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{
"id": 956687512011685900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 18:54:37",
"content": "Available help channel!",
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},
{
"id": 956693737818427400,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 19:19:21",
"content": "",
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"id": 956693742146965500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 19:19:22",
"content": "Pinned a message.",
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{
"id": 956693750527168600,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 19:19:24",
"content": "Hi",
"attachments": [],
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"reference": null
},
{
"id": 956693896946147300,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 19:19:59",
"content": "Is this 1*4p2?",
"attachments": [],
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},
{
"id": 956697672838959100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 19:34:59",
"content": "@soufflé Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 922322900571263000,
"name": "soufflé",
"discriminator": "8859",
"nickname": "soufflé",
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{
"id": 956697743936602100,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 19:35:16",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 956701137187254300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/24/2022 19:48:45",
"content": "Why do you think 1*4p2?",
"attachments": [],
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"reference": null
},
{
"id": 956705294052892700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 20:05:16",
"content": "@soufflé Has your question been resolved?",
"attachments": [],
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"id": 922322900571263000,
"name": "soufflé",
"discriminator": "8859",
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{
"id": 956705431303098400,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 20:05:49",
"content": "cause O is permanently there",
"attachments": [],
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"id": 356908116429897700,
"name": "Kaynex",
"discriminator": "7520",
"nickname": "Kaynex",
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{
"id": 956705474407977000,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 20:05:59",
"content": "then i can choose any two permuations from the rest of letters",
"attachments": [],
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},
{
"id": 956705608088838100,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 20:06:31",
"content": "oh wait is it 1x4p2x3!?",
"attachments": [],
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},
{
"id": 956705757456371700,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 20:07:07",
"content": "cause the O can move around like GOU, GUO, OUG",
"attachments": [],
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"reference": null
},
{
"id": 956720857764495400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 21:07:07",
"content": "@soufflé Has your question been resolved?",
"attachments": [],
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"id": 922322900571263000,
"name": "soufflé",
"discriminator": "8859",
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{
"id": 956732981937074200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/24/2022 21:55:18",
"content": "this is about choosing only",
"attachments": [],
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},
{
"id": 956733141677137900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/24/2022 21:55:56",
"content": "you're doing everything right but for the wrong task",
"attachments": [],
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"reference": null
},
{
"id": 956733155065360400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/24/2022 21:55:59",
"content": "it's 1×4c2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956737156129366000,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:11:53",
"content": "oh :C",
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"id": 956737215180972000,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:12:07",
"content": "ohh i think i messed up the c and p",
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"id": 956737239671517200,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:12:13",
"content": "theres no 3! ?",
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},
{
"id": 956737334773174400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/24/2022 22:12:35",
"content": "and there's no p",
"attachments": [],
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},
{
"id": 956737617095970800,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:13:43",
"content": "oh i see",
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},
{
"id": 956737623886536800,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:13:44",
"content": "ty",
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},
{
"id": 956737691154804700,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:14:00",
"content": ":WanWan: :WanWan: :WanWan:",
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},
{
"id": 956737699706961900,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/24/2022 22:14:02",
"content": ".close",
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},
{
"id": 956737701414064100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 22:14:03",
"content": "Channel closed",
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}
] |
help-9
|
6552dfa5b84148398111406c793778e9
|
199,866 |
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{
"id": 973779953567031300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:53:52",
"content": "Available help channel!",
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},
{
"id": 973780328697192400,
"author_id": 847822608408903700,
"author_name": "Alpin de Chocolate",
"timestamp": "05/10/2022 22:55:22",
"content": ",w solve x(a+1)-3(a+1)",
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},
{
"id": 973780333025722400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:55:23",
"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 23:10:22",
"content": "@Alpin de Chocolate Has your question been resolved?",
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"id": 973787879992086500,
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 23:25:22",
"content": "Channel closed",
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}
] |
help-9
|
0401602452f24be0aae24a9096a32acb
|
199,867 |
[
{
"id": 973788133172867100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 23:26:23",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 973791864870297600,
"author_id": 587240550080446500,
"author_name": "𝗨𝗡 𝐊𝐎",
"timestamp": "05/10/2022 23:41:12",
"content": "Can anyone help me with what topic should i study? I watched antiderivatives (which is pretty much just the x^n+1/n+1).",
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"id": 973791866791272400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 23:41:13",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 973791864870297600,
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{
"id": 973792978126659600,
"author_id": 587240550080446500,
"author_name": "𝗨𝗡 𝐊𝐎",
"timestamp": "05/10/2022 23:45:38",
"content": "Not saying antiderivatives is just all that, but that's what I'm asking. I don't know which one to watch. I can't understand our learning material or rather the test and examples are very different",
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{
"id": 973793465760632800,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/10/2022 23:47:34",
"content": "These are all u-sub integrals",
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{
"id": 973796753981726700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 00:00:38",
"content": "@𝗨𝗡 𝐊𝐎 Has your question been resolved?",
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{
"id": 973797033217499100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/11/2022 00:01:44",
"content": "There's more to antiderivatives than just polynomials",
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"id": 973800529148923900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 00:15:38",
"content": "Channel closed",
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}
] |
help-9
|
d53307d19d45401ca3434ea6b3067fdb
|
199,868 |
[
{
"id": 973806996727935000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 00:41:20",
"content": "Available help channel!",
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},
{
"id": 973811742557765600,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:00:11",
"content": "can you use distributive properties on matrices",
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},
{
"id": 973811744512282600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 01:00:12",
"content": "Pinned a message.",
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"id": 973811801298968600,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:00:25",
"content": "A(B + C) = AB + AC?",
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{
"id": 973811821507137500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:00:30",
"content": "yes",
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},
{
"id": 973812310164529200,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:02:27",
"content": "what about adding matrices and then applying it to a vector. Can i \"distribute\" the vector?",
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},
{
"id": 973812343094001700,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:02:35",
"content": "(A+B)x = Ax + Bx?",
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},
{
"id": 973812601219862700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:03:36",
"content": "yes",
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},
{
"id": 973812693012197400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:03:58",
"content": "as far as computations go, a column vector is just an n by 1 matrix",
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},
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"id": 973812803355963400,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:04:24",
"content": "oh ok",
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},
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"id": 973812815469084700,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "05/11/2022 01:04:27",
"content": ".close",
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"id": 973812816987435000,
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"timestamp": "05/11/2022 01:04:28",
"content": "Channel closed",
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}
] |
help-9
|
98af78142a48494c8befee712b5e27c4
|
199,869 |
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"id": 973814268095000700,
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 01:10:14",
"content": "Available help channel!",
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},
{
"id": 973822063854886900,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:41:12",
"content": "",
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"timestamp": "05/11/2022 01:41:13",
"content": "Pinned a message.",
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"id": 973822324426018800,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:42:14",
"content": "i just dont know how this would be calculated. I know it uses an arithmatic sequence but i dont understand how it is applied in this context",
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},
{
"id": 973823112107937800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/11/2022 01:45:22",
"content": "How far apart are the two towns?",
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},
{
"id": 973823137584144400,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:45:28",
"content": "32km",
"attachments": [],
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},
{
"id": 973823171323129900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/11/2022 01:45:36",
"content": "(THINK!)",
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},
{
"id": 973823289824788500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/11/2022 01:46:05",
"content": "So then can you set up an equation that has a 32 in it",
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},
{
"id": 973823841606467600,
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"timestamp": "05/11/2022 01:48:16",
"content": "",
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"id": 973823882899390500,
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"author_name": "Ann",
"timestamp": "05/11/2022 01:48:26",
"content": ",rccw",
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{
"id": 973823888620409000,
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"author_name": "TeXit",
"timestamp": "05/11/2022 01:48:27",
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"author_name": "Ann",
"timestamp": "05/11/2022 01:48:44",
"content": "sounds like you are overthinking it, japag.",
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"id": 973823979632595000,
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"timestamp": "05/11/2022 01:48:49",
"content": "yikes",
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"author_name": "Ann",
"timestamp": "05/11/2022 01:49:04",
"content": "also your handwriting makes it very hard to distinguish the digit 5 and what i assume to be the letter S",
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"timestamp": "05/11/2022 01:49:27",
"content": "ahaha fair enough",
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"id": 973824151196405800,
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"author_name": "Ann",
"timestamp": "05/11/2022 01:49:30",
"content": "but anyway",
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"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:49:35",
"content": "they are 5s in the bottom expression",
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"id": 973824210180902900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:49:44",
"content": "there are seven poles to be placed in a _straight line_ between the two towns",
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"id": 973824243110412300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:49:52",
"content": "and you are given some info about the intervals between the poles",
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"id": 973824585189457900,
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"timestamp": "05/11/2022 01:51:13",
"content": "yep",
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"id": 973824717175803900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:51:45",
"content": "but most importantly, the _sum_ of all these intervals is equal to what?",
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"id": 973824795223417000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:52:03",
"content": "so i add them all together?",
"attachments": [],
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"id": 973824817319002100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:52:09",
"content": "i'm looking for a number here.",
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"id": 973824927260115000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:52:35",
"content": "32",
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"id": 973824962290917400,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:52:43",
"content": "i assume",
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"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 01:52:49",
"content": "as thats the total distance",
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},
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"id": 973825059321954300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:53:06",
"content": "no need to assume",
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"id": 973825085314039800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 01:53:13",
"content": "that is actually what i wanted to hear from you",
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"author_name": "Ann",
"timestamp": "05/11/2022 01:53:19",
"content": "the total distance is indeed 32",
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"author_name": "Ann",
"timestamp": "05/11/2022 01:53:30",
"content": "so you have:\n5 + (5-d) + (5-2d) + (5-3d) + (5-4d) + (5-5d) + (5-6d) + 3 = 32",
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"author_name": "Ann",
"timestamp": "05/11/2022 01:53:52",
"content": "are you now able to solve this equation for d?",
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"id": 973825341112070100,
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"author_name": "JAPAG",
"timestamp": "05/11/2022 01:54:14",
"content": "yes ill give it a go",
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"author_name": "JAPAG",
"timestamp": "05/11/2022 01:57:05",
"content": "",
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"id": 973826761605410800,
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"author_name": "Ann",
"timestamp": "05/11/2022 01:59:52",
"content": "boy does your handwriting need work",
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"author_name": "Ann",
"timestamp": "05/11/2022 02:00:09",
"content": "but yes ok you got that d = 2/7",
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"id": 973826872842539000,
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"author_name": "Ann",
"timestamp": "05/11/2022 02:00:19",
"content": "are you now able to calculate the distance from the *5th* pole to either town?",
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"timestamp": "05/11/2022 02:00:50",
"content": "",
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"id": 973827161540673500,
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"author_name": "Ann",
"timestamp": "05/11/2022 02:01:28",
"content": ":sully:",
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},
{
"id": 973827341048488000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:02:10",
"content": "The answer says 22 1/7",
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},
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"id": 973827362653343700,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:02:16",
"content": "To town a",
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"id": 973827468643430400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:02:41",
"content": "the common difference of your arithmetic sequence is **-d** and not d if you insist on throwing The Formula™️ at it",
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"id": 973827619202150400,
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"author_name": "JAPAG",
"timestamp": "05/11/2022 02:03:17",
"content": "wait how is it -d",
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},
{
"id": 973827845795233800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:04:11",
"content": "> 5, **5 - d**, **5 - 2d**, ...",
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},
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"id": 973827871015600100,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:04:17",
"content": "ohhhhhhh",
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{
"id": 973827906243539000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:04:25",
"content": "i didnt know that was still a part of it",
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"id": 973827909972279300,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:04:26",
"content": "my bad",
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},
{
"id": 973828004004397000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:04:49",
"content": "and then just change it for town b",
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},
{
"id": 973828135441272800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:05:20",
"content": "\"change it\"...",
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},
{
"id": 973828387502194700,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:06:20",
"content": "well coudnt i just do 32- 22 1/7",
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},
{
"id": 973828462563455000,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:06:38",
"content": "then thats the remaining distance to the town b",
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},
{
"id": 973828638006997000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:07:20",
"content": "yes",
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{
"id": 973828711382143000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:07:37",
"content": "i was just thinking about how _good_ the phrase \"change it\" is at being ambiguous",
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{
"id": 973828852822458400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/11/2022 02:08:11",
"content": "it's a genius idea! by saying \"change it\" you could refer to almost _anything_ and still claim to have been in the right!",
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},
{
"id": 973828929343352800,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:08:29",
"content": "ahahahhaha yeah its smart innit. Then im correct in any case",
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},
{
"id": 973829025443225700,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:08:52",
"content": "anyway cheers for the help.",
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},
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"id": 973829037493485600,
"author_id": 340011608032149500,
"author_name": "JAPAG",
"timestamp": "05/11/2022 02:08:55",
"content": ".close",
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"id": 973829039003435000,
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 02:08:55",
"content": "Channel closed",
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}
] |
help-9
|
8f0e50cf896a40bd9e33926b3a2490c9
|
199,870 |
[
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"id": 973829291689279500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 02:09:56",
"content": "Available help channel!",
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},
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"id": 973830583937552400,
"author_id": 515941043217104900,
"author_name": "ace!",
"timestamp": "05/11/2022 02:15:04",
"content": "\"Suppose that the monthly revenue in thousands of dollars, for the sale of x hundred units of an electronic item is given by the function (x) = 40x^2e^−0.4x + 30, where the maximum capacity of the plant is 700 units. Determine the number of units to produce in order to maximize revenue.\" \nnot sure how to get the derivative",
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"timestamp": "05/11/2022 02:16:24",
"content": "ik you are supposed to use chain rule or whatever",
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},
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"timestamp": "05/11/2022 02:16:25",
"content": "Pinned a message.",
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"id": 973830987207290900,
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"timestamp": "05/11/2022 02:16:40",
"content": "but idk how to do this",
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"id": 973831010313719900,
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"author_name": "ace!",
"timestamp": "05/11/2022 02:16:45",
"content": "and i suck with chain rule",
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"timestamp": "05/11/2022 02:31:46",
"content": "@ace! Has your question been resolved?",
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"timestamp": "05/11/2022 03:02:38",
"content": "@ace! Has your question been resolved?",
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"content": "bru",
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"timestamp": "05/11/2022 04:02:50",
"content": "@ace! Has your question been resolved?",
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] |
help-9
|
8267c261249940e1a45771c99901578a
|
199,871 |
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help-9
|
73aa3be264c74fc7b6e893894fee047b
|
199,872 |
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"id": 973879878967525500,
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"id": 973880004544962600,
"author_id": 456226577798135800,
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"timestamp": "05/11/2022 05:31:26",
"content": "which question?",
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"id": 973880108542746800,
"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:31:51",
"content": "Oh sorry 21 was kicking my butt",
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"id": 973880264164012000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 05:32:28",
"content": "sorry, what topic is this?",
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"id": 973880348045877200,
"author_id": 461327039346245600,
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"timestamp": "05/11/2022 05:32:48",
"content": "It’s circles and arc leangths",
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"timestamp": "05/11/2022 05:33:58",
"content": "ah sorry",
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"id": 973880668939485200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 05:34:05",
"content": "i havent covered that topic myself lol",
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"id": 973880686572359700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 05:34:09",
"content": "I can't help with that",
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"id": 973880713222959100,
"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:34:15",
"content": "Oh your fine",
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{
"id": 973881230892343300,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/11/2022 05:36:19",
"content": "First, what is m$\\arc{N\\!L}$?",
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{
"id": 973881316456153100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 05:36:39",
"content": "**Si Arya**",
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"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:39:53",
"content": "How do I figure out what mMl and mMn",
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"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:40:10",
"content": "Because it doesn’t say if there equal or not",
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},
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"id": 973882272971362300,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/11/2022 05:40:27",
"content": "We don't care about that",
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"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:41:03",
"content": "Oh ok",
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"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:41:07",
"content": "Then it’s",
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},
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"id": 973882464579756000,
"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:41:13",
"content": "114",
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},
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"id": 973882948598251500,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/11/2022 05:43:08",
"content": "Nice. Did you see that $\\angle LPN$ is facing $\\arc{N\\!L}$?",
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},
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"id": 973883002545397800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 05:43:21",
"content": "**Si Arya**",
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"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:44:43",
"content": "OH so it would be half on NL",
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},
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"id": 973883373581910000,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/11/2022 05:44:50",
"content": "Yes",
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},
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"author_id": 461327039346245600,
"author_name": "PantsuuChan",
"timestamp": "05/11/2022 05:44:58",
"content": "👍",
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"author_name": "Arya 1503",
"timestamp": "05/11/2022 05:46:50",
"content": "Alright, that is it. If you're done, please type `.close`. Otherwise, just ask another question.",
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"author_id": 461327039346245600,
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"timestamp": "05/11/2022 05:47:43",
"content": ".close",
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},
{
"id": 973884103415988200,
"author_id": 805217272087838700,
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"timestamp": "05/11/2022 05:47:44",
"content": "Channel closed",
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}
] |
help-9
|
ae273cc8e7624d8b91310baec832e0ce
|
199,873 |
[
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"id": 973956562504794200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 10:35:39",
"content": "Available help channel!",
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},
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"id": 973957672044998700,
"author_id": 689096418585215100,
"author_name": "Yann",
"timestamp": "05/11/2022 10:40:04",
"content": "was just wondering is there a symbol for \"is given by\" in maths",
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},
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"id": 973957673953415200,
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"author_id": 689096418585215100,
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"timestamp": "05/11/2022 10:40:34",
"content": "like lambda is given by (random equation containing lambda)",
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},
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"id": 973957868845949000,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "05/11/2022 10:40:51",
"content": "|",
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},
{
"id": 973957947740799000,
"author_id": 689096418585215100,
"author_name": "Yann",
"timestamp": "05/11/2022 10:41:10",
"content": "is that not \"knowing that\" in probability",
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},
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"id": 973958093824213100,
"author_id": 689096418585215100,
"author_name": "Yann",
"timestamp": "05/11/2022 10:41:44",
"content": "could you say ```\nx | det(x)/z = (4y)!```",
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},
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"id": 973961622580232300,
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"timestamp": "05/11/2022 10:55:46",
"content": "@Helpers",
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},
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"id": 973963242600825000,
"author_id": 328019240898789400,
"author_name": "dino dik",
"timestamp": "05/11/2022 11:02:12",
"content": "~~in this case is it not suitable to simply write ~~ misunderstood",
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"timestamp": "05/11/2022 11:10:46",
"content": "@Yann Has your question been resolved?",
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"content": "@Yann Has your question been resolved?",
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"content": "@Yann Has your question been resolved?",
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"timestamp": "05/11/2022 13:55:17",
"content": "Channel closed",
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}
] |
help-9
|
d9019367de914f628d987d09b22c1813
|
199,874 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 14:15:09",
"content": "Available help channel!",
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},
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"id": 974013097075413100,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:20:18",
"content": "Prove that this equations answer isnt decided by the angle alpha (basically simplify to that point)",
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"content": "Pinned a message.",
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"id": 974013123482779800,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:20:24",
"content": "I cant find the approach",
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},
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"id": 974013257885024400,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 14:20:56",
"content": "What is ctg",
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},
{
"id": 974013281100501100,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:21:02",
"content": "Cotanges",
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},
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"id": 974013315892260900,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 14:21:10",
"content": "Cotangent is cot",
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},
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"id": 974013354219831300,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:21:19",
"content": "Depends where you live",
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"author_name": "Grusha",
"timestamp": "05/11/2022 14:21:35",
"content": "Russian education system sticks with ctg and that what my country goes with",
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"id": 974013456472756200,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:21:44",
"content": "Sorry for the inconvenience",
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},
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"id": 974013706092548200,
"author_id": 483183556215177200,
"author_name": "Grusha",
"timestamp": "05/11/2022 14:22:43",
"content": "ping me if you find anything pls",
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},
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"id": 974013914767573100,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 14:23:33",
"content": "This was my initial thought but I haven’t figured anything out yet",
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"timestamp": "05/11/2022 14:24:39",
"content": "i tried some of that",
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"author_name": "VictorLee",
"timestamp": "05/11/2022 14:24:59",
"content": "I think it works, show what you tried",
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"id": 974014394637910100,
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"author_name": "Grusha",
"timestamp": "05/11/2022 14:25:27",
"content": "i put the first and third formulas in and then was at a stalemate",
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"timestamp": "05/11/2022 14:26:09",
"content": "i solved this long ago i remember that you have to devide both sides of the fraction with smth",
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"content": "@Grusha",
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"timestamp": "05/11/2022 14:33:16",
"content": "OMG THANKS",
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"id": 974016600107798500,
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"author_name": "VictorLee",
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"content": ".close",
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}
] |
help-9
|
9267da64716e4f16a2064a4a3856ad59
|
199,875 |
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"content": "Available help channel!",
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"id": 974018892911485000,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:43:20",
"content": "hi uwu , why ex and ey disappeared at the end ?",
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"id": 974019606173864100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:46:10",
"content": "what are $e_x$ and $e_y$?",
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},
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"id": 974019618190549000,
"author_id": 510789298321096700,
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"timestamp": "05/11/2022 14:46:13",
"content": "**iCaird**",
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"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:47:49",
"content": "oh they are cartesian vectors",
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},
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"id": 974020114905174000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:48:11",
"content": "which ones? it matters",
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"id": 974020137650909200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:48:17",
"content": "standard basis vectors?",
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},
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"id": 974020162460188700,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:48:23",
"content": "yes",
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"id": 974020283260366800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:48:51",
"content": "okay then you know that $e_x \\cdot e_x = 1 = e_y \\cdot e_y$ and $e_x \\cdot e_y = 0$",
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},
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"id": 974020294937292900,
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"author_name": "TeXit",
"timestamp": "05/11/2022 14:48:54",
"content": "**iCaird**",
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"timestamp": "05/11/2022 14:49:08",
"content": "yeah exactly",
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"author_id": 182179228840755200,
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"timestamp": "05/11/2022 14:49:17",
"content": "so why are you confused",
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"id": 974021046791454800,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:51:53",
"content": "but it shouldnt be the final result as ,latex ~$$ \\frac{1}{9}ex $$ and the other 16/9 ey?",
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"id": 974021059311468500,
"author_id": 510789298321096700,
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"timestamp": "05/11/2022 14:51:56",
"content": "**J J J**",
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"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:52:13",
"content": "sorry iam not very familiar with latex yet",
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"id": 974021537638260700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:53:51",
"content": "but that term is $\\frac19 e_x \\cdot e_x$",
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"id": 974021548631543800,
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"timestamp": "05/11/2022 14:53:53",
"content": "**iCaird**",
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"timestamp": "05/11/2022 14:54:03",
"content": "and we know $e_x \\cdot e_x = 1$",
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"id": 974021602050191400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 14:54:06",
"content": "**iCaird**",
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"id": 974021969890660500,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:55:34",
"content": "ahhhhhhhhhhhhhhhhhhhh so that's why they dissappear.....",
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},
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"id": 974022163055128700,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:56:20",
"content": "damn thank you very much, hehe😇",
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},
{
"id": 974022398846320800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/11/2022 14:57:16",
"content": "yep ,same happens for e_y 🙂",
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},
{
"id": 974022462348099700,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:57:31",
"content": "yeah thank you again🤙",
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},
{
"id": 974022560532561900,
"author_id": 679751809698627700,
"author_name": "J J J",
"timestamp": "05/11/2022 14:57:54",
"content": ".close",
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},
{
"id": 974022562348679200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 14:57:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7794df88ddc64f218c3ac7e99c17c27d
|
199,876 |
[
{
"id": 956737955240771600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 22:15:03",
"content": "Available help channel!",
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},
{
"id": 956739084003451000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 22:19:32",
"content": "Pinned a message.",
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"content": "@RZ Has your question been resolved?",
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"timestamp": "03/24/2022 22:37:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
bfd973cd38f04256b740d08cfc3c4a67
|
199,877 |
[
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"id": 974026193466691600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 15:12:21",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 974028425457172500,
"author_id": 545675821155614700,
"author_name": "William VII",
"timestamp": "05/11/2022 15:21:13",
"content": "How would I do (b) (i)? I've subtracted a general point B on L2 from a general point A on L1 and set it equal to λ(a, b, c), but I don't know what to do from there.",
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"content": "Pinned a message.",
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"author_name": "William VII",
"timestamp": "05/11/2022 15:26:14",
"content": "Ok, I managed to find a, b and c, but I don't know where the coefficients for lambda came from",
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"id": 974033466389856300,
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"timestamp": "05/11/2022 15:41:15",
"content": "@William VII Has your question been resolved?",
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"id": 974036124429349000,
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"timestamp": "05/11/2022 15:51:48",
"content": "",
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"id": 974036220936065200,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 15:52:11",
"content": "$\\vec{n}$ stands for ``normal\"",
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},
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"id": 974036279501156500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 15:52:25",
"content": "**vin100**",
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"content": "Channel closed",
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}
] |
help-9
|
909dbdd2ab794c1b82c37002b3dc8cd7
|
199,878 |
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{
"id": 974037250801299600,
"author_id": 545675821155614700,
"author_name": "William VII",
"timestamp": "05/11/2022 15:56:17",
"content": "That helps me for (iii), but I'm still confused on how (i) works",
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"id": 974037370435412000,
"author_id": 545675821155614700,
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"timestamp": "05/11/2022 15:56:45",
"content": ".reopen",
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},
{
"id": 974037375376314400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 15:56:47",
"content": "✅",
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{
"id": 974039507336835200,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:05:15",
"content": "it's not hard to see that both lines are not coplanar",
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},
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"id": 974039955942834200,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:07:02",
"content": "can you show us what you've got for part (a)",
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},
{
"id": 974040770417946600,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:10:16",
"content": "even though i know what it is. it's related to part (a)",
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},
{
"id": 974041079043207300,
"author_id": 545675821155614700,
"author_name": "William VII",
"timestamp": "05/11/2022 16:11:30",
"content": "(2, 5, 2)",
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},
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"id": 974041109783253000,
"author_id": 545675821155614700,
"author_name": "William VII",
"timestamp": "05/11/2022 16:11:37",
"content": "oh",
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},
{
"id": 974041718372565100,
"author_id": 545675821155614700,
"author_name": "William VII",
"timestamp": "05/11/2022 16:14:02",
"content": "do I just need to solve the simultaneous equations now?",
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},
{
"id": 974042916639096800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:18:48",
"content": "no need to solve equations",
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},
{
"id": 974042976227557400,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:19:02",
"content": "gimme one minute",
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},
{
"id": 974043103231094800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:19:32",
"content": "i find out some $\\LaTeX$ code that i've written for a matrix.",
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},
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"id": 974043117940531300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 16:19:36",
"content": "**vin100**",
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"author_name": "vin100",
"timestamp": "05/11/2022 16:19:39",
"content": "that would help a lot",
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},
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"id": 974044440584929300,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:24:51",
"content": ",,\\underbrace{\n\\begin{bmatrix}\n\\vert & \\vert & & \\vert \\\\\nv_1 & v_2 & \\dots & v_n \\\\\n\\vert & \\vert & & \\vert\n\\end{bmatrix}\n}_{B \\in \\mathcal{M}_{n\\times n}(\\Bbb{R})}\n\\underbrace{\n\\begin{bmatrix} v_{\\beta1} \\\\ v_{\\beta2} \\\\ \\vdots \\\\ v_{\\beta n} \\end{bmatrix}\n}_{[v]_\\beta \\in \\Bbb{R}^n}\n= v_{\\beta1} v_1 + v_{\\beta2} v_2 + \\dots + v_{\\beta n} v_n",
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"id": 974044455931871200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 16:24:55",
"content": "**vin100**",
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"id": 974044651050922000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:25:41",
"content": "that's copied from my previous message on another channel",
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},
{
"id": 974044877014831100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/11/2022 16:26:35",
"content": ",,\\underbrace{\n\\begin{bmatrix}\n\\vert & \\vert & & \\vert \\\\\nv_1 & v_2 & \\dots & v_n \\\\\n\\vert & \\vert & & \\vert\n\\end{bmatrix}\n}_{{n\\times n} \\text{ square matrix}}\n\\underbrace{\n\\begin{bmatrix} v_{\\beta1} \\\\ v_{\\beta2} \\\\ \\vdots \\\\ v_{\\beta n} \\end{bmatrix}\n}_{{n \\times 1} \\text{ column vector}}\n= v_{\\beta1} v_1 + v_{\\beta2} v_2 + \\dots + v_{\\beta n} v_n",
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{
"id": 974044892793811100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 16:26:39",
"content": "**vin100**",
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"id": 974045788470657200,
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"author_name": "vin100",
"timestamp": "05/11/2022 16:30:12",
"content": "use this \"matrix right multiplied by a column vector as a sum of columns of the matrix\" view to write the linear sys in (b)(i) into column vectors that can be found at the top part of the question.\nℹ️ hint: some row operation on the given system of linear equations is needed, so that the columns match those appearing on top of the question.",
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"id": 974046133968072700,
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"author_name": "William VII",
"timestamp": "05/11/2022 16:31:35",
"content": "I'll try that, thanks",
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},
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"id": 974049909911195800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 16:46:35",
"content": "@William VII Has your question been resolved?",
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"id": 974049928617791500,
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 16:46:39",
"content": "Channel closed",
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}
] |
help-9
|
0f65b1c2615345e795a4b1b86310f16b
|
199,879 |
[
{
"id": 974050181475602400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 16:47:40",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 974051644897657000,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:53:29",
"content": "find the equation of the line that passes through the points A(3,4) and B(-2,5)",
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"timestamp": "05/11/2022 16:53:29",
"content": "Pinned a message.",
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"id": 974051714313359500,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:53:45",
"content": "sorry for the english",
"attachments": [],
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},
{
"id": 974051808609726600,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:54:08",
"content": "did I calculate the values right?",
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},
{
"id": 974051860694569000,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 16:54:20",
"content": "Just use point slope form",
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},
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"id": 974051986116857900,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 16:54:50",
"content": "",
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"id": 974052017263771600,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 16:54:57",
"content": "Dont need to solve for b",
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},
{
"id": 974052077091323900,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:55:12",
"content": "So I was using the wrong line equation to solve the problem?",
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},
{
"id": 974052110805123100,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 16:55:20",
"content": "No you could do either way",
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},
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"id": 974052134322602100,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 16:55:25",
"content": "I just think this is easier",
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},
{
"id": 974052199695011800,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:55:41",
"content": "Aight",
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"id": 974052224823091200,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:55:47",
"content": "thanks",
"attachments": [],
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},
{
"id": 974052229956894700,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/11/2022 16:55:48",
"content": ".close",
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},
{
"id": 974052231345209500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 16:55:48",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
1a68cbd50e20477ca892ed0703dc53c1
|
199,880 |
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{
"id": 974054174037774300,
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 17:03:32",
"content": "Available help channel!",
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},
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"id": 974059845588238300,
"author_id": 172013690852343800,
"author_name": "Sofon",
"timestamp": "05/11/2022 17:26:04",
"content": "hey I don't understand what my teacher did in this integral.\nwhat is the process in this line.",
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"timestamp": "05/11/2022 17:26:04",
"content": "Pinned a message.",
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"id": 974060453317734400,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 17:28:29",
"content": "essentially, he just rewrote",
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"author_name": "JamesH",
"timestamp": "05/11/2022 17:29:47",
"content": "$$\\frac{\\frac{a}{b}}{c + \\frac{d}{e}}\\cdot \\frac{f}{g} = \\frac{a}{b}\\cdot \\frac{1}{c+\\frac{d}{e}} \\cdot \\frac{f}{g} = \\frac{a\\cdot f}{b\\cdot g\\cdot(c+\\frac{d}{e})}$$",
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"author_name": "Navix",
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"timestamp": "05/11/2022 17:31:19",
"content": "yup",
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},
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 17:31:35",
"content": "**JamesH**",
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"author_id": 172013690852343800,
"author_name": "Sofon",
"timestamp": "05/11/2022 17:32:11",
"content": "but i dont know the rule that he used to play with the fracture",
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},
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"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 17:32:42",
"content": "the only rule used is that $\\frac{a}{b} = a \\cdot \\frac{1}{b}$",
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},
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"timestamp": "05/11/2022 17:32:45",
"content": "**JamesH**",
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"author_name": "Sofon",
"timestamp": "05/11/2022 17:34:03",
"content": "ohhhhh i see",
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},
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"author_id": 172013690852343800,
"author_name": "Sofon",
"timestamp": "05/11/2022 17:34:09",
"content": "thank you so much",
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},
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"id": 974062075049549800,
"author_id": 172013690852343800,
"author_name": "Sofon",
"timestamp": "05/11/2022 17:34:55",
"content": ".close",
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},
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"id": 974062076450439200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 17:34:56",
"content": "Channel closed",
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}
] |
help-9
|
cd8fbdf0ee7b49eaa3f6e8647ae5815e
|
199,881 |
[
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"id": 974062373537218700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 17:36:07",
"content": "Available help channel!",
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},
{
"id": 974066279344402600,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:51:38",
"content": "hello can someone tell me what this means",
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},
{
"id": 974066281932259300,
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"content": "Pinned a message.",
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"author_id": 313313965604077600,
"author_name": "Supreme-Gliss",
"timestamp": "05/11/2022 17:51:44",
"content": "Can someone help me with stats ?",
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},
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"id": 974066326651932700,
"author_id": 202860405431861250,
"author_name": "Dyna",
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"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:52:09",
"content": "what's the context",
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},
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"id": 974066413549531100,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 17:52:10",
"content": "there are some pieces missing to the right i assume",
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"id": 974066446462222300,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:52:18",
"content": "oh yeah they are some more",
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},
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"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:52:24",
"content": "but what does it mean? like the name and stuff",
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},
{
"id": 974066478993276900,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:52:25",
"content": "⏫",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:52:32",
"content": "post the full thing 💀",
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},
{
"id": 974066518562332700,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:52:35",
"content": "cause i want to watch a video about it",
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},
{
"id": 974066525017366500,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:52:36",
"content": "ok 1 sec",
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},
{
"id": 974066542302068700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:52:40",
"content": "https://www.mathsisfun.com/sets/functions-piecewise.html",
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},
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"id": 974066622409089200,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:53:00",
"content": "",
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"id": 974066702188953600,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:53:19",
"content": "it's like coding in math",
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},
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"id": 974066727321223200,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:53:25",
"content": "so f(1/2)",
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},
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"id": 974066737169445000,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:53:27",
"content": "would = 0",
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},
{
"id": 974066743536386000,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:53:28",
"content": "if else statements?",
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},
{
"id": 974066821697241100,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:53:47",
"content": "all if statements",
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},
{
"id": 974066885706539000,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:54:02",
"content": "if it fits none of em then it's just undefined",
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},
{
"id": 974066898297839600,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:54:05",
"content": "oh i got it thanks!",
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"id": 974066958649667600,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:54:20",
"content": "/unreserve",
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},
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"id": 974066974726434800,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:54:24",
"content": "how do you do it",
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},
{
"id": 974067014933041200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:54:33",
"content": "the “otherwise” is the else",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:54:42",
"content": "it can’t be undefined by definition",
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"content": "",
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"timestamp": "05/11/2022 17:55:05",
"content": "it would fit the condition of \"otherwise\"",
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"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:55:19",
"content": "that’s what an else statement is",
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"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:55:42",
"content": "“otherwise” isn’t rigorously defined as anything but an else statement",
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"id": 974067476373573800,
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"author_name": "Chunkin",
"timestamp": "05/11/2022 17:56:23",
"content": "ig so",
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},
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"id": 974067528865288200,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:56:36",
"content": "but in general if it can't fit any of the conditions",
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},
{
"id": 974067592102809700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:56:51",
"content": "like if the above one was like x < 0 ... x>0",
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},
{
"id": 974067630329708500,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 17:57:00",
"content": "f(0) = undefined",
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},
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"id": 974067707211292700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:57:18",
"content": "yes or in this picture if x = i",
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"id": 974067833476620300,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:57:48",
"content": "so wait its talking about the value of y right",
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},
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"id": 974067862937407500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 17:57:55",
"content": "f(x) = y yes",
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"id": 974067896588324900,
"author_id": 202860405431861250,
"author_name": "Dyna",
"timestamp": "05/11/2022 17:58:03",
"content": "alright perfect thanks",
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},
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"id": 974071672464343000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 18:13:04",
"content": "@Dyna Has your question been resolved?",
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"timestamp": "05/11/2022 18:14:01",
"content": "Channel closed",
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}
] |
help-9
|
7f90e922cb15411bb940918df3417daf
|
199,882 |
[
{
"id": 974072167207682000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 18:15:02",
"content": "Available help channel!",
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},
{
"id": 974072689234944000,
"author_id": 554617470753964000,
"author_name": "Ryback96",
"timestamp": "05/11/2022 18:17:06",
"content": "",
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"timestamp": "05/11/2022 18:17:07",
"content": "Pinned a message.",
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"author_id": 554617470753964000,
"author_name": "Ryback96",
"timestamp": "05/11/2022 18:17:22",
"content": "The answer is (B) but i need the steps",
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},
{
"id": 974074462175629300,
"author_id": 198191547970355200,
"author_name": "sills",
"timestamp": "05/11/2022 18:24:09",
"content": "this is the limit definition of an integral, no?",
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},
{
"id": 974074506069041200,
"author_id": 198191547970355200,
"author_name": "sills",
"timestamp": "05/11/2022 18:24:19",
"content": ",w limit definition of integral",
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},
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"author_id": 198191547970355200,
"author_name": "sills",
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"id": 974075216621871100,
"author_id": 554617470753964000,
"author_name": "Ryback96",
"timestamp": "05/11/2022 18:27:09",
"content": "Yes its gonna be solved by the Riemann sum thing",
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},
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"id": 974075945063448600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:30:02",
"content": "$$\\lim_{n\\to \\infty}\\sum_{i = 1}^{n}f\\left(a + \\dfrac{(b - a)i}{n}\\right) \\dfrac{b - a}{n}$$",
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"id": 974076453253693600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 18:32:03",
"content": "**jnmwn🇷🇺**",
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"author_id": 554617470753964000,
"author_name": "Ryback96",
"timestamp": "05/11/2022 18:32:16",
"content": "Hmm",
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},
{
"id": 974076555078799400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:32:28",
"content": "b - a = 1 since 1/n outside sum",
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},
{
"id": 974076568785789000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:32:31",
"content": "in orig problem",
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},
{
"id": 974076652197908600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:32:51",
"content": "since it starts at 0 + 1/n we also know a = 0",
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},
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"id": 974076677858676900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:32:57",
"content": "thus b = 1",
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},
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"id": 974076936315867100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:33:59",
"content": "by definition we can also observe f(x) = sqrt(x) because it’s f(0 + 1/n), f(0 + 2/n), … = sqrt(0 + 1/n), sqrt(0 + 2/n), …",
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"timestamp": "05/11/2022 18:34:19",
"content": "thus answer B",
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"author_name": "Ryback96",
"timestamp": "05/11/2022 18:34:35",
"content": "Thanks sir i really appreciate this",
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},
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"author_id": 554617470753964000,
"author_name": "Ryback96",
"timestamp": "05/11/2022 18:34:40",
"content": "i love this server",
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},
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 18:34:41",
"content": "no problem",
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"timestamp": "05/11/2022 18:34:43",
"content": ".close",
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"timestamp": "05/11/2022 18:34:44",
"content": "Channel closed",
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}
] |
help-9
|
b7920235f7ae4fc292b2db32af4a9835
|
199,883 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 18:35:44",
"content": "Available help channel!",
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"id": 974077576496705500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 18:36:31",
"content": "Pinned a message.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 18:37:06",
"content": "I did some ratios and I kept coming out with the answer 50",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 18:37:15",
"content": "are you able to spot the similar triangles?",
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"id": 974077825541890000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 18:37:31",
"content": "Which 50 is definitely not the right answer",
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},
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"id": 974077842012897300,
"author_id": 331558346333224960,
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"timestamp": "05/11/2022 18:37:35",
"content": "it is not",
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"timestamp": "05/11/2022 18:37:41",
"content": "Yes",
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"timestamp": "05/11/2022 18:37:57",
"content": "so all you need to use is that all side lengths scale by the same proportion",
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"author_id": 331558346333224960,
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"timestamp": "05/11/2022 18:38:02",
"content": "i see a large triangle",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 18:38:08",
"content": "it has sides 40, 50, and ??",
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"id": 974078039958884400,
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"author_name": "jan Niku",
"timestamp": "05/11/2022 18:38:22",
"content": "i see a smaller triangle, it has side lengths 20, **??**, and ??",
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"id": 974078089485221900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 18:38:34",
"content": "how much did 40 scale by to become 20?",
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"id": 974078128144150500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 18:38:43",
"content": "50 will scale this same amount to become the quantity you need",
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"timestamp": "05/11/2022 18:38:50",
"content": "Ahhhh",
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"id": 974078164882051200,
"author_id": 456226577798135800,
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"timestamp": "05/11/2022 18:38:52",
"content": "I got it",
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/11/2022 18:38:58",
"content": "Thanks a lot",
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"author_name": "Deleted User",
"timestamp": "05/11/2022 18:39:01",
"content": ".close",
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"timestamp": "05/11/2022 18:39:02",
"content": "Channel closed",
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}
] |
help-9
|
5cbbf58dfeb04a2284b7f6c7d0c2521b
|
199,884 |
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help-9
|
4897993add9d49458b025d45cf6f2036
|
199,885 |
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 18:56:41",
"content": "Available help channel!",
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"id": 974083930946932700,
"author_id": 713049086084776100,
"author_name": "Eyther",
"timestamp": "05/11/2022 19:01:46",
"content": "What should I do from here to get x?",
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"timestamp": "05/11/2022 19:02:57",
"content": "root both sides.",
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"id": 974084340080341000,
"author_id": 713049086084776100,
"author_name": "Eyther",
"timestamp": "05/11/2022 19:03:24",
"content": "What should I do after?",
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"id": 974084391800275000,
"author_id": 555843902217650200,
"author_name": "Swift.",
"timestamp": "05/11/2022 19:03:36",
"content": "idk man/ma'am.",
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"id": 974087661318979600,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/11/2022 19:16:36",
"content": "You have to calculate your discriminant",
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"timestamp": "05/11/2022 19:17:12",
"content": "Idk how to do that",
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"id": 974087854437314600,
"author_id": 409744609162428400,
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"content": "x = (-b+-sqrt(b^2-4ac))/2a",
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"id": 974087953116721200,
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"author_name": "nils",
"timestamp": "05/11/2022 19:17:45",
"content": "never learnt that formula?",
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"id": 974087979616333800,
"author_id": 713049086084776100,
"author_name": "Eyther",
"timestamp": "05/11/2022 19:17:52",
"content": "Quadratic formula",
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"id": 974087993168117800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/11/2022 19:17:55",
"content": "yeah",
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"id": 974088014315794400,
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"timestamp": "05/11/2022 19:18:00",
"content": "that one",
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"id": 974088029713080300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/11/2022 19:18:03",
"content": "you can use it her",
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"id": 974088036331688000,
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"content": "here",
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"id": 974088067143057400,
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"timestamp": "05/11/2022 19:18:12",
"content": "Ok lemme see",
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"timestamp": "05/11/2022 19:18:29",
"content": "So you have to bring everything to one side",
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"content": "And then at the other side you should have 0",
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"id": 974088240548163600,
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"timestamp": "05/11/2022 19:18:54",
"content": "And then you can find your solutions using your quadratic formula",
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"timestamp": "05/11/2022 19:19:02",
"content": "Ok thanks",
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"timestamp": "05/11/2022 19:19:09",
"content": ".close",
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] |
help-9
|
97866cd41d30432cb7887e79e254cba9
|
199,886 |
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"content": "Available help channel!",
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"id": 974096339900182700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "05/11/2022 19:51:05",
"content": "Dumb question, does the order matter?",
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"timestamp": "05/11/2022 19:51:37",
"content": "probably not",
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"id": 974096489292906500,
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"timestamp": "05/11/2022 19:51:40",
"content": "**SirRiceBurger**",
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"timestamp": "05/11/2022 19:53:08",
"content": "for money, most of the time only the sum value of the money matters, not the specific order of which it was chosen in",
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"content": "stop spamming everywhere",
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"content": "okok lol thanks",
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] |
help-9
|
b5ff7468db3346b8a6f611958b7f3e72
|
199,887 |
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"content": "@TheDubiousPrince Has your question been resolved?",
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"content": "@TheDubiousPrince Has your question been resolved?",
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"content": "@TheDubiousPrince Has your question been resolved?",
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help-9
|
1f0ffd04435f468c9d39cb5d45944490
|
199,888 |
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"timestamp": "05/11/2022 19:54:22",
"content": "$see i helped$",
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"content": "@Deleted User cut it out",
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"content": "**SirRiceBurger**",
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"content": "**SirRiceBurger**\n```latex\n$what?$\n```",
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"content": "Available help channel!",
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"author_name": "JAPAG",
"timestamp": "05/11/2022 20:57:34",
"content": "I honestly have no clue. this is just a complex unfamiler from my textbook but i need to understand the process",
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"content": "arithmetic sequence",
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"timestamp": "05/11/2022 20:59:46",
"content": "f(1) = 4\nf(2) = 4 + 1 = 5\nf(3) = 4 + 1 + 1 = 6\n…\nf(n) = 4 + (n - 1)",
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"timestamp": "05/11/2022 21:00:14",
"content": "just found the answer sheet",
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"timestamp": "05/11/2022 21:00:21",
"content": "thats what is says im kinda confused",
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"timestamp": "05/11/2022 21:00:22",
"content": "lmao",
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"timestamp": "05/11/2022 21:06:50",
"content": "that’s in 0th term notation",
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"content": "f(0) = 3",
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"content": "@JAPAG Has your question been resolved?",
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help-9
|
4ec17f0edb1347c686f3e95c87f5753c
|
199,889 |
[
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"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:32:53",
"content": "can I get help",
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},
{
"id": 974121962945273900,
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"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 21:33:36",
"content": "depends on the question",
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"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:33:45",
"content": "okay",
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"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:33:51",
"content": "umm this is a project",
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},
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"id": 974122297122259000,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:34:13",
"content": "that im doing for algebra2",
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"id": 974122338947825700,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:34:23",
"content": "and I just need help understanding",
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"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:35:29",
"content": "is there anyway I can screen share",
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"id": 974123221412630500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:37:54",
"content": ":monkaS:",
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},
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"id": 974123236101062800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:37:57",
"content": "can you post the question?",
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},
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"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:39:44",
"content": "okay basically II need to outline this photo",
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},
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"id": 974123717347143800,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:39:52",
"content": "with math equations but",
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},
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"id": 974123813094699100,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:40:15",
"content": "I just dont understand what equation to use",
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"id": 974124044104388600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:41:10",
"content": "what?",
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},
{
"id": 974124088123592700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:41:20",
"content": "oh you mean",
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},
{
"id": 974124093488119800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:41:22",
"content": "trace",
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},
{
"id": 974124111016120300,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:41:26",
"content": "yes",
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},
{
"id": 974124166242521200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:41:39",
"content": "well you want probably interpolation if youre in algebra 2",
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},
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"author_name": "jan Niku",
"timestamp": "05/11/2022 21:41:49",
"content": "maybe you know or maybe you dont that like",
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},
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"id": 974124260329136100,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 21:42:02",
"content": "You picked a really hard picture",
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},
{
"id": 974124283385249800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:42:07",
"content": "an n degree polynomial can be made to go exactly through n+1 points",
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},
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"timestamp": "05/11/2022 21:42:09",
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"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:42:20",
"content": "i need to use those equations",
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},
{
"id": 974124393502486500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:42:33",
"content": "damn they made it hard on you huh",
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},
{
"id": 974124425303699500,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:42:41",
"content": "ong",
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},
{
"id": 974124514743054300,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:43:02",
"content": "ive been stuck for the past 2 hours",
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},
{
"id": 974124533395128300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:07",
"content": "well seems to me like your only choice is to like",
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},
{
"id": 974124556342161400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:12",
"content": "look for pictures that fit those equations",
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},
{
"id": 974124568778260500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:15",
"content": "rather than the other way around",
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},
{
"id": 974124587652632600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:20",
"content": "since theyve tied your hands",
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},
{
"id": 974124607051296800,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:43:24",
"content": "i cant change it",
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},
{
"id": 974124633399894100,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:43:30",
"content": "she baited me bro",
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},
{
"id": 974124659631095800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:37",
"content": "well i dont think any of those equations are going to work",
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},
{
"id": 974124693223276500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:43:45",
"content": "at least not any one of them",
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},
{
"id": 974125467953139700,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:46:49",
"content": "okay well thanks guys",
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},
{
"id": 974125468318072800,
"author_id": 198191547970355200,
"author_name": "sills",
"timestamp": "05/11/2022 21:46:50",
"content": "time to have a 32 degree polynomial",
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},
{
"id": 974125525910057100,
"author_id": 336914937651920900,
"author_name": "Maddy 0//v//0",
"timestamp": "05/11/2022 21:47:03",
"content": "ill see iof my friend can help",
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},
{
"id": 974125686287638500,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/11/2022 21:47:41",
"content": "its do-able",
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},
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"id": 974126280700211200,
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"author_name": "jan Niku",
"timestamp": "05/11/2022 21:50:03",
"content": "using piecewise or interpolation its doable",
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"timestamp": "05/11/2022 21:50:17",
"content": "i mean 2 people right next to eachother im picturing a 4th degree",
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"timestamp": "05/11/2022 21:50:33",
"content": "something with one repeated root",
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},
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"id": 974126411675750400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:50:34",
"content": "like uhh",
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},
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"id": 974126488381169700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:50:53",
"content": ",w graph x^2*(5-x)(x-5)=y",
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},
{
"id": 974126497927430100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/11/2022 21:50:55",
"content": "Results provided by WolframAlpha",
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"timestamp": "05/11/2022 21:51:07",
"content": "translated appropriately obviously",
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"id": 974126627837575200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/11/2022 21:51:26",
"content": "but this at least has roughly the shape of two people next to each other",
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"id": 974127004569976800,
"author_id": 473405391167029250,
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"timestamp": "05/11/2022 21:52:56",
"content": "i assume she is allowed to use multiple functions",
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"timestamp": "05/11/2022 21:53:06",
"content": "pieced together",
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},
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 22:02:03",
"content": "@Maddy 0//v//0 Has your question been resolved?",
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"timestamp": "05/11/2022 22:17:04",
"content": "Channel closed",
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}
] |
help-9
|
354083db81a64f759918c3ea9c6c2a0e
|
199,890 |
[
{
"id": 974133330624802800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 22:18:04",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974133980179865600,
"author_id": 110239997419872260,
"author_name": "Hyst",
"timestamp": "05/11/2022 22:20:39",
"content": "I think I *should* be able to make this into an equation and not have to \"brute force\" the answer, given this is a question I'm being asked in my second week of calculus practice, but I'm not sure how I'd go about that. Can anyone point me in the right direction?",
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"content": "Pinned a message.",
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"id": 974136060852449400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:28:55",
"content": "a = 8",
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},
{
"id": 974136081966596100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:00",
"content": "so v = 8t + C",
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},
{
"id": 974136111897116700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:07",
"content": "since v(0) = 8",
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},
{
"id": 974136131274809300,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:12",
"content": "v = 8t + 8",
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},
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"id": 974136235440341000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:37",
"content": "plug in t = 5 to find velocity at B @Hyst",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:45",
"content": "now integrate again",
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},
{
"id": 974136305975984100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:29:53",
"content": "d = 4t^2 + 8t + C",
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},
{
"id": 974136397973844100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:30:15",
"content": "d(5) - d(0) = [4(5)^2 + 8(5)] - 0",
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},
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"id": 974136548121522200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:30:51",
"content": "simplify to find distance",
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},
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"id": 974136713079291900,
"author_id": 110239997419872260,
"author_name": "Hyst",
"timestamp": "05/11/2022 22:31:30",
"content": "Oh. I'm meant to be *integrating* to figure out the answer to this one, that's frustrating, the week I'm working on has only covered Differentiation. I'll read up on next week's material to understand that one more. This unit isn't laid out that well, they want us to take these tests and they keep including next week's material in the more recent tests. I think the course work was adjusted and they didn't adjust the tests.",
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"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:31:55",
"content": "ok",
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},
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"id": 974136862924996600,
"author_id": 110239997419872260,
"author_name": "Hyst",
"timestamp": "05/11/2022 22:32:06",
"content": "thanks for the pointers, I got as far as v=8t+8",
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},
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"id": 974136902083018900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/11/2022 22:32:16",
"content": "👍",
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},
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"id": 974136930608488400,
"author_id": 110239997419872260,
"author_name": "Hyst",
"timestamp": "05/11/2022 22:32:22",
"content": ".close",
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},
{
"id": 974136932177182700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 22:32:23",
"content": "Channel closed",
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}
] |
help-9
|
3ccbdea86a7946f4ae255ee355f7664c
|
199,891 |
[
{
"id": 974137185102082000,
"author_id": 805217272087838700,
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"timestamp": "05/11/2022 22:33:23",
"content": "Available help channel!",
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"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:44:00",
"content": "can all functions be turned into piecewise functions @Helpers",
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"author_id": 473405391167029250,
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"timestamp": "05/11/2022 22:44:19",
"content": "if you really wanted to",
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"id": 974139966118563800,
"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:44:26",
"content": "fuck ok thanks",
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},
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"id": 974139998209212400,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "05/11/2022 22:44:34",
"content": "Piecewise continuous or just piecewise?",
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"id": 974140046926053400,
"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:44:45",
"content": "whats the difference?",
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},
{
"id": 974140168225308700,
"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:45:14",
"content": "like a quadratic?",
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},
{
"id": 974140230493937700,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "05/11/2022 22:45:29",
"content": "\"piecewise\" is just having different cases, piecewise continuous means that there is a formula for each piece that isnt just a single point",
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},
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"id": 974140332902060000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/11/2022 22:45:54",
"content": "You have to wait at least 15 minutes before pinging helpers",
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"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:46:38",
"content": "would an absolute value be one type and a quartic be another?",
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"id": 974140537005305900,
"author_id": 670762607787114500,
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"timestamp": "05/11/2022 22:46:42",
"content": "oops mb",
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"id": 974140542537588700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 22:46:43",
"content": "yes",
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"id": 974140653153943600,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/11/2022 22:47:10",
"content": "$$\\{ idk x$$",
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"id": 974140792279040000,
"author_id": 670762607787114500,
"author_name": "Hinderrr",
"timestamp": "05/11/2022 22:47:43",
"content": ".close",
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},
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"id": 974140794040643600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 22:47:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5912ca65aef0455ba77ae73164126eee
|
199,892 |
[
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"id": 974140867688407000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/11/2022 22:48:01",
"content": "Did you look at the user's about me?",
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"content": "oh no lol",
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"timestamp": "05/11/2022 22:48:35",
"content": "Pretty sketch",
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"id": 974141124086202400,
"author_id": 803997344613662700,
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"timestamp": "05/11/2022 22:49:02",
"content": "$\\{x\\text{ }x$",
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"timestamp": "05/11/2022 22:49:05",
"content": "**Chunkin**",
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"timestamp": "05/11/2022 22:49:18",
"content": "piecewise function for y=x",
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"id": 974141218999120000,
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"author_name": "Chunkin",
"timestamp": "05/11/2022 22:49:25",
"content": ":kekw:",
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"timestamp": "05/11/2022 22:54:03",
"content": "Available help channel!",
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},
{
"id": 974142609683542000,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:54:56",
"content": "Ok so my equation is",
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"id": 974142612451786800,
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 22:54:57",
"content": "Pinned a message.",
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"id": 974142670832287700,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:55:11",
"content": "3 ln x + ln 5=6",
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"id": 974142774775513200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:55:36",
"content": "I found out the correct way of solving it.... which u would first find ln5 and then subtract that by 6",
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"id": 974142875069743100,
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"author_name": "dldh06",
"timestamp": "05/11/2022 22:56:00",
"content": "I'm pretty sure I helped you with this already",
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"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:56:52",
"content": "yes I believe so... I just need an explanation as to why u can't subtract 3 on both sides",
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"id": 974143152237723600,
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"author_name": "dldh06",
"timestamp": "05/11/2022 22:57:06",
"content": "Because it's 3 * lnx",
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:57:09",
"content": "i have the test tomorrow and for some that is how u would start off the problem",
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"id": 974143252154417200,
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:57:30",
"content": "ok so ur saying that because the 3 is paired with the lnx then u cant subtract it",
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"id": 974143296555352000,
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:57:40",
"content": "but if it was just a 3 and no lnx with it then u could",
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"timestamp": "05/11/2022 22:57:44",
"content": "How could you?",
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"id": 974143409742839800,
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"author_name": "dldh06",
"timestamp": "05/11/2022 22:58:07",
"content": "If you have 3x^2 + 5 = 7, could you subtract 3 on both sides?",
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"id": 974143543243341800,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:58:39",
"content": "no because the 3 is paired with the x",
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"id": 974143589938503700,
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"author_name": "dldh06",
"timestamp": "05/11/2022 22:58:50",
"content": "Same reason with 3 * lnx",
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"id": 974143610339598300,
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"timestamp": "05/11/2022 22:58:55",
"content": "alr",
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"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:59:18",
"content": "I was confused because lets say with the problem- 6e^2x=10",
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:59:29",
"content": "oops that is a bad example",
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 22:59:37",
"content": "u would divide",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/11/2022 22:59:59",
"content": "$6e^{2x} = 10$ or\n$6e^{2}x = 10$?",
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"author_name": "TeXit",
"timestamp": "05/11/2022 23:00:01",
"content": "**dldh06**",
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"timestamp": "05/11/2022 23:00:24",
"content": "mb mb I get it now",
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"author_name": "Smashfielder",
"timestamp": "05/11/2022 23:00:51",
"content": "I missed a few days and im trying to catch up so my mind is a bit everywhere rn",
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"timestamp": "05/11/2022 23:00:57",
"content": "thx for the help",
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"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "05/11/2022 23:01:23",
"content": ".close",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 23:01:23",
"content": "Channel closed",
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] |
help-9
|
4fd7264f179045e581c060198f0b7672
|
199,893 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 23:04:59",
"content": "Available help channel!",
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},
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"id": 974145867449782300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 23:07:53",
"content": "Pinned a message.",
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"id": 974146044197752800,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 23:08:35",
"content": "What specifically you stuck with",
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"author_name": "VictorLee",
"timestamp": "05/11/2022 23:09:29",
"content": "Well for one since it says to integrate with respect to y. You need the equation in terms of y",
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"id": 974147283715240000,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 23:13:31",
"content": "Just solve the given equation for x in terms of y",
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"id": 974147399201210400,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/11/2022 23:13:58",
"content": "The square root function. If that wasn’t clear",
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"content": "Channel closed",
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help-9
|
d35aeab201484f019dc387cc480fadad
|
199,894 |
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"timestamp": "05/11/2022 23:17:55",
"content": "Available help channel!",
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"id": 974149073160536200,
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"author_name": "beanbeanjuice",
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"content": "Pinned a message.",
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"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "05/11/2022 23:20:40",
"content": "struggling with this 😭",
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},
{
"id": 974149129188016100,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "05/11/2022 23:20:51",
"content": "i know i have to find the derivative of r(t) to get the \"slope\"",
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"timestamp": "05/11/2022 23:20:53",
"content": "and plug in 7",
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"id": 974149152453820400,
"author_id": 690927484199370800,
"author_name": "beanbeanjuice",
"timestamp": "05/11/2022 23:20:56",
"content": "but what do i do with that from there?",
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"timestamp": "05/11/2022 23:21:07",
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"timestamp": "05/11/2022 23:26:30",
"content": "nvm got it",
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"author_name": "beanbeanjuice",
"timestamp": "05/11/2022 23:26:35",
"content": "wow its a lot simpler than it hought",
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"author_name": "beanbeanjuice",
"timestamp": "05/11/2022 23:26:36",
"content": ".close",
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"content": "Channel closed",
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help-9
|
8520b02bfaa14579909742f4720c23f5
|
199,895 |
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"author_name": "Mathematics Bot",
"timestamp": "05/11/2022 23:30:40",
"content": "Available help channel!",
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"id": 974153922056966100,
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"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/11/2022 23:46:41",
"content": "If you scale any shape by **a**, then the area is scaled by **a²**, and the volume is scaled by **a³**",
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"id": 974156604314386400,
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"author_name": "Arya 1503",
"timestamp": "05/11/2022 23:50:33",
"content": "For example, I have a cube that have side length **1m**. Then the surface area is **6m²** and the volume is **1m³**.\n\nThen if I scale that cube by **2**, the side length becomes **2m**, the surface area becomes **24m²** (**2²** times the surface area of the original cube), and the volume becomes **8m³** (**2³** times the volume of the original cube)",
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"timestamp": "05/11/2022 23:55:33",
"content": "@babytronfan221 Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
3f0e793b9c8748f6b448b753bd4119af
|
199,896 |
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"timestamp": "05/12/2022 00:01:07",
"content": "Available help channel!",
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"id": 974159325822091300,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/12/2022 00:01:22",
"content": "help me",
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"content": "Pinned a message.",
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"author_name": "inz",
"timestamp": "05/12/2022 00:20:19",
"content": "#probability-statistics",
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"id": 974165925899161600,
"author_id": 754777667546644500,
"author_name": "Finez",
"timestamp": "05/12/2022 00:27:35",
"content": "can you show us what you've already done, or are you confused on the whole thing",
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"timestamp": "05/12/2022 00:27:51",
"content": "There are two methods to approach this. One is the binomial-normal approximation, and another is Bayesian.",
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"author_name": "inz",
"timestamp": "05/12/2022 00:30:51",
"content": "wait",
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"author_name": "Finez",
"timestamp": "05/12/2022 00:31:28",
"content": "also nvm this is out of my realm to help you (I'm a newb), hope you find the help you need!",
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"timestamp": "05/12/2022 00:31:39",
"content": "ohhh okay",
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"author_name": "inz",
"timestamp": "05/12/2022 00:31:47",
"content": "ill give u my example",
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"author_name": "Finez",
"timestamp": "05/12/2022 00:31:50",
"content": "I'll be seeing what derp has to say",
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"author_id": 272035441312530430,
"author_name": "derp_commander",
"timestamp": "05/12/2022 00:31:59",
"content": "This is my realm, but I would like to see you made an effort to work on it",
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"id": 974167236187131900,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/12/2022 00:32:48",
"content": "X_1,...,X_40 form a simple random sample from a N(mu_x,sigma_x^2) distribution. Y_1,...,Y_30 form a simple random sample from a N(mu_y, sigma_y^2) distribution, and the samples are independent. The values of mu_x, mu_y are unknown, and the variances are unknown.\nHypotheses: \nH0: mu_x - mu_y = 0\nH1: mu_x - mu_y =/= 0.\nTest statistic:\nZ = [X bar - Y bar]/(sqrt(sigma_x^2/40 + sigma_y^2/30))\nWe don't know sigma_x and sigma_y, but we will use the sample variances instead. Since sample sizes are fairly large, this won't matter much. The test statistic has a N(0,1) distribution under H_0.\nZ = (30500-25000)/(sqrt(1000^2/40+1500^2/30)) = 17.39\nThis seems a bit fishy, maybe instead of sample variance, they're giving variance of sample mean. That's not good terminology, but refer to other questions on this set to see which one is the expected one. Using 1000 as variance of sample mean rather than sample variance, we get:\nThis gives Z = (30500-2500)/(sqrt(1000^2+1500^2)) = 3.05\n\nThe critical region is {|Z|>1.645}.\nConclusion:\nIn either case the test statistic is in the critical region, so we reject H_0. There is sufficient evidence to claim that there is a difference in mean daily sales",
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"timestamp": "05/12/2022 00:32:58",
"content": "this my solution on this question",
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"timestamp": "05/12/2022 00:33:00",
"content": "take a look",
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"author_name": "derp_commander",
"timestamp": "05/12/2022 00:33:32",
"content": "Yeah, this is standard hypothesis testing, but your questions are about the inverse problem: experimental design",
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"author_name": "inz",
"timestamp": "05/12/2022 00:33:48",
"content": "so my solution is wrong?",
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"timestamp": "05/12/2022 00:34:15",
"content": "It's not wrong, it's just your example isn't related to the question",
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"author_name": "inz",
"timestamp": "05/12/2022 00:34:46",
"content": "you mean my solution to my answer?",
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"author_name": "derp_commander",
"timestamp": "05/12/2022 00:35:28",
"content": "You came in asking about one series of questions, then you say \"I'll give you my example\", and it's not related to those questions",
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"timestamp": "05/12/2022 00:35:43",
"content": "ohhh",
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"author_name": "derp_commander",
"timestamp": "05/12/2022 00:35:53",
"content": "I said I wanted to see the work you've done *on the question you asked*",
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"timestamp": "05/12/2022 00:35:58",
"content": "so this my example is not related on my question",
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"timestamp": "05/12/2022 00:36:36",
"content": "Not closely, no",
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"timestamp": "05/12/2022 00:36:46",
"content": "are they different topic?",
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"timestamp": "05/12/2022 00:37:10",
"content": "They're related, but they're different kinds of problems",
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"timestamp": "05/12/2022 00:39:41",
"content": "ohhh okie so ill try to solve this and show to you right?",
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"timestamp": "05/12/2022 00:40:31",
"content": "Yes. I'm not here to do your homework for you. I'm here to help you learn how to do it yourself. But first I need to see how much you can do on your own.",
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"timestamp": "05/12/2022 00:48:59",
"content": "step1\n150%\n50%\n95%\n\nstep2\n150\n50\nstep3\n150%=+1.5\n50%=+0.5\n95%=+0.95\nstep4\n0.95p\n\nstep5\n0.95p\n\nstep6\n=0.95E\nE=0.95z/a2\nstep 7\nconclusion:\ntherefore, the results are 0.95z/a2",
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"timestamp": "05/12/2022 00:49:11",
"content": "also can i ask something",
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"timestamp": "05/12/2022 00:49:22",
"content": "the example i showeed is it correct or wrong?",
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"timestamp": "05/12/2022 00:51:04",
"content": "@derp_commander",
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"timestamp": "05/12/2022 00:51:16",
"content": "I... have no idea what you just wrote",
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"timestamp": "05/12/2022 00:52:12",
"content": "sorry i dont know how to solve this",
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"timestamp": "05/12/2022 00:53:09",
"content": "The questions you asked are, \"Given our prior information, how many samples do we need to take in order to determine the parameter of the distribution to within an acceptable range?\"",
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"author_name": "inz",
"timestamp": "05/12/2022 00:53:57",
"content": "50?",
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"timestamp": "05/12/2022 00:54:13",
"content": "You're just guessing",
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"timestamp": "05/12/2022 00:54:45",
"content": "There are specific procedures to determine the number required",
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"author_name": "inz",
"timestamp": "05/12/2022 00:55:55",
"content": "what shoulld i do?",
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"timestamp": "05/12/2022 00:56:23",
"content": "The method I'm more familiar with is the Bayesian method.",
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"timestamp": "05/12/2022 00:57:24",
"content": "sorry i was sick when my teacher is teaching this lesson",
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"timestamp": "05/12/2022 00:57:31",
"content": "and i dont have any idea on this",
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"timestamp": "05/12/2022 00:57:40",
"content": "Oh, I see. Two of your questions are about hypothesis testing, and two about sample sizes.",
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"timestamp": "05/12/2022 00:59:24",
"content": "As far as the sample size questions, I usually use a Bayesian method. If you have a yes or no question, you don't know anything at the start except for the fact that the proportion of \"yes\" answers must be between 0% and 100%",
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"timestamp": "05/12/2022 00:59:59",
"content": "we dont have yes or no",
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"timestamp": "05/12/2022 01:01:01",
"content": "The sample size problems are yes or no: customer has a savings account or not, and student will vote for her or not",
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"timestamp": "05/12/2022 01:01:48",
"content": "They are binomial questions",
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"timestamp": "05/12/2022 01:04:50",
"content": "Essentially the same as flipping a biased coin repeatedly",
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"timestamp": "05/12/2022 01:06:35",
"content": "okay and what will happen",
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"timestamp": "05/12/2022 01:08:33",
"content": "Well at the start, we don't know. Except we will have some yes answers, and some no answers. And the proportion of each to the total will be less than 100%",
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"timestamp": "05/12/2022 01:09:15",
"content": "But in these problems, we do know *something*. We have a prior sample.",
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"author_name": "inz",
"timestamp": "05/12/2022 01:09:33",
"content": "so i need a little survey?",
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"timestamp": "05/12/2022 01:10:24",
"content": "The problem asks how many *more* people should you survey in order to figure out the \"yes\" proportion as well as you'd like to know it.",
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"timestamp": "05/12/2022 01:11:15",
"content": "idk why but my classmate does not do this i really do not know",
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"timestamp": "05/12/2022 01:11:54",
"content": "You're lucky you have a cute Genshin pfp, because otherwise I would have lost patience a long time ago.",
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"timestamp": "05/12/2022 01:12:45",
"content": "sorry for the trouble",
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"timestamp": "05/12/2022 01:14:43",
"content": "A good representation of our prior knowledge is the beta distribution. If the number of \"yes\" answers in the prior survey is $s$ and the total number sampled $N$, then the parameters of the distribution are: $$\\alpha = s + 1, \\beta = N - s + 1$$",
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"timestamp": "05/12/2022 01:14:46",
"content": "**derp\\_commander**",
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"timestamp": "05/12/2022 01:17:27",
"content": "okay i will ask my classmates",
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"timestamp": "05/12/2022 01:18:09",
"content": "Do you understand anything I've said?",
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"author_name": "inz",
"timestamp": "05/12/2022 01:20:15",
"content": "this is the step one?",
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"timestamp": "05/12/2022 01:22:10",
"content": "I'd like to think understanding what I'm saying is more like step 0",
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"timestamp": "05/12/2022 01:23:42",
"content": "okayy",
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"timestamp": "05/12/2022 01:27:07",
"content": "Also, reading more closely, it looks like your particular class uses the normal binomial approximation",
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"timestamp": "05/12/2022 01:29:41",
"content": "A binomial distribution with a sample size $n$ and proportion $p$ has a mean of $np$ and a variance of $np(1-p)$. That's enough to make a two-moment normal approximation to the binomial, which is reasonably good.",
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"timestamp": "05/12/2022 01:29:44",
"content": "**derp\\_commander**",
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"timestamp": "05/12/2022 01:35:09",
"content": "Because of the linearity of the normal distribution, if you divide this variate by $n$, you get another normal random variate with mean $p$ and variance $\\frac{p(1-p)}{n}$",
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"timestamp": "05/12/2022 01:35:11",
"content": "**derp\\_commander**",
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"timestamp": "05/12/2022 01:37:01",
"content": "You can now use that to build a confidence interval",
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"timestamp": "05/12/2022 01:42:01",
"content": "@inz Has your question been resolved?",
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"timestamp": "05/12/2022 01:42:36",
"content": "so this is the method",
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"timestamp": "05/12/2022 01:52:03",
"content": "hello?",
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"timestamp": "05/12/2022 02:22:03",
"content": "@inz Has your question been resolved?",
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"timestamp": "05/12/2022 03:22:13",
"content": "@inz Has your question been resolved?",
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"timestamp": "05/12/2022 05:25:02",
"content": "@inz Has your question been resolved?",
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"timestamp": "05/12/2022 09:27:53",
"content": "@inz Has your question been resolved?",
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"timestamp": "05/12/2022 09:29:12",
"content": "Channel closed",
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}
] |
help-9
|
bd455d50ffcb469b931a0a1169687432
|
199,897 |
[
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"timestamp": "05/12/2022 09:29:18",
"content": ".reopen",
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},
{
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"author_id": 805217272087838700,
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"timestamp": "05/12/2022 09:29:20",
"content": "✅",
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{
"id": 974302279819743200,
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"timestamp": "05/12/2022 09:29:25",
"content": "@Helpers",
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},
{
"id": 974302329450950800,
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"timestamp": "05/12/2022 09:29:37",
"content": "please help me statistics",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 09:34:54",
"content": "Where are you at?",
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"timestamp": "05/12/2022 09:38:27",
"content": "scrooll up",
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"timestamp": "05/12/2022 09:39:09",
"content": "Haha",
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"timestamp": "05/12/2022 09:39:34",
"content": "can you help me?",
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"author_name": "Castroploiin¹",
"timestamp": "05/12/2022 12:16:49",
"content": "...?",
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},
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"id": 974347239851966600,
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"author_name": "riemann",
"timestamp": "05/12/2022 12:28:04",
"content": ".close",
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},
{
"id": 974347241663889400,
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 12:28:04",
"content": "Channel closed",
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}
] |
help-9
|
49dc3af3c5e24db3baa6ee67dc6c259f
|
199,898 |
[
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"content": "Available help channel!",
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},
{
"id": 956792891978678300,
"author_id": 823152986552664000,
"author_name": "canol",
"timestamp": "03/25/2022 01:53:21",
"content": "Is it correct to say that the probability for a given nucleus to decay in time dt is λdt?",
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},
{
"id": 956792893845147600,
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"content": "Pinned a message.",
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"timestamp": "03/25/2022 02:08:21",
"content": "@canol Has your question been resolved?",
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"author_name": "Name_me",
"timestamp": "03/25/2022 02:35:01",
"content": "I think so",
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"timestamp": "03/25/2022 02:35:18",
"content": "thanks",
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},
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"content": "@canol Has your question been resolved?",
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"timestamp": "03/25/2022 03:12:47",
"content": "Channel closed",
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help-9
|
fd890883d6e642ea8eee77eaaec9dbfc
|
199,899 |
[
{
"id": 974349927838781400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 12:38:45",
"content": "Available help channel!",
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"id": 974350249969741800,
"author_id": 276784237615775740,
"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:40:02",
"content": "Does the commutative property of addition mean that a + b + c = c + a + b ?",
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"author_name": "illuminator3",
"timestamp": "05/12/2022 12:40:15",
"content": "a + b = b + a",
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"author_name": "illuminator3",
"timestamp": "05/12/2022 12:40:31",
"content": "a + b + c = c + a + b follows from that",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:40:47",
"content": "How?",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/12/2022 12:42:42",
"content": "a+b+c = (a+b)+c = c+(a+b) = c+a+b",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:43:21",
"content": "That only follows if you assume associativity.",
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"id": 974351169948373000,
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:43:41",
"content": "Let's say we have an operation which is not associative",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:45:14",
"content": "e.g. I've read in many places that floating point addition with a fixed number of significant figures is commutative but not associative",
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"content": "We have (1 + 1e100) + -1e100 = 0, and 1 + (1e100 + -1e100) = 1\n\nDoes that therefore imply its not really commutative either ?",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:46:46",
"content": "Because of course we have:\n\n1 + 1e100 + -1e100 = 0, and 1e100 + -1e100 + 1 = 1",
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"timestamp": "05/12/2022 12:49:40",
"content": "If you weren't assuming associativity then you should have put brackets in your original expression",
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"timestamp": "05/12/2022 12:49:54",
"content": "I didn't",
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"id": 974352822495764500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/12/2022 12:50:15",
"content": "I know, you should have",
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"id": 974352892335116300,
"author_id": 276784237615775740,
"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:50:32",
"content": "But why?",
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"id": 974352992457355400,
"author_id": 276784237615775740,
"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:50:56",
"content": "I'm asking if the commutative property implies a + b + c = c + a + b",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:52:13",
"content": "or lets say f(f(a,b),c) = f(f(c,a),b) to get away from addition",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 12:54:17",
"content": "only with associativity",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 12:55:12",
"content": "and closure, i guess",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 12:55:42",
"content": "Right, the reason this comes up is it would mean a lot of content about the commutative property on the internet is wrong.\n\neg: https://www.youtube.com/watch?v=HwSszh3L358",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 12:55:52",
"content": "commutivity means for any a and b in your space, a+b = b+a\nif you have associativity and closure, then a+b+c = (a+b)+c, and now (a+b) is in your space.",
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"id": 974354401005273100,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/12/2022 12:56:31",
"content": "he's using associativity without saying it",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 12:56:53",
"content": "5+8+5 = 5+(8+5) = 5+(5+8) = 5+5+8",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/12/2022 12:57:18",
"content": "he's also adding over the real numbers, which have a lot of nice properties",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 13:02:43",
"content": "I guess this is a special case because he's got the same number twice, so it actually doesn't depend on associativity",
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"id": 974356320595619800,
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 13:04:09",
"content": "Oops, except for the last one which does",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 13:04:22",
"content": "But the first three ones you wrote only result in 5 + 8 and 13 + 5",
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"id": 974356373699694600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/12/2022 13:04:22",
"content": "do you have closure in your floating point addition of sig figs?",
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"timestamp": "05/12/2022 13:04:36",
"content": "Yes",
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"author_name": "gnomechomsky",
"timestamp": "05/12/2022 13:08:48",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 13:08:49",
"content": "Channel closed",
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}
] |
help-9
|
7f272d6dae0e41968113852fba4a451e
|
199,900 |
[
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"content": "Available help channel!",
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{
"id": 974360869687423000,
"author_id": 710555795921698800,
"author_name": "Juan1223",
"timestamp": "05/12/2022 13:22:14",
"content": "Can someone explain to me what I have to do pls?",
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"content": "Pinned a message.",
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"timestamp": "05/12/2022 13:24:12",
"content": "I need to find 0",
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"timestamp": "05/12/2022 13:28:23",
"content": "I need help with this",
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"content": "Use another channel from Math help available",
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"content": "@Juan1223 Has your question been resolved?",
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"content": ".close",
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] |
help-9
|
77c2914f07ae4ce0a5f2307b13b80e15
|
199,901 |
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"content": "Pinned a message.",
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help-9
|
5ccedc5771184309b765c22f48fe1ec2
|
199,902 |
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"content": "Someone explain pleasr",
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"author_id": 485545887255494660,
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"timestamp": "05/12/2022 14:01:45",
"content": "Hi",
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"author_id": 829722938818560000,
"author_name": "Zyn",
"timestamp": "05/12/2022 14:01:51",
"content": "Hii",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 14:10:33",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_name": "Zyn",
"timestamp": "05/12/2022 14:17:04",
"content": "Someone?",
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"id": 974374691949121500,
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"author_name": "Zyn",
"timestamp": "05/12/2022 14:17:09",
"content": "@Helpers",
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"timestamp": "05/12/2022 14:32:09",
"content": "@Zyn Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
0aa033730eff492887488522856d3c83
|
199,903 |
[
{
"id": 974382496500314100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 14:48:10",
"content": "Available help channel!",
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"reference": null
},
{
"id": 974383165298856000,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 14:50:49",
"content": "Helloo! \nHow do you find the points of intersection when a line and parabola is meeting?",
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},
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"id": 974383167278559400,
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"content": "Pinned a message.",
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"author_name": "Stari",
"timestamp": "05/12/2022 14:52:25",
"content": "The equations are in case it’s not clear,\n\nLinear equation: 2x+3y=7\nParabola: y= –2x ²+2x+5",
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"id": 974384278882353200,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/12/2022 14:55:15",
"content": "Form a system",
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},
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"id": 974384533904457700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 14:56:16",
"content": "these equations don't meet",
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"id": 974384717308756100,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 14:56:59",
"content": "u forgot to add the - to the 2x^2",
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},
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"id": 974384759641886700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 14:57:09",
"content": "so any ways",
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},
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"id": 974385160193736700,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 14:58:45",
"content": "Ohh",
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},
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"id": 974385491283701900,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:00:04",
"content": "$$\\begin{cases} 2x+3y=7 \\\\ y=2x ²+2x+5 \\end{cases} \\Rightarrow \\begin{cases} y=\\frac{7}{3}-\\frac{2}{3}x \\\\ y=2x ²+2x+5 \\end{cases}$$",
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"id": 974385503107440600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 15:00:07",
"content": "**Chunkin**",
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"id": 974385715100139500,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:00:57",
"content": "$$\\frac{7}{3}-\\frac{2}{3}x = 2x ²+2x+5 $$",
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},
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"id": 974385726575755400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 15:01:00",
"content": "**Chunkin**",
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"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:02:24",
"content": "$$2 x^2 - \\frac{8x}{3} - \\frac{8}{3} = 0$$",
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},
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"id": 974386083741728800,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:02:25",
"content": "1.66 right?",
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"id": 974386221352644700,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:02:58",
"content": "oh forogot to make the -2x^2 negative",
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"id": 974386256937103500,
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"timestamp": "05/12/2022 15:03:06",
"content": "**Chunkin**",
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"id": 974386365812834300,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:03:32",
"content": "no",
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"id": 974386407005122600,
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"author_name": "Chunkin",
"timestamp": "05/12/2022 15:03:42",
"content": "use the quadratic formula",
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"author_name": "Chunkin",
"timestamp": "05/12/2022 15:04:14",
"content": "",
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"id": 974387449591631900,
"author_id": 429072635851440100,
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"timestamp": "05/12/2022 15:07:51",
"content": "Ohhh",
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"id": 974387489215226000,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:08:00",
"content": "I got 0.66 :D",
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},
{
"id": 974387825761992700,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:09:20",
"content": "X1= -0.66 + 0.94",
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},
{
"id": 974387938987229200,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:09:47",
"content": "I used the calculator I’m not sure what the “+0.94” means",
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},
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"id": 974388423647449100,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:11:43",
"content": "This is supposed to be -2x ² right?",
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"id": 974389857621254300,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:17:25",
"content": "I can factor this as well right? Instead of the quadratic formula?",
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},
{
"id": 974390725150142600,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:20:52",
"content": "Oo I see now",
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},
{
"id": 974390795677356000,
"author_id": 429072635851440100,
"author_name": "Stari",
"timestamp": "05/12/2022 15:21:08",
"content": "Thank you @Chunkin !!💖😃",
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"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:21:40",
"content": "positive 2x^2, I already fixed the issues",
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"id": 974390993149374500,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:21:56",
"content": "but yeah yw",
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"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/12/2022 15:22:25",
"content": ":KEK:",
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},
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"id": 974394571536609400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 15:36:09",
"content": "@Stari Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 15:51:09",
"content": "Channel closed",
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}
] |
help-9
|
f3da922f5a794267a632872e319c0996
|
199,904 |
[
{
"id": 974398600459194400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 15:52:09",
"content": "Available help channel!",
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},
{
"id": 974399787191377900,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 15:56:52",
"content": "Hello",
"attachments": [],
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},
{
"id": 974399789217230800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 15:56:53",
"content": "Pinned a message.",
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{
"id": 974399907404341200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/12/2022 15:57:21",
"content": ":JustAsk:",
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},
{
"id": 974399921237143600,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 15:57:24",
"content": "I am preparing for an exam similar to the SAT and a question was like this",
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},
{
"id": 974399933186711600,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 15:57:27",
"content": "The problem goes like this: \nFind the complex number z in order that the following holds: 3z - z(conjugate number) = 2 + i",
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},
{
"id": 974400024198914000,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 15:57:49",
"content": "Apologies in advance for the bad translation",
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},
{
"id": 974403089467596800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 16:10:00",
"content": "$3z - z \\overline{z} = 2 + i$ ?",
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},
{
"id": 974403099781365900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 16:10:02",
"content": "**riemann**",
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"id": 974403154517057500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 16:10:15",
"content": "observe $z\\overline{z} = |z|^2$",
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},
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"id": 974403164138786800,
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"timestamp": "05/12/2022 16:10:17",
"content": "**riemann**",
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"timestamp": "05/12/2022 16:15:15",
"content": "@NiSi Has your question been resolved?",
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{
"id": 974404677514973200,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:16:18",
"content": "No sorry",
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},
{
"id": 974404721110577300,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:16:29",
"content": "I didnt mean z times the conjugate",
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},
{
"id": 974404805663531000,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:16:49",
"content": "I meant 3z minus the z with the slash",
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},
{
"id": 974404938765582500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 16:17:20",
"content": "$3z - \\overline{z} = 2 + i$ ?",
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},
{
"id": 974404949209391200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 16:17:23",
"content": "**riemann**",
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},
{
"id": 974404980066893800,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:17:30",
"content": "Yess",
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},
{
"id": 974405169955614700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 16:18:16",
"content": "just plug in the general formula for a complex number broken down into real and imaginary parts then equate the real and imaginary parts separately",
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},
{
"id": 974405260653252600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 16:18:37",
"content": "if z = a + i b and w = c + i d , then z = w if and only if a = c and b = d",
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},
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"id": 974405310846496900,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:18:49",
"content": "I kinda tried that",
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"id": 974405357386485800,
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"timestamp": "05/12/2022 16:19:00",
"content": "But dont you have to know z first",
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},
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"id": 974405416916230100,
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"author_name": "riemann",
"timestamp": "05/12/2022 16:19:14",
"content": "no you don't",
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},
{
"id": 974405573028216800,
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"author_name": "NiSi",
"timestamp": "05/12/2022 16:19:52",
"content": "Im a bit confused but since you made it seem so easy then it should be",
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},
{
"id": 974405618171523100,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:20:02",
"content": "Thank you either way",
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},
{
"id": 974406396533694500,
"author_id": 358264512232554500,
"author_name": "NiSi",
"timestamp": "05/12/2022 16:23:08",
"content": ".close",
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},
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"id": 974406398161072100,
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 16:23:08",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c6c5d9d14d584c719c10e614ea5474d3
|
199,905 |
[
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"timestamp": "05/12/2022 16:24:09",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "05/12/2022 16:30:42",
"content": "what have you tried?",
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"author_name": "Msvyx",
"timestamp": "05/12/2022 16:32:01",
"content": "nthn rlly someone told me its squareroot(5)xsquareroot(12) but y?",
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"timestamp": "05/12/2022 16:35:45",
"content": "gtg sleep gn",
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},
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"author_name": "Msvyx",
"timestamp": "05/12/2022 16:35:47",
"content": ".close",
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"timestamp": "05/12/2022 16:35:47",
"content": "Channel closed",
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}
] |
help-9
|
695118962f5a46528567744dacb2936a
|
199,906 |
[
{
"id": 974410438647373800,
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"timestamp": "05/12/2022 16:39:12",
"content": "Available help channel!",
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"id": 974410933675888600,
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"timestamp": "05/12/2022 16:41:15",
"content": "i've found t^2",
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"timestamp": "05/12/2022 16:41:30",
"content": "which is actually just the identity",
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"timestamp": "05/12/2022 16:41:33",
"content": "Is it matrix",
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"timestamp": "05/12/2022 16:41:39",
"content": "i know",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 16:42:12",
"content": "If T^2 is the identity, then T*T is the identity.... whats the definition of an inverse",
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"timestamp": "05/12/2022 16:42:36",
"content": "inverse would be 1/determinate",
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"timestamp": "05/12/2022 16:43:16",
"content": "that's how you compute an inverse... what does an inverse do when you multiply it by the original matrix",
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"timestamp": "05/12/2022 16:43:40",
"content": "it turns it into 1 essentially",
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"id": 974411577287639000,
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"timestamp": "05/12/2022 16:43:43",
"content": "an identity",
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"id": 974411674180268000,
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"author_name": "avg",
"timestamp": "05/12/2022 16:44:06",
"content": "Into identity matrix",
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"timestamp": "05/12/2022 16:44:14",
"content": "So the inverse is a matrix you multiply to get the ideneity..... and T*T is the identity.....",
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"timestamp": "05/12/2022 16:44:16",
"content": "Of same order",
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"timestamp": "05/12/2022 16:44:37",
"content": "So what's the inverse of T?",
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"timestamp": "05/12/2022 16:45:07",
"content": "so t inverse is essentially 1",
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"author_name": "MrLuke",
"timestamp": "05/12/2022 16:45:18",
"content": "it is something that makes the matrix",
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"id": 974411981463380000,
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"timestamp": "05/12/2022 16:45:20",
"content": "100",
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"id": 974411985569611800,
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"timestamp": "05/12/2022 16:45:21",
"content": "010",
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"id": 974411993652011000,
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"timestamp": "05/12/2022 16:45:22",
"content": "001",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 16:46:10",
"content": "$TT^{-1} = (identity matrix)$ yes. But you just said $T^2 = TT=(identity matrix)$",
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"id": 974412208412954600,
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"author_name": "TeXit",
"timestamp": "05/12/2022 16:46:14",
"content": "**Zybikron**",
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"timestamp": "05/12/2022 16:46:54",
"content": "But a matrix cant be equal to a number right?💀",
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"timestamp": "05/12/2022 16:46:56",
"content": "idk",
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"timestamp": "05/12/2022 16:47:08",
"content": "well yes you are right it can't",
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"timestamp": "05/12/2022 16:47:25",
"content": "but you can think of it like that if you want to solve a matrix equation",
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"timestamp": "05/12/2022 16:47:48",
"content": "Even in matrix equation the teacher makes us put I",
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"timestamp": "05/12/2022 16:47:55",
"content": "so what is T^-1",
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"id": 974412677738815600,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "05/12/2022 16:48:06",
"content": "is it just T",
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"id": 974412678804177000,
"author_id": 473405391167029250,
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"timestamp": "05/12/2022 16:48:06",
"content": "its the matrix you multiply T by to get the identity matrix",
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"id": 974412688677556200,
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"timestamp": "05/12/2022 16:48:08",
"content": "yea",
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"id": 974412716779384800,
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"author_name": "MrLuke",
"timestamp": "05/12/2022 16:48:15",
"content": "ah",
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"id": 974412745384546300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/12/2022 16:48:22",
"content": "inverses are unique",
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"id": 974412749331366000,
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"timestamp": "05/12/2022 16:48:23",
"content": "alright thanks i kinda get it",
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"id": 974412797893017700,
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"author_name": "MrLuke",
"timestamp": "05/12/2022 16:48:34",
"content": "just an odd question",
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"author_name": "Zybikron",
"timestamp": "05/12/2022 16:48:49",
"content": "So if T^2 is the identity, then T is T-inverse",
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"id": 974412890884939800,
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"timestamp": "05/12/2022 16:48:56",
"content": "yeah",
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"id": 974414873293369300,
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"timestamp": "05/12/2022 16:56:49",
"content": "thanks",
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},
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 17:11:49",
"content": "@MrLuke Has your question been resolved?",
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"timestamp": "05/12/2022 17:26:50",
"content": "Channel closed",
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}
] |
help-9
|
0945076f24f942bc86ced1c5688fe1a4
|
199,907 |
[
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"timestamp": "05/12/2022 17:27:50",
"content": "Available help channel!",
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{
"id": 974423717214044300,
"author_id": 240225041353146370,
"author_name": "bobbyt",
"timestamp": "05/12/2022 17:31:58",
"content": "anybody know what multiplicative persistance is ?",
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"id": 974426548763500500,
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"timestamp": "05/12/2022 17:43:13",
"content": "well i know what it is",
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"id": 974426643659620400,
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"timestamp": "05/12/2022 17:43:35",
"content": "but i cant seem to find how to implement somethin to find",
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"id": 974426646524330000,
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"content": "it",
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"id": 974426920244629500,
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"author_name": "iCaird",
"timestamp": "05/12/2022 17:44:41",
"content": "So then what's your actual question?",
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"id": 974428740962627600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/12/2022 17:51:55",
"content": "```• Ask your math question in a clear, concise manner.\n• Show your work, and if possible, explain where you are stuck.\n```",
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"timestamp": "05/12/2022 17:54:33",
"content": "what is a formula for finding multiplicative persistance of an integer",
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"timestamp": "05/12/2022 17:56:23",
"content": "what is the context of this problem",
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"timestamp": "05/12/2022 17:56:26",
"content": "is it homework for a class?",
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"id": 974430008510644200,
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"timestamp": "05/12/2022 17:56:58",
"content": "no",
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"timestamp": "05/12/2022 17:57:03",
"content": "it's an algorithm question on leetcode",
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"id": 974430073627213800,
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"timestamp": "05/12/2022 17:57:13",
"content": "i just want an equation and then i can implement it on python",
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"timestamp": "05/12/2022 17:57:17",
"content": "this isn't really a computer science server",
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"content": "its a math server",
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"content": "i'm aware",
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"content": "not every formula is one that math people know",
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"content": "if you have a math problem, then this is a good place",
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"content": "this is a math problem",
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"content": "but you're just asking for definitions about something that isn't in math",
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"content": "nah that's a cs concept",
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"content": "I mean you're asking how to code something no?",
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"content": "no",
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"content": "i am not asking how to code something",
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"content": "i'm asking for an equation, for multiplicative persistance",
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"content": "That's the definition of persistence, not multiplicative persistence",
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"content": "Google harder",
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"content": "that page contains the definition of multiplicative persistence",
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"content": "why are you guys being pedantic",
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"content": "i guess it is well known that the 1st result from google is always the right answer",
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"content": "you're in a math server",
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"content": "Why are you not putting in the effort to research things properly?",
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"content": "???",
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"timestamp": "05/12/2022 18:01:11",
"content": "persistence != multiplicative persistence",
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"timestamp": "05/12/2022 18:01:17",
"content": "Again, this is *persistence*",
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"timestamp": "05/12/2022 18:01:24",
"content": "^ computer science syntax",
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"id": 974431140406493200,
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"timestamp": "05/12/2022 18:01:27",
"content": "should be able to undestand",
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"timestamp": "05/12/2022 18:01:30",
"content": "`Usually, this involves additive or multiplicative persistence`",
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"timestamp": "05/12/2022 18:01:44",
"content": "i don't know why i am arguing about the semantics of a wikipedia page",
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"timestamp": "05/12/2022 18:02:09",
"content": "you're arguing over not being able to screenshot the relevant parts",
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"timestamp": "05/12/2022 18:02:20",
"content": "Read the rest of that sentence",
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"timestamp": "05/12/2022 18:02:21",
"content": "i did screenshot that man",
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"author_name": "bee",
"timestamp": "05/12/2022 18:02:44",
"content": "you're not even being pedantic *correctly*\ni honestly don't think a clear border exists between cs and maths",
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"timestamp": "05/12/2022 18:02:53",
"content": "so you answered your own question?",
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"timestamp": "05/12/2022 18:04:36",
"content": "no dude why are you being so abrasive, i am having trouble that's why i came here",
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"timestamp": "05/12/2022 18:04:49",
"content": "now that you google'd it and know the wiki, what is your question",
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"author_name": "riemann",
"timestamp": "05/12/2022 18:05:31",
"content": "you asked what something is, then you googled it and shared it here. i don't know what you're looking for",
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"timestamp": "05/12/2022 18:05:59",
"content": "is this your next question?",
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"timestamp": "05/12/2022 18:06:43",
"content": "multiplicative persistence is the number of times you can multiply all of the digits of a number together until it's 1 digit long",
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"timestamp": "05/12/2022 18:07:19",
"content": "that should be enough to compute it",
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"timestamp": "05/12/2022 18:09:58",
"content": "i don't think there's a closed expression for it in terms of common algebraic operations on numbers, but most programming languages provide a lot more than just + - * / **",
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"timestamp": "05/12/2022 18:10:13",
"content": "they give an example here",
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"timestamp": "05/12/2022 18:10:15",
"content": "`39 --> 3 (because 3*9 = 27, 2*7 = 14, 1*4 = 4 and 4 has only one digit)`",
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"content": "ahhhh",
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"timestamp": "05/12/2022 18:10:54",
"content": "i see so 3 * 9 == 27, and then you split than to 2 * 7 , and then you split the sum of that which is 1 *4 = 4",
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"timestamp": "05/12/2022 18:11:01",
"content": "yep",
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"timestamp": "05/12/2022 18:11:13",
"content": "thank you",
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"content": "i'm not a man",
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"timestamp": "05/12/2022 18:11:26",
"content": "sorry, thank you",
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"content": "appreciate",
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"timestamp": "05/12/2022 18:26:54",
"content": "@bobbyt Has your question been resolved?",
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"timestamp": "05/12/2022 18:41:54",
"content": "Channel closed",
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}
] |
help-9
|
16d7618dfaea4631821bc23d0329295c
|
199,908 |
[
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "05/12/2022 21:23:06",
"content": "Lmao",
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"content": "Ok",
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"content": "@Moderators",
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"content": ".close",
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] |
help-9
|
b23b722877ae47c4bfe80a43e7059bf3
|
199,909 |
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"content": "Available help channel!",
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"timestamp": "03/25/2022 03:22:57",
"content": "Hi ^^ im really struggling with this question and i feel like i fundamentally dont understand it. Im supposed show that given x_1, x_2, x_3 e R that V = (x_2-x_1)(x_3-x_1)(x_3-x_1) using row operations. I do know however how to use row operations",
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"content": "@Eleanor Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "03/25/2022 04:11:28",
"content": "@Eleanor Has your question been resolved?",
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"timestamp": "03/25/2022 05:11:39",
"content": "@Eleanor Has your question been resolved?",
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"timestamp": "03/25/2022 06:11:39",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
01b18ac3408c439eb8402c38cccaf3f9
|
199,910 |
[
{
"id": 974484599700852900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "05/12/2022 21:33:53",
"content": "👍",
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},
{
"id": 974484669666041900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "05/12/2022 21:34:10",
"content": "Funny shit man",
"attachments": [],
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},
{
"id": 974484816181489700,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "05/12/2022 21:34:45",
"content": "I'm so tempted to talk to them in DMs lmao",
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},
{
"id": 974484837488554000,
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 21:34:50",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974486011092557800,
"author_id": 335503207688175600,
"author_name": "Bart",
"timestamp": "05/12/2022 21:39:30",
"content": "what are the rules for D",
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"id": 974486012468277200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 21:39:30",
"content": "Pinned a message.",
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{
"id": 974486069309472800,
"author_id": 335503207688175600,
"author_name": "Bart",
"timestamp": "05/12/2022 21:39:43",
"content": "if its less than 0 it is a saddle correct",
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},
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"id": 974486572097470600,
"author_id": 335503207688175600,
"author_name": "Bart",
"timestamp": "05/12/2022 21:41:43",
"content": "Also delf/dely=fy correct",
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},
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"timestamp": "05/12/2022 21:56:44",
"content": "@Bart Has your question been resolved?",
"attachments": [],
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"timestamp": "05/12/2022 22:11:44",
"content": "Channel closed",
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}
] |
help-9
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02fadf39118b4f02af7842d866808ac9
|
199,911 |
[
{
"id": 974494376900325400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 22:12:44",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974494575395737600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:13:32",
"content": "How do I do this integral\n$\\int \\frac{sec^2x}{(secx + tanx)^{9/2}}dx$",
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},
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"id": 974494577299959800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 22:13:32",
"content": "Pinned a message.",
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{
"id": 974494612049780700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 22:13:40",
"content": "**Swas.py**",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:14:21",
"content": "I thought about converting secx+ tanx to tan(pi/4 + x/2) to maybe use subsitution",
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"id": 974494868145569900,
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"timestamp": "05/12/2022 22:14:41",
"content": "but I don't think that'd work",
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},
{
"id": 974495070944374800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:15:30",
"content": "if I do t = tanx \n$\\int \\frac{dt}{(\\sqrt{1+t^2}+ t)^{9/2}}$",
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"id": 974495131443036200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 22:15:44",
"content": "**Swas.py**",
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"id": 974495422703894700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:16:54",
"content": "Is this guaranteed to exist?",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:17:04",
"content": "it was in a past exam so yes",
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},
{
"id": 974495731652120600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:18:07",
"content": "hmm",
"attachments": [],
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},
{
"id": 974495790510780400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:18:21",
"content": "unless I remember the question wrong 💀",
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},
{
"id": 974495832508338200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:18:31",
"content": "That 9/2 is brutal, haha",
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},
{
"id": 974495850376093800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:18:35",
"content": "i feel like u = term being raised to power is required",
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"id": 974496018785792000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:19:16",
"content": "found it",
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"id": 974496156879040500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:19:49",
"content": "tried to use a an integral calculator and it gave up\\",
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},
{
"id": 974496161153040400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:19:50",
"content": "💀",
"attachments": [],
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"reference": null
},
{
"id": 974496411322298400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:20:49",
"content": "$\\int \\frac{sec^2x}{(tan(\\pi/4 +x/2))^{9/2}}dx$",
"attachments": [],
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"reference": null
},
{
"id": 974496469702819800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/12/2022 22:21:03",
"content": "**Swas.py**",
"attachments": [
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"id": 974496529870094300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:21:17",
"content": "I can't use substitution here right?",
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},
{
"id": 974496580101107700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:21:29",
"content": "You have a huge advantage because you have possible answers",
"attachments": [],
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"reference": null
},
{
"id": 974496629988130800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:21:41",
"content": "Just differentiate them all",
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},
{
"id": 974496657204998100,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:21:48",
"content": ":wtf:",
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},
{
"id": 974496707322708100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:22:00",
"content": "u = sec(x) + tan(x)\ndu = (sec(x)^2 + sec(x) tan(x)) dx\nthis should work somehow",
"attachments": [],
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},
{
"id": 974496708186746900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:22:00",
"content": "Well, I shouldn't say \"just\". They're brutal too",
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},
{
"id": 974496750914126000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:22:10",
"content": "i feel",
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},
{
"id": 974496892547367000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:22:44",
"content": "Ah but yeah, since they're all in the form sec(x) + tan(x), the u sub is implied",
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"id": 974497125436108800,
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"author_name": "Swas.py",
"timestamp": "05/12/2022 22:23:39",
"content": "",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:23:58",
"content": "how is secx - tanx = 1/t",
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},
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"id": 974497419595251700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:24:50",
"content": "Actually you only have to do one derivative, and change the signs to fit the integrand",
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"author_name": "Swas.py",
"timestamp": "05/12/2022 22:25:45",
"content": "the question I found on google had options the test didn't",
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"id": 974497731114590300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/12/2022 22:26:04",
"content": "Ah yeah then that's out",
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},
{
"id": 974497759686185000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:26:11",
"content": "(sec(x) + tan(x))(sec(x) - tan(x)) = sec^2 - tan^2 = 1",
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"id": 974497791600640100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:26:18",
"content": "if sec(x) + tan(x) = t",
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},
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"id": 974497800773599400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:26:20",
"content": "ah",
"attachments": [],
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},
{
"id": 974497821518602200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:26:25",
"content": "alright",
"attachments": [],
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},
{
"id": 974497835888287700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:26:29",
"content": "then for t(sec(x) - tan(x)) = 1, we get it equals 1/t",
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},
{
"id": 974497852472574000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:26:33",
"content": "👍",
"attachments": [],
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},
{
"id": 974497883443322900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:26:40",
"content": "",
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{
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"fileName": "unknown.png",
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{
"id": 974497915957547000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:26:48",
"content": "how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974497942641717200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:26:54",
"content": "(sec - tan + sec + tan)/2 = sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974497970496110700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:27:01",
"content": "(1/t + t)/2 = sec",
"attachments": [],
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"reference": null
},
{
"id": 974498017191280600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:27:12",
"content": "ah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974498086296637600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:27:29",
"content": "man these adjustments are insane",
"attachments": [],
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},
{
"id": 974498110959140900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:27:34",
"content": "lol",
"attachments": [],
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"reference": null
},
{
"id": 974498223475535900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:28:01",
"content": "shouldn't there be a square?",
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"id": 974498274763505800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:28:14",
"content": "oh",
"attachments": [],
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},
{
"id": 974498284079022100,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:28:16",
"content": "nvm",
"attachments": [],
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},
{
"id": 974498425364185100,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/12/2022 22:28:49",
"content": "how am I even supposed to do something like this in an exam",
"attachments": [],
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},
{
"id": 974499174122922000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:31:48",
"content": "luck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974499261196664800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/12/2022 22:32:09",
"content": "and probably adderall lmao",
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},
{
"id": 974499279450275800,
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"id": 974501548598128800,
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"timestamp": "05/12/2022 22:41:14",
"content": ".close",
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{
"id": 974501550204538900,
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 22:41:14",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e5317128295646b2a67b29ace532b7ed
|
199,912 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/12/2022 22:42:15",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "05/12/2022 22:44:29",
"content": "Am I stupid or",
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"timestamp": "05/12/2022 22:45:04",
"content": "why is the numerator on the next step not 2x^2 +5x - 1",
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"id": 974502635610701800,
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"timestamp": "05/12/2022 22:45:33",
"content": "😭",
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"author_name": "ramonov",
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"content": "x^2 - x^2 = ?",
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"author_name": "Aletu",
"timestamp": "05/12/2022 22:46:12",
"content": "i thought the - next to a parentheses changes all its signs?",
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"timestamp": "05/12/2022 22:46:50",
"content": "right, so the sign of the x^2 inside the paranthesis is positive, the minus makes it negative",
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"author_name": "Aletu",
"timestamp": "05/12/2022 22:47:16",
"content": "lol my msg got deleted",
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"id": 974503141657694200,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/12/2022 22:47:34",
"content": "i think this server has auto censoring or smth",
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},
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"id": 974503227984846800,
"author_id": 254279757766590460,
"author_name": "Aletu",
"timestamp": "05/12/2022 22:47:54",
"content": "i meant to say im so R word i cant believe it. Somehow I saw it as - inside the parentheses",
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"id": 974503285245493400,
"author_id": 324471155304038400,
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"timestamp": "05/12/2022 22:48:08",
"content": "bruh",
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"id": 974503290651938800,
"author_id": 254279757766590460,
"author_name": "Aletu",
"timestamp": "05/12/2022 22:48:09",
"content": "thanks and sorry about that",
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},
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"id": 974503299657113600,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/12/2022 22:48:12",
"content": "💀",
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"timestamp": "05/12/2022 22:48:15",
"content": "np man",
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"id": 974503342724231200,
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"author_name": "Aletu",
"timestamp": "05/12/2022 22:48:40",
"content": ".close",
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"id": 974503422785097700,
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"timestamp": "05/12/2022 22:48:41",
"content": "Channel closed",
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}
] |
help-9
|
0aad0c602c93400c948e6f1746dd608a
|
199,913 |
[
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"timestamp": "05/12/2022 22:54:24",
"content": "Available help channel!",
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},
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"id": 974507023150502000,
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"id": 974507399614443500,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/12/2022 23:04:29",
"content": "any thoughts on how you might proceed?",
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"id": 974507790255149000,
"author_id": 656572269862191100,
"author_name": "Verorra",
"timestamp": "05/12/2022 23:06:02",
"content": "substitute",
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"id": 974507815811055600,
"author_id": 656572269862191100,
"author_name": "Verorra",
"timestamp": "05/12/2022 23:06:08",
"content": "but i dont get how",
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"timestamp": "05/12/2022 23:09:09",
"content": "well -x + 10y = 4",
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"id": 974508632475570200,
"author_id": 761155030513352700,
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"timestamp": "05/12/2022 23:09:23",
"content": "so when you see -x + 10y in the other equation, you can replace it with 4",
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"id": 974508795705307300,
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"timestamp": "05/12/2022 23:10:02",
"content": "oh i get now thank you 😊",
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"content": "@Verorra Has your question been resolved?",
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"id": 974513727896432600,
"author_id": 555843902217650200,
"author_name": "Swift.",
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"content": "oof they left.",
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}
] |
help-9
|
9fdecca982964459b5981f7f6250789a
|
199,914 |
[
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"id": 974517434004406300,
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"author_id": 331560154145488900,
"author_name": "plopap",
"timestamp": "05/12/2022 23:44:49",
"content": "trying to write this fourier/laplace transform expression as the integral on the right",
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"content": "i think i have to write as an integral with fourier transform then make a substitution to get rid of the exponential with inverse laplace",
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"content": "@plopap Has your question been resolved?",
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"timestamp": "05/13/2022 00:02:37",
"content": ".close",
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] |
help-9
|
36303389185c4a8392580b0e0179fcfa
|
199,915 |
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"content": "Available help channel!",
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"author_id": 329571312240558100,
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"timestamp": "05/13/2022 03:50:39",
"content": "I know this is simple but i can't understand how to becomes this number",
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"timestamp": "05/13/2022 03:51:21",
"content": "In my head this should be the answer",
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"timestamp": "05/13/2022 03:52:13",
"content": "x^(-2)=1/x^2=2",
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"timestamp": "05/13/2022 03:55:04",
"content": "x^2=1/2\nx=1/root of 2=1*root of 2/root of 2*root of 2=root of 2/2",
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"id": 974581790310281200,
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"timestamp": "05/13/2022 04:00:05",
"content": "$2=x^{-2}$ means $2=\\frac{1}{x^2}$",
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"id": 974581800460501000,
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"timestamp": "05/13/2022 04:00:08",
"content": "**Sooshon**",
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"content": "$2x^2 = 1$",
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"content": "**Sooshon**",
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"content": "$x^2=\\frac{1}{2}$",
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"content": "**Sooshon**",
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"content": "$\\sqrt{x^2}=\\sqrt{\\frac{1}{2}}$",
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"content": "**Sooshon**",
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"content": "2 can be written as root 2 x root 2\n\nso root 2 / (root 2 x root 2)\n\n1/root 2",
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"timestamp": "05/13/2022 04:02:07",
"content": "$|x|=\\frac{1}{\\sqrt{2}}$",
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"id": 974582314820591600,
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"timestamp": "05/13/2022 04:02:10",
"content": "**Sooshon**",
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"content": "$x=\\frac{1}{\\sqrt{2}}, -\\frac{1}{\\sqrt{2}}$",
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"content": "**Sooshon**",
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"timestamp": "05/13/2022 04:03:18",
"content": "hes askinh why it is",
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"timestamp": "05/13/2022 04:03:54",
"content": "$\\frac{\\sqrt{2}}{2}$",
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"timestamp": "05/13/2022 04:03:58",
"content": "**aol**",
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"timestamp": "05/13/2022 04:09:58",
"content": "@ImFlower Has your question been resolved?",
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"content": "im still here, just still trying to insert the info to my small head",
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"timestamp": "05/13/2022 04:11:03",
"content": "give me few seconds",
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},
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"author_name": "ImFlower",
"timestamp": "05/13/2022 04:14:27",
"content": "where did the /root of 2root of 2 come from @aol :pandaOhNo:",
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"author_name": "aol",
"timestamp": "05/13/2022 04:16:09",
"content": "$x^2=\\frac{1}{2}\\\\|x|=\\frac{1}{\\sqrt{2}}=\\frac{1\\cdot\\sqrt{2}}{\\sqrt{2} \\cdot \\sqrt{2}}=\\frac{\\sqrt{2}}{2}\\\\x=\\frac{\\sqrt{2}}{2}; -\\frac{\\sqrt{2}}{2}$",
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"timestamp": "05/13/2022 04:18:05",
"content": "**aol**",
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"timestamp": "05/13/2022 04:18:18",
"content": "i ahte writing latex",
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"author_name": "ImFlower",
"timestamp": "05/13/2022 04:22:19",
"content": "yeah i saw the struggle thanks a lot",
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"author_name": "ImFlower",
"timestamp": "05/13/2022 04:22:56",
"content": "i think i have some major hole in my understanding of how to do this type of answer i will try finding some basic videos",
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"author_name": "ImFlower",
"timestamp": "05/13/2022 04:23:21",
"content": "because right now it just looks to me like you added root 2 to out of nowhere",
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"content": "sad stuff",
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"timestamp": "05/13/2022 04:23:28",
"content": "thanks again",
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"content": ".close",
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"content": "Channel closed",
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] |
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|
199,916 |
[
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"content": "Available help channel!",
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},
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"id": 974589940358865000,
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"content": "/",
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"timestamp": "05/13/2022 04:32:51",
"content": "Is someone able to help with this",
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},
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"timestamp": "05/13/2022 04:33:20",
"content": "what have you tried",
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"content": "Nvm I just solved it",
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"content": "Forgot that it doesn't matter if it is a inverse",
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"content": ".close",
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] |
help-9
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11bfae4622404dc2b6e9ebc0ef1acdb7
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"author_name": "Sooshon",
"timestamp": "05/13/2022 04:52:29",
"content": "i guess you can eliminate A, C and E right away since their derivatives are sin x cos x",
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"timestamp": "05/13/2022 04:56:45",
"content": "A, C and E are correct...",
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"id": 974596075145023500,
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"timestamp": "05/13/2022 04:56:51",
"content": "but is this a test of some sort?",
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"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 04:57:34",
"content": "It says which one is the not currect one",
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"timestamp": "05/13/2022 04:57:38",
"content": "A, C and E are the results of the integral",
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"timestamp": "05/13/2022 04:57:51",
"content": "hence they are equivalent to the integral",
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"timestamp": "05/13/2022 04:58:02",
"content": "and also, they are not derivatives of sinxcosx",
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"id": 974596419547709400,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 04:58:13",
"content": "did you read what the question says?",
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"id": 974596488372027400,
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"author_name": "waler",
"timestamp": "05/13/2022 04:58:29",
"content": "yes i did, the integral above is equivalent to options A, C and E",
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"id": 974596525160292400,
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"timestamp": "05/13/2022 04:58:38",
"content": "they **are** equal to those options",
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"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 04:59:01",
"content": "So the answer is either b or d?",
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"author_name": "Sooshon",
"timestamp": "05/13/2022 04:59:03",
"content": "right, so they are eliminated as the correct answers to the question lol",
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"id": 974596782375960600,
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"author_name": "waler",
"timestamp": "05/13/2022 04:59:40",
"content": "right excuse me then, i misread what you said, still they are not derivatives of sinxcosx",
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"id": 974596913284395000,
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"author_name": "Sooshon",
"timestamp": "05/13/2022 05:00:11",
"content": "i never said they are derivatives of sinx cos x",
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"author_name": "Sooshon",
"timestamp": "05/13/2022 05:00:52",
"content": "rather the derivative of all those expressions is sin x cos x",
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"timestamp": "05/13/2022 05:01:00",
"content": "so they are antiderivatives of sin x cos x",
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"timestamp": "05/13/2022 05:01:16",
"content": "🤦♂️ and i keep misreading again",
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"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 05:01:49",
"content": "Ok so is B wrong? And why \nSame with D",
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"timestamp": "05/13/2022 05:02:26",
"content": "B is wrong yes, but not D, check your working again",
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"id": 974597506883285000,
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"author_name": "Sooshon",
"timestamp": "05/13/2022 05:02:32",
"content": "im guessing its D but i dont know what im doing wrong with B",
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{
"id": 974597713507274800,
"author_id": 967401328538157000,
"author_name": "Arya 1503",
"timestamp": "05/13/2022 05:03:22",
"content": "Remember the formula of cos(2x)?",
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"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 05:03:35",
"content": "So D correct and B is the wrong one?",
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"timestamp": "05/13/2022 05:03:48",
"content": "yes, but are you clear why so?",
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"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 05:03:57",
"content": "What was it?",
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"timestamp": "05/13/2022 05:04:16",
"content": "Not sure",
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"id": 974598014737997800,
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"author_name": "Sooshon",
"timestamp": "05/13/2022 05:04:33",
"content": "saying B\\D is wrong in this context isn't very clear since there is a negative in the question, can you specify if you mean it doesn't work as an antiderivative or if it's the wrong answer to the question?",
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"id": 974598065547796500,
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"author_name": "waler",
"timestamp": "05/13/2022 05:04:45",
"content": "like si arya said, remember your trig identities, remember that sin(2x)=2sinxcosx",
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"id": 974598136100171800,
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"timestamp": "05/13/2022 05:05:02",
"content": "the integral above can be rewritten in such a way that it gives the option D",
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},
{
"id": 974598145168257000,
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"timestamp": "05/13/2022 05:05:04",
"content": "anyway the answer seems to be B",
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"id": 974598241960214500,
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"timestamp": "05/13/2022 05:05:28",
"content": "Ohhh",
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"author_name": "Sooshon",
"timestamp": "05/13/2022 05:06:34",
"content": "if you try to do the derivative of B you get $2\\sin x\\cos x(\\cos^2 x - \\sin^2 x)$ so it would work great if that - was a + so you could use $\\cos^2 x + \\sin^2 x = 1$ but a minus isn't a plus : )",
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"timestamp": "05/13/2022 05:06:37",
"content": "**Sooshon**",
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"timestamp": "05/13/2022 05:07:50",
"content": "I’m little confused but I’ll do it over",
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"timestamp": "05/13/2022 05:07:52",
"content": "Thanks guys",
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"content": ".close",
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] |
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[
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 05:14:49",
"content": "Channel closed",
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}
] |
help-9
|
6891ed630818482bab22a4fa4762c0e4
|
199,919 |
[
{
"id": 974605809277349900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 05:35:32",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974606237557731300,
"author_id": 652844917181120500,
"author_name": "guy",
"timestamp": "05/13/2022 05:37:14",
"content": "Is there Peripheral angles in the circle?",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/974606236920184832/unknown.png",
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 05:37:14",
"content": "Pinned a message.",
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"id": 974606792774520800,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 05:39:26",
"content": "what do you mean by peripheral angles?",
"attachments": [],
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},
{
"id": 974610013714800600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 05:52:14",
"content": "@guy Has your question been resolved?",
"attachments": [],
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"timestamp": "05/13/2022 06:07:14",
"content": "Channel closed",
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}
] |
help-9
|
cb8c8352ca614e8fb1c4437d7c46adba
|
199,920 |
[
{
"id": 956858149447536600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 06:12:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956860275846434800,
"author_id": 551668345611747300,
"author_name": "Syko",
"timestamp": "03/25/2022 06:21:07",
"content": "> Q: Show that any 40 people are selected then at least 7 people must have been born on the same day of the week.\nhow is this possilbe, i dont get it, \nthis is what is in my head:\nS : | | | | | | \nM : | | | | | | \nT : | | | | | | \nW : | | | | | | \nT : | | | | | |\nF : | | | | | \nS : | | | | |\nthere can only be 5",
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"id": 956860277775827000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 06:21:07",
"content": "Pinned a message.",
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"messageId": 956860275846434800,
"channelId": 486844875632017400,
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}
},
{
"id": 956860815246520300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:23:15",
"content": "Ye",
"attachments": [],
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},
{
"id": 956861037125206000,
"author_id": 551668345611747300,
"author_name": "Syko",
"timestamp": "03/25/2022 06:24:08",
"content": "umm... so is the question wrong?",
"attachments": [],
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},
{
"id": 956861327786262500,
"author_id": 551668345611747300,
"author_name": "Syko",
"timestamp": "03/25/2022 06:25:18",
"content": "my friend used this formula\n( `n-1` / `m` ) + `1`\nand he get 7, i also dont get how this formula works",
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},
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"id": 956861451908304900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:25:47",
"content": "Ye",
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"id": 956861787725258800,
"author_id": 551668345611747300,
"author_name": "Syko",
"timestamp": "03/25/2022 06:27:07",
"content": "pls explain me a little, i am confused from that equation",
"attachments": [],
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},
{
"id": 956862228559171600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:28:52",
"content": "Me too. What even is it?",
"attachments": [],
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},
{
"id": 956862392447402000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:29:32",
"content": "Here's an equation I just made up:\n7\nAs you can see, there's at least 7.",
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},
{
"id": 956862697012625400,
"author_id": 551668345611747300,
"author_name": "Syko",
"timestamp": "03/25/2022 06:30:44",
"content": "how",
"attachments": [],
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},
{
"id": 956862807729659900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:31:11",
"content": "You did provide a proof that, given 40 people are assembled, then it is not necessary for 7 people to have been born on the same day.",
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},
{
"id": 956862895822618800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:31:32",
"content": "There's nothing really more to say. If your friend disagrees, they're wrong",
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},
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"id": 956866473492611100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 06:45:45",
"content": "@Syko Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 06:45:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c965a500dbfe4cc2a048837a48651169
|
199,921 |
[
{
"id": 974614041899172000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 06:08:15",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974614494993064000,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:10:03",
"content": "help",
"attachments": [],
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},
{
"id": 974614496901464000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 06:10:03",
"content": "Pinned a message.",
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"id": 974614522092470400,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:10:09",
"content": "can someone tell me what this thing is?",
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"id": 974614558176079900,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:10:18",
"content": "like what type of graph is this",
"attachments": [],
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"reference": null
},
{
"id": 974614851248853000,
"author_id": 194865265756995600,
"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:11:28",
"content": "Normal distribution graph",
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"reference": null
},
{
"id": 974614921537024000,
"author_id": 194865265756995600,
"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:11:44",
"content": "Idk how I ended up here",
"attachments": [],
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"reference": null
},
{
"id": 974615216165896200,
"author_id": 194865265756995600,
"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:12:55",
"content": "-3 to -2 is one standard deviation",
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"reference": null
},
{
"id": 974615216232992800,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:12:55",
"content": "THANK YOU SO MUCH!!!!",
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"id": 974615246473932800,
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"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:13:02",
"content": "Np",
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},
{
"id": 974615320721522700,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:13:19",
"content": "WAIT CAN I ASK?",
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"id": 974615360030523400,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:13:29",
"content": "can i ask?",
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"id": 974615487600279600,
"author_id": 194865265756995600,
"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:13:59",
"content": "Lol I'm new to this server",
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},
{
"id": 974615506759860200,
"author_id": 194865265756995600,
"author_name": "HanimalGurl",
"timestamp": "05/13/2022 06:14:04",
"content": "What would u like to ask",
"attachments": [],
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},
{
"id": 974615595834310700,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:14:25",
"content": "ohh nvm sorry for the trouble enjoy ur day",
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"id": 974615608635318300,
"author_id": 810532247027449900,
"author_name": "inz",
"timestamp": "05/13/2022 06:14:28",
"content": ".close",
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},
{
"id": 974615610459820000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 06:14:29",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
8385f999db7248bdbf480d37a179d6e2
|
199,922 |
[
{
"id": 974617024523276300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 06:20:06",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974620356079915000,
"author_id": 750764029944791200,
"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 06:33:20",
"content": "Anyone has an idea how to solve this thing? Cuz there isn’t an actual rule \n\nThe question says \n\n“the numbers on the left are used according to a rule and the numbers on the right are obtained”",
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{
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"id": 974620360475549700,
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"timestamp": "05/13/2022 06:33:21",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 974620356079915000,
"channelId": 486844875632017400,
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{
"id": 974620421993414700,
"author_id": 750764029944791200,
"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 06:33:36",
"content": "They’re asking for x and y but just as I said there isn’t an actual rule \n-> you need to find it",
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},
{
"id": 974620458110570500,
"author_id": 750764029944791200,
"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 06:33:44",
"content": "But I don’t seem to find it..",
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},
{
"id": 974624234041126900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 06:48:45",
"content": "@Vanilla_cat Has your question been resolved?",
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"id": 974624292887212000,
"author_id": 750764029944791200,
"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 06:48:59",
"content": "@Helpers",
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},
{
"id": 974627112910721200,
"author_id": 750764029944791200,
"author_name": "Vanilla_cat",
"timestamp": "05/13/2022 07:00:11",
"content": ".close",
"attachments": [],
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},
{
"id": 974627115288920000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 07:00:11",
"content": "Channel closed",
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}
] |
help-9
|
0cf0dfc72a0942a2bab6c32c280b1c49
|
199,923 |
[
{
"id": 974627368381599700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 07:01:12",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974628403166711800,
"author_id": 767153088234389500,
"author_name": "solero1010",
"timestamp": "05/13/2022 07:05:19",
"content": "",
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"content": "Pinned a message.",
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{
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"author_id": 767153088234389500,
"author_name": "solero1010",
"timestamp": "05/13/2022 07:05:56",
"content": "I don’t know how to find the integral I need",
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},
{
"id": 974632337985896400,
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 07:20:57",
"content": "@solero1010 Has your question been resolved?",
"attachments": [],
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"id": 974633942554669000,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:27:19",
"content": "@solero1010 is it talking about the flux over the surface of that sphere?",
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"id": 974634137816289400,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:28:06",
"content": "or rather 2 spheres nested inside each other i guess",
"attachments": [],
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},
{
"id": 974634187078389800,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:28:18",
"content": "or flux over the volume?",
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},
{
"id": 974634357258092500,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:28:58",
"content": "either way, your friend here is spherical coordinates",
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},
{
"id": 974635250472857600,
"author_id": 767153088234389500,
"author_name": "solero1010",
"timestamp": "05/13/2022 07:32:31",
"content": "I think it is supposed to be the flux over the surface",
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},
{
"id": 974635268030201900,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:32:35",
"content": "ah yeah",
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},
{
"id": 974635337991200900,
"author_id": 767153088234389500,
"author_name": "solero1010",
"timestamp": "05/13/2022 07:32:52",
"content": "I will try with spherical coordingates, thanks for tip",
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},
{
"id": 974635518530814000,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:33:35",
"content": "well first of all, break it up as flux over the sphere with radius 1",
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"id": 974635572738027500,
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"author_name": "Sooshon",
"timestamp": "05/13/2022 07:33:48",
"content": "and flux over the sphere with radius 3, the inner and outer surfaces",
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},
{
"id": 974635849801146400,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/13/2022 07:34:54",
"content": "for outer sphere, the normal vector will be r (its pointing towards outside of the shape) and for the inner sphere the normal vector will be -r (its pointing inwards towards the hollow center, away from the volume)",
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},
{
"id": 974637556287283200,
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"author_name": "Sooshon",
"timestamp": "05/13/2022 07:41:41",
"content": "@solero1010 how does this look?",
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"content": "so it seems like they cancel out",
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"content": "I think that looks about right! I just don't understand how you found the normal vector",
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"content": "well in spherical coordinates, the normal vector to a sphere is just the unit vector r at any point",
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"content": "since the normal is radially out from the point",
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"content": "thats the whole convenience of spherical coordinates",
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"content": "oh right, thank you so much",
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"content": "these are the unit vectors in spherical coordinates",
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"content": ".close",
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] |
help-9
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f219ae1fc186474cb6f899f5584d12bd
|
199,924 |
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"content": "Available help channel!",
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"content": "@solero1010 hope that's right, if you ever have more of these question types feel free to dm me, ive been studying some vector calculus lately and it's good to test what im learning : )",
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help-9
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27f933750f2f45e9bd4eb294b3638d65
|
199,925 |
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"id": 974642981061673000,
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"author_name": "cosmos",
"timestamp": "05/13/2022 08:03:14",
"content": "hi, are these questions similar",
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"content": "qc of first one and qd of second one",
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"content": "@cosmos Has your question been resolved?",
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35238e158292467ea16aec1f8be71d87
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"id": 974709869879898100,
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"author_name": "Lyeex",
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"content": "I need help here",
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"content": "@Lyeex Has your question been resolved?",
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help-9
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87297cc3d63b4362b9112386fbb27370
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199,927 |
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"id": 974720761455599600,
"author_id": 525173634256470000,
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"content": "how do i solve this",
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"content": "@Helpers",
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"author_id": 481926813644226560,
"author_name": "kons",
"timestamp": "05/13/2022 13:13:21",
"content": "Which of the 4 do you need help with",
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"id": 974721365879980000,
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"content": "all of them ngl",
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"timestamp": "05/13/2022 13:18:07",
"content": "Ok for the first one since the limit at -2+ is ≠ to the limit at -2- (since lim(x→-2+)=+infinity but lim(x→-2-)= -infinity)\nThe limit isn't defind",
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"timestamp": "05/13/2022 13:19:13",
"content": "For the second one see close to what y value it is when x is approaching -1 from the positive side, so from the right",
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"content": "It is 0",
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"timestamp": "05/13/2022 13:20:59",
"content": "Try doing the other ones on your own",
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"timestamp": "05/13/2022 13:23:57",
"content": "so what would i write for the answer of a?",
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"timestamp": "05/13/2022 13:24:04",
"content": "or do i just circle it?",
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"author_name": "kons",
"timestamp": "05/13/2022 13:24:46",
"content": "Not sure if im saying it correctly in english but that limit doesnt exist/isnt defined",
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"timestamp": "05/13/2022 13:24:52",
"content": "So you just right that",
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"timestamp": "05/13/2022 13:25:39",
"content": "For a limit to be defined you need the adjacent limits to be the same",
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"timestamp": "05/13/2022 13:25:41",
"content": "To be equal",
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"timestamp": "05/13/2022 13:28:33",
"content": "ok so for each one i just write if it’s defined or not?",
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"timestamp": "05/13/2022 13:30:01",
"content": "so b would be undefined too",
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"content": "@mingo Has your question been resolved?",
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"timestamp": "05/13/2022 13:45:46",
"content": "Sorry i had to do something im back now",
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"timestamp": "05/13/2022 13:46:06",
"content": "For those that are not defined you just write that they aren't defined",
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"id": 974729268833681500,
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"timestamp": "05/13/2022 13:46:07",
"content": "But",
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"timestamp": "05/13/2022 13:46:10",
"content": "For those that are",
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"timestamp": "05/13/2022 13:46:17",
"content": "You write what they are equal to",
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"timestamp": "05/13/2022 13:46:59",
"content": "Remember, if the 2 adjacent limits are equal then the limit is defined and it is equal to what the adjacent limits are",
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"timestamp": "05/13/2022 13:47:49",
"content": "Also when above the number it has a plus sign (+) or a minus (-) its asking you to find just what it equals from that direction",
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"id": 974729753259049000,
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"timestamp": "05/13/2022 13:48:02",
"content": "So you dont have to check if both adjacent limits are the same",
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"timestamp": "05/13/2022 13:48:49",
"content": "So if it has a minus (-) you should look from left to right and when its a plus sign (+) you look from right to left",
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help-9
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a75efcb7d9d64bb28a7ef659c1cb779b
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199,928 |
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"timestamp": "05/13/2022 14:14:38",
"content": "I have no idea how to solve this",
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"timestamp": "05/13/2022 14:18:36",
"content": "There might be some technicalities with this problem that I am currently not aware of, so take my following advice with a grain of salt. If I were doing this, I'd find the derivative of the top function and see what value it approaches as x approaches zero from values above and below 0",
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"timestamp": "05/13/2022 14:28:54",
"content": "I have no idea how to follow",
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"timestamp": "05/13/2022 14:33:57",
"content": "@suspense do you know how to differentiate functions?",
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"timestamp": "05/13/2022 14:34:13",
"content": "umm not really i think",
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"timestamp": "05/13/2022 14:34:48",
"content": "yeah it's best if you learn it off youtube then like just type \"how to differentiate\"",
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"timestamp": "05/13/2022 14:34:54",
"content": "because its a bunch of rules you gotta learn",
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"timestamp": "05/13/2022 14:35:31",
"content": "okie 🙂",
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"timestamp": "05/13/2022 14:36:14",
"content": "not that I mean to dismiss your piece of advice though but no professor has ever told me that though",
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"timestamp": "05/13/2022 14:36:22",
"content": "i think there is another way of solving it",
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"timestamp": "05/13/2022 14:36:40",
"content": "Limit definition of derivative I suppose",
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"timestamp": "05/13/2022 14:36:58",
"content": "That sounds way more familiar",
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"timestamp": "05/13/2022 14:37:00",
"content": "exactly my advice is like hidden knowledge",
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"timestamp": "05/13/2022 14:37:11",
"content": "\"Doctors hate him\" type stuff",
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"timestamp": "05/13/2022 14:37:16",
"content": "hahah",
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"timestamp": "05/13/2022 14:38:18",
"content": "you sure about that?",
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"timestamp": "05/13/2022 14:38:19",
"content": "$f'(0)=\\lim_{x\\to 0}\\frac{f(x)-f(0)}{x-0}$",
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"timestamp": "05/13/2022 14:38:25",
"content": "**Euclid31415**",
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"timestamp": "05/13/2022 14:38:28",
"content": "gonna be a pretty nasty limit",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "05/13/2022 14:38:45",
"content": "it's not because you can compute it that it's the best solution",
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"timestamp": "05/13/2022 14:39:04",
"content": "yeah, @suspense just needs to learn how to compute derivatives xd",
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"timestamp": "05/13/2022 14:39:31",
"content": "I have this huge exam though and if I happen to use anything that hasn't been taught I don't think they will count it as valid",
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"timestamp": "05/13/2022 14:39:48",
"content": "Directly taking derivative is still not helpful. We still have to do limit arguments",
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"timestamp": "05/13/2022 14:40:18",
"content": "Notice what happens when you put x=0 in RHS",
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"timestamp": "05/13/2022 14:40:43",
"content": "I'm sorry, what does RHS mean? English is my second langauge",
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"content": "Right Hand Side",
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"timestamp": "05/13/2022 14:47:54",
"content": "I'm strongly considering leaving this career",
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"timestamp": "05/13/2022 14:48:01",
"content": "Even the denominator approaches 0",
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"timestamp": "05/13/2022 14:48:31",
"content": "but we have a lot of indeterminations",
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"timestamp": "05/13/2022 14:48:55",
"content": "infinite times zero minus 0 all of that over 0 too?",
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"timestamp": "05/13/2022 14:49:10",
"content": "infinite times zero... shall I apply l'hopital?",
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"timestamp": "05/13/2022 14:49:15",
"content": "am I even making sense?",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "05/13/2022 14:49:29",
"content": "you miscomputed. That first one isn't infinity",
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"timestamp": "05/13/2022 14:49:43",
"content": "still a 0/0 situation though, needs more work",
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"id": 974745423052963800,
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"author_name": "suspense",
"timestamp": "05/13/2022 14:50:18",
"content": "Oh you are right, the first one is seven right ???",
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"timestamp": "05/13/2022 14:51:14",
"content": "yes",
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"timestamp": "05/13/2022 14:51:59",
"content": "0/0 then... what should I do?",
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"timestamp": "05/13/2022 14:52:19",
"content": "How about common factor e power 7x",
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"timestamp": "05/13/2022 14:52:49",
"content": "$f'(0)=\\lim_{x\\to 0}\\frac{\\frac{\\ln(1+7x)}{e^{7x}-1}-1}{x}$",
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"timestamp": "05/13/2022 14:52:51",
"content": "**Euclid31415**",
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"timestamp": "05/13/2022 14:53:56",
"content": "Can't really take e^{7x} common",
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"timestamp": "05/13/2022 14:54:11",
"content": "I don't get what happened",
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"timestamp": "05/13/2022 14:55:07",
"content": "Dropping in value of f(x) for x≠0 and f(0) here",
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"timestamp": "05/13/2022 14:56:01",
"content": "but f(0) is 1",
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"timestamp": "05/13/2022 14:56:12",
"content": "Yes",
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"id": 974746936009703400,
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"author_name": "suspense",
"timestamp": "05/13/2022 14:56:19",
"content": "OOH",
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"id": 974746940082360400,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "05/13/2022 14:56:20",
"content": "i see",
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"id": 974747025402896500,
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"author_name": "suspense",
"timestamp": "05/13/2022 14:56:40",
"content": "so you are making the derivative?",
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"timestamp": "05/13/2022 14:57:03",
"content": "Yes derivative at 0",
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"timestamp": "05/13/2022 14:57:33",
"content": "Does seem a bit simpler than what we had earlier but not that much",
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"timestamp": "05/13/2022 14:59:15",
"content": "Simplifying this a bit we have \\\\\\\\$\\lim_{x\\to 0}\\frac{\\ln(1+7x)-e^{7x}+1}{x(e^{7x}-1)}$",
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"timestamp": "05/13/2022 14:59:28",
"content": "**Euclid31415**",
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"timestamp": "05/13/2022 15:00:11",
"content": "I do not understand a thing about this. I'm sorry I don't want to waste your time any more than I already have",
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},
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"id": 974748229562433500,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "05/13/2022 15:01:27",
"content": "how do I close this",
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},
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"id": 974748269001470000,
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"timestamp": "05/13/2022 15:01:37",
"content": "",
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"timestamp": "05/13/2022 15:02:17",
"content": "```.close```",
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"id": 974748459217326200,
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"timestamp": "05/13/2022 15:02:22",
"content": ".close",
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},
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"id": 974748460945395700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 15:02:23",
"content": "Channel closed",
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}
] |
help-9
|
601f5b51d651441ab9096e2a5cd51c9a
|
199,929 |
[
{
"id": 974748713543155700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 15:03:23",
"content": "Available help channel!",
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},
{
"id": 974750318346784900,
"author_id": 145844292630347780,
"author_name": "HeyHey",
"timestamp": "05/13/2022 15:09:45",
"content": "Hey, i am supposed to determine the interval of convergence and the sum of the series\n\n1-4x+16x^2-64x^3 = sum n=0 to inf (-1)^n (4x)^n",
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"timestamp": "05/13/2022 15:09:46",
"content": "Pinned a message.",
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"content": "",
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"id": 974750434499629000,
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"timestamp": "05/13/2022 15:10:13",
"content": "This is the solution but i dont understand it tbh",
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},
{
"id": 974750639357825000,
"author_id": 145844292630347780,
"author_name": "HeyHey",
"timestamp": "05/13/2022 15:11:02",
"content": "The convert it to a power series?",
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"id": 974750780403888300,
"author_id": 145844292630347780,
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"timestamp": "05/13/2022 15:11:36",
"content": "Then -1<x/4<1 => -1/4 < x < 1/4",
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"timestamp": "05/13/2022 15:11:42",
"content": "But what is the sum",
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},
{
"id": 974750876503802000,
"author_id": 145844292630347780,
"author_name": "HeyHey",
"timestamp": "05/13/2022 15:11:58",
"content": "I am lost",
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},
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"author_name": "VictorLee",
"timestamp": "05/13/2022 15:16:22",
"content": "It already is a power series. They put it back into its function representation",
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"timestamp": "05/13/2022 15:17:06",
"content": "So they put it to a function so it has the same form as the 1/(1-x)",
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"content": "They use this",
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"content": "Yeah",
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"timestamp": "05/13/2022 15:18:54",
"content": "So the function expression equals the sum",
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"timestamp": "05/13/2022 15:19:42",
"content": "Yeah that picture should be one of those “Known facts” you should be able to pull from on tests and stuff",
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"timestamp": "05/13/2022 15:20:26",
"content": "What about 3 + 4x + 5x^2 + 6x^3 + ... = sum n=0 to inf (n+3)x^n",
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"timestamp": "05/13/2022 15:29:55",
"content": "https://en.wikipedia.org/wiki/Arithmetico%E2%80%93geometric_sequence#Infinite_series should be helpful",
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"content": "@HeyHey Has your question been resolved?",
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"timestamp": "05/13/2022 15:36:35",
"content": "okay il read more",
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"timestamp": "05/13/2022 15:36:36",
"content": "ty lads",
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"timestamp": "05/13/2022 15:36:38",
"content": ".close",
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"timestamp": "05/13/2022 15:36:39",
"content": "Channel closed",
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}
] |
help-9
|
f38a5aab73834368884763878fe9d6f2
|
199,930 |
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"content": "can someone explain to me",
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"author_name": "Maheenstar1",
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"content": "how it goes from [ 4 0 ] to [ 0 ]\n 2 0 1",
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"content": "because you're looking for when $(A-I)\\begin{pmatrix} x \\\\ y \\end{pmatrix} = 0$",
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"content": "**iCaird**",
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"timestamp": "05/13/2022 16:05:21",
"content": "which is $\\begin{pmatrix} 4 & 0 \\\\ 2 & 0 \\end{pmatrix} \\begin{pmatrix} x \\\\ y \\end{pmatrix} = 0$",
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"content": "**iCaird**",
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"timestamp": "05/13/2022 16:06:52",
"content": "im still confused",
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"id": 974764746794479600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/13/2022 16:07:05",
"content": "about what",
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"author_name": "Maheenstar1",
"timestamp": "05/13/2022 16:07:24",
"content": "like how does x = 0 and y = 1?",
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"timestamp": "05/13/2022 16:08:23",
"content": "do the matrix multiplication",
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"content": "and you'll see that x = 0",
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"timestamp": "05/13/2022 16:08:39",
"content": "then y can be whatever we like, so we might aswell set it to 1",
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"timestamp": "05/13/2022 16:08:54",
"content": "so when we do the matrix multiplication",
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"timestamp": "05/13/2022 16:08:56",
"content": "it equals to",
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"timestamp": "05/13/2022 16:09:02",
"content": "4x + 0y = 0",
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"timestamp": "05/13/2022 16:09:09",
"content": "and 2x + 0y = 0",
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"author_id": 219625452631752700,
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"timestamp": "05/13/2022 16:09:32",
"content": "so beginning with this",
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"author_name": "Maheenstar1",
"timestamp": "05/13/2022 16:09:44",
"content": "to sovle for x it would just be 4x = 0 right?",
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"id": 974765475714187300,
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"timestamp": "05/13/2022 16:09:59",
"content": "which is 0?",
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"author_id": 219625452631752700,
"author_name": "Maheenstar1",
"timestamp": "05/13/2022 16:11:13",
"content": "now solving for y, it would be\n4x + 0y = 0\n0y = 0\ny = 0?",
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"timestamp": "05/13/2022 16:11:19",
"content": "like how did we get y = 1?",
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"timestamp": "05/13/2022 16:13:34",
"content": "@iCaird",
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"timestamp": "05/13/2022 16:20:14",
"content": "we dont know what y is, we have no constraints on it",
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"timestamp": "05/13/2022 16:20:29",
"content": "so we can set it to whatever we like, as long as its not zero",
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"timestamp": "05/13/2022 16:20:41",
"content": "bc any scalar multiple of an eigenvector is once again an eigenvector",
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"timestamp": "05/13/2022 16:20:44",
"content": "so might aswell make y=1",
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"timestamp": "05/13/2022 16:28:34",
"content": "@Maheenstar1 Has your question been resolved?",
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"timestamp": "05/13/2022 16:30:02",
"content": "how do I solve the other one then?",
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"content": "2x=4y",
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"timestamp": "05/13/2022 16:30:27",
"content": "x=2y",
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"timestamp": "05/13/2022 16:30:36",
"content": "so take (2,1) for example",
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"timestamp": "05/13/2022 17:00:06",
"content": "@Maheenstar1 Has your question been resolved?",
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] |
help-9
|
02da1dc818f948e4883aad6e1decaf07
|
199,931 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 06:46:56",
"content": "Available help channel!",
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},
{
"id": 956867216383565800,
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"timestamp": "03/25/2022 06:48:42",
"content": "Pinned a message.",
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"id": 956867307228000300,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 06:49:03",
"content": "I know that if the determinant is 0 means the matrix has no inverse",
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"id": 956867436009889900,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 06:49:34",
"content": "so one method is to randomly generate a 3x3 matrix, then check if determinant is non-zero",
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"timestamp": "03/25/2022 06:49:44",
"content": "is there another way?",
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},
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"id": 956867535083540500,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 06:49:58",
"content": "that method does not seem very efficient",
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},
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"id": 956869223815213000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:56:40",
"content": "Randomly generated a matrix, and if the determinant is 0, change only one entry",
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"id": 956869414446334000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 06:57:26",
"content": "Or, in the same idea, have one entry determined by the determinant equation",
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"id": 956869683288633300,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 06:58:30",
"content": "I'm not familiar with the properties of matrices but will changing one entry in a 3x3 non-invertible matrix to any random value turn it into an invertible matrix?",
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"timestamp": "03/25/2022 06:58:38",
"content": "what do u mean by this?",
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"timestamp": "03/25/2022 06:58:43",
"content": "this example from wiki",
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"timestamp": "03/25/2022 06:58:56",
"content": "say if determinant here is 0",
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"id": 956869986788442100,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 06:59:42",
"content": "I don't understand this part \"have one entry determined by the determinant equation\"",
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"id": 956872719989878800,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 07:10:34",
"content": "I found something on math.stackexchange but i dont understand 😅",
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"author_name": "Bee",
"timestamp": "03/25/2022 07:10:36",
"content": "https://math.stackexchange.com/questions/1686116/a-random-invertible-matrix",
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"id": 956872998537789400,
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"timestamp": "03/25/2022 07:11:40",
"content": "Essentially, how to generate a random square matrix without computing determinant or generate the matrix multiple times",
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"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 07:26:41",
"content": "@Bee Has your question been resolved?",
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"timestamp": "03/25/2022 07:56:47",
"content": "@Bee Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 08:56:51",
"content": "@Bee Has your question been resolved?",
"attachments": [],
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"id": 956908077511221200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 09:31:04",
"content": "Hey I'm back.\nSo you are missing a major part. Not only do you need an inverse, you need that inverse to be an integer matrix.",
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},
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"id": 956908216011342000,
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"author_name": "Kaynex",
"timestamp": "03/25/2022 09:31:37",
"content": "This is guaranteed when the determinant is 1 (why?)",
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},
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"id": 956908408655712400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/25/2022 09:32:23",
"content": "So a method available to you is to generate a random matrix but leave one entry unknown. Then, given that you want the determinant to be 1, solve for that entry.\n@Bee",
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"author_name": "Bee",
"timestamp": "03/25/2022 09:47:24",
"content": "OH",
"attachments": [],
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},
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"id": 956912202210771000,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 09:47:27",
"content": "THAT IS SMART",
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},
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"id": 956912387267625000,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 09:48:11",
"content": "that solves it",
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},
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"id": 956912457211842600,
"author_id": 218983103295782900,
"author_name": "Bee",
"timestamp": "03/25/2022 09:48:28",
"content": "thank you @Kaynex",
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"timestamp": "03/25/2022 09:50:05",
"content": "actually on a second thought",
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"author_name": "Bee",
"timestamp": "03/25/2022 09:50:23",
"content": "nvm Imma try it and report back",
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"timestamp": "03/25/2022 09:57:47",
"content": "nice it works",
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"timestamp": "03/25/2022 11:57:47",
"content": "@Bee Has your question been resolved?",
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"timestamp": "03/25/2022 11:57:56",
"content": "Channel closed",
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}
] |
help-9
|
610176f174e34355823ed722b3ad168c
|
199,932 |
[
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"author_name": "Michal",
"timestamp": "05/13/2022 17:07:44",
"content": "any ideas how to deal with this summation ?",
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{
"id": 974780331997691900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:09:01",
"content": "have you tried expanding?",
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},
{
"id": 974780365824733200,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/13/2022 17:09:09",
"content": "yes",
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{
"id": 974780368932712400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:09:10",
"content": "binom is a sum over k to n too, isnt it?",
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},
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"id": 974780379426877600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
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"content": ":thonk:",
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"id": 974780516710637600,
"author_id": 692635975678951400,
"author_name": "Michal",
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"content": "?",
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},
{
"id": 974780547173867500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:09:52",
"content": "im thinking of something else",
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},
{
"id": 974780586910691300,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/13/2022 17:10:02",
"content": "binomial theorem is in different form",
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},
{
"id": 974780627104702500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:10:12",
"content": "$(x+y)^n = \\sum _{k=0} ^n \\binom n k x^{n-k}y^k$",
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},
{
"id": 974780636420268000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:10:14",
"content": "is what im thinking of",
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"id": 974780640421642200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/13/2022 17:10:15",
"content": "**jan Niku (LinAlg Study Group)**",
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"timestamp": "05/13/2022 17:10:47",
"content": "trying to see, if its just some algebra trick",
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"id": 974780811440169000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/13/2022 17:10:55",
"content": "either way its uhh",
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"id": 974780848324890600,
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"timestamp": "05/13/2022 17:11:04",
"content": "i have tried, but unsuccessfully",
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"id": 974780963122987000,
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"author_name": "jan Niku",
"timestamp": "05/13/2022 17:11:32",
"content": "$\\sum _{k=0} ^n \\frac{ (2n-k) n! }{ k! (n-k)!}$",
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"id": 974780970815344800,
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"timestamp": "05/13/2022 17:11:33",
"content": "yea",
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"id": 974780979719844000,
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"author_name": "TeXit",
"timestamp": "05/13/2022 17:11:36",
"content": "**jan Niku (LinAlg Study Group)**",
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"timestamp": "05/13/2022 17:11:39",
"content": "im gonna try some stuff but idk either :bearlain:",
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"id": 974781177598709800,
"author_id": 261933205387477000,
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"timestamp": "05/13/2022 17:12:23",
"content": "🤔",
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"id": 974781197198713000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/13/2022 17:12:27",
"content": "2n is just a constant",
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"content": ":flonshed:",
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"id": 974781267537195100,
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"timestamp": "05/13/2022 17:12:44",
"content": "so you just need to evaluate the sum with $-k$",
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"timestamp": "05/13/2022 17:12:47",
"content": "**riemann**",
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"timestamp": "05/13/2022 17:13:25",
"content": "and that's the -4 times the expectation of the binomial distribution",
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"timestamp": "05/13/2022 17:13:39",
"content": "https://proofwiki.org/wiki/Expectation_of_Binomial_Distribution",
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"author_name": "Michal",
"timestamp": "05/13/2022 17:15:43",
"content": "hmm, tbh i dont get it",
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"id": 974782427731984400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/13/2022 17:17:21",
"content": "which part?",
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"id": 974782594354905200,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/13/2022 17:18:01",
"content": "but its tied up with k",
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"timestamp": "05/13/2022 17:18:08",
"content": ".",
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"id": 974782648763441200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/13/2022 17:18:14",
"content": "1. split the sum into two sums",
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"id": 974782774357684200,
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"timestamp": "05/13/2022 17:18:43",
"content": "$\\sum_k (a_k + b_k) = \\sum_k a_k + \\sum_k b_k$",
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"timestamp": "05/13/2022 17:18:46",
"content": "**riemann**",
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"timestamp": "05/13/2022 17:25:07",
"content": "then ?",
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"id": 974784674276708400,
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"author_name": "riemann",
"timestamp": "05/13/2022 17:26:16",
"content": "re-write this",
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"timestamp": "05/13/2022 17:37:18",
"content": "thanks, got it",
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"id": 974787453657440300,
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"author_name": "Michal",
"timestamp": "05/13/2022 17:37:19",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
dd738dff5969469789c75e5d50467fa0
|
199,933 |
[
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{
"id": 974814232786894800,
"author_id": 811441960552366100,
"author_name": "RizzlyBear !",
"timestamp": "05/13/2022 19:23:44",
"content": "I need help solving this, Im stuck and dont know how to do this.",
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"author_name": "Blaxapate",
"timestamp": "05/13/2022 19:25:39",
"content": "Can you find the length of one of the half-circle?",
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"id": 974814959273935000,
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"author_name": "RizzlyBear !",
"timestamp": "05/13/2022 19:26:37",
"content": "How do I do that? Sorry, this is a math assignment and I was absent for like 2 days, so they went over this without me.",
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"timestamp": "05/13/2022 19:27:22",
"content": "what's the perimeter of a circle?",
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"content": "@RizzlyBear ! Has your question been resolved?",
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] |
help-9
|
86999a43ac294d76a7063e105676482d
|
199,934 |
[
{
"id": 974822763644739600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 19:57:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 974827776878182400,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:17:33",
"content": "",
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"id": 974827779369615400,
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 20:17:34",
"content": "Pinned a message.",
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{
"id": 974827833727803400,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:17:46",
"content": "could i get some advice",
"attachments": [],
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},
{
"id": 974827991915978900,
"author_id": 195951898879066100,
"author_name": "Olly",
"timestamp": "05/13/2022 20:18:24",
"content": "Best advice is",
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},
{
"id": 974828020462420000,
"author_id": 195951898879066100,
"author_name": "Olly",
"timestamp": "05/13/2022 20:18:31",
"content": "Get good at Googling tbh",
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},
{
"id": 974828321328226400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:19:43",
"content": "what have you tried/thought about so far?",
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},
{
"id": 974829318511419400,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:23:40",
"content": "got no idea",
"attachments": [],
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},
{
"id": 974829375834955800,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:23:54",
"content": "maybe find equation of current line first",
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},
{
"id": 974830084038987800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:26:43",
"content": "finding the equation of the current line isn't really necessary",
"attachments": [],
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"reference": null
},
{
"id": 974830488126652400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:28:19",
"content": "consider what additional information is needed (in addition to the given point) that can be used to determine the equation of the line they want",
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},
{
"id": 974831466712272900,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:32:13",
"content": "what other stuff do i need to find??",
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},
{
"id": 974831631061901300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:32:52",
"content": "think about what I said",
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},
{
"id": 974831919747444700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:34:01",
"content": "and/or recall other questions that you supposedly should have been previously been given",
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"mentions": [],
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},
{
"id": 974831950902751200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:34:08",
"content": "in the form",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974832104410067000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:34:45",
"content": "find the equation of a line with `_______` passing through a certain point",
"attachments": [],
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"reference": null
},
{
"id": 974832825624834000,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:37:37",
"content": "i think the equation of line is y= -6x+2",
"attachments": [],
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},
{
"id": 974833492418498700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:40:16",
"content": "that's the equation of the line shown and isn't what the question asks for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974833833528680400,
"author_id": 221801784279171070,
"author_name": "eugene",
"timestamp": "05/13/2022 20:41:37",
"content": "i need to get another set of points?",
"attachments": [],
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"reference": null
},
{
"id": 974834198454095900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:43:04",
"content": "an equation of a straight line could be determined with two points but that would be unrealistic here",
"attachments": [],
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},
{
"id": 974834225213734900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/13/2022 20:43:10",
"content": "consider another alternative",
"attachments": [],
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"reference": null
},
{
"id": 974837609308241900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 20:56:37",
"content": "@eugene Has your question been resolved?",
"attachments": [],
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"id": 974837876690919400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 20:57:41",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
62c16af93f0348ceba82018be2e3be7c
|
199,935 |
[
{
"id": 974838128999280600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 20:58:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974838958649393300,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:01:59",
"content": "",
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"id": 974838961065312300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:01:59",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 974839332559011800,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:03:28",
"content": "uvz are non-zero vectors and i need to show that they are equal but i did the cross product for vz and uv but its not equal i think im doing smth wrong. any help is appreciated!",
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},
{
"id": 974839520690327600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/13/2022 21:04:13",
"content": "Did you also dot them with the remaining vector?",
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},
{
"id": 974839869538967600,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:05:36",
"content": "well not really but im not sure how im supposed to do that isnt it just to multiply it but even then i dont see how they would become equal",
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},
{
"id": 974840038091276300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/13/2022 21:06:16",
"content": "Dot them and see what happens",
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},
{
"id": 974841299440111600,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:11:17",
"content": "just to clear some stuff up before i do that isnt the cross product of vz: b2c3 - b3c2 - b1c3 - b3c1 + b1c2 - b2c1",
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},
{
"id": 974841320491323500,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:11:22",
"content": "is this correct",
"attachments": [],
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},
{
"id": 974841329983049900,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:11:24",
"content": "?",
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},
{
"id": 974841407921594400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/13/2022 21:11:43",
"content": "It should give you another vector",
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},
{
"id": 974841429446787100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/13/2022 21:11:48",
"content": "Not a number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974841930687078500,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:13:47",
"content": "oh damn yea i guess i was wrong in the cross product aswell",
"attachments": [],
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},
{
"id": 974842189614026800,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:14:49",
"content": "can you explain to me how to do the cross product for the vz?",
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},
{
"id": 974842486860152800,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:16:00",
"content": "",
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{
"id": 974842516966899700,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:16:07",
"content": "this is where im at",
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},
{
"id": 974842680729280500,
"author_id": 222829358581022720,
"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:16:46",
"content": "i would like to know whats the mistake here",
"attachments": [],
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},
{
"id": 974846457045741600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:31:47",
"content": "@MysticPanda Has your question been resolved?",
"attachments": [],
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"author_name": "MysticPanda",
"timestamp": "05/13/2022 21:39:34",
"content": ".close",
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},
{
"id": 974848416867831800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:39:34",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
66b5edaa0838418f8455d848ffd0b240
|
199,936 |
[
{
"id": 974848669461381100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:40:34",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 974849373626302500,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:43:22",
"content": "",
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"id": 974849375505358800,
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:43:22",
"content": "Pinned a message.",
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{
"id": 974849487581376500,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:43:49",
"content": "Hi - didn't highlight it but I'm confused about the algebra at the end of this integral...",
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},
{
"id": 974849618435268600,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:44:20",
"content": "the pi(12x-1/3x^3) turns into 4/3(12)^2/3pi and i got lost somewhere",
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},
{
"id": 974849741642952800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/13/2022 21:44:50",
"content": "I assume you know to plug in the bounds",
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},
{
"id": 974849762668990600,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:44:55",
"content": "I get where thee 4/3 comes from but how do the x's disappear ?",
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},
{
"id": 974849824828567600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/13/2022 21:45:10",
"content": "Oh haha. You plug the bounds in to x",
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},
{
"id": 974849879602000000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/13/2022 21:45:23",
"content": "f(upper) - f(lower)",
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},
{
"id": 974849883762745300,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:45:24",
"content": "yeah I just got totally different answers hmpff",
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},
{
"id": 974850426446966800,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:47:33",
"content": "weird that the ans hasn’t used the fact that the integrand is even to simplify the integral",
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},
{
"id": 974850636053086200,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:48:23",
"content": "yea after plugging it in i got the ans",
"attachments": [],
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},
{
"id": 974850637277827100,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:48:23",
"content": "Ahh to check from 0 - 2sqrt(3) and multiply by 2 ?",
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},
{
"id": 974850694538494100,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:48:37",
"content": "yeppers",
"attachments": [],
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},
{
"id": 974850740520648700,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:48:48",
"content": "evaluating bounds is sm easier that way",
"attachments": [],
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},
{
"id": 974850765283786800,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:48:54",
"content": "I gotta work it out again - I gotta do calculus to fail at algebra right?",
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},
{
"id": 974850810821374000,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:49:05",
"content": "for sure tho - def a better method",
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},
{
"id": 974850961715654700,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:49:41",
"content": "i got 2 * (12 * sqrt(12) - (1/3) * 12 * sqrt(12)) which looks right",
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},
{
"id": 974851073489653800,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:50:07",
"content": "i subbed in sqrt(12) instead of 2 * sqrt(3) cuz the mental maths is just a lot easier that way",
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},
{
"id": 974851788018700300,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:52:58",
"content": "I see nice - I just got it to work out their way. definitely gonna try to use the fact that it's even next time and go from 0 should make it even easier. much appreciated!",
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},
{
"id": 974851939735044100,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/13/2022 21:53:34",
"content": "np np",
"attachments": [],
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},
{
"id": 974852017086406700,
"author_id": 731008127889047700,
"author_name": "caligraphy_",
"timestamp": "05/13/2022 21:53:52",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 974852018504085500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 21:53:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
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7aec455ffd044241ad29fb4e3949742d
|
199,937 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 22:00:27",
"content": "Available help channel!",
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},
{
"id": 974855936919355500,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:09:27",
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"content": "Pinned a message.",
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"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:09:42",
"content": "hey guys!",
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"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:10:21",
"content": "i am confused on this question",
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"timestamp": "05/13/2022 22:12:43",
"content": "What is that notation for vectors",
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"content": "Ok I can help",
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"content": "Dot product",
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"author_name": "anrixy",
"timestamp": "05/13/2022 22:13:00",
"content": "yea and its telling me to find a b c",
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"timestamp": "05/13/2022 22:13:00",
"content": "Is basically",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:13:29",
"content": "Multiply the first numbers of both and add that to the multiplication of the second numbers of both vectors",
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"timestamp": "05/13/2022 22:13:45",
"content": "here can u check if i got the right answers",
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"timestamp": "05/13/2022 22:14:08",
"content": "A = -34 / B= -40 / C=-200",
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"author_name": "anrixy",
"timestamp": "05/13/2022 22:14:34",
"content": "i swear i did the math correctly but its incorrect for some reason",
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"timestamp": "05/13/2022 22:14:40",
"content": "Hmm",
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"timestamp": "05/13/2022 22:14:54",
"content": "Ok a is correct",
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"timestamp": "05/13/2022 22:15:08",
"content": "B is correct",
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"timestamp": "05/13/2022 22:15:53",
"content": "C should be -165",
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"timestamp": "05/13/2022 22:15:55",
"content": "I think",
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"timestamp": "05/13/2022 22:16:01",
"content": "oh shoot",
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"timestamp": "05/13/2022 22:16:09",
"content": "ok let me try this is my last attempt",
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"timestamp": "05/13/2022 22:16:17",
"content": "Ok",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:16:19",
"content": "Did it work",
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"timestamp": "05/13/2022 22:16:32",
"content": "YOOO it was correct",
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"timestamp": "05/13/2022 22:16:35",
"content": "Yooo",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:16:39",
"content": "Let’s go",
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"author_name": "anrixy",
"timestamp": "05/13/2022 22:16:40",
"content": "is it ok if i got more questions?",
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"timestamp": "05/13/2022 22:16:46",
"content": "I might need to go",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:16:48",
"content": "Soon",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:16:50",
"content": "But sure",
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"timestamp": "05/13/2022 22:16:58",
"content": "What is the question",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:17:18",
"content": "Do you know the cosine law for vectors",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:17:24",
"content": "With magnitudes",
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"author_name": "anrixy",
"timestamp": "05/13/2022 22:17:28",
"content": "uhh no",
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"timestamp": "05/13/2022 22:17:31",
"content": "Ok",
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"timestamp": "05/13/2022 22:18:06",
"content": "cos theta= magnitude of first * magnitude of second vector/ dot product of vectors",
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"author_name": "kalen",
"timestamp": "05/13/2022 22:18:14",
"content": "p dot i = |p||i|cos x (where x is the angle between vectors)",
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"timestamp": "05/13/2022 22:18:35",
"content": "what the",
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"timestamp": "05/13/2022 22:18:44",
"content": "so i just plug the units in?",
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"timestamp": "05/13/2022 22:18:48",
"content": "Yeah",
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"author_name": "anrixy",
"timestamp": "05/13/2022 22:19:18",
"content": "can u give me an example like plug the numbers in for A",
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"timestamp": "05/13/2022 22:19:25",
"content": "that formula is confusing lol",
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"author_name": "kalen",
"timestamp": "05/13/2022 22:20:15",
"content": "9 x 1 + 5 x 6 = square root(9^2 + 5^2) x square root(1^2 + 6^2) x cos x",
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"timestamp": "05/13/2022 22:20:30",
"content": "you can use solve function on classpad for that",
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"timestamp": "05/13/2022 22:20:50",
"content": "or just rearrange",
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"timestamp": "05/13/2022 22:21:12",
"content": "so thats for A?",
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"timestamp": "05/13/2022 22:21:27",
"content": "yes",
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"timestamp": "05/13/2022 22:21:33",
"content": "you know how to find magnitudes of vectors right",
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"timestamp": "05/13/2022 22:22:05",
"content": "just the square roots of the i and j components squared",
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"timestamp": "05/13/2022 22:22:05",
"content": "uhh not sure tbh",
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"timestamp": "05/13/2022 22:22:42",
"content": "like for p = <9,5>",
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"timestamp": "05/13/2022 22:22:50",
"content": "the magnitude of the vector would be",
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"timestamp": "05/13/2022 22:22:59",
"content": "square root(9^2 + 5^2)",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:23:19",
"content": "did the teacher teach you anthing in class",
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"timestamp": "05/13/2022 22:23:28",
"content": "LOL no i hate my teacher",
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"timestamp": "05/13/2022 22:23:30",
"content": "or are they just giving hwk",
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"timestamp": "05/13/2022 22:23:35",
"content": "shes such a bad teacher",
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"timestamp": "05/13/2022 22:23:38",
"content": "its basically pythag since the i component and j component make a right angle",
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"timestamp": "05/13/2022 22:23:40",
"content": "like do they teach smth",
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"author_id": 934295686810325000,
"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:23:58",
"content": "like do they teach vectors in the class",
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"timestamp": "05/13/2022 22:24:16",
"content": "so what would A be? I got -42",
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"timestamp": "05/13/2022 22:24:19",
"content": "cause you should have learned how to do the homework through class",
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"timestamp": "05/13/2022 22:24:29",
"content": "thats how school works",
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"timestamp": "05/13/2022 22:24:53",
"content": "?",
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"timestamp": "05/13/2022 22:24:58",
"content": "yea true",
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"timestamp": "05/13/2022 22:25:02",
"content": "its just blug",
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"timestamp": "05/13/2022 22:25:05",
"content": "*plug",
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"timestamp": "05/13/2022 22:25:15",
"content": "can u check if i got it right",
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"timestamp": "05/13/2022 22:25:35",
"content": "https://onlinemschool.com/math/library/vector/angl/",
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"timestamp": "05/13/2022 22:25:46",
"content": "this can help",
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"timestamp": "05/13/2022 22:27:30",
"content": "how about this one?",
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"author_name": "BuboBlakistoni",
"timestamp": "05/13/2022 22:27:37",
"content": "wtf does it mean by a supplementary angle",
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"timestamp": "05/13/2022 22:27:44",
"content": "any angle is supplementary to something else",
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"timestamp": "05/13/2022 22:27:50",
"content": "that one is obviously not correct",
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"timestamp": "05/13/2022 22:28:03",
"content": "lol",
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"timestamp": "05/13/2022 22:28:12",
"content": "how would u even determine what angle this is",
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"timestamp": "05/13/2022 22:28:49",
"content": "the inverse of cos",
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"timestamp": "05/13/2022 22:43:13",
"content": "@anrixy Has your question been resolved?",
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"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:46:21",
"content": "any help on this guys?",
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},
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"id": 974865237058662400,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:46:24",
"content": "@Helpers",
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},
{
"id": 974865879152095200,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 22:48:57",
"content": "you could try eliminating t and write y in terms of x",
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},
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"id": 974865911330783200,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 22:49:05",
"content": "then check some values from the graph",
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},
{
"id": 974865927961194500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 22:49:09",
"content": "see if it satisfies the equation",
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},
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"id": 974868381578707000,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:58:54",
"content": "",
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{
"id": 974868397881962500,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:58:58",
"content": "how about this one bro?",
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},
{
"id": 974868540492484600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 22:59:32",
"content": "Test?",
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},
{
"id": 974868583849029800,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 22:59:42",
"content": "its practice",
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},
{
"id": 974868674433417200,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 23:00:04",
"content": "on delta math",
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},
{
"id": 974868805497024500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 23:00:35",
"content": "Hint: sin^2 (t) + cos^2 (t) = 1",
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},
{
"id": 974869376677331000,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 23:02:51",
"content": "i just plug it in or i have to solve it when i plug it in",
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},
{
"id": 974869602200846500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 23:03:45",
"content": "x^2 = 13^2 cos^2 (t), y^2 = 13^2 sin^2 (t)",
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},
{
"id": 974869612153954300,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 23:03:47",
"content": "add both equations",
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},
{
"id": 974869750113005600,
"author_id": 692810763332485100,
"author_name": "anrixy",
"timestamp": "05/13/2022 23:04:20",
"content": "and that would be for A correct?",
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},
{
"id": 974869877087174700,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 23:04:50",
"content": "Yes",
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},
{
"id": 974869968170664000,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "05/13/2022 23:05:12",
"content": "For second you should square and use sin^2 (t) + cos^2 (t) = 1 in a different way",
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 23:34:20",
"content": "@anrixy Has your question been resolved?",
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"timestamp": "05/13/2022 23:39:47",
"content": "Channel closed",
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}
] |
help-9
|
dd7b427811494f4ba01d778e5d252c8e
|
199,938 |
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"author_name": "Mathematics Bot",
"timestamp": "05/13/2022 23:40:47",
"content": "Available help channel!",
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"author_name": "fr0sted",
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"timestamp": "05/14/2022 00:20:58",
"content": "Pinned a message.",
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"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 00:21:00",
"content": "what am i missing here",
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},
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"id": 974890314915532800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/14/2022 00:26:03",
"content": "@Moderators",
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},
{
"id": 974890371429572700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/14/2022 00:26:17",
"content": "ty",
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"id": 974890674606465000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/14/2022 00:27:29",
"content": "your biconditional introduction line numbers are wrong, for one",
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"author_name": "Namington",
"timestamp": "05/14/2022 00:27:37",
"content": "you should surely be citing lines 2 and 4, not lines 1 and 3",
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"timestamp": "05/14/2022 00:27:55",
"content": "im also not sure why you have a blank line, though perhaps thats just a notation convention i havent seen before?",
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"author_name": "fr0sted",
"timestamp": "05/14/2022 00:28:18",
"content": "god i love you",
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},
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"id": 974890894912262100,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 00:28:21",
"content": "im just dumb",
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"id": 974891018551959700,
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"author_name": "Namington",
"timestamp": "05/14/2022 00:28:51",
"content": "line 3 also seems irrelevant fwiw",
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{
"id": 974891091537039400,
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"author_name": "Namington",
"timestamp": "05/14/2022 00:29:08",
"content": "not that it makes your proof incorrect, its just unnecessary",
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"author_name": "fr0sted",
"timestamp": "05/14/2022 00:29:35",
"content": "can you enlighten me on my mess up here",
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"timestamp": "05/14/2022 00:30:18",
"content": "&I on lines 5 and 6 would yield (R ∨ T) & ~Q",
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"timestamp": "05/14/2022 00:30:34",
"content": "which is not what you want",
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"id": 974891556567928800,
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"timestamp": "05/14/2022 00:30:59",
"content": "hm i want & P",
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"id": 974891629498486800,
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"author_name": "Namington",
"timestamp": "05/14/2022 00:31:17",
"content": "you also want (R ∨ S), not (R ∨ T)",
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"timestamp": "05/14/2022 00:31:23",
"content": "though the way you get it should be fairly similar",
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"author_name": "Namington",
"timestamp": "05/14/2022 00:31:34",
"content": "use &E on (R & T), but instead of extracting T, extract R",
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"id": 974891739934494700,
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"timestamp": "05/14/2022 00:31:43",
"content": "and then you have (R ∨ S)",
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"id": 974891793537728500,
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"timestamp": "05/14/2022 00:31:56",
"content": "as for P, look at your first line. (i.e. your premise)",
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"timestamp": "05/14/2022 00:34:02",
"content": "so line 3 im changing :E 2 to :E 1",
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"timestamp": "05/14/2022 00:34:54",
"content": "that alone doesnt do anything",
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"author_name": "fr0sted",
"timestamp": "05/14/2022 00:47:14",
"content": "@Namington sorry im just lost",
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"timestamp": "05/14/2022 00:47:50",
"content": "it is impossible for you to conclude S",
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"id": 974895819864039400,
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"timestamp": "05/14/2022 00:47:56",
"content": "since your initial statement says nothing about S",
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"timestamp": "05/14/2022 00:47:57",
"content": "but that's fine",
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"timestamp": "05/14/2022 00:48:06",
"content": "you don't need S, you need (R ∨ S)",
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"timestamp": "05/14/2022 00:48:14",
"content": "all you need to have (R ∨ S) is R _or_ S",
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"timestamp": "05/14/2022 00:48:19",
"content": "S is impossible, so instead you should try to get R",
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"timestamp": "05/14/2022 00:48:26",
"content": "as for P, you can get P in a single step.",
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"timestamp": "05/14/2022 00:51:58",
"content": "i guess i dont need line 3",
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"timestamp": "05/14/2022 00:52:37",
"content": "you do need line 3",
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"author_name": "Namington",
"timestamp": "05/14/2022 00:52:58",
"content": "(and in line 3, you should be eliminating from line 2, not line 1)",
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"id": 974897132500836400,
"author_id": 105878844061286400,
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"timestamp": "05/14/2022 00:53:09",
"content": "you just \"skipped a step\" between lines 3 and 4",
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"timestamp": "05/14/2022 00:53:23",
"content": "(namely, ||you need to get R by itself and then cite that to make R ∨ S||)",
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"author_name": "fr0sted",
"timestamp": "05/14/2022 00:58:14",
"content": ":Praydge:",
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},
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"id": 974898775967551500,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 00:59:40",
"content": "idk if you have an nft wallet but id like to give you some for helping me out",
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},
{
"id": 974898873816481800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/14/2022 01:00:04",
"content": "i'm good, thanks.",
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},
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"id": 974899040728801300,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 01:00:44",
"content": "👍",
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},
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"id": 974899041685082100,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 01:00:44",
"content": "is there a limit on how much you can help?",
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},
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"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 01:18:29",
"content": "@fr0sted Has your question been resolved?",
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"timestamp": "05/14/2022 01:48:35",
"content": "@fr0sted Has your question been resolved?",
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"timestamp": "05/14/2022 02:55:35",
"content": "@fr0sted Has your question been resolved?",
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"timestamp": "05/14/2022 02:56:24",
"content": "@Helpers",
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},
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"id": 974942236166991900,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 03:52:22",
"content": "@Namington I figured out my last one but stuck on this one",
"attachments": [],
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"id": 974948294461620200,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 04:16:27",
"content": "",
"attachments": [
{
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"id": 974948309762445300,
"author_id": 259451378362089470,
"author_name": "fr0sted",
"timestamp": "05/14/2022 04:16:30",
"content": "this is the closest I can get",
"attachments": [],
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},
{
"id": 974978510089232400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 06:16:31",
"content": "@fr0sted Has your question been resolved?",
"attachments": [],
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{
"id": 259451378362089470,
"name": "fr0sted",
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},
{
"id": 975008709715562500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 08:16:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
19aa8599944f40f2af6dbc745c00eb14
|
199,939 |
[
{
"id": 975008963135426600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 08:17:31",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975009879393726500,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:21:10",
"content": "",
"attachments": [
{
"id": 975009878458380300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/975009878458380298/IMG_2814.png",
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"id": 975009881654435800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 08:21:10",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
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"messageId": 975009879393726500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 975009989766807600,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:21:36",
"content": "So i moved both sequences forward by 1",
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},
{
"id": 975010017273077800,
"author_id": 401511769274581000,
"author_name": "Wiz",
"timestamp": "05/14/2022 08:21:42",
"content": "@XxaurelxX thanks",
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"name": "XxaurelxX",
"discriminator": "0422",
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"id": 975010235070709800,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:22:34",
"content": "And I equalazed them",
"attachments": [],
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"reference": null
},
{
"id": 975010392801697900,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:23:12",
"content": "I separated L",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975010444186124400,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:23:24",
"content": "And now im a littel bit stuck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975011120484069400,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:26:05",
"content": "I think $L = ( 3K +2 ) / 4$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975011130818822100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 08:26:08",
"content": "**XxaurelxX**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/975011131020161024/755136797075570870.png",
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},
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"id": 975014183525576700,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:38:16",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975016118605455500,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:45:57",
"content": "I think K can vary from 0 to 99",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975018218295009300,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 08:54:18",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975021994410135600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 09:09:18",
"content": "@XxaurelxX Has your question been resolved?",
"attachments": [],
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{
"id": 755136797075570800,
"name": "XxaurelxX",
"discriminator": "0422",
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}
],
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},
{
"id": 975022427723669500,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 09:11:01",
"content": "No",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975024696695353300,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 09:20:02",
"content": "Anyone?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975032247432405100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 09:50:03",
"content": "@XxaurelxX Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 755136797075570800,
"name": "XxaurelxX",
"discriminator": "0422",
"nickname": "XxaurelxX",
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}
],
"reference": null
},
{
"id": 975032930546106400,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 09:52:45",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975032932043456500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 09:52:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2424a6ed39a1432aad739590012e3c30
|
199,940 |
[
{
"id": 975033184989347800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 09:53:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975035118123102200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:01:27",
"content": "Hey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975035120434155600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 10:01:27",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 975035118123102200,
"channelId": 486844875632017400,
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"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:02:26",
"content": "$1/16x^9$\n$1/16x^8$\n$1/64x^6 y^1^2$",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/975035365419282482/IMG_5083.png",
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},
{
"id": 975035492431175700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 10:02:56",
"content": "**dopediscorduser**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
"id": 975035492657684500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/975035492657684501/570064042895474698.png",
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},
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"id": 975035545409429500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:03:09",
"content": "Does this look right for 11,12, and 16?",
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},
{
"id": 975035733666582500,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:03:54",
"content": "your notation is confusing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975035815673606100,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:04:13",
"content": "try using \\`\\frac{}{}\\` like $\\frac{3x}{x + 7}$",
"attachments": [],
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"reference": null
},
{
"id": 975035845566406700,
"author_id": 755136797075570800,
"author_name": "XxaurelxX",
"timestamp": "05/14/2022 10:04:20",
"content": "Just use photomath",
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"name": "dopediscorduser",
"discriminator": "4906",
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},
{
"id": 975035906123759600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 10:04:35",
"content": "**Doggo**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
"id": 975035906249592800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/975035906249592852/591872343320821763.png",
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},
{
"id": 975035920833204200,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:04:38",
"content": "cmon latex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975035968694399000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:04:50",
"content": "why do you take everything instead of just in between $",
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},
{
"id": 975035998708826200,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:04:57",
"content": "anyways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975036065079492600,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:05:13",
"content": "`\\frac{a}{b}` becomes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975036080078336000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/14/2022 10:05:16",
"content": "$\\frac{a}{b}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975036091604295800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 10:05:19",
"content": "**Doggo**",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/975036091851747418/591872343320821763.png",
"fileName": "591872343320821763.png",
"fileSizeBytes": 3539
}
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},
{
"id": 975036986517753900,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:08:52",
"content": "Thanks I didn’t know that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975037293561782400,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:10:06",
"content": "$\\frac{1}{16x^9}$\n$\\frac{1}{16x^8}$\n$\\frac{1}{64x^6 y^1^2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975037303087042700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 10:10:08",
"content": "**dopediscorduser**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
"id": 975037303284183000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/975037303284183100/570064042895474698.png",
"fileName": "570064042895474698.png",
"fileSizeBytes": 8424
}
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},
{
"id": 975037321852387500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:10:12",
"content": "Is that more legible?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975037381692506100,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "05/14/2022 10:10:27",
"content": "What is that?",
"attachments": [],
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{
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"name": "XxaurelxX",
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}
],
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},
{
"id": 975041157069414400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 10:25:27",
"content": "@dopediscorduser Has your question been resolved?",
"attachments": [],
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{
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"name": "dopediscorduser",
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},
{
"id": 975044933746589800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 10:40:27",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7de80a33a27047b6b07360c1658a7b7c
|
199,941 |
[
{
"id": 975045187057356900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 10:41:28",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 975046067244642300,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 10:44:57",
"content": "Hi, I'm extremely confused about the last sentence, \"Also gcd(m,n)=1 so n|a_r\" hmmmm.....BUT WHY??",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/975046066409971742/Screen_Shot_2022-05-14_at_22.44.18.png",
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},
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"id": 975046070344237000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 10:44:58",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 975046067244642300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 975046234060505100,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 10:45:37",
"content": "I feel like I'm missing something trivial, but this really looks quite mysterious to me. Could anyone give me a hint?",
"attachments": [],
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"reference": null
},
{
"id": 975050010028834800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 11:00:37",
"content": "@ameliaC7313 Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "ameliaC7313",
"discriminator": "2877",
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],
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},
{
"id": 975050066089889800,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:00:51",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 975050079134179500,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:00:54",
"content": "pls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975050095957528700,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:00:58",
"content": "：（",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975050399813881900,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/14/2022 11:02:10",
"content": "Hi",
"attachments": [],
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"reference": null
},
{
"id": 975051143111643100,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/14/2022 11:05:08",
"content": "So because m and n are relatively prime, they do not share factors. And since a_r is an integer, the m must divide what is in the brackets beside -n/m. Therefore a_r=-nk so n divides a_r",
"attachments": [],
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},
{
"id": 975051297399119900,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:05:44",
"content": "w8 lemme think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051554891661300,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:06:46",
"content": "makes some sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051574617440300,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:06:50",
"content": "thanks for the help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051587888250900,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:06:54",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051589473681400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 11:06:54",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8946efe8419649e0b9461e8440ca6e3d
|
199,942 |
[
{
"id": 956957063077052400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 12:45:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956957667841171500,
"author_id": 713631093622046800,
"author_name": "Mark.W",
"timestamp": "03/25/2022 12:48:07",
"content": "Im stuck",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/956957666985508904/unknown.png",
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"id": 956957670655537200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 12:48:08",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 956957667841171500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 956958118900793300,
"author_id": 756121779310690300,
"author_name": "Spider",
"timestamp": "03/25/2022 12:49:54",
"content": "2(lb+bh+lh) = 6a^2",
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},
{
"id": 956958195874681000,
"author_id": 713631093622046800,
"author_name": "Mark.W",
"timestamp": "03/25/2022 12:50:13",
"content": "Oh-",
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},
{
"id": 956958230452527200,
"author_id": 756121779310690300,
"author_name": "Spider",
"timestamp": "03/25/2022 12:50:21",
"content": "put in values of l, b and h and find out a",
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},
{
"id": 956958255576383600,
"author_id": 713631093622046800,
"author_name": "Mark.W",
"timestamp": "03/25/2022 12:50:27",
"content": "ok thx",
"attachments": [],
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"reference": null
},
{
"id": 956962031930572900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 13:05:27",
"content": "@Mark.W Has your question been resolved?",
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{
"id": 956964221344698400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/25/2022 13:14:09",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
2884596dc43e4868bf5cad90c3aabce7
|
199,943 |
[
{
"id": 975051636403753000,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/14/2022 11:07:05",
"content": "Would you like me to elaborate on anything",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051782545895400,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:07:40",
"content": "yea I think I got your point",
"attachments": [],
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"reference": null
},
{
"id": 975051817266327600,
"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "05/14/2022 11:07:48",
"content": "thanks very much ；）",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975051835884855400,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/14/2022 11:07:53",
"content": "Oke, no problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975074868339023900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 12:39:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975076788621418500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:47:02",
"content": "",
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{
"id": 975076790571761800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 12:47:02",
"content": "Pinned a message.",
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"messageId": 975076788621418500,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 975076844678308000,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:47:15",
"content": "how to solve this?",
"attachments": [],
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"reference": null
},
{
"id": 975076868061536300,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:47:21",
"content": "i kinda lost my mind",
"attachments": [],
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},
{
"id": 975076888898850800,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:47:26",
"content": "and dont know how to do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975078827149631500,
"author_id": 582169443354804200,
"author_name": "Renanuya",
"timestamp": "05/14/2022 12:55:08",
"content": "One 0 is deleted when going from cm to m",
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},
{
"id": 975078890974380000,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:55:23",
"content": "ik",
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},
{
"id": 975078918308646900,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:55:30",
"content": "but how from cm to m :",
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},
{
"id": 975078929465503700,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:55:32",
"content": "i dont get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975078931688476800,
"author_id": 582169443354804200,
"author_name": "Renanuya",
"timestamp": "05/14/2022 12:55:33",
"content": "Since it is a cubic centimeter, three 0 are deleted.",
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},
{
"id": 975078949405204500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:55:37",
"content": "ik",
"attachments": [],
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"reference": null
},
{
"id": 975078962675990500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:55:40",
"content": "its 1000",
"attachments": [],
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"reference": null
},
{
"id": 975079108147032200,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/14/2022 12:56:15",
"content": "you can always think like this: 14000 cm^3 = 1 cm * 1 cm * 14000 cm = 0.01 m * 0.01 m * 140 m = 0.014 m^3",
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"id": 975079172609306600,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:56:30",
"content": "what about",
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"id": 975079357552918500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:14",
"content": "14000 cm^3 = 14000 : 1 000 000 = 0.014m^3",
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},
{
"id": 975079371826135200,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:18",
"content": "is this good?",
"attachments": [],
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"reference": null
},
{
"id": 975079397738561500,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/14/2022 12:57:24",
"content": "yeah there are many ways to convert",
"attachments": [],
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"reference": null
},
{
"id": 975079418949156900,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:29",
"content": "alr",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975079421612556300,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:30",
"content": "thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975079433172041900,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:32",
"content": "now i get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975079490470412300,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:46",
"content": "and one more question",
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},
{
"id": 975079505527976000,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:57:50",
"content": "what if i dm to m",
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"reference": null
},
{
"id": 975079683337113600,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:58:32",
"content": "so its 14000 m^3 = 14000 : 100 000= 0.14 or whater",
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"mentions": [],
"reference": null
},
{
"id": 975079707328544900,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:58:38",
"content": "would it be rigth?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975079784931532900,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/14/2022 12:58:56",
"content": "if m^3 to dm^3 you should multiply",
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"mentions": [],
"reference": null
},
{
"id": 975079862652006500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:59:15",
"content": "oi sorry",
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},
{
"id": 975079880297435300,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:59:19",
"content": "M has be dm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975079907552006100,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:59:26",
"content": "my bad",
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"reference": null
},
{
"id": 975079957808152600,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/14/2022 12:59:38",
"content": "but not 100 000",
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"reference": null
},
{
"id": 975079972068819100,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 12:59:41",
"content": "1000?",
"attachments": [],
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"reference": null
},
{
"id": 975080207436353500,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/14/2022 13:00:37",
"content": "yeah",
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{
"id": 975080215489429500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:00:39",
"content": "alr",
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},
{
"id": 975080218605801600,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:00:40",
"content": "thx",
"attachments": [],
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"reference": null
},
{
"id": 975080255440166900,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:00:49",
"content": "i think ill be good for tommorows math test",
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},
{
"id": 975080258686570500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:00:49",
"content": "xD",
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},
{
"id": 975080317553631200,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:01:03",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080319390711900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 13:01:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7a50d8b7f87d4d1c9749e608ad0c0e1f
|
199,944 |
[
{
"id": 975080383714558000,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:01:19",
"content": "oi",
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"reference": null
},
{
"id": 975080386004680700,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:01:20",
"content": "wtf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080500190396500,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:01:47",
"content": ".reopen",
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"reference": null
},
{
"id": 975080506272137200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 13:01:48",
"content": "✅",
"attachments": [],
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"reference": null
},
{
"id": 975080707389018100,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:02:36",
"content": "@Helpers",
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"reference": null
},
{
"id": 975080726376640600,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:02:41",
"content": "can u close it?",
"attachments": [],
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"reference": null
},
{
"id": 975080759280951300,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:02:49",
"content": "thx",
"attachments": [],
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"reference": null
},
{
"id": 975080774325928100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/14/2022 13:02:52",
"content": "you did close it lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080792327848100,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:02:57",
"content": "oh really",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080826725347500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/14/2022 13:03:05",
"content": "then reopened it lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080851824066600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 13:03:11",
"content": "\".close\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080907616714900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/14/2022 13:03:24",
"content": "ya you did that, then reopened it for whatever reason",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975080918723207200,
"author_id": 724278530581463200,
"author_name": "GHOSTY",
"timestamp": "05/14/2022 13:03:27",
"content": ".close",
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"mentions": [],
"reference": null
},
{
"id": 975080921147539500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 13:03:27",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1fa7a5d449714ccc9747a420b16e74d7
|
199,945 |
[
{
"id": 975101702959169500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 14:26:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 975103054401659000,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:31:24",
"content": "",
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"id": 975103056674959500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 14:31:25",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 975103054401659000,
"channelId": 486844875632017400,
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}
},
{
"id": 975103090267127800,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:31:33",
"content": "can someone help me with b)?",
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"reference": null
},
{
"id": 975103277781901300,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:32:17",
"content": "find the area of S",
"attachments": [],
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"reference": null
},
{
"id": 975103443465285600,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:32:57",
"content": "",
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{
"id": 975103481532780700,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:33:06",
"content": "i came so far but this is a ridiculous integral",
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},
{
"id": 975103594166616000,
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"timestamp": "05/14/2022 14:33:33",
"content": "",
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"id": 975103713733644400,
"author_id": 312581003095048200,
"author_name": "Akintos",
"timestamp": "05/14/2022 14:34:01",
"content": "like the solution is making absolutely 0 sense, just removed the square root term",
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},
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"timestamp": "05/14/2022 14:49:02",
"content": "@Akintos Has your question been resolved?",
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"timestamp": "05/14/2022 15:19:48",
"content": "@Akintos Has your question been resolved?",
"attachments": [],
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"timestamp": "05/14/2022 15:21:27",
"content": "whatever maaan",
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"timestamp": "05/14/2022 15:21:29",
"content": "Channel closed",
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}
] |
help-9
|
f4165db3c27f40f9a1155dd891194a26
|
199,946 |
[
{
"id": 975115909809184900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 15:22:29",
"content": "Available help channel!",
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},
{
"id": 975116062263742500,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:23:06",
"content": "could someone help me solve this system?",
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"content": "Pinned a message.",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:24:39",
"content": "subtract x from 1st equation",
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"id": 975116469660688400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:24:43",
"content": "what do u get",
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},
{
"id": 975117231342096500,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:27:44",
"content": "y=x^2",
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},
{
"id": 975117235351879800,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:27:45",
"content": "?",
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},
{
"id": 975117529137692700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:28:55",
"content": "yes",
"attachments": [],
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},
{
"id": 975117735342260400,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:29:44",
"content": "and then do i plug that into the second",
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},
{
"id": 975117754019508200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:29:49",
"content": "yes",
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},
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"id": 975117967912214500,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:30:40",
"content": "so itd be (x^2)^2 +4x^2=12?",
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},
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"id": 975118004838862800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:30:49",
"content": "minus 4x^2",
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},
{
"id": 975118021318291600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:30:53",
"content": "but yes",
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},
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"id": 975118086938165200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:31:08",
"content": "also note that in the first equation, x cannot be positive",
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"id": 975118212020703200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:31:38",
"content": "because sqrt(y) is non-negative",
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"id": 975118236179914900,
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"author_name": "ari",
"timestamp": "05/14/2022 15:31:44",
"content": "oh woops",
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},
{
"id": 975118274213867500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:31:53",
"content": "and a positive plus a non-negative is positive (not 0)",
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},
{
"id": 975118330220409000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:32:06",
"content": "so really y = x^2 given that x <= 0",
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},
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"id": 975118378350031000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:32:18",
"content": "just remember to use that condition to check the values of x you get from the 2nd equation",
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"id": 975118436894126100,
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"author_name": "ari",
"timestamp": "05/14/2022 15:32:32",
"content": "alright i was thinking of factoring",
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"id": 975118622269792400,
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"author_name": "ari",
"timestamp": "05/14/2022 15:33:16",
"content": "the second equation and i got (x^2-6)(x^2+4)",
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"timestamp": "05/14/2022 15:33:24",
"content": "so do i just get the solutions from there",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:33:49",
"content": "this would give x^4 - 2x^2 - 24",
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"id": 975118824808534100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:34:04",
"content": "not x^4 - 4x^2 - 12",
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{
"id": 975118913908125800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:34:25",
"content": "the (x^2 - 6) part is right though",
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},
{
"id": 975119528579190800,
"author_id": 338850063012986900,
"author_name": "ari",
"timestamp": "05/14/2022 15:36:52",
"content": "whered you get that 24 from",
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},
{
"id": 975119861590139000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:38:11",
"content": "-6 times 4",
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},
{
"id": 975119972483354600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:38:38",
"content": "(x + a)(x + b) = x^2 + (a + b)x + ab",
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{
"id": 975120133322321900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:39:16",
"content": "x -> x^2\na -> -6\nb -> 4\nthus x^4 + (-6 + 4)x^2 + (-6 times 4) = x^4 - 2x^2 - 24",
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},
{
"id": 975120622344618100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/14/2022 15:41:13",
"content": "original orange vs (x^2-6)(x^2+4) blue",
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"timestamp": "05/14/2022 15:41:30",
"content": "@ari",
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"timestamp": "05/14/2022 15:51:52",
"content": "@ari Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
b59097da2e1c4f93aad1b5337fe93058
|
199,947 |
[
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{
"id": 975128204375363700,
"author_id": 276789332063420400,
"author_name": "ersen",
"timestamp": "05/14/2022 16:11:20",
"content": "Probably I've to use trigonometrical triangle but I can't.",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/14/2022 16:13:50",
"content": "In its current form, a trig sub wouldn't work. Consider a u-sub to simplify it, first.",
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"id": 975130109596033200,
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"content": "I said u = (2x^2)+5 but I think I'm doing something wrong to do u-sub",
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"content": "@ersen Has your question been resolved?",
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"timestamp": "05/14/2022 16:56:50",
"content": ".reopen",
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},
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"id": 975139985516818400,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 16:58:09",
"content": "Help",
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},
{
"id": 975139993792159700,
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 16:58:19",
"content": "Can someone help me solve this function?",
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},
{
"id": 975140795915046900,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:01:22",
"content": "@Helpers",
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{
"id": 975143313353109500,
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"content": "@ersen Has your question been resolved?",
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"timestamp": "05/14/2022 17:16:24",
"content": "solve what bruh",
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"author_id": 492385432143790100,
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"timestamp": "05/14/2022 17:17:49",
"content": "the problem",
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"id": 975144960150085600,
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"author_name": "🌙{Earthling}🌑",
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"content": "",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:17:59",
"content": "this function",
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},
{
"id": 975145079486414800,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:18:24",
"content": "it needs to be differentiated",
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},
{
"id": 975145185069641900,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:18:49",
"content": "i tried to solve it, but I fail to reach the answer",
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},
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"id": 975145282968899700,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:19:12",
"content": "@<><><>",
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{
"id": 975145916547878900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/14/2022 17:21:43",
"content": "Have you learned quotient rule",
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},
{
"id": 975145966158114800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/14/2022 17:21:55",
"content": "or chain rule",
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},
{
"id": 975145989335822300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/14/2022 17:22:01",
"content": "or product rule",
"attachments": [],
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},
{
"id": 975146118440693800,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:22:31",
"content": "yes",
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},
{
"id": 975146140225929300,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:22:37",
"content": "i used the chain rule",
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},
{
"id": 975146260141080600,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:23:05",
"content": "one sec",
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},
{
"id": 975146531076321400,
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:24:10",
"content": "",
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{
"id": 975146561979945000,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:24:17",
"content": "the answer is below but I fail to get it",
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},
{
"id": 975146730167337100,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:24:57",
"content": "want me to show you how i tried to solve it?",
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},
{
"id": 975148225885515900,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:30:54",
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"timestamp": "05/14/2022 17:31:26",
"content": "i get the answer but weirdly (1-x^2)(1-2x^3) is also left",
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"timestamp": "05/14/2022 17:31:45",
"content": "so i dont know how i should get rid of it",
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"timestamp": "05/14/2022 17:32:13",
"content": "A nice differentiation technique for dealing with things like this",
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"content": "is",
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"content": "logarithmic differentiation",
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"content": "Assuming you have learned implicit differentiation",
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"timestamp": "05/14/2022 17:32:41",
"content": "Then you can rewrite expression as",
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"timestamp": "05/14/2022 17:33:10",
"content": "$\\ln{y} = \\ln{3}-(\\ln({1-x^2}) + \\ln({1-2x^3}))$",
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"timestamp": "05/14/2022 17:33:27",
"content": "**azeem321**",
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"timestamp": "05/14/2022 17:33:34",
"content": "hmm",
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"timestamp": "05/14/2022 17:33:39",
"content": "and then differentiate both sides",
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"timestamp": "05/14/2022 17:34:26",
"content": "So $\\frac{y'}{y} = -(\\frac{-2x}{1-x^2} + \\frac{-6x^2}{1-2x^3})$",
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"timestamp": "05/14/2022 17:34:29",
"content": "**azeem321**",
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"timestamp": "05/14/2022 17:35:05",
"content": "Did you get that or made no sense whatsoever?",
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"timestamp": "05/14/2022 17:35:31",
"content": "i'm kinda confused",
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"timestamp": "05/14/2022 17:35:44",
"content": "do you get how i arrived at this",
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"timestamp": "05/14/2022 17:36:16",
"content": "hmm nope",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:36:51",
"content": "do you think the problem can be solved with the (U/V)` formula?",
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"timestamp": "05/14/2022 17:38:04",
"content": "Yeah, but it's long. So $$y' = \\frac{[3]'(1-x^2)(1-2x^3) - 3[(1-x^2)(1-2x^3)]'}{(1-x^2)^2(1-2x^3)^2}$$",
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"timestamp": "05/14/2022 17:38:07",
"content": "**azeem321**",
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"timestamp": "05/14/2022 17:38:23",
"content": "yeah, thats how i tried to do it",
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"content": "[x]' this symbol means derivative",
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"timestamp": "05/14/2022 17:38:45",
"content": "Ok let's start with the derivative of 3",
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"timestamp": "05/14/2022 17:38:48",
"content": "what is that",
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"timestamp": "05/14/2022 17:38:56",
"content": "0",
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"timestamp": "05/14/2022 17:39:02",
"content": "ok so that whole product is 0",
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"author_id": 492385432143790100,
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"timestamp": "05/14/2022 17:39:09",
"content": "oooh",
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"author_name": "<><><>",
"timestamp": "05/14/2022 17:39:10",
"content": "now the derivative of (1-x^2)(1-2x^3)",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:39:12",
"content": "you are right",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/14/2022 17:39:15",
"content": "what did u do for that",
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"timestamp": "05/14/2022 17:39:19",
"content": "omg",
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"timestamp": "05/14/2022 17:39:20",
"content": "thank you",
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"id": 975150366914138100,
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"timestamp": "05/14/2022 17:39:24",
"content": "wait wait",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:39:28",
"content": "i understood where my mistake was yay",
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"timestamp": "05/14/2022 17:39:31",
"content": "oh",
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"id": 975150398245584900,
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"timestamp": "05/14/2022 17:39:32",
"content": "good",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:39:42",
"content": "thank you thank you",
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"id": 975150446048059500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/14/2022 17:39:43",
"content": "u can complete it now?",
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"timestamp": "05/14/2022 17:39:46",
"content": "yep",
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"timestamp": "05/14/2022 17:39:49",
"content": "ok cool",
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"id": 975150864148881500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 17:41:23",
"content": "Channel closed",
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}
] |
help-9
|
3c51b8946dc145bdbc3eff685f603bd3
|
199,948 |
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"timestamp": "05/14/2022 17:41:39",
"content": ".reopen",
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"content": "@<><><> do you know how to solve limits?",
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"content": "Available help channel!",
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"id": 975151253006991400,
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:45:29",
"content": "Can someone help me reach the solution of this problem? The problem is the limit of a function",
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"content": "Pinned a message.",
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"timestamp": "05/14/2022 17:46:03",
"content": "the answer is 1, but I don't know how to reach it",
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"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:47:25",
"content": "simplify bottom to 2cot(x)?",
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"timestamp": "05/14/2022 17:48:01",
"content": "dik?",
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"id": 975152603090542600,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "05/14/2022 17:48:18",
"content": "I think he called you a dick",
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"id": 975152617560879100,
"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:48:21",
"content": "no",
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"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:48:24",
"content": "that was an accident",
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"id": 975152650448416800,
"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:48:29",
"content": "randomly pressed a few letters",
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"timestamp": "05/14/2022 17:48:31",
"content": "hahah",
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"timestamp": "05/14/2022 17:48:44",
"content": "np",
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"author_id": 492385432143790100,
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"timestamp": "05/14/2022 17:49:10",
"content": "one second",
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"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:49:15",
"content": "i was going to say something about moving x to the bottom",
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"id": 975152871911858300,
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"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:49:22",
"content": "but idk if it will work",
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{
"id": 975152910776271000,
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"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:49:31",
"content": "yeah i think i meant to say idk",
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"id": 975152928778256400,
"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:49:35",
"content": "instead of \"dik\"",
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{
"id": 975152962013917200,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:49:43",
"content": "yeah thats what i thought haha",
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"id": 975152977604124700,
"author_id": 744723117577994400,
"author_name": "!deltoidal icositetrahedron",
"timestamp": "05/14/2022 17:49:47",
"content": "lol",
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"timestamp": "05/14/2022 17:50:04",
"content": "ye idk if it will work too",
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"timestamp": "05/14/2022 17:50:10",
"content": "oh",
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"timestamp": "05/14/2022 17:50:11",
"content": "ik",
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"author_name": "gmod",
"timestamp": "05/14/2022 17:50:24",
"content": "your initial idea of using l'hopital's rule isn't correct",
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"timestamp": "05/14/2022 17:50:39",
"content": "that would work if the limit was approaching 0",
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"timestamp": "05/14/2022 17:50:43",
"content": "not 0^+",
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"timestamp": "05/14/2022 17:50:59",
"content": "oh",
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"timestamp": "05/14/2022 17:51:04",
"content": "so think of plugging in a really small positive number in for x",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:51:28",
"content": "would you show me how to do it?",
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"timestamp": "05/14/2022 17:51:38",
"content": "yeah so",
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"timestamp": "05/14/2022 17:51:56",
"content": "the natural log of a really small positive number is -infinity",
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"timestamp": "05/14/2022 17:52:05",
"content": "based on the graph of lnx",
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"timestamp": "05/14/2022 17:52:10",
"content": "does that make sense?",
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"timestamp": "05/14/2022 17:52:26",
"content": "i think so",
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"timestamp": "05/14/2022 17:52:45",
"content": "so now we plug in a really small number for x in the denominator",
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"timestamp": "05/14/2022 17:52:52",
"content": "2x will continue to be really small",
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"timestamp": "05/14/2022 17:53:01",
"content": "practically zero but not exactly zero",
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"timestamp": "05/14/2022 17:53:12",
"content": "sin(2x) will still be small",
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"timestamp": "05/14/2022 17:53:21",
"content": "since sin(0)=0",
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"timestamp": "05/14/2022 17:53:47",
"content": "so ln(sin(2x)) will again be -infinity because we are plugging in a small number into the log",
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"timestamp": "05/14/2022 17:54:03",
"content": "so we get -infinity/-infinity and our answer is 1",
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"timestamp": "05/14/2022 17:54:25",
"content": "let me just double check that that answer is correct",
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"timestamp": "05/14/2022 17:54:44",
"content": "this sounds interesting",
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"timestamp": "05/14/2022 17:55:08",
"content": "but i am not sure if a random number can be plugged in here",
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"timestamp": "05/14/2022 17:55:17",
"content": "since x is leaning towards 0+",
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"timestamp": "05/14/2022 17:55:54",
"content": "well you can't plug in an actual number",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:55:59",
"content": "as far as i am aware we can only plug in the number to which x is leaning towards",
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"timestamp": "05/14/2022 17:56:04",
"content": "you just have to think of an extremely small positive number",
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"timestamp": "05/14/2022 17:56:14",
"content": "0+ is a really small positive number",
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"timestamp": "05/14/2022 17:57:30",
"content": "hmm",
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"timestamp": "05/14/2022 17:57:33",
"content": "0 is a left endpoint, so we can use lopital",
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"timestamp": "05/14/2022 17:57:45",
"content": "nice",
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"timestamp": "05/14/2022 17:57:46",
"content": "really?",
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"timestamp": "05/14/2022 17:57:51",
"content": "yea sure",
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"timestamp": "05/14/2022 17:57:57",
"content": "oh I didn't know that",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:58:04",
"content": "so what do i do from here?",
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"timestamp": "05/14/2022 17:58:24",
"content": "notice u can write it as tan(2x)/(2x)",
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"timestamp": "05/14/2022 17:58:44",
"content": "oh",
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"author_id": 492385432143790100,
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"timestamp": "05/14/2022 17:59:01",
"content": "what can i write as tan(2x)/(2x)?",
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"timestamp": "05/14/2022 17:59:11",
"content": "the final expression",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 17:59:48",
"content": "1/sin2x*2xos2x = tan(2x)/(2x)?",
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"timestamp": "05/14/2022 18:00:31",
"content": "uhh u messed it",
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"timestamp": "05/14/2022 18:00:48",
"content": "oh",
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"timestamp": "05/14/2022 18:01:10",
"content": "(1/x)/(2cosx/sin2x)=(1/x)/(2cot2x)=(tan2x)/2x",
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"timestamp": "05/14/2022 18:01:50",
"content": "ooh",
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"timestamp": "05/14/2022 18:02:23",
"content": "now can u evaluate the limit?",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:02:54",
"content": "is it tan2x/2x=1?",
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"timestamp": "05/14/2022 18:03:13",
"content": "it is, but u know how?",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:03:13",
"content": "because i know that tanx/x = 1",
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"timestamp": "05/14/2022 18:03:17",
"content": "yea thats it",
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"timestamp": "05/14/2022 18:03:22",
"content": "we make a u sub, set u=2x",
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"timestamp": "05/14/2022 18:03:31",
"content": "oh",
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"id": 975156465440522200,
"author_id": 492385432143790100,
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"timestamp": "05/14/2022 18:03:38",
"content": "yeha nvm what i just wrote was wrong",
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"timestamp": "05/14/2022 18:03:43",
"content": "lim x->0 tan(2x)/2x= lim u->0 tan(u)/u",
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"timestamp": "05/14/2022 18:03:49",
"content": "=1",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:04:29",
"content": "oh wow",
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"id": 975156765928882300,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:04:50",
"content": "i've never seen this before, pretty cool",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:05:03",
"content": "thank you!",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:15:41",
"content": "Can someone help me with this limit of a function?",
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"timestamp": "05/14/2022 18:15:43",
"content": "",
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"id": 975159576448106500,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:16:00",
"content": "I'm not quite sure what to do",
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"id": 975160069761159200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:17:58",
"content": "factorize by the biggest term in the denominator and the numerator",
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"id": 975160094960517100,
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"author_name": "Benjamin",
"timestamp": "05/14/2022 18:18:04",
"content": "in terms of power of x",
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"id": 975160298329751600,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:18:52",
"content": "is the biggest one 12x^3?",
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"id": 975160393200730200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:19:15",
"content": "the biggest term ius 6x^4 for the numerator and -x^4 for thedenominator",
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"timestamp": "05/14/2022 18:20:03",
"content": "hmm",
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"content": "",
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"timestamp": "05/14/2022 18:21:14",
"content": "ooh i see",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:21:31",
"content": "but isn't this done only when X leans towards infinity?",
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"id": 975161027534659600,
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"timestamp": "05/14/2022 18:21:46",
"content": "oh nvm",
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"timestamp": "05/14/2022 18:21:55",
"content": "i should read the whole question before speaking",
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:22:01",
"content": "haha yep",
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"timestamp": "05/14/2022 18:22:18",
"content": "the method is the same",
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"id": 975161214915194900,
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"author_name": "Benjamin",
"timestamp": "05/14/2022 18:22:31",
"content": "but here the \"strezngth\" of the term",
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"id": 975161224998309900,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:22:33",
"content": "is reversed",
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"timestamp": "05/14/2022 18:22:37",
"content": "so 1 is the strongest",
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"id": 975161249006497800,
"author_id": 166861640178991100,
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"timestamp": "05/14/2022 18:22:39",
"content": "then x",
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"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:22:41",
"content": "then x²",
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"id": 975161357529927800,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:23:05",
"content": "but you dont need to factorize here",
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"timestamp": "05/14/2022 18:23:13",
"content": "just compute the limit of the top",
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"id": 975161413205102700,
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"timestamp": "05/14/2022 18:23:18",
"content": "and the limit of the bottom",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:23:41",
"content": "hmm",
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{
"id": 975161848766791700,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:25:02",
"content": "whats the limit of 6x^4 when x goes to 0?",
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"id": 975161920489414700,
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"timestamp": "05/14/2022 18:25:19",
"content": "i think 0",
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"id": 975161934938771500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:25:22",
"content": "2 + 8 is 28?",
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"id": 975161935974776800,
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"timestamp": "05/14/2022 18:25:23",
"content": "right",
"attachments": [],
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"id": 975161982103720000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:25:34",
"content": "then whats the limit of -x ?",
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"id": 975162032183726200,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:25:46",
"content": "-0",
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"id": 975162045232201700,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:25:49",
"content": "so 0",
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"id": 975162050282160100,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:25:50",
"content": "yeah",
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},
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"id": 975162065792663600,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:25:54",
"content": "and the limit of -5",
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"id": 975162114450800600,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:26:05",
"content": "-5?",
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"id": 975162119790145500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:26:06",
"content": "Try plugging in and check, numerator is -5 and denominator tends to +0, so L=-inf.",
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"timestamp": "05/14/2022 18:26:08",
"content": "right",
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"id": 975162174517436400,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 18:26:20",
"content": "so lim( 6x^4 -x -5) =-5",
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"id": 975162278871711700,
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"timestamp": "05/14/2022 18:26:44",
"content": "do the same for the bottom term",
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"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:27:21",
"content": "oh i see",
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"id": 975162477547515900,
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"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:27:32",
"content": "but i though that i should find the derivative first",
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"id": 975162519448584200,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:27:42",
"content": "since it's a limit of a function",
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"id": 975162536292917400,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:27:46",
"content": "was i wrong?",
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"id": 975162552365486100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:27:50",
"content": "Yes",
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"id": 975162592777601200,
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"timestamp": "05/14/2022 18:27:59",
"content": "you dont need derivatives to find limits",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:28:11",
"content": "It's not indeterminate form, that u can use LH rule",
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"author_name": "Deleted User",
"timestamp": "05/14/2022 18:28:47",
"content": "Check out the proof for that",
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"id": 975162942158942200,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:29:23",
"content": "okay",
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{
"id": 975163001655164900,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:29:37",
"content": "i am confused about this tho:",
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"id": 975163039324209200,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:29:46",
"content": "why did we find the derivative here:",
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},
{
"id": 975163044931969000,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:29:47",
"content": "",
"attachments": [
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{
"id": 975163118948851700,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:30:05",
"content": "but finding the derivative of the next problem was not needed?",
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"id": 975163149219143800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:30:12",
"content": "It's inf/inf indeterminate form",
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"id": 975163153199546500,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:30:13",
"content": "although both are functions",
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},
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"id": 975163179992748000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:30:19",
"content": "The other one wasnt",
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"id": 975163313476481200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/14/2022 18:30:51",
"content": "Perhaps check out indeterminate forms in ur text book again",
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},
{
"id": 975163441536987100,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:31:22",
"content": "okay, will do",
"attachments": [],
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},
{
"id": 975163452622512100,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:31:24",
"content": "thanks again!",
"attachments": [],
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},
{
"id": 975163734173573100,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:32:31",
"content": "oooh i really got it now haha",
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},
{
"id": 975163737952628700,
"author_id": 492385432143790100,
"author_name": "🌙{Earthling}🌑",
"timestamp": "05/14/2022 18:32:32",
"content": "yay",
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},
{
"id": 975167513618948100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 18:47:32",
"content": "@🌙{Earthling}🌑 Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 18:59:36",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
619004ae2b0942b7826d96d25241def9
|
199,949 |
[
{
"id": 975170802716643300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 19:00:37",
"content": "Available help channel!",
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},
{
"id": 975178322793336800,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:30:30",
"content": "Someone walk through this with me?",
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"timestamp": "05/14/2022 19:30:30",
"content": "Pinned a message.",
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{
"id": 975178414875107300,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:30:52",
"content": "Ik it's Y = x² + (5×6) / 4(sqrt64) + x² - 2",
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},
{
"id": 975178440821067900,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:30:58",
"content": "But what steps do u take to make x subject",
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},
{
"id": 975179371574874100,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:34:40",
"content": "Would I multiply Y by the bottom",
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},
{
"id": 975179391111954400,
"author_id": 665511201928773600,
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"timestamp": "05/14/2022 19:34:44",
"content": "idkk I'm sorry",
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},
{
"id": 975179524947996700,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:35:16",
"content": "First let’s simplify this a bit:\n\n$f(x) = \\frac{x^2 + 30}{x^2 + 4(8) - 2}$",
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},
{
"id": 975179535815430100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 19:35:19",
"content": "**THEBIGTHREE**",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:36:04",
"content": "Then once more:\n\n$f(x) = \\frac{x^2 + 30}{x^2 + 30} = 1$",
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},
{
"id": 975179742925979600,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:36:08",
"content": "Yup",
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},
{
"id": 975179766506328000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 19:36:14",
"content": "**THEBIGTHREE**",
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"id": 975179780183965700,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:36:17",
"content": "Yoo",
"attachments": [],
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},
{
"id": 975179796214579200,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:36:21",
"content": "I didn't even mean to make it 1",
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},
{
"id": 975179918273048700,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:36:50",
"content": "I think that’s just how the problem was given?",
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},
{
"id": 975179958395752400,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:37:00",
"content": "And then to find the inverse, just swap x and y",
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},
{
"id": 975179977685348400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:37:04",
"content": "I wrote it so I made I accidentally 1",
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},
{
"id": 975180017082449900,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:37:14",
"content": "Ohh haha",
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},
{
"id": 975180030185447400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:37:17",
"content": "lmao",
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},
{
"id": 975180061797937300,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:37:24",
"content": "So F^-1 = 1?",
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},
{
"id": 975180159206453200,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:37:47",
"content": "Not quite",
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},
{
"id": 975180179678855200,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:37:52",
"content": "Surely u can't leave jt like that",
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},
{
"id": 975180183613108400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:37:53",
"content": "Yh",
"attachments": [],
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},
{
"id": 975180189090865300,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:37:55",
"content": "If f(x) = 1",
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},
{
"id": 975180221215014900,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:38:02",
"content": "Then f-1 x is just",
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},
{
"id": 975180227166748700,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:38:04",
"content": "-1",
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},
{
"id": 975180232610947100,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:38:05",
"content": "Yh",
"attachments": [],
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"reference": null
},
{
"id": 975180295340966000,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:38:20",
"content": "The inverse is basically swapping the x and the y",
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},
{
"id": 975180334436065400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:38:29",
"content": "Yh",
"attachments": [],
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"reference": null
},
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:38:31",
"content": "So instead of y = 1, it’s x = 1",
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"author_name": "b0a",
"timestamp": "05/14/2022 19:38:44",
"content": "I was just confused as to how to go about making them swapped",
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"id": 975180403155554300,
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"timestamp": "05/14/2022 19:38:46",
"content": "Correctly",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:38:47",
"content": "So the equation is x = 1, which isn’t really a function",
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"id": 975180423569240000,
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"timestamp": "05/14/2022 19:38:50",
"content": "Yh",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:38:56",
"content": "Lemme give another example",
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"timestamp": "05/14/2022 19:39:03",
"content": "So how'd I find f-1",
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"timestamp": "05/14/2022 19:39:10",
"content": "Of that",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:39:30",
"content": "Well it’s just x = 1 is the equation",
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"author_name": "b0a",
"timestamp": "05/14/2022 19:39:48",
"content": "so u can't have f^-1(x)?",
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"timestamp": "05/14/2022 19:39:57",
"content": "No, because it’s not a function",
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"timestamp": "05/14/2022 19:40:00",
"content": "Oh",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:40:09",
"content": "A function needs to have one and only one output for every input",
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"id": 975180785260838900,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:40:17",
"content": "oh",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:40:35",
"content": "And since x is the input, there’s only one valid input and infinite outputs (y can be anything)",
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"author_name": "b0a",
"timestamp": "05/14/2022 19:40:50",
"content": "Please gimmie a different question thenn xd",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:40:54",
"content": "Yep haha",
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"timestamp": "05/14/2022 19:40:56",
"content": "A hard one for a gcse student",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:41:20",
"content": "So if y = (x + 1)/(2x+3)",
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"author_name": "b0a",
"timestamp": "05/14/2022 19:42:47",
"content": "2xy+ 3y - 1 = x",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:44:04",
"content": "Swap the x and y:\nx = (y + 1)/(2y + 3)\n\nMult by the denom\nx(2y +3) = y + 1\n\nExpand and move to the left\n2xy + 3x - y = 1\n\nFactor out the y\ny(2x - 1) + 3x = 1\n\nMove to right\ny(2x - 1) = 3x + 1\n\nDivide\ny = (3x +1)/(2x -1)",
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"author_name": "b0a",
"timestamp": "05/14/2022 19:44:48",
"content": "Oh shit th",
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"id": 975181928762343400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:44:49",
"content": "Yh",
"attachments": [],
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},
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"id": 975181951143116800,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:44:55",
"content": "Can't have y in the answer",
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},
{
"id": 975181995183312900,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:45:05",
"content": "I'm dumb xd",
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"id": 975182095091654700,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:45:29",
"content": "Can u write one for me to solve alone pls",
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"id": 975182101928362000,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:45:31",
"content": "Or try to",
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},
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"id": 975182303389155300,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:46:19",
"content": "Yep",
"attachments": [],
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"id": 975182538630889600,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 19:47:15",
"content": "y = (x^2 - 4)/((x + 2)(x - 3))",
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"id": 975183471909691400,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:50:57",
"content": "Ty",
"attachments": [],
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},
{
"id": 975184204637823100,
"author_id": 665511201928773600,
"author_name": "b0a",
"timestamp": "05/14/2022 19:53:52",
"content": "$\\, f(x)\\,=\\,\\frac{x²-4}{((x+2)(x-3))}\\,,\\,Find\\,F^-^1$",
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"id": 975184266675765200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 19:54:07",
"content": "**b0a**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 20:08:52",
"content": "@b0a Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 20:08:57",
"content": "Channel closed",
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}
] |
help-9
|
4345eeef2be04c49acce76786731e523
|
199,950 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 20:09:57",
"content": "Available help channel!",
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},
{
"id": 975190344608141300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:18:16",
"content": "Can someone point me to a proof of this? Assuming it is true...it feels familiar and I verified this was true for a problem I recently solved.",
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"id": 975190347317674000,
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"timestamp": "05/14/2022 20:18:16",
"content": "Pinned a message.",
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"id": 975190348366237700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:18:17",
"content": "$\\sum_{k=1}^{n-1} {\\binom{n}{k} \\binom{n-1}{k-1}} = \\binom{(n-1)+n-1}{(n-1)}$, where $0 < k < n$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 20:19:55",
"content": "**Disorganized**",
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"author_name": "Disorganized",
"timestamp": "05/14/2022 20:25:40",
"content": "I do not know what this relationship or theorem is called, if it even has a name.\nThe formula on the right is the multiset formula that counts all the length-`k` subsets of a set of length-`n`.\nAnother interpretation is that it is the stars-and-bars formula that counts the number of length-`k` subsets you can make from a set of size-`n`, where elements can be repeated and the order of the buckets (partitions) doesn't matter.",
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"author_name": "Disorganized",
"timestamp": "05/14/2022 20:26:11",
"content": "The middle binomial is stars-and-bars where each bucket must always contain at least one object.",
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"timestamp": "05/14/2022 20:26:34",
"content": "The one on the left is a binomial.",
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"id": 975192826491056300,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/14/2022 20:28:08",
"content": "how do you have ks outside of the sum on the right side of the equation",
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"timestamp": "05/14/2022 20:31:18",
"content": "the right side isn't a sum",
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"id": 975193707785629800,
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"author_name": "Benjamin",
"timestamp": "05/14/2022 20:31:38",
"content": "i mean",
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"author_name": "Benjamin",
"timestamp": "05/14/2022 20:31:45",
"content": "the left side doesnt depend on k",
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"id": 975193759253934200,
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"author_name": "Benjamin",
"timestamp": "05/14/2022 20:31:50",
"content": "but the right side does",
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"id": 975193823439380500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:32:05",
"content": "you are right",
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"id": 975193833056899100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:32:08",
"content": "let me fix",
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{
"id": 975194278475231200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:33:54",
"content": "$\\sum_{k=1}^{n-1} {\\binom{n}{k} \\binom{n-1}{k-1}} = \\binom{(n-1)+n-1}{(n-1)}$, where $0 < k < n$",
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{
"id": 975194289644662800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 20:33:56",
"content": "**Disorganized**",
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"timestamp": "05/14/2022 20:34:35",
"content": "$\\sum_{k=1}^{n-1} {\\binom{n}{k} \\binom{n-1}{k-1}} = \\binom{2(n-1)}{(n-1)}$, where $0 < k < n$",
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{
"id": 975194463699894300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 20:34:38",
"content": "**Disorganized**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/975194463796359278/598041720583618605.png",
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"id": 975194520826282100,
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"author_name": "Benjamin",
"timestamp": "05/14/2022 20:34:52",
"content": "to me it looks like its linked to pascal's triangle rule",
"attachments": [],
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"id": 975194531404341200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:34:54",
"content": "...and now suddenly this looks less familiar",
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},
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"id": 975194559149654000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:35:01",
"content": "well yeah, binomials are",
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"author_id": 166861640178991100,
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"timestamp": "05/14/2022 20:35:11",
"content": "no but how i would prove it",
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{
"id": 975194604850806800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:35:12",
"content": "I tried to draw a picture of one case just now",
"attachments": [],
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},
{
"id": 975194655253733500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:35:24",
"content": "I thought I did this before in Combinatorics",
"attachments": [],
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},
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"id": 975194691207311500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:35:32",
"content": "but RHS doesn't look familiar anymore",
"attachments": [],
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},
{
"id": 975195993052151900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:40:43",
"content": "This is the problem this is from",
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"id": 975195998563496000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:40:44",
"content": "https://discord.com/channels/268882317391429632/409580489888759810/975182226331430952",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 20:42:58",
"content": "I dont know much about combinatorics, but wa gives me this",
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"id": 975196635590180900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:43:16",
"content": "change n to n-1",
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},
{
"id": 975196654615556100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:43:20",
"content": "in the sum",
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"id": 975196698328592400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:43:31",
"content": "good idea, btw",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 20:43:36",
"content": "ah interesting",
"attachments": [],
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"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:43:37",
"content": "please link me",
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},
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"id": 975196736811319300,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 20:43:40",
"content": "",
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"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 20:43:44",
"content": "https://www.wolframalpha.com/input?i2d=true&i=Sum%5B%5C%2840%29n+choose+k%5C%2841%29%5C%2840%29%5C%2840%29n-1%5C%2841%29+choose+%5C%2840%29k-1%5C%2841%29%5C%2841%29%2C%7Bk%2C1%2Cn-1%7D%5D",
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{
"id": 975197327981690900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:46:01",
"content": "yikes. That aint it",
"attachments": [],
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},
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"id": 975197340568797200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:46:04",
"content": "hmm",
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},
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"id": 975197353252364300,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "05/14/2022 20:46:07",
"content": "its close, though",
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},
{
"id": 975197396919287800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:46:17",
"content": "somethings wrong on my end I guess",
"attachments": [],
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"reference": null
},
{
"id": 975197420537405400,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/14/2022 20:46:23",
"content": "this looks Catalan numbers adjacent",
"attachments": [],
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},
{
"id": 975197425872560100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 20:46:24",
"content": "but it worked out for this problem",
"attachments": [],
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},
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"id": 975201201417236500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 21:01:24",
"content": "@Disorganized Has your question been resolved?",
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"id": 975201978072309800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 21:04:29",
"content": "https://www.wolframalpha.com/input?i2d=true&i=Sum%5B%5C%2840%29n+choose+k%5C%2841%29%5C%2840%29%5C%2840%29n-2%5C%2841%29+choose+%5C%2840%29k-1%5C%2841%29%5C%2841%29%2C%7Bk%2C1%2Cn-1%7D%5D%5C%2844%29+n%3D7",
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"id": 975202421036970100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 21:06:15",
"content": "when n=7, we get the sum from the problem I linked to",
"attachments": [],
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},
{
"id": 975202478272438400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 21:06:29",
"content": "WA doesn't come up with RHS though",
"attachments": [],
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},
{
"id": 975203635921317900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 21:11:05",
"content": "$\\sum_{k=1}^{n-1} {\\binom{n}{k} \\binom{n-2}{k-1}} = \\binom{2(n-1)}{(n-1)}$, where $0 < k < n$",
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"id": 975205828187537500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/14/2022 21:19:47",
"content": "**Disorganized**",
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"id": 975205867081318400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/14/2022 21:19:57",
"content": ".close",
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},
{
"id": 975205868981338200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 21:19:57",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
e69b9787a8a14f52aaf58930219ba531
|
199,951 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/14/2022 21:45:44",
"content": "Available help channel!",
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"reference": null
},
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"id": 975226571789049900,
"author_id": 597823207852081200,
"author_name": "Awuita Fria",
"timestamp": "05/14/2022 22:42:13",
"content": "What do you guys think of the demo?",
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"timestamp": "05/14/2022 22:42:14",
"content": "Pinned a message.",
"attachments": [],
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"id": 975229662739435500,
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"author_name": "Swastik",
"timestamp": "05/14/2022 22:54:30",
"content": "could you translate this?",
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"timestamp": "05/14/2022 23:01:06",
"content": "oki,moment",
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"timestamp": "05/14/2022 23:02:56",
"content": "For all x belonging to Z, there exists y that Z such that x+y=0\n\nThe element y of property (4) is called the opposite and is denoted (-x). \n\nWe usually write x-y instead of x+(-y)",
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"author_name": "Awuita Fria",
"timestamp": "05/14/2022 23:11:18",
"content": ":sad: :sad: :sad: :sad:",
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"author_id": 805217272087838700,
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"timestamp": "05/14/2022 23:26:19",
"content": "@Awuita Fria Has your question been resolved?",
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"timestamp": "05/14/2022 23:41:19",
"content": "Channel closed",
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}
] |
help-9
|
3d618845004d488ead348385b51c68f3
|
199,952 |
[
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"author_id": 805217272087838700,
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"timestamp": "05/14/2022 23:42:19",
"content": "Available help channel!",
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},
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"content": "",
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"timestamp": "05/14/2022 23:52:14",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "05/15/2022 00:07:13",
"content": "@Benjamin Has your question been resolved?",
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"id": 975248063927050200,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:07:37",
"content": "you are looking for bezout's identity",
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"id": 975248112299937800,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:07:49",
"content": "oh actually",
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},
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"id": 975248139298689000,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:07:55",
"content": "this is a question about numerical semigroups",
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{
"id": 975248207795851300,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:08:11",
"content": "i love semigroups 🙂",
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},
{
"id": 975249173505007700,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/15/2022 00:12:02",
"content": "ty i'm looking it up",
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},
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"id": 975249667132637200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/15/2022 00:13:59",
"content": "i'm leaving this up for a little while in case someone is particularly knowledgeable about this (and willing to explain it ) but i doubt it",
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"id": 975249737991205000,
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"author_name": "JamesH",
"timestamp": "05/15/2022 00:14:16",
"content": "i mean",
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},
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"id": 975249880295563300,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:14:50",
"content": "i can definitely help",
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},
{
"id": 975249989884346400,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "05/15/2022 00:15:16",
"content": "https://discord.com/channels/268882317391429632/903481106819612714/975223171651350529 tbf it came from this and i tried to generalize",
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"id": 975250175461314600,
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"author_name": "JamesH",
"timestamp": "05/15/2022 00:16:01",
"content": "that number $m_0$ is called the frobenius number",
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"id": 975250185083044000,
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"timestamp": "05/15/2022 00:16:03",
"content": "**JamesH**",
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"author_name": "JamesH",
"timestamp": "05/15/2022 00:16:29",
"content": "imagine that i have the semigroup $\\langle 3,7 \\rangle$",
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"id": 975250304213848000,
"author_id": 510789298321096700,
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"timestamp": "05/15/2022 00:16:31",
"content": "**JamesH**",
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"author_name": "JamesH",
"timestamp": "05/15/2022 00:17:55",
"content": "this semigroup is defined $$\\langle 3,7 \\rangle = \\{n \\in \\mathbb{Z} \\mid \\exists x,y \\in \\mathbb{Z}_{\\ge0}, 3x + 7y = n\\}$$",
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"id": 975250732531990500,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:18:13",
"content": "damn i am so used to my tex editor short cuts",
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"id": 975250776974819500,
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"author_name": "Benjamin",
"timestamp": "05/15/2022 00:18:24",
"content": "right",
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"timestamp": "05/15/2022 00:18:31",
"content": "**JamesH**",
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"id": 975250857434185700,
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"timestamp": "05/15/2022 00:18:43",
"content": "since gcd(3,7) = 1,",
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"id": 975251115971084300,
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"author_name": "JamesH",
"timestamp": "05/15/2022 00:19:45",
"content": "well actually",
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"id": 975251144555257900,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:19:52",
"content": "it may be better illustrated like this",
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"id": 975251182882791400,
"author_id": 473405391167029250,
"author_name": "JamesH",
"timestamp": "05/15/2022 00:20:01",
"content": "we fix the smallest generator (3) in this case",
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"id": 975251275631427600,
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"timestamp": "05/15/2022 00:20:23",
"content": "and we start looking at stuff modulo 3",
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"timestamp": "05/15/2022 00:22:14",
"content": "Channel closed",
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}
] |
help-9
|
0e5d29d6fe6440b1b425d0bf6a001951
|
199,953 |
[
{
"id": 1032747934091067500,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:11:35",
"content": "Btw sir",
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},
{
"id": 1032748037493239900,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:11:59",
"content": "Could this problem be solved by using some of the tests?",
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},
{
"id": 1032748093575282800,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:12:13",
"content": "Or its pure discussion like this?",
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},
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"id": 1032748102983090200,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:12:15",
"content": "@Sup?",
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"id": 241927037135224830,
"name": "Sup?",
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},
{
"id": 1032748448405016600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:13:37",
"content": "We did use tests",
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},
{
"id": 1032748474820739100,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:13:43",
"content": "Comparison tests",
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},
{
"id": 1032748496773730300,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:13:49",
"content": "The first one?",
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},
{
"id": 1032748535722016900,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:13:58",
"content": "First one is a known inequality for ln",
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},
{
"id": 1032748576473874400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:14:08",
"content": "other than that, everything I did was comparison test",
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},
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"id": 1032748734020333600,
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"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:14:45",
"content": "I got it",
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"author_name": "Sup?",
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"content": ".",
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},
{
"id": 1032748863322341400,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:15:16",
"content": "This is also the first comparison test?",
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"timestamp": "10/20/2022 16:15:18",
"content": "well",
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},
{
"id": 1032748943827812500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:15:35",
"content": "Well actually we just used the comparison test once and it was at the last moment.",
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"id": 1032748967668232200,
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"timestamp": "10/20/2022 16:15:41",
"content": ".",
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{
"id": 1032748992037138600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:15:47",
"content": "Everything else is just working with inequalities",
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"id": 1032749064678277100,
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"timestamp": "10/20/2022 16:16:04",
"content": "No this is just working with inequalities",
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"timestamp": "10/20/2022 16:16:11",
"content": "Kk",
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 18:16:12",
"content": "@𝙅𝙤𝙝𝙣𝙣𝙮 Has your question been resolved?",
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"timestamp": "10/20/2022 20:16:12",
"content": "Channel closed",
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}
] |
help-9
|
8381d6d53b2f4975b9f227a6648b740a
|
199,954 |
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"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 00:40:45",
"content": "Available help channel!",
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"timestamp": "10/21/2022 00:42:21",
"content": "for a i wrote m/36 hours",
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"timestamp": "10/21/2022 00:48:07",
"content": "also peer is a typo",
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"timestamp": "10/21/2022 00:48:11",
"content": "it’s meant to say peel",
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"timestamp": "10/21/2022 01:03:11",
"content": "@ankeitnambiar Has your question been resolved?",
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"timestamp": "10/21/2022 01:03:26",
"content": "nah cuh",
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"timestamp": "10/21/2022 01:03:29",
"content": "not yet",
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"content": "all g tho",
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"timestamp": "10/21/2022 01:06:53",
"content": "Still there?",
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"timestamp": "10/21/2022 01:06:59",
"content": "hi",
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"id": 1032882753160614000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:07:18",
"content": "Halo",
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},
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"id": 1032882964767453200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:08:08",
"content": "So you need help with part a?",
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"timestamp": "10/21/2022 01:08:17",
"content": "i finished part a",
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"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:08:29",
"content": "part c is causing me confusion",
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"id": 1032883051690201100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:08:29",
"content": "U sureeeeeeee?",
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},
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"id": 1032883069260136400,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:08:33",
"content": "did i get it wrong",
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},
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"id": 1032883072892407800,
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"timestamp": "10/21/2022 01:08:34",
"content": "lmao",
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"timestamp": "10/21/2022 01:08:44",
"content": "m/36 was my answer",
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"timestamp": "10/21/2022 01:08:58",
"content": "because p=m",
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"id": 1032883175489282200,
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"timestamp": "10/21/2022 01:08:59",
"content": "then",
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"timestamp": "10/21/2022 01:09:13",
"content": "i multiplied both sides by 2",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:09:18",
"content": "Mhm",
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},
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"id": 1032883263133450200,
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"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:09:19",
"content": "because teh 2 potatoes",
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},
{
"id": 1032883294892732400,
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"timestamp": "10/21/2022 01:09:27",
"content": "and then we have 2p=2m",
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{
"id": 1032883314882789400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:09:32",
"content": "Ok so far so good",
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},
{
"id": 1032883334541484000,
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"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:09:36",
"content": "but the answer needs to be in hours",
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{
"id": 1032883363675119600,
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"timestamp": "10/21/2022 01:09:43",
"content": "the 2m represents minutes",
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"id": 1032883378506190800,
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:09:47",
"content": "Yup",
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{
"id": 1032883391814701000,
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"timestamp": "10/21/2022 01:09:50",
"content": "so i divided by 60",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:10:06",
"content": "Which is not quite 1/36",
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},
{
"id": 1032883518033903600,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:20",
"content": "divide the top and bottom by 2?",
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{
"id": 1032883547079446500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:10:27",
"content": "2/60 maybe not equal to 1/36",
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},
{
"id": 1032883550548131800,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:28",
"content": "oh",
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},
{
"id": 1032883562371878900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:31",
"content": "im stupid",
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},
{
"id": 1032883567220498400,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:32",
"content": "lmao",
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},
{
"id": 1032883571821645800,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:33",
"content": "thanks",
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},
{
"id": 1032883587713871900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:10:37",
"content": "Np bro",
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},
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"id": 1032883595402018800,
"author_id": 734907824425009300,
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"timestamp": "10/21/2022 01:10:39",
"content": "30",
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},
{
"id": 1032883636183244800,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:48",
"content": "thank you",
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},
{
"id": 1032883641736503300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:10:50",
"content": "lmao",
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},
{
"id": 1032883662183743600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:10:55",
"content": "Aight np np",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:10:57",
"content": "Now onto part c",
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},
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"timestamp": "10/21/2022 01:11:10",
"content": "part b i assumed was the same process",
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"timestamp": "10/21/2022 01:11:16",
"content": "so that was just to",
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"id": 1032883758031982600,
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"timestamp": "10/21/2022 01:11:17",
"content": "tm",
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},
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"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:11:20",
"content": "but part c",
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},
{
"id": 1032883860356218900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:11:42",
"content": "i considered multiplying the p by 6",
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"timestamp": "10/21/2022 01:11:43",
"content": "60",
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},
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"id": 1032883905633718300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:11:53",
"content": "to achieve an answer representative in hours",
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},
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"id": 1032883925921566700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:11:57",
"content": "I see",
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},
{
"id": 1032883979361189900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:12:10",
"content": "Wait that’s right tho",
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},
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"id": 1032884021279080400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:12:20",
"content": "60p IS equal to 1 hour",
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},
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"id": 1032884070176268300,
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"timestamp": "10/21/2022 01:12:32",
"content": "the question isnt asking for an hour tho",
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"timestamp": "10/21/2022 01:12:38",
"content": "it generalized horus",
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"timestamp": "10/21/2022 01:12:42",
"content": "i think",
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"timestamp": "10/21/2022 01:12:45",
"content": "im prolly wrong lmao",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:12:58",
"content": "So there’s a variable t? Multiply both sides of equation by t",
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"id": 1032884236799184900,
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:13:12",
"content": "That’s how u massage in the variable t",
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"timestamp": "10/21/2022 01:13:19",
"content": "for part c>",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:13:33",
"content": "60potatoes t = t hours",
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},
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"id": 1032884363903373300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:13:42",
"content": "ohh",
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},
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"id": 1032884433323307000,
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:13:58",
"content": "Wait my bad 60 potatoes h = h hours",
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},
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"id": 1032884645467017200,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:14:49",
"content": "wait so when i start off with the original equation p=m",
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},
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"id": 1032884667076051100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:14:54",
"content": "Yup",
"attachments": [],
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},
{
"id": 1032884697593819100,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:15:01",
"content": "do i just divide m by 60",
"attachments": [],
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},
{
"id": 1032884740212138100,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:15:12",
"content": "and say its in hours",
"attachments": [],
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},
{
"id": 1032884829823451100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:15:33",
"content": "P/60 = 1 hour? Waittttttttt",
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},
{
"id": 1032884965089751200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:16:05",
"content": "Dividing minutes by 60 won’t work",
"attachments": [],
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"reference": null
},
{
"id": 1032884981082619900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:16:09",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032885298981515400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:17:25",
"content": "",
"attachments": [
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"id": 1032885317428072400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:17:29",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032885323283308500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/21/2022 01:17:31",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1032885323388158032/408720262368854037.png",
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{
"id": 1032885469148631000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:18:05",
"content": "I just multiplied by a very fancy 1, cuz after all, 1 hour IS equal to 60 minutes",
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},
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"id": 1032885709197037700,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:19:03",
"content": "so you converted h minutes in to h hours",
"attachments": [],
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},
{
"id": 1032885711680049300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:19:03",
"content": "ok",
"attachments": [],
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},
{
"id": 1032885717866643500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:19:05",
"content": "makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032885765732061300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:19:16",
"content": "dimensional analysis",
"attachments": [],
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},
{
"id": 1032885825073057800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:19:30",
"content": "Yeaaaa I wasn’t sure if u covered that or not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032885965129261000,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:04",
"content": "the problem with my math class is it uses a harkness based learning style",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032885996167110700,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:11",
"content": "so the teacher never actually teaches the concepts",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886013053378600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:20:15",
"content": "Dang",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886014412341400,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:15",
"content": "and we have to learn it on our own",
"attachments": [],
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"reference": null
},
{
"id": 1032886059824074900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:20:26",
"content": "Smh USA education system",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886150911762600,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:48",
"content": "so i have h/60 hours",
"attachments": [],
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},
{
"id": 1032886151025008600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:20:48",
"content": "But systems are by definition hard to change",
"attachments": [],
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"reference": null
},
{
"id": 1032886176178245600,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:54",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886188178165800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:20:57",
"content": "Close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886195342037000,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:20:59",
"content": "most schools arent like mine tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886198361927800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:20:59",
"content": "Very close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886257023463400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:21:13",
"content": "M/60 hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886307871010800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:21:25",
"content": "Cuz each minute is worth 1/60 of an hour",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886326892187800,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:21:30",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886356642381800,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:21:37",
"content": "wait in ur image does it say h",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886475773198300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:22:05",
"content": "The first letter is x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886497759735800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:22:11",
"content": "X minutes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886594098712600,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:22:34",
"content": "oh so x/60 hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886616521441300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:22:39",
"content": "but you just used x instead of m",
"attachments": [],
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"reference": null
},
{
"id": 1032886631486738400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:22:43",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886732724654100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:23:07",
"content": "If u want concepts I suggest 3blue1brown, very intuition based mathtuber",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886811120390100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:23:25",
"content": "Worked with khan academy for an entire multi variable calc course",
"attachments": [],
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"reference": null
},
{
"id": 1032886840518267000,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:23:32",
"content": "dam",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886905181843500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:23:48",
"content": "wait so once i have m/60 hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886920184868900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:23:51",
"content": "And made an entire video series on “the essence of calculus” which is intuition heavy and it’s focus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886954443935900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:24:00",
"content": "the essence of calculus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886957501587600,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:24:00",
"content": "lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886958759887000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:24:01",
"content": "Yes p = m/60 hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886985922195500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:24:07",
"content": "is that the final answer?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032886995183226900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:24:09",
"content": "oh dam",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887115001905200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:24:38",
"content": "Wait I feel like I missed something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887436965064700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:25:55",
"content": "60p = x hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887512995217500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:26:13",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887521425772500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:26:15",
"content": "that makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887584319361000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:26:30",
"content": "I think what happened was that m used to represent minutes, but now it represent hours now that we introduced 60 into the equation",
"attachments": [],
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},
{
"id": 1032887645199671300,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:26:44",
"content": "so should i say 60p=m hours",
"attachments": [],
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"reference": null
},
{
"id": 1032887653667975200,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:26:46",
"content": "or x",
"attachments": [],
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"reference": null
},
{
"id": 1032887661238689900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:26:48",
"content": "hours",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032887707682222200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:26:59",
"content": "Aight u all set?",
"attachments": [],
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"reference": null
},
{
"id": 1032887889752764500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:27:43",
"content": "wait did you agre with my logic for b",
"attachments": [],
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"reference": null
},
{
"id": 1032887916223017000,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:27:49",
"content": "saying it’s tm",
"attachments": [],
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"reference": null
},
{
"id": 1032887949093765200,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:27:57",
"content": "since tp",
"attachments": [],
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"reference": null
},
{
"id": 1032888092723531800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:28:31",
"content": "Yeah makes sense",
"attachments": [],
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"reference": null
},
{
"id": 1032888100495573000,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:33",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 1032888103309955100,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:33",
"content": "btw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888120271720400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:28:38",
"content": "Yuh",
"attachments": [],
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"reference": null
},
{
"id": 1032888124155637900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:38",
"content": "thanks so much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888133433434100,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:41",
"content": "for the help",
"attachments": [],
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"reference": null
},
{
"id": 1032888139112517600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:28:42",
"content": "Nppppppp",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888149686353900,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:45",
"content": "i really appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888160205684700,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:47",
"content": "have a great night",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888169022099500,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:49",
"content": "or day",
"attachments": [],
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"reference": null
},
{
"id": 1032888177335214100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:28:51",
"content": "I’m glad u appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888182263521400,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:28:52",
"content": "lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032888207605514400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:28:58",
"content": ":catthumbsup:",
"attachments": [],
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},
{
"id": 1032888213192327200,
"author_id": 734907824425009300,
"author_name": "ankeitnambiar",
"timestamp": "10/21/2022 01:29:00",
"content": "gn",
"attachments": [],
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},
{
"id": 1032888284524843100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:29:17",
"content": "Make sure to .close",
"attachments": [],
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"reference": null
},
{
"id": 1032888344557924400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/21/2022 01:29:31",
"content": "Baeyyyyy",
"attachments": [],
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"reference": null
},
{
"id": 1032888586472783900,
"author_id": 492759504392290300,
"author_name": "Estebson",
"timestamp": "10/21/2022 01:30:29",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1032888589316522100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 01:30:29",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
2f2b571ae5b449a7bfc1dac77cd776ef
|
199,955 |
[
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"timestamp": "10/25/2022 03:10:08",
"content": "Available help channel!",
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"id": 1034368269903220700,
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"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 03:30:13",
"content": "Pinned a message.",
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"id": 1034368299892494300,
"author_id": 218993342707400700,
"author_name": "Heptix",
"timestamp": "10/25/2022 03:30:20",
"content": "through what transformation",
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},
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"id": 1034368879683715200,
"author_id": 477592722715443200,
"author_name": "marejak023",
"timestamp": "10/25/2022 03:32:38",
"content": "something like linear regression?",
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"author_name": "marejak023",
"timestamp": "10/25/2022 03:33:05",
"content": "but i dont think that you can linearize such data",
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"author_name": "Heptix",
"timestamp": "10/25/2022 03:33:22",
"content": "well im trying to perform linear regression",
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"id": 1034369107493126100,
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"author_name": "Heptix",
"timestamp": "10/25/2022 03:33:32",
"content": "but wanted to transform it first",
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"timestamp": "10/25/2022 03:34:53",
"content": "alright, mb",
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"content": "@Heptix Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
85086e4f9d564add9276264ea0928bb6
|
199,956 |
[
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"timestamp": "12/09/2022 04:58:47",
"content": "Available help channel!",
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},
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"id": 1050714135656136700,
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"timestamp": "12/09/2022 05:02:51",
"content": "How do you find the answer to c?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:13:35",
"content": "expand the function, or make a new equation, that also considers the profit per hat sold",
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"timestamp": "12/09/2022 05:13:48",
"content": "you also need such one for b)",
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"timestamp": "12/09/2022 05:18:49",
"content": "@LittleBlueChick Has your question been resolved?",
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"author_name": "LittleBlueChick",
"timestamp": "12/09/2022 05:19:00",
"content": "Alrighty, so what would that equation look like? Because the website suggested to find the difference between the selling price of the hats with the price to make the hats, then use it in the equation... So that new equation would be 3000+0.61x over x?",
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"timestamp": "12/09/2022 05:21:25",
"content": "yes",
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"timestamp": "12/09/2022 05:21:41",
"content": "call it P(x) because its the profit per hat",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:21:45",
"content": "unlike just the cost per hat",
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"timestamp": "12/09/2022 05:22:14",
"content": "how did you get b) without that?\nsince there I think you want to find y=0",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:22:20",
"content": "for P(x)",
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"author_name": "LittleBlueChick",
"timestamp": "12/09/2022 05:23:22",
"content": "Uhhhh, I was messing around with a graph on Desmos, and I think the price for the making of hats happened to line up on the graph with that answer",
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"timestamp": "12/09/2022 05:23:27",
"content": "also I think its 0.61x-3000",
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"author_name": "LittleBlueChick",
"timestamp": "12/09/2022 05:24:24",
"content": "Oh, is the subtraction of 3000 represent the loss of that amount of money per week? And would the equation still be over x?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:24:54",
"content": "no, the over x is for the average per hat",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:25:55",
"content": "$f(x)=\\frac{3000+2.36x}{x}$ basically means\\\\\nget the cost every week\\\\\nthen average it over the amount of hats",
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"timestamp": "12/09/2022 05:25:57",
"content": "**Jigglyproff**",
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"timestamp": "12/09/2022 05:27:38",
"content": "Ok... So the new equation, P(x), should not be put over x because it's an exact price instead of an average over the amount of hats?",
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"timestamp": "12/09/2022 05:28:16",
"content": "I mean why would you get the average",
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"timestamp": "12/09/2022 05:28:33",
"content": "you want to get Profit depending on hats",
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"id": 1050720613850939400,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:28:35",
"content": "where hats is x",
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"id": 1050720693597257700,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 05:28:54",
"content": "sure, you could get the average profit, but that doesn't help you solve",
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"author_name": "LittleBlueChick",
"timestamp": "12/09/2022 05:28:55",
"content": "And... For part c, would you set \"P(x)\" equal to 1000? Just double checking",
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"timestamp": "12/09/2022 05:29:09",
"content": "Ohhh ok, makes sense",
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"timestamp": "12/09/2022 05:29:12",
"content": "yes, if P(x)=y, then y would be 1000",
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"timestamp": "12/09/2022 05:29:35",
"content": "Alrighty... Thanks sm!! That honestly helped me out a ton :)",
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"timestamp": "12/09/2022 05:42:14",
"content": ".close",
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] |
help-9
|
8f834a8c42eb444b850986e80627cb95
|
199,957 |
[
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"timestamp": "12/09/2022 05:59:39",
"content": "how do you solve this kind of problems",
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{
"id": 1050728728352796700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 06:00:50",
"content": "Write in parametric vector form @Crazy_H",
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"timestamp": "12/09/2022 06:01:50",
"content": "Is it called parametric vector form? Nevermind. But have it as a*\\[vector] + b*\\[vector] + c*\\[vector] if that makes sense",
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"content": "something like this?",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 06:04:31",
"content": "Ye more or less",
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"content": "@Crazy_H Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
414a8fed338d4fef98596c1fa5c884b5
|
199,958 |
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"content": "Available help channel!",
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"author_name": "DinVin95",
"timestamp": "12/09/2022 06:54:47",
"content": "Can anyone teach me how to find the range of sqrt(x+4)/sqrt(x+3)?",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 06:56:37",
"content": "First, identify the domain",
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"author_name": "♡A(lex)♡",
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"content": "What is the domain",
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"id": 1050742808434180200,
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"content": "(-3, inf)",
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"timestamp": "12/09/2022 06:57:58",
"content": "Right, the range is just the output from the input values (the domain)",
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"id": 1050743159342252000,
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"timestamp": "12/09/2022 06:58:11",
"content": "But I don’t know how to find them",
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"id": 1050743178925461500,
"author_id": 639774631531774000,
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"timestamp": "12/09/2022 06:58:15",
"content": "Do I put -3 as x",
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"timestamp": "12/09/2022 06:59:10",
"content": "Just think of it logically, when you have something very close to -3",
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"content": "But if I put inf as x I don’t know how to find",
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"content": "like -2.99999?",
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"timestamp": "12/09/2022 06:59:35",
"content": "Sure! If you have a very small Denominator, what does that mean?",
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"content": "it goes to infinity",
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"timestamp": "12/09/2022 06:59:51",
"content": "Because that's just sqrt(0.000001) or something",
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"content": "Yes. You have a very large number",
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"timestamp": "12/09/2022 07:00:09",
"content": "but what about the smaller one?",
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"timestamp": "12/09/2022 07:00:15",
"content": "if I put 1000000",
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"timestamp": "12/09/2022 07:00:23",
"content": "it will approach to 1",
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"timestamp": "12/09/2022 07:00:55",
"content": "Yeah",
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"timestamp": "12/09/2022 07:01:32",
"content": "But in my worksheet it says sqrt((x+2)/(x+3)) can approach infinity",
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"timestamp": "12/09/2022 07:01:57",
"content": "Also think of it this way, sqrt(x+4) is more or less the same as sqrt(x+3) when taken to infinity",
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"timestamp": "12/09/2022 07:02:08",
"content": "more",
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"timestamp": "12/09/2022 07:02:17",
"content": "so (0,inf) except 1",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 07:03:29",
"content": "I'm confused by what you are trying to say :thinkies: you kind of switched completely between two different things",
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"content": "sqrt(x+4) is more than sqrt(x+3) when taken to inf",
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"timestamp": "12/09/2022 07:04:58",
"content": "oh wait",
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"timestamp": "12/09/2022 07:05:01",
"content": "I understand now",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 07:05:03",
"content": "Well when you have something very huge like sqrt(1000000000000+4)/sqrt(1000000000000+3), the +1 difference is very negligible",
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"timestamp": "12/09/2022 07:05:14",
"content": "so the range is (0,1)",
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"timestamp": "12/09/2022 07:05:34",
"content": "wait….",
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"author_name": "DinVin95",
"timestamp": "12/09/2022 07:05:42",
"content": "I’m tripping out",
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"timestamp": "12/09/2022 07:06:00",
"content": "(1,inf) right",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 07:07:29",
"content": "Yeah u got it",
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"author_name": "DinVin95",
"timestamp": "12/09/2022 07:08:00",
"content": "Thanks",
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"id": 1050745663505322000,
"author_id": 639774631531774000,
"author_name": "DinVin95",
"timestamp": "12/09/2022 07:08:08",
"content": "so it’s just a concept of limit",
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"timestamp": "12/09/2022 07:08:19",
"content": "TYSM",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 07:08:45",
"content": "Yeah limits help u visualise it better",
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"author_name": "♡A(lex)♡",
"timestamp": "12/09/2022 07:08:48",
"content": "And no worries",
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"timestamp": "12/09/2022 07:18:39",
"content": "Can anyone help me this now..?",
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"author_name": "DinVin95",
"timestamp": "12/09/2022 07:18:47",
"content": "I don’t know what does the question mean in q4b",
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"timestamp": "12/09/2022 07:21:14",
"content": "@Helpers",
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"id": 1050749451402235900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "12/09/2022 07:23:11",
"content": "what was your result from (a)",
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"timestamp": "12/09/2022 07:24:44",
"content": "It is true",
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"content": "I just prove by x>a, x=a and x<a",
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"timestamp": "12/09/2022 07:33:22",
"content": "So can anyone help me with 4b? I don’t understand what is it asking",
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"timestamp": "12/09/2022 07:48:23",
"content": "@DinVin95 Has your question been resolved?",
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] |
help-9
|
82a58cad60164cfc83ec03747eafc1d6
|
199,959 |
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"content": "Available help channel!",
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help-9
|
207b6fdf3884490fa609a9655b1b372a
|
199,960 |
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"author_name": "chartbit",
"timestamp": "12/09/2022 08:09:07",
"content": "Try translating the result in part (a), as in $f(x) \\mapsto f(x) + b$ for some real constant $b$",
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"id": 1050761022803292300,
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"content": "**chartbit**",
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"timestamp": "12/09/2022 08:09:37",
"content": "I don’t know how to split the taxi function",
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"id": 1050761601919242400,
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"author_name": "chartbit",
"timestamp": "12/09/2022 08:11:28",
"content": "Hmm, try first ignoring the third section, and pretending it doesn't exist...",
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"id": 1050761653098139800,
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"content": "Would you be able to solve it then?",
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"id": 1050761683351654400,
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"content": "The 6.5x+35 part?",
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"timestamp": "12/09/2022 08:12:41",
"content": "Yea, that's an idea that might help",
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"timestamp": "12/09/2022 08:13:06",
"content": "I never learnt to break a piecewise function",
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"content": "I believe you can combine graph transformations to convert $f(x)$ to the form we'd then have(?)",
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"content": "**chartbit**",
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"timestamp": "12/09/2022 08:13:59",
"content": "I think I can’t…",
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"timestamp": "12/09/2022 08:14:08",
"content": "I suck at functions,",
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"timestamp": "12/09/2022 08:14:18",
"content": "And I’m learning it for fun only",
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"content": "It is taught at g10",
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"content": "Available help channel!",
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"timestamp": "12/09/2022 08:25:43",
"content": "i have to find the count for the triples and i need to prove it. \n\ni have an idea of the count, which is (n)(1) + (n-1)(2) + ... + (1)(n). But i have no idea on how to prove that. for reference, i got that count by working at n as 1,2,3, and 4",
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"content": "@Fluffy Has your question been resolved?",
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"content": "@Fluffy Has your question been resolved?",
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"timestamp": "12/09/2022 10:37:11",
"content": "@Helpers",
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"timestamp": "12/09/2022 11:13:22",
"content": "I think you should just be able to do nC1+nC2+nC3, since you can always find a possible ordering such that the 3 numbers chosen fulfill the conditions. The choose 1 and choose 2 counts for the possible duplicates, where i=j, or i=j=k",
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"content": "@Fluffy Has your question been resolved?",
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"timestamp": "12/09/2022 14:37:12",
"content": "Channel closed",
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] |
help-9
|
ccc01bd9576743fea2a6c065fb736626
|
199,961 |
[
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"timestamp": "12/09/2022 14:40:56",
"content": "Available help channel!",
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},
{
"id": 1050867762630770800,
"author_id": 692635975678951400,
"author_name": "Michal",
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"content": "Pinned a message.",
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"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "12/09/2022 15:13:29",
"content": "can anybody help me with dynamic programming?",
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"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "12/09/2022 15:13:40",
"content": "i just want to make recursive version first",
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{
"id": 1050867904624738400,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "12/09/2022 15:13:52",
"content": "but im really struggling with it",
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},
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"id": 1050869122516406300,
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"author_name": "riemann",
"timestamp": "12/09/2022 15:18:43",
"content": "#network for cs server",
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"timestamp": "12/09/2022 15:19:19",
"content": "i have tried, but i didnt get any help",
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"timestamp": "12/09/2022 15:19:30",
"content": "how long did you wait",
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"content": "half hour",
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"timestamp": "12/09/2022 15:24:57",
"content": "now im getting some responses",
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"timestamp": "12/09/2022 15:39:58",
"content": "@Michal Has your question been resolved?",
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] |
help-9
|
f93abd068fac4ebbb4c611aae007b1c4
|
199,962 |
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"timestamp": "12/09/2022 16:24:06",
"content": "Available help channel!",
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"id": 1050887037043101800,
"author_id": 239843309206503420,
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"timestamp": "12/09/2022 16:29:54",
"content": "I need help understanding how to do each of the sub sections",
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"timestamp": "12/09/2022 16:30:28",
"content": "I don't know exactly how to do a, b, c, or d",
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"timestamp": "12/09/2022 16:32:29",
"content": "what kind of field is this in?\nDo you currently learn about vectors by chance?",
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"timestamp": "12/09/2022 16:45:28",
"content": "@Pirate Has your question been resolved?",
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"timestamp": "12/09/2022 16:54:01",
"content": "Yes I have learned about vectors",
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"author_name": "Pirate",
"timestamp": "12/09/2022 16:55:48",
"content": "I believe they intersect, and I know to find if they R1 and r2, i don't know what to do from there",
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"timestamp": "12/09/2022 16:57:11",
"content": "thats as far as I have gotten",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:12:25",
"content": "are you confident with vectors?\nif so, you could try writing the motions as vector combinations with the factors t and s",
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"timestamp": "12/09/2022 17:12:48",
"content": "then use those vectors to find the answers",
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"timestamp": "12/09/2022 17:13:44",
"content": "Hmm, I am not confident about it at all, and was hoping to be guided as to what to do",
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"timestamp": "12/09/2022 17:15:55",
"content": "I have what a class mate did in class as notes but I am not certain how they assertained to fill in certain things",
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"timestamp": "12/09/2022 17:16:13",
"content": "wait a sec",
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"timestamp": "12/09/2022 17:16:18",
"content": "appologies for it being side ways",
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"timestamp": "12/09/2022 17:16:39",
"content": ",rcw",
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"timestamp": "12/09/2022 17:17:51",
"content": "For the bottom they set ti vector to the si vector, and the substitute 6 for the s. I don't know where they got 6 from",
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"timestamp": "12/09/2022 17:18:28",
"content": "think you could rewrite the motion as something like that? does this look familiar?",
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"timestamp": "12/09/2022 17:18:42",
"content": "the second + is supposed be a t",
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"timestamp": "12/09/2022 17:18:55",
"content": "No that doesn't look familiar",
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"timestamp": "12/09/2022 17:18:59",
"content": "mhm alright",
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"timestamp": "12/09/2022 17:19:38",
"content": "so (a,b,c)t +(a2,b2,c2)+ s(a3,b3,c3)",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:19:50",
"content": "so the first set is x right?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:19:53",
"content": "so you have to do it analytically, for the first task, how would you know a function is linear?",
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"timestamp": "12/09/2022 17:19:59",
"content": "no",
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"timestamp": "12/09/2022 17:20:06",
"content": "its (x,y,z) in each vertice",
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"id": 1050899705095258200,
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"timestamp": "12/09/2022 17:20:14",
"content": "Ah",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:21:16",
"content": "so do you want to learn and do it using vectors?\nits a bit hard at first...\n\notherwise, you can use function theorems and geometry laws, thats doable with less knowledge, but more tedious in general",
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"timestamp": "12/09/2022 17:21:32",
"content": "learn and do it using vectors",
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"timestamp": "12/09/2022 17:21:36",
"content": "alright",
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"timestamp": "12/09/2022 17:21:58",
"content": "so, for the first motion, we can write it as",
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"timestamp": "12/09/2022 17:22:52",
"content": "This is because the vector is\nx\ny\nz",
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"timestamp": "12/09/2022 17:23:15",
"content": "you are basically spanning the line of the vector in 3d space, where the axis are x,y and z",
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"timestamp": "12/09/2022 17:24:17",
"content": "the t means that it doesn't just point to a single point, but it points to all points that are reachable with the equation, t being a real number",
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"timestamp": "12/09/2022 17:24:34",
"content": "now",
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"timestamp": "12/09/2022 17:25:25",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:25:37",
"content": "to be usable for combination and comparison, I need this form",
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},
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"id": 1050901124409995300,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:25:52",
"content": "think you could rewrite the first vector to become this form @Pirate ?",
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"timestamp": "12/09/2022 17:26:51",
"content": "also feel free to ask stuff you don't understand, I have time",
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"timestamp": "12/09/2022 17:30:42",
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"timestamp": "12/09/2022 17:30:55",
"content": "I assume the second () is using the second vector?",
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"timestamp": "12/09/2022 17:31:23",
"content": "nonono wait",
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"content": "you can just write it as",
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"content": "since variables are implicit here",
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"content": "now, can you do the same for the second function>",
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"content": "Oh, ok",
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"content": "also as a small hint for the future, you can shorten t(6,10,2) to t(3,5,1) because the scalar t will hit (6,10,2) when t = 2 anyway",
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"content": "yes? or it could be that^",
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"content": "the first line, why is there s",
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"content": "you were done there",
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"content": "rewrite this with the form I gave you",
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"content": "this is the second function, or second motion",
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"timestamp": "12/09/2022 17:40:48",
"content": "I looked at this and thought that would be something",
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"content": "no",
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"content": "we aren't solving the equation for something yet, so no need to mix the functions yet",
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"content": "just get the vector notations of the motions",
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"content": "we have L1, now do the same for L2",
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"content": "I don't know what you mean then. Is the second one I did in",
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"content": "in the second vector ignoring the top form",
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"content": "its wrong",
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"timestamp": "12/09/2022 17:44:03",
"content": "in your task you see that L2 has s and t",
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"timestamp": "12/09/2022 17:44:10",
"content": "but your vector has only s",
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"timestamp": "12/09/2022 17:44:29",
"content": "S was a typo by the teacher. I just got a reply about that",
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"timestamp": "12/09/2022 17:44:31",
"content": "this is L2 as a big vector",
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"timestamp": "12/09/2022 17:44:38",
"content": "ah that makes a lot more sense now",
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"timestamp": "12/09/2022 17:44:39",
"content": "alright",
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"timestamp": "12/09/2022 17:44:47",
"content": "yup lol",
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"content": "so is it all s or all t?\nI asssume all ss",
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"content": "all s",
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"timestamp": "12/09/2022 17:44:56",
"content": "then its correct what you did",
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"content": "second",
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"timestamp": "12/09/2022 17:46:20",
"content": "so this is our current status",
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"timestamp": "12/09/2022 17:46:52",
"content": "now, to find the parallelism, how would a normal function have to behave?",
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"content": "aka",
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"content": "f(x)=2x\nf(x)=x\nwhy are they not parallel?",
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"timestamp": "12/09/2022 17:47:25",
"content": "because the change in x is different",
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"content": "yes",
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"timestamp": "12/09/2022 17:47:44",
"content": "in order for it to be || you neex x, x+1 this is ||",
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"timestamp": "12/09/2022 17:48:14",
"content": "so, if you were to think that L1 and L2 are just funny ways to write functions with vectors (which we got),\nhow would you apply the same concept to s and t?",
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"timestamp": "12/09/2022 17:48:47",
"content": "well I know that they intersent",
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"timestamp": "12/09/2022 17:49:13",
"content": "yes, but with just vector logic, how would you apply the marked message to the vectors?",
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"timestamp": "12/09/2022 17:49:21",
"content": "hmmm",
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"timestamp": "12/09/2022 17:49:42",
"content": "idk tbh I never had to think about it like that",
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"timestamp": "12/09/2022 17:49:57",
"content": "think it like\nL1=v1+v2\\*t\nL2=v3+v4\\*s\nwhere v are the vectors",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:50:20",
"content": "how would you check if L1 and L2 are parallel?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:50:26",
"content": "just like you did above for f(x)",
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"timestamp": "12/09/2022 17:51:10",
"content": "hmmm, I would see if the change of s is different than the change of t",
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"timestamp": "12/09/2022 17:51:28",
"content": "yes",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:51:58",
"content": "so what does that mean excatly?\nwe know that t(x)=2x is not parallel to f(x)=1x, because 1 and 2 are different",
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"timestamp": "12/09/2022 17:52:18",
"content": "what is that in\nL1=m(t)=v1+v2\\*t\nL2=n(s)=v3+v4\\*s",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:52:47",
"content": "hmmm, this is new notation to me seeing the v1, v2, v3, v4",
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"timestamp": "12/09/2022 17:53:00",
"content": "just thing of it as some kind of number for now",
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"timestamp": "12/09/2022 17:53:17",
"content": "or variable that represents a number",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:54:16",
"content": "hint:\nf(x)=m\\*x\nt(x)=n\\*x\nwhat must n and m be for t and f to be parallel?",
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"id": 1050908271864717300,
"author_id": 628449189730320400,
"author_name": "MeatBagFrank",
"timestamp": "12/09/2022 17:54:16",
"content": "https://tenor.com/view/griddy-gif-gif-25339935",
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"author_name": "MeatBagFrank",
"timestamp": "12/09/2022 17:54:37",
"content": "yall tryna run cod",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:55:02",
"content": "well there change of x need to be same and they need to be at differet points",
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"timestamp": "12/09/2022 17:55:09",
"content": "so n +1",
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"timestamp": "12/09/2022 17:55:15",
"content": "and m",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:55:30",
"content": "no difference in change of var and a diff in position",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:55:35",
"content": "are you sure?\nfor parallelism, n and m must be the same",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:55:40",
"content": "aka",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:56:07",
"content": "f(x)=4x is parallel to f(x)=2+4x because the multiplier is the same",
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"timestamp": "12/09/2022 17:56:30",
"content": "yes i am sure since that is pretty much what I meant xd",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:56:54",
"content": "now we have something like\nL1(t)=something + v2 \\* t\nL2(s)=something + v2 \\* s\nwhat are m and n here?",
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"timestamp": "12/09/2022 17:57:02",
"content": "our vectors?",
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"timestamp": "12/09/2022 17:57:07",
"content": "correct",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:57:10",
"content": "so",
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"id": 1050909017985261700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:57:14",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1050906248930938890/image.png",
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"id": 1050909055729807400,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:57:23",
"content": "here, how would you check for parallelism?",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:57:55",
"content": "so I would see the first one",
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"timestamp": "12/09/2022 17:58:10",
"content": "350 +6t = 350 + 6s?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:16",
"content": "nonono wait",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:20",
"content": "for parallellism",
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"id": 1050909312177938600,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:24",
"content": "we dont care about the konstant",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:32",
"content": "f(x)=mx+n",
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"id": 1050909354800451700,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:35",
"content": "we dont care about n",
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"id": 1050909432374104200,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 17:58:53",
"content": "oh",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:58:54",
"content": "I think you think too complicated",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:59:06",
"content": "just treat the vector as a multiplier of sorts",
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"timestamp": "12/09/2022 17:59:12",
"content": "hmm",
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"author_name": "Pirate",
"timestamp": "12/09/2022 17:59:23",
"content": "so 6s = 6t ?",
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"id": 1050909586527371300,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:59:30",
"content": "no",
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"id": 1050909609507958900,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:59:35",
"content": "you have to take the full vector",
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"id": 1050909675815702700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 17:59:51",
"content": "also, we dont care about s and t",
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"id": 1050909714638196700,
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"timestamp": "12/09/2022 18:00:00",
"content": "so\\",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:00:05",
"content": "like we did for f(x)=mx+n, we ONLY looked at m to find parallelism",
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"timestamp": "12/09/2022 18:00:37",
"content": "so m = s?",
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"id": 1050909898281582600,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:00:44",
"content": "no",
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"id": 1050909905428676700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:00:46",
"content": "s is the x",
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"id": 1050909987616071700,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:06",
"content": "its the vector",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:16",
"content": "(6,8,8) is the m",
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"timestamp": "12/09/2022 18:01:24",
"content": "i see",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:28",
"content": "so, whats the m for the other function?",
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"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:01:37",
"content": "(6,10,-2",
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"id": 1050910129802973200,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:39",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1050906248930938890/image.png",
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"timestamp": "12/09/2022 18:01:43",
"content": "correct",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:48",
"content": "so, are the parellel?",
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"timestamp": "12/09/2022 18:01:54",
"content": "no",
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"id": 1050910211126333400,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:01:59",
"content": "correct",
"attachments": [],
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"id": 1050910332916338700,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:02:28",
"content": "because, the vector with a scalar from the first motion is not the same as the vector with a scalar from the second motion",
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"id": 1050910367041212500,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:02:36",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1050887036648820898/unknown.png",
"attachments": [],
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{
"id": 1050910424733855700,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:02:50",
"content": "now, lets try to find out if the paths are perpendicular",
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"author_name": "Pirate",
"timestamp": "12/09/2022 18:03:08",
"content": "Ok, so we would need to look for if they intyeresct at a 90 degree",
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"id": 1050910524390514800,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:03:13",
"content": "yes",
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"id": 1050910639834529900,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:03:41",
"content": "in a normal function f(x)=mx+n, how would you check if its 90 degrees to t(x)=ax+b?",
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"timestamp": "12/09/2022 18:03:58",
"content": "I would see if the a's are opposite of each other",
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"id": 1050910754594881700,
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"author_name": "Pirate",
"timestamp": "12/09/2022 18:04:08",
"content": "right?",
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"id": 1050910776556273800,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:04:14",
"content": "I called them m and a here",
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"id": 1050910856382267500,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:04:33",
"content": "so you would say if\nm=(-1)*a, they are 90 degrees right?",
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"id": 1050910893262774300,
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"timestamp": "12/09/2022 18:04:41",
"content": "yes",
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"id": 1050910907678601200,
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:04:45",
"content": "nice",
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"id": 1050910938955526300,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:04:52",
"content": "so, what are 'our' m and a here?",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:04:58",
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"timestamp": "12/09/2022 18:05:12",
"content": "that definately does not apply here",
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"author_name": "Pirate",
"timestamp": "12/09/2022 18:05:28",
"content": "(6,8,8) is not -(6,10,-2)",
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"content": "wait",
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"content": "that doesnt work for vectors that easily",
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"content": "oh?",
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"timestamp": "12/09/2022 18:06:08",
"content": "you see, if you multiply a vector with -1, you only reverse its direction",
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"content": "aka",
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"timestamp": "12/09/2022 18:06:20",
"content": "wait",
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"timestamp": "12/09/2022 18:07:06",
"content": "ok",
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"timestamp": "12/09/2022 18:07:33",
"content": "like this",
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"timestamp": "12/09/2022 18:08:06",
"content": "hmm",
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"timestamp": "12/09/2022 18:08:29",
"content": "so its not quite as nice",
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"timestamp": "12/09/2022 18:08:55",
"content": "but there is a trick",
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"timestamp": "12/09/2022 18:08:57",
"content": "called",
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"timestamp": "12/09/2022 18:09:23",
"content": "if the dot product of 2 vectors is 0, we know they have a 90 degree angle",
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"timestamp": "12/09/2022 18:09:41",
"content": "the proof for that is hard, so I just tell you that and you have to trust me, but you can look it up",
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"timestamp": "12/09/2022 18:09:44",
"content": "now",
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"timestamp": "12/09/2022 18:10:05",
"content": "could you please find the dot product of 'our' a and m?",
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"content": "yes",
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"timestamp": "12/09/2022 18:19:33",
"content": "Hello everyone. I really appreciate your help with this problem.\nI have already found the Weyl's group, but I have not been able to prove the determinant formula for this case in the Weyl integration formula",
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"content": "hey ga, please go to an empty help channel like #help-2｜jasonnn , this ones already in use ``",
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"timestamp": "12/09/2022 18:20:44",
"content": "my apologies the image never sent from my phone",
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"timestamp": "12/09/2022 18:21:00",
"content": ",rccw",
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"author_name": "TeXit",
"timestamp": "12/09/2022 18:21:01",
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"timestamp": "12/09/2022 18:21:28",
"content": "looks okay",
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"timestamp": "12/09/2022 18:22:01",
"content": "after seeing this you can be certain that its never gonna be near 0 and just stop, since you only care if it IS 0",
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"timestamp": "12/09/2022 18:22:27",
"content": "so we know the motions L1 and L2 are not in a 90 degree angle",
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"timestamp": "12/09/2022 18:22:37",
"content": "yup",
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"timestamp": "12/09/2022 18:22:38",
"content": "next up is c",
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"timestamp": "12/09/2022 18:22:39",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1050887036648820898/unknown.png",
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"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:23:02",
"content": "do you know how to calculate if the paths intersect?",
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"timestamp": "12/09/2022 18:23:09",
"content": "no",
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"timestamp": "12/09/2022 18:23:12",
"content": "ok",
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"timestamp": "12/09/2022 18:23:34",
"content": "how would you do it for functions?\nf(x)=something\nt(x)=something else",
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"timestamp": "12/09/2022 18:24:12",
"content": "@Pirate",
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"timestamp": "12/09/2022 18:24:27",
"content": "um I would set them equal to each other?",
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"timestamp": "12/09/2022 18:24:32",
"content": "yes",
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"timestamp": "12/09/2022 18:24:43",
"content": "so, since we can pretend that L1 and L2 are functions",
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"timestamp": "12/09/2022 18:24:49",
"content": "how would you find out they intersect?",
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"timestamp": "12/09/2022 18:25:51",
"content": "um I would set hmm l1 =l2?",
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"timestamp": "12/09/2022 18:26:19",
"content": "or I could substitute s for l1?",
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"timestamp": "12/09/2022 18:26:43",
"content": "no no just set l1=l2",
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"timestamp": "12/09/2022 18:26:47",
"content": "thats correct",
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"timestamp": "12/09/2022 18:27:07",
"content": "remember that for equations you can split the lines again, wait I send something",
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"timestamp": "12/09/2022 18:27:16",
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"timestamp": "12/09/2022 18:28:15",
"content": "",
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"timestamp": "12/09/2022 18:28:16",
"content": "like that",
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"timestamp": "12/09/2022 18:28:22",
"content": "thats your equation system",
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"timestamp": "12/09/2022 18:28:29",
"content": "to find points that intersect",
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"timestamp": "12/09/2022 18:28:35",
"content": "ok.",
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"timestamp": "12/09/2022 18:31:31",
"content": "so with 350+6T = 380 + 6s. My mind is blanking how do I go about solving that",
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"timestamp": "12/09/2022 18:32:06",
"content": "well, since 380>350 I would solve for t.\nWait, I will send",
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"timestamp": "12/09/2022 18:33:31",
"content": "like this",
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"timestamp": "12/09/2022 18:33:33",
"content": "t=5+s",
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"timestamp": "12/09/2022 18:33:59",
"content": "I don't know how your teacher likes it, but instead of :6 you can also write *(1/6)",
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"timestamp": "12/09/2022 18:34:15",
"content": "then, plug that t you found into any of the 2 other lines",
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"timestamp": "12/09/2022 18:34:44",
"content": "hmm ok",
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"timestamp": "12/09/2022 18:40:03",
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"timestamp": "12/09/2022 18:40:19",
"content": "I see you chose 2",
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"timestamp": "12/09/2022 18:40:26",
"content": "yup",
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"timestamp": "12/09/2022 18:40:29",
"content": "yeah that looks right",
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"id": 1050919964615385100,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:40:44",
"content": "now for the second-last part, plug that s into the first equation again",
"attachments": [],
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"reference": null
},
{
"id": 1050920007305023600,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:40:54",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050920279880245200,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:41:59",
"content": "so t = 50",
"attachments": [],
"mentions": [],
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},
{
"id": 1050920480456065000,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:42:47",
"content": "nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050920503302434800,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:42:53",
"content": "now put s and t into the 3rd line",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050920542821171300,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:43:02",
"content": "to find out, if its solvable or not",
"attachments": [],
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"reference": null
},
{
"id": 1050920626954711000,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:43:22",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050920893032955900,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:44:26",
"content": "they equal each other",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050920903019597800,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:44:28",
"content": "400=400",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921079100690600,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:45:10",
"content": "so it is solvable for t=50 and s=45",
"attachments": [],
"mentions": [],
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},
{
"id": 1050921099774402700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:45:15",
"content": "nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921104727887900,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:45:16",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1050921117457596500,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:45:19",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1050887036648820898/unknown.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921204418097200,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:45:40",
"content": "so you can just type they intersect, since they don't care about the coordinates it seems",
"attachments": [],
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"reference": null
},
{
"id": 1050921268892934100,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:45:55",
"content": "Ok, thank you so much!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921287175897100,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:46:00",
"content": "now for collision this is gonna be a little harder",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921381350617100,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:46:22",
"content": "do you know if s and t are linear to each other?",
"attachments": [],
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"reference": null
},
{
"id": 1050921406046675000,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:46:28",
"content": "like is there more to the task",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921439575945300,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:46:36",
"content": "no that is everything",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921452561502200,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:46:39",
"content": "I was given",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921465412853800,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:46:42",
"content": "well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921533163446400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:46:58",
"content": "so we just have to assume that if s=t the objects are at the same position in time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921556332781600,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:47:04",
"content": "but that makes it much easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921583721582700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:47:10",
"content": "actually, you're done",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921666533925000,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:47:30",
"content": "Wait why am I done?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921696267337700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:47:37",
"content": "you already have t=50 and s=45",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921718853681200,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:47:42",
"content": "that is when the path intersects",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921757676150900,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:47:52",
"content": "but",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921808276226000,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:48:04",
"content": "when t=50 and s=50 they are not in the same positon",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921852823949300,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:48:14",
"content": "or when t=45 and s=45",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050921939989971000,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:48:35",
"content": "ooo so if t = s they collide?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922019031629800,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:48:54",
"content": "if s=t AND L1(t)=L2(s)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922137189367800,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:49:22",
"content": "o i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922142054752400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:49:23",
"content": "but you know that L1=L2 only when t=50 and s=45\nso t and s are never the same when L1=L2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922150627901400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:49:25",
"content": "so youre done",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922326511845500,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:50:07",
"content": "woot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922336569794600,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:50:10",
"content": "thats a relief",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922396401553400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:50:24",
"content": "I don't know what you are taught, but you can probably just write something like\n'because the equation system only has the solution {t=50,s=45} the objects never collide'",
"attachments": [],
"mentions": [],
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},
{
"id": 1050922477833957500,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:50:43",
"content": "honestly this is more than what I was taught lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050922504539082800,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:50:50",
"content": "ah ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050923490859044900,
"author_id": 239843309206503420,
"author_name": "Pirate",
"timestamp": "12/09/2022 18:54:45",
"content": "Well thank you so much again walking me through it all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050923843721637900,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/09/2022 18:56:09",
"content": "yw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050931041608683600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 19:24:45",
"content": "@Pirate Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "Pirate",
"discriminator": "7111",
"nickname": "Pirate",
"isBot": false
}
],
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},
{
"id": 1050938593075531900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 19:54:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
9a6e8b6399b1421ea7bec475b66b3eb2
|
199,963 |
[
{
"id": 1050938845161603100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 19:55:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050939119565553700,
"author_id": 811001070028456000,
"author_name": "Flam",
"timestamp": "12/09/2022 19:56:51",
"content": "https://images-ext-1.discordapp.net/external/9kgWQF59h02vPwUqG-qSfq1SvJrUQA66V2UsneYSm10/https/cdn.upload.systems/uploads/qD4wyb9A.png",
"attachments": [],
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},
{
"id": 1050939121553637500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 19:56:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1050939119565553700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1050939153988190200,
"author_id": 811001070028456000,
"author_name": "Flam",
"timestamp": "12/09/2022 19:56:59",
"content": "whats this nnotation mean",
"attachments": [],
"mentions": [],
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},
{
"id": 1050939337036013700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/09/2022 19:57:43",
"content": "That's the floor symbol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050939607509905500,
"author_id": 811001070028456000,
"author_name": "Flam",
"timestamp": "12/09/2022 19:58:47",
"content": "bet thx",
"attachments": [],
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{
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{
"id": 1050939611892949000,
"author_id": 811001070028456000,
"author_name": "Flam",
"timestamp": "12/09/2022 19:58:48",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050939615961419800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 19:58:49",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d1aed72e80a940e59ab5555f6e1aa9ba
|
199,964 |
[
{
"id": 1050939651206152200,
"author_id": 811001070028456000,
"author_name": "Flam",
"timestamp": "12/09/2022 19:58:58",
"content": "god i love having a server full of nerds (respectfully)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050941647220900000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 20:06:54",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050943479657803800,
"author_id": 796760495196864500,
"author_name": "LXDL",
"timestamp": "12/09/2022 20:14:11",
"content": "after applying stokes thereom, we know that for a FLUX integral, it is taken with respect to dS' where dS' has the magnitude of the surface area and direction of the unit normal vector. However we also know that ds, where ds is just plain surface area is equal to the magnitude of the NORMAL (NOT UNIT) VECTOR times dA. Thus the magnitude of the NORMAL vectors will cancel out and we are left with only then NORMAL vector dA which is then crossed by the curl of F.",
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"fileName": "IMG_1503.png",
"fileSizeBytes": 332411
}
],
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},
{
"id": 1050943483046809600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 20:14:11",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1050943479657803800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1050943487916392400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 20:14:13",
"content": null,
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},
{
"id": 1050943540525535200,
"author_id": 796760495196864500,
"author_name": "LXDL",
"timestamp": "12/09/2022 20:14:25",
"content": "my other channel disappeared",
"attachments": [],
"mentions": [
{
"id": 805217272087838700,
"name": "Mathematics Bot",
"discriminator": "0196",
"nickname": "Bot",
"isBot": true
}
],
"reference": null
},
{
"id": 1050943698629836800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/09/2022 20:15:03",
"content": "It's #help-11",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050944133814034400,
"author_id": 796760495196864500,
"author_name": "LXDL",
"timestamp": "12/09/2022 20:16:47",
"content": "thanks sir, is there a way to quicjjly check which channels ive occupied?",
"attachments": [],
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{
"id": 374795910032523260,
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}
],
"reference": null
},
{
"id": 1050944239732793300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/09/2022 20:17:12",
"content": "Look in MATH HELP (OCCUPIED) and look for your name",
"attachments": [],
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"reference": null
},
{
"id": 1050944246892466200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/09/2022 20:17:14",
"content": "",
"attachments": [
{
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"fileSizeBytes": 46275
}
],
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},
{
"id": 1050944286180516000,
"author_id": 796760495196864500,
"author_name": "LXDL",
"timestamp": "12/09/2022 20:17:23",
"content": "i see alright thanks",
"attachments": [],
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{
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}
],
"reference": null
},
{
"id": 1050944631510155400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/09/2022 20:18:45",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1050944635868033000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/09/2022 20:18:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6888dcfb4ac14e728f9cc9cd56929d9e
|
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