383191600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/17/2022 22:50:36",
"content": "tan will be neg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421529438191900,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:50:42",
"content": "Okay, tysm",
"attachments": [],
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"reference": null
},
{
"id": 998421539781365900,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:50:44",
"content": "❤️",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421554985705500,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "07/17/2022 22:50:48",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998421556587929600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 22:50:48",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
78661a2623aa4821866f25417c44e63f
|
197,215 |
[
{
"id": 955575707256377300,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "03/21/2022 17:16:42",
"content": "okay I think I get it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955575712536998000,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "03/21/2022 17:16:43",
"content": "thank you!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955575958964936700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 17:17:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578195262980200,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:26:35",
"content": "Hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578196982661100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 17:26:35",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 955578195262980200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 955578227768840200,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:26:43",
"content": "",
"attachments": [
{
"id": 955578226879643600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/955578226879643668/Screen_Shot_2022-03-21_at_5.25.54_PM.png",
"fileName": "Screen_Shot_2022-03-21_at_5.25.54_PM.png",
"fileSizeBytes": 123088
}
],
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},
{
"id": 955578255652581400,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:26:49",
"content": "where did the +1 come from?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578280319267000,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:26:55",
"content": "how did +4 change to +1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578347285532700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/21/2022 17:27:11",
"content": "4 / 4 = 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578389941612500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/21/2022 17:27:21",
"content": "12 / 4 = 3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955578498695700500,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:27:47",
"content": "why did we divide by 4 on the left side? We just divide by 4 on the right side",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955579031309414400,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:29:54",
"content": "actually I could've just subtracted then divided",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955579043569369100,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:29:57",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955579052566118400,
"author_id": 483692993845657600,
"author_name": "The guy who asked",
"timestamp": "03/21/2022 17:29:59",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955579054025748500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 17:30:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
487b6bca0c314de69c76422dd6fd1e5e
|
197,216 |
[
{
"id": 958936545665122300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 23:51:28",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958938094537691100,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/30/2022 23:57:37",
"content": "why is question 4 256?",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/958938092406988820/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 57900
}
],
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},
{
"id": 958938096701948000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 23:57:38",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 958938094537691100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 958939103884349400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:01:38",
"content": "Do you know what \"n choose k\" means?",
"attachments": [],
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"reference": null
},
{
"id": 958939169353257000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:01:54",
"content": "@Sparrow",
"attachments": [],
"mentions": [
{
"id": 135549803177312260,
"name": "Sparrow",
"discriminator": "8323",
"nickname": "Sparrow",
"isBot": false
}
],
"reference": null
},
{
"id": 958939389474508800,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:02:46",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958939594689245200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:03:35",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958939804010160100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:04:25",
"content": "Then it should be self explanatory",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958939992925802500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:05:10",
"content": ",w sum_(k=0)^5 (10 choose 2k)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958939999859007500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/31/2022 00:05:12",
"content": "Results provided by WolframAlpha",
"attachments": [],
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"reference": null
},
{
"id": 958940146940670000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:05:47",
"content": "9 not 10",
"attachments": [],
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},
{
"id": 958940179010293800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:05:54",
"content": "Oh right",
"attachments": [],
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"reference": null
},
{
"id": 958940209851035600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:06:02",
"content": "I thought there was a 0 in there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958940260224622600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:06:14",
"content": "Neat how thats exactly double though isn't it?",
"attachments": [],
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},
{
"id": 958940262753792000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:06:14",
"content": "ΣC(n,2k)=(1/2)(ΣC(n,j))=2^(n-1)",
"attachments": [],
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"reference": null
},
{
"id": 958940327778086900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:06:30",
"content": "Woah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958940371377852400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:06:40",
"content": "What about the odd sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958940400792502300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:06:47",
"content": "Equal",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958940417964015600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:06:51",
"content": "Is there a pattern there",
"attachments": [],
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"reference": null
},
{
"id": 958940666883350500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:07:51",
"content": "When n is odd",
"attachments": [],
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"reference": null
},
{
"id": 958940704296546300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:08:00",
"content": "C(n,k)=C(n,n-k)",
"attachments": [],
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"reference": null
},
{
"id": 958940707777822700,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:08:00",
"content": "im not really getting the k here is my problem i guess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958940742707974100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:08:09",
"content": "k is even iff n-k is odd",
"attachments": [],
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"reference": null
},
{
"id": 958940804980830200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:08:24",
"content": "So odd sum=even sum =(1/2) total sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958941010518499300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:09:13",
"content": "Damn ok",
"attachments": [],
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},
{
"id": 958941087924375600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:09:31",
"content": "Oh right",
"attachments": [],
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},
{
"id": 958941127904469100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:09:41",
"content": "The sum of the nth row is 2^n !",
"attachments": [],
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},
{
"id": 958941815812264000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:12:25",
"content": "Oh it holds for even n too",
"attachments": [],
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},
{
"id": 958941980308697100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:13:04",
"content": "We just use (1+x)^n=ΣC(n,k)x^k and (1-x)^n=ΣC(n,k)(-1)^kx^k",
"attachments": [],
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},
{
"id": 958942096725782500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:13:32",
"content": "Add together we have that (1+x)^n+(1-x)^n=2ΣC(n,2k)x^2k",
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},
{
"id": 958942128677986300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:13:39",
"content": "Then we plug in x=1",
"attachments": [],
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},
{
"id": 958942200794845200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:13:56",
"content": "We obtain that odd sum =even sum =(1/2) total sum=2^(n-1)",
"attachments": [],
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"reference": null
},
{
"id": 958942241823543300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:14:06",
"content": "Yes!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958942319556558800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:14:25",
"content": "There are too many patterns to list in the triangle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958942483109249000,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:15:04",
"content": "i feel like im missing something D:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958942557851779100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:15:22",
"content": "If it’s not 2, but 3 or other integers we have to use root of unity",
"attachments": [],
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"reference": null
},
{
"id": 958942699086557300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/31/2022 00:15:55",
"content": "Like calculating ΣC(n,3k) we need to plug in x=(-1/2)+(sqrt(-3)/2) something like that",
"attachments": [],
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"reference": null
},
{
"id": 958942957233385500,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:16:57",
"content": "im just gonna leave it at this im not understanding what you guys are talking about D:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958942999327412200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:17:07",
"content": "Ok lets walk through it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958943043057242100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:17:17",
"content": "Can you tell me what an even number is?",
"attachments": [],
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"reference": null
},
{
"id": 958943083767152600,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:17:27",
"content": "2k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958943158933274600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:17:45",
"content": "Sure! For what values of k?",
"attachments": [],
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},
{
"id": 958943288642117800,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:18:16",
"content": "2, 4, 6, 8?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958943351346974700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:18:31",
"content": "Not quite",
"attachments": [],
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"reference": null
},
{
"id": 958943396628668400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:18:42",
"content": "In combinatorics, we use 0 as well",
"attachments": [],
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"reference": null
},
{
"id": 958943443114143900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:18:53",
"content": "Because the binomial formulas need 0",
"attachments": [],
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"reference": null
},
{
"id": 958943679354134500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:19:49",
"content": "So we have the even numbers:\n0 2 4 6 8",
"attachments": [],
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},
{
"id": 958943713625772200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:19:57",
"content": "And we have 9 elements in our set",
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"id": 958943781615448000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:20:13",
"content": "@Sparrow",
"attachments": [],
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"id": 958943799713886200,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:20:18",
"content": "yeah",
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},
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"id": 958943975576846300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:21:00",
"content": "Right.",
"attachments": [],
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"id": 958943999123656700,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:21:05",
"content": "is the 0 in all binomials?",
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"id": 958944053498626200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:21:18",
"content": "Yeah you have to include 0",
"attachments": [],
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"id": 958944113099677700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:21:32",
"content": "Otherwise shit just gets ugly",
"attachments": [],
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},
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"id": 958944228564668400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:22:00",
"content": "And for the record 0^0 = 1. Anyone who tells you otherwise is a crank",
"attachments": [],
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},
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"id": 958944253931827200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:22:06",
"content": "As is 0!",
"attachments": [],
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},
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"id": 958944335527813100,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:22:25",
"content": "okay",
"attachments": [],
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},
{
"id": 958944462850121700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 00:22:56",
"content": "All clear now?",
"attachments": [],
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"id": 958944493992833200,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:23:03",
"content": "yeah",
"attachments": [],
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"id": 958944729716916200,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:23:59",
"content": "thank you",
"attachments": [],
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},
{
"id": 958944745906925600,
"author_id": 135549803177312260,
"author_name": "Sparrow",
"timestamp": "03/31/2022 00:24:03",
"content": ".close",
"attachments": [],
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},
{
"id": 958944747282645000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 00:24:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5734542cc9af446db59098d5523a91dd
|
197,217 |
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{
"id": 998422535286833200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 22:54:42",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 998423571472855200,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 22:58:49",
"content": "The phase shift of the function y =sin(2\nθ+180) is X degrees.\nhow do I evaluate",
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"author_name": "Mathematics Bot",
"timestamp": "07/17/2022 22:58:50",
"content": "Pinned a message.",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:05:30",
"content": "question 2 sinusoidal function y = sin x has a period of 720 ̊,\namplitude of 5 units, has been vertically reflected, and vertically shifted –7 units.",
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},
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"id": 998425311244976300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:05:44",
"content": "determine equation",
"attachments": [],
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},
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"id": 998426796653559900,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:11:38",
"content": "Graphing your function should help.\n\nAlso, vertical shifting by -7 units is usually done by just adding (-7) to the original equation.\n\nAlso, y = sin x doesn't have a period of 4pi (720 degrees), it has of 2pi (360 degrees.) You probably mean y = sin (x/2).\n\nAs the amplitude of 5 units, the function takes value\n\ny = 5sin (x/2) - 7.\n\nbut it's not there yet. The function is vertically reflected. So, I'll assume the part which was negative initially is now positive and vice versa.\n\nthis is done by putting the sin part as negative.\n\nSo, if I'm not horribly wrong anywhere, \n\nyour equation should be y = - 5sin (x/2) - 7",
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{
"id": 998426921480233100,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:12:07",
"content": "Just check it through a graphing calculator, or wait for someone else to confirm. Take my answer with a grain of salt, I'm prone to mistakes.",
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},
{
"id": 998427071011360900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:12:43",
"content": "Its perfect thanks for the clarification",
"attachments": [],
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},
{
"id": 998427109410218000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:12:52",
"content": "The phase shift of the function y =sin(2\nθ+180) is X degrees.\nhow do I evaluate",
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},
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"id": 998427412599677000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:14:05",
"content": "@rikusp2002 your incredible I actually understood very well",
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"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:14:20",
"content": "I'm glad.",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:14:38",
"content": "are u able to help me with this following questions",
"attachments": [],
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},
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"id": 998427577595207800,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:14:44",
"content": "This question I actually don't understand what it asks for to be honest, I'll wait for others.",
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"id": 998427657039511700,
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:15:03",
"content": "ok in the meantime",
"attachments": [],
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},
{
"id": 998427721040400500,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:15:18",
"content": "Oh my god see I did a mistake",
"attachments": [],
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},
{
"id": 998427729550647300,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:15:20",
"content": "lemme update",
"attachments": [],
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},
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"id": 998427733132583000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:15:21",
"content": "can you help me with another question I had trouble with",
"attachments": [],
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"id": 998427796042944600,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:15:36",
"content": "I forgot the 5 of the amplitude",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:15:43",
"content": "Yes sure, why not?",
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"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:15:56",
"content": "@Mkm_az Take note, I fixed it.",
"attachments": [],
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:16:12",
"content": "yes I actually inputted the -5",
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},
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"id": 998428049232113700,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:16:36",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/998428048422600705/Screen_Shot_2022-07-16_at_11.40.11_PM.png",
"fileName": "Screen_Shot_2022-07-16_at_11.40.11_PM.png",
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"id": 998428351041650700,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:17:48",
"content": "thanks",
"attachments": [],
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"id": 998428512870473900,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:18:27",
"content": "Good :D",
"attachments": [],
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"id": 998428527772844000,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:18:30",
"content": "so hmm.",
"attachments": [],
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},
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"id": 998428587461984300,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:18:45",
"content": "\"Do not solve the triangle\"",
"attachments": [],
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},
{
"id": 998428671838793900,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:19:05",
"content": "What do they mean by that?",
"attachments": [],
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},
{
"id": 998428798850699300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:19:35",
"content": "Im not sure to be honest",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998428913527164900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:20:02",
"content": "I was really confused when it came to this question",
"attachments": [],
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"id": 998429282151968800,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:21:30",
"content": "I'd have used two things to estimate - the side inequality, and then cosine rule to estimate.",
"attachments": [],
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},
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"id": 998429293896024200,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:21:33",
"content": "but",
"attachments": [],
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},
{
"id": 998429312640368600,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:21:38",
"content": "if that counts as solving",
"attachments": [],
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"reference": null
},
{
"id": 998429340314370000,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:21:44",
"content": "then I have zero idea how to proceed",
"attachments": [],
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"reference": null
},
{
"id": 998429752228577300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:23:22",
"content": "I guess the cosine rule should be implemented",
"attachments": [],
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"id": 998430424651010200,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:26:03",
"content": "Then we know one thing, if the 3rd side of the triangle is x,\n\nx + 25 > 30 which means x > 5.\n\nThe value of x must be a real number more than 5.\n\nnow, applying cosine rule\n\na^2 = b^2 + c^2 - 2bc cos A\n\n(30)^2 = (25)^2 + x^2 - 50x cos (42 degrees)",
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"id": 998430503252279400,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:26:21",
"content": "Check the quadratic for it's discriminant and tell me if it's even solvable for real values 😂",
"attachments": [],
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"id": 998430573502660600,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:26:38",
"content": "I'm not sure I haven't done it so that's why I'm asking you",
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},
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"id": 998430602762133500,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:26:45",
"content": "~~yeah I hate calculations~~",
"attachments": [],
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},
{
"id": 998430799005233200,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:27:32",
"content": "I dont know what it means by amount of possible triangles",
"attachments": [],
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},
{
"id": 998430919528562700,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:28:01",
"content": "How many triangles are there produced with these variables",
"attachments": [],
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"timestamp": "07/17/2022 23:28:57",
"content": "See, as it's a quadratic equation, only 2 values of x would be possible. Out of which some could be real, some could not be.\n\nCheck for real solutions. The number of real solutions is the number of possible triangles.",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:29:29",
"content": "so therefore there are two triangles",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:29:53",
"content": "Therefore 2 triangles",
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"id": 998431463357829200,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:30:10",
"content": "Is the discriminant > 0?",
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},
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"id": 998431476108509200,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:30:13",
"content": "ok",
"attachments": [],
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},
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"id": 998431499592421400,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:30:19",
"content": "check that first",
"attachments": [],
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},
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"id": 998431567254913000,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:30:35",
"content": "if the equation doesn't have even one real solution then there are 0 possible traingles",
"attachments": [],
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},
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"id": 998431569574379500,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:30:36",
"content": "lol",
"attachments": [],
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},
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"id": 998431685265854600,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:31:03",
"content": "did u check",
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"id": 998431688424177700,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:31:04",
"content": "even if the discriminant is greater than 0, then check if the solutions are greater than 5",
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"timestamp": "07/17/2022 23:31:07",
"content": "nope",
"attachments": [],
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"id": 998431776668135400,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:31:25",
"content": "because the rule of sum of two sides need to greater than the other says x > 5",
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"id": 998431897199857700,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:31:54",
"content": "because this I didn't check, sorry for making you do that 😂",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:32:04",
"content": "ok Im not able to find any other answer but the discriminate is equal to 0 for what I found at least",
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"timestamp": "07/17/2022 23:32:16",
"content": "EQUAL?",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:32:26",
"content": "omg, how, that's shocking",
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"timestamp": "07/17/2022 23:32:28",
"content": "oh not equal",
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"id": 998432060890939500,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:32:33",
"content": "oh",
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"id": 998432081770197100,
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:32:38",
"content": ">",
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"id": 998432088225230800,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:32:39",
"content": "this",
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"id": 998432101403738100,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:32:42",
"content": "yep",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:32:43",
"content": "okay",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:32:49",
"content": "sorry for the error",
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"id": 998432199063896000,
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:33:06",
"content": "now we need to solve through the equation to get the solutions and check how many of those two are greater than 5",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:33:10",
"content": "nono it's ok",
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"timestamp": "07/17/2022 23:33:19",
"content": "ok",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:33:30",
"content": "so were not done",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:33:45",
"content": "nope, still stuff can mess up 😂",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:33:51",
"content": "okok",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:33:52",
"content": "we can't just say 2 here",
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"timestamp": "07/17/2022 23:33:57",
"content": "ok",
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"timestamp": "07/17/2022 23:37:14",
"content": "I wasnt able to get the answer",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:38:36",
"content": "@rikusp2002 were u",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:38:57",
"content": "alright I'm checking it myself now",
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"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:39:01",
"content": "hmm",
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"id": 998433749584851000,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/17/2022 23:39:15",
"content": "do you mind if I use a calculator or you need to show what you did?",
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"id": 998434021753245800,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:40:20",
"content": "yes go ahead",
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"id": 998434090082631700,
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:40:37",
"content": "no it says dont solve",
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:45:42",
"content": "any results",
"attachments": [],
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"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:46:57",
"content": "@rikusp2002 are u still there",
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"timestamp": "07/17/2022 23:53:02",
"content": "@Helpers",
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"id": 998437280693883000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/17/2022 23:53:17",
"content": "I believe my helper left",
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"content": "@Mkm_az Has your question been resolved?",
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"timestamp": "07/18/2022 00:16:10",
"content": ".close",
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},
{
"id": 998443041457180700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 00:16:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a2f7f3bfed5c4c4e901e3418b783dd00
|
197,218 |
[
{
"id": 998443294394683400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 00:17:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998446566803247100,
"author_id": 396750338503213060,
"author_name": "LipeAma",
"timestamp": "07/18/2022 00:30:11",
"content": "So, I dont really understand what this means.\nAs far as i know, this is the same as\ntan( thetax ) = 2(r12 , r22)\n\nBut that doesn't make any sense, why would a tan() yield two values, separated by commas",
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"content": "Pinned a message.",
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"author_id": 396750338503213060,
"author_name": "LipeAma",
"timestamp": "07/18/2022 00:30:22",
"content": "I must be getting it wrong",
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{
"id": 998446755555315800,
"author_id": 545083775906873340,
"author_name": "Pa.Nic",
"timestamp": "07/18/2022 00:30:56",
"content": "atan2 is a separate function",
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"id": 998446848333316200,
"author_id": 545083775906873340,
"author_name": "Pa.Nic",
"timestamp": "07/18/2022 00:31:18",
"content": "atan(y/x) = atan2(y, x) when x is positive",
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"id": 998446910564204500,
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"author_name": "LipeAma",
"timestamp": "07/18/2022 00:31:33",
"content": "Ohh now it makes sense",
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},
{
"id": 998446917816160400,
"author_id": 396750338503213060,
"author_name": "LipeAma",
"timestamp": "07/18/2022 00:31:35",
"content": "Ty",
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},
{
"id": 998446931749650600,
"author_id": 545083775906873340,
"author_name": "Pa.Nic",
"timestamp": "07/18/2022 00:31:38",
"content": "https://en.wikipedia.org/wiki/Atan2",
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"author_name": "LipeAma",
"timestamp": "07/18/2022 00:31:59",
"content": ".close",
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"timestamp": "07/18/2022 00:31:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ca313abd91e24922a5b8ac2d54ea8ab6
|
197,219 |
[
{
"id": 998449093842047000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 00:40:14",
"content": "Available help channel!",
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},
{
"id": 998455242507169800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:04:40",
"content": "Hello",
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},
{
"id": 998455244730150900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 01:04:40",
"content": "Pinned a message.",
"attachments": [],
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"id": 998455272479666200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:04:47",
"content": "How would I get a common base",
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"id": 998455281648406700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:04:49",
"content": "from this",
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},
{
"id": 998455761015406600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/18/2022 01:06:43",
"content": "First step is to expand into 6^5x*6^2",
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"id": 998455919627214800,
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"author_name": "Fin",
"timestamp": "07/18/2022 01:07:21",
"content": "oki",
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"id": 998455999801335900,
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"author_name": "Deleted User",
"timestamp": "07/18/2022 01:07:40",
"content": "Can you do the rest?",
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"id": 998456047318618100,
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"author_name": "Fin",
"timestamp": "07/18/2022 01:07:52",
"content": "My question was about",
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"id": 998456061432438900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:07:55",
"content": "how to get a common base",
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{
"id": 998456164348080300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/18/2022 01:08:19",
"content": "Second step is divide both sides by 6^2",
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"timestamp": "07/18/2022 01:08:21",
"content": ":))",
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"id": 998456238692126800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:08:37",
"content": "oh",
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"content": ":))",
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"id": 998456336083849300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:09:00",
"content": ":thumbsUp:",
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"id": 998456504480976900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:09:41",
"content": "so that will be",
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"author_name": "Fin",
"timestamp": "07/18/2022 01:09:45",
"content": "5x=1/6^2",
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"id": 998456526341681300,
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"timestamp": "07/18/2022 01:09:46",
"content": "correct",
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"timestamp": "07/18/2022 01:10:03",
"content": "well",
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"timestamp": "07/18/2022 01:10:11",
"content": "6^5x=1/6^2",
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"timestamp": "07/18/2022 01:11:16",
"content": "hm",
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"author_name": "Fin",
"timestamp": "07/18/2022 01:11:20",
"content": "the answer is -2/5",
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"author_name": "Fin",
"timestamp": "07/18/2022 01:11:25",
"content": "did i do something wrong",
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"id": 998457054157086700,
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"timestamp": "07/18/2022 01:11:52",
"content": "5x=1/6^2 - this is wrong",
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"author_name": "Fin",
"timestamp": "07/18/2022 01:12:28",
"content": "ye",
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"timestamp": "07/18/2022 01:12:41",
"content": "6^5x=1/6^2 you should get here instead then you can simplify 1/6^2 into 6^(-2)",
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"timestamp": "07/18/2022 01:14:31",
"content": "oh tyy",
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"author_name": "Fin",
"timestamp": "07/18/2022 01:14:35",
"content": ":catthumbsup:",
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"timestamp": "07/18/2022 01:15:53",
"content": "got it now?",
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"timestamp": "07/18/2022 01:17:42",
"content": "yea",
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"content": "would this be correct",
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"content": "make the exponent base 3 instead of 9, gets rid of the fractions",
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"content": "@Deleted User is that a jett pfp I see",
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"content": "uhhhh no",
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"content": "yep it should be easier to solve now, give it a shot",
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"content": "also pre sure the exponent for the inverse of 243 should be -5/2",
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"content": "for which",
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"content": "the left one",
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"content": "idk who jett is so",
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"content": "$3^{-5y}=3^{-15y}(3)^{-4y}$",
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"content": "**ethan**",
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"content": "that should work",
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"content": "damn i gotta learn how to do that xd",
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"content": "very true",
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"content": "I mastered latex my first semester of uni I used it to take notes haha",
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"content": "damnn thats a flex",
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"content": "9 is too complicated",
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"content": "😭",
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"content": "going to 3",
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"content": "see if it works for ya",
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"content": "maybe when i have more free time, in kinda busy atm ahah\nstill got a while until i start uni anyway so i got time",
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"content": "yo",
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"timestamp": "07/18/2022 01:26:07",
"content": "so for the last one is",
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"content": "that",
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"content": "wait",
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"content": "nvm",
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"timestamp": "07/18/2022 01:26:17",
"content": "im dumb",
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"timestamp": "07/18/2022 01:26:31",
"content": "play valo with me then 💪💪",
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"content": "all set?",
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"timestamp": "07/18/2022 01:26:51",
"content": "what servers you play on?",
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"content": "nae/c",
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"content": "oh",
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"content": "im oce :p",
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"content": "oh nooo",
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"content": "y=0",
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"content": "you can probs help me with math instead this question im on is confusing me xd",
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"content": "is y=0 the only soln?",
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"content": "cause",
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"timestamp": "07/18/2022 01:28:11",
"content": "0 is 0 which also means that it can be 0 because according too 0 it's 0",
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"timestamp": "07/18/2022 01:28:28",
"content": "👍 sounds good",
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"content": "if that clarifies",
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"content": "yea",
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"id": 998461282611118100,
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"author_name": "Fin",
"timestamp": "07/18/2022 01:28:40",
"content": ":thumbsUp:",
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"content": "ty",
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"timestamp": "07/18/2022 01:28:48",
"content": "again",
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"content": "yep ofc!",
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"timestamp": "07/18/2022 01:28:55",
"content": ":catWave:",
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},
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"id": 998461367654826000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 01:29:00",
"content": ".close",
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},
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"timestamp": "07/18/2022 01:29:00",
"content": "Channel closed",
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}
] |
help-9
|
ae267ac9b6384712a7a2eca2b7d9e742
|
197,220 |
[
{
"id": 998464016831746000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 01:39:32",
"content": "Available help channel!",
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"reference": null
},
{
"id": 998469902820184000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:02:55",
"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 02:02:55",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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}
},
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"id": 998469936496259100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:03:03",
"content": "Hello, I need some help on dis",
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},
{
"id": 998473712573632500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 02:18:03",
"content": "@Fin Has your question been resolved?",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:19:07",
"content": "What have you tried",
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},
{
"id": 998474005034041500,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:13",
"content": "Hello",
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{
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},
{
"id": 998474018900422700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:16",
"content": "What I have tried so far",
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},
{
"id": 998474023342194800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:17",
"content": "was",
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},
{
"id": 998474070830108800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:29",
"content": "putting it in a graphic calculator",
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},
{
"id": 998474078816055300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:31",
"content": "but im slightly",
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},
{
"id": 998474085145251800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:19:32",
"content": "confused",
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},
{
"id": 998474113792364500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:19:39",
"content": "There's no need for that",
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},
{
"id": 998474169090060300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:19:52",
"content": "f^(-1)(x) and f(x) are inverse functions",
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},
{
"id": 998474257422110700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:20:13",
"content": "What do you know about how the x and y values relate for inverse functions?",
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},
{
"id": 998474877537361900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:22:41",
"content": "uhh",
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{
"id": 998474888916516900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:22:44",
"content": "i kinda forgot",
"attachments": [],
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},
{
"id": 998474957833109600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:23:00",
"content": "Well, let's say I gave you f(x). How would you find the inverse function?",
"attachments": [],
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},
{
"id": 998475196312846300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:23:57",
"content": "not sure",
"attachments": [],
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{
"id": 998475269717381200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:24:15",
"content": "You don't know how to find the inverse of a function?",
"attachments": [],
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},
{
"id": 998475363510390900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:24:37",
"content": "I used too",
"attachments": [],
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}
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},
{
"id": 998475370917544000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:24:39",
"content": "🤣",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998475407156314100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:24:47",
"content": "I just need like a quick",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998475412655063200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:24:49",
"content": "refresher",
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},
{
"id": 998475476383305700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:25:04",
"content": "So if I gave you y = 2x + 1, you couldn't find the inverse?",
"attachments": [],
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},
{
"id": 998475528430440400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:25:16",
"content": "no",
"attachments": [],
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},
{
"id": 998475615466430600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:25:37",
"content": "I would highly suggest reviewing inverse functions before proceeding further",
"attachments": [],
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},
{
"id": 998475644390342800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:25:44",
"content": "ok",
"attachments": [],
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},
{
"id": 998475651617136600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:25:46",
"content": "brb rq",
"attachments": [],
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},
{
"id": 998477069853937700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:31:24",
"content": "`x=1/2y+(-1/2)`",
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}
],
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},
{
"id": 998477181430812800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:31:50",
"content": "That's not in y = form",
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},
{
"id": 998477247277191300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:32:06",
"content": "o",
"attachments": [],
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}
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},
{
"id": 998477294131757000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:32:17",
"content": "You just wrote the same function rewritten. That's not the inverse",
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},
{
"id": 998477312662192100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:32:22",
"content": "this dude on khan academy scammed me",
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},
{
"id": 998477337542795300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:32:28",
"content": "Doubt it",
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},
{
"id": 998477390072258700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:32:40",
"content": "",
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"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:32:44",
"content": "Khan academy is a reputable source",
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},
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"id": 998477438432583700,
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"author_name": "Fin",
"timestamp": "07/18/2022 02:32:52",
"content": "ik i was joking",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:33:42",
"content": "Do you get the idea of the inverse, though? If a function maps a to b, then what does the inverse do?",
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},
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"id": 998477671543619600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:33:47",
"content": "`f-1(y)=1/2y+(-1/2)`",
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},
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"id": 998477829064892400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:34:25",
"content": "f^(-1)(x) = (1/2)x - (1/2). No need to be confusing by making y the independent variable",
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},
{
"id": 998477939853242500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:34:51",
"content": ".",
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},
{
"id": 998477989572522000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:35:03",
"content": "b to a",
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"id": 998478110448160800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:35:32",
"content": "Aka, if (a, b) is a point on a function, what point is on the inverse?",
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},
{
"id": 998478189909254100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:35:51",
"content": "the opposite",
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"id": 998478194447495200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:35:52",
"content": "right",
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},
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"id": 998478235870445700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:36:02",
"content": "(b, a), right",
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},
{
"id": 998478246196809700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:04",
"content": "yes",
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},
{
"id": 998478248948289500,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:05",
"content": "so",
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},
{
"id": 998478260348407800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:08",
"content": "my answer is",
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},
{
"id": 998478278992089100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:12",
"content": "B",
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},
{
"id": 998478308746477600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:19",
"content": "or option 2",
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},
{
"id": 998478315079876600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/18/2022 02:36:21",
"content": "Yes",
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},
{
"id": 998478333526417400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:25",
"content": "oh",
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},
{
"id": 998478337796223000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:26",
"content": "i get it",
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},
{
"id": 998478369207357400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:34",
"content": "I just needed a refresher on inverses",
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},
{
"id": 998478371711361200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:34",
"content": "ty",
"attachments": [],
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},
{
"id": 998478379747651600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:36:36",
"content": ":thumbsUp:",
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},
{
"id": 998478545175204000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/18/2022 02:37:16",
"content": ".close",
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},
{
"id": 998478547100373100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 02:37:16",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
1fd2c6afbb8f4fb9bfa9baabf47bd86b
|
197,221 |
[
{
"id": 998478799870120000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 02:38:16",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998488349230768300,
"author_id": 487886042247069700,
"author_name": "ƧƬΛПKY ΛƧƧ ᄃӨПVΣЯƬIBᄂΣ",
"timestamp": "07/18/2022 03:16:13",
"content": "How to go from the first line to the second one",
"attachments": [
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"timestamp": "07/18/2022 03:16:13",
"content": "Pinned a message.",
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}
},
{
"id": 998488527610318800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 03:16:56",
"content": "You multiply and divide by sqrt 2.",
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},
{
"id": 998488622695202800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 03:17:18",
"content": "After this, you use compund angle identity.",
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},
{
"id": 998488714613375100,
"author_id": 487886042247069700,
"author_name": "ƧƬΛПKY ΛƧƧ ᄃӨПVΣЯƬIBᄂΣ",
"timestamp": "07/18/2022 03:17:40",
"content": "💀💀💀",
"attachments": [],
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"reference": null
},
{
"id": 998488726579708000,
"author_id": 487886042247069700,
"author_name": "ƧƬΛПKY ΛƧƧ ᄃӨПVΣЯƬIBᄂΣ",
"timestamp": "07/18/2022 03:17:43",
"content": "Okok ty",
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},
{
"id": 998488788684783700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 03:17:58",
"content": "Yeah, nice.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 03:32:44",
"content": "@ƧƬΛПKY ΛƧƧ ᄃӨПVΣЯƬIBᄂΣ Has your question been resolved?",
"attachments": [],
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"id": 998492600581488800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 03:33:07",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
43cac95842df450fa4d5599c8cabdcac
|
197,222 |
[
{
"id": 998492853208621000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 03:34:07",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998498113536933900,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "07/18/2022 03:55:01",
"content": "may I know how they wrote the basis vectors like i,j, k in a matrix like that?",
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"content": "Pinned a message.",
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"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "07/18/2022 03:55:46",
"content": "I thought the matrix could only have number slike 1,2,3,0.1,...",
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},
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"id": 998498801939660800,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "07/18/2022 03:57:45",
"content": "or is it not supposed to represent a matrix exactly",
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"id": 998498837943566300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/18/2022 03:57:54",
"content": "yeah that",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/18/2022 03:58:04",
"content": "it's not meant to be taken seriously as a matrix",
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},
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"id": 998498918344163500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/18/2022 03:58:13",
"content": "it's just a computational shorthand",
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},
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"id": 998498940557197300,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "07/18/2022 03:58:18",
"content": "oh",
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"id": 998498994638573600,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "07/18/2022 03:58:31",
"content": "so like to write the entire thing in a neat way?",
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"content": "basically",
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"timestamp": "07/18/2022 04:15:01",
"content": "@theguy Has your question been resolved?",
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"timestamp": "07/18/2022 04:16:04",
"content": "Channel closed",
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}
] |
help-9
|
0ca16ae407b144ea8535cd671a76af00
|
197,223 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 05:07:34",
"content": "Available help channel!",
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},
{
"id": 998521043738185900,
"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:26:08",
"content": "can someone tell me how to solve this question ?",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:26:50",
"content": "What is 9^0?",
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"id": 998521229768143000,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:26:52",
"content": "Use the formula for the length of an arc",
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"id": 998521237837983700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/18/2022 05:26:54",
"content": "is that 9 degree or 9^0 (nvm)",
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},
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"id": 998521253293989900,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:26:58",
"content": "9 degrees",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:27:01",
"content": "oh lol",
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"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:27:01",
"content": "Not 9^0",
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"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:27:33",
"content": "s=r theta ?",
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"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:27:38",
"content": "or not this one",
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"id": 998521429790294000,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:27:40",
"content": "The formula is ((degrees)/360)*2pir",
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"id": 998521510450962400,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:27:59",
"content": "x˚/360 * 2πr",
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},
{
"id": 998521556244381800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:28:10",
"content": "So here we’d substitute 9 for degrees and 40 for r",
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"timestamp": "07/18/2022 05:28:16",
"content": "Yes",
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"author_name": "AirToastie",
"timestamp": "07/18/2022 05:28:18",
"content": "Or use ratios",
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"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:30:25",
"content": "Sorry i didn't understand can you explain ?",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:30:59",
"content": "?",
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"id": 998522330366099500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:31:15",
"content": "Wdym how can we explain",
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"author_name": "AirToastie",
"timestamp": "07/18/2022 05:31:31",
"content": "There is no further easier explanation than that",
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"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:32:03",
"content": "english isn't my first language what i meant is can you give me an example ?",
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"id": 998522554065092600,
"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:32:08",
"content": "not saying you didn't say it right",
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"id": 998522908181803000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:33:32",
"content": "It means to put 9 in x˚",
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"id": 998522930554216600,
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"author_name": "AirToastie",
"timestamp": "07/18/2022 05:33:38",
"content": "and put 40 in r",
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},
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"id": 998522952477855700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/18/2022 05:33:43",
"content": "substitute = put in",
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"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 05:33:57",
"content": "So it would become (9/360) * 40 * 2 * π",
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"timestamp": "07/18/2022 05:34:04",
"content": "Yes",
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"author_name": "! Sal7",
"timestamp": "07/18/2022 05:34:38",
"content": "alright i got it now thanks.",
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"id": 998523480846893200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/18/2022 05:35:49",
"content": "**Legolas**",
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"timestamp": "07/18/2022 05:35:56",
"content": "Nice",
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},
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"author_id": 321928109735673860,
"author_name": "! Sal7",
"timestamp": "07/18/2022 05:38:41",
"content": ".close",
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},
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"id": 998524204481781800,
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"author_name": "Mathematics Bot",
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}
] |
help-9
|
1150fb16beab40bb855a0a146932f58e
|
197,224 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 05:39:42",
"content": "Available help channel!",
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},
{
"id": 998533471758717000,
"author_id": 782579596008095700,
"author_name": "Who Am I?",
"timestamp": "07/18/2022 06:15:31",
"content": "I know about the Chain Rule of Differentiation. It is d/dx f(g(x)) = f'(g(x)). g'(x)\n\nHow to write the right side in d/dx format? I don't want to use this ➡️ ' symbol 😅",
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"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 06:30:31",
"content": "@Who Am I? Has your question been resolved?",
"attachments": [],
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{
"id": 998539805401034900,
"author_id": 782579596008095700,
"author_name": "Who Am I?",
"timestamp": "07/18/2022 06:40:41",
"content": "@Helpers",
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},
{
"id": 998540830342123600,
"author_id": 701351665596498000,
"author_name": "its me",
"timestamp": "07/18/2022 06:44:45",
"content": "if y=g(x) and z=f(y)\nThen dz/dx = (dz/dy) * (dy/dx)\n = f'(y) * g'(x)",
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"id": 998543470966870000,
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"author_name": "Who Am I?",
"timestamp": "07/18/2022 06:55:15",
"content": "Thanks a lot",
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"timestamp": "07/18/2022 06:55:19",
"content": ".close",
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"id": 998543490478788600,
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"content": "Channel closed",
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}
] |
help-9
|
7ac2e44de006461595861cc2599c2081
|
197,225 |
[
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"content": "Available help channel!",
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},
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"id": 998546937542357100,
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"author_name": "Aldredz",
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"content": "Pinned a message.",
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"timestamp": "07/18/2022 07:15:45",
"content": ",rccw",
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"author_name": "Tarek Ahmed",
"timestamp": "07/18/2022 07:17:28",
"content": "What do you need help in?",
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"timestamp": "07/18/2022 07:24:02",
"content": "@Aldredz Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
36b80483aaeb40d6a99fde0d78dfe012
|
197,226 |
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"content": "Available help channel!",
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"timestamp": "07/18/2022 07:43:03",
"content": "hello help pls!",
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"content": "Pinned a message.",
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"content": "can someone help me with b?",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:43:36",
"content": "Similar shapes, create a proportion",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:43:56",
"content": "Why is it 8/20",
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"timestamp": "07/18/2022 07:43:59",
"content": "Rather than 20/8",
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"timestamp": "07/18/2022 07:44:07",
"content": "Both works",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:44:24",
"content": "Can u show me the working?",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:44:29",
"content": "I need some help understanding",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:44:47",
"content": "No, I'm not doing your work for you",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:45:12",
"content": "Oh ok do u know how I need to format it to work it out?",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:45:19",
"content": "I keep getting 172",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:45:24",
"content": "And the answer is like 16",
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"timestamp": "07/18/2022 07:46:14",
"content": "This is what ive been doing",
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"timestamp": "07/18/2022 07:46:25",
"content": "The difference between 20/8 and 8/20, is the other fraction, for the proportion. Because 8 is from the small triangle, then the other side, that lines up with 8, should be the value from the small triangle too",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:47:06",
"content": "Because you didn't multiply by x",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:47:11",
"content": "It's 20x",
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"timestamp": "07/18/2022 07:47:17",
"content": "Not 20",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:47:58",
"content": "Oh yes",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:48:19",
"content": "And you didn't distribute properly either",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:48:30",
"content": "What do u mean by that?",
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"timestamp": "07/18/2022 07:48:32",
"content": "You only did 8 * 24",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:48:39",
"content": "But what about the x?",
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"author_name": "cumquat",
"timestamp": "07/18/2022 07:48:46",
"content": "Oh yes thank u",
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"author_name": "dldh06",
"timestamp": "07/18/2022 07:48:59",
"content": "For the part, 8(24 + x)",
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"timestamp": "07/18/2022 07:49:27",
"content": "Once you fix those mistakes, you should get the proper answer",
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"timestamp": "07/18/2022 07:50:15",
"content": "Tysm!",
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"timestamp": "07/18/2022 07:50:18",
"content": ".close",
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"id": 998557325755424900,
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"timestamp": "07/18/2022 07:50:18",
"content": "Channel closed",
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}
] |
help-9
|
e68a560d625e41e7bde28609dea11ec3
|
197,227 |
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 00:25:04",
"content": "Available help channel!",
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},
{
"id": 958948315683254300,
"author_id": 276872852546912260,
"author_name": "andrews",
"timestamp": "03/31/2022 00:38:14",
"content": "can someone help me get the possible poi for this function:",
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},
{
"id": 958948316916359200,
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"content": "Pinned a message.",
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"content": "its the bottom function of the image",
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"content": "@andrews Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
0bc067210b904ea79ed4a311e4135f20
|
197,228 |
[
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"timestamp": "07/18/2022 09:43:32",
"content": "Available help channel!",
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},
{
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"content": "Pinned a message.",
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"content": "@Ml Has your question been resolved?",
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] |
help-9
|
71ca835a08404b6caff708634e4a9d45
|
197,229 |
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{
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"timestamp": "07/18/2022 10:55:10",
"content": "Available help channel!",
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},
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"id": 998606405638566000,
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"timestamp": "07/18/2022 11:05:20",
"content": "@Helpers Can anyone help me with this exercise?",
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"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 11:05:30",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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{
"id": 998606669988778100,
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"content": "draw a right triangle with legs 1 and x",
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"timestamp": "07/18/2022 11:09:42",
"content": "@EndTimes Could you please show me the steps so that I can practice it?",
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"timestamp": "07/18/2022 11:10:21",
"content": "try solving for theta",
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"author_name": "Umbraleviathan",
"timestamp": "07/18/2022 11:15:56",
"content": "Tripgle",
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},
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"author_name": "FructosePear",
"timestamp": "07/18/2022 11:17:20",
"content": "okay so whats sin theta",
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"timestamp": "07/18/2022 11:18:29",
"content": "@EndTimes Idk I didn't manage to solve it. Please explain it to me step by step",
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"timestamp": "07/18/2022 11:19:00",
"content": "whats sin theta",
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"timestamp": "07/18/2022 11:19:18",
"content": "bro",
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"timestamp": "07/18/2022 11:21:36",
"content": "u mean the sin theta for the first one and then the tan theta for the second right?",
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"timestamp": "07/18/2022 11:23:35",
"content": "first find sin theta and then find tan theta",
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"timestamp": "07/18/2022 11:36:36",
"content": "@mo.sy Has your question been resolved?",
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"timestamp": "07/18/2022 11:38:25",
"content": "did u find sin theta and tan theta",
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"timestamp": "07/18/2022 11:39:47",
"content": "They're having a hard time reading a right triangle",
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"author_name": "mo.sy",
"timestamp": "07/18/2022 11:40:15",
"content": "sin u = x/√(1 + x²) right?",
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"timestamp": "07/18/2022 11:40:25",
"content": "tan u = 1/x ?",
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"timestamp": "07/18/2022 11:41:15",
"content": "nooooooooo",
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"content": "yes",
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"timestamp": "07/18/2022 11:41:40",
"content": "sin = opposite / hypotenuse",
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"timestamp": "07/18/2022 11:42:22",
"content": "yeah so it is 1/√(1 + x²)",
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"author_name": "FructosePear",
"timestamp": "07/18/2022 11:42:54",
"content": "ok",
"attachments": [],
"mentions": [],
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},
{
"id": 998615963098415100,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 11:43:18",
"content": "so whats the arcsin of that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998616729422942300,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "07/18/2022 11:46:21",
"content": "the arcsin of this 1/√(1 + x²) u mean?",
"attachments": [],
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"id": 998616753632460800,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 11:46:27",
"content": "yes",
"attachments": [],
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},
{
"id": 998617246962303100,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "07/18/2022 11:48:25",
"content": "idk how to continue?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998617483957248000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 11:49:21",
"content": "what did you take the sine of to get that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998618271513321500,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "07/18/2022 11:52:29",
"content": "okey i see so first find sin and then cos in order to find tan right?",
"attachments": [],
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},
{
"id": 998618323463962600,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "07/18/2022 11:52:41",
"content": "but how to determine c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998624496590258200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 12:17:13",
"content": "later",
"attachments": [],
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{
"id": 998624596335014000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 12:17:37",
"content": "answer this",
"attachments": [],
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},
{
"id": 998624660272984300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 12:17:52",
"content": "what did you take the sine of to get 1/sqrt(1+x^2)",
"attachments": [],
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},
{
"id": 998627177882980500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 12:27:52",
"content": "@mo.sy Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 12:31:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fe4a42c450f541dc9300244a815ef62f
|
197,230 |
[
{
"id": 998628352225202300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 12:32:32",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998628728508788700,
"author_id": 289495757558513660,
"author_name": "NBTON | عمر",
"timestamp": "07/18/2022 12:34:02",
"content": "",
"attachments": [
{
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"fileName": "unknown.png",
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{
"id": 998628730593349800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 12:34:02",
"content": "Pinned a message.",
"attachments": [],
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}
},
{
"id": 998628854337896600,
"author_id": 289495757558513660,
"author_name": "NBTON | عمر",
"timestamp": "07/18/2022 12:34:32",
"content": "i cannot see what is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998629161771995100,
"author_id": 289495757558513660,
"author_name": "NBTON | عمر",
"timestamp": "07/18/2022 12:35:45",
"content": "I ran out of attempts",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998629233628823700,
"author_id": 289495757558513660,
"author_name": "NBTON | عمر",
"timestamp": "07/18/2022 12:36:02",
"content": "could someone tell me what is the right R ??",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998633009358065800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 12:51:03",
"content": "@NBTON | عمر Has your question been resolved?",
"attachments": [],
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{
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"name": "NBTON | عمر",
"discriminator": "4979",
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},
{
"id": 998633769760215200,
"author_id": 797077265472290800,
"author_name": "MO",
"timestamp": "07/18/2022 12:54:04",
"content": "Now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998633854002790400,
"author_id": 797077265472290800,
"author_name": "MO",
"timestamp": "07/18/2022 12:54:24",
"content": "Idk bout this method",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998633920830656500,
"author_id": 797077265472290800,
"author_name": "MO",
"timestamp": "07/18/2022 12:54:40",
"content": "I'd do the volume of resolution of both vurves and subtract",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998640578134810800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 13:21:07",
"content": "@NBTON | عمر Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 289495757558513660,
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"discriminator": "4979",
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}
],
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},
{
"id": 998649560916299900,
"author_id": 289495757558513660,
"author_name": "NBTON | عمر",
"timestamp": "07/18/2022 13:56:49",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998649562971521000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 13:56:49",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5db7e33b8f6c411ca3ce4c8f08fbae01
|
197,231 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 13:57:50",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998651847772479600,
"author_id": 325622800532504600,
"author_name": "Houston",
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"content": "",
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{
"id": 998651852658847900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 14:05:55",
"content": "Pinned a message.",
"attachments": [],
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"author_name": "Houston",
"timestamp": "07/18/2022 14:06:07",
"content": "",
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"id": 998651993885261800,
"author_id": 325622800532504600,
"author_name": "Houston",
"timestamp": "07/18/2022 14:06:29",
"content": "Good evening guys, I have a question about this. How can I show, that A is a Basis of P2n?",
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},
{
"id": 998652157874159700,
"author_id": 325622800532504600,
"author_name": "Houston",
"timestamp": "07/18/2022 14:07:08",
"content": "it is pretty obvious but I am not sure how to proof it properly",
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},
{
"id": 998653372896911400,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "07/18/2022 14:11:58",
"content": "take a general member of P_2n and show you can write it as a linear combination of A",
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},
{
"id": 998653414537973800,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:12:08",
"content": "That will show it's generating",
"attachments": [],
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},
{
"id": 998653444242014300,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:12:15",
"content": "show that you can write any element in P2n as the linear combination of elements in A",
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},
{
"id": 998653473153351700,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:12:22",
"content": "beat me to it",
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},
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"id": 998653482687004800,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:12:24",
"content": "I hate mobile",
"attachments": [],
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},
{
"id": 998653568108200100,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:12:44",
"content": "You still have to prove it's linearly independent, but there is a general argument for it",
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},
{
"id": 998653681052426400,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:13:11",
"content": "it's a subset of the monomes",
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},
{
"id": 998653684265255000,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:13:12",
"content": "qed",
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},
{
"id": 998654056333594600,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:14:41",
"content": "I don't really like the English convention of writing collections of vectors (that may or may not be bases) as sets",
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},
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"id": 998654176592662500,
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"timestamp": "07/18/2022 14:15:09",
"content": "huh",
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"id": 998654216954454100,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:15:19",
"content": "Because it makes any concerns about elements being identical and about the size of sets more annoying to state",
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},
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"id": 998654218808348700,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:15:19",
"content": "we also do that in germany",
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},
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"id": 998654304338596000,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/18/2022 14:15:40",
"content": "Hello there",
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"id": 998654319693922400,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:15:43",
"content": "I'm not saying it's unique to the English world, just that I see it there",
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"id": 998654549705363500,
"author_id": 325622800532504600,
"author_name": "Houston",
"timestamp": "07/18/2022 14:16:38",
"content": "if I want to proof the linearly independency I would try:\nax^0 + bx^1 + cx^2 ... = 0\nAnd show that the only solution is a = b = c = ... = 0\nAm I right?",
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"id": 998654872989732900,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:17:55",
"content": "I mean yeah, for how quickly that's done",
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},
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"id": 998655063272722600,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:18:41",
"content": "The general theorem here is the any family (which is an ordered list rather than a set) of monomials of distinct degrees is linearly independent",
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},
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"id": 998656745654210600,
"author_id": 325622800532504600,
"author_name": "Houston",
"timestamp": "07/18/2022 14:25:22",
"content": "How can I show this? \nin case x = 0, I can set b on whatever I want",
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"id": 998656864663392400,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:25:50",
"content": "Two polynomials are equal iff their coefficients are equal",
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{
"id": 998657082750406700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/18/2022 14:26:42",
"content": "So if $\\sum_{i=0}^n a_iX^{2i} = 0$, since the $a_i$ themselves are coefficients of the polynomial, we must have $a_0 = \\cdots = a_n = 0$",
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"id": 998657094930677800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/18/2022 14:26:45",
"content": "**Syst3ms**",
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"id": 998660521429581800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 14:40:22",
"content": "@Houston Has your question been resolved?",
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"id": 998660656838492200,
"author_id": 325622800532504600,
"author_name": "Houston",
"timestamp": "07/18/2022 14:40:54",
"content": "thank you Syst3ms, now I've understand how to proof that!!",
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},
{
"id": 998660664887353300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 14:40:56",
"content": "Channel closed",
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}
] |
help-9
|
9346fee4275c40dc842de40a36d1ac63
|
197,232 |
[
{
"id": 998660918294622300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 14:41:57",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 998662819115438100,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 14:49:30",
"content": "how would i dothis one?",
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"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 14:49:30",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 998663589709750300,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/18/2022 14:52:34",
"content": "do a prime factorization of 60",
"attachments": [],
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"name": "Rustty™",
"discriminator": "3807",
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},
{
"id": 998663827426132200,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 14:53:30",
"content": "im not familiar with that",
"attachments": [],
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},
{
"id": 998664197841899500,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 14:54:59",
"content": "rewrite the logarithms",
"attachments": [],
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},
{
"id": 998664211653730400,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 14:55:02",
"content": "to exponents",
"attachments": [],
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"reference": null
},
{
"id": 998664222718304300,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 14:55:04",
"content": "that makes it easy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998664279718895600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 14:55:18",
"content": "",
"attachments": [
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"id": 998664621521125500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 14:56:40",
"content": "Check it out on Google. Or somewhere. In short prime factorisation is a way to factor ANY natural number in a way that you write the number as a product of exponents of its prime factors exclusively.",
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"id": 998664697618366600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 14:56:58",
"content": "An example: 24 = 2^3 * 3",
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"id": 998664764999864300,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 14:57:14",
"content": "ill take a look then",
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"id": 998664837280301200,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 14:57:31",
"content": "how does our x ad y values fit into this afterward then",
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"id": 998665091295748100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 14:58:32",
"content": "They fit pretty well once you prime factorise 60.",
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{
"id": 998665143586140300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 14:58:44",
"content": "So, you should look it up first.",
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{
"id": 998665249853014100,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 14:59:09",
"content": "okok",
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{
"id": 998665417801334900,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 14:59:49",
"content": "that sounds good",
"attachments": [],
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},
{
"id": 998665462139330700,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 15:00:00",
"content": "this would be my approach",
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"id": 998665506800292000,
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"author_name": "~Martin",
"timestamp": "07/18/2022 15:00:11",
"content": "oh wait",
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{
"id": 998665519412564100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 15:00:14",
"content": "wrong",
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"id": 998665554669863000,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 15:00:22",
"content": "ignore that pls",
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},
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"id": 998665581026873500,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:00:28",
"content": "no problem",
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},
{
"id": 998665726300782600,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:01:03",
"content": "after prime factoring 60 it just break it down no?",
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{
"id": 998666108288630800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:02:34",
"content": "You should be able to see 2 and 5 in the prime factorisation of 60.",
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},
{
"id": 998666237129277400,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:03:05",
"content": "correct",
"attachments": [],
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},
{
"id": 998666249263394800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:03:08",
"content": "And after that, you can check what Martin is doing.",
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{
"id": 998666324710527000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:03:26",
"content": "You already know how to write 2 or 5 as an exponent of 3.",
"attachments": [],
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},
{
"id": 998666408156221600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:03:46",
"content": "So you can technically write everything in terms of 3 for your problem.",
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},
{
"id": 998666682685997000,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:04:51",
"content": "i am a little lost with part",
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},
{
"id": 998666719583285400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:05:00",
"content": "Prime factorise 60.",
"attachments": [],
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},
{
"id": 998666736368898200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:05:04",
"content": "Tell me what you get",
"attachments": [],
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},
{
"id": 998666806455697500,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:05:20",
"content": "2^2, 3 , 5",
"attachments": [],
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},
{
"id": 998666962752254100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:05:58",
"content": "Now read this.",
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},
{
"id": 998667179044114600,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:06:49",
"content": "both of them have a prime factor from 60",
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},
{
"id": 998667233364545500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:07:02",
"content": "60 = 2^2 * 3 * 5",
"attachments": [],
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},
{
"id": 998667328197763200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:07:25",
"content": "Use 3^x = 5 and 3^y = 2",
"attachments": [],
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},
{
"id": 998667356505125000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:07:32",
"content": "Do it.",
"attachments": [],
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},
{
"id": 998667399526092900,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:07:42",
"content": "for both 2's and the five?",
"attachments": [],
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},
{
"id": 998667521261568100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:08:11",
"content": "Yes.",
"attachments": [],
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},
{
"id": 998667550772691100,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:08:18",
"content": "kk ill try it out",
"attachments": [],
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"reference": null
},
{
"id": 998667648835530900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:08:41",
"content": "Like do 60 = that.\nBut use the values for 2 and 5 that you now are given atq.",
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},
{
"id": 998667907246588000,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:09:43",
"content": "3^x=5, and 3^y=2?",
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},
{
"id": 998668067460616300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:10:21",
"content": "Yeah?",
"attachments": [],
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},
{
"id": 998668087446478800,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:10:26",
"content": "kk",
"attachments": [],
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},
{
"id": 998668399506890800,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:11:40",
"content": "so doing that out gives me log_3(3^3x+1)",
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},
{
"id": 998668440581709800,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:11:50",
"content": "which in turn is a answer of 3x+1",
"attachments": [],
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},
{
"id": 998668645498622000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:12:39",
"content": "I doubt it is the answer cause you can't have the answer without a y term.",
"attachments": [],
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},
{
"id": 998668754936406100,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:13:05",
"content": "true",
"attachments": [],
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"reference": null
},
{
"id": 998668981852455000,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:13:59",
"content": "so where would i go from [log_3((3^y)(3^y)(3)(3^x))]?",
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},
{
"id": 998669376687456300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:15:33",
"content": "First of all forget log",
"attachments": [],
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},
{
"id": 998669402801193100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:15:40",
"content": "Just write it for 60",
"attachments": [],
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},
{
"id": 998669495461740500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:16:02",
"content": "60 =( 3^y)(3^y)(3^x)(3) sure",
"attachments": [],
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},
{
"id": 998669568174211200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:16:19",
"content": "Now there happens to be a law of exponent that deals with this nicely.",
"attachments": [],
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},
{
"id": 998669597324624000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:16:26",
"content": "Are you aware of that?",
"attachments": [],
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},
{
"id": 998669852799684700,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:17:27",
"content": "the two 3^y can be conjoined?",
"attachments": [],
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},
{
"id": 998669910878199800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:17:41",
"content": "Sure.",
"attachments": [],
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},
{
"id": 998669977588617300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:17:57",
"content": "For starters, all of these can be written in a simpler manner.",
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},
{
"id": 998670068026187800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:18:18",
"content": "Refer laws of Exponents.",
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{
"id": 998670124120817700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:18:31",
"content": "a^m * a^n = a^{m+n}",
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},
{
"id": 998670194740305900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:18:48",
"content": "That's about all you have to use here.",
"attachments": [],
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},
{
"id": 998670349023592400,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:19:25",
"content": "so it would be 3(x+y^2)",
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},
{
"id": 998670422600077300,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:19:43",
"content": "3(y^2+x)(3) sorry",
"attachments": [],
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},
{
"id": 998670824401797100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:21:18",
"content": "It wouldn't be.",
"attachments": [],
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"reference": null
},
{
"id": 998670886985015400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:21:33",
"content": "You tell me what's 2^3 * 2^3",
"attachments": [],
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},
{
"id": 998670985937047700,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:21:57",
"content": "64?",
"attachments": [],
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},
{
"id": 998671099854344300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:22:24",
"content": "In terms of exponent of 2",
"attachments": [],
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},
{
"id": 998671281367040100,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:23:07",
"content": "16",
"attachments": [],
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"reference": null
},
{
"id": 998672237261492400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:26:55",
"content": "...",
"attachments": [],
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"reference": null
},
{
"id": 998672248347054100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:26:58",
"content": "No?",
"attachments": [],
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},
{
"id": 998672299639189600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:27:10",
"content": "Did you mean 2^16 or I interpreted that wrong?",
"attachments": [],
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},
{
"id": 998672383181336600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:27:30",
"content": "Well whatever you might have meant, 16 is not even close. Apparently.",
"attachments": [],
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},
{
"id": 998672388591980500,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:27:31",
"content": "sorry i thought you ment 2^2 *2^2",
"attachments": [],
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},
{
"id": 998672444665630800,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:27:45",
"content": "my fualt",
"attachments": [],
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},
{
"id": 998672481961386100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:27:54",
"content": "In any case let's just hop back to your problem.",
"attachments": [],
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},
{
"id": 998672510512021600,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:28:00",
"content": "kk",
"attachments": [],
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},
{
"id": 998672543160480000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:28:08",
"content": "There you have 3^x * 3^y * 3^y * 3^1",
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},
{
"id": 998672581777428500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:28:17",
"content": "When bases are same you can add exponents.",
"attachments": [],
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},
{
"id": 998672604107919400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:28:23",
"content": "All of them, yes.",
"attachments": [],
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},
{
"id": 998672692146348000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:28:44",
"content": "So can you write them as 3^{a + b +c ..} ?",
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},
{
"id": 998672760928739300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:29:00",
"content": "a b and c aren't in your problem, that's an example.",
"attachments": [],
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},
{
"id": 998672902738169900,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:29:34",
"content": "would just come out to being 3^x^2+y+1",
"attachments": [],
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},
{
"id": 998673056492957700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:30:11",
"content": "Not quite.",
"attachments": [],
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"reference": null
},
{
"id": 998673077556752500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:30:16",
"content": "Where is x^2 coming from?",
"attachments": [],
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"reference": null
},
{
"id": 998673208922361900,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:30:47",
"content": "oml sorry (3^y^2+x+1)",
"attachments": [],
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},
{
"id": 998673635025887400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:32:29",
"content": "It still isn't correct.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998673772682952800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:33:01",
"content": "$a^p \\cdot a^q \\neq a^{p^q}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998673877578293200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/18/2022 15:33:26",
"content": "**What the hell am I doing here?**",
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"id": 998673918116241500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:33:36",
"content": "Like it clearly, is not.",
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"id": 998674285692473500,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:35:04",
"content": "",
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"author_name": "Rustty™",
"timestamp": "07/18/2022 15:35:09",
"content": "im meaning this",
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},
{
"id": 998674457629560800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:35:45",
"content": "Yeah it's wrong.",
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},
{
"id": 998674505268482000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:35:56",
"content": "y^2 is wrong.",
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"id": 998674541414977500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:05",
"content": "It's actually y + y",
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},
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"id": 998674581395099600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:14",
"content": "like you added the x and 1",
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},
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"id": 998674607198453900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:20",
"content": "You have to add the y too. No exception",
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},
{
"id": 998674624982307000,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:36:25",
"content": "ohhhhhhhhhh righttttttt",
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{
"id": 998674632573993000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:26",
"content": "x + y + y + 1",
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},
{
"id": 998674657127448600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:32",
"content": "x + 2y + 1",
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},
{
"id": 998674668624023700,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:36:35",
"content": "when you add they dont go together",
"attachments": [],
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},
{
"id": 998674718267818000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:36:47",
"content": "So do you follow?",
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},
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"id": 998674730901053600,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:36:50",
"content": "yes",
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},
{
"id": 998674743265861800,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:36:53",
"content": "i apoligize",
"attachments": [],
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},
{
"id": 998674910153027700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/18/2022 15:37:33",
"content": "I guess.",
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},
{
"id": 998674915068756100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/18/2022 15:37:34",
"content": "**What the hell am I doing here?**",
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"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:38:02",
"content": "thank you sir i really appreciate it",
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},
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"id": 998675113572573200,
"author_id": 463879215184609300,
"author_name": "Rustty™",
"timestamp": "07/18/2022 15:38:21",
"content": ".close",
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},
{
"id": 998675115170598900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 15:38:21",
"content": "Channel closed",
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}
] |
help-9
|
095a1f41df6343f08172737e3d6b7ef0
|
197,233 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 15:39:22",
"content": "Available help channel!",
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},
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"id": 998677319830999200,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 15:47:07",
"content": "(this isnt homework its just a random problem)",
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"timestamp": "07/18/2022 15:47:08",
"content": "Pinned a message.",
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"id": 998677378039562400,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 15:47:21",
"content": "i understand being able to potentially solve it by yknow",
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"id": 998677413691134100,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 15:47:29",
"content": "extending everything out",
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},
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"id": 998677453176320000,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 15:47:39",
"content": "just wondering if theres a quicker way that im missing",
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"timestamp": "07/18/2022 16:02:39",
"content": "@Xish Has your question been resolved?",
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"timestamp": "07/18/2022 16:03:44",
"content": "@Helpers",
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"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/18/2022 16:06:35",
"content": "Expand it using double angle identities",
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"timestamp": "07/18/2022 16:11:53",
"content": "thats what im doing but its extremely tedious for the time frame of the question needing to be solved\nim just wondering if like theres anything else besides double angles and addition/subtraction identities",
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"timestamp": "07/18/2022 16:41:53",
"content": "@Xish Has your question been resolved?",
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"timestamp": "07/18/2022 16:42:06",
"content": "Channel closed",
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}
] |
help-9
|
60885315dba84befb13fa4b9211a0380
|
197,234 |
[
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"timestamp": "07/18/2022 16:59:19",
"content": "Available help channel!",
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"id": 998717170643128300,
"author_id": 488813668436279300,
"author_name": "Dexter",
"timestamp": "07/18/2022 18:25:28",
"content": "The question is number 17.",
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"content": "Pinned a message.",
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"author_name": "Dexter",
"timestamp": "07/18/2022 18:25:44",
"content": "The answer keys says,",
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"timestamp": "07/18/2022 18:26:52",
"content": "But on my calculator I am getting",
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"timestamp": "07/18/2022 18:27:11",
"content": "Which is correct?",
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{
"id": 998719009870581900,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "07/18/2022 18:32:47",
"content": "you could try plugging each of the answers back into the equation to see which are right",
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"timestamp": "07/18/2022 18:42:11",
"content": "@Dexter Has your question been resolved?",
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"timestamp": "07/18/2022 18:43:35",
"content": "Hm, alright met me try.",
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"timestamp": "07/18/2022 18:43:54",
"content": "Is it saying that these are the answers?",
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"timestamp": "07/18/2022 18:44:04",
"content": "I’m confused on what the answer key is actually saying too",
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"timestamp": "07/18/2022 18:57:11",
"content": "Channel closed",
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}
] |
help-9
|
ddd45199fdc647c2b61aa2dd39ea75e5
|
197,235 |
[
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"timestamp": "07/18/2022 18:58:12",
"content": "Available help channel!",
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},
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"id": 998729350683820200,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:13:52",
"content": "Hi",
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{
"id": 998729352944562300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 998729400340189300,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/18/2022 19:14:04",
"content": "why is that",
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"id": 998729435215823000,
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"timestamp": "07/18/2022 19:14:31",
"content": "@.,.. there",
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"id": 998729585199956100,
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"timestamp": "07/18/2022 19:14:48",
"content": "it's asking you",
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"id": 998729591441080400,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/18/2022 19:14:50",
"content": "not me",
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},
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"id": 998729667492192400,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:15:08",
"content": "Ok",
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},
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"id": 998729689310970000,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/18/2022 19:15:13",
"content": "alot of sin",
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{
"id": 998729714611015700,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/18/2022 19:15:19",
"content": "whats the first one",
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"id": 998729731648270300,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:15:23",
"content": "How do I do it",
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},
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"id": 998729818906566700,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:15:44",
"content": "I though I just write it down but in the answers it like a = 12",
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"id": 998729829564289000,
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"author_name": "dldh06",
"timestamp": "07/18/2022 19:15:46",
"content": "Given the the position of the angle, what trig function is appropriate?",
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"id": 998729837957107700,
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"timestamp": "07/18/2022 19:15:48",
"content": "what do you use to find the missing side x on the first one",
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"timestamp": "07/18/2022 19:15:59",
"content": "Sin",
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"author_name": "hello_idont",
"timestamp": "07/18/2022 19:16:09",
"content": "For number 1",
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"id": 998729950888722600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:16:15",
"content": "Also, you're not finding A",
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"id": 998730005628588000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:16:28",
"content": "You're creating an equation relating A and the sides",
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"id": 998730009072119900,
"author_id": 852256521986768900,
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"timestamp": "07/18/2022 19:16:29",
"content": "You cant get the lengths with given info",
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"id": 998730127863205900,
"author_id": 852256521986768900,
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"timestamp": "07/18/2022 19:16:57",
"content": "you just have to know how you would find it",
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"timestamp": "07/18/2022 19:16:58",
"content": "What would the equation be?",
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"author_name": "hello_idont",
"timestamp": "07/18/2022 19:17:10",
"content": "Sin(a) =o/4",
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"id": 998730239100330100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:17:24",
"content": "Where is 4?",
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},
{
"id": 998730241566585000,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:17:25",
"content": "How to slove that",
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},
{
"id": 998730245383389200,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/18/2022 19:17:26",
"content": "what",
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},
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"id": 998730267294445600,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:17:31",
"content": "10",
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"id": 998730268452065400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:17:31",
"content": "In question one",
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},
{
"id": 998730296335810700,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:17:38",
"content": "I mean",
"attachments": [],
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},
{
"id": 998730297904484500,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:17:38",
"content": "My bad",
"attachments": [],
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},
{
"id": 998730350559772800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:17:51",
"content": "Please retype your answer",
"attachments": [],
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},
{
"id": 998730369547386900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:17:55",
"content": "Properly",
"attachments": [],
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},
{
"id": 998730423838449700,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:18:08",
"content": "Sin(a)=o/10",
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},
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"id": 998730439940386800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:18:12",
"content": "And that's it",
"attachments": [],
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},
{
"id": 998730469904494700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:18:19",
"content": "That's the answer",
"attachments": [],
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},
{
"id": 998730489181511700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:18:24",
"content": "That's all you can do",
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},
{
"id": 998730508273979500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:18:28",
"content": "For those problems",
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},
{
"id": 998730543430639600,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:18:37",
"content": "Na but the answers be different",
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},
{
"id": 998730578725711900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:18:45",
"content": "What do you mean?",
"attachments": [],
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},
{
"id": 998730695990054900,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:19:13",
"content": "Nvm",
"attachments": [],
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},
{
"id": 998730716714111100,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:19:18",
"content": "We are right",
"attachments": [],
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},
{
"id": 998730726180655100,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:19:20",
"content": "Thanks",
"attachments": [],
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},
{
"id": 998730746606932000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/18/2022 19:19:25",
"content": "It just wants the trig ratio",
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},
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"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:19:49",
"content": "Thanks man",
"attachments": [],
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},
{
"id": 998730860255793200,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "07/18/2022 19:19:52",
"content": ".close",
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},
{
"id": 998730862034165900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 19:19:53",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e639a0d8f0a249689984f8766d4e1dcb
|
197,236 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 19:23:55",
"content": "Available help channel!",
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},
{
"id": 998735002487496800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 19:36:20",
"content": "Pinned a message.",
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"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/18/2022 19:37:35",
"content": "That means there’s no real solutions",
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"id": 998735318108876900,
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"timestamp": "07/18/2022 19:37:35",
"content": "i would do so with matrix operations",
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:40:19",
"content": "",
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"id": 998736584859996300,
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:42:37",
"content": "it means that the answer is false",
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},
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"id": 998736595857453000,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:42:40",
"content": "which confuses me",
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},
{
"id": 998736630657585200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:42:48",
"content": "because you are sure that the answer is correct",
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"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:42:51",
"content": "",
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"id": 998736804532465800,
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:43:29",
"content": "where does it say that both are correct?",
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},
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"id": 998736830981750900,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:43:36",
"content": "i only see that at least one must be correct",
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:44:55",
"content": "",
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"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/18/2022 19:45:51",
"content": "one of the items is \"is b in the **kernel** of T?\" though",
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"id": 998737448563654800,
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:46:03",
"content": "ohhh",
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"id": 998737457300377700,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:46:05",
"content": "misread that",
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},
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"id": 998737749152649300,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:47:15",
"content": "i will write it real quick",
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},
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"id": 998737835433668600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:47:35",
"content": "A*b=0",
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"id": 998737845013467100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:47:37",
"content": "if this is true",
"attachments": [],
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},
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"id": 998737856975601700,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:47:40",
"content": "then b is in the kernel",
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},
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"id": 998738043068489900,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:48:25",
"content": "ah ok",
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},
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"id": 998738543125987500,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:50:24",
"content": "the matrix is called an augmented matrix\neach column is a vector like (3,-6,4)\neach column is augmented or multiplied by a scalar (a b and c)\nthis is just another way of writing\n3a-3b+0c=-3\n-6a-1b-21c=-3\n4a+7b+33c=1\nif we then row reduce, we get the most simple representation of this system of linear equations",
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"id": 998738638403797000,
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"author_name": "~Martin",
"timestamp": "07/18/2022 19:50:47",
"content": "in this system we can then see whether the system has solutions and if so what they are",
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},
{
"id": 998738840267280400,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:51:35",
"content": "here we can see that for v1:\n0+0+0=1\nwhich is not true\nso it is not possible to write v1 as a linear combination of these column vectors",
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"id": 998738915668279400,
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"timestamp": "07/18/2022 19:51:53",
"content": "this is equivalent to the fact to v1 is not in the image of the whole matrix",
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{
"id": 998738959133839500,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:52:03",
"content": "which is equivalent to the fact that v1 is in the kernel of the matrix",
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},
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"id": 998739062372446300,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:52:28",
"content": "sry for misreading the task",
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},
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"id": 998739832371167400,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:55:31",
"content": "no solution for b",
"attachments": [],
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},
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"id": 998739855007830000,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:55:37",
"content": "c is the right vector",
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"id": 998739903695302800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:55:48",
"content": "where we get\n1a+3c=0\n1b+3c=1",
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},
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"id": 998739918006276100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/18/2022 19:55:52",
"content": "which has solutions",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 19:58:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
291bbf0719ba4bf3b6371e0e5a0b2600
|
197,237 |
[
{
"id": 998740791029682200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 19:59:20",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 998741636383260700,
"author_id": 646953259252056000,
"author_name": "Duck Masta",
"timestamp": "07/18/2022 20:02:41",
"content": "You are taking a math exam and the last section consists of 10 multiple choice questions. After going over each of the questions, you are positive you have the right answer for 7 of the questions. You know that you are going to have to guess on the last 3 questions. Each question has 4 answer choices. When you finish the exam, you start to wonder, “What is the probability that you got all 3 questions right if you randomly guessed on all 3 questions?”\n\nI'm trying to understand what the Expected Value, which is 3/4, means in this context, but i can't figure it out",
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"timestamp": "07/18/2022 20:02:42",
"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 20:17:42",
"content": "@Duck Masta Has your question been resolved?",
"attachments": [],
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"name": "Duck Masta",
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{
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"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 20:48:45",
"content": "@Duck Masta Has your question been resolved?",
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"timestamp": "07/18/2022 21:49:18",
"content": "@Duck Masta Has your question been resolved?",
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"id": 998772922627924000,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "07/18/2022 22:07:01",
"content": "I think you have a 3/4 chance in getting all 3 questions right, it looks like (given the data above)",
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"author_name": "Duck Masta",
"timestamp": "07/18/2022 22:13:39",
"content": "mhm, but how would it be 75% if you're randomly picking the answers in a logical sense?",
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},
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"id": 998795837100523500,
"author_id": 646953259252056000,
"author_name": "Duck Masta",
"timestamp": "07/18/2022 23:38:04",
"content": ".close",
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},
{
"id": 998795838795022300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 23:38:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
df0ce0fa554e45549c23c0629442c3be
|
197,238 |
[
{
"id": 958957100191604700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 01:13:09",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 958958527060275200,
"author_id": 409214593701773300,
"author_name": "sensai",
"timestamp": "03/31/2022 01:18:49",
"content": "what would dy/dt be for part (b)?",
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"timestamp": "03/31/2022 01:18:50",
"content": "Pinned a message.",
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"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/31/2022 01:19:35",
"content": "dy/dt is just the slope of the graph of y vs. t",
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},
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"id": 958958725530533900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/31/2022 01:19:36",
"content": "@sensai",
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"timestamp": "03/31/2022 01:21:45",
"content": "ohh yea thx",
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},
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"author_name": "sensai",
"timestamp": "03/31/2022 01:21:53",
"content": ".close",
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},
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"id": 958959298736717800,
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"timestamp": "03/31/2022 01:21:53",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b069c3512e714ee39393e0ce21d76c23
|
197,239 |
[
{
"id": 998796091313098800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/18/2022 23:39:04",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998799093889507500,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:51:00",
"content": "Hello, I am trying to find the explicit formula for a given series,",
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},
{
"id": 998799096355758200,
"author_id": 805217272087838700,
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"timestamp": "07/18/2022 23:51:01",
"content": "Pinned a message.",
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},
{
"id": 998799197815984300,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:51:25",
"content": "```[-10, 50, -1000/3, 2500, -10000]```",
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},
{
"id": 998799395803906200,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:52:12",
"content": "I feel as though there is something here I am missing as im pretty stumpted",
"attachments": [],
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},
{
"id": 998799606454427600,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:53:02",
"content": "Definitely going to have a (-1)^n in it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998799632224231600,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:53:09",
"content": "Since the sign keeps alternating",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998799805834866800,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 23:53:50",
"content": "At a glance it looks like the first is times -10 then divide 2, next is times -100 divide 3",
"attachments": [],
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},
{
"id": 998799881651105800,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 23:54:08",
"content": "So on so forth but take that with a grain of salt",
"attachments": [],
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},
{
"id": 998800013960413300,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 23:54:40",
"content": "Wait nvm",
"attachments": [],
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"reference": null
},
{
"id": 998800028925702300,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 23:54:43",
"content": "I had a moment",
"attachments": [],
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"reference": null
},
{
"id": 998800113436733600,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/18/2022 23:55:03",
"content": "lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800161633476700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 23:55:15",
"content": "theres -10000 which is kinda sus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800164598853800,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:55:16",
"content": "I know the sequence",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800223558176800,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:55:30",
"content": "(-10)(An-1)/n?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800258593194100,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:55:38",
"content": "What is the A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800303254155400,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:55:49",
"content": "its the previous term",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800336766632100,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:55:57",
"content": "a sub n minus 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800381645701100,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:56:07",
"content": "Uh I think it is just (-10)^n/n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800431134294000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 23:56:19",
"content": "what about the -10000",
"attachments": [],
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},
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"id": 998800585480470700,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:56:56",
"content": "it works out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800650571886700,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:57:11",
"content": "Hmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800692410073200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 23:57:21",
"content": "this sequence kinda sus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800712458829800,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:57:26",
"content": "-10,000",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800742678806700,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "07/18/2022 23:57:33",
"content": "Call it experimental error",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800749070921700,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:57:35",
"content": "i mistyped",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800756545167500,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:57:37",
"content": "i tihnk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800764170424400,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:57:38",
"content": "thats -20000",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998800837168079000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/18/2022 23:57:56",
"content": "oh okay then this guy is right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998801056341434400,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:58:48",
"content": "ty all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998801161786236900,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/18/2022 23:59:13",
"content": "i wil lhave more questions shortly should i close and open new or just leave this and type when needed",
"attachments": [],
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},
{
"id": 998801404275720200,
"author_id": 488806985765224450,
"author_name": "Xish",
"timestamp": "07/19/2022 00:00:11",
"content": "oh cool I thought I just made a horrible mistake",
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"id": 998801555987894300,
"author_id": 132195061785034750,
"author_name": "dyngo",
"timestamp": "07/19/2022 00:00:47",
"content": "I made the horrible mistake haha thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998805332111396900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 00:15:48",
"content": "@dyngo Has your question been resolved?",
"attachments": [],
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},
{
"id": 998805899625898100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 00:18:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
073eb01186464caf9f6ee717a1b4b5d8
|
197,240 |
[
{
"id": 998813205025534000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 00:47:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998815054478725100,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 00:54:26",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 00:54:26",
"content": "Pinned a message.",
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}
},
{
"id": 998815089924788400,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 00:54:34",
"content": "how do I apply lhopital rule here?",
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},
{
"id": 998817124497772500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/19/2022 01:02:39",
"content": "the usual way? derivative of the top and bottom?",
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},
{
"id": 998818632501047400,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 01:08:39",
"content": "do I ignore the a,b != 0 for now?",
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},
{
"id": 998818678567092400,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 01:08:50",
"content": "or just ignore it completely?",
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"reference": null
},
{
"id": 998818781533044700,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 01:09:14",
"content": "@Zybikron",
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"id": 998819035951157200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/19/2022 01:10:15",
"content": "the a and b !=0 are so there isn't any problems with the numbers. If b=0 then the question has division by 0 to start with. S",
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},
{
"id": 998819181598343200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/19/2022 01:10:50",
"content": "And if a=0, then the limit is just 0.",
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},
{
"id": 998819219921699000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/19/2022 01:10:59",
"content": "So to avoid any weird cases they list a,b!=0",
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},
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"id": 998819591998414800,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 01:12:27",
"content": "so in the end it's just b/a no?",
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},
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"id": 998823367740227600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 01:27:28",
"content": "@Aeon Has your question been resolved?",
"attachments": [],
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"id": 998823483364614100,
"author_id": 264611631860940800,
"author_name": "Aeon",
"timestamp": "07/19/2022 01:27:55",
"content": ".close",
"attachments": [],
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},
{
"id": 998823485042348000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 01:27:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2e46587fe0b940178974c888708e1a9d
|
197,241 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 01:28:56",
"content": "Available help channel!",
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"reference": null
},
{
"id": 998831566325284900,
"author_id": 798366001829642200,
"author_name": "Kharis",
"timestamp": "07/19/2022 02:00:02",
"content": "I got the graph right, but I don’t understand how do you determine which part you shade on the graph?",
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"timestamp": "07/19/2022 02:00:03",
"content": "Pinned a message.",
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"timestamp": "07/19/2022 02:15:03",
"content": "@Kharis Has your question been resolved?",
"attachments": [],
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"id": 998838156940017800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/19/2022 02:26:14",
"content": "if it's y >= f(x) you shade above, if it's y <= f(x) you shade below",
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},
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"id": 998838327736287200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/19/2022 02:26:54",
"content": "if it's more complicated than this just plug in a point not on the boundary and shade either the region that contains it or the region that doesn't, accordingly",
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},
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"id": 998843859486388200,
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"timestamp": "07/19/2022 02:48:53",
"content": "@Kharis Has your question been resolved?",
"attachments": [],
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"name": "Kharis",
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"id": 998847091977748500,
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 03:01:44",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
9b5e1c10ee9e4dbf9ffda59df178bddb
|
197,242 |
[
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"id": 998852691549749200,
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"timestamp": "07/19/2022 03:23:59",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 998853987220586500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/19/2022 03:29:08",
"content": "E",
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"timestamp": "07/19/2022 03:29:08",
"content": "Pinned a message.",
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"id": 998854062629978100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/19/2022 03:29:26",
"content": "Hi, can someone help me with part i?",
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},
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"id": 998854279202885600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/19/2022 03:30:17",
"content": "have you calculated dy/dx thus far?",
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},
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"id": 998854991118860300,
"author_id": 560241701612945400,
"author_name": "HellO",
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"author_id": 560241701612945400,
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"timestamp": "07/19/2022 03:33:33",
"content": "ah wait i see an error",
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},
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"content": "oh do i sub dy/dx = 0",
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"timestamp": "07/19/2022 03:35:43",
"content": "because the graph has a positive gradient throughout",
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"content": "or <= 0",
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"timestamp": "07/19/2022 03:37:30",
"content": "hm but ill still have x as an unknown",
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"timestamp": "07/19/2022 03:39:17",
"content": "yeah your dy/dx is kind of bad actually",
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"content": "you misapplied the quotient rule and didnt differentiate lambda properly (its derivative is 0, not itself)",
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"timestamp": "07/19/2022 03:39:44",
"content": ",w d/dx (x^2 + λ)/(x+2)",
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"timestamp": "07/19/2022 03:39:49",
"content": "Results provided by WolframAlpha",
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"content": "when it comes to the quotient rule you really need to be careful both about the initial application and about the simplification that follows",
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"timestamp": "07/19/2022 03:45:58",
"content": "i thought i had to differentiate the (2x)",
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"timestamp": "07/19/2022 03:47:01",
"content": "uhm, so now ill sub dy/dx <= 0?",
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"timestamp": "07/19/2022 03:47:21",
"content": "because the entire curve has a positive gradient",
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"author_name": "Ann",
"timestamp": "07/19/2022 03:47:45",
"content": "i think maybe instead of rushing to sub things in you should _think_ a little",
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"author_name": "Ann",
"timestamp": "07/19/2022 03:47:57",
"content": "$\\dv{y}{x} = \\frac{x^2 + 4x - \\lambda}{(x+2)^2}$",
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"timestamp": "07/19/2022 03:47:59",
"content": "**Ann**",
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"timestamp": "07/19/2022 03:48:02",
"content": "we are told this is positive always",
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"timestamp": "07/19/2022 03:48:25",
"content": "(x+2)^2 is positive at all x ≠ -2 (and the one point where it's zero is also a point not in our domain), so (x+2)^2 does not affect the sign of dy/dx",
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"timestamp": "07/19/2022 03:48:27",
"content": "do you understand this",
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"timestamp": "07/19/2022 03:48:55",
"content": "yes",
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"timestamp": "07/19/2022 03:48:58",
"content": "k",
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"timestamp": "07/19/2022 03:49:02",
"content": "oh so i just need to compare the top?",
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"timestamp": "07/19/2022 03:49:08",
"content": "so dy/dx > 0 is equivalent to x^2 + 4x - λ > 0",
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"timestamp": "07/19/2022 03:49:18",
"content": "yes",
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"timestamp": "07/19/2022 03:49:28",
"content": "and from this i would complete the square",
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"timestamp": "07/19/2022 03:49:55",
"content": "one sec",
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"id": 998859236748558300,
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"author_name": "Ann",
"timestamp": "07/19/2022 03:49:59",
"content": "rewrite x^2 + 4x - λ as (x+2)^2 - (λ+4)",
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"timestamp": "07/19/2022 03:50:26",
"content": "and then requiring THAT to always be positive (for x ≠ -2) we need λ+4 ≤ 0",
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"timestamp": "07/19/2022 03:56:30",
"content": "ohhhh",
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"timestamp": "07/19/2022 03:56:37",
"content": "okay i get it",
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"id": 998860946967642200,
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"timestamp": "07/19/2022 03:56:47",
"content": "thank you",
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"content": ":sadcatthumbsup:",
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"timestamp": "07/19/2022 03:57:06",
"content": ".close",
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{
"id": 998861030115524600,
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 03:57:07",
"content": "Channel closed",
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}
] |
help-9
|
a3a1e59694054c89a614f3ebdb7c1726
|
197,243 |
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"id": 998861282486796300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 03:58:07",
"content": "Available help channel!",
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},
{
"id": 998865396914454700,
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"timestamp": "07/19/2022 04:14:28",
"content": "Pinned a message.",
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"content": "divided both sides by 4.48(1-r), it would seem",
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"content": ",calc 5.1968/4.48",
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"author_id": 510789298321096700,
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"timestamp": "07/19/2022 04:16:00",
"content": "Result:\n```\n1.16\n```",
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"content": "Is the answer r= 0.4?",
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"content": "Channel closed",
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}
] |
help-9
|
c979c98ea8c442d6a5ccc2235a72dfc2
|
197,244 |
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"content": "Available help channel!",
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"id": 998884644265148500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/19/2022 05:30:57",
"content": "I’m stuck here, think there’s something I can do with logs but I’m not sure if we’re meant to know it yet so if there’s a way to solve without logs please tell me, if not just tell me how to do it with logs :)",
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"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 05:33:11",
"content": "$$\\int \\frac{2x}{x+1}dx$$",
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"id": 998885218549252100,
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"timestamp": "07/19/2022 05:33:14",
"content": "**Legolas**",
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"timestamp": "07/19/2022 05:33:51",
"content": "Integration by parts is much easier",
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"timestamp": "07/19/2022 05:34:05",
"content": "You can set u to 2x and dv to 1/(x + 1)",
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"author_name": "D.",
"timestamp": "07/19/2022 05:35:42",
"content": "@Deleted User um ur working out is right, no need to rewrite the -2/x+1 as -2(x+1)^-1",
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"author_name": "D.",
"timestamp": "07/19/2022 05:36:26",
"content": "since u know the integral of 1/x is ln x",
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"timestamp": "07/19/2022 05:37:01",
"content": "$\\frac{2x}{x+1} = \\frac{2x+(2-2)}{x+1} = \\frac{2x+2}{x+1}-\\frac{2}{x+1}=2-\\frac{2}{x+1}$",
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"timestamp": "07/19/2022 05:37:03",
"content": "**Denascite**",
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"timestamp": "07/19/2022 05:37:20",
"content": "just as a quick step so you don't have to do partial fractions",
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"timestamp": "07/19/2022 05:37:47",
"content": "in general before you do partial fractions the degree of the numerator should be less than the degree of the denominator",
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"timestamp": "07/19/2022 05:38:19",
"content": "@Denascite yh i dont think the fraction bit is what is confusing her its the integration bit",
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"timestamp": "07/19/2022 05:38:21",
"content": "otherwise first do polynomial division/what I did",
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"timestamp": "07/19/2022 05:38:39",
"content": "well it seemed like you had the other part covered",
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"timestamp": "07/19/2022 05:38:50",
"content": "so I just wanted to offer this tip to speed up future calculations",
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"timestamp": "07/19/2022 05:39:00",
"content": "true say",
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"timestamp": "07/19/2022 05:39:32",
"content": "Yeah thanks I hate partial fractions anyway aha",
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"timestamp": "07/19/2022 05:40:00",
"content": "But yeah I got no clue how to integrate -2/x+1 other than there should be an ln somewhere",
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"timestamp": "07/19/2022 05:40:09",
"content": "well there has to be",
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"timestamp": "07/19/2022 05:40:15",
"content": "it's essentially the definition of ln",
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"timestamp": "07/19/2022 05:40:22",
"content": "or an equivalent definition",
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"author_name": "Deleted User",
"timestamp": "07/19/2022 05:40:51",
"content": "I’m just happy I know one thing xd",
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"timestamp": "07/19/2022 05:41:10",
"content": "The +1 on the denominator is messing me up bc I can just take out -2",
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"timestamp": "07/19/2022 05:41:39",
"content": "what is the derivative of ln(x+1) ?",
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"timestamp": "07/19/2022 05:42:44",
"content": "Ohh",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/19/2022 05:42:53",
"content": "Its 1/(x+1) right",
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},
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"id": 998887688453226500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 05:43:03",
"content": "please put correct brackets",
"attachments": [],
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},
{
"id": 998887704748118000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 05:43:07",
"content": "but yes",
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},
{
"id": 998887989365194800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/19/2022 05:44:15",
"content": "So this is the answer right?",
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{
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"id": 998888055085736000,
"author_id": 132304137583984640,
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"timestamp": "07/19/2022 05:44:30",
"content": "yes",
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},
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"id": 998888079265910800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/19/2022 05:44:36",
"content": "Okii",
"attachments": [],
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},
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"id": 998888096416411600,
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"author_name": "Deleted User",
"timestamp": "07/19/2022 05:44:40",
"content": "Thanks everyone :)",
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/19/2022 05:44:43",
"content": ".close",
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{
"id": 998888111557836800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 05:44:44",
"content": "Channel closed",
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}
] |
help-9
|
1773760249994160a7ce379e071ebec2
|
197,245 |
[
{
"id": 998888364990283900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 05:45:44",
"content": "Available help channel!",
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"reference": null
},
{
"id": 998889262554554400,
"author_id": 252911447653351420,
"author_name": "ilav",
"timestamp": "07/19/2022 05:49:18",
"content": "I've solved this different using subs \nu = x+1 \ndu/dx = 1 (the deriative)\ndu = dx\n\nand \n\nx = u-1",
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"content": "Pinned a message.",
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"timestamp": "07/19/2022 06:04:18",
"content": "@ilav Has your question been resolved?",
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}
] |
help-9
|
8c75583c9c884518bccb558b09e79ce8
|
197,246 |
[
{
"id": 998894173363122200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 06:08:49",
"content": "Available help channel!",
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"reference": null
},
{
"id": 998894691716190200,
"author_id": 745039444888780800,
"author_name": "Ibra",
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"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 06:10:53",
"content": "Pinned a message.",
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"id": 998894713052610600,
"author_id": 745039444888780800,
"author_name": "Ibra",
"timestamp": "07/19/2022 06:10:58",
"content": "@MarveI",
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"id": 998895025859612800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/19/2022 06:12:12",
"content": "i dont think the denominator is correct",
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},
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"id": 998895473572188300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/19/2022 06:13:59",
"content": "shouldnt it be sin A + cosAsinA",
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"id": 998895613460631700,
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"author_name": "Ibra",
"timestamp": "07/19/2022 06:14:32",
"content": "ur right",
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"id": 998895639037497300,
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"author_name": "Ibra",
"timestamp": "07/19/2022 06:14:38",
"content": "idk why I erased it",
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},
{
"id": 998896497196286000,
"author_id": 745039444888780800,
"author_name": "Ibra",
"timestamp": "07/19/2022 06:18:03",
"content": "yea it was pretty straightforward after that lol",
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"id": 998896554914095200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/19/2022 06:18:17",
"content": "ye",
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},
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"id": 998896566066749400,
"author_id": 745039444888780800,
"author_name": "Ibra",
"timestamp": "07/19/2022 06:18:19",
"content": "thanks lol",
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"id": 998896579396251600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/19/2022 06:18:23",
"content": "np",
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"timestamp": "07/19/2022 06:18:25",
"content": ".close",
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"timestamp": "07/19/2022 06:18:25",
"content": "Channel closed",
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}
] |
help-9
|
ebc6c8f014144ea29fc0e07d14703a38
|
197,247 |
[
{
"id": 998897221217034200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 06:20:56",
"content": "Available help channel!",
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},
{
"id": 998898172426473500,
"author_id": 582183741649190900,
"author_name": "Haltinsniperz",
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"content": "Pinned a message.",
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"author_id": 582183741649190900,
"author_name": "Haltinsniperz",
"timestamp": "07/19/2022 06:27:59",
"content": "question is uh",
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},
{
"id": 998899069114122200,
"author_id": 582183741649190900,
"author_name": "Haltinsniperz",
"timestamp": "07/19/2022 06:28:16",
"content": "Positive exponent from",
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},
{
"id": 998899138487910500,
"author_id": 582183741649190900,
"author_name": "Haltinsniperz",
"timestamp": "07/19/2022 06:28:33",
"content": "I got that from Google Translate so its probably wrong",
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},
{
"id": 998900408107937900,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "07/19/2022 06:33:35",
"content": "do you know $a^{-n} = \\frac{1}{a^n}$",
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},
{
"id": 998900417918415000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/19/2022 06:33:38",
"content": "**秋水**",
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"author_name": "Haltinsniperz",
"timestamp": "07/19/2022 06:37:23",
"content": "no",
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"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "07/19/2022 06:38:49",
"content": "you can think like this\n$$a^{-n} = a^{0-n}=\\frac{a^0}{a^n}=\\frac{1}{a^n}$$",
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"id": 998901735554814100,
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"timestamp": "07/19/2022 06:38:52",
"content": "**秋水**",
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"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "07/19/2022 06:40:19",
"content": "https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents/a/negative-exponents-review",
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"timestamp": "07/19/2022 06:42:06",
"content": "ohhhh",
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"content": ".close",
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"id": 998904712994758800,
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"content": "Channel closed",
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}
] |
help-9
|
39c4afe786014067b3a120522d8d3bf0
|
197,248 |
[
{
"id": 998926683056898000,
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"timestamp": "07/19/2022 08:18:00",
"content": "Available help channel!",
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},
{
"id": 998926969636925400,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/19/2022 08:19:08",
"content": "how would I figure out the new points for graph g from graph f",
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"id": 998927187812028500,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/19/2022 08:20:00",
"content": "i thought the differnce would be -1, so the new points would be 9,-4 but that does not seem to be the case",
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},
{
"id": 998927710212608000,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/19/2022 08:22:05",
"content": "would -2x be apllied to x cord and -1 to the y",
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},
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"id": 998927801090584600,
"author_id": 328612257032437760,
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"timestamp": "07/19/2022 08:22:26",
"content": "so id have -20,-4?",
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"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
d34256ca29af419db0cc2a722b665127
|
197,249 |
[
{
"id": 958961051888664600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 01:28:51",
"content": "Available help channel!",
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},
{
"id": 958961698281250800,
"author_id": 780584506674511900,
"author_name": "MyPieceOfThePi",
"timestamp": "03/31/2022 01:31:25",
"content": "I am confused. How would you find p(a+b<c) where all variables are randomly chosen between 0 and 1. I know I can use integrals, but the bounds are confusing. How do I constrain c?",
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"content": "Pinned a message.",
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{
"id": 958962979699843100,
"author_id": 780584506674511900,
"author_name": "MyPieceOfThePi",
"timestamp": "03/31/2022 01:36:31",
"content": "I know what shape it is, a pyramid with a right triangle base and sides, and one equilateral triangle face, but I don't know how to find the area of that.",
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},
{
"id": 958964769115738100,
"author_id": 780584506674511900,
"author_name": "MyPieceOfThePi",
"timestamp": "03/31/2022 01:43:37",
"content": "I figured it out geometrically the answer is 1/6, because you can create a cube with side lengths of 1 with four of the right triangle pyramids, and one regular tetrahedron with side lengths sqrt(2), but I still don't know how to solve it with integrals. Can you?",
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"timestamp": "03/31/2022 01:45:23",
"content": "@Helpers",
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},
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"timestamp": "03/31/2022 01:49:12",
"content": ".close",
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},
{
"id": 958966174715088900,
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}
] |
help-9
|
d02c0568dccf4215bc09f763430c7211
|
197,250 |
[
{
"id": 998929731544162400,
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 08:30:07",
"content": "Available help channel!",
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},
{
"id": 998930701841862700,
"author_id": 462338151751483400,
"author_name": "Ἐυρυπέος",
"timestamp": "07/19/2022 08:33:58",
"content": "What are these steps? I tried factoring y(sqr)-x(sqr) into (y+x)(x-y) and cancelling (x-y), but it does not get me to the answer. What am I missing?",
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"id": 998931784895057900,
"author_id": 797077265472290800,
"author_name": "MO",
"timestamp": "07/19/2022 08:38:16",
"content": "Hello",
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},
{
"id": 998931823352619100,
"author_id": 797077265472290800,
"author_name": "MO",
"timestamp": "07/19/2022 08:38:25",
"content": "It's your resident helper here",
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},
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"timestamp": "07/19/2022 08:38:28",
"content": "y^2 - x^2 = (y-x)(y+x) = -(x-y)(y+x).",
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"timestamp": "07/19/2022 08:38:41",
"content": "@Ἐυρυπέος",
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"content": "(x-y) is not equal to (y-x).",
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"id": 998932036909813800,
"author_id": 797077265472290800,
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"timestamp": "07/19/2022 08:39:16",
"content": "Yes Ben junior is right",
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"author_id": 462338151751483400,
"author_name": "Ἐυρυπέος",
"timestamp": "07/19/2022 08:39:56",
"content": "Oh I see. The -1 factored out will make them negatives. I also messed up the factors. Thanks a lot!",
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"timestamp": "07/19/2022 08:40:14",
"content": ".close",
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"timestamp": "07/19/2022 08:40:14",
"content": "Channel closed",
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}
] |
help-9
|
7260d837047d4ccaaaa0976c06e2a451
|
197,251 |
[
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"timestamp": "07/19/2022 08:44:01",
"content": "Available help channel!",
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},
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"timestamp": "07/19/2022 09:00:44",
"content": "I got stuck here.",
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"content": "@Prachi Has your question been resolved?",
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"content": "You used L'hopital?",
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},
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"author_id": 706934233012371600,
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"timestamp": "07/19/2022 09:23:58",
"content": "would've been better to go about it as: \\\\ $\\lim_{x \\to 0} \\frac{\\left(\\tan \\left( \\frac{\\pi}{4}+x \\right) \\right)^{\\frac{1}{x}} - e^2}{x^2} = \\lim_{x \\to 0} \\frac{\\left(\\frac{1 + \\tan x}{1 - \\tan x} \\right)^{\\frac{1}{x}} - e^2}{x^2}$",
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"timestamp": "07/19/2022 09:24:49",
"content": "**Arya**",
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"timestamp": "07/19/2022 09:25:58",
"content": "now you can transform the parenthesis part of the numerator as e^ln (...), take e^2 as common in the numerator and proceed",
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"content": "I'll get e^2",
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"timestamp": "07/19/2022 09:28:23",
"content": "Then it becomes 0/0 from",
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"timestamp": "07/19/2022 09:29:11",
"content": "Then I've no other option but to use lhospital",
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"id": 998946039090385000,
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"author_name": "its me",
"timestamp": "07/19/2022 09:34:55",
"content": "Who tf created this problem",
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"author_name": "its me",
"timestamp": "07/19/2022 09:35:02",
"content": "Also are you an indian",
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"timestamp": "07/19/2022 09:35:11",
"content": "Ikr. It came on a test a few days back",
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"timestamp": "07/19/2022 09:35:14",
"content": "huh?",
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"timestamp": "07/19/2022 09:35:17",
"content": "Yeah",
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"timestamp": "07/19/2022 09:35:46",
"content": "Your teacher just woke up that morning and chose violence",
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"timestamp": "07/19/2022 09:37:38",
"content": "$= \\lim_{x \\to 0} \\frac{e^{\\frac{\\ln(1 + \\tan x) - \\ln(1 - \\tan x)}{x}}- e^2}{x^2}$",
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"timestamp": "07/19/2022 09:38:25",
"content": "**Arya**",
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"timestamp": "07/19/2022 09:39:01",
"content": "$= \\lim_{x \\to 0} e^2 \\cdot \\frac{e^{\\frac{\\ln(1 + \\tan x) - \\ln(1 - \\tan x) - 2x}{x}}- 1}{x^2}$",
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"timestamp": "07/19/2022 09:39:03",
"content": "**Arya**",
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"id": 998947368504406100,
"author_id": 701351665596498000,
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"timestamp": "07/19/2022 09:40:12",
"content": "Ig this wouldnt help.",
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{
"id": 998947399764545700,
"author_id": 701351665596498000,
"author_name": "its me",
"timestamp": "07/19/2022 09:40:19",
"content": "But still posting because i can lol",
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"id": 998947511270113300,
"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:40:46",
"content": "Ah expansion.",
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},
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"id": 998947565473124500,
"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:40:59",
"content": "Woah",
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},
{
"id": 998947583412158600,
"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:41:03",
"content": "Maybe i got an idea",
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},
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"id": 998947742976049200,
"author_id": 701351665596498000,
"author_name": "its me",
"timestamp": "07/19/2022 09:41:41",
"content": "Tf us this step.\nHow did u factor out e²",
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"timestamp": "07/19/2022 09:42:03",
"content": "L hospital 🌝",
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},
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"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:42:19",
"content": "But then the expression becomes enormous",
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"id": 998948592867885000,
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"author_name": "its me",
"timestamp": "07/19/2022 09:45:04",
"content": "Yes. I too tried lh and 2nd order derivative would be awful and painful.\nThats why i thought of series expansion. But that too is equally awful",
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"id": 998948683330617300,
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"timestamp": "07/19/2022 09:45:25",
"content": "T_T",
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"id": 998948755581714400,
"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:45:42",
"content": "My math teacher is no good too",
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"id": 998948799890342000,
"author_id": 833305315574808600,
"author_name": "Prachi",
"timestamp": "07/19/2022 09:45:53",
"content": "He told me to differentiate it twice myself",
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"id": 998949921854075000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "07/19/2022 09:50:20",
"content": "for unfortunate reasons I keep getting 2/3 e² :catThin4K:",
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},
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"id": 998950281834397700,
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"id": 998950311827869700,
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"timestamp": "07/19/2022 09:51:53",
"content": "Why unfortunate",
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"author_name": "Ansh_",
"timestamp": "07/19/2022 09:52:47",
"content": "cuz it should'a been 4/3 e² instead",
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"id": 998950582272397400,
"author_id": 701351665596498000,
"author_name": "its me",
"timestamp": "07/19/2022 09:52:58",
"content": "How did u know",
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"timestamp": "07/19/2022 09:53:30",
"content": "checked my ans with the calc",
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"content": "Questions like these are the reason why i lost hope on jee adv",
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"content": "@Prachi Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
c7bb29ef4dca4da0b3996b4d843932bc
|
197,252 |
[
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"timestamp": "07/19/2022 10:57:37",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "07/19/2022 11:05:32",
"content": "club the two pairs of terms together",
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"author_name": "Ansh_",
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"content": "take the common terms aside from both pairs first and use cos² x - sin² x = cos(2x)",
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"timestamp": "07/19/2022 11:18:06",
"content": "@Atk_ghostジ Has your question been resolved?",
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"timestamp": "07/19/2022 11:33:06",
"content": "Channel closed",
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}
] |
help-9
|
f32041c563ea43b3ace81a9b815a48a1
|
197,253 |
[
{
"id": 998976034873548900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 11:34:06",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 998979425263685800,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:47:35",
"content": "→ Graphical solving of a differential equation The differential equation f'(x)=x²-2 f(x) should be graphically solved. For a point P(x|y) on the graph a solution function f then f'(x)=x²-2y, i.e. H. the tangent on the graphs at this point, the slope is x² - 2y. Pick multiple points, find the slope of the function graph and draw a small piece of the corresponding tangent, like the one in the graphic on the right was stated. Then formulate a conjecture for the solve functions and carry out a rehearsal.",
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"timestamp": "07/19/2022 11:47:35",
"content": "Pinned a message.",
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"timestamp": "07/19/2022 11:47:39",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/998979442011553893/20220719_174523.jpg",
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"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:47:55",
"content": "how do i solve this",
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},
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"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:50:03",
"content": "i know how to draw the graph but i dont know how to find out the function",
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},
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"id": 998980468240285800,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:51:43",
"content": "do i just say \"its a function of the third degree and then take 3 points and calculate the function or is there a better faster way",
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},
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"id": 998980793881862300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:53:01",
"content": "well you could certainly say that but it would be wrong",
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"id": 998980858474156200,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:53:16",
"content": "why",
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"id": 998980963575025700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:53:41",
"content": "because the solution is not a cubic",
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"id": 998981003903242200,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:53:51",
"content": "how do you know",
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},
{
"id": 998981135038169100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:54:22",
"content": "well does the graph look like a cubic?",
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},
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"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:54:55",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/998981273680887868/Unbekannt.png",
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"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:55:23",
"content": "move it up a bit",
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},
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"id": 998981581853163600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:56:09",
"content": "so you're just guessing that to the slope field will go down again on the left but the image is just too small?",
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"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:57:07",
"content": "yes scince your supposed to solve it graphicaly i dont expect it to go up again",
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},
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"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:57:13",
"content": "since",
"attachments": [],
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},
{
"id": 998982125866975400,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 11:58:18",
"content": "but i dont know im just guessing",
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},
{
"id": 998982151909429400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:58:25",
"content": "https://i.imgur.com/T235kwd.png",
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},
{
"id": 998982183739998300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:58:32",
"content": "do you not think that this looks like a quadratic",
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},
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"id": 998982331157192800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 11:59:07",
"content": "+ some error term maybe",
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},
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"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:00:13",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/998982603312992457/20220719_180009.jpg",
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"timestamp": "07/19/2022 12:00:40",
"content": "if it was a quadratic i would expect it to look like that",
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},
{
"id": 998982769810092000,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:00:52",
"content": "but the bottom left part is bothering me",
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},
{
"id": 998982995664969700,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:01:46",
"content": "it looks to me like it will go down again on the lef",
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},
{
"id": 998983018125459600,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:01:51",
"content": "t",
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},
{
"id": 998983422582194300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 12:03:28",
"content": "prob a cubic",
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},
{
"id": 998983434116534400,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "07/19/2022 12:03:30",
"content": "Mh, there are two points there where we have tangents that are completely horizontal, I’d guess cubic too tbh",
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},
{
"id": 998983633501167700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 12:04:18",
"content": "I guess if anything this highlights that graphical approaches are shit",
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},
{
"id": 998983829559726200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 12:05:05",
"content": "for x>0 it's a quadratic plus a small error",
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},
{
"id": 998983909356359800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 12:05:24",
"content": "for x<0 it's a quadratic with a much bigger \"error\" which distorts it",
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},
{
"id": 998983972749066200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 12:05:39",
"content": "try solving the homogeneous solution analytically",
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},
{
"id": 998984108292194400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/19/2022 12:06:11",
"content": "i.e. f'(x)+2f(x)=0",
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},
{
"id": 998984192941641900,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:06:31",
"content": "might try that",
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},
{
"id": 998984356053909600,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:07:10",
"content": "but i think im gona solve it using the assumption that its a cubic",
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},
{
"id": 998984382419321000,
"author_id": 838773920349946000,
"author_name": "ghostkiller8804",
"timestamp": "07/19/2022 12:07:17",
"content": ".close",
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},
{
"id": 998984383987990700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 12:07:17",
"content": "Channel closed",
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}
] |
help-9
|
96bb9431976a49e3bf42a2fa1e82aa19
|
197,254 |
[
{
"id": 998993207541104600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 12:42:21",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 998997024361955300,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 12:57:31",
"content": "Can anyone help me? I'm stuck right here and don't know what to do",
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{
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"timestamp": "07/19/2022 12:57:31",
"content": "Pinned a message.",
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"id": 998997255367426200,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 12:58:26",
"content": "the teacher told me not to use l'hopital",
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},
{
"id": 998997408954454000,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 12:59:02",
"content": "i already try other ways and still didn't find the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998998001643167900,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/19/2022 13:01:24",
"content": "so you probably did something wrong",
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},
{
"id": 998998184829386800,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 13:02:07",
"content": "you could try half angle identities",
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"id": 998998201719861400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 13:02:11",
"content": "do you know what those are?",
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},
{
"id": 998998227217043600,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 13:02:17",
"content": "yes i know",
"attachments": [],
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},
{
"id": 998998295663882200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 13:02:34",
"content": "try them on some of the terms in the denominator",
"attachments": [],
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"reference": null
},
{
"id": 998998803115954300,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 13:04:35",
"content": "i don't understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 998999425215119500,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 13:07:03",
"content": "it doesn't change anything",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999002182844166100,
"author_id": 513307984546234400,
"author_name": "kent",
"timestamp": "07/19/2022 13:18:00",
"content": "@Helpers",
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},
{
"id": 999005958615339100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 13:33:01",
"content": "@kent Has your question been resolved?",
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"id": 999007147784405100,
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"author_name": "riemann",
"timestamp": "07/19/2022 13:37:44",
"content": "show your work when you applied l'hopital",
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 13:48:01",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
87b9f7f0391d4ae9ba2b11e42448ff0b
|
197,255 |
[
{
"id": 999009987844128900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 13:49:01",
"content": "Available help channel!",
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},
{
"id": 999017927170855000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 14:20:34",
"content": "Pinned a message.",
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"messageId": 999017924360667100,
"channelId": 486844875632017400,
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"id": 999017969017422000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "07/19/2022 14:20:44",
"content": "oh",
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},
{
"id": 999017981495484500,
"author_id": 805217272087838700,
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"timestamp": "07/19/2022 14:20:47",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
215f51a73d67434a8c81acffaecdd96e
|
197,256 |
[
{
"id": 999019931515490400,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "07/19/2022 14:28:32",
"content": ".close",
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},
{
"id": 999020086486642800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/19/2022 14:29:09",
"content": "close bot is slow.",
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},
{
"id": 999020454566187000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 14:30:37",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 999024350432862300,
"author_id": 699570047831769200,
"author_name": "🧧☄",
"timestamp": "07/19/2022 14:46:06",
"content": "Do I suppose to learn Vectors before matrix?",
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},
{
"id": 999024352051863700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 14:46:06",
"content": "Pinned a message.",
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{
"id": 999024678528106500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/19/2022 14:47:24",
"content": "uhh I don’t believe that matters, they’re quite different things",
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},
{
"id": 999024784186810500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/19/2022 14:47:49",
"content": "They're kinda related tbf",
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},
{
"id": 999024939673849900,
"author_id": 699570047831769200,
"author_name": "🧧☄",
"timestamp": "07/19/2022 14:48:26",
"content": "tbf?",
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},
{
"id": 999025017968934900,
"author_id": 400065869134168060,
"author_name": "Ruffy🎄",
"timestamp": "07/19/2022 14:48:45",
"content": "to be fair",
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},
{
"id": 999025078379479000,
"author_id": 400065869134168060,
"author_name": "Ruffy🎄",
"timestamp": "07/19/2022 14:48:59",
"content": "a vector can be represented by a matrix",
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},
{
"id": 999025107202748500,
"author_id": 400065869134168060,
"author_name": "Ruffy🎄",
"timestamp": "07/19/2022 14:49:06",
"content": "I learned about vectors before a matrix",
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},
{
"id": 999025150324387800,
"author_id": 400065869134168060,
"author_name": "Ruffy🎄",
"timestamp": "07/19/2022 14:49:16",
"content": "but not really detailed",
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},
{
"id": 999025211049509000,
"author_id": 400065869134168060,
"author_name": "Ruffy🎄",
"timestamp": "07/19/2022 14:49:31",
"content": "then the next year I learned matrices",
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},
{
"id": 999025260269682800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/19/2022 14:49:43",
"content": "Matrices can be seen as transformations of vectors as well",
"attachments": [],
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},
{
"id": 999025279861280900,
"author_id": 914890194119979100,
"author_name": "EvanChiller",
"timestamp": "07/19/2022 14:49:47",
"content": "Hello",
"attachments": [],
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},
{
"id": 999025310362243200,
"author_id": 914890194119979100,
"author_name": "EvanChiller",
"timestamp": "07/19/2022 14:49:54",
"content": "I have a question",
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},
{
"id": 999025337235157100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/19/2022 14:50:01",
"content": "#❓how-to-get-help",
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},
{
"id": 999025361977364600,
"author_id": 914890194119979100,
"author_name": "EvanChiller",
"timestamp": "07/19/2022 14:50:07",
"content": "Ty",
"attachments": [],
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},
{
"id": 999025440561828000,
"author_id": 699570047831769200,
"author_name": "🧧☄",
"timestamp": "07/19/2022 14:50:26",
"content": "yea that's the part that provoke me to ask if it's necessary to learn vectors before matrix",
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"id": 999025717352353800,
"author_id": 699570047831769200,
"author_name": "🧧☄",
"timestamp": "07/19/2022 14:51:32",
"content": "thanks for answering hope you have all a good day",
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"id": 999025746519539700,
"author_id": 699570047831769200,
"author_name": "🧧☄",
"timestamp": "07/19/2022 14:51:38",
"content": ".close",
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"id": 999025750277623800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 14:51:39",
"content": "Channel closed",
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}
] |
help-9
|
560c622b346444548e964cdb518c4c87
|
197,257 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 14:56:08",
"content": "Available help channel!",
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"id": 999027428972302300,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 14:58:20",
"content": "52...where did i went wrong?",
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"timestamp": "07/19/2022 14:58:20",
"content": "Pinned a message.",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:00:25",
"content": "2nd line of working $-\\alpha^2 \\neq (-\\alpha)^2$",
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},
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"id": 999027969165103200,
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"author_name": "TeXit",
"timestamp": "07/19/2022 15:00:28",
"content": "**ΣAC**",
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"author_name": "giannis_money",
"timestamp": "07/19/2022 15:01:23",
"content": "Haha nice pfp",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:02:14",
"content": "But both values will be same right?",
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"author_name": "iCaird",
"timestamp": "07/19/2022 15:02:30",
"content": "What exactly are you claiming are the same?",
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"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:04:08",
"content": "Lets say alpha is 2\nThen -2^2 = (-2)^2 = 4,right?\nLets say alpha is -2\nThen -(-2)^2= (-(-2))^2=4",
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"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:04:15",
"content": "Sorry my math is weak",
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"id": 999028980952875000,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:04:30",
"content": "So if i went wrong dont get cold on me💀",
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"id": 999029728822448300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:07:28",
"content": "-2² = -1*2²=-4",
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"id": 999029793154666600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:07:43",
"content": "(-2)²=(-2)*(-2)=4",
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"id": 999029830622392300,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:07:52",
"content": "But the final value is same na",
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"id": 999029846623658100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:07:56",
"content": "Typo",
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"id": 999029863023398900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:08:00",
"content": "Corrected first one",
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"id": 999029989662003300,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:08:30",
"content": "Oh yeah",
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"id": 999030007672357000,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:08:34",
"content": "Thnx",
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"id": 999030023350665200,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:08:38",
"content": "So what should i do",
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"id": 999031564748992600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:14:46",
"content": "Difference of two squares the numerator @ຕKຕaబrຕlబMຕaబrຕx益;)",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:15:22",
"content": "U mean (b-a) (b+a)?",
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"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:15:39",
"content": "Hmm that would work",
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"id": 999031806240243800,
"author_id": 718877974299934800,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "07/19/2022 15:15:43",
"content": "Alr! Thnx",
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"id": 999031853103194200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/19/2022 15:15:54",
"content": "Yes",
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 15:30:44",
"content": "@ຕKຕaబrຕlబMຕaబrຕx益;) Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 15:31:11",
"content": "Channel closed",
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}
] |
help-9
|
c5b35e4b0c8a4d8b92112e9e51d0ee1d
|
197,258 |
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"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_name": "ScapeProf",
"timestamp": "07/19/2022 15:46:15",
"content": "Post your question and not a screenshot of you asking",
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},
{
"id": 999039710930411600,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "07/19/2022 15:47:08",
"content": "Go through the effort of helping us help you.",
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},
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"id": 999039737077694500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "07/19/2022 15:47:14",
"content": "@Marialysssr",
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"author_name": "ScapeProf",
"timestamp": "07/19/2022 15:48:23",
"content": "Seeing how there isn’t an arrow at -4 indicating if function is actually defined at values below -4 its unclear if it is",
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},
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"id": 999041287393132700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 15:53:24",
"content": "@Marialysssr Has your question been resolved?",
"attachments": [],
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"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:07:18",
"content": "",
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"id": 999044791822209000,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:07:19",
"content": "I need to find everything from this graphic",
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"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:07:28",
"content": "I have the Domain= R- (2)\nx->2+ F(x)-infinite\nx->2- F(x)+infinite\nVertical asymptote is x=2\nThen I also have the zeros x=-3 x=0 x=3\nAlso the sign is",
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"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:07:32",
"content": "",
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"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:07:47",
"content": "And I also have this\nx-> +infinite F(x)0+\nI don't know how to describe when\nx->-infinite\nand I think the vertical asymptote is y=0\nI also don't know how to describe this part",
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"author_name": "Marialysssr",
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"content": "",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/19/2022 16:12:01",
"content": ".",
"attachments": [],
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},
{
"id": 999046151087071200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/19/2022 16:12:43",
"content": "There isn’t anything to describe at that arrow?",
"attachments": [],
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},
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"id": 999046389264810100,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:13:40",
"content": "I don’t think so",
"attachments": [],
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},
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"id": 999046528201146500,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:14:13",
"content": "Is the rest I have ok?",
"attachments": [],
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},
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"id": 999047112908087400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/19/2022 16:16:33",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999047391275647000,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:17:39",
"content": "Ok",
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},
{
"id": 999054017466474500,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "07/19/2022 16:43:59",
"content": ".close",
"attachments": [],
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},
{
"id": 999054019500724400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 16:43:59",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
10e465928b6d40f79826b6b6f6519d80
|
197,259 |
[
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"id": 999054272937345200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 16:45:00",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 999056396123381900,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 16:53:26",
"content": "https://media.discordapp.net/attachments/786284658035261500/999054493629042688/unknown.png",
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{
"id": 999056399785005200,
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"timestamp": "07/19/2022 16:53:27",
"content": "Pinned a message.",
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 16:53:39",
"content": "can I have some help pls",
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},
{
"id": 999057213526118500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 16:56:41",
"content": "The area of the 5-12-13 triangle is 5*12/2=30",
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},
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"id": 999057391033258100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 16:57:23",
"content": "Similar triangles mean that each side is scaled down by the same constant",
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},
{
"id": 999057491264544900,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 16:57:47",
"content": "So we have a 5k.12k.13k triangle for some constant k",
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},
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"timestamp": "07/19/2022 17:03:39",
"content": "hmmm",
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},
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"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:04:16",
"content": "im confused",
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},
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"id": 999059180482744600,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:04:30",
"content": "how would this find the hypotenuse?",
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{
"id": 999059182290481300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:04:30",
"content": "We want to find this constant k",
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},
{
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:04:34",
"content": "mk",
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},
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"id": 999059223415619600,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:04:40",
"content": "right",
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"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:04:45",
"content": "Once we find k we can just multiply it by 13 to find the hypotenuse",
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"timestamp": "07/19/2022 17:04:56",
"content": "oh",
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"id": 999059328260645000,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:05:05",
"content": "Because the hypotenuse of the original triangle is scaled by k to get the similar triangles hypotenuse",
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"timestamp": "07/19/2022 17:05:33",
"content": "The area of any triangle is it’s base times its height",
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"timestamp": "07/19/2022 17:05:51",
"content": "Divided by two",
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:06:21",
"content": "?",
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:06:23",
"content": "why deleted",
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:06:39",
"content": "hmmm",
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:06:58",
"content": "so, multiply 5, 12, and 13, then divide by two?",
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"id": 999059828892774500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:07:04",
"content": "No",
"attachments": [],
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},
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"id": 999059871758569600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:07:15",
"content": "Find the base and the height of our similar triangle in terms of k",
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},
{
"id": 999059901533913100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:07:22",
"content": "Then substitute them into our formula",
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},
{
"id": 999059944991100900,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:07:32",
"content": "And then use the given info in the question to solve for k",
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},
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"id": 999060059294281900,
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:07:59",
"content": "mk",
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},
{
"id": 999060076604170400,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:03",
"content": "soooo",
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},
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"id": 999060097072386200,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:08",
"content": "270",
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},
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"id": 999060160720929000,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:23",
"content": "divided by two, then factor out three numbers out of 270?",
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},
{
"id": 999060195110031500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:08:32",
"content": "Why",
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},
{
"id": 999060220623978500,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:38",
"content": "wait no",
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},
{
"id": 999060232997195900,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:41",
"content": "just divide",
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},
{
"id": 999060241805221900,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:08:43",
"content": "When we know that 12k and 5k are the base and height",
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},
{
"id": 999060243709440100,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:08:43",
"content": "then sub?",
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},
{
"id": 999060322780454900,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:09:02",
"content": "The area of the triangle will be 12k*5k/2",
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},
{
"id": 999060379932041200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:09:16",
"content": "Because 12k and 5k have to be the two legs of the right triangle",
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},
{
"id": 999060404032503800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:09:21",
"content": "Because 13k is the hypotenuse",
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},
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"id": 999060499486478300,
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:09:44",
"content": "hmm",
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},
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"id": 999060584123347100,
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:10:04",
"content": "when does the subbing take place?",
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},
{
"id": 999060720182374400,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:10:37",
"content": "What do you mean",
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},
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"id": 999060842677010600,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:11:06",
"content": "you said we substitute",
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},
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"id": 999060892836700300,
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:11:18",
"content": "here",
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"id": 999060973577056400,
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"author_name": "Tarek Ahmed",
"timestamp": "07/19/2022 17:11:37",
"content": "Bruh this was the substituting",
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},
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"id": 999061054581641200,
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"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:11:57",
"content": "ohhhh",
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},
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"id": 999061074261315600,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:12:01",
"content": "mkkkk",
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},
{
"id": 999061293560512600,
"author_id": 500870725234589700,
"author_name": "☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆",
"timestamp": "07/19/2022 17:12:54",
"content": "so after that, i divide both areas to find the constant?",
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},
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"id": 999065069612695700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 17:27:54",
"content": "@☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆ Has your question been resolved?",
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"timestamp": "07/19/2022 17:58:49",
"content": "@☆𝕂𝖎𝖓𝖌ℤ𝖎𝖔𝖓𝟚𝟞☆ Has your question been resolved?",
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"timestamp": "07/19/2022 18:02:58",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f52c45dd5fc44135b8bc9a20e3f131e9
|
197,260 |
[
{
"id": 958996705045532700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "03/31/2022 03:50:31",
"content": "that equals zero, try look for cancellations? if not the numeration = 0 when denominator is NOT zero",
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 03:50:32",
"content": "Pinned a message.",
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"id": 958996731125698600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "03/31/2022 03:50:37",
"content": ".close",
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},
{
"id": 958996732585336800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 03:50:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
972e4094be074b5cafaa46c0e8ea081c
|
197,261 |
[
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"id": 999088538660376700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 19:01:09",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999090911680151600,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:10:35",
"content": "",
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"content": "Pinned a message.",
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}
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"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/19/2022 19:12:15",
"content": "Factor by slide divide",
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"author_id": 341429695012929540,
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"timestamp": "07/19/2022 19:12:24",
"content": "Can you show me?",
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"id": 999091436576325800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/19/2022 19:12:40",
"content": "I’m not sure how to explain it",
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{
"id": 999091450157486100,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/19/2022 19:12:43",
"content": "You can look it up",
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},
{
"id": 999091457317154800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/19/2022 19:12:45",
"content": "However",
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},
{
"id": 999091610593808500,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:13:22",
"content": "Um okay lol",
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},
{
"id": 999091640511766500,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:13:29",
"content": "Can you at least show me how to solve it",
"attachments": [],
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},
{
"id": 999092228741939300,
"author_id": 716818280920121500,
"author_name": "TsunamiFyre",
"timestamp": "07/19/2022 19:15:49",
"content": "I forgot the word for this lol, but maybe put it into the square root of b^2-4ac and then solve for real numbers excluding 0",
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"id": 999092322237153400,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:16:11",
"content": "Ohh the quadatri formula?",
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"id": 999092349357543400,
"author_id": 716818280920121500,
"author_name": "TsunamiFyre",
"timestamp": "07/19/2022 19:16:18",
"content": "Yeah",
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"id": 999092465673982100,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:16:46",
"content": "Okay thanks",
"attachments": [],
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},
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"id": 999092521856667800,
"author_id": 716818280920121500,
"author_name": "TsunamiFyre",
"timestamp": "07/19/2022 19:16:59",
"content": "I don’t know if that would work lol but it’s what I’d try",
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"id": 999092629893566500,
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"timestamp": "07/19/2022 19:17:25",
"content": "Okay",
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},
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"id": 999093188474179600,
"author_id": 341429695012929540,
"author_name": "lily",
"timestamp": "07/19/2022 19:19:38",
"content": ".close",
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},
{
"id": 999093189917032600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 19:19:38",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
281b49f11a804f88808f83431ee616ef
|
197,262 |
[
{
"id": 999093442963570700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 19:20:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999097852372455400,
"author_id": 240512720200400900,
"author_name": "Aranea",
"timestamp": "07/19/2022 19:38:10",
"content": "$$Test$$ $$Test2$$ $Test3$ $Test4 $Test 5 Test6$",
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"reference": null
},
{
"id": 999097854402498700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 19:38:10",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 999097852372455400,
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"id": 999097864196210700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/19/2022 19:38:13",
"content": "**Aranea**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/999097864372359168/240512720200400896.png",
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"id": 999097976372858900,
"author_id": 240512720200400900,
"author_name": "Aranea",
"timestamp": "07/19/2022 19:38:39",
"content": "$\\$\\Test$",
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"reference": null
},
{
"id": 999097987278053400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/19/2022 19:38:42",
"content": "**Aranea**\n```latex\n$\\$\\Test$\n```Compilation error:```! Undefined control sequence.\nl.57 $\\$\\Test\n $\nThe control sequence at the end of the top line\nof your error message was never \\def'ed. If you have\nmisspelled it (e.g., `\\hobx'), type `I' and the correct\nspelling (e.g., `I\\hbox'). Otherwise just continue,\nand I'll forget about whatever was undefined.\n\nPreview: Tightpage -1310720 -1310720 1310720 1310720\n[1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]```",
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{
"id": 999098615035342800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/19/2022 19:41:12",
"content": "Try using #latex-testing",
"attachments": [],
"mentions": [
{
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"name": "Aranea",
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{
"id": 999098675076796400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/19/2022 19:41:26",
"content": "And we also have #latex-help",
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},
{
"id": 999101237666512900,
"author_id": 240512720200400900,
"author_name": "Aranea",
"timestamp": "07/19/2022 19:51:37",
"content": "is it not allowed in here? usually latex-channels are not visited as frequently",
"attachments": [],
"mentions": [
{
"id": 531535537362829300,
"name": "Eric Tao",
"discriminator": "5735",
"nickname": "tietzeric extension (he)",
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],
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},
{
"id": 999101956838670500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/19/2022 19:54:28",
"content": "Because latex channels are for testing",
"attachments": [],
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"nickname": "Aranea",
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"id": 999102883435913200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/19/2022 19:58:09",
"content": "You should close this channel",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:06:37",
"content": "@Aranea Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:12:48",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ec89d1f7626b4a16bf76420b9c7c2a6e
|
197,263 |
[
{
"id": 999106822092894200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:13:48",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999108449663189100,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:20:16",
"content": "y varies directly as the square of r. if y=128 r=8 find y when r=4",
"attachments": [],
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},
{
"id": 999108453941391400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:20:17",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
},
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"id": 999108572766027800,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:20:46",
"content": "Can smo help with steps pls",
"attachments": [],
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},
{
"id": 999108984151752700,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:22:24",
"content": "So your setup is that y is proportional to r^2, right?",
"attachments": [],
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},
{
"id": 999109089789497300,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:22:49",
"content": "What this means is that there is some number, let's call it k, that doesn't change, and y = kr^2",
"attachments": [],
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},
{
"id": 999109157301014500,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:05",
"content": "So if we know k, then we're done, right?",
"attachments": [],
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},
{
"id": 999109203065045100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:16",
"content": "We know that when r = 8, y = 128",
"attachments": [],
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},
{
"id": 999109205225111600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:23:17",
"content": "Yes?",
"attachments": [],
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},
{
"id": 999109228390260700,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:23:22",
"content": "Yes",
"attachments": [],
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},
{
"id": 999109240134303700,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:25",
"content": "So let's put that into our equation",
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},
{
"id": 999109266730405900,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:31",
"content": "128 = k * 8^2",
"attachments": [],
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},
{
"id": 999109283071406100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:35",
"content": "I know 8^2 = 64",
"attachments": [],
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},
{
"id": 999109307750678500,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:41",
"content": "so we get 128 = k * 64",
"attachments": [],
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},
{
"id": 999109335286288400,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:23:48",
"content": "Divide both sides",
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},
{
"id": 999109341707771900,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:49",
"content": "So if I'm not wrong, k = 2, right?",
"attachments": [],
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},
{
"id": 999109353699279000,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:52",
"content": "Yeah!",
"attachments": [],
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},
{
"id": 999109357876809900,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:23:53",
"content": "Yes",
"attachments": [],
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},
{
"id": 999109377682317400,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:23:58",
"content": "Ok brilliant",
"attachments": [],
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},
{
"id": 999109380454760600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:23:58",
"content": "Ok",
"attachments": [],
"mentions": [],
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},
{
"id": 999109479192875100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:24:22",
"content": "So we know that k doesn't change, this is what it means when we say that y varies directly with r^2",
"attachments": [],
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},
{
"id": 999109508817223800,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:24:29",
"content": "So we know now that y = 2r^2",
"attachments": [],
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},
{
"id": 999109542048698400,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:24:37",
"content": "Ok",
"attachments": [],
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},
{
"id": 999109573380157600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:24:44",
"content": "2(4)^2",
"attachments": [],
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},
{
"id": 999109576546844800,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:24:45",
"content": "So now you should be able to figure out what y is when r = 4",
"attachments": [],
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},
{
"id": 999109592061595800,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:24:49",
"content": "Yeah!",
"attachments": [],
"mentions": [],
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},
{
"id": 999109622176678000,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:24:56",
"content": "Should be 32?",
"attachments": [],
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},
{
"id": 999109638563844100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:00",
"content": "I think so",
"attachments": [],
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},
{
"id": 999109654867091600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:25:04",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999109677692489700,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:25:09",
"content": "Thanks for your help 😆",
"attachments": [],
"mentions": [],
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},
{
"id": 999109708436738000,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:17",
"content": "There is another way of doing this though, would you like to know?",
"attachments": [],
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},
{
"id": 999109719056732300,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:19",
"content": "It is a bit quicker",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999109732075843600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:25:22",
"content": "Sure",
"attachments": [],
"mentions": [],
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},
{
"id": 999109774937432000,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:32",
"content": "We can do this without figuring out k.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999109834773385200,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:47",
"content": "Since we know that 128 = k*8^2",
"attachments": [],
"mentions": [],
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},
{
"id": 999109853052141600,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:51",
"content": "Note that 4 = 8/2",
"attachments": [],
"mentions": [],
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},
{
"id": 999109879472070700,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:25:57",
"content": "so 4^2 = 8^2 / 2^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999109923105427600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:08",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999109948644536300,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:26:14",
"content": "so we have k* 4^2 = 128/4 = 32",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110003925459100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:26:27",
"content": "Do you see that I didn't have to work out what k was there?",
"attachments": [],
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"reference": null
},
{
"id": 999110036972380200,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:35",
"content": "Ahhh",
"attachments": [],
"mentions": [],
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},
{
"id": 999110053044961400,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:26:39",
"content": "Nice huh!",
"attachments": [],
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},
{
"id": 999110065858551900,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:42",
"content": "Ok I’ll die that next time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110079972376700,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:45",
"content": "So much easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110092530127000,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:48",
"content": "Thanks!",
"attachments": [],
"mentions": [],
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},
{
"id": 999110100033740900,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:26:50",
"content": "Yeah it's a nice trick",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110108254585100,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/19/2022 20:26:52",
"content": "No problem!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110125740638300,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "07/19/2022 20:26:56",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999110128043299000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:26:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
39d03c1dd7744ce18bb96a0b64640b65
|
197,264 |
[
{
"id": 999110978107089000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:30:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999111565095739400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:32:39",
"content": "",
"attachments": [
{
"id": 999111563673870500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/999111563673870406/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 10572
},
{
"id": 999111563963281400,
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}
],
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{
"id": 999111567285166100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:32:40",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 999111565095739400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 999111619961434100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:32:52",
"content": "Hello Im not surw how to use this formua to find variance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999111689091944600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:33:09",
"content": "",
"attachments": [
{
"id": 999111688412483700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/999111688412483675/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 7839
}
],
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},
{
"id": 999111805743923300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:33:37",
"content": "do u know which one is variance",
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},
{
"id": 999111882399035400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:33:55",
"content": "wym",
"attachments": [],
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}
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},
{
"id": 999111944462143600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:34:10",
"content": "isolate the variance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999111954973073500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:34:12",
"content": "to solve for it",
"attachments": [],
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},
{
"id": 999112185177456800,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:35:07",
"content": "take the square root of both sides",
"attachments": [],
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},
{
"id": 999112264214913000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:35:26",
"content": "are you having trouble wtih where to plug in everything",
"attachments": [],
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},
{
"id": 999112267381608600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:35:27",
"content": "but where do the numbers go",
"attachments": [],
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},
{
"id": 999112297282805900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:35:34",
"content": "yeea",
"attachments": [],
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},
{
"id": 999112338047246300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:35:44",
"content": "the x with a line on top is the mean",
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},
{
"id": 999112485481230500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:36:19",
"content": "x1, x2, x3 ..... are just the values in the first pic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112528770646100,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:36:29",
"content": "and n is the number of values in the first pic",
"attachments": [],
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},
{
"id": 999112586308096000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:36:43",
"content": "do i ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112834619277400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:37:42",
"content": "for",
"attachments": [],
"mentions": [
{
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"name": "FructosePear",
"discriminator": "1985",
"nickname": "FructosePear",
"isBot": false
}
],
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},
{
"id": 999112852893880300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:37:46",
"content": "the last parenethsis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112868144365700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:37:50",
"content": "what do i put in for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112870841307100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:37:51",
"content": "xn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112913124081700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:38:01",
"content": "well whats xn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112937199390700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:38:06",
"content": "whats the nth value in the first pic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112956082143400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:38:11",
"content": "aka the last value in the first pic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999112999971344400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:38:21",
"content": "21",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113235179520000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:39:17",
"content": "so",
"attachments": [],
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"name": "FructosePear",
"discriminator": "1985",
"nickname": "FructosePear",
"isBot": false
}
],
"reference": null
},
{
"id": 999113254221652100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:39:22",
"content": "what do i do after i add",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113268964630700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:39:25",
"content": "all the numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113541388869600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:40:30",
"content": "or wait im confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113715347640400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:41:12",
"content": "look at the formula XD",
"attachments": [],
"mentions": [],
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},
{
"id": 999113745374662700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:41:19",
"content": "u add the squares of the differences",
"attachments": [],
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},
{
"id": 999113762319634400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:41:23",
"content": "then you divide by n-1",
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},
{
"id": 999113800349397100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:41:32",
"content": "so i add",
"attachments": [],
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}
],
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},
{
"id": 999113848768446600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:41:44",
"content": "and that will give you the variance **squared**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113919891247100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:42:01",
"content": "(20-18.25)^2+(19-18.25)^2+(21-18.25)^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113928372146200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:42:03",
"content": "like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999113935863156700,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:42:04",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114042717253800,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:42:30",
"content": "what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114080793137200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:42:39",
"content": "for adding the",
"attachments": [],
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}
],
"reference": null
},
{
"id": 999114084383477800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:42:40",
"content": "numerator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114102494462100,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:42:44",
"content": "what happened to all the values in the middle XD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114147654549500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:42:55",
"content": "the ... means you have to do it for all the values",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114169699795100,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:00",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114208971083900,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:10",
"content": "thats so much work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114214570475600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:11",
"content": "bruh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114222573195300,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:13",
"content": "XD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114236326322300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:43:16",
"content": "its just that theyre too lazy to write (x3 - x)^2 and so on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114254361833500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:43:20",
"content": "i know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114298410401900,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:43:31",
"content": "statistics moment",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114335634849800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:40",
"content": "yea",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114355293565000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:44",
"content": "im in alegbra 2 rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114370384670800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:48",
"content": "i cant imagine stats then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114384645304400,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:43:51",
"content": "😭",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114547392696300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:44:30",
"content": "this is algebra 2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114555143749600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:44:32",
"content": "damn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114633048772600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:44:51",
"content": "i finished calc 2 and havent learned anything about statistics except for this specific formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114798899921000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:45:30",
"content": "yea",
"attachments": [],
"mentions": [
{
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"name": "FructosePear",
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"nickname": "FructosePear",
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}
],
"reference": null
},
{
"id": 999114806533554200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:45:32",
"content": "LOL",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999114997949014000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:46:18",
"content": "damn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115056002383900,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/19/2022 20:46:32",
"content": "have fun substituting all the values ig",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115300312191000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:47:30",
"content": "thanks",
"attachments": [],
"mentions": [
{
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"name": "FructosePear",
"discriminator": "1985",
"nickname": "FructosePear",
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}
],
"reference": null
},
{
"id": 999115342456574000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:47:40",
"content": "it took up a whole line on my binder paper",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115658849693800,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:48:55",
"content": "got it right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115677598232600,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:00",
"content": "damn that was painful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115717171478500,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:09",
"content": ":opencry:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115783965778000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:25",
"content": "lets go",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115829171978200,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:36",
"content": "the next lesson is 'statstics with a **CALCULATOR**'",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115858053968000,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:43",
"content": "but tysm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115863468822500,
"author_id": 490938874818854900,
"author_name": "Fin",
"timestamp": "07/19/2022 20:49:44",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 999115864894869500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/19/2022 20:49:44",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7ae5699e08ba491a9a1cc1fe203908bb
|
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