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"id": 903430670930563100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/28/2021 19:50:56",
"content": "Available help channel!",
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"id": 903433868722446500,
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"author_name": "melzer",
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"author_name": "Mathematics Bot",
"timestamp": "10/28/2021 20:03:39",
"content": "Pinned a message.",
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"id": 903434789112143900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:07:18",
"content": "simplification?",
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"id": 903435006704238600,
"author_id": 377426871932944400,
"author_name": "melzer",
"timestamp": "10/28/2021 20:08:10",
"content": "yes I'm too confused to understand this",
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"id": 903435077059489900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:08:27",
"content": "how about combining all of those constants first?",
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{
"id": 903435161104941200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:08:47",
"content": "looks like you have a $12$, a $- \\frac{2}{5}$ and a $3$",
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{
"id": 903435173192945700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/28/2021 20:08:50",
"content": "**jan Niku**",
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"id": 903435208949399600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:08:58",
"content": "what do you get when you multiply all those together",
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{
"id": 903435472561397800,
"author_id": 377426871932944400,
"author_name": "melzer",
"timestamp": "10/28/2021 20:10:01",
"content": "36?",
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{
"id": 903435561023451100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:10:22",
"content": "that doesnt sound right :thonk:",
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{
"id": 903435585467863000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:10:28",
"content": "i think 12 * 3 is gonna be 36",
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{
"id": 903435615465504800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:10:35",
"content": "but then you also need to multiply in the -2/5",
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{
"id": 903435710219059200,
"author_id": 377426871932944400,
"author_name": "melzer",
"timestamp": "10/28/2021 20:10:58",
"content": "🤔",
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{
"id": 903435767462907900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:11:11",
"content": "I'm suggesting to move the constants just because theyre one kind of thing is all 😄",
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{
"id": 903435836006219800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:11:28",
"content": "theres no addition or anything in this problem so those parentheses are more suggestions than anything",
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{
"id": 903435895267557500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:11:42",
"content": "its just multiplication, which is commutative, so you can move any factor around wherever you want",
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"id": 903435920043282400,
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"author_name": "jan Niku",
"timestamp": "10/28/2021 20:11:48",
"content": "it may make the problem a bit more approachable",
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{
"id": 903435969544474600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/28/2021 20:12:00",
"content": "you could start with the x's or y's instead, if you don't like the constants",
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"id": 903436042298871800,
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"author_name": "melzer",
"timestamp": "10/28/2021 20:12:17",
"content": "ok",
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"id": 903436765556244500,
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"author_name": "melzer",
"timestamp": "10/28/2021 20:15:09",
"content": ".close",
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"id": 903436766793564200,
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"timestamp": "10/28/2021 20:15:10",
"content": "Channel closed",
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] | help-10 | 64b250c38b084d7cb8ca65842aee515a |
10 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/11/2022 10:46:38",
"content": "Available help channel!",
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"timestamp": "01/11/2022 10:51:26",
"content": "Pinned a message.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:51:41",
"content": "Is there a simpler way at understanding poly",
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{
"id": 930489167891288000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:51:45",
"content": "Polynomes",
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"id": 930489242973532300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:52:03",
"content": "I can't understand it, especially yhe multiplication",
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"id": 930489363115171800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:52:31",
"content": "I jsut started understanding addition, but my class has moved onto multiplication",
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{
"id": 930489486159249400,
"author_id": 902306958688788500,
"author_name": "Jess | ⵙⵍⴰⵎ",
"timestamp": "01/11/2022 10:53:01",
"content": "I see that ur French",
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{
"id": 930489548172034000,
"author_id": 902306958688788500,
"author_name": "Jess | ⵙⵍⴰⵎ",
"timestamp": "01/11/2022 10:53:15",
"content": "Is it okay helping him in French?",
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"id": 930489584696037400,
"author_id": 902306958688788500,
"author_name": "Jess | ⵙⵍⴰⵎ",
"timestamp": "01/11/2022 10:53:24",
"content": "idk if talking in another language is against rules",
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"author_name": "Deleted User",
"timestamp": "01/11/2022 10:54:22",
"content": "I don't think it matters if its french, since the actual equation is there",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 10:54:56",
"content": "I've seen other ppl do this",
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"id": 930489982504816600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 10:54:59",
"content": "since it helps",
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{
"id": 930489992717946900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 10:55:01",
"content": "but idk about rules",
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"id": 930490031032922100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:55:11",
"content": "It's easier for me in english",
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"author_name": "Deleted User",
"timestamp": "01/11/2022 10:55:22",
"content": "My first language isn't French",
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"id": 930490200772202500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/11/2022 10:55:51",
"content": "It was just saying what type of equation it is",
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"id": 930490421128343700,
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"author_name": "Jess | ⵙⵍⴰⵎ",
"timestamp": "01/11/2022 10:56:44",
"content": "oh alright",
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"author_name": "Mathematics Bot",
"timestamp": "01/11/2022 11:10:51",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "01/11/2022 11:41:01",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "01/11/2022 12:56:38",
"content": "@Deleted User Has your question been resolved?",
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] | help-10 | 5956192ab017431ab9604eb52bd47c28 |
100 | [
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"timestamp": "01/16/2022 16:46:41",
"content": "Available help channel!",
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"id": 932392293921620100,
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"author_name": "Deleted User",
"timestamp": "01/16/2022 16:54:05",
"content": "how to transform expression in first image to second image for group theory",
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"timestamp": "01/16/2022 16:54:06",
"content": "Pinned a message.",
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"author_name": "Omegabet_",
"timestamp": "01/16/2022 16:54:29",
"content": "associativity it looks like",
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"timestamp": "01/16/2022 16:54:38",
"content": "oo",
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"timestamp": "01/16/2022 16:54:45",
"content": "thnx",
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] | help-10 | 7bfc5494805a441eb1dd3e5fc8cbddde |
1,000 | [
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"content": "Available help channel!",
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"timestamp": "03/02/2022 11:09:45",
"content": "how do you solve the shaded area?",
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"timestamp": "03/02/2022 11:15:11",
"content": "thx i did it a similar way",
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] | help-10 | 3de24892795a4f7592349607507b26b7 |
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] | help-10 | 4acc0278212b4be5b89197d3a443fe83 |
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"timestamp": "11/08/2021 04:50:02",
"content": "Pinned a message.",
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"author_id": 673269524329529500,
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"timestamp": "11/08/2021 04:50:28",
"content": "Could someone explain how they got 5pi/3 as a second value for part e",
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"timestamp": "11/08/2021 05:20:01",
"content": "@Muzza Has your question been resolved?",
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"timestamp": "11/08/2021 05:54:25",
"content": "@Muzza Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | cd2df245c7724676867b5a24d3aaa2ae |
1,003 | [
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"id": 948615614803628000,
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"timestamp": "03/02/2022 11:19:46",
"content": "Available help channel!",
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"id": 948615738355245000,
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"timestamp": "03/02/2022 11:20:46",
"content": "can someone explain this to me",
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"id": 948615990365798400,
"author_id": 302128987835072500,
"author_name": "lost",
"timestamp": "03/02/2022 11:21:16",
"content": "how did they get the r=0.83? and how they got the mean and stander deviation",
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"content": "@lost Has your question been resolved?",
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"timestamp": "03/02/2022 12:21:17",
"content": "@lost Has your question been resolved?",
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"id": 948632638279798900,
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"timestamp": "03/02/2022 12:27:25",
"content": "hello?",
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"id": 948633552344461300,
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"content": "@Helpers",
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"timestamp": "03/02/2022 13:31:03",
"content": "@lost Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 8405831b93544cf1acb4f7870d42d6ce |
1,004 | [
{
"id": 948664005923315700,
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"content": "Available help channel!",
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},
{
"id": 948664695747915800,
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"author_name": "truj",
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"id": 948664722629210100,
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"author_name": "truj",
"timestamp": "03/02/2022 14:34:55",
"content": "can someone show me",
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{
"id": 948664753448951900,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:35:02",
"content": "how to do b)",
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"id": 948665002989068300,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:36:02",
"content": "You need to find when the boat bumps into the dock (t = ? when this happens)",
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"id": 948665035302010900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:36:09",
"content": "Then evaluate **s'(t)** at t = ?",
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"content": "i tried but idk",
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"id": 948665402584629400,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:37:37",
"content": "The boat bumps into the dock when it's 0 meters from the dock",
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"id": 948665439918108800,
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"author_name": "truj",
"timestamp": "03/02/2022 14:37:46",
"content": "yes i get that",
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"id": 948665491570974700,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:37:58",
"content": "Find where s(t) = 0 in that case",
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"id": 948665674643955700,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:38:42",
"content": "but then ur left with 60-10t=0",
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"id": 948665687784685600,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:38:45",
"content": "t=6",
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"id": 948665829321478300,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:39:19",
"content": "Yup",
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"id": 948665838188265500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/02/2022 14:39:21",
"content": "There you go",
"attachments": [],
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},
{
"id": 948665915690582000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:39:39",
"content": "Just make sure it is inside the range of possible t values (which it is)",
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"id": 948665917158596600,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:39:40",
"content": "then i did s prime of 6",
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"id": 948665946174787600,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:39:46",
"content": "and i got -5",
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},
{
"id": 948666036775972900,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:40:08",
"content": "answer key says its 10/9",
"attachments": [],
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"reference": null
},
{
"id": 948666130560610400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:40:30",
"content": ",w evaluate the derivative of (10(6-t))/(t+3) at t = 6",
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},
{
"id": 948666143462285300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/02/2022 14:40:33",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 948666302048915500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:41:11",
"content": "what is your s prime?",
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"id": 948666308898226300,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:41:13",
"content": "answer key says its positive",
"attachments": [],
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},
{
"id": 948666413386711000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:41:38",
"content": "-90/(t+3)^2",
"attachments": [],
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"id": 948666931450347500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:43:41",
"content": ",w -90/(6+3)^2",
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},
{
"id": 948666943014056000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/02/2022 14:43:44",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 948666996667588600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:43:57",
"content": "I don't know how you got -5",
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"id": 948667036052095100,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:44:06",
"content": "sorry i calculated wrong",
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},
{
"id": 948667081925226500,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:44:17",
"content": "but answer ley says ots ppositivre",
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"id": 948667090313834600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:44:19",
"content": "Alrighty, let's talk about positive vs negative",
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{
"id": 948667131208290300,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:44:29",
"content": "okk",
"attachments": [],
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},
{
"id": 948667199583817700,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:44:45",
"content": "The distance function s, is it increasing or decreasing?",
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},
{
"id": 948667266176794600,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:45:01",
"content": "decreasing",
"attachments": [],
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},
{
"id": 948667300851114000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:45:09",
"content": "So the speed must be negative, right?",
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},
{
"id": 948667325643636900,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:45:15",
"content": "yes",
"attachments": [],
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},
{
"id": 948667328713851000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:45:16",
"content": "From the frame of reference of the dock",
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},
{
"id": 948667424914432000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:45:39",
"content": "yes",
"attachments": [],
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},
{
"id": 948667492501434400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:45:55",
"content": "But from the boat's frame of reference, it has a positive velocity towards the dock.",
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},
{
"id": 948667549548179500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:46:09",
"content": "Myself, I would accept your negative answer.",
"attachments": [],
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},
{
"id": 948667621589524600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:46:26",
"content": "Since the task specifically places the origin at the dock",
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},
{
"id": 948667629617438700,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:46:28",
"content": "then is the textbook answer wrong then",
"attachments": [],
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},
{
"id": 948667644515586000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:46:31",
"content": "?",
"attachments": [],
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},
{
"id": 948667681492586500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:46:40",
"content": "🤷",
"attachments": [],
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},
{
"id": 948667709867057300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:46:47",
"content": "It can be justified",
"attachments": [],
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},
{
"id": 948667764820811800,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/02/2022 14:47:00",
"content": "You just have to change frames of reference",
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},
{
"id": 948670207013036000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:56:42",
"content": "i see",
"attachments": [],
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},
{
"id": 948670254903615500,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:56:54",
"content": "",
"attachments": [
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"id": 948670254081523800,
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"fileName": "unknown.png",
"fileSizeBytes": 26989
}
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},
{
"id": 948670267608154100,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:56:57",
"content": "for 13 iii)",
"attachments": [],
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"reference": null
},
{
"id": 948670288038600700,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:57:02",
"content": "im getting -0.25",
"attachments": [],
"mentions": [],
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},
{
"id": 948670334146601000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:57:13",
"content": "not 0.25",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 948670526581248000,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:57:58",
"content": "can anyone explain?",
"attachments": [],
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},
{
"id": 948670618524594300,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:58:20",
"content": "oh wait nvm",
"attachments": [],
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},
{
"id": 948670667761549400,
"author_id": 539274667270209540,
"author_name": "truj",
"timestamp": "03/02/2022 14:58:32",
"content": ".close",
"attachments": [],
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},
{
"id": 948670669032423600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/02/2022 14:58:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | 91f4bae5d77c457c9040d0325cc7dc3e |
1,005 | [
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"author_name": "Mathematics Bot",
"timestamp": "03/02/2022 16:36:59",
"content": "Available help channel!",
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"reference": null
},
{
"id": 948697795261526000,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 16:46:20",
"content": "Could someone please help me with this one?",
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"id": 948697797723553800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/02/2022 16:46:20",
"content": "Pinned a message.",
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"id": 948699540402368500,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 16:53:16",
"content": "try and split the shape up into squares and triangles",
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"id": 948700044561907800,
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"timestamp": "03/02/2022 16:55:16",
"content": "rectangles*",
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"id": 948700371579195400,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 16:56:34",
"content": "also you can find the base length of the shape by using Pythagoras",
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"id": 948700624617345000,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 16:57:34",
"content": "It's sqrt(24^2-7^2) ?",
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"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:00:52",
"content": "Maybe the best thing I could do would be to flip it?",
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"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:01:37",
"content": "",
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"id": 948702092703436800,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:03:24",
"content": "Is the volume 1620m^3",
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"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:05:30",
"content": "idk haven't checked however",
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"id": 948702695752106100,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:05:48",
"content": "🥲",
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},
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"id": 948702714924269600,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:05:53",
"content": "yes",
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"id": 948702746733850600,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:06:00",
"content": "that's right",
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"id": 948702880184012800,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:06:32",
"content": "once you have the length ps",
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"id": 948702918712893400,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:06:41",
"content": "eeeh",
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"timestamp": "03/02/2022 17:06:42",
"content": "pretty straight forward from there",
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"id": 948702926891810800,
"author_id": 870241483431751800,
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"timestamp": "03/02/2022 17:06:43",
"content": "the length",
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"id": 948703020558991500,
"author_id": 870241483431751800,
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"timestamp": "03/02/2022 17:07:06",
"content": "sqrt(527)",
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"id": 948703094559105000,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:07:23",
"content": "🍵",
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{
"id": 948703124552556700,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:07:30",
"content": "if you don't know what to do with the incline in height just split the side into a rectangle and triangle",
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"timestamp": "03/02/2022 17:07:53",
"content": "I'd still need the length",
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{
"id": 948703249345687600,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:08:00",
"content": "I think the question is a bit of a wrong one-",
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"id": 948703483899551900,
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"timestamp": "03/02/2022 17:08:56",
"content": "the length (PS)",
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"id": 948703544410800300,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:09:11",
"content": "is sqrt 527",
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"id": 948703566590246900,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:09:16",
"content": "yeah-",
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"id": 948703648509227000,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:09:35",
"content": "smaller than hypotenuse and bigger than height",
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},
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"author_name": "MrLuke",
"timestamp": "03/02/2022 17:09:49",
"content": "which is expected for the base in this question",
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"id": 948703752880271400,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:10:00",
"content": "\\:o",
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"author_name": "MrLuke",
"timestamp": "03/02/2022 17:13:06",
"content": "i got 1550 m^3",
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"id": 948704617120813000,
"author_id": 870241483431751800,
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"timestamp": "03/02/2022 17:13:26",
"content": "How?",
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"id": 948704780388302800,
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"author_name": "MrLuke",
"timestamp": "03/02/2022 17:14:05",
"content": "i found the cross sectional area first (the side)",
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"timestamp": "03/02/2022 17:14:16",
"content": "then times it by the width",
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"id": 948704965965283500,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:14:49",
"content": "To find the cross section's area you'd have to work with sqrt(527) 🤔",
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"id": 948704999456772100,
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"author_name": "MrLuke",
"timestamp": "03/02/2022 17:14:57",
"content": "yes",
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"id": 948705021162315900,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:15:03",
"content": "since that is the base",
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{
"id": 948705034521182300,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:15:06",
"content": "length",
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},
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"id": 948705113629933600,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:15:25",
"content": "1/2 * (sqrt(527) + 24) * ??",
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"id": 948705168793423900,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:15:38",
"content": "Is this wrong?",
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},
{
"id": 948705206189822000,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:15:47",
"content": "instead of + 24",
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},
{
"id": 948705248292266000,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:15:57",
"content": "it is * 24",
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},
{
"id": 948705275202916400,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:16:03",
"content": "1/2 * (8 + 1) * 24 * 15",
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},
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"id": 948705343557500900,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:16:19",
"content": "no-",
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},
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"id": 948705358241742800,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:16:23",
"content": "area of a 2d triangle is 1/2 base * height",
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{
"id": 948705550735130600,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:17:09",
"content": "OOH You're doing the triangle, why not do it directly with the trapezium?",
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},
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"id": 948705611657392300,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:17:23",
"content": "",
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"id": 948705787486818300,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:18:05",
"content": "🤔",
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{
"id": 948705841140363300,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:18:18",
"content": "a trapezium is used when the sides are both perfectly horizontal or vertical",
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"id": 948705952952107000,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:18:45",
"content": "But they are if we flip it?",
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{
"id": 948705982505156600,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:18:52",
"content": "Like this?",
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},
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"id": 948705984115802100,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:18:52",
"content": "wdym",
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},
{
"id": 948706051862184000,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:19:08",
"content": "naaah",
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},
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"id": 948706096107913200,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:19:19",
"content": "24 is the slanted part",
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},
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"id": 948706105930948600,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:19:21",
"content": "So it can't be",
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},
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"id": 948706107428311000,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:19:22",
"content": "that is the wrong shape sry",
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"id": 948706124700479500,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:19:26",
"content": "for your picture",
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"id": 948706125493203000,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:19:26",
"content": "Yeah you're right",
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},
{
"id": 948706152676470800,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:19:32",
"content": "I flipped it-",
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"id": 948706325179809800,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:20:14",
"content": "shape this",
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"id": 948706326459060400,
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"timestamp": "03/02/2022 17:20:14",
"content": "Just rotated -90 clockwise",
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"id": 948706349972324500,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:20:19",
"content": "the only thing you need to do",
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"id": 948706411335020500,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:20:34",
"content": "is split it into a rectangle and a triangle",
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"id": 948706455089971200,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:20:45",
"content": "ooooh",
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"author_id": 148488070235291650,
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"timestamp": "03/02/2022 17:20:50",
"content": "you don't need to do that ever",
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:21:20",
"content": "So when should I use the trapezium area?",
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"content": "",
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"id": 948706796833480700,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:22:06",
"content": "when it is a shape like that",
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"id": 948706907491819500,
"author_id": 870241483431751800,
"author_name": "ImportLua",
"timestamp": "03/02/2022 17:22:32",
"content": "aaah",
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{
"id": 948706996453003300,
"author_id": 148488070235291650,
"author_name": "MrLuke",
"timestamp": "03/02/2022 17:22:54",
"content": "were two of the sides that are opposite to each other are slanted",
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"id": 948707026777829400,
"author_id": 870241483431751800,
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"timestamp": "03/02/2022 17:23:01",
"content": "Now it makes more sense, thank you \\:D",
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"id": 948707052224651300,
"author_id": 148488070235291650,
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"timestamp": "03/02/2022 17:23:07",
"content": "np",
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},
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"id": 948707194407358500,
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"author_name": "ImportLua",
"timestamp": "03/02/2022 17:23:41",
"content": ".close",
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"id": 948707195715989500,
"author_id": 805217272087838700,
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"timestamp": "03/02/2022 17:23:41",
"content": "Channel closed",
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}
] | help-10 | 11febecf0e444cc682812f77f0d34285 |
1,006 | [
{
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"timestamp": "03/02/2022 17:24:43",
"content": "Available help channel!",
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"id": 948708007993290800,
"author_id": 456226577798135800,
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"timestamp": "03/02/2022 17:26:55",
"content": "HI",
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{
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"timestamp": "03/02/2022 17:26:55",
"content": "Pinned a message.",
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"timestamp": "03/02/2022 17:27:07",
"content": "I got a question",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/02/2022 17:27:22",
"content": "what will the algebraic pattern rule be for this:",
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"timestamp": "03/02/2022 17:27:35",
"content": "5,25,625,390625",
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"content": "Ummm bases of 5?",
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"timestamp": "03/02/2022 17:28:13",
"content": ",w is 390625 a base of 5",
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"timestamp": "03/02/2022 17:28:37",
"content": "oh",
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"timestamp": "03/02/2022 17:28:41",
"content": "Not bases but exponents i think",
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"timestamp": "03/02/2022 17:28:43",
"content": "whats a base",
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"content": "oh",
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"timestamp": "03/02/2022 17:28:57",
"content": ",w factors of 390625",
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"timestamp": "03/02/2022 17:28:59",
"content": "Results provided by WolframAlpha",
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"timestamp": "03/02/2022 17:29:00",
"content": "so what will the algebric pattern rule be",
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"timestamp": "03/02/2022 17:29:10",
"content": "$$5^x$$",
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"timestamp": "03/02/2022 17:29:13",
"content": "**Pluton**",
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"timestamp": "03/02/2022 17:29:26",
"content": "They all have only 5 as prime factors",
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"timestamp": "03/02/2022 17:29:29",
"content": "so is x the term?",
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"timestamp": "03/02/2022 17:29:48",
"content": "Ye",
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"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/02/2022 17:30:06",
"content": "don't do people's work for them",
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"timestamp": "03/02/2022 17:30:27",
"content": "no thats not true then",
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"author_name": "Deleted User",
"timestamp": "03/02/2022 17:30:37",
"content": "cuz the 4th term is 390625",
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"timestamp": "03/02/2022 17:30:42",
"content": "not the 8th",
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"timestamp": "03/02/2022 17:30:52",
"content": "Well your x is in some weird pattern",
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"timestamp": "03/02/2022 17:32:25",
"content": "@Deleted User write all numbers as 5^x and you will see tha pattern",
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"timestamp": "03/02/2022 17:32:30",
"content": "think about it, maybe fiddle around with a calculator or something",
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"timestamp": "03/02/2022 17:32:33",
"content": "~~don't do this~~ misread, thought you were meaning list the first few numbers for 5^x",
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"timestamp": "03/02/2022 17:32:48",
"content": "term: Number:\n1 5\n2 25\n3 625\n4 390625",
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"timestamp": "03/02/2022 17:33:03",
"content": "your pattern isn't 5^x",
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"timestamp": "03/02/2022 17:33:21",
"content": "I mean thats the best hint that works in all scenarios. Write as much info as you know",
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"timestamp": "03/02/2022 17:33:24",
"content": "wait maybe its 5^(x-1)",
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"timestamp": "03/02/2022 17:33:30",
"content": "No",
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"timestamp": "03/02/2022 17:33:34",
"content": "no nvm",
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"timestamp": "03/02/2022 17:34:28",
"content": "Just write everything you know",
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"timestamp": "03/02/2022 17:34:36",
"content": "alr",
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"author_name": "Deleted User",
"timestamp": "03/02/2022 17:34:44",
"content": "do I close it?>",
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"timestamp": "03/02/2022 17:34:49",
"content": "No",
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"timestamp": "03/02/2022 17:35:04",
"content": "Write something like this but with much more info",
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"timestamp": "03/02/2022 17:35:15",
"content": "Everything you know about this question",
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"timestamp": "03/02/2022 17:35:32",
"content": "oh",
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"timestamp": "03/02/2022 17:35:33",
"content": "alr",
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"id": 948710187328491600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/02/2022 17:35:34",
"content": "I will",
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"timestamp": "03/02/2022 17:35:42",
"content": "Even if you think something isnt helpful it might help",
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"timestamp": "03/02/2022 17:37:39",
"content": "",
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"timestamp": "03/02/2022 17:38:37",
"content": "Is",
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"timestamp": "03/02/2022 17:38:43",
"content": "$$625 = 5^3$$",
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"timestamp": "03/02/2022 17:38:46",
"content": "**Pluton**",
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"timestamp": "03/02/2022 17:38:58",
"content": "?",
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"timestamp": "03/02/2022 17:39:00",
"content": "no it isnt",
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"id": 948711083798040600,
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"timestamp": "03/02/2022 17:39:08",
"content": "What is it",
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"timestamp": "03/02/2022 17:39:16",
"content": "125",
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"timestamp": "03/02/2022 17:39:29",
"content": "No i mean whats 625 equal to",
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"timestamp": "03/02/2022 17:41:10",
"content": "5^4",
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"timestamp": "03/02/2022 17:41:23",
"content": "5^4",
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"timestamp": "03/02/2022 17:41:33",
"content": "And what is 390625",
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"timestamp": "03/02/2022 17:41:38",
"content": "Its not 5^4",
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"timestamp": "03/02/2022 17:41:46",
"content": "I tihnk 5^7?",
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"timestamp": "03/02/2022 17:42:02",
"content": "nvm its 5^8",
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"id": 948711916417740800,
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"timestamp": "03/02/2022 17:42:27",
"content": "Ok so write all the numbers you got",
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"timestamp": "03/02/2022 17:42:44",
"content": "And look for a pattern",
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"timestamp": "03/02/2022 17:44:36",
"content": "OMG",
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"id": 948712535635415000,
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"timestamp": "03/02/2022 17:44:54",
"content": "You see now?",
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"timestamp": "03/02/2022 17:44:59",
"content": "YEAH",
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"timestamp": "03/02/2022 17:45:18",
"content": "but idk how to make it in to a algbric pattern",
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"timestamp": "03/02/2022 17:45:36",
"content": "Well what is 1 , 2 , 4 , 8",
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"timestamp": "03/02/2022 17:45:45",
"content": "doubling",
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"timestamp": "03/02/2022 17:45:50",
"content": "By",
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"timestamp": "03/02/2022 17:45:53",
"content": "Oh nvm",
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"timestamp": "03/02/2022 17:45:59",
"content": "2",
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"timestamp": "03/02/2022 17:46:18",
"content": "So what can you write 1 , 2 , 4 , 8 , 16 , 32 , 64 ...",
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"timestamp": "03/02/2022 17:46:39",
"content": "Using x",
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"timestamp": "03/02/2022 17:46:44",
"content": "uhh",
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"timestamp": "03/02/2022 17:46:57",
"content": "um",
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"id": 948713086406230000,
"author_id": 456226577798135800,
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"timestamp": "03/02/2022 17:47:06",
"content": "x2?",
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"timestamp": "03/02/2022 17:47:16",
"content": "Not really",
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"timestamp": "03/02/2022 17:47:45",
"content": "x^2?",
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"timestamp": "03/02/2022 17:47:53",
"content": "Thats parabola",
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"timestamp": "03/02/2022 17:47:57",
"content": "But close",
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"timestamp": "03/02/2022 17:48:24",
"content": "eeee",
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"timestamp": "03/02/2022 17:48:27",
"content": "idk",
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"content": "x^3?",
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"content": "Remember what you did with these numbers",
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"content": "Now do same here",
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"content": "square each",
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"content": "No",
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"content": "But write it like this",
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"content": "Just correct this time",
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"content": "oh",
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"timestamp": "03/02/2022 17:50:23",
"content": "so on the right its 5^1, 5^2, 5^4, 5^8?",
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"timestamp": "03/02/2022 17:50:28",
"content": "not what it was before",
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"content": "Ignore 5 rn",
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"content": "1 , 2 , 4 , 8 are important now",
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"content": "alr",
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"timestamp": "03/02/2022 17:51:07",
"content": "hm",
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"content": "1 sec",
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"timestamp": "03/02/2022 17:51:24",
"content": "Like you found pattern in 5 , 25 , 625 ... this is same thing",
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"timestamp": "03/02/2022 17:51:26",
"content": "x^3?",
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"timestamp": "03/02/2022 17:51:41",
"content": "No",
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"content": "double",
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"timestamp": "03/02/2022 17:51:57",
"content": "What is 4",
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"timestamp": "03/02/2022 17:52:20",
"content": "2^2",
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"timestamp": "03/02/2022 17:52:31",
"content": "What is 8",
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"timestamp": "03/02/2022 17:52:36",
"content": "2^3",
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"timestamp": "03/02/2022 17:52:43",
"content": "And 2 is",
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"content": "2^1",
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"timestamp": "03/02/2022 17:52:55",
"content": "1 is also equal to",
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"timestamp": "03/02/2022 17:53:09",
"content": "2^0?",
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"timestamp": "03/02/2022 17:53:12",
"content": "Yes",
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"timestamp": "03/02/2022 17:53:21",
"content": "so",
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"timestamp": "03/02/2022 17:53:47",
"content": "So now you can write this as",
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"timestamp": "03/02/2022 17:53:51",
"content": "n^(2^n+1)?",
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"timestamp": "03/02/2022 17:54:02",
"content": "Umm no",
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"content": "oh",
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"timestamp": "03/02/2022 17:55:01",
"content": "n^(2^5)?",
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"timestamp": "03/02/2022 17:55:17",
"content": "So you know its \n$$5^1 , 5^2 , 5^4 , 2^8$$",
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"author_name": "TeXit",
"timestamp": "03/02/2022 17:55:19",
"content": "**Pluton**",
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"timestamp": "03/02/2022 17:55:29",
"content": "yea I know its that",
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"timestamp": "03/02/2022 17:55:35",
"content": "And you know pattern of 1 , 2 ,4 , 8",
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"content": "yes",
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"timestamp": "03/02/2022 17:55:44",
"content": "So just put it in exponent",
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"timestamp": "03/02/2022 17:56:14",
"content": "5^ (2^n)",
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"content": "Yes",
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"timestamp": "03/02/2022 17:56:28",
"content": "alr",
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"timestamp": "03/02/2022 17:56:30",
"content": "$$5^{2^n}$$",
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"timestamp": "03/02/2022 17:56:32",
"content": "**Pluton**",
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"timestamp": "03/02/2022 17:59:25",
"content": ".close",
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"timestamp": "03/02/2022 17:59:25",
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] | help-10 | 80317558a57f4fb48027c25b582faee8 |
1,007 | [
{
"id": 948716442147229700,
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"author_name": "Rylion",
"timestamp": "03/02/2022 18:06:39",
"content": "I need to find the slope-intercept for of: `(x+y)^5 = x^2+2y-4` at the point `(-1,2)`. Than find the form `dy/dx` of `cos(x^2-y)=x+y^2-1`.",
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"content": "Pinned a message.",
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"timestamp": "03/02/2022 18:21:39",
"content": "@Rylion Has your question been resolved?",
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"content": "@Helpers",
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"id": 948722166084542500,
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"author_name": "Rylion",
"timestamp": "03/02/2022 18:23:10",
"content": "so far I solve for the first one:\n`5(x+y)^4*(1+(dy/dx)) = 2x+2(dy/dx)`",
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"content": "@Helpers",
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"content": "@Helpers",
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"timestamp": "03/02/2022 19:01:37",
"content": "@Helpers",
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"timestamp": "03/02/2022 19:31:38",
"content": "@Rylion Has your question been resolved?",
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"content": "@Helpers",
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"id": 948756787929174000,
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"timestamp": "03/02/2022 20:40:45",
"content": "@Helpers",
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"timestamp": "03/02/2022 21:40:45",
"content": "@Rylion Has your question been resolved?",
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"timestamp": "03/02/2022 21:44:38",
"content": "@Helpers",
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"id": 948787699945472000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/02/2022 22:43:35",
"content": "Take derivative in terms of x on both sides just like what you did for question 1",
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"timestamp": "03/02/2022 23:15:09",
"content": "i just realizd that this doesnt work",
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"timestamp": "03/02/2022 23:16:00",
"content": "but √5^(2^n) does work so thanks",
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"timestamp": "03/02/2022 23:16:05",
"content": "u did help alot",
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"timestamp": "03/02/2022 23:56:05",
"content": "@Rylion Has your question been resolved?",
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"timestamp": "03/03/2022 01:56:06",
"content": "Channel closed",
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] | help-10 | 04cedfe9dc86455ea55f0f7ee59a5234 |
1,008 | [
{
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"id": 948837393178443800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "03/03/2022 02:01:03",
"content": "If you ignore the 44m^2 part, what would you say the area is equal to?",
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},
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"id": 948837864190394400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/03/2022 02:02:55",
"content": "do you know the formula for the area of a rectangle",
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"author_name": "A Lonely Bean",
"timestamp": "03/03/2022 02:03:52",
"content": "#❓how-to-get-help \n• When asking for help, do not insist on getting just the answer; we are here to help you learn, not do the work for you. Likewise, if you are providing help to others, try your best to explain and elaborate instead of simply giving away the answer.",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "03/03/2022 02:04:21",
"content": "So, wouldn't it be x*11/3 ? (I rewrote 3 and 2/3 as 11/3)",
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"author_name": "A Lonely Bean",
"timestamp": "03/03/2022 02:05:23",
"content": ":sully:",
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"id": 948838502831894500,
"author_id": 467435887236612100,
"author_name": "Edd",
"timestamp": "03/03/2022 02:05:27",
"content": "sorry, but this is not how this server works. you will not be given answers. people will be happy to help you, though",
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"id": 948838814376394800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/03/2022 02:06:41",
"content": "this is a question about the area of a rectangle.\nif you don't know how to calculate that then you should consider first looking that up",
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{
"id": 948842527073648600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/03/2022 02:21:27",
"content": "So",
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{
"id": 948842579791867900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/03/2022 02:21:39",
"content": "Can you convert these into improper fractions?",
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"id": 948842608791261200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/03/2022 02:21:46",
"content": "@Yours truly this person only wants answers",
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"name": "Yours truly",
"discriminator": "3785",
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"id": 948842647064281100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/03/2022 02:21:55",
"content": "and they have admitted to only wanting answers",
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"id": 948842701137248300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/03/2022 02:22:08",
"content": "(naturally you should **not** give them answers)",
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"id": 948842710192758800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/03/2022 02:22:10",
"content": "Alright, thanks, that saves time.",
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"id": 948842760650252300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/03/2022 02:22:22",
"content": "Yes, I did not know they won't work for the answer.",
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"id": 948842883040026600,
"author_id": 467435887236612100,
"author_name": "Edd",
"timestamp": "03/03/2022 02:22:51",
"content": ".close",
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{
"id": 948842884361232400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 02:22:52",
"content": "Channel closed",
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"reference": null
}
] | help-10 | a762b7afb77f4e53b7a55619d6199853 |
1,009 | [
{
"id": 948843137307123700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 02:23:52",
"content": "Available help channel!",
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},
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"id": 948845176418353200,
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:31:58",
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"timestamp": "03/03/2022 02:31:59",
"content": "Pinned a message.",
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"id": 948845190297305100,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:32:02",
"content": "How do I do that one?",
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},
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"id": 948845279589834800,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:32:23",
"content": "so I know I have to put it in correct form but idk how",
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"id": 948845298745245700,
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:32:27",
"content": "@Helpers",
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},
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"id": 948846057645809700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:35:28",
"content": "these are all different ways of writing a vector",
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:35:46",
"content": "yea that makes sense",
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"id": 948846167951806500,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:35:55",
"content": "but how do I make it in the same form like (x,y)",
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"id": 948846267507822600,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:36:18",
"content": "especially the first one feels very odd",
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},
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"id": 948846346830508000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:36:37",
"content": "a line parallel to a vector has same implications as for a pair of parallel lines",
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"id": 948846406754504700,
"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "03/03/2022 02:36:52",
"content": "i don't think you need to \"change the form\" of any vectors here, all you need is the direction vector of each line, which has been kindly given to you for both of them, and the geometric formula for the dot product",
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"id": 948846463100801000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:37:05",
"content": "what is the slope of the vector (4,-3)",
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:37:15",
"content": "idk",
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"id": 948846613294616600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:37:41",
"content": "what does (4,-3) mean to you",
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"id": 948846663286521900,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:37:53",
"content": "but the 2nd one in vector form is (5 4 right?",
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"timestamp": "03/03/2022 02:38:02",
"content": "yes",
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:38:08",
"content": "it is a point throughout it passes",
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:38:21",
"content": "so would it be like (x y)= (5 4)",
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"timestamp": "03/03/2022 02:38:26",
"content": "it's a vector in that form too",
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"timestamp": "03/03/2022 02:38:52",
"content": "not quite",
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"id": 948846934460866600,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:38:57",
"content": "yes but we need to find b1 and b2",
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"id": 948846948755066900,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:39:01",
"content": "for dot product",
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"id": 948846963791630300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:39:04",
"content": "a vector points to that point",
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"id": 948846974369665000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:39:07",
"content": "from the origin",
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"id": 948847026785910800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:39:19",
"content": "...so what is its slope then.",
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"id": 948847091038453800,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:39:35",
"content": "4 -3?",
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"author_name": "Disorganized",
"timestamp": "03/03/2022 02:39:56",
"content": "that's not the format for a slope, what do you need to do with that",
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"id": 948847259204870300,
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:40:15",
"content": "how are you supposed to find a slope with only a point?",
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"id": 948847308181762000,
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:40:27",
"content": "wait it is parallel",
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"id": 948847327538466800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:40:31",
"content": "you don't have only a point",
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"id": 948847336090636300,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:40:33",
"content": "so it would be",
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"id": 948847344336658400,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:40:35",
"content": "like",
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},
{
"id": 948847384425812000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:40:45",
"content": "vectors start at the origin and point somewhere",
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"id": 948847391023448000,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:40:46",
"content": "the opposite or smthng",
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"id": 948847495281246200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:41:11",
"content": "I mean they don't have to but a vector given like that does",
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"id": 948847554324496400,
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"author_name": "Pollywog",
"timestamp": "03/03/2022 02:41:25",
"content": "ok",
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"id": 948847600910630900,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:41:36",
"content": "idk then tbh",
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"id": 948847602701594800,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/03/2022 02:41:37",
"content": "why are you trying to find slope. just use the parametric equation for a line",
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"id": 948847724952961000,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:42:06",
"content": "I need to find the direction vector for both",
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},
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"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:42:15",
"content": "he needs a point and the direction to define a line",
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"id": 948847807136145400,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:42:25",
"content": "because the slope gives you direction vector?",
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"timestamp": "03/03/2022 02:42:29",
"content": "the direction comes from the slope of the vector (4,-3)",
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"timestamp": "03/03/2022 02:42:50",
"content": "Pollywog, how do you write slopes",
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"author_name": "DETOX",
"timestamp": "03/03/2022 02:42:54",
"content": "Both are given",
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"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:43:05",
"content": "rise/run?",
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"author_name": "Disorganized",
"timestamp": "03/03/2022 02:43:16",
"content": "@DETOX you are experienced, they are not",
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"id": 948848048153428000,
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"timestamp": "03/03/2022 02:43:23",
"content": "right.",
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"id": 948848080583802900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:43:31",
"content": "Do you see that information in (4,-3)",
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"id": 948848084396433400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:43:32",
"content": "?",
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"id": 948848118798110700,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:43:40",
"content": "yes?",
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"id": 948848148971941900,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:43:47",
"content": "4/-3?",
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},
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"id": 948848165614932000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:43:51",
"content": "~~yes.~~-3/4",
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},
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"id": 948848197168693200,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/03/2022 02:43:58",
"content": "good luck using slope when the line is vertical",
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},
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"id": 948848200557674500,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:43:59",
"content": "fr? thats crazy",
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},
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"id": 948848238075740200,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:44:08",
"content": "so the slope is 4/-3",
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"id": 948848263166042100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:44:14",
"content": "of L1",
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},
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"id": 948848283613286400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:44:19",
"content": "b.c. it's parallel",
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"id": 948848298037477400,
"author_id": 750953371321761800,
"author_name": "Pollywog",
"timestamp": "03/03/2022 02:44:23",
"content": "so then wouldnt the direction vector for the line be (-3 4)",
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"id": 948848385476161500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "03/03/2022 02:44:43",
"content": "oh yeah",
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"content": "dyslexia",
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"content": "You said it in the given order the first time and I didn't notice",
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"content": "rise over run",
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"content": "ohhh so direction vector is (4 -3)",
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"content": "ok now we need the next one",
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"content": "the top number is the x-business, the bottom is the y-business, so the slope is the quotient of the bottom with the top",
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"content": "are you trying to say the slope of L2?",
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"timestamp": "03/03/2022 02:47:42",
"content": "is that the correct order",
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"content": "but how do I know what is rise and what is run",
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"content": "4/5 is the slope for L2 then?",
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"content": "do you believe that it is?",
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"content": "we have a direction...we still need a point",
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"content": "what's the point it passes through?",
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"content": "we have direction vector for both right?",
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"content": "we are past that",
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"content": "the direction vector gives us slope",
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"content": "you have the slopes",
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"content": "hm",
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"content": "I think you are right about htat",
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] | help-10 | a32770365fba41b79b27bf6d922df3b2 |
101 | [
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] | help-10 | 511e24d13db442f88acc7f610ab4af65 |
1,011 | [
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"author_name": "♡ nahitspanda ♡",
"timestamp": "03/03/2022 03:38:30",
"content": "does that look right?",
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"timestamp": "03/03/2022 03:54:09",
"content": "@♡ nahitspanda ♡ Has your question been resolved?",
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] | help-10 | 014d3baafdc745f6a08a069e08a7b3ce |
1,012 | [
{
"id": 948892680765702100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 05:40:44",
"content": "Available help channel!",
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"id": 948892897032405000,
"author_id": 701895792763600900,
"author_name": "s_chanch",
"timestamp": "03/03/2022 05:41:36",
"content": "suppose dim(V) = n (V vector space), how do i show that n linearly independent vectors span V?",
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"id": 948892898722725900,
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"timestamp": "03/03/2022 05:41:36",
"content": "Pinned a message.",
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"id": 948893463884222500,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 05:43:51",
"content": "Have you learnt the terms \"rank\" and \"gauss-jordan elimination\"?",
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"author_id": 569167697925898240,
"author_name": "Camilleone",
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"content": "how do you define a dimension, i think is the first question",
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"id": 948893583442870300,
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"timestamp": "03/03/2022 05:44:19",
"content": "If yes, that's the cue to your answer",
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"id": 948893771372855300,
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"timestamp": "03/03/2022 05:45:04",
"content": "cardinality of basis",
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"timestamp": "03/03/2022 05:45:07",
"content": "(assume finite)",
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"content": "nvm, I should've known you haven't read on matrices yet",
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"timestamp": "03/03/2022 06:00:07",
"content": "@s_chanch Has your question been resolved?",
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"timestamp": "03/03/2022 06:00:41",
"content": "@Helpers",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 06:20:47",
"content": "somebody help ;-;",
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"id": 948904849238544400,
"author_id": 541649716786757600,
"author_name": "centuryegg",
"timestamp": "03/03/2022 06:29:05",
"content": "If you admit that the canonical basis then n linearly independent vector can be reduced to rref form which is exactly the canonical basis and so they span V",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 06:29:34",
"content": "what are rref and canonical basis",
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"author_name": "centuryegg",
"timestamp": "03/03/2022 06:30:51",
"content": "Row reduced echelon form and canonical basis is basically the columns identity matrix",
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"author_name": "centuryegg",
"timestamp": "03/03/2022 06:31:40",
"content": "Well looks like you didn't learn these concept so they are valid in this case",
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"id": 948905525603631100,
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"timestamp": "03/03/2022 06:31:47",
"content": "Arent",
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"author_name": "Ansh_",
"timestamp": "03/03/2022 06:38:39",
"content": ":/",
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"author_name": "themateo713",
"timestamp": "03/03/2022 06:44:50",
"content": "That's most likely the definition of dimension, so how have you defined it ?",
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"timestamp": "03/03/2022 06:45:06",
"content": "because most likely you and I also have the same definition of basis",
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"timestamp": "03/03/2022 06:52:02",
"content": "definition of dimension is cardinality of basis",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 06:52:19",
"content": "i’m trying to show any n linearly independent vectors is a basis too",
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"timestamp": "03/03/2022 06:52:25",
"content": "to do that we prove it spans V",
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"timestamp": "03/03/2022 06:52:47",
"content": "sorry I missed the \"any\" and its importance",
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:53:37",
"content": "i swear you're going in circles about this",
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"timestamp": "03/03/2022 06:53:57",
"content": "what set of notes are you following that doesn't prove this",
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"timestamp": "03/03/2022 06:54:10",
"content": "kennesaw state uni",
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:54:56",
"content": "i dont even know what facts you have on you rn",
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"author_name": "themateo713",
"timestamp": "03/03/2022 06:55:50",
"content": "because the way we said the dimension was well defined in class was that all bases have the same number of vectors",
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"timestamp": "03/03/2022 06:56:34",
"content": "yea",
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"timestamp": "03/03/2022 06:56:39",
"content": "but this",
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"timestamp": "03/03/2022 06:56:51",
"content": "you state the definition then prove it is well defined right after",
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"timestamp": "03/03/2022 06:56:52",
"content": "so we don’t even know (yet) whether the set’s a basis",
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"author_id": 321445119171756000,
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"timestamp": "03/03/2022 06:57:11",
"content": "have you done that?",
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"id": 948912036451070000,
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"author_name": "s_chanch",
"timestamp": "03/03/2022 06:57:39",
"content": "here",
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"id": 948912064934592500,
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"author_name": "s_chanch",
"timestamp": "03/03/2022 06:57:46",
"content": "since all bases have the same cardinality",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:57:51",
"content": "**then**",
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"id": 948912137206640600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:58:03",
"content": "the then bit, have you done that",
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"author_id": 321445119171756000,
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"timestamp": "03/03/2022 06:58:24",
"content": "is this proven",
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"id": 948912292806930400,
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:58:40",
"content": "if yes, this isnt hard to show",
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"id": 948912369206173700,
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"timestamp": "03/03/2022 06:58:58",
"content": "yes",
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:59:46",
"content": "ok then let V space dim n",
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"id": 948912624832249900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 06:59:59",
"content": "S a set of lin ind size n",
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"id": 948912638799253500,
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:00:03",
"content": "ok?",
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"id": 948912712887447600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:00:20",
"content": "consider V - span S",
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"id": 948913150143631400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:02:04",
"content": "what can you do with stuff in here",
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"id": 948913381778276400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:03:00",
"content": "Remember the maximal lin ind thm you showed. It also applies to the entire space",
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"id": 948914217598210000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 07:06:19",
"content": ":o",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 07:09:32",
"content": "nvm",
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"timestamp": "03/03/2022 07:09:37",
"content": "steinitz exchange lemma",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 07:10:11",
"content": "suppose S = {v_1, …, v_n} lin indep\nB basis",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 07:10:41",
"content": "∃ B’ ⊆ B s.t. |B’| + |S| = |B| and S ∪ B’ spans V",
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"timestamp": "03/03/2022 07:10:48",
"content": "B’ empty set",
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"author_name": "s_chanch",
"timestamp": "03/03/2022 07:11:02",
"content": "S = S ∪ B’ spans V",
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"timestamp": "03/03/2022 07:11:03",
"content": "S basis",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:11:47",
"content": "so a lemma",
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"id": 948915613726822500,
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"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:11:52",
"content": "you shud know",
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"id": 948915641384071200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:11:58",
"content": "if i have V space",
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},
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"id": 948915650531848200,
"author_id": 321445119171756000,
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"timestamp": "03/03/2022 07:12:01",
"content": "dim n",
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},
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"id": 948915713400258600,
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"timestamp": "03/03/2022 07:12:16",
"content": "i can construct a basis by",
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"id": 948915780303609900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/03/2022 07:12:32",
"content": "adding linearly independent vectors to my set Si one by one",
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},
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"id": 948915800192991200,
"author_id": 321445119171756000,
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"timestamp": "03/03/2022 07:12:36",
"content": "until it is size n",
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"timestamp": "03/03/2022 07:12:45",
"content": "if the set is Si (has i lin independent vectors)",
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"timestamp": "03/03/2022 07:13:02",
"content": "Then I can keep adding a vector from V - span Si",
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"timestamp": "03/03/2022 07:13:10",
"content": "and Sn will be my basis",
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"timestamp": "03/03/2022 07:18:22",
"content": "yey",
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"timestamp": "03/03/2022 07:18:24",
"content": ".close",
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1,013 | [
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"content": "Find out A,b,c based on the information given",
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"content": "any ideas how to solve this ?",
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"id": 907234528593051600,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 06:46:07",
"content": "What are c1 and c2?",
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"author_id": 252911447653351420,
"author_name": "ilav",
"timestamp": "11/08/2021 06:59:59",
"content": "we don't know it",
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"id": 907238079419514900,
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"content": "its a linear programming problem",
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"author_name": "ilav",
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"content": "c1, c4 and A_B^-1 is known",
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"timestamp": "11/08/2021 07:02:03",
"content": "and ive no idea how to get A, B... or what ever...\n\n\nI know how you get A_B of A...\n\n\nB = for example tells you which vectors to take out of the matrix A depending on the basic solution for example\n\nB = {1,4} => take 1st and 4th column vector of A and then you have A_B\n\n\nA_B^1 is the inverse I guess",
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"timestamp": "11/08/2021 07:17:03",
"content": "@ilav Has your question been resolved?",
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"content": "can you translate the problem for us?",
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] | help-10 | 616c7570279243d290e1833f6e13f107 |
1,014 | [
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"content": "Does that statement make sense to anybody",
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1,015 | [
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1,016 | [
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"content": "help me",
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"content": "help me",
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"id": 948934901560934400,
"author_id": 456226577798135800,
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"content": "What's your question?",
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"content": "transalate Ba năm trước, cha hơn con 30 tuổi. Hai năm nữa tổng số tuổi của 2 cha con là 52. Tính\ntuổi hiện nay của mỗi người?",
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"content": "English only please",
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"content": "the answer is 42",
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"content": "i dont have time ,my homework due 9",
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"timestamp": "03/03/2022 08:29:34",
"content": "o clock",
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"content": "We can't help you if us english speakers can't understand the problem",
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"content": "hmm",
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"content": "i can transalate",
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"timestamp": "03/03/2022 08:31:12",
"content": "3 years ago dad age was more then son age by 30 years",
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"content": "There's more to translate right",
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"content": "umm no need anymore",
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"content": "i solve it",
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"content": "@Wikipedia Has your question been resolved?",
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] | help-10 | 970bc676240d4fdb9b2713a5a2541d97 |
1,017 | [
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"content": "also i got it wrong",
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"content": "and i got an B",
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1,018 | [
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"content": "quick question. I'm in Calc III and my textbook states the statement seen in the image. my question is, why can't the maximum also occur when theta=pi, as in when vector u is antiparallel to the gradient vector?",
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"content": "nevermind, figured it out",
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"content": ".close",
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"id": 948979110267482100,
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"timestamp": "03/03/2022 11:24:11",
"content": "Channel closed",
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}
] | help-10 | 243ef73522674be48b0c193456fdf088 |
102 | [
{
"id": 905574524622340100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2021 17:49:51",
"content": "Available help channel!",
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},
{
"id": 905575041289294000,
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"timestamp": "11/03/2021 18:06:54",
"content": "@serpie Has your question been resolved?",
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"content": "its resolved now",
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"content": "Channel closed",
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}
] | help-10 | e145a30219f2442683b239c710c41294 |
1,020 | [
{
"id": 948981337849737200,
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"content": "Available help channel!",
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},
{
"id": 948990034411933700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 12:07:35",
"content": "Pinned a message.",
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"author_id": 805217272087838700,
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"timestamp": "03/03/2022 12:22:41",
"content": "@vo Has your question been resolved?",
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"author_name": "Omegabet_",
"timestamp": "03/03/2022 12:28:35",
"content": "Say what they're used for",
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"timestamp": "03/03/2022 12:30:02",
"content": "Look at examples in your notes",
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"author_name": "Omegabet_",
"timestamp": "03/03/2022 12:30:39",
"content": "The question is for you to write in your own words... if I just tell you the answer you're not answering the question correctly",
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"id": 949007576157261800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 13:17:17",
"content": "@vo Has your question been resolved?",
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"id": 949007931733573600,
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"author_name": "ricey",
"timestamp": "03/03/2022 13:18:42",
"content": "",
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"id": 949007953996959900,
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"timestamp": "03/03/2022 13:18:47",
"content": "consider above as a use case",
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"id": 949007998695657500,
"author_id": 160342252546162700,
"author_name": "ricey",
"timestamp": "03/03/2022 13:18:58",
"content": "the red curve is always the curve of a quadratic",
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"id": 949008012171948000,
"author_id": 160342252546162700,
"author_name": "ricey",
"timestamp": "03/03/2022 13:19:01",
"content": "see how you can use this fact",
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"timestamp": "03/03/2022 13:47:17",
"content": "Channel closed",
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}
] | help-10 | 73ad03c8b4134602b16851b64f24bd05 |
1,021 | [
{
"id": 949021013620973600,
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"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 14:10:41",
"content": "Available help channel!",
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},
{
"id": 949023159447859200,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:19:13",
"content": "State true or false with proof; “Between two numbers n and 2n there exists at least 1 prime number.”",
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"id": 949023162258059300,
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"content": "Pinned a message.",
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"id": 949023362515095700,
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"author_name": "Shallow.",
"timestamp": "03/03/2022 14:20:01",
"content": "For all n > 1",
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},
{
"id": 949023450629046300,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/03/2022 14:20:22",
"content": "There are probably proofs of this online somewhere",
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},
{
"id": 949023464080175100,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/03/2022 14:20:25",
"content": "I personally don't know it",
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"id": 949023492056170600,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:20:32",
"content": "between 100 and 200 are more than one single prime number?",
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:21:01",
"content": "providing proof by contradiction should be good",
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"id": 949023621416906900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:21:03",
"content": "right?",
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"id": 949023646725308400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:21:09",
"content": "you have 101 and 103",
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{
"id": 949023648512102400,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/03/2022 14:21:09",
"content": "Actually this ^^",
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"id": 949023670368608300,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/03/2022 14:21:15",
"content": "I just didn't think about this hehe",
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"id": 949023685170319400,
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:21:18",
"content": "yeah",
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{
"id": 949023766091034800,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:21:37",
"content": "its kind of deceiving to think about small numbers",
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"id": 949023774206984200,
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"author_name": "Shallow.",
"timestamp": "03/03/2022 14:21:39",
"content": "It’s atleast*",
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"id": 949023905148977200,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/03/2022 14:22:10",
"content": "That's why pictures are so important",
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"timestamp": "03/03/2022 14:22:16",
"content": "makes sense actually",
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"id": 949023965676982300,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:22:25",
"content": ":blobsweat:",
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{
"id": 949024026095923200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:22:39",
"content": "when you say between 2 and 2n",
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"id": 949024076826046500,
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:22:51",
"content": "that means we exclude n and 2n",
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"id": 949024084170260500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:22:53",
"content": "?",
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"id": 949024131226149000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:23:04",
"content": "Including",
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"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:23:29",
"content": "does n have to be an integer?",
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"id": 949024513042038800,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:24:35",
"content": ":holothink:",
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"id": 949024589487431700,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:24:54",
"content": "Does it matter :catthonk:",
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"id": 949024631472394400,
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:25:04",
"content": "it doesnt",
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"id": 949025223976566900,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:27:25",
"content": "I don’t think we can solve it, can we?",
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"id": 949025643121758200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:29:05",
"content": "i dont really have anything in mind",
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},
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"id": 949027172834754600,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:35:10",
"content": "@Helpers",
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},
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"id": 949027257626816500,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:35:30",
"content": "._.",
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"id": 949027376694706200,
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:35:58",
"content": "i dont think thats a real question",
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"id": 949027533221924900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:36:35",
"content": "its either false; to prove that you need a case where it happens, which i dont think is likely",
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"id": 949027578679812100,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:36:46",
"content": "or its true; where you need a written proof, and i have no clue",
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"id": 949027581158641700,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:36:47",
"content": "it's totally true tho-",
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"id": 949027590419652600,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:36:49",
"content": "lol yeah",
"attachments": [],
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},
{
"id": 949027605779198100,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:36:53",
"content": "how come?",
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{
"id": 949027618278215700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:36:56",
"content": "lol",
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"id": 949027719906218000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:37:20",
"content": "Let n = p_1^a p_2^b p_3^c p_4^d ... p_k^n, 2n = 2p_1^ p_2^ p_3^ p_4^ ... p_k^",
"attachments": [],
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"id": 949027731109216400,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:37:23",
"content": "mm ._.",
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{
"id": 949027827590791300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:37:46",
"content": "$Let n = p_1^a p_2^b p_3^c p_4^d ... p_k^n, 2n = 2p_1^ p_2^ p_3^ p_4^ ... p_k^$",
"attachments": [],
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"id": 949027837564817500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/03/2022 14:37:48",
"content": "**Kotoboki**\n```latex\n$Let n = p_1^a p_2^b p_3^c p_4^d ... p_k^n, 2n = 2p_1^ p_2^ p_3^ p_4^ ... p_k^$\n```Compilation error:```! Double subscript.\nl.55 ...p_2^b p_3^c p_4^d ... p_k^n, 2n = 2p_1^ p_\n 2^ p_3^ p_4^ ... p_k^$\nI treat `x_1_2' essentially like `x_1{}_2'.```",
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"id": 949027856887980000,
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"author_name": "Ansh_",
"timestamp": "03/03/2022 14:37:53",
"content": "Lmao just giving it a thought",
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"id": 949027868262936600,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:37:55",
"content": "Lol",
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"id": 949027884813660300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:37:59",
"content": "heh",
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},
{
"id": 949028091827724300,
"author_id": 740938819125248100,
"author_name": "idioticbaka1824",
"timestamp": "03/03/2022 14:38:49",
"content": "https://en.wikipedia.org/wiki/Proof_of_Bertrand%27s_postulate",
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"id": 949028153739837400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:39:03",
"content": "How does it help?",
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"id": 949028448121270400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:40:14",
"content": "Lmao I don’t get a single thing",
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"timestamp": "03/03/2022 14:40:33",
"content": "lmao me neither",
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"id": 949028578706731000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:40:45",
"content": "then your question probably should not have the \"state with proof\"",
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"id": 949028582309638300,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:40:46",
"content": "lmao",
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"id": 949028732088250400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:41:21",
"content": "Lol",
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"id": 949028769673400300,
"author_id": 740938819125248100,
"author_name": "idioticbaka1824",
"timestamp": "03/03/2022 14:41:30",
"content": "your teacher wanted you to be the next Dantzig",
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"id": 949028826858553300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:41:44",
"content": "he said at least one prime not at most",
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"timestamp": "03/03/2022 14:41:57",
"content": "how does it even work!!!",
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"id": 949028903534600300,
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"timestamp": "03/03/2022 14:42:02",
"content": "?",
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"id": 949028974070210700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:42:19",
"content": "*besides* the proof",
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"author_name": "hiromichi",
"timestamp": "03/03/2022 14:42:22",
"content": "what do you think guys?",
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"id": 949029042974249000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/03/2022 14:42:35",
"content": "is it true or false",
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"id": 949029136926646400,
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"author_name": "Shallow.",
"timestamp": "03/03/2022 14:42:58",
"content": "Ig this implies to be true :catshrug:",
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"timestamp": "03/03/2022 14:43:06",
"content": "But i too dk",
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"timestamp": "03/03/2022 14:43:32",
"content": "It's true ._.",
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"timestamp": "03/03/2022 14:45:35",
"content": "I think proof is based on number theory _cause thats what lecture was about _",
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"content": "Lol",
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"timestamp": "03/03/2022 14:52:02",
"content": "@Helpers 🙄",
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"author_name": "riemann",
"timestamp": "03/03/2022 14:53:55",
"content": "this is essentially the simplest proof",
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"timestamp": "03/03/2022 14:54:58",
"content": "Why do we take 468?",
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"timestamp": "03/03/2022 14:55:30",
"content": "near the bottom\nhttps://sites.math.washington.edu/~mathcircle/circle/2013-14/advanced/mc-13a-w10.pdf",
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"id": 949032784587030500,
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"author_name": "Shallow.",
"timestamp": "03/03/2022 14:57:28",
"content": "Ohh cool",
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"id": 949032813741609000,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 14:57:34",
"content": "Thanks @riemann",
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"author_name": "Ansh_",
"timestamp": "03/03/2022 14:58:23",
"content": "because 469 is the second smallest number such that the sum of digits is the difference of two consecutive cubes",
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"id": 949033029836353700,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:58:26",
"content": "after 7",
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"id": 949033322569412700,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 14:59:36",
"content": "$(4 + 6 + 8) = 3^3 - 2^3 - 1^3$",
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"id": 949033488517042300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/03/2022 15:00:15",
"content": "**Ansh**",
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"id": 949033581181808600,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:00:37",
"content": "?!?",
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"id": 949033584730181800,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:00:38",
"content": "_mwahahahaha_",
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"id": 949033661439819900,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:00:57",
"content": "What?",
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"id": 949033708818690000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:01:08",
"content": "wdym what lmao",
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"id": 949033752640749600,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:01:18",
"content": "Why 4+6+8?",
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"id": 949033843623624700,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:01:40",
"content": ":catKing:",
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{
"id": 949033924628209700,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:01:59",
"content": "Why do we need sum of digits here?",
"attachments": [],
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},
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"id": 949033951601758200,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:02:06",
"content": "I don’t get it?",
"attachments": [],
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},
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"id": 949034074486493300,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:02:35",
"content": "I'm jk lol. Found an interesting thing so shared it >_<",
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"id": 949034138629980200,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:02:50",
"content": "The n < 468 comes from the computation above(in wiki / what riemann shared). Please check (@_@;)",
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"id": 949034202630860900,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:03:06",
"content": "You son of a I really started connecting dots",
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"id": 949034234927005700,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:03:13",
"content": "Lmao",
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"id": 949034253608427600,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:03:18",
"content": "Lmfao",
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"id": 949034256020148200,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:03:18",
"content": "Oh",
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"id": 949034389227065300,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 15:03:50",
"content": "@riemann lmfao >_<",
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"id": 949034437268631600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/03/2022 15:04:02",
"content": "helpers give'th, helpers take'th",
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"id": 949034598833225900,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:04:40",
"content": ":NervousSweat:",
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"id": 949034685986668700,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:05:01",
"content": "Anyways thanks",
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},
{
"id": 949034701425885200,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "03/03/2022 15:05:05",
"content": ".close",
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{
"id": 949034702973583400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 15:05:05",
"content": "Channel closed",
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] | help-10 | c3762e7efb7b49069e7e2522916c21f5 |
1,022 | [
{
"id": 949068772386422800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:20:28",
"content": "Available help channel!",
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},
{
"id": 949070628273664000,
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"content": "Pinned a message.",
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"id": 949070683864956900,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/03/2022 17:28:03",
"content": "Question?",
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{
"id": 949070815398338600,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:28:35",
"content": "Given is the function f(x) = 6x - 2x √ x\nSee the graph. The tangent of the graph of f is horizontal. Calculate the coordinates of T.",
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{
"id": 949070836785119200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:28:40",
"content": "Here is what I have done:",
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"id": 949070995883438100,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/03/2022 17:29:18",
"content": "Oh thats easy at least if you use calculus",
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"id": 949071012975214700,
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"timestamp": "03/03/2022 17:29:22",
"content": "",
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"id": 949071023742025900,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:29:24",
"content": "Is this correct?",
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},
{
"id": 949071095326187500,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/03/2022 17:29:42",
"content": "f = f(x) = 6x - 2x √ x?",
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"id": 949071119099519000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/03/2022 17:29:47",
"content": "I mean we can see if it is",
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{
"id": 949071157821325300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:29:56",
"content": "Yes",
"attachments": [],
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},
{
"id": 949071181103919200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:02",
"content": "Oh okay",
"attachments": [],
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},
{
"id": 949071187349217300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:03",
"content": "How?",
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{
"id": 949071190788567000,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:30:04",
"content": "Use the product rule",
"attachments": [],
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},
{
"id": 949071268399951900,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:23",
"content": "U mean to differentiate?",
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},
{
"id": 949071322665852900,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/03/2022 17:30:36",
"content": "Do you want to know if you are right?",
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},
{
"id": 949071337643733000,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:39",
"content": "Yes",
"attachments": [],
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},
{
"id": 949071348657959000,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/03/2022 17:30:42",
"content": "You are",
"attachments": [],
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},
{
"id": 949071374863986700,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:48",
"content": "Oh okay",
"attachments": [],
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},
{
"id": 949071384213090300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:30:50",
"content": "Thnx",
"attachments": [],
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},
{
"id": 949071448008433700,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:31:06",
"content": "Have a nice day!",
"attachments": [],
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},
{
"id": 949071480174555100,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:31:13",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 949071481516728300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:31:14",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | 066743ed465445d089a6e721b69de84d |
1,023 | [
{
"id": 949071516434321500,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:31:22",
"content": "It's not correct",
"attachments": [],
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},
{
"id": 949071553142882400,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:31:31",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 949071557551071400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:31:32",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 949071564501024800,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:31:33",
"content": "At least the derivative",
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},
{
"id": 949071578904268800,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:31:37",
"content": "Oh",
"attachments": [],
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},
{
"id": 949071636127158300,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/03/2022 17:31:50",
"content": "I mean you got right answer just not done right",
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},
{
"id": 949071658327609300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:31:56",
"content": "Oh",
"attachments": [],
"mentions": [],
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},
{
"id": 949071734936567800,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:32:14",
"content": "Oh i shouldn’t have negative exponent in my derivative right?",
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},
{
"id": 949071786467799000,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:32:26",
"content": "You can't differentiate the 2x and x^(1/2) separately. You have to use the product rule",
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"id": 949071827861385300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:32:36",
"content": "Ohh",
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"id": 949072070472519700,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:33:34",
"content": "The only reason something like d/dx 6x^2 = 6 d/dx x^2 is because d/dx of a constant is 0. But it's the product rule anyways",
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"id": 949072195957690400,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:04",
"content": "Oh so i shoudl group the 2x √ x",
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},
{
"id": 949072215956156400,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:09",
"content": "In an exponent",
"attachments": [],
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},
{
"id": 949072251406385200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:17",
"content": "Instead of separate",
"attachments": [],
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},
{
"id": 949072294184124400,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:27",
"content": "And then product rule?",
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},
{
"id": 949072295178149900,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:34:28",
"content": "Yes",
"attachments": [],
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},
{
"id": 949072334881456300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:37",
"content": "Okay then i will fix it",
"attachments": [],
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"reference": null
},
{
"id": 949072348148031500,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:40",
"content": "But i have to go now",
"attachments": [],
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},
{
"id": 949072360269553700,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:43",
"content": "Thank you for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 949072383728308200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:34:49",
"content": "Have a nice day!!",
"attachments": [],
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"reference": null
},
{
"id": 949072405396070400,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "03/03/2022 17:34:54",
"content": "You can group the exponent into 2x^(3/2)",
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},
{
"id": 949072449385951200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:35:04",
"content": "Ah yes i see",
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},
{
"id": 949072470424584300,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:35:09",
"content": "Then use product rule",
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},
{
"id": 949072502565511200,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:35:17",
"content": "Thanks 😊",
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},
{
"id": 949072640050618400,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:35:50",
"content": "Have a nice day, bye!",
"attachments": [],
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"reference": null
},
{
"id": 949072648103673900,
"author_id": 801077586926501900,
"author_name": "blue™",
"timestamp": "03/03/2022 17:35:52",
"content": ".close",
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},
{
"id": 949072650062426200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:35:52",
"content": "Channel closed",
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}
] | help-10 | a7515a4f1d0847be8f3c474edd8830ea |
1,024 | [
{
"id": 907246343381188600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 07:33:04",
"content": "Available help channel!",
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},
{
"id": 907250159874900000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 07:48:14",
"content": "can someone please give me a clear proof for the following question?\nif q = (a^2+b^2)/(ab+1) prove that q is a perfect square if a, b and q are non negative integers.",
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{
"id": 907250162034954200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 07:48:14",
"content": "Pinned a message.",
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"id": 907251318442299400,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 07:52:50",
"content": "Did you try adding and subtracting 2",
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"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 07:53:26",
"content": "does that help though?",
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},
{
"id": 907251617701691400,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 07:54:01",
"content": "denominator's (ab+1) so...",
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},
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"id": 907251783674495000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 07:54:41",
"content": "Idk yet",
"attachments": [],
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{
"id": 907252146867691500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 07:56:07",
"content": "i saw a proof but it was one that no one can think of on their own",
"attachments": [],
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"reference": null
},
{
"id": 907252286810624000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 07:56:41",
"content": "Oh lol",
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},
{
"id": 907252828366581800,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 07:58:50",
"content": "its from IMO btw",
"attachments": [],
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},
{
"id": 907253233083351000,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 08:00:26",
"content": "Oh ofc",
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{
"id": 907256162624340000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:12:05",
"content": "i've edited the question btw",
"attachments": [],
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},
{
"id": 907256195159568500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:12:12",
"content": "q is also a non negative integer",
"attachments": [],
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"reference": null
},
{
"id": 907256222661623800,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:12:19",
"content": "sorry about that",
"attachments": [],
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},
{
"id": 907256444691308500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:13:12",
"content": "here",
"attachments": [],
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},
{
"id": 907256498793635800,
"author_id": 734794827077648600,
"author_name": "yes sam",
"timestamp": "11/08/2021 08:13:25",
"content": "Ok",
"attachments": [],
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},
{
"id": 907260220546359300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 08:28:12",
"content": "@rinne Has your question been resolved?",
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{
"id": 907260363865735200,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:28:46",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 907265197415203000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:47:59",
"content": "please help @Helpers",
"attachments": [],
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"reference": null
},
{
"id": 907266125337858200,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:51:40",
"content": "uhm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907266418620371000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 08:52:50",
"content": "can someone please give me a clear proof for the following question?\nif q = (a^2+b^2)/(ab+1) prove that q is a perfect square if a, b and q are non negative integers.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907271903583031300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "11/08/2021 09:14:38",
"content": ":sully:",
"attachments": [],
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"reference": null
},
{
"id": 907271933249355800,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "11/08/2021 09:14:45",
"content": "Problem 6 moment",
"attachments": [],
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"reference": null
},
{
"id": 907272439480860700,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:16:45",
"content": "yea lol",
"attachments": [],
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},
{
"id": 907272565570019500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:17:15",
"content": "i still havent come across an easy-to-understand proof",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907273672820133900,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:21:39",
"content": "@Helpers pls reply",
"attachments": [],
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"reference": null
},
{
"id": 907273830341423100,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:22:17",
"content": "should i close it? Cos i know this question has been a headache for mostly everyone who tried it",
"attachments": [],
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},
{
"id": 907273894350684200,
"author_id": 244755340653101060,
"author_name": "axis",
"timestamp": "11/08/2021 09:22:32",
"content": "don't continuously ping the helpers",
"attachments": [],
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"reference": null
},
{
"id": 907273905155211300,
"author_id": 244755340653101060,
"author_name": "axis",
"timestamp": "11/08/2021 09:22:35",
"content": "it will stack",
"attachments": [],
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"reference": null
},
{
"id": 907273918145003500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:22:38",
"content": "oh",
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},
{
"id": 907273935014461400,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:22:42",
"content": "sorry bout that",
"attachments": [],
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},
{
"id": 907273974994583600,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:22:51",
"content": "i didnt know",
"attachments": [],
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},
{
"id": 907278056039804900,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 09:39:04",
"content": "which ones are not easy to understand for you",
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{
"id": 907278149144957000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:39:27",
"content": "the graph one",
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},
{
"id": 907278784422617100,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 09:41:58",
"content": "i also found the normal proof (using inequalities) hard, but i understood that",
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},
{
"id": 907282125718442100,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 09:55:15",
"content": "imo easiest one is with actual division",
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},
{
"id": 907282333655240700,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 09:56:04",
"content": "you just divide (a^2+b^2)/(ab+1) using long division you get some sort of remainder, you set remainder = 0 as it is divisible and you get a=b^3 you put back in and it simplifies to b^2",
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{
"id": 907282672022351900,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 09:57:25",
"content": "^",
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"id": 907283490993737700,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:00:40",
"content": "how exactly does it become b^3?",
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},
{
"id": 907283561646784500,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 10:00:57",
"content": "divide (a^2+b^2)/(ab+1)",
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},
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"id": 907286484665655300,
"author_id": 866420537819136000,
"author_name": "matth",
"timestamp": "11/08/2021 10:12:34",
"content": "you would get a/b and remainder of b^2-a/b and you can confirm that a^2+b^2=(ab+1) * a/b+ b^2-a/b but you know that the division must have no remainder so b^2 -a/b=0 so b^3=a you put a=b^3 to the original and get that q=(b^6+b^2)/(b^4+1) using long division you get q=b^2",
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{
"id": 907286627532030000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:13:08",
"content": "niiicceee",
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},
{
"id": 907286648209961000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:13:13",
"content": "thanks man",
"attachments": [],
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},
{
"id": 907286715742445600,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:13:29",
"content": "lol it was right under my nose the entire time wtf",
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},
{
"id": 907286932827037700,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:14:21",
"content": "and i was tryin this using inequalities 🤣",
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{
"id": 907287048396865500,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:14:48",
"content": "thanks again",
"attachments": [],
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},
{
"id": 907287061470535800,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "11/08/2021 10:14:52",
"content": ".close",
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},
{
"id": 907287062716223500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 10:14:52",
"content": "Channel closed",
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}
] | help-10 | d22c8469c51042cab423051b890d8603 |
1,025 | [
{
"id": 949072707935408100,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/03/2022 17:36:06",
"content": "Then you use power rule",
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},
{
"id": 949074076633284600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:41:32",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 949076489926758400,
"author_id": 207696228035592200,
"author_name": "thatlizarddude",
"timestamp": "03/03/2022 17:51:08",
"content": "Hey, does anyone know what I'm doing wrong in this problem?",
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"author_name": "Mathematics Bot",
"timestamp": "03/03/2022 17:51:08",
"content": "Pinned a message.",
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"author_id": 207696228035592200,
"author_name": "thatlizarddude",
"timestamp": "03/03/2022 17:51:26",
"content": "Here's what I did:",
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"timestamp": "03/03/2022 18:06:26",
"content": "@thatlizarddude Has your question been resolved?",
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"content": "@thatlizarddude Has your question been resolved?",
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"content": "@thatlizarddude Has your question been resolved?",
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"timestamp": "03/03/2022 21:46:02",
"content": "@thatlizarddude Has your question been resolved?",
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"id": 949151166028210300,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "03/03/2022 22:47:52",
"content": "In the answer in the problem, it only has 4 rows",
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"timestamp": "03/03/2022 22:48:20",
"content": "If you can enter 5 rows, you should",
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"id": 949166574194012200,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/03/2022 23:49:05",
"content": "aren't a_1, a_2, a_3, a_4, a_5 column vectors? what do you think you're doing",
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"content": "You're supposed to rref this one ._.",
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"id": 949168290813599700,
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"timestamp": "03/03/2022 23:55:55",
"content": "**Ansh**",
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"timestamp": "03/04/2022 01:31:55",
"content": "that worked, though I have no idea how you came up with that \\:/",
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"content": "Whoa is that an iPad",
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"content": "yup",
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"content": "@thatlizarddude Has your question been resolved?",
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"author_name": "Shuri2060",
"timestamp": "03/04/2022 06:53:36",
"content": "You probably read your vectors the wrong way or something?",
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"timestamp": "03/04/2022 10:40:26",
"content": "Channel closed",
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}
] | help-10 | 497869d9e8e844c4941c725f40ee5456 |
1,026 | [
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"author_name": "Mathematics Bot",
"timestamp": "03/04/2022 10:41:26",
"content": "Available help channel!",
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"id": 949331496571916300,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:44:26",
"content": "hello currently stuck at this question",
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"content": "Pinned a message.",
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"id": 949332756125593600,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:49:26",
"content": "This is one is rather easy",
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},
{
"id": 949332788828581900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:49:34",
"content": "We have",
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},
{
"id": 949332882181222400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:49:56",
"content": "The function that represents the freezing temperature with respect to salt percentage",
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},
{
"id": 949332907217023000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:50:02",
"content": "Let's call it f(s)",
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},
{
"id": 949332954079965200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:50:14",
"content": "We have that f(0) =0",
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{
"id": 949332997344215000,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:50:24",
"content": "okay",
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},
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"id": 949333037018132500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:50:33",
"content": "And f(23.3) =-21.1",
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},
{
"id": 949333123475321000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:50:54",
"content": "Do you know whats the equation of a line?",
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},
{
"id": 949333188596101100,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:51:09",
"content": "no i do not",
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},
{
"id": 949333203230011400,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:51:13",
"content": "wtf",
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},
{
"id": 949333227213058000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:51:19",
"content": "It's y=mx+b",
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},
{
"id": 949333244879462400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:51:23",
"content": "Y in this case is f",
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},
{
"id": 949333256183103500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:51:26",
"content": "And x is s",
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},
{
"id": 949333300915355800,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:51:36",
"content": "So it's f=ms+b",
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},
{
"id": 949333360105365500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:51:50",
"content": "B represents the value of y coordinate when x is 0",
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},
{
"id": 949333413192683500,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:52:03",
"content": "And this would be the equation for it correct?",
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},
{
"id": 949333446109581300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:52:11",
"content": "That means, the f value when s is 0",
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},
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"id": 949333470113566800,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:52:17",
"content": "Yep",
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"id": 949333485863190500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:52:20",
"content": "It's called a linear",
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},
{
"id": 949333562157576200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:52:38",
"content": "Do you know what's this one?",
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},
{
"id": 949333686619344900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:53:08",
"content": "The freezing point of 0℅ salt",
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},
{
"id": 949333706747838600,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:53:13",
"content": "uhh no not rlly",
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},
{
"id": 949333737215238300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:53:20",
"content": ".. It's in the question",
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},
{
"id": 949333897777397800,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:53:59",
"content": "it would freeze at -21.1",
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},
{
"id": 949334229030940700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:55:17",
"content": "Oh",
"attachments": [],
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},
{
"id": 949334252850389000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:55:23",
"content": "At 0℅ salt?",
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},
{
"id": 949334395083423700,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:55:57",
"content": "oh wair nvm it would freeze at 0.0",
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},
{
"id": 949334527321444500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:56:29",
"content": "Great",
"attachments": [],
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},
{
"id": 949334544971100200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:56:33",
"content": "So b is 0",
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},
{
"id": 949334558002794500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:56:36",
"content": "Now we need m",
"attachments": [],
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},
{
"id": 949334600675643400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:56:46",
"content": "M is the slope",
"attachments": [],
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"reference": null
},
{
"id": 949334618585301000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:56:50",
"content": "Ever heard of that?",
"attachments": [],
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"reference": null
},
{
"id": 949334669743231000,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:57:03",
"content": "yeah",
"attachments": [],
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"reference": null
},
{
"id": 949334784960774300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:57:30",
"content": "Do you know the equation of a slope?",
"attachments": [],
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"reference": null
},
{
"id": 949335031984291800,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:58:29",
"content": "m = y2 - y1",
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},
{
"id": 949335105959248000,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 10:58:47",
"content": "over x2 - x1",
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},
{
"id": 949335129824833700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:58:52",
"content": "Yes",
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},
{
"id": 949335176125763700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:59:03",
"content": "The difference in freezing over the difference in salt",
"attachments": [],
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"reference": null
},
{
"id": 949335251585478700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:59:21",
"content": "We need two freezing values and two salt percentages from. The question",
"attachments": [],
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},
{
"id": 949335272888369200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:59:26",
"content": "One of both is 0",
"attachments": [],
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"reference": null
},
{
"id": 949335326147625000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:59:39",
"content": "So x1 is 0 and y1 is 0",
"attachments": [],
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},
{
"id": 949335345646936000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 10:59:44",
"content": "We need x2 and y2",
"attachments": [],
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},
{
"id": 949335422834733000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:00:02",
"content": "A non-zero freezing point given in the question",
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},
{
"id": 949335707317571700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:01:10",
"content": "The number you said earlier",
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},
{
"id": 949335725923532800,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:01:14",
"content": "the x2 and y2 would be 0?",
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},
{
"id": 949335747964579800,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:01:20",
"content": "No",
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},
{
"id": 949335776561340400,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:01:26",
"content": "oh 21",
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},
{
"id": 949335799990739000,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:01:32",
"content": "-21.1",
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},
{
"id": 949335886141747200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:01:53",
"content": "We have the difference between two freezing points DIVIDED by the difference between their *respective* salt concentration",
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},
{
"id": 949335959357521900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:02:10",
"content": "The 2 freezing points given are 0 and -21. 1",
"attachments": [],
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},
{
"id": 949336047035236400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:02:31",
"content": "The respective salt concentration is 0 and 23.3",
"attachments": [],
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},
{
"id": 949336057726513300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:02:33",
"content": "In order",
"attachments": [],
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},
{
"id": 949336122775961700,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:02:49",
"content": "so x2 and y2 wouod be 23.3 ?",
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},
{
"id": 949336224244564000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:03:13",
"content": "X2 would be 23.3",
"attachments": [],
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},
{
"id": 949336251209752700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:03:20",
"content": "Y2 would be -21. 1",
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},
{
"id": 949336292620112000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:03:29",
"content": "Y is the freezing point",
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},
{
"id": 949336316821250000,
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"timestamp": "03/04/2022 11:03:35",
"content": "And x is the salt concentration",
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"id": 949336391886725100,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:03:53",
"content": "We have 0 freezing point for 0 concentration",
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"id": 949336431980069000,
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"timestamp": "03/04/2022 11:04:03",
"content": "And -21. 1 freezing for 23.3 concentration",
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"timestamp": "03/04/2022 11:04:16",
"content": "We divide the freezing over concentration",
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"id": 949336518076551300,
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"timestamp": "03/04/2022 11:04:23",
"content": "So its",
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"id": 949336602537263200,
"author_id": 872859024985587800,
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"timestamp": "03/04/2022 11:04:43",
"content": "(-21.1-0)/(23.3-0)",
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"id": 949336670417862700,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:05:00",
"content": "alrighr yeah",
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"id": 949336686729494500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:05:03",
"content": "You need to understand the slope equation",
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"id": 949336759802675300,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:05:21",
"content": "Take two values from y and the two values of their x",
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"id": 949336783672442900,
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"timestamp": "03/04/2022 11:05:27",
"content": "And do the difference then divide",
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"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:05:28",
"content": "Anyway",
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"id": 949336824860516400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:05:36",
"content": "Here we are substracting 0",
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"id": 949336844489863200,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:05:41",
"content": "So it doesn't matter",
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"timestamp": "03/04/2022 11:05:48",
"content": "-21. 1/23.3",
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"timestamp": "03/04/2022 11:05:51",
"content": "Is our slope",
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"timestamp": "03/04/2022 11:06:17",
"content": "So f=-21.1s/23.3",
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"timestamp": "03/04/2022 11:06:24",
"content": "That's our equation",
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"author_name": "summy",
"timestamp": "03/04/2022 11:06:29",
"content": "yep got it",
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:06:42",
"content": "You can plug more numbers to find other values",
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"id": 949337152112693200,
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"timestamp": "03/04/2022 11:06:54",
"content": "Like 34.2",
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"id": 949337233092141000,
"author_id": 895774925669953700,
"author_name": "summy",
"timestamp": "03/04/2022 11:07:14",
"content": "i see",
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"id": 949337254881542100,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:07:19",
"content": "We need the freezing point for 34.2℅ concentration",
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"id": 949337267787423700,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:07:22",
"content": "Can you do that?",
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"author_name": "summy",
"timestamp": "03/04/2022 11:07:52",
"content": "would u have to plug in 21.1",
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"author_name": "summy",
"timestamp": "03/04/2022 11:07:59",
"content": "since 23.3 would be the concentration",
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"id": 949337521689596000,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:08:23",
"content": "S refers to salt",
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:08:27",
"content": "F refers to freezing",
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{
"id": 949337563817209900,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:08:33",
"content": "Which one do we have?",
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"id": 949337613725216900,
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"author_name": "summy",
"timestamp": "03/04/2022 11:08:44",
"content": "F",
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},
{
"id": 949337648605036500,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:08:53",
"content": "You sure?",
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{
"id": 949337679655481300,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:09:00",
"content": "I said 34.2℅",
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},
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"id": 949337719564296200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:09:10",
"content": "Is ℅ the unit for freezing?",
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"id": 949337729655779300,
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"timestamp": "03/04/2022 11:09:12",
"content": "Oh S cus we need F",
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"id": 949337746030334000,
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"timestamp": "03/04/2022 11:09:16",
"content": "Yeah",
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"id": 949337763390578700,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:09:20",
"content": "So we plug s",
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{
"id": 949337775155605500,
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"timestamp": "03/04/2022 11:09:23",
"content": "And solve for f",
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"id": 949337835939434600,
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:09:37",
"content": "If we had freezing( coming right in the third question)",
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"timestamp": "03/04/2022 11:09:41",
"content": "We plug f and solve for s",
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{
"id": 949337860132192300,
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"timestamp": "03/04/2022 11:09:43",
"content": "Anyway",
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"id": 949337899596382200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "03/04/2022 11:09:53",
"content": "Plug in 34.2 and solve for f",
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"author_name": "summy",
"timestamp": "03/04/2022 11:11:45",
"content": "would it be 21.1 / 34.2",
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"id": 949338639106711700,
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"timestamp": "03/04/2022 11:12:49",
"content": "Look at the equation we made",
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"id": 949338676163412100,
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"timestamp": "03/04/2022 11:12:58",
"content": "So f=-21.1s/23.3",
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"timestamp": "03/04/2022 11:13:03",
"content": "Plug in s",
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"timestamp": "03/04/2022 11:13:05",
"content": "Replace s",
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:13:09",
"content": "Don't touch anything else",
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"author_name": "hiromichi",
"timestamp": "03/04/2022 11:13:22",
"content": "Just remove s and put your concentration instead of it",
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"id": 949339285276999700,
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"author_name": "summy",
"timestamp": "03/04/2022 11:15:23",
"content": "so replace it with 34.2?",
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"id": 949339414688047100,
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"timestamp": "03/04/2022 11:15:54",
"content": "Yeah",
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"id": 949339451610501100,
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"timestamp": "03/04/2022 11:16:03",
"content": "34.2 /23.3",
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"id": 949339479687168000,
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"timestamp": "03/04/2022 11:16:09",
"content": "Uh?",
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"id": 949339490848215000,
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"timestamp": "03/04/2022 11:16:12",
"content": "No",
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"id": 949339562935713900,
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"timestamp": "03/04/2022 11:16:29",
"content": "You have",
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"id": 949339683140304900,
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"timestamp": "03/04/2022 11:16:58",
"content": "(-21.1 × ***S*** ) ÷ 23.3",
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"timestamp": "03/04/2022 11:17:19",
"content": "Only plug in s",
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"id": 949339806125682800,
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"timestamp": "03/04/2022 11:17:27",
"content": "Please",
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"timestamp": "03/04/2022 11:18:49",
"content": "ook i got it",
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"content": "@summy Has your question been resolved?",
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] | help-10 | a0739f1db2b44095a3896aa16e9b2080 |
1,027 | [
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"content": "$P(A|B) = \\frac{P(A\\cap B)}{P(B)}$",
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"content": "**Zybikron**",
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"content": "So if $\\mu$ is the mean and $m$ is the median then this is asking $P(\\mu\\leq x\\leq m\\mid \\mu\\leq x)$",
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] | help-10 | faa394afea9342a5a289a20e9848d026 |
1,028 | [
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"timestamp": "03/04/2022 14:16:57",
"content": "Split the sum: $\\sum_{i=1}^{52} (m_i-150) = \\sum_{i=1}^{52} m_i - \\sum_{i=1}^{52} 150$",
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"timestamp": "03/04/2022 14:17:24",
"content": "What would i do next",
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"timestamp": "03/04/2022 14:17:46",
"content": "do you know the formula for mean?",
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"timestamp": "03/04/2022 14:18:06",
"content": "Sum of masses of apples / number of apples",
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"timestamp": "03/04/2022 14:18:11",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:18:22",
"content": "write this in summation notation",
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"timestamp": "03/04/2022 14:18:35",
"content": "I don't know how to use the discord bot to do that",
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"timestamp": "03/04/2022 14:18:46",
"content": "paper's fine",
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"author_name": "Remavas",
"timestamp": "03/04/2022 14:18:52",
"content": "~~or mspaint~~",
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"timestamp": "03/04/2022 14:19:05",
"content": "does your formula for mean look similar to something in this equation?",
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"timestamp": "03/04/2022 14:19:11",
"content": "1 sc",
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"timestamp": "03/04/2022 14:19:13",
"content": "i'll send",
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"author_name": "riemann",
"timestamp": "03/04/2022 14:20:06",
"content": "Here, $i$ is the index of the 52 apples and $m_i$ is the mass in grams of the $i^{th}$ apple",
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"timestamp": "03/04/2022 14:20:09",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:20:13",
"content": "Also, if you want to be cool and all and be able to use this bot, you'll need to learn LaTeX. (Although it might not be that useful to learn if you're not going to stay in STEM)",
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"timestamp": "03/04/2022 14:20:25",
"content": "thats my equation for the mean",
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"timestamp": "03/04/2022 14:20:30",
"content": "write it in terms of your apple variables",
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"timestamp": "03/04/2022 14:20:39",
"content": "what are x and n?",
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"timestamp": "03/04/2022 14:20:41",
"content": "n = 52",
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"timestamp": "03/04/2022 14:20:44",
"content": "right",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:20:46",
"content": "idk what x is just the mass",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:20:49",
"content": "but idk what the mass is",
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"timestamp": "03/04/2022 14:20:52",
"content": "of each apple",
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"timestamp": "03/04/2022 14:21:08",
"content": "x is mass of apple, so use m instead of x",
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"timestamp": "03/04/2022 14:21:16",
"content": "yeah",
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"timestamp": "03/04/2022 14:21:18",
"content": "you don't need to know the mass of individual apples",
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"timestamp": "03/04/2022 14:21:22",
"content": "ok",
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"timestamp": "03/04/2022 14:21:30",
"content": "re-write this with apple variables",
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"timestamp": "03/04/2022 14:21:40",
"content": "k 1 sc",
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"timestamp": "03/04/2022 14:21:51",
"content": "not bad if this is really ms paint",
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"author_name": "DarQ",
"timestamp": "03/04/2022 14:22:36",
"content": "you can have straight lines in ms paint",
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"timestamp": "03/04/2022 14:23:02",
"content": "thanks i guess lol",
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"timestamp": "03/04/2022 14:23:03",
"content": "right side should be $\\overline{m}$ but close enough",
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"timestamp": "03/04/2022 14:23:12",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:23:15",
"content": "oh yeah",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:23:15",
"content": "my bad",
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"timestamp": "03/04/2022 14:23:21",
"content": "ok",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:23:28",
"content": "I understand up to this point but Idk what to do next",
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"timestamp": "03/04/2022 14:23:33",
"content": "look here. do you see something close to $\\overline{m}$ ?",
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"timestamp": "03/04/2022 14:23:35",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:23:44",
"content": "wdym by that",
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"timestamp": "03/04/2022 14:24:05",
"content": "compare the two and make a substitution",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:24:12",
"content": "I don't understand",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:24:15",
"content": "what am i comparing",
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"timestamp": "03/04/2022 14:24:35",
"content": "Yours",
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"timestamp": "03/04/2022 14:24:45",
"content": "and this",
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"timestamp": "03/04/2022 14:25:06",
"content": "I don't see what you mean srry",
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"timestamp": "03/04/2022 14:25:15",
"content": "write it next to each other on paper",
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"timestamp": "03/04/2022 14:25:40",
"content": "and read this",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:26:43",
"content": "do I divive it by 52?",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:26:47",
"content": "to make it like my equation?",
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"timestamp": "03/04/2022 14:26:51",
"content": "yes!",
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"timestamp": "03/04/2022 14:27:31",
"content": "$\\frac{1}{52}\\left(\\sum_{i=1}^{52} m_i - \\sum_{i=1}^{52} 150 \\right)= - \\frac{182}{52}$",
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"timestamp": "03/04/2022 14:27:57",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:28:09",
"content": "ok",
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"timestamp": "03/04/2022 14:28:13",
"content": "i understand that",
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"timestamp": "03/04/2022 14:28:16",
"content": "you're very close to getting the mean",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:28:51",
"content": "but didn't we get the equation the same as mine?",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:29:02",
"content": "im confused sry",
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"id": 949388074712973300,
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"timestamp": "03/04/2022 14:29:15",
"content": "distribute the left hand side",
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"id": 949388107512422400,
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"timestamp": "03/04/2022 14:29:23",
"content": "a(b -c) = ab - ac",
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"timestamp": "03/04/2022 14:29:47",
"content": "i think the rest is algebra",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:29:58",
"content": "so I add 150 to -182/52?",
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"id": 949388467245289500,
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"timestamp": "03/04/2022 14:30:49",
"content": "are you comfortable with the arithmetic?",
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"timestamp": "03/04/2022 14:30:55",
"content": "i think so",
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"timestamp": "03/04/2022 14:30:59",
"content": "but how do I calculate variance",
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"timestamp": "03/04/2022 14:31:52",
"content": "The definition:\n$Var(m) = \\frac{1}{52}\\sum_{i=1}^{52} (m_i - \\overline{m})^2$",
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"timestamp": "03/04/2022 14:32:14",
"content": "dont you have to divide it by 52",
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"timestamp": "03/04/2022 14:32:30",
"content": "or is that what the 52 above the sigma means",
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"timestamp": "03/04/2022 14:32:39",
"content": "this notation is a little confusing srry",
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"content": "thx",
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"content": "but we dont have the masses of the apples so how are we meant to calculate it",
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"content": "start with the left hand side of the last equation",
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"content": "nope",
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"content": "i dont understand",
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"content": "an equivalent definition could be\n$Var(m) = \\frac{1}{52}\\left(\\sum_{i=1}^{52} m_i^2\\right) - \\overline{m}^2$",
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"timestamp": "03/04/2022 14:37:02",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:37:24",
"content": "you have to pick one and see which one is easier to manipulate and arrive at from the starting formula",
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"timestamp": "03/04/2022 14:37:30",
"content": "wait what",
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"timestamp": "03/04/2022 14:37:34",
"content": "but",
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"timestamp": "03/04/2022 14:37:36",
"content": "this is your starting formula",
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"timestamp": "03/04/2022 14:37:42",
"content": "variance is this",
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"timestamp": "03/04/2022 14:37:53",
"content": "read",
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"timestamp": "03/04/2022 14:38:05",
"content": "you should have seen that in class",
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"timestamp": "03/04/2022 14:38:16",
"content": "I did but I don't know how to use it",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:38:31",
"content": "I find this topic rly confusing",
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"timestamp": "03/04/2022 14:38:33",
"content": "you'll have to do some algebra and try",
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"timestamp": "03/04/2022 14:38:49",
"content": "it's not straightforward. it takes trying and failing",
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"timestamp": "03/04/2022 14:38:50",
"content": "i dont have the sum of the mass squared though",
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"timestamp": "03/04/2022 14:39:04",
"content": "i've been on this problem for 3 days i don't know what to do..",
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"timestamp": "03/04/2022 14:39:39",
"content": "well now you know the right direction to go towards. use algebra and manipulate",
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"timestamp": "03/04/2022 14:40:08",
"content": "Last hint: expand (m-150)^2",
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"timestamp": "03/04/2022 14:40:41",
"content": "m^2 - 300m + 150^2?",
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"timestamp": "03/04/2022 14:40:44",
"content": "u mean that?",
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"timestamp": "03/04/2022 14:49:57",
"content": "Fixed\n$Var(m) = \\frac{1}{52}\\left(\\sum_{i=1}^{52} m_i^2\\right) - \\overline{m}^2$",
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"timestamp": "03/04/2022 14:50:01",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:50:40",
"content": "i don't understand any of this..",
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"timestamp": "03/04/2022 14:51:10",
"content": "I still don't know how to rearrange with the sum/sigma sign",
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"timestamp": "03/04/2022 14:53:26",
"content": "that's why you're supposed to practice",
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"author_name": "Skishy",
"timestamp": "03/04/2022 14:54:28",
"content": "how can I practice when I don't know how to do one?",
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"timestamp": "03/04/2022 14:54:29",
"content": "you can treat $\\sum_{i=1}^{52} m_i^2$ as a variable, say $s$",
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"timestamp": "03/04/2022 14:54:45",
"content": "**riemann**",
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"timestamp": "03/04/2022 14:54:49",
"content": "re-do the mean calculation",
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"timestamp": "03/04/2022 14:54:58",
"content": "s/52?",
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"timestamp": "03/04/2022 14:55:31",
"content": "keep going. use rules of algebra",
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"content": "https://www.cuemath.com/algebra/basic-of-algebra/",
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"timestamp": "03/04/2022 14:55:49",
"content": "- 146.5^2?",
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"timestamp": "03/04/2022 14:57:47",
"content": "i dont have m^2 I have (m-150)^2 in my question",
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"timestamp": "03/04/2022 14:58:37",
"content": ".",
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"timestamp": "03/04/2022 14:58:45",
"content": "m^2 -300m + 150^2?",
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"timestamp": "03/04/2022 14:59:18",
"content": "You don't need help verifying every line",
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"timestamp": "03/04/2022 14:59:26",
"content": "i don't know what im doing",
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"timestamp": "03/04/2022 14:59:30",
"content": "Follow the rules and you'll be good",
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"timestamp": "03/04/2022 15:00:03",
"content": "i know algebra rules..",
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"timestamp": "03/04/2022 15:00:07",
"content": "i dont know how to do statistics",
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"timestamp": "03/04/2022 15:00:40",
"content": "i dont know how the the sigma symbol affects the question",
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"content": ".",
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"timestamp": "03/04/2022 15:01:11",
"content": "Or google some videos on sigma/summation notation",
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"timestamp": "03/04/2022 15:01:17",
"content": "i did",
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"timestamp": "03/04/2022 15:01:19",
"content": "as i said",
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"timestamp": "03/04/2022 15:01:26",
"content": "i've been stuck on this problem for 3 das",
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"timestamp": "03/04/2022 15:01:27",
"content": "days",
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"timestamp": "03/04/2022 15:01:37",
"content": "I looked at so many videos and guides",
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"timestamp": "03/04/2022 15:01:46",
"content": "i dont know what to do",
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"timestamp": "03/04/2022 15:03:00",
"content": "literally makes 0 sense",
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"timestamp": "03/04/2022 15:03:02",
"content": "What videos",
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"timestamp": "03/04/2022 15:03:18",
"content": "statistics,stand deviantion,how to calc mean and variance",
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"timestamp": "03/04/2022 15:03:25",
"content": "none of them helped with this question",
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"timestamp": "03/04/2022 15:03:52",
"content": "None of those sound like what I told you to watch",
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"timestamp": "03/04/2022 15:03:58",
"content": ".",
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"author_name": "Skishy",
"timestamp": "03/04/2022 15:13:20",
"content": "i watched a video but it just explaned what I already know I don't know how to put it into context of my question",
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"timestamp": "03/04/2022 15:13:29",
"content": "I dont see why 1768/52 isnt the variance",
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"timestamp": "03/04/2022 15:13:51",
"content": "because if I divide both sides of the last equation by 52 it looks like the variance equation",
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"timestamp": "03/04/2022 15:14:09",
"content": "can you just explain what im meant to do clearly watching videos hasnt helped",
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"timestamp": "03/04/2022 15:17:50",
"content": "Keep going with this",
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"timestamp": "03/04/2022 15:18:05",
"content": "Because 150 is not your mean",
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"content": "Is it?",
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"content": "146.5 is my mean",
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"timestamp": "03/04/2022 15:20:04",
"content": "Then keep looking for more videos or ask a more specific question",
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"timestamp": "03/04/2022 15:20:30",
"content": "my question is how to find the variance",
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"timestamp": "03/04/2022 15:20:36",
"content": "I havent found a video witha question like mine",
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"timestamp": "03/04/2022 15:20:40",
"content": "\"more specific\"",
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"timestamp": "03/04/2022 15:21:00",
"content": "What don't you understand about summation notation",
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"timestamp": "03/04/2022 15:21:37",
"content": "for exampel idk what the 2nd equation is telling me at all",
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"author_name": "Skishy",
"timestamp": "03/04/2022 15:22:08",
"content": "like I don't know how I can calculate the variance using that equation",
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"timestamp": "03/04/2022 15:22:38",
"content": "That's the same question from the beginning . Scroll up and read my explanations",
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"content": ".",
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"timestamp": "03/04/2022 15:23:15",
"content": "but I don't see why you cant just show me how to calculate it then I can practice it I don't care about getting the answer value I just want to know the method",
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"timestamp": "03/04/2022 15:24:23",
"content": "Because it's the same method as the mean",
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"timestamp": "03/04/2022 15:24:41",
"content": "And you didn't try to apply it to the variance",
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"timestamp": "03/04/2022 15:25:39",
"content": "I still dont get what you mean by that\nI don't know how the squaring the brackets affects the problem",
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"timestamp": "03/04/2022 15:26:51",
"content": "I have the correct answer of the variance it's 21.75 i literally dont care abt the answer I just want someone to show me the method",
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"timestamp": "03/04/2022 15:27:18",
"content": "Take 10 minutes and read this\nhttps://tutorial.math.lamar.edu/classes/calci/summationnotation.aspx",
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"timestamp": "03/04/2022 15:41:51",
"content": "@Skishy Has your question been resolved?",
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"timestamp": "03/04/2022 15:50:51",
"content": "@Skishy did you read this yet",
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"timestamp": "03/04/2022 15:56:06",
"content": "yeah but im still confused",
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"timestamp": "03/04/2022 15:59:37",
"content": "$a^2+b^2 \\neq (a+b)^2$",
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"timestamp": "03/04/2022 15:59:44",
"content": "**Zybikron**",
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"timestamp": "03/04/2022 16:11:07",
"content": "confused about what. be specific",
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"timestamp": "03/04/2022 16:12:08",
"content": "what questions do you have about this chapter",
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"timestamp": "03/04/2022 16:24:55",
"content": "then you haven't read it and you're just wasting everyone's time",
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"author_name": "riemann",
"timestamp": "03/04/2022 16:27:09",
"content": "\"looked at\" meaning you opened the tab and not read it?",
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"timestamp": "03/04/2022 16:27:29",
"content": "because you have summations!",
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"timestamp": "03/04/2022 16:27:33",
"content": ":what:",
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"content": "you know this is a summation, right?",
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"timestamp": "03/04/2022 16:28:54",
"content": "It's just algebra and you haven't even tried",
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"timestamp": "03/04/2022 16:29:01",
"content": "it's the same method as I showed you for the mean",
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"timestamp": "03/04/2022 16:29:05",
"content": "EXACTLY THE SAME",
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"id": 949418677927813100,
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"timestamp": "03/04/2022 16:30:52",
"content": "alright i'll stop talking",
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"timestamp": "03/04/2022 16:32:17",
"content": "nope. i assume you know algebra because you said so",
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"content": "more confusing than what?",
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"content": "if you know a simpler way to do it, go for it",
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"timestamp": "03/04/2022 16:55:25",
"content": "You can find variance with $E(m^2) - [E(m)]^2$. Looks like you already found $E(m) = 146.5$. So now you just need to find the expected value of $m^2$",
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"timestamp": "03/04/2022 16:55:27",
"content": "**Zybikron**",
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"timestamp": "03/04/2022 16:55:46",
"content": "that's where the second equation is useful",
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"content": "E(m) = 146.5",
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"timestamp": "03/04/2022 16:58:10",
"content": "oop",
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"timestamp": "03/04/2022 16:58:11",
"content": "i meant",
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"timestamp": "03/04/2022 16:58:18",
"content": "146.5^2",
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"timestamp": "03/04/2022 16:58:28",
"content": "is E(m^2) 146.5^2",
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"timestamp": "03/04/2022 16:58:53",
"content": "Nope, $[E(m)]^2 = 146.5^2$",
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"timestamp": "03/04/2022 16:58:55",
"content": "**Zybikron**",
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"timestamp": "03/04/2022 16:59:04",
"content": "ok nice",
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"timestamp": "03/04/2022 16:59:22",
"content": "so How do I find E(m^2)",
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"timestamp": "03/04/2022 16:59:51",
"content": "And just for reference if you haven't see the notation $E(m)$ is the average. So $E(m) =\\frac1n\\sum m$ and $E(m^2) = \\frac1n\\sum m^2$",
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"timestamp": "03/04/2022 16:59:54",
"content": "**Zybikron**",
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"timestamp": "03/04/2022 17:00:11",
"content": "OH",
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"content": "I see",
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"timestamp": "03/04/2022 17:00:24",
"content": "Yeah I was alittle confused by the notation",
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"timestamp": "03/04/2022 17:01:17",
"content": "Here you said $(m-150)^2 = m^2-300m+150^2$ so you have $\\sum(m-150)^2 = \\sum m^2 -\\sum 300m + \\sum 150^2$",
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"content": "**Zybikron**",
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"timestamp": "03/04/2022 17:03:02",
"content": "Ok I think I might be able to solve it by myself now i'll let you know if I have any problems",
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"timestamp": "03/04/2022 17:03:03",
"content": "thx",
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"content": ".close",
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] | help-10 | 198be98f28f54b41949d335d8ef0f6b8 |
1,029 | [
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] | help-10 | f6f5774e1a2543cea76b725967cf92df |
103 | [
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"author_name": "Erzis",
"timestamp": "01/16/2022 17:37:13",
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"content": "✅",
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"content": "that's not a thing",
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"content": "$\\frac{d^2f}{dx^2}$ is just a special way of writing a second order derivative",
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"content": "**xdk1235**",
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"content": "it's not actually \"squaring\" anything",
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"timestamp": "01/16/2022 17:42:46",
"content": "so there's no $\\frac{d^2f}{dx}$",
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"content": "**xdk1235**",
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"timestamp": "01/16/2022 17:44:16",
"content": "$$\\dv{x}$$",
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"timestamp": "01/16/2022 17:44:25",
"content": "**Shuri2060**",
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"author_id": 321445119171756000,
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"timestamp": "01/16/2022 17:44:30",
"content": "This 'thing' is an operator",
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"author_id": 321445119171756000,
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"timestamp": "01/16/2022 17:44:33",
"content": "that acts on functions",
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"id": 932405014536802300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/16/2022 17:44:38",
"content": "Consider it as one object",
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"id": 932405170246156300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/16/2022 17:45:15",
"content": "$$\\dv{x}\\dv{x} = \\left(\\dv{x}\\right)^2 = \\frac{d^2}{(dx)^2} = \\frac{d^2}{dx^2}$$",
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"id": 932405212243722400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/16/2022 17:45:25",
"content": "This is shorthand for applying the operator twice",
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"id": 932405351825936500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/16/2022 17:45:59",
"content": "**Shuri2060**",
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"timestamp": "01/16/2022 17:46:24",
"content": "a bit like",
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"id": 932405461502820400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/16/2022 17:46:25",
"content": "$$f(f(x)) = f^2(x)$$",
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"timestamp": "01/16/2022 17:46:27",
"content": "**Shuri2060**",
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"author_name": "Erzis",
"timestamp": "01/16/2022 17:49:29",
"content": "ahhh",
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"author_name": "Erzis",
"timestamp": "01/16/2022 17:49:33",
"content": "amazing notation",
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"id": 932406263353061400,
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"timestamp": "01/16/2022 17:49:36",
"content": "really intuitive",
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"author_name": "Erzis",
"timestamp": "01/16/2022 17:50:14",
"content": "thank you all",
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"timestamp": "01/16/2022 17:50:18",
"content": "glad I'm not alone",
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"id": 932406450830074000,
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"timestamp": "01/16/2022 17:50:21",
"content": ".close",
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] | help-10 | 538171432df9495780c7eda74496261c |
1,030 | [
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},
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"id": 949446645924393100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
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"content": "so idk if theres a nice answer for this but",
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"content": "I'm trying to interpret what P could be in this model",
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"id": 949446742368223200,
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"content": "S is a variable, the average size of trees",
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"id": 949446768515510400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/04/2022 18:22:29",
"content": "and E is a variable, the total energy in the forest",
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"id": 949446990876532700,
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"timestamp": "03/04/2022 18:23:22",
"content": "It must almost certainly be some kind of parasitism term",
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"id": 949447025999642600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/04/2022 18:23:30",
"content": "but i cant really track the units or what id expect it to be",
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"timestamp": "03/04/2022 18:23:34",
"content": "any uhh intuition or guidance?",
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"content": "@jan Niku Has your question been resolved?",
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"content": ".close",
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}
] | help-10 | 504459e6602d46e787ee7186759ed861 |
1,031 | [
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"content": "@Juandissimo Has your question been resolved?",
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] | help-10 | f1cc49954d734fc18f3433a994c58067 |
1,032 | [
{
"id": 949464503043653800,
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"content": "Available help channel!",
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},
{
"id": 949466373027950600,
"author_id": 156829741276594180,
"author_name": "Intercosmosx86",
"timestamp": "03/04/2022 19:40:23",
"content": "could you please help me with the problem tan(theta/2) = sqrt(3)?",
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"id": 949466374718251100,
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"content": "Pinned a message.",
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"id": 949467455712026600,
"author_id": 202611693891747840,
"author_name": "Twisted",
"timestamp": "03/04/2022 19:44:41",
"content": "I would first do tan(theta) = sqrt 3 and find theta",
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"timestamp": "03/04/2022 19:44:50",
"content": "then just multiply that number by two and bam you get the answer",
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"author_name": "Shen",
"timestamp": "03/04/2022 19:55:10",
"content": "@Intercosmosx86 ^^",
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"content": "If you have an interval that you're restricting your solutions to, then you'll have specific solutions you're targeting.\n\nIf you are looking for all real solutions, then you'll have a general solution that models all possible solutions.",
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"content": "@Intercosmosx86 Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 4f24e3752816487ea453af6bdd244ee9 |
1,033 | [
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"content": "Available help channel!",
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"id": 949477603360800800,
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"timestamp": "03/04/2022 20:25:01",
"content": "Oops",
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"id": 949477761553162200,
"author_id": 466863820191563800,
"author_name": "eh",
"timestamp": "03/04/2022 20:25:38",
"content": "With the question I'm not sure how I should separate the b⁵ from the 2.5",
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"content": "Would it be logb ((5/2) b⁵)",
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"content": "Nvm i got it",
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"timestamp": "03/04/2022 20:28:12",
"content": ".close",
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] | help-10 | 89841b3a4c274f4d8ace3c9853ecd486 |
1,034 | [
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"timestamp": "03/04/2022 20:35:08",
"content": "I just want to check my answers as i am not too confident",
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"id": 949480369533616100,
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"timestamp": "03/04/2022 20:36:00",
"content": "a) A = (x)(x^2)(1/2)\n = tan^3(theta)/2",
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"id": 949480452748640300,
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"timestamp": "03/04/2022 20:36:20",
"content": "dA/dt = 3/2 tan^2(x)sec^2(x) d theta/dt",
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"timestamp": "03/04/2022 20:36:35",
"content": "so at theta = pi/3, dA/dt = 6",
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"timestamp": "03/04/2022 20:41:44",
"content": "for b im not too sure but i calculated 5/3sqrt(3)cos^2(sqrt2)",
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"timestamp": "03/04/2022 20:55:10",
"content": "@Helpers",
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"id": 949487321730937000,
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"timestamp": "03/04/2022 21:03:38",
"content": "um",
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"timestamp": "03/04/2022 21:03:41",
"content": "how to do 9b",
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"timestamp": "03/04/2022 21:07:25",
"content": ".close",
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"content": "Channel closed",
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] | help-10 | e036dcd26c864fb3955f47ebc4f7e518 |
1,035 | [
{
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"content": "Available help channel!",
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{
"id": 907302685110321200,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/08/2021 11:16:56",
"content": "Could you help me with this?",
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{
"id": 907302686775451800,
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"content": "A rectangular block is such that the sides of its base are of length x cm and 3x cm. The sum of the lengths of all its edges is 20 cm.",
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"timestamp": "11/08/2021 11:17:37",
"content": "And I have to find the volume of it",
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"id": 907303144764084400,
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"timestamp": "11/08/2021 11:18:46",
"content": "I can’t image the block",
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{
"id": 907303617223094300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:20:39",
"content": "If it only gives you the base sides, what's the height?",
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{
"id": 907303795673952300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:21:21",
"content": "I mean, if they don't give the height, you can solve it, but the answer will be in variables rather than a number.",
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"timestamp": "11/08/2021 11:24:06",
"content": "@*___* 9 They tell you that the sides of the base (the length and width) are x and 3x.",
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"timestamp": "11/08/2021 11:24:10",
"content": "They don't tell you the height.",
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"id": 907304618709635100,
"author_id": 537482727557955600,
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"timestamp": "11/08/2021 11:24:38",
"content": "The sum of the lengths of the edges is 20 cm.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:25:09",
"content": "So, there are four edges that are the height, four edges that are the length, and four edges that are the width of the block.",
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"timestamp": "11/08/2021 11:25:22",
"content": "4h + 4l + 4w = 20 cm",
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"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:25:34",
"content": "l = x",
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"id": 907304867431870500,
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"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:25:37",
"content": "w = 3x",
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"id": 907304893231038500,
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"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:25:43",
"content": "Solve for height in terms of x.",
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"id": 907304952483958800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:25:57",
"content": "Then use V = lwh.",
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"id": 907305060676014100,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/08/2021 11:26:23",
"content": "Oh so means, my drawing is incorrect",
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"timestamp": "11/08/2021 11:26:34",
"content": "Let me figure it out",
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"id": 907305321570123800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:27:25",
"content": "Yes. The front edge of the bottom (width) is x, the other edge of the bottom close to you (length) is 3x and the vertical edge (height) is h.",
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"timestamp": "11/08/2021 11:28:48",
"content": "??.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:28:56",
"content": "Yes, now you also know the sum of the edge lengths.",
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"id": 907305736894283800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:29:04",
"content": "There are four that hold up the top side.",
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{
"id": 907305751297540100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:29:08",
"content": "Those are h.",
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{
"id": 907305851407175800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:29:31",
"content": "There are four that are 3x long, they go horizontally parallel to you.",
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"id": 907305911394140200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:29:46",
"content": "There are four that are x long. They go from where you are away from you into the paper.",
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"timestamp": "11/08/2021 11:29:49",
"content": "",
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"timestamp": "11/08/2021 11:29:55",
"content": "Right.",
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"id": 907305968818356400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:29:59",
"content": "Now solve for h.",
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"id": 907305999088644200,
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"author_name": "*___* 9",
"timestamp": "11/08/2021 11:30:07",
"content": "Oh ok",
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"timestamp": "11/08/2021 11:31:50",
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"id": 907306458960506900,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/08/2021 11:31:56",
"content": "Thank you! I got it!",
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{
"id": 907306538585178100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:32:15",
"content": "You're welcome.",
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"id": 907306641064591400,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/08/2021 11:32:40",
"content": ".close",
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},
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"id": 907306642431959200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 11:32:40",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | f53da36b58ec4234b6fde388c277634f |
1,036 | [
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"timestamp": "03/04/2022 21:08:26",
"content": "Available help channel!",
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},
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"id": 949488921966960600,
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"id": 949489144864837600,
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"timestamp": "03/04/2022 21:10:52",
"content": "yo",
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"timestamp": "03/04/2022 21:11:19",
"content": "damn I've done integration",
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"timestamp": "03/04/2022 21:11:23",
"content": "but not with cos and sin",
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"timestamp": "03/04/2022 21:11:33",
"content": "cos sqrt is the same as cos^1/2",
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"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/04/2022 21:11:44",
"content": "So what would the answer be?",
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"id": 949489399522009100,
"author_id": 639211861882961900,
"author_name": "dxv",
"timestamp": "03/04/2022 21:11:53",
"content": "do yk how to do it?",
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"timestamp": "03/04/2022 21:12:14",
"content": "If you just want the answer, use a calculator.",
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"timestamp": "03/04/2022 21:12:19",
"content": "fr",
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"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/04/2022 21:12:26",
"content": "What calculator does this?",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:12:30",
"content": "Also don't ping random users, it's poor netiquette.",
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"timestamp": "03/04/2022 21:12:34",
"content": "Get googling",
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"timestamp": "03/04/2022 21:12:36",
"content": "nah he dmd me",
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"timestamp": "03/04/2022 21:12:38",
"content": "I asked him before",
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"timestamp": "03/04/2022 21:12:39",
"content": "so I was like sure",
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"author_name": "insane6942",
"timestamp": "03/04/2022 21:12:53",
"content": "But what calculator has this?",
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"timestamp": "03/04/2022 21:12:56",
"content": "Lots",
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"author_name": "dxv",
"timestamp": "03/04/2022 21:12:58",
"content": "just use the internet",
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"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/04/2022 21:13:05",
"content": "What’s it called?",
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"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:13:06",
"content": "If you put some effort into googling, you'd find some",
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"id": 949489717890674700,
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"timestamp": "03/04/2022 21:13:09",
"content": "google",
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"timestamp": "03/04/2022 21:13:15",
"content": "just google any calc",
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"timestamp": "03/04/2022 21:13:19",
"content": "I tried Mathway it was wrong",
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"author_name": "dxv",
"timestamp": "03/04/2022 21:13:25",
"content": "searching for the answer won't help tho",
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"timestamp": "03/04/2022 21:13:34",
"content": "try see on yt how to do it",
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"timestamp": "03/04/2022 21:13:38",
"content": "and similar qs",
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"id": 949489904725942300,
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"timestamp": "03/04/2022 21:13:53",
"content": "it'll help you answer such questions with ease",
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"timestamp": "03/04/2022 21:14:30",
"content": "But if you're struggling that hard to google, post your attempt at doing the integral",
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"timestamp": "03/04/2022 21:16:24",
"content": "Oh you tried to get the answer to this already",
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"id": 949490558261428200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/04/2022 21:16:29",
"content": "do you need help or the answer?",
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"timestamp": "03/04/2022 21:16:45",
"content": "Idek tho Icl",
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"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:16:47",
"content": "They want the answer, hence why nothing is happening",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:17:00",
"content": "Cause giving the answer is shit help.",
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"id": 949490697390686200,
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"author_name": "dxv",
"timestamp": "03/04/2022 21:17:02",
"content": "it's 2:16am rn",
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"id": 949490706672660500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:17:05",
"content": "(dare I even call it help)",
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"id": 949490788579024900,
"author_id": 639211861882961900,
"author_name": "dxv",
"timestamp": "03/04/2022 21:17:24",
"content": "and I'm watching vinland saga",
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"id": 949490841666322600,
"author_id": 369141023831752700,
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"timestamp": "03/04/2022 21:17:37",
"content": "I’ll use a calculator",
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"id": 949490862277156900,
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"author_name": "insane6942",
"timestamp": "03/04/2022 21:17:42",
"content": "Like u recommended",
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"id": 949490873417216100,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:17:44",
"content": "ok, .close the channel then",
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"id": 949490896053862500,
"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/04/2022 21:17:50",
"content": "Okay how?",
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"id": 949490912621367300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:17:54",
"content": "```.close```",
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"id": 949490915704184800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/04/2022 21:17:54",
"content": "do .close",
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"id": 949490985145073700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/04/2022 21:18:11",
"content": "and next time open a channel if you actually want help, not just the answer.",
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"id": 949490985816182800,
"author_id": 639211861882961900,
"author_name": "dxv",
"timestamp": "03/04/2022 21:18:11",
"content": "oops",
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"id": 949490998273257500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/04/2022 21:18:14",
"content": "neither would you learn anything but alright",
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"id": 949491035401252900,
"author_id": 456226577798135800,
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"timestamp": "03/04/2022 21:18:23",
"content": "use a calculator",
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"id": 949491068318130200,
"author_id": 369141023831752700,
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"timestamp": "03/04/2022 21:18:31",
"content": ".close",
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},
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"id": 949491070700490800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/04/2022 21:18:31",
"content": "Channel closed",
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] | help-10 | 246b924012b74a14b3b9ca895a2d28ab |
1,037 | [
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"id": 949491215433355400,
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"content": "I was trying out this problem and I got average revenue per passenger as 15.7 $ and SD as 19.95 $ which is correct. In the second part, revenue expected of 120 passengers, I did 15.7 * 120 = 1884 which is also correct.\n\nIn the case of SD in b part, should I multiply 120 with the Standard deviation (19.95)?\n\nIn a) part I am finding SD per person right? so in b) part, for 120 people, It must be multiplied right?",
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"content": "@anandhakris Has your question been resolved?",
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"content": "@Helpers",
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"content": "@anandhakris Has your question been resolved?",
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"content": "@anandhakris Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 16bd719a0810458da3be5044da607209 |
1,038 | [
{
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"content": "Available help channel!",
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},
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"id": 949535951095464100,
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"content": "Pinned a message.",
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"author_id": 899410935108763600,
"author_name": "nugget",
"timestamp": "03/05/2022 00:16:53",
"content": "what do i do next..?",
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"id": 949536640014094300,
"author_id": 393202147707322400,
"author_name": "Glory",
"timestamp": "03/05/2022 00:19:36",
"content": "Do u have the original question",
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"author_name": "nugget",
"timestamp": "03/05/2022 00:20:02",
"content": "that’s the og, i just copied it on paper and did a bit",
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"id": 949536764836585500,
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"timestamp": "03/05/2022 00:20:06",
"content": "wait",
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"author_id": 899410935108763600,
"author_name": "nugget",
"timestamp": "03/05/2022 00:20:11",
"content": "that’s not the og og",
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"id": 949536819794542700,
"author_id": 899410935108763600,
"author_name": "nugget",
"timestamp": "03/05/2022 00:20:19",
"content": "take away the colored lines and that’s the og",
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"id": 949537001642803200,
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"timestamp": "03/05/2022 00:21:02",
"content": "Ok",
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"author_id": 912292630036099100,
"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 00:22:43",
"content": "try midpoint theorem",
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"timestamp": "03/05/2022 00:23:16",
"content": "i’d love to, if i knew what that was..",
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"content": "basically midpoint theorem states that\nif a line joins any 2 midpoints of the sides of a triangle, then the line is half the length of the remaining side and parallel to it\nthe converse also holds true",
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"content": "i don’t see any line that joins 2 midpoints of any triangles though",
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"content": "AEG and CFG",
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"content": "what line joins 2 midpoints though?",
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"content": "Midpoint of AC and FE",
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"content": "i don’t know if that’s the midpoint tho",
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"content": "that’s what im tryna figure out",
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"content": "if it’s the midpoint, that means FG and GE and congruent, and AC bisects FE",
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"content": "but i don’t know that yet",
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"content": "@Helpers",
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"content": "@nugget Has your question been resolved?",
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] | help-10 | dfc0a08cf288428da83a6884f1e2349c |
1,039 | [
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"content": "Hover over it with the 3 dots",
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"content": "And press the trash can",
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"content": ",calc (15.1^2 + 12.3^2 - 14.3^2)/(2 * 12.3 * 15.1)",
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"timestamp": "03/05/2022 01:09:18",
"content": "Result:\n```\n0.47060248748183\n```",
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"timestamp": "03/05/2022 01:09:26",
"content": "I can't really read what's on the board",
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"timestamp": "03/05/2022 01:09:32",
"content": ",w arccos 0.47060",
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"content": "its the only thing that makes my cowlicks look good tho",
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"content": "look at the neck",
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"content": ".close",
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"content": "This too",
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] | help-10 | d07ca823b7c344c7a4cd90adb50aeca9 |
104 | [
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"id": 932408334026412000,
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"author_name": "Omegabet_",
"timestamp": "01/16/2022 17:57:50",
"content": "d=vt, however you need to convert km to m and h to s",
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"id": 932408401370165400,
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"timestamp": "01/16/2022 17:58:06",
"content": "yeah",
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"content": "that's all they did",
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"id": 932408840987770900,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 17:59:51",
"content": "but im getting different numbers",
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{
"id": 932408867550281700,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 17:59:57",
"content": "am i doing something wrong",
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"id": 932409003852562600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "01/16/2022 18:00:29",
"content": "You didn't convert properly",
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"id": 932409017597321200,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "01/16/2022 18:00:33",
"content": "1h = 3600s",
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"id": 932409069950615600,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 18:00:45",
"content": "i converted to hours all units",
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"id": 932409104989827100,
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"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 18:00:53",
"content": "ohh",
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"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 18:00:55",
"content": "omg",
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"timestamp": "01/16/2022 18:01:00",
"content": "omggggg",
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},
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"id": 932409743010562000,
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"timestamp": "01/16/2022 18:03:26",
"content": "",
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"id": 932409772920172700,
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"timestamp": "01/16/2022 18:03:33",
"content": "sometimes i go blind mode",
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"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/16/2022 18:03:37",
"content": "thanks for the help",
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"id": 932409802888450000,
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"timestamp": "01/16/2022 18:03:40",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/16/2022 18:03:40",
"content": "Channel closed",
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}
] | help-10 | e183e915ea064bdcb02533f4cdfa5f77 |
1,040 | [
{
"id": 949558000979431400,
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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},
{
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"author_id": 912292630036099100,
"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 01:45:47",
"content": "Let ABC be a triangle with AB = 16 and AC = 5. Suppose the bisectors of angle ABC and angle BCA meet at point P in the triangle's interior. Given that AP = 4, find length of BC.",
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"id": 949558330274230400,
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"timestamp": "03/05/2022 01:45:56",
"content": "draw a diagram",
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"timestamp": "03/05/2022 01:46:01",
"content": "i did",
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"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 01:46:03",
"content": "wait lemme send",
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"id": 949558401535455200,
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"timestamp": "03/05/2022 01:46:04",
"content": "Can we see",
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},
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"id": 949558606989242400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/05/2022 01:46:53",
"content": "BC > 11",
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"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 01:47:36",
"content": "uhhhhh yeah? triangle inequality right?",
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"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 01:50:51",
"content": "sorry for the delay, my laptop's very slow",
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"id": 949563379540963500,
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"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 02:05:51",
"content": "@Peppermint Demon Has your question been resolved?",
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"id": 949567656049143800,
"author_id": 483900149429698560,
"author_name": "exploseph",
"timestamp": "03/05/2022 02:22:51",
"content": "@Peppermint Demon if AC=5, AP=4, PC=?",
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"id": 949568325288071200,
"author_id": 483900149429698560,
"author_name": "exploseph",
"timestamp": "03/05/2022 02:25:30",
"content": "wait nvm",
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},
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"id": 949568609850638300,
"author_id": 912292630036099100,
"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 02:26:38",
"content": "that's not a 90 deg angle tho",
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"id": 949568752922554400,
"author_id": 483900149429698560,
"author_name": "exploseph",
"timestamp": "03/05/2022 02:27:12",
"content": "yea i realised that",
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},
{
"id": 949569005579010000,
"author_id": 483900149429698560,
"author_name": "exploseph",
"timestamp": "03/05/2022 02:28:13",
"content": "im thinking if you can find the radius of circle and area of the triangle then we can use (perimeter*r)/2=area",
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"id": 949569070741741600,
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"author_name": "exploseph",
"timestamp": "03/05/2022 02:28:28",
"content": "but i cant figure out what AP can do for us",
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},
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"id": 949571234478297100,
"author_id": 912292630036099100,
"author_name": "Peppermint Demon",
"timestamp": "03/05/2022 02:37:04",
"content": "same",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 03:18:24",
"content": "@Peppermint Demon Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 04:30:25",
"content": "@Peppermint Demon Has your question been resolved?",
"attachments": [],
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"id": 949605587430285300,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/05/2022 04:53:34",
"content": "is there absolutely nothing else given?",
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"id": 949605618619138000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/05/2022 04:53:42",
"content": "can you show the question?",
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},
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"id": 949614859849465900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 05:30:25",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 8460e6e96c9247dcbabc937af5b91764 |
1,041 | [
{
"id": 949615112883429400,
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"timestamp": "03/05/2022 05:31:25",
"content": "Available help channel!",
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},
{
"id": 949619009425395700,
"author_id": 714090046306648000,
"author_name": "DaRealBnjmn",
"timestamp": "03/05/2022 05:46:54",
"content": "what is P(match)? im not good at english srry",
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"timestamp": "03/05/2022 05:46:55",
"content": "Pinned a message.",
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"author_name": "DaRealBnjmn",
"timestamp": "03/05/2022 06:01:49",
"content": "@Helpers",
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"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 06:16:49",
"content": "@DaRealBnjmn Has your question been resolved?",
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"timestamp": "03/05/2022 06:58:27",
"content": "@DaRealBnjmn Has your question been resolved?",
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"author_id": 393202147707322400,
"author_name": "Glory",
"timestamp": "03/05/2022 07:26:17",
"content": "@DaRealBnjmn Which part are u struggling with?",
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"id": 949644089542967300,
"author_id": 393202147707322400,
"author_name": "Glory",
"timestamp": "03/05/2022 07:26:34",
"content": "Match as in they're either both Q or both E",
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},
{
"id": 949647572153299000,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 07:40:24",
"content": "How do we know that the area is increased four times by doubling the radius?",
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{
"id": 949647754257371300,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:41:08",
"content": "this is true for all areas",
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},
{
"id": 949648006603489300,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:42:08",
"content": "take the area of a rectangle for example",
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"id": 949648051407036400,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:42:19",
"content": "area = w*h",
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"id": 949648074408611800,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:42:24",
"content": "now double the dimensions",
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},
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"id": 949648143421677600,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:42:41",
"content": "area = 2w*2h",
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},
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"id": 949648188825010200,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:42:51",
"content": "= 4w*h",
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},
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"id": 949648668405944300,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 07:44:46",
"content": "I am confused that the answer is 16 pi r^2 but they are saying that area is increased 4 times",
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"id": 949648893656838300,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:45:39",
"content": "because the area started as 4pi*r^2",
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},
{
"id": 949648996606042100,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "03/05/2022 07:46:04",
"content": "4 times that = 16pi*r^2",
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"id": 949649839036194800,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 07:49:25",
"content": "Okay thanks",
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},
{
"id": 949653025901920300,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 08:02:05",
"content": "In this question I understood the first part but in the second part \nI cannot understand why the answer is 1/8",
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"id": 949654142438228000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/05/2022 08:06:31",
"content": "$\\frac{r^3}{8} = \\frac18 \\times r^3$",
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},
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"id": 949654155843219600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/05/2022 08:06:34",
"content": "**ℝamonov**",
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"id": 949654223748988900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/05/2022 08:06:50",
"content": "also dislike their liberal use of = signs",
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},
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"id": 949655368139690100,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 08:11:23",
"content": "Okay thanks",
"attachments": [],
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},
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"id": 949660402558578700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 08:31:23",
"content": "@DaRealBnjmn Has your question been resolved?",
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"timestamp": "03/05/2022 08:44:52",
"content": "Channel closed",
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}
] | help-10 | 1c268cab53d14386847cd454a19ea4d6 |
1,042 | [
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"content": "Available help channel!",
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"author_id": 456226577798135800,
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"timestamp": "03/05/2022 08:51:10",
"content": "why the standard deviation cannot be negative (like -2)?",
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"timestamp": "03/05/2022 08:51:11",
"content": "Pinned a message.",
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"timestamp": "03/05/2022 08:53:12",
"content": "the second statement",
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"content": "I feel like the standard deviation can be in both side negative and positive",
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"content": "Well ya it can be but there is a huge problem",
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"content": "I understand why u are saying +, -",
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"content": "It's because it's an sqrt",
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"content": "But dont forget that std is ment to show the variance in the data",
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"timestamp": "03/05/2022 08:55:02",
"content": "I got it now",
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"content": ".close",
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] | help-10 | 3616ce2233a04f459624e819789b187d |
1,043 | [
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"content": "Function is given. Set up a formula of tangent line k in point A with Xa = 4.",
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"content": "And u want to construct",
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"content": "The tangent at a particular point",
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"content": "That's all?",
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"content": "Yes",
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"content": "Could you check if i did it correctly in the above picture?",
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"content": "That function is $f(x) = \\frac {9x}{x\\sqrt{x}+1}$",
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"timestamp": "03/05/2022 09:04:18",
"content": "**CatHashira**",
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"content": "Yes",
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"timestamp": "03/05/2022 09:06:50",
"content": "Hmm remember [I can prove it ] that if there is any function and you want to construct $t(x) = f'(a) * ( x-a) + f(a)$ where a is the point where you want to construct the tangent can you prove it?",
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"content": "**CatHashira**",
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"timestamp": "03/05/2022 09:07:41",
"content": "My teacher or book didn’t learn me how to prove it but i think you can prove it yes",
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"content": "Do it yourself prove it try it atleast :pandacop:",
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"timestamp": "03/05/2022 09:08:08",
"content": "Okay with the formula u gave me?",
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"content": "Ya prove it",
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"timestamp": "03/05/2022 09:08:20",
"content": "Okay",
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"timestamp": "03/05/2022 09:09:15",
"content": "What do you mean by x-a ?",
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"content": "So just x - - 1/3",
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"content": "?",
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"timestamp": "03/05/2022 09:09:36",
"content": "Wdym by - -",
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"timestamp": "03/05/2022 09:09:51",
"content": "My ‘a’ is negative",
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"timestamp": "03/05/2022 09:09:56",
"content": "And u have negative sugn in the formula",
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"timestamp": "03/05/2022 09:10:01",
"content": "So it becomes - - right",
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"timestamp": "03/05/2022 09:10:03",
"content": "That’s +",
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"id": 949670153711398900,
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"timestamp": "03/05/2022 09:10:08",
"content": "Ya",
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"id": 949670180957597700,
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"timestamp": "03/05/2022 09:10:15",
"content": "But the answer is not limited",
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"timestamp": "03/05/2022 09:10:17",
"content": "To what u asked",
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"timestamp": "03/05/2022 09:10:24",
"content": "This is valid for all functions",
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"timestamp": "03/05/2022 09:10:26",
"content": "Yes i just asked for that part",
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"timestamp": "03/05/2022 09:10:48",
"content": "Wait i’m stil lcalculating",
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"content": "Give me 3 misn",
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"timestamp": "03/05/2022 09:10:55",
"content": "Mins",
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"timestamp": "03/05/2022 09:11:00",
"content": "I mean",
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"content": "1-2",
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"timestamp": "03/05/2022 09:11:25",
"content": "Forget about the question just prove that formula",
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"timestamp": "03/05/2022 09:11:29",
"content": "And you will be done",
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"timestamp": "03/05/2022 09:12:00",
"content": "But to prove i have to insert -1/3 into a root",
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"timestamp": "03/05/2022 09:12:02",
"content": "And thats impossible",
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"timestamp": "03/05/2022 09:12:21",
"content": "For f’(a)",
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"timestamp": "03/05/2022 09:12:48",
"content": "I see",
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"timestamp": "03/05/2022 09:13:00",
"content": "So that means my a that i found is wrong?",
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"timestamp": "03/05/2022 09:13:51",
"content": "Ur answer can be in imaginary numbers?",
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"id": 949671098025398300,
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"timestamp": "03/05/2022 09:13:53",
"content": "Probably",
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"id": 949671188609781800,
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"timestamp": "03/05/2022 09:14:15",
"content": "Noo we ddid not learn that",
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"timestamp": "03/05/2022 09:14:30",
"content": "I will just see what my teacher says on monday then its okay",
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"timestamp": "03/05/2022 09:14:38",
"content": ":whycat: I see I don't find any other way of solving it",
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"timestamp": "03/05/2022 09:15:05",
"content": "Can u help me with how to find relative extrema?",
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"content": "Oh i should just do f’(x) = 0",
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"content": ".close",
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] | help-10 | 2e2694de201e447b84aa2c93bf7629a2 |
1,044 | [
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"content": "A) Function is given. Set up a formula of tangent line k in point A with Xa = 4.\n\nB) calculate relative extrema of f",
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"timestamp": "03/05/2022 09:44:54",
"content": "Can someone check if my work is correct?",
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"author_id": 801077586926501900,
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"timestamp": "03/05/2022 09:45:06",
"content": "function is $f(x) = \\frac {9x}{x\\sqrt{x}+1}$",
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"content": "**blue™**",
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"timestamp": "03/05/2022 10:00:06",
"content": "@blue™ Has your question been resolved?",
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"content": "@Helpers",
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"id": 949683736692285400,
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"content": "please, then i can do the rest if i know this is correct",
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"content": ".close",
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] | help-10 | 82aa8c87a0f5447fa1d375d709cc84a5 |
1,045 | [
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"content": "I am having trouble trying to figure out if i set up triangles for proportions correctly",
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"content": "my teacher says geometric mean is just ratio and proportions",
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"timestamp": "03/05/2022 10:23:45",
"content": "do these triangles look right?",
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"timestamp": "03/05/2022 10:24:33",
"content": "to check, mark angles.",
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"content": "ok",
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"content": "i think i got it thanjks",
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] | help-10 | 3a2dfbe608664b958466cbbebb60e8aa |
1,046 | [
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"timestamp": "11/08/2021 11:33:40",
"content": "Available help channel!",
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"id": 907310054162694100,
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"timestamp": "11/08/2021 11:46:13",
"content": "vertical asymptotes of x2y-4xy-5y-6=0?",
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"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:49:01",
"content": "@Deleted User Move the 6 term to the other side, factor out y from the remaining terms, divide both sides by what's multiplied by y on the left, solve for when the denominator on the right is zero.",
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"timestamp": "11/08/2021 11:49:39",
"content": "so whats the result? xd",
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"content": "We can't just give answers, but we can help you to get the answer.",
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"timestamp": "11/08/2021 11:50:20",
"content": "ohhh",
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"timestamp": "11/08/2021 11:50:21",
"content": "thanks",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/08/2021 11:50:31",
"content": "can i ask now??",
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"author_name": "Chai T. Rex",
"timestamp": "11/08/2021 11:50:38",
"content": "@Deleted User Sorry, this channel is taken by someone else. To ask a question of your own, see the new rules in #❓how-to-get-help.",
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"timestamp": "11/08/2021 11:50:59",
"content": "oh sorry i thought he finished",
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"timestamp": "11/08/2021 11:51:29",
"content": "To ask, just go to one of the #help channels under the \"Math Help (Available)\" channels section.",
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"timestamp": "11/08/2021 11:51:56",
"content": "They don't have `#help-x | person-name` as the channel name, they just have `#help-x`.",
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"timestamp": "11/08/2021 12:05:21",
"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | b24c1ac514e34e84b538c2c710021460 |
1,047 | [
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"timestamp": "03/05/2022 10:54:32",
"content": "I need help with 26, e part (ii)",
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"timestamp": "03/05/2022 10:56:03",
"content": "I don't understand anything, pls help",
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"content": "@Helpers",
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"content": "@Deleted User Has your question been resolved?",
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] | help-10 | a17a6ba9258448aa8f5967a753795cb7 |
1,048 | [
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"id": 949715737847668700,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:11:16",
"content": "(3 x 10⁴) x (2 x 10⁹)\nSo far = 6 x 10¹³, which ain't equal. What do i do when the power figure is not a whole number?",
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"content": "Pinned a message.",
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"author_id": 432221457360093200,
"author_name": "I can't believe you've done this",
"timestamp": "03/05/2022 12:13:27",
"content": "you still apply the same principle, except you'll be adding fractional powers instead of whole number powers",
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"id": 949717207091380400,
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"author_name": "I can't believe you've done this",
"timestamp": "03/05/2022 12:17:07",
"content": "say for example\n$$3^{\\frac{1}{2}} \\times 3^{\\frac{3}{2}}$$ \nyou'll add the powers together such that you get $$3^{\\frac{1}{2} + \\frac{3}{2}} = 3^2$$",
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"id": 949717220475424800,
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"timestamp": "03/05/2022 12:17:10",
"content": "**I can't believe you've done this**",
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"author_name": "Magunasu",
"timestamp": "03/05/2022 12:18:27",
"content": "And in this case?",
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"id": 949717834185982100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/05/2022 12:19:36",
"content": "It isn't clear what your question is. \"Which ain't equal\"?",
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"id": 949717917853941800,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:19:56",
"content": "Doesn't the power has to be a whole number to be correct?",
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"id": 949717950133334100,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:20:04",
"content": "Nope",
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"id": 949717983431917600,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:20:12",
"content": "So the ¹³ is fine?",
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"id": 949718020467617800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/05/2022 12:20:20",
"content": "13 is a whole number",
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"id": 949718141469081700,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:20:49",
"content": "There is only 1 situation",
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"id": 949718151195685000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:20:52",
"content": "Where",
"attachments": [],
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},
{
"id": 949718188030054400,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:21:00",
"content": "https://tenor.com/view/buzz-lightyear-no-sign-of-intelligent-life-dumb-toy-story-gif-11489315",
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"id": 949718210570244100,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:21:06",
"content": "I apologise",
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},
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"id": 949718238307164200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/05/2022 12:21:12",
"content": "If you are concerned with scientific notation, then yes 10ⁿ does have to be a whole number",
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"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:21:15",
"content": "I will return to my forsaken lands",
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"id": 949718315562062000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/05/2022 12:21:31",
"content": "But your calculator will do that for you, in that case",
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"id": 949718599633870800,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:22:39",
"content": "$$a^x * a^y ≠ a^{x + y}$$",
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"id": 949718612426489900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/05/2022 12:22:42",
"content": "**Pluton**",
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"id": 949718655212585000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:22:52",
"content": "If a < 0",
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"id": 949718767976464400,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:23:19",
"content": "And x and y are fractions",
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"id": 949718829423030300,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:23:33",
"content": "But like really its just few cases",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:23:55",
"content": "Wait actually nvm its other way",
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"timestamp": "03/05/2022 12:24:32",
"content": "$$a^x * b^x ≠ (a * b)^x$$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/05/2022 12:24:34",
"content": "**Pluton**",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/05/2022 12:24:50",
"content": "When a or b is a negative number",
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"author_name": "Pluton",
"timestamp": "03/05/2022 12:26:35",
"content": "Well technically if x and y are 1/2 and a = -1 \n$$(-1)^{2/2} = 1$$",
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"timestamp": "03/05/2022 12:26:38",
"content": "**Pluton**",
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"timestamp": "03/05/2022 12:27:25",
"content": "Well nvm",
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"timestamp": "03/05/2022 12:27:40",
"content": "Rules for negative square roots are a little different",
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"author_id": 426443702932733950,
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"timestamp": "03/05/2022 12:27:42",
"content": "Thats all",
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"id": 949721640554614800,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:34:44",
"content": "Thank you 😊",
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},
{
"id": 949721773585350700,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:35:15",
"content": ".Close",
"attachments": [],
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},
{
"id": 949721799803961300,
"author_id": 537675528346271740,
"author_name": "Magunasu",
"timestamp": "03/05/2022 12:35:22",
"content": ".close",
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},
{
"id": 949721801418764400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 12:35:22",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | f66271ab55ce46cb8e8d132ad48ec1c8 |
1,049 | [
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"timestamp": "03/05/2022 12:36:22",
"content": "Available help channel!",
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"timestamp": "03/05/2022 12:38:07",
"content": "Idk where to start w this any help?",
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"content": "@ATG076 Has your question been resolved?",
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] | help-10 | 6ae6a2dfa587473a9a94f7c2a4b2afa6 |
105 | [
{
"id": 932410425151205400,
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"timestamp": "01/16/2022 18:06:08",
"content": "Available help channel!",
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"id": 932412695519588400,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:15:10",
"content": "I can't figure out why this question involves the second equation which includes f(3)",
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"content": "Pinned a message.",
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"author_name": "riemann",
"timestamp": "01/16/2022 18:19:11",
"content": "That's one definition of the difference quotient",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:20:55",
"content": "Isn't the difference quotient a forumla:\n (f(x+h) - f(x))/h?",
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"id": 932414309462601900,
"author_id": 312559012346331140,
"author_name": "xdk1235",
"timestamp": "01/16/2022 18:21:34",
"content": "Theyre equivalent",
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"author_name": "xdk1235",
"timestamp": "01/16/2022 18:22:26",
"content": "Plug in h = 3 - x",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:22:59",
"content": "Okay give me a second to write it through",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:26:43",
"content": "I ended up with \n= (x^2 -5x+6) / (4x+4)",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:26:59",
"content": "hang on that can be simplified right?",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:27:31",
"content": "= ((x-5) (x-1)) / (4(x+1))",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:27:40",
"content": "NVM not any cleaner 😦",
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"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:28:45",
"content": "2 things: System says it's not right and I don't understand how h = 3-x",
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"author_name": "riemann",
"timestamp": "01/16/2022 18:29:50",
"content": "This is the one for h going to zero. The other is x going to 3.",
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"id": 932417238756126700,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:33:13",
"content": "So would it be instead",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:33:47",
"content": "(-x^2 +6x -9 ) / (x+1)",
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"id": 932417437637410800,
"author_id": 704522383419113500,
"author_name": "ADE",
"timestamp": "01/16/2022 18:34:00",
"content": "or x+3/(x-3)(x+1)",
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"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:34:37",
"content": "Isn't the Difference Quotient supposed to end with something linear?",
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"id": 932417755301412900,
"author_id": 704522383419113500,
"author_name": "ADE",
"timestamp": "01/16/2022 18:35:16",
"content": "nope",
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"id": 932418160127246300,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:36:52",
"content": "System is saying none of the answers found have been correct",
"attachments": [],
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"id": 932418333087776800,
"author_id": 704522383419113500,
"author_name": "ADE",
"timestamp": "01/16/2022 18:37:34",
"content": "now plug into difference quotient term",
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"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:37:49",
"content": "the (x+h) formula?",
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"author_id": 704522383419113500,
"author_name": "ADE",
"timestamp": "01/16/2022 18:37:55",
"content": "yes",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:38:23",
"content": "Ok computing...",
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"timestamp": "01/16/2022 18:53:23",
"content": "@Evitaitini Has your question been resolved?",
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"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:53:42",
"content": "its a long boi bot give me time",
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"id": 932423062178136200,
"author_id": 459276938234822660,
"author_name": "sean",
"timestamp": "01/16/2022 18:56:21",
"content": "theres two different types of difference quotients, one of them is this and the other is simply just \n```\n∆f(x)/∆x\nor\nf(x)-f(a)/x-a\n```\nyou get the x+h difference quotient formula by substituting h=x-a",
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"timestamp": "01/16/2022 18:56:36",
"content": "both are equivalent",
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"author_name": "sean",
"timestamp": "01/16/2022 18:57:09",
"content": "if you take the limit as h->0 and as ∆x->0, you'll see that the derivatives are equivalent too",
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"author_name": "sean",
"timestamp": "01/16/2022 18:57:36",
"content": "it's just that the x+h formula is easier and more convenient for calculations at times",
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"id": 932423424779894800,
"author_id": 459276938234822660,
"author_name": "sean",
"timestamp": "01/16/2022 18:57:48",
"content": "since everything usually cancel",
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"id": 932423427028025300,
"author_id": 459276938234822660,
"author_name": "sean",
"timestamp": "01/16/2022 18:57:48",
"content": "s",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 18:59:02",
"content": "I think I took a step out of line somewhere\nvery little cancelled when combining\n\n= ((hx^2+h^2x-2hx-3h^2-3h) / (x+h-3)(x+h+1)(x-3)(x+1) ) / h",
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"id": 932424526342541400,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:02:10",
"content": "I feel like I made some computation error early in combing and have 6 variables too many",
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"id": 932424615656034300,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:02:31",
"content": "but this whole process is kind of breaking my brain as it's been years since I studied this previously",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:15:12",
"content": "Help! I got stuck again; because inputting h = 3 - x gets me to an incorrect answer",
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"author_name": "riemann",
"timestamp": "01/16/2022 19:27:17",
"content": "Why are you using h at all?",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:27:51",
"content": "because I don't know how to use the second equation given in the prompt",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:28:34",
"content": "inputting f(x) straight gets me to (f(x) -2)/x-3",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:28:39",
"content": "and I'm lost",
"attachments": [],
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"id": 932431415432314900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/16/2022 19:29:33",
"content": "Plug in the definition of f in this expression and you'll get your answer",
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"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:30:28",
"content": "but it didn't 😦",
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"id": 932431665530273800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/16/2022 19:30:32",
"content": "$$[(x+5)/(x+1) - 2] / (x-3)$$",
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"id": 932431737676501000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/16/2022 19:30:50",
"content": "**riemann**",
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"timestamp": "01/16/2022 19:30:58",
"content": "Did you simplify?",
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"id": 932431814356791400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/16/2022 19:31:08",
"content": "You should get a cancellation",
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{
"id": 932431969235660800,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:31:45",
"content": "to simplify you multiply -2 by x+1 /x+1",
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"id": 932432078325289100,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:32:11",
"content": "and end up with -2x -2+x+5",
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"timestamp": "01/16/2022 19:32:19",
"content": "or -x+3",
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"id": 932432230746325000,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:32:47",
"content": "so (-x+3 / x +1) / x-3",
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"id": 932432302796075000,
"author_id": 218176776118075400,
"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:33:04",
"content": "but I don't know where from there because multipling by the reciprocal didn't work",
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"content": "a/b/c is the same as a/(bc)",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:35:35",
"content": "so -x+3 / (x+1)(x-3)?",
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"timestamp": "01/16/2022 19:36:33",
"content": "Do you see the cancellation",
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"timestamp": "01/16/2022 19:36:51",
"content": "I would put extra parentheses to be careful",
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"timestamp": "01/16/2022 19:37:46",
"content": "so -(x-3) cancels with the x-3 on the bottom",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:37:56",
"content": "leaving -1/(x+1)?",
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"timestamp": "01/16/2022 19:38:56",
"content": "Yes!",
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"author_name": "Evitaitini",
"timestamp": "01/16/2022 19:39:07",
"content": "Thank you @riemann for your time and paitence",
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"timestamp": "01/16/2022 20:09:07",
"content": "@Evitaitini Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | cd195eae25fe48698acd401683b37007 |
1,050 | [
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"id": 949730300265648100,
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"content": "Available help channel!",
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"id": 949731196512903200,
"author_id": 802867365431345200,
"author_name": "Eric B",
"timestamp": "03/05/2022 13:12:42",
"content": "Hello I need guidance with a partial fraction problem",
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"content": "whats up?",
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"id": 949731826937770000,
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"content": "Hi",
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"author_name": "Eric B",
"timestamp": "03/05/2022 13:15:41",
"content": "@Zybikron Are you able to help me see the light?",
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"author_name": "exploseph",
"timestamp": "03/05/2022 13:16:04",
"content": "maybe try describing what you need help with",
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"author_name": "Zybikron",
"timestamp": "03/05/2022 13:16:23",
"content": "sure, but I need to know what exactly you're struggling with",
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"author_name": "Eric B",
"timestamp": "03/05/2022 13:17:18",
"content": "Uh, the first step? I believe the formula goes ``` (a_0/x) + (a_2x+a_1)/x^2+1```",
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"timestamp": "03/05/2022 13:17:28",
"content": "Im not certain. Struggling with this topic",
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"author_name": "Zybikron",
"timestamp": "03/05/2022 13:17:35",
"content": "yeah, that's correct",
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"author_name": "Eric B",
"timestamp": "03/05/2022 13:17:57",
"content": "Right, not a clue how to get there",
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"author_id": 802867365431345200,
"author_name": "Eric B",
"timestamp": "03/05/2022 13:18:14",
"content": "Sorry, not familiar with LaTeX on Discord.",
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"author_name": "Zybikron",
"timestamp": "03/05/2022 13:19:41",
"content": "I'm not sure what you mean. It's a bit of just using the formulation.",
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"author_name": "Zybikron",
"timestamp": "03/05/2022 13:20:00",
"content": "you're effectively un-combining fractions",
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"timestamp": "03/05/2022 13:20:51",
"content": "for example, instead of turning 1/2+1/3 into a single fraction, your taking 5/6 and writing it as a sum of two fractions.",
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"timestamp": "03/05/2022 13:24:17",
"content": "The factors in the left column are assumed to be irreducible or unfactorable",
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"timestamp": "03/05/2022 13:25:22",
"content": "Ok I think I got it",
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"id": 949734393377874000,
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"author_name": "Eric B",
"timestamp": "03/05/2022 13:25:24",
"content": ".close",
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"id": 949734398142578700,
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"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 13:25:25",
"content": "Channel closed",
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] | help-10 | 7944cb5ed3754179b2d114e68e88d843 |
1,051 | [
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"timestamp": "03/05/2022 13:25:28",
"content": "Thanks",
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{
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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"id": 949785676210143200,
"author_id": 630190327344398300,
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"timestamp": "03/05/2022 16:49:11",
"content": "dose someone know what the awnser to this i picked it woudlnt change but that was wrong.",
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"content": "Pinned a message.",
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"content": "@Figure Has your question been resolved?",
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"content": "@Helpers",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/05/2022 17:17:15",
"content": "does it say that answer is wrong?",
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"timestamp": "03/05/2022 17:17:58",
"content": "no, the awnser that was wrong was it would stay the same",
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"author_name": "Zybikron",
"timestamp": "03/05/2022 17:18:58",
"content": "so you're asking why it increases?",
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"timestamp": "03/05/2022 17:19:52",
"content": "no, i dont know which one it is, im just asking how id figure it out",
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"timestamp": "03/05/2022 17:20:06",
"content": "the awnser thats in yellow is a guess",
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"id": 949793691042742400,
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"author_name": "ramonov",
"timestamp": "03/05/2022 17:21:02",
"content": "draw some triangles",
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"id": 949793735582023700,
"author_id": 630190327344398300,
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"timestamp": "03/05/2022 17:21:12",
"content": "ok",
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"timestamp": "03/05/2022 17:22:08",
"content": "specifically some right triangles where the ramp get's closer to the stair",
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"content": "ok",
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"timestamp": "03/05/2022 17:23:33",
"content": "good, what happened to your angle?",
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"id": 949794430062325800,
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"timestamp": "03/05/2022 17:23:58",
"content": "it increased?",
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"timestamp": "03/05/2022 17:24:06",
"content": "mabey",
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"id": 949795218717290500,
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"content": "would it be increasing because as you got close to the stairs and the angle a the top got smaller and made the angle 5.7 larger?",
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"timestamp": "03/05/2022 17:28:09",
"content": "yes, that's one way to look at it",
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"content": "ty",
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"content": ".close",
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] | help-10 | d9b663a88c2944c5961696b195164e9a |
1,052 | [
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"timestamp": "03/05/2022 18:01:29",
"content": "no abs value bars in the logs",
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"content": "The thing that I'm doing this one doesn't use abs value bars",
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"content": "wdym",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:02:48",
"content": "You don't have abs value bars, so it's wrong",
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"id": 949804261892558800,
"author_id": 880096843906818000,
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"timestamp": "03/05/2022 18:03:02",
"content": "No I would've put abs bars",
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"id": 949804303965618200,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:03:12",
"content": "but the website I'm doing this on doesn't use abs bars for some reason",
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{
"id": 949804317165121500,
"author_id": 880096843906818000,
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"timestamp": "03/05/2022 18:03:15",
"content": "idk why",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:03:24",
"content": "\"Remember to use absolute value where apparopriate\"",
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"author_id": 898139815525113900,
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"timestamp": "03/05/2022 18:03:29",
"content": "Help",
"attachments": [],
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},
{
"id": 949804392293474300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:03:33",
"content": "Im literally reading the instructions",
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"id": 949804403790082000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:03:36",
"content": "@hello_idont #❓how-to-get-help",
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"id": 949804408206655600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "03/05/2022 18:03:37",
"content": "#❓how-to-get-help",
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"id": 949804427412373500,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:03:42",
"content": "I'm so confused",
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},
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"id": 949804435297673200,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:03:43",
"content": "",
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"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:03:50",
"content": "yeah, that's a number",
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"id": 949804471133806600,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:03:52",
"content": "But here I didn't put abs bars and it says its correct",
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"id": 949804490360512600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:03:57",
"content": "yeah",
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},
{
"id": 949804515324993500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:04:02",
"content": "cause you evaluated shit",
"attachments": [],
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},
{
"id": 949804584237416400,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:04:19",
"content": "$\\int\\frac{1}{x}\\dd{x}=\\ln(|x|)+C$",
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"id": 949804593720737900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/05/2022 18:04:21",
"content": "**Mosh**",
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"id": 949804637907718300,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "03/05/2022 18:04:32",
"content": "How do you Do you express the ratio x:y in simplest form",
"attachments": [],
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},
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"id": 949804660309495800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "03/05/2022 18:04:37",
"content": "#❓how-to-get-help",
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"author_name": "Omegabet_",
"timestamp": "03/05/2022 18:04:41",
"content": "How do you Read?",
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"id": 949804839330799600,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:05:20",
"content": "Dang",
"attachments": [],
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"id": 949804865780080800,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:05:26",
"content": "looks like it was because of the abs bars",
"attachments": [],
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},
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"id": 949804915457392600,
"author_id": 880096843906818000,
"author_name": "Sillyman",
"timestamp": "03/05/2022 18:05:38",
"content": "Thank you @Omegabet_ for the assistance",
"attachments": [],
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"timestamp": "03/05/2022 18:06:03",
"content": ".close",
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"id": 949805020566659100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 18:06:03",
"content": "Channel closed",
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] | help-10 | 9fb7c3f949b94e5eb656eb4c3e83c542 |
1,053 | [
{
"id": 949806121399500900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 18:10:25",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 949807912417624000,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:17:32",
"content": "help",
"attachments": [],
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},
{
"id": 949807914510614700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 18:17:33",
"content": "Pinned a message.",
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"id": 949808083058692100,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:18:13",
"content": "So basically we have for",
"attachments": [],
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},
{
"id": 949808539772264600,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:20:02",
"content": "arccos(√((1+cosx)÷2)) where x⋳ R",
"attachments": [],
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},
{
"id": 949808585351778300,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:20:13",
"content": "they at first asked to simplify it which I did",
"attachments": [],
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},
{
"id": 949808609737453600,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:20:19",
"content": "then obtained",
"attachments": [],
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},
{
"id": 949808616922288100,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:20:20",
"content": "either",
"attachments": [],
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},
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"id": 949808669325930500,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:20:33",
"content": "arccos(cos(x/2))",
"attachments": [],
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},
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"id": 949808789123645600,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:21:01",
"content": "or arccos(-cos(x/2))=arccos(cos(pi+x/2))",
"attachments": [],
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},
{
"id": 949808859927674900,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:21:18",
"content": "but then the x is in R so how to proceed?",
"attachments": [],
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},
{
"id": 949810501544718500,
"author_id": 943647947621552100,
"author_name": "Sherbert",
"timestamp": "03/05/2022 18:27:50",
"content": "help, what does all of this mean?",
"attachments": [],
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},
{
"id": 949810554795622400,
"author_id": 943647947621552100,
"author_name": "Sherbert",
"timestamp": "03/05/2022 18:28:02",
"content": "I am new to all this stuff",
"attachments": [],
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},
{
"id": 949811591371718700,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:32:10",
"content": "@Helpers",
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},
{
"id": 949812638609703000,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 18:36:19",
"content": "@Helpers ????",
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"id": 949816414234091500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 18:51:19",
"content": "@SAB Has your question been resolved?",
"attachments": [],
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"id": 949816457112453200,
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"timestamp": "03/05/2022 18:51:30",
"content": "no",
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"timestamp": "03/05/2022 18:54:38",
"content": "@Helpers",
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{
"id": 949823797807177700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/05/2022 19:20:40",
"content": "well, arccos(cos(x)) = x when 0<x<pi",
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"id": 949824820407828500,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 19:24:44",
"content": "yeah but",
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"id": 949824827127107600,
"author_id": 747990866798313600,
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"timestamp": "03/05/2022 19:24:45",
"content": "then",
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"id": 949824930550276100,
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"author_name": "SAB",
"timestamp": "03/05/2022 19:25:10",
"content": "sould i find the solution of that equation?",
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"id": 949824995029307500,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 19:25:25",
"content": "0<x/2<pi???",
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"id": 949825084145684500,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 19:25:46",
"content": "and also we have the case of 0<x/2 + pi <pi",
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"id": 949825092232310800,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 19:25:48",
"content": "???",
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"id": 949825159508926500,
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"timestamp": "03/05/2022 19:26:04",
"content": "how do i Proceed",
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"id": 949825611126407200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/05/2022 19:27:52",
"content": "isn't cos(pi+x) = -cos(x)?",
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"id": 949826116267417600,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 19:29:53",
"content": "yes",
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},
{
"id": 949829675616714800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 19:44:01",
"content": "",
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"id": 949830328481095700,
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"author_name": "SAB",
"timestamp": "03/05/2022 19:46:37",
"content": "@Helpers",
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},
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"id": 949830491463360500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 19:47:16",
"content": "are you daft",
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},
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"id": 949831710621712500,
"author_id": 747990866798313600,
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"timestamp": "03/05/2022 19:52:06",
"content": "yes",
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"id": 949837424350089300,
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"timestamp": "03/05/2022 20:14:49",
"content": "@Helpers",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 20:44:49",
"content": "@SAB Has your question been resolved?",
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"id": 949847661031338000,
"author_id": 747990866798313600,
"author_name": "SAB",
"timestamp": "03/05/2022 20:55:29",
"content": "well gonna re-ask later c yall and yes I am dumb tnx",
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"id": 949847674356629500,
"author_id": 747990866798313600,
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"timestamp": "03/05/2022 20:55:32",
"content": ".close",
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"id": 949847676214734800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 20:55:33",
"content": "Channel closed",
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] | help-10 | 2661325c6901474c861b53398001f6a0 |
1,054 | [
{
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"timestamp": "03/05/2022 20:56:33",
"content": "Available help channel!",
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},
{
"id": 949855149474594800,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 21:25:15",
"content": "hi friends! currently creating a notepad that you can draw in, ran into an issue where if you draw fast the pixels will start spacing out n stuff\n\nin hopes of solving it, i researched it and found the viable solution is to create a line between the points, though i don't know how \n\ni currently have the distance, midpoint, opposite line, rotation values as well as the coordinates for the last and current pixel though i've no clue what the formula is to create a line\n\ncan someone please hand me the formula to create a line from these factors? results are inconclusive online :c",
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"timestamp": "03/05/2022 21:25:15",
"content": "Pinned a message.",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:26:08",
"content": "values are generated from this image if that helps",
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"timestamp": "03/05/2022 21:32:07",
"content": "?",
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"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 21:37:22",
"content": "@Helpers",
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{
"id": 949858244090802200,
"author_id": 909734400990785500,
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"timestamp": "03/05/2022 21:37:32",
"content": "Interesting",
"attachments": [],
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"id": 949858458528784400,
"author_id": 909734400990785500,
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"timestamp": "03/05/2022 21:38:24",
"content": "Which values are you talking about?",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:38:47",
"content": "distance, midpoint, opposite line, rotation values",
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"timestamp": "03/05/2022 21:40:46",
"content": "I think u can just draw a line connecting the gap between the two points?",
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"timestamp": "03/05/2022 21:41:08",
"content": ":bhappy: or will that lack performance",
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"timestamp": "03/05/2022 21:41:33",
"content": "i was trying to figure out the formula for that 😭",
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"timestamp": "03/05/2022 21:41:40",
"content": "to generate a line of those values (distance, midpoint, opposite line, rotation)",
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"timestamp": "03/05/2022 21:42:03",
"content": "Umm well",
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"timestamp": "03/05/2022 21:42:12",
"content": "Let's say $c_1$ and $c_2$",
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"timestamp": "03/05/2022 21:42:15",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:42:21",
"content": "Are two points on the x, y grid",
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"timestamp": "03/05/2022 21:42:28",
"content": "Ok?",
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"timestamp": "03/05/2022 21:42:34",
"content": "Mhm",
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"timestamp": "03/05/2022 21:43:29",
"content": "Now let's say the x component of $c_1$ is $x_1$ and for $c_2$ is $x_2$ in the same way y components are $y_1$ and $y_2$",
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"timestamp": "03/05/2022 21:43:32",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:43:51",
"content": "Then the slope of the line connecting the two points, can you find it?",
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"content": "yes",
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"content": "(x_2-x_1)/(y_2/y_1)",
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"id": 949860040263761900,
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"timestamp": "03/05/2022 21:44:41",
"content": "Did u made a typo?",
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"timestamp": "03/05/2022 21:44:52",
"content": "i've no clue how to use the bot",
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"timestamp": "03/05/2022 21:44:53",
"content": "😭",
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"id": 949860177916608500,
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"timestamp": "03/05/2022 21:45:13",
"content": "Umm ur wrong",
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"timestamp": "03/05/2022 21:45:21",
"content": "What is the change in y axis",
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"timestamp": "03/05/2022 21:45:30",
"content": "Between the two points",
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"timestamp": "03/05/2022 21:45:32",
"content": "oh oops",
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"timestamp": "03/05/2022 21:45:34",
"content": "yeah typo LOL",
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"timestamp": "03/05/2022 21:45:35",
"content": "i meant -",
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"timestamp": "03/05/2022 21:46:20",
"content": "$(x_2-x_1)/(y_2-y_1)$",
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"timestamp": "03/05/2022 21:46:23",
"content": "**calamixy**",
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"timestamp": "03/05/2022 21:46:36",
"content": "No",
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"timestamp": "03/05/2022 21:46:50",
"content": "? you asked for slope",
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"timestamp": "03/05/2022 21:46:59",
"content": "$\\frac {y_2-y_1}{x_2-x_1}$",
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"timestamp": "03/05/2022 21:47:02",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:47:06",
"content": "U made a small mistake ig",
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"timestamp": "03/05/2022 21:47:13",
"content": "oopsies",
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"id": 949860730394529900,
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"timestamp": "03/05/2022 21:47:25",
"content": "Anyways can you find the intercept now",
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"timestamp": "03/05/2022 21:47:47",
"content": "Btw there are even better ways of solving this but I am showing the simplest now",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:48:41",
"content": "$\\frac b = {y}{mx}",
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"timestamp": "03/05/2022 21:48:49",
"content": "$\\frac b = {y}{mx}$",
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"timestamp": "03/05/2022 21:48:52",
"content": "**calamixy**",
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"timestamp": "03/05/2022 21:48:56",
"content": "that's not rigth",
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"timestamp": "03/05/2022 21:48:56",
"content": "LOL",
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"timestamp": "03/05/2022 21:48:59",
"content": "b = y/-(mx)",
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"timestamp": "03/05/2022 21:49:02",
"content": "Dw u can right normally",
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"timestamp": "03/05/2022 21:49:18",
"content": "Eh I asked the intercept",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:49:31",
"content": "y=mx+b describes the line, b is the intercept?",
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"timestamp": "03/05/2022 21:49:35",
"content": "confused",
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"id": 949861466444537900,
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"timestamp": "03/05/2022 21:50:21",
"content": "Hmm I think it's getting hard to tell how to do this on plain text",
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"id": 949861551391776800,
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"timestamp": "03/05/2022 21:50:41",
"content": "Do you know how to draw a tangent to a function?",
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"timestamp": "03/05/2022 21:50:47",
"content": "unfortunately no",
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"id": 949861635588227100,
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"timestamp": "03/05/2022 21:51:01",
"content": "Hmm",
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"timestamp": "03/05/2022 21:51:15",
"content": "ok let's see $f(x) = mx+c$",
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"timestamp": "03/05/2022 21:51:17",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:51:22",
"content": "We have computed for m",
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"id": 949861746674397200,
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"timestamp": "03/05/2022 21:51:27",
"content": "But we don't know about c",
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"id": 949861814924083200,
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"timestamp": "03/05/2022 21:51:44",
"content": "What if I edit this formula",
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"id": 949861991290388600,
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"timestamp": "03/05/2022 21:52:26",
"content": "$f(x) = m(x-x_1) + c$",
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"timestamp": "03/05/2022 21:52:28",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:52:38",
"content": "Can you now find intercept",
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"timestamp": "03/05/2022 21:53:05",
"content": "c is the intercept?",
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"timestamp": "03/05/2022 21:53:10",
"content": "Yup",
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"timestamp": "03/05/2022 21:54:07",
"content": ":sadcatthumbsup: think of what",
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"id": 949862459009798100,
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"timestamp": "03/05/2022 21:54:17",
"content": "$x-x_1$",
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"author_name": "TeXit",
"timestamp": "03/05/2022 21:54:20",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:54:28",
"content": "Does when x=x_1",
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"timestamp": "03/05/2022 21:55:17",
"content": "$y-x+x_1/m = c$",
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"timestamp": "03/05/2022 21:55:19",
"content": "**calamixy**",
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"timestamp": "03/05/2022 21:55:32",
"content": "wait wait",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:55:44",
"content": "$y-(x+x_1)/m = c$",
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"timestamp": "03/05/2022 21:55:46",
"content": "**calamixy**",
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"timestamp": "03/05/2022 21:55:54",
"content": "x-x_1 is shifting each x value by a factor x_1 left wards",
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"id": 949862914427330600,
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"timestamp": "03/05/2022 21:56:06",
"content": "I doubt if this will require u any algebra",
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"timestamp": "03/05/2022 21:56:21",
"content": "If you can imagine what is happening inside the graph",
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"id": 949862993024385000,
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"timestamp": "03/05/2022 21:56:25",
"content": "same follows for y?",
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"author_name": "calamixy",
"timestamp": "03/05/2022 21:56:33",
"content": "y-y_1",
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"id": 949863173991846000,
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"timestamp": "03/05/2022 21:57:08",
"content": "Probably no",
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{
"id": 949863407023194200,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 21:58:03",
"content": "It is shifting $c_1$ to 0 on x axis and the y coordinate of $c_1$ is $y_1$",
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"id": 949863443098402800,
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"timestamp": "03/05/2022 21:58:12",
"content": "Thus ur intercept is $y_1$ get it",
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},
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"id": 949863577085411300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/05/2022 21:58:44",
"content": "**CatHashira**",
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"author_name": "TeXit",
"timestamp": "03/05/2022 21:58:57",
"content": "**CatHashira**",
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"timestamp": "03/05/2022 21:59:05",
"content": "Ye now it's structured",
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},
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"id": 949863779523493900,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 21:59:32",
"content": "ah yeah",
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},
{
"id": 949863889514926100,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 21:59:58",
"content": "Is it clear?",
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},
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"id": 949863932116484100,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:00:09",
"content": "yes thank you",
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},
{
"id": 949863943608873100,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:00:11",
"content": "c.close",
"attachments": [],
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},
{
"id": 949863953549373600,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 22:00:14",
"content": "The best possible solution to this will be even harder",
"attachments": [],
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"reference": null
},
{
"id": 949863964588781600,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 22:00:16",
"content": "Wait don't close",
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},
{
"id": 949863985983930500,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:00:21",
"content": "ah alr",
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},
{
"id": 949863986411757600,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 22:00:21",
"content": "Do you know calculus?",
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"id": 949864003096707200,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:00:25",
"content": "nah :c",
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},
{
"id": 949864085464449000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/05/2022 22:00:45",
"content": "Ah then I think this is the only way",
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{
"id": 949864101708968000,
"author_id": 909734400990785500,
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"timestamp": "03/05/2022 22:00:49",
"content": "👍",
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"id": 949864142167228400,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:00:59",
"content": "thank you so much",
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"id": 949864151432442000,
"author_id": 607747617182711800,
"author_name": "calamixy",
"timestamp": "03/05/2022 22:01:01",
"content": ".close",
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},
{
"id": 949864154112618500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 22:01:01",
"content": "Channel closed",
"attachments": [],
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] | help-10 | fe31c7329562478ab009dd3466739d2b |
1,055 | [
{
"id": 949881864267645000,
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"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 23:11:24",
"content": "Available help channel!",
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{
"id": 949888153534226600,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 23:36:23",
"content": "In this question they're using the formula pi r^2 divided by 2. I am confused that for what that formula is used. What are they finding by using the formula",
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"timestamp": "03/05/2022 23:36:24",
"content": "Pinned a message.",
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"id": 949888528232357900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/05/2022 23:37:53",
"content": "surface area of a cylinder",
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},
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"id": 949888543633834000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/05/2022 23:37:56",
"content": "warning im p sure this books last formula was incorrect",
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},
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"id": 949888558594928600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/05/2022 23:38:00",
"content": "if someone is answerin",
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},
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"id": 949888580296245200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/05/2022 23:38:05",
"content": "so not a good track record",
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"author_id": 261933205387477000,
"author_name": "riemann",
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"content": "",
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"id": 949888734453715000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/05/2022 23:38:42",
"content": "what the heck is upper",
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},
{
"id": 949888827617579000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 23:39:04",
"content": "i think it used the wrong formula for surface area of the semisphere",
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},
{
"id": 949888892042092500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 23:39:19",
"content": "which is a word i just made up btw",
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},
{
"id": 949888921075089400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/05/2022 23:39:26",
"content": "hemisphere area should be (4 pi r^2) / 2",
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},
{
"id": 949888922249470000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 23:39:27",
"content": "claiming it as my own",
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},
{
"id": 949889007704215600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/05/2022 23:39:47",
"content": "Bro πr²h is volume. It ain't even the right units",
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"id": 949889048867119100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/05/2022 23:39:57",
"content": "What is your book",
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},
{
"id": 949889095872696300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 23:40:08",
"content": "lmfao that too",
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"id": 949889238919413800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/05/2022 23:40:42",
"content": "is it using 22/7 to approximate pi wtf",
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"id": 949891929334755300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/05/2022 23:51:24",
"content": "@CS Has your question been resolved?",
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"id": 949892933895729200,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/05/2022 23:55:23",
"content": "So if the book is wrong then how should I solve it",
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},
{
"id": 949894843826573300,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "03/06/2022 00:02:58",
"content": ":bleak: πr²h is volume",
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"id": 949896130261573600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/06/2022 00:08:05",
"content": "What do you mean approximation. It's exact! #im-from-year-500-bc",
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"id": 949896585611984900,
"author_id": 740835454357602300,
"author_name": "ashish",
"timestamp": "03/06/2022 00:09:54",
"content": "It could be misprinted",
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{
"id": 949897889474310100,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/06/2022 00:15:05",
"content": "So I am supposed to find the surface area of the shape by adding the surface area of cylinder and surface area of hemisphere?",
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"id": 949897921892081700,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "03/06/2022 00:15:12",
"content": "They do approximate like this in middle school",
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"author_name": "piang",
"timestamp": "03/06/2022 00:15:30",
"content": "Yes",
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"id": 949898190197489700,
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"author_name": "CS",
"timestamp": "03/06/2022 00:16:16",
"content": "Okay thanks",
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"id": 949898211907231700,
"author_id": 770490671827910700,
"author_name": "CS",
"timestamp": "03/06/2022 00:16:21",
"content": ".close",
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},
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"id": 949898213412991000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/06/2022 00:16:22",
"content": "Channel closed",
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] | help-10 | 14995a822508478babe1031aa07c33dd |
1,056 | [
{
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"timestamp": "03/06/2022 00:17:22",
"content": "Available help channel!",
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},
{
"id": 949906892598165500,
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"content": "Pinned a message.",
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"id": 949906945828077600,
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"author_name": "Kuri",
"timestamp": "03/06/2022 00:51:04",
"content": "i am really confused on how to sketch this 😦",
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"id": 949908507535212500,
"author_id": 331558346333224960,
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"timestamp": "03/06/2022 00:57:16",
"content": "carefully",
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"timestamp": "03/06/2022 00:57:28",
"content": "heres what i got",
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"id": 949908577756254200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 00:57:33",
"content": "lookin kinda paraboloidy",
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"id": 949908756035170300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 00:58:15",
"content": "which, yea",
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"id": 949908822032531500,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 00:58:31",
"content": "did i draw mine wrong? :HuTao_cry:",
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{
"id": 949908875300196400,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 00:58:44",
"content": "wait i should try to set every variable to 0?",
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"id": 949909227747565700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:00:08",
"content": "thats what id do",
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{
"id": 949909268990148600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:00:18",
"content": "the youre just graphing in a plane",
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{
"id": 949909351857000400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:00:37",
"content": "and dont solve them explicitly",
"attachments": [],
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},
{
"id": 949909385147207700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:00:45",
"content": "if it can be avoided",
"attachments": [],
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},
{
"id": 949909424296845300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:00:55",
"content": "graph them using your head",
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},
{
"id": 949909572192186400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:01:30",
"content": "like clearly x=0 giving 0 =y² +3z² is a single point and not a curve",
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},
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"id": 949909775192305700,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:02:18",
"content": "its a single point?",
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},
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"timestamp": "03/06/2022 01:02:34",
"content": "yea",
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"timestamp": "03/06/2022 01:02:38",
"content": "i thought you can try solving for z but it ended with negative root",
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"timestamp": "03/06/2022 01:02:54",
"content": "i didnt know what to do there",
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"timestamp": "03/06/2022 01:03:15",
"content": "its hard for me to do it in my head",
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"timestamp": "03/06/2022 01:03:21",
"content": "im way too used to 2 dimensional graphinh",
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"timestamp": "03/06/2022 01:03:29",
"content": "and i just try to make it perpendicular",
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"timestamp": "03/06/2022 01:03:37",
"content": "lol my corputer crashed now discord wont start",
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"id": 949910113479708700,
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"timestamp": "03/06/2022 01:03:39",
"content": "awesome",
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"id": 949910135680172000,
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"timestamp": "03/06/2022 01:03:44",
"content": ":sweatyu:",
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"id": 949910160917295100,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:03:50",
"content": "why?",
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"timestamp": "03/06/2022 01:04:46",
"content": "nice",
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"id": 949910401317994500,
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"timestamp": "03/06/2022 01:04:48",
"content": "were back in action",
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"timestamp": "03/06/2022 01:04:59",
"content": "so fantastic news is it is 2 d graphing :happy:",
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"timestamp": "03/06/2022 01:05:05",
"content": "we can do through",
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:05:20",
"content": "do you see how z=0 gives x=y^2?",
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"timestamp": "03/06/2022 01:06:17",
"content": "yes",
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:06:27",
"content": "and that this solution lays in the xy plane?",
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"timestamp": "03/06/2022 01:07:46",
"content": "which makes it like 2d graphing",
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"timestamp": "03/06/2022 01:07:49",
"content": "only a little skewed",
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"timestamp": "03/06/2022 01:11:08",
"content": "wait when i rewrite it would it jut be the same graph? :xD:",
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"timestamp": "03/06/2022 01:11:12",
"content": "i think that was my mistake",
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"timestamp": "03/06/2022 01:11:25",
"content": "yes",
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"timestamp": "03/06/2022 01:11:41",
"content": "yeah what im understanding is draw it in 2-d and try to place it perpendicular to each other",
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"timestamp": "03/06/2022 01:12:03",
"content": "dont change it to y=sqrt x",
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"timestamp": "03/06/2022 01:12:12",
"content": "its x=y^2",
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"timestamp": "03/06/2022 01:12:18",
"content": ",w graph x=y^2",
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"timestamp": "03/06/2022 01:12:20",
"content": "Results provided by WolframAlpha",
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"timestamp": "03/06/2022 01:12:27",
"content": "yeah",
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"timestamp": "03/06/2022 01:12:28",
"content": ":Sadge:",
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"timestamp": "03/06/2022 01:12:34",
"content": "what sadge",
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"timestamp": "03/06/2022 01:12:38",
"content": "sadge at me",
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"timestamp": "03/06/2022 01:12:39",
"content": "?",
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"timestamp": "03/06/2022 01:12:41",
"content": ":sadcat:",
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"id": 949912391959859200,
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"timestamp": "03/06/2022 01:12:42",
"content": "no sadge at me",
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"timestamp": "03/06/2022 01:12:45",
"content": "oh",
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"id": 949912413644398600,
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"timestamp": "03/06/2022 01:12:47",
"content": "youre doin great",
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"id": 949912421831671800,
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:12:49",
"content": "halfway there",
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"id": 949912430534869000,
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"timestamp": "03/06/2022 01:12:51",
"content": "or thirdway there idk",
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"timestamp": "03/06/2022 01:12:56",
"content": "XD",
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"id": 949912475300671500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:13:02",
"content": "same graph?",
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"timestamp": "03/06/2022 01:13:15",
"content": "yeah what you showed me here",
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"timestamp": "03/06/2022 01:13:33",
"content": "yup",
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"timestamp": "03/06/2022 01:13:44",
"content": "its just a parabola",
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"timestamp": "03/06/2022 01:13:48",
"content": "so is the uhh",
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"timestamp": "03/06/2022 01:13:50",
"content": "y=0 part",
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"id": 949912756184821800,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:14:09",
"content": "ok so its best to set every component to 0 right?",
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"timestamp": "03/06/2022 01:14:15",
"content": "one by one, yea",
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"id": 949912802343125000,
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"timestamp": "03/06/2022 01:14:20",
"content": "theres three intersecting planes",
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"timestamp": "03/06/2022 01:14:30",
"content": "so the hope is you get three curves",
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"timestamp": "03/06/2022 01:14:35",
"content": "and together they sort of form a picture",
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"id": 949912868931924100,
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"timestamp": "03/06/2022 01:14:36",
"content": "ok let me try",
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"id": 949912880306868200,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:14:39",
"content": "again",
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"id": 949912884157251600,
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"timestamp": "03/06/2022 01:14:40",
"content": "it doesnt always happen but usually it does",
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"timestamp": "03/06/2022 01:14:41",
"content": "okay",
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"timestamp": "03/06/2022 01:20:39",
"content": "",
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"timestamp": "03/06/2022 01:20:40",
"content": "ah okok",
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"timestamp": "03/06/2022 01:20:52",
"content": "this looks alot clearer now",
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"timestamp": "03/06/2022 01:21:01",
"content": "let me try another problem",
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"timestamp": "03/06/2022 01:22:18",
"content": "😄",
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"timestamp": "03/06/2022 01:22:20",
"content": ":happy:",
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"timestamp": "03/06/2022 01:30:03",
"content": "T_T",
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"id": 949916762781151200,
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"timestamp": "03/06/2022 01:30:04",
"content": "im stuck again",
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"timestamp": "03/06/2022 01:30:31",
"content": "hmm okay",
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"timestamp": "03/06/2022 01:30:41",
"content": "so lets start with x=0",
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"timestamp": "03/06/2022 01:30:51",
"content": "x=0 gives -y^2+5z^2+25=0",
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"timestamp": "03/06/2022 01:30:55",
"content": "do you recognize this?",
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"id": 949917002015858700,
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"timestamp": "03/06/2022 01:31:01",
"content": "yeah",
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"timestamp": "03/06/2022 01:31:06",
"content": "y^2 = 5z^2 + 25",
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:31:23",
"content": "what kind of shape is it",
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"id": 949917143053533200,
"author_id": 331558346333224960,
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"timestamp": "03/06/2022 01:31:35",
"content": "what sort of curve",
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"timestamp": "03/06/2022 01:31:39",
"content": "",
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"timestamp": "03/06/2022 01:31:42",
"content": "no",
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"id": 949917184753270800,
"author_id": 181493658212630530,
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"timestamp": "03/06/2022 01:31:45",
"content": "no?",
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"id": 949917285148139500,
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"timestamp": "03/06/2022 01:32:09",
"content": "well",
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"timestamp": "03/06/2022 01:32:11",
"content": "its a hyperbola",
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"content": "you dont need them",
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"content": "but theyll make your life easier!",
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"content": "you dont need any numbers",
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"content": "just these shapes",
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"content": "you get these common forms like",
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"content": "x^2 + y^2 = 1",
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"content": "why is this a hyperbola?",
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"content": "x^2 - y^2 = 1",
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"content": "so first, well isolate the constant and make it positive",
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"content": "do i have to memorize those?",
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"content": "what you should remember is like",
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"content": "x^2+y^2=1",
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"content": "this is a round shape",
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"content": "5z^2-y^2= c",
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"content": "around the origin",
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"content": "x^2 - y^2 = 1",
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"content": "this is a hyperbola, it avoids the origin",
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"content": "ohh...",
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"content": "it avoids the axis which has the - before it",
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"content": "but i have to memorize every shape?",
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"content": "i would memorize these two",
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"content": "in this general way",
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"content": "but you dont have to",
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"content": "they just come up often",
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"content": "especially hyperbola, and it has an untuitive shape",
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"content": "its not immediately evident like",
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"content": "-y^2 + 5z^2 + 25 = 0",
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"content": "its not immediately clear to me what this looks like",
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"content": "yeah",
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"content": "same",
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"content": "so you memorize a form",
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"content": "i would try to move y to the otherside",
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"content": "and solve for y",
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"content": "there is no good way to make this explicit",
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"content": "as in like",
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"content": "y= something",
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"content": "or z=something",
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"content": "its just a curve that involves variables",
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"timestamp": "03/06/2022 01:36:01",
"content": "like it makes more sense to write a circle as x^2 + y^2 = 1",
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"timestamp": "03/06/2022 01:36:10",
"content": "than $y = \\pm \\sqrt {1 - x^2}$",
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"timestamp": "03/06/2022 01:36:13",
"content": "**jan Niku (Shuri for Honorable)**",
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"content": "so all you need to memorize",
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"content": "two things squared",
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"content": "minus between them",
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"content": "equals a positive constant",
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"content": "ok",
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"content": "it is a hyperbola",
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"content": "$y^2 -5z^2 = 25$",
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"timestamp": "03/06/2022 01:36:55",
"content": "okok",
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"timestamp": "03/06/2022 01:36:56",
"content": "this was it right",
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"timestamp": "03/06/2022 01:36:57",
"content": "**jan Niku (Shuri for Honorable)**",
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"content": "uh 5z^2 -y^2 = -25",
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"content": "its a hyperbola, and it avoids the axis attached to the negative",
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"content": "they have to equal a positive constant",
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"timestamp": "03/06/2022 01:37:25",
"content": "oh",
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"content": "well really really they have to equal one",
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"timestamp": "03/06/2022 01:37:28",
"content": "oh righ",
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"timestamp": "03/06/2022 01:37:30",
"content": "but i wouldnt worry about that immediately",
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"timestamp": "03/06/2022 01:37:31",
"content": "i see what you did",
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"content": "yeah",
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"content": "just make sure its positive",
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"content": "okok",
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"timestamp": "03/06/2022 01:37:46",
"content": "okay, so this hyperbola avoids which axis?",
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"content": "x?",
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"content": "no",
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"timestamp": "03/06/2022 01:38:09",
"content": "it avoids the axis attached to the negative",
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"timestamp": "03/06/2022 01:38:16",
"content": ":E_think:",
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"timestamp": "03/06/2022 01:38:24",
"content": "ok i see",
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"timestamp": "03/06/2022 01:38:37",
"content": "so let me try to draw it",
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"content": "okok let me try the xy plane and zx plane with that chart you gave",
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"content": ",w 3d plot y^2-5z^2=25",
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"timestamp": "03/06/2022 01:46:15",
"content": "the blue one i ignore right?",
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"timestamp": "03/06/2022 01:46:18",
"content": "nothing i can do about that",
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"content": ",w 3d plot 25x^2-y^2+5z^2+25=0",
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"content": "yea you can kind of think like",
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"content": "you have two hyperbolas right",
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"content": "in the other planes",
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"content": "so you got these hyper fellas that are trying to avoid that axis",
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"content": "is how i interpret",
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"content": "you can reason through like",
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"content": "square is positiv",
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"content": "so negative square is negative",
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"content": "two negative squares is def negative",
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"content": "so them equalling a positive is never gonna happen",
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"timestamp": "03/06/2022 01:48:12",
"content": "id say u got it 😄",
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"content": "yeah",
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"content": "if you want to get your sketches more accurate",
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"timestamp": "03/06/2022 01:48:33",
"content": "im just worried i come across more complicated shapes",
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"timestamp": "03/06/2022 01:48:39",
"content": "you can learn conics with a little more precision",
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"id": 949921463295701000,
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"timestamp": "03/06/2022 01:48:45",
"content": "which ones would you suggest i memorize?",
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"timestamp": "03/06/2022 01:48:49",
"content": "the shapes",
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"timestamp": "03/06/2022 01:48:51",
"content": "just hyperbolas?",
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"timestamp": "03/06/2022 01:48:55",
"content": "you can memorize all conic sections",
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"timestamp": "03/06/2022 01:48:57",
"content": "are you in calc iii?",
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"timestamp": "03/06/2022 01:49:09",
"content": "yeah",
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"timestamp": "03/06/2022 01:49:09",
"content": "what class is this",
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"timestamp": "03/06/2022 01:49:11",
"content": "yea",
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"timestamp": "03/06/2022 01:49:12",
"content": "i mean",
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"timestamp": "03/06/2022 01:49:13",
"content": "calc 3",
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"timestamp": "03/06/2022 01:49:17",
"content": "youre going to learn them at some point anyways",
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"id": 949921626126958600,
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"timestamp": "03/06/2022 01:49:24",
"content": "if you have the study time to do it",
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"timestamp": "03/06/2022 01:49:27",
"content": "theres not very many of them",
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"timestamp": "03/06/2022 01:49:27",
"content": "my professor went over them in 1 day",
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"timestamp": "03/06/2022 01:49:30",
"content": "its hard to remember",
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"timestamp": "03/06/2022 01:49:48",
"content": "you probably already know most of them anyways",
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"id": 949921774085234700,
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"timestamp": "03/06/2022 01:49:59",
"content": "1 chapter section each day",
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"timestamp": "03/06/2022 01:50:06",
"content": "i hated calc iii too",
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"timestamp": "03/06/2022 01:50:09",
"content": "it gets better",
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"id": 949921829785600000,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:50:12",
"content": "it moves too fast",
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"id": 949921841940672500,
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"timestamp": "03/06/2022 01:50:15",
"content": "ye",
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"timestamp": "03/06/2022 01:50:29",
"content": "just wait till PDE",
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"timestamp": "03/06/2022 01:50:29",
"content": "before the shapes, it was vectors",
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"timestamp": "03/06/2022 01:50:31",
"content": "it will all make sense",
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"id": 949921921267556400,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:50:34",
"content": "PDE?",
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:50:40",
"content": "yea they cram too much stuff in calc iii",
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"timestamp": "03/06/2022 01:50:43",
"content": "its really a miserable class",
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"id": 949921979237036200,
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"timestamp": "03/06/2022 01:50:48",
"content": "T_T",
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"id": 949921986879029200,
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"timestamp": "03/06/2022 01:50:50",
"content": "partial differential equations",
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"id": 949922019523309600,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:50:58",
"content": "sounds difficult",
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"id": 949922057792135200,
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"timestamp": "03/06/2022 01:51:07",
"content": "it will make everything in calc iii make sense",
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"timestamp": "03/06/2022 01:51:16",
"content": "",
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"id": 949922131116957700,
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"timestamp": "03/06/2022 01:51:24",
"content": "hopefully i can understand",
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"id": 949922132178141200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:51:25",
"content": "but",
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"timestamp": "03/06/2022 01:51:28",
"content": "youll be good",
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"id": 949922183126331400,
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"timestamp": "03/06/2022 01:51:37",
"content": "https://youtu.be/PLrgwD9TleU",
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"timestamp": "03/06/2022 01:51:38",
"content": "just memorize and cheet sheet",
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"id": 949922196288057300,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:51:40",
"content": ":pain:",
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"id": 949922198288740400,
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"timestamp": "03/06/2022 01:51:40",
"content": "if u get one",
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"id": 949922227040682000,
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"timestamp": "03/06/2022 01:51:47",
"content": "no cheatsheet i think",
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"author_name": "jan Niku",
"timestamp": "03/06/2022 01:51:50",
"content": "ask your teacher how precisely u have to draw these",
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"id": 949922240785449000,
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"author_name": "Kuri",
"timestamp": "03/06/2022 01:51:50",
"content": "i have to memorize everything",
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"timestamp": "03/06/2022 01:52:05",
"content": "fwiw they dont get too complicated",
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"timestamp": "03/06/2022 01:52:20",
"content": "since it requires a lot of reasoning to do anything without an incredible amount of symmetry",
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"timestamp": "03/06/2022 01:52:43",
"content": "yeah ig",
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"id": 949922485091053600,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:52:49",
"content": "its difficult to precisely draw something",
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"id": 949922503189487600,
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"timestamp": "03/06/2022 01:52:53",
"content": "it really is",
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"id": 949922509300596700,
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"timestamp": "03/06/2022 01:52:54",
"content": "only computers can do that",
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"id": 949922512865743000,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:52:55",
"content": ":xD:",
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},
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"id": 949922526019059700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:52:58",
"content": "i mean",
"attachments": [],
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},
{
"id": 949922541215043600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:53:02",
"content": "my visual sense is garbage",
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},
{
"id": 949922554880098300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:53:05",
"content": "in my head i cant see things",
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},
{
"id": 949922573599277000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:53:10",
"content": "i sure as heck cant draw them",
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},
{
"id": 949922639596642300,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:53:25",
"content": "same i cant imagine it in my head",
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},
{
"id": 949922659318235100,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:53:30",
"content": ":pain:",
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},
{
"id": 949922775131390000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:53:58",
"content": "calc iii is garbage but just crush it",
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},
{
"id": 949922791682089100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:02",
"content": "its a low point for sure",
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},
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"id": 949922802557927600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:04",
"content": "ODE is great",
"attachments": [],
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},
{
"id": 949922811319828500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:06",
"content": "PDE is great",
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},
{
"id": 949922820182409200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:09",
"content": "lin alg is great",
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},
{
"id": 949922839442636800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:13",
"content": "pretty much every math class after that is great",
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},
{
"id": 949922850637226100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:16",
"content": "except stats 1",
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},
{
"id": 949922857729802200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:54:17",
"content": ":bleak:",
"attachments": [],
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},
{
"id": 949922879389175800,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:54:23",
"content": "im taking lin alg with calc 3 rn",
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},
{
"id": 949922894832627700,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:54:26",
"content": "so painful",
"attachments": [],
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"reference": null
},
{
"id": 949922898733301900,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:54:27",
"content": "T_T",
"attachments": [],
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"reference": null
},
{
"id": 949922994296356900,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:54:50",
"content": "it sort of coincide in during the vectors portion but at the same time parametric equations still confuses me",
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"reference": null
},
{
"id": 949923000893972500,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:54:52",
"content": ":elmoburn:",
"attachments": [],
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},
{
"id": 949923061304553500,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:06",
"content": "LOL yeah",
"attachments": [],
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"id": 949923083710529500,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:11",
"content": "i took stats last semester it made no sense to me",
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},
{
"id": 949923103776067600,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:16",
"content": "its just pure memorization",
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},
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"id": 949923181194543100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:55:35",
"content": "i have to sleep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 949923193794211800,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:38",
"content": "okok",
"attachments": [],
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},
{
"id": 949923195937488900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:55:38",
"content": "ull be fine",
"attachments": [],
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"reference": null
},
{
"id": 949923202786807900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/06/2022 01:55:40",
"content": "💪",
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},
{
"id": 949923220964933600,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:44",
"content": "Thank you so much for your help!",
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},
{
"id": 949923226102923300,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:45",
"content": "T_T",
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},
{
"id": 949923254661951500,
"author_id": 181493658212630530,
"author_name": "Kuri",
"timestamp": "03/06/2022 01:55:52",
"content": "you helped alot",
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"id": 949923383573872600,
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"timestamp": "03/06/2022 01:56:23",
"content": ".close",
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},
{
"id": 949923384991563800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/06/2022 01:56:23",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | c26880605aaa4a73b845222ecbcd8906 |
1,057 | [
{
"id": 907315744075817000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 12:08:50",
"content": "Available help channel!",
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},
{
"id": 907316307131777000,
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"timestamp": "11/08/2021 12:11:05",
"content": "Pinned a message.",
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},
{
"id": 907319872457953300,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "11/08/2021 12:25:14",
"content": "apply trig formulae",
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},
{
"id": 907319928909070300,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "11/08/2021 12:25:28",
"content": "do you know what cos(2t) can be rewritten as",
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},
{
"id": 907320060056588300,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:25:59",
"content": "cos^2theta-sin^2theta",
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},
{
"id": 907320122207785000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:26:14",
"content": "or 2cos^2theta-1",
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},
{
"id": 907320390928433200,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:27:18",
"content": "https://tenor.com/view/yoda-there-is-another-star-wars-jedi-gif-5140031",
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},
{
"id": 907320458851020800,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:27:34",
"content": "hmm",
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},
{
"id": 907320513402110000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:27:47",
"content": "1-2sin^2theta",
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},
{
"id": 907320536076546200,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:27:53",
"content": "Yes",
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},
{
"id": 907320990286090200,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:29:41",
"content": "okay I think I did something wrong, I end up with 19sin^2t-6=0?",
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},
{
"id": 907322336649281500,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:35:02",
"content": "Uhh",
"attachments": [],
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},
{
"id": 907322373647253500,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:35:11",
"content": "Did you use the sin^2 formula",
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},
{
"id": 907322725905858600,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:36:35",
"content": "yeah so I'm trying it again, but I changed cos and here is what it looks like before I multiply the 6, 7sin^2t-6(1-2sin^2t)=0",
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},
{
"id": 907322867027427300,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:37:08",
"content": "That looks right to me",
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},
{
"id": 907322974670037000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:37:34",
"content": "okay then I get 7sin^2t-6+12sin^2t=0",
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},
{
"id": 907323091770810400,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:38:02",
"content": "Yes",
"attachments": [],
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"reference": null
},
{
"id": 907323223350345700,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:38:33",
"content": "do I combine 12sin^2t and 7sin^2t?",
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},
{
"id": 907323298050900000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:38:51",
"content": "or can I lol",
"attachments": [],
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"reference": null
},
{
"id": 907323308847005700,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:38:54",
"content": "Ye",
"attachments": [],
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"reference": null
},
{
"id": 907323350408364000,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:39:03",
"content": "It's just like combining a variable",
"attachments": [],
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},
{
"id": 907323380812902400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "11/08/2021 12:39:11",
"content": "this is right",
"attachments": [],
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},
{
"id": 907323410462429200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "11/08/2021 12:39:18",
"content": "your answers are just gonna be depressing",
"attachments": [],
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},
{
"id": 907323416498020400,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:39:19",
"content": "Yeah I think it's right also",
"attachments": [],
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},
{
"id": 907323460286566400,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:39:30",
"content": "right ok so now 19sin^2t-6=0",
"attachments": [],
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},
{
"id": 907323558282285000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:39:53",
"content": "I'm stuck here, no idea where to go next",
"attachments": [],
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"reference": null
},
{
"id": 907323647612555300,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:40:14",
"content": "Just isolate the sin^2 as a first step ig",
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},
{
"id": 907323677551505400,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:40:21",
"content": "oh wait, yeah okay let me do that",
"attachments": [],
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"reference": null
},
{
"id": 907323725005881500,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:40:33",
"content": "Or actually isolate just the sin",
"attachments": [],
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"reference": null
},
{
"id": 907324029784957000,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:41:45",
"content": "sin(t)=rad6/19 ?",
"attachments": [],
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"reference": null
},
{
"id": 907324066539651100,
"author_id": 652336711325712400,
"author_name": "quantum",
"timestamp": "11/08/2021 12:41:54",
"content": "not exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324092363989000,
"author_id": 652336711325712400,
"author_name": "quantum",
"timestamp": "11/08/2021 12:42:00",
"content": "remember it could be negative",
"attachments": [],
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"reference": null
},
{
"id": 907324125855514600,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:42:08",
"content": "+/- k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324190384848900,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:42:24",
"content": "Can you use a calculator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324295871610900,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:42:49",
"content": "professor says we shouldn't have too but the prompt says too. So I'm going to",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324322132144100,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:42:55",
"content": ":sully:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324391786950700,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:43:12",
"content": "He's the worst, you guys are helping me more than he has all semester",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324400490123300,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:43:14",
"content": "ty",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324411936379000,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:43:17",
"content": "Ask your professor to solve arcsin(37/618)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324456983203800,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:43:27",
"content": "yeah I know, hes crazy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324527992787000,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:43:44",
"content": "Maybe he wants you to put it in exact form with the arcsin?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324577514930300,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:43:56",
"content": "Then check your exact form with the calculator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324590932516900,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:43:59",
"content": "this prompt wants the degrees",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324610763186200,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:44:04",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907324663129071600,
"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:44:16",
"content": "Where did 37 and 618 come from?",
"attachments": [],
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"reference": null
},
{
"id": 907324693755875300,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:44:24",
"content": "I was just joking",
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"author_id": 725571379319144400,
"author_name": "Mr. Blonde",
"timestamp": "11/08/2021 12:44:30",
"content": "oh lmao",
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"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:45:05",
"content": "But yeah uhhh",
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"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:45:14",
"content": "You'd just arcsin it",
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"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:45:32",
"content": "Just remember arcsin can have multiple solutions on top of the +-",
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"id": 907325134115831900,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:46:09",
"content": "Well arcsin can't but he would want you to give both",
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"id": 907325520247676900,
"author_id": 725571379319144400,
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"timestamp": "11/08/2021 12:47:41",
"content": "ok thank you!",
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"id": 907325559959322600,
"author_id": 251854584597708800,
"author_name": "PapaBread",
"timestamp": "11/08/2021 12:47:50",
"content": "Np",
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"timestamp": "11/08/2021 13:02:41",
"content": "@Mr. Blonde Has your question been resolved?",
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"timestamp": "11/08/2021 13:07:29",
"content": "Channel closed",
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] | help-10 | b93b9ca883d8494481ebd2ee015366a1 |
1,058 | [
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"id": 949923637761286100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/06/2022 01:57:23",
"content": "Available help channel!",
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"id": 949953749437272200,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 03:57:03",
"content": "Can someone give a hint how to do this, I just thought by IVT there is a $x_0 \\in [a,b]$ so that $f(x_0)(b-a) = \\int_a^b f(x) dx$ but then tried a couple of things to no success",
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"timestamp": "03/06/2022 03:57:36",
"content": "**Anticipation**",
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"timestamp": "03/06/2022 04:00:07",
"content": "$\\exists c_1, c_2 \\in (a, b), f(c_1) (b - a) = \\int_a^b f(x) dx, f'(c_2) = 0$",
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"id": 949954536318062600,
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"timestamp": "03/06/2022 04:00:10",
"content": "**Chromium**",
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"timestamp": "03/06/2022 04:00:13",
"content": ":thinkies:",
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"timestamp": "03/06/2022 04:03:11",
"content": "is that the hint?",
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"author_name": "s_chanch",
"timestamp": "03/06/2022 04:03:21",
"content": "idk",
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"timestamp": "03/06/2022 04:03:23",
"content": "thinking too",
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"timestamp": "03/06/2022 04:03:49",
"content": "ive tried doing this: so",
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"timestamp": "03/06/2022 04:05:25",
"content": "say $f(x_0)(b-a) = \\int_a^b f(x)$ is the IVT point for integral, then there is $c_1 \\in (a,x_0)$ and $c_2 \\in (x_0, b)$ so that $f'(c_1) = \\frac{\\int_a^b f(x)}{x_0-a}$ and $f'(c_2) = \\frac{\\int_a^b f(x)}{b-x_0}$",
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"author_name": "TeXit",
"timestamp": "03/06/2022 04:05:41",
"content": "**Anticipation**",
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"author_name": "Anticipation",
"timestamp": "03/06/2022 04:06:10",
"content": "but the problem is b-x_0 or x_0-a can be bigger than a quarter, maybe this helps (whenever its smaller or equal quarter we're done)",
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"id": 949959025217400800,
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"timestamp": "03/06/2022 04:18:00",
"content": "._.",
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"id": 949959390763581400,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/06/2022 04:19:28",
"content": "you integrate while considering t as your variable",
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"timestamp": "03/06/2022 04:19:39",
"content": "go back to #calculus lol",
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"author_id": 143769849233932290,
"author_name": "PixzleOne",
"timestamp": "03/06/2022 04:19:41",
"content": "occupied channel, don't just come asking wherever.",
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"timestamp": "03/06/2022 04:24:58",
"content": "bruh plz use another help channel",
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"timestamp": "03/06/2022 04:25:03",
"content": "theres available ones above",
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"timestamp": "03/06/2022 04:25:05",
"content": "ty",
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"timestamp": "03/06/2022 04:40:06",
"content": "@Anticipation Has your question been resolved?",
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"author_id": 507116799284740100,
"author_name": "EpicGuy4227",
"timestamp": "03/06/2022 04:48:34",
"content": "Uh I got 2 instead of 4 by splitting [a,b] by argmax f",
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"author_name": "Anticipation",
"timestamp": "03/06/2022 04:49:37",
"content": "ur referring to my question?",
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"timestamp": "03/06/2022 04:49:42",
"content": "yes",
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"id": 949967064079171600,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:49:57",
"content": "so u got a counterexample?",
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"id": 949967222766452700,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:50:35",
"content": ":catThink:",
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"id": 949967639856422900,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:52:14",
"content": "also argmax not necessarily exist cuz f isnt continuous?",
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"id": 949967782391459800,
"author_id": 507116799284740100,
"author_name": "EpicGuy4227",
"timestamp": "03/06/2022 04:52:48",
"content": "f is differentiable so continuous",
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"id": 949967809075638400,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:52:55",
"content": "ah right",
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"id": 949967822270902300,
"author_id": 734628928420839600,
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"timestamp": "03/06/2022 04:52:58",
"content": "i dumb",
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"author_id": 507116799284740100,
"author_name": "EpicGuy4227",
"timestamp": "03/06/2022 04:53:21",
"content": "ah and I was drawing pictures for f≥0 as well .-.",
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"id": 949968000910491600,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:53:40",
"content": "its ok i can ask prof or others",
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"id": 949968045210763300,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 04:53:51",
"content": "if the thread gets locked too long someone can just release it",
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"author_id": 701895792763600900,
"author_name": "s_chanch",
"timestamp": "03/06/2022 04:59:08",
"content": "you can ping helpers",
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"timestamp": "03/06/2022 05:04:29",
"content": "right thanks @Helpers",
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"id": 949970886381948900,
"author_id": 734628928420839600,
"author_name": "Anticipation",
"timestamp": "03/06/2022 05:05:08",
"content": "question is here",
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"id": 949972665731526700,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "03/06/2022 05:12:13",
"content": "$$\\int_a^b \\frac{1}{2}\\abs{f'(c)}(x - a) \\dd x \\overset{?}{\\geq} \\int_a^b f(x) \\dd x$$",
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"id": 949972675667832800,
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"author_name": "TeXit",
"timestamp": "03/06/2022 05:12:15",
"content": "**Ansh**",
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"author_name": "Ansh_",
"timestamp": "03/06/2022 05:17:32",
"content": "I really dislike these smartass IVT questions smh ._.",
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"timestamp": "03/06/2022 05:35:09",
"content": "@Anticipation Has your question been resolved?",
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"author_id": 507116799284740100,
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"timestamp": "03/06/2022 05:44:32",
"content": "I have some intuition. f is at most",
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"content": "Channel closed",
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] | help-10 | c15734eba35d4d2f91a8103e50bb2ad1 |
1,059 | [
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"id": 949989068828197000,
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"timestamp": "03/06/2022 06:17:23",
"content": "Excuse me",
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},
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"id": 949989071692918800,
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"content": "Pinned a message.",
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"content": "@harriet Has your question been resolved?",
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] | help-10 | 5f4bc217448c4992847b5440392de7a2 |
106 | [
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"timestamp": "01/16/2022 23:50:22",
"content": "Available help channel!",
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},
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"id": 932519048468652000,
"author_id": 627610565551980500,
"author_name": "bad life decisions",
"timestamp": "01/17/2022 01:17:46",
"content": "How would I graph f(x) = (x-3)(x^2 +x+1) ? I know that there's an x-intercept at (3,0) but how would I deal with the second part since there are no real solutions?",
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"timestamp": "01/17/2022 01:17:46",
"content": "Pinned a message.",
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"author_id": 758350848115212300,
"author_name": "Quasar",
"timestamp": "01/17/2022 01:20:40",
"content": "If youre graphing it on a real plane. An XY plane. Then the graph would intersect the X axis at only one point.",
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"id": 932519945361829900,
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"timestamp": "01/17/2022 01:21:20",
"content": ",w graph (x-3)(x^2 + x + 1)",
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"content": "Results provided by WolframAlpha",
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"timestamp": "01/17/2022 01:21:46",
"content": "Ohh so there'd be additional curves but they'd be below the x-axis that makes sense",
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"content": ".close",
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] | help-10 | 38dca5c727e04d75b27c2e262f2e4732 |
1,060 | [
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"timestamp": "03/06/2022 06:59:22",
"content": "Will my final equation to work out the time taken by each of them to wash the car be this:",
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"timestamp": "03/06/2022 07:01:43",
"content": "Anticipable enough, no one will answer as usual.",
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"id": 950001539517395000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
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"content": "Lol",
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"id": 950001620312272900,
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"author_name": "Remavas",
"timestamp": "03/06/2022 07:07:16",
"content": "> Assumption is the mother of all failures.",
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"id": 950001727858417700,
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"content": "Well, I'm not assuming here, I'm speaking from experience.",
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"id": 950001901758464000,
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"author_name": "Deleted User",
"timestamp": "03/06/2022 07:08:23",
"content": "Could you help me? If possible.",
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"timestamp": "03/06/2022 07:09:21",
"content": "$x(x - 60) = 72 \\implies x^2 - 60x = 72$ $$\\implies x^2 - 2\\cdot 30x = 72$$ $$\\implies x^2 - 2\\cdot 30x + 30^2 = 72 + 30^2$$ $$\\implies (x - 30)^2 = 30^2 + 72$$",
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"content": "**Ansh**",
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"content": "I'm not asking for the solution..lol.",
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"timestamp": "03/06/2022 07:09:59",
"content": "I'm asking whether or not this will be the final equation.",
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"content": "🤔",
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"timestamp": "03/06/2022 07:10:13",
"content": "well show us how you derived it",
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"timestamp": "03/06/2022 07:10:19",
"content": "that would help",
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"id": 950002515775197200,
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"timestamp": "03/06/2022 07:10:49",
"content": "Well, I haven't tried, I just spoke from my Intuition.",
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"timestamp": "03/06/2022 07:10:55",
"content": "Because I'm confused.",
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"author_name": "Deleted User",
"timestamp": "03/06/2022 07:11:24",
"content": "If they work together, the time taken to wash the car should be less than the time taken by either of them Individually.",
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"timestamp": "03/06/2022 07:11:29",
"content": "So you must divided here?",
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"content": "What if, instead of trying to intuitively guess the right equation, you derived it?",
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"content": "That way you can be sure it is correct too!",
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"content": "How?",
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"timestamp": "03/06/2022 07:12:56",
"content": "@Remavas",
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"timestamp": "03/06/2022 07:13:26",
"content": "Let x be the time it takes Kenneth to wash the car alone ( as you did I presume)",
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"timestamp": "03/06/2022 07:13:43",
"content": "First we need to determine what happens when both of them wash the car together",
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"timestamp": "03/06/2022 07:13:58",
"content": "**Nightsky**",
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"timestamp": "03/06/2022 07:14:02",
"content": "Yep",
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"id": 950003389134168000,
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"timestamp": "03/06/2022 07:14:18",
"content": "Hmm..",
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"timestamp": "03/06/2022 07:14:22",
"content": "The time taken will be less?",
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"timestamp": "03/06/2022 07:14:31",
"content": "Well of course, but we don't know by how much",
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"timestamp": "03/06/2022 07:14:49",
"content": "we only know it will take 72 minutes",
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"timestamp": "03/06/2022 07:15:25",
"content": "In this type of task, it is usually best if you look at the speeds of the people",
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"timestamp": "03/06/2022 07:15:55",
"content": "Kenneth's speed is 1/x cars/min",
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"id": 950003831972962300,
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"timestamp": "03/06/2022 07:16:03",
"content": "Mario's speed is 1/(x-60) cars/min",
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"timestamp": "03/06/2022 07:16:07",
"content": "How?",
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"timestamp": "03/06/2022 07:16:13",
"content": "he finishes 1 car",
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"id": 950003884489863200,
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"timestamp": "03/06/2022 07:16:16",
"content": "in x minutes",
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"timestamp": "03/06/2022 07:16:24",
"content": "Oh yes.. my bad.",
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"id": 950003994812633100,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/06/2022 07:16:42",
"content": "So if they work together",
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"id": 950004018946641900,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/06/2022 07:16:48",
"content": "What happens to their speeds?",
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"timestamp": "03/06/2022 07:17:04",
"content": "**Nightsky**\n```latex\n\\begin{gather*}\n\\frac{1}{x} + \\frac{1}{(x-60)} = 72\n\\end{gather*}\n```",
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"timestamp": "03/06/2022 07:17:08",
"content": "?",
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"id": 950004134566830100,
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"timestamp": "03/06/2022 07:17:15",
"content": "Not quite.",
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"timestamp": "03/06/2022 07:17:18",
"content": "Increases?",
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"timestamp": "03/06/2022 07:17:19",
"content": "but almost",
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"timestamp": "03/06/2022 07:17:26",
"content": "In exactly what way",
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"timestamp": "03/06/2022 07:17:35",
"content": "What do you mean?",
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"timestamp": "03/06/2022 07:17:47",
"content": "This one person's speed is a, and the other one's is b. So their speed together will be",
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"timestamp": "03/06/2022 07:18:05",
"content": "a + b?",
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"id": 950004356109963300,
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"timestamp": "03/06/2022 07:18:08",
"content": "mhm",
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"id": 950004409524449400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/06/2022 07:18:21",
"content": "Do we know what speed they can achieve together?",
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"id": 950004463798722600,
"author_id": 456226577798135800,
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"timestamp": "03/06/2022 07:18:34",
"content": "Now we do.",
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"id": 950004554458628100,
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"author_name": "Remavas",
"timestamp": "03/06/2022 07:18:56",
"content": "But we also do from the task. When they both work together, they take 72 min to finish the car",
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"timestamp": "03/06/2022 07:19:06",
"content": "And that's your equality",
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"timestamp": "03/06/2022 07:19:29",
"content": "So what will be our final equation?",
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"timestamp": "03/06/2022 07:19:39",
"content": "**Nightsky**",
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"timestamp": "03/06/2022 07:19:45",
"content": "This?",
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"id": 950004776068862000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/06/2022 07:19:48",
"content": "1/x is Kenneth's speed",
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"author_name": "Remavas",
"timestamp": "03/06/2022 07:19:55",
"content": "1/(x-60) is Mario's speed",
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"author_name": "Remavas",
"timestamp": "03/06/2022 07:20:14",
"content": "And added together they must add up *to their speed together*",
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"timestamp": "03/06/2022 07:20:32",
"content": "^",
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"timestamp": "03/06/2022 07:20:44",
"content": "What does this mean?",
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"content": "well what *is* their speed working together (finishing a car in 72 min)",
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"content": "1/72?",
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"content": "yep",
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"timestamp": "03/06/2022 07:21:23",
"content": "Ah! I see... thank you so much!",
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"content": "There might be other ways, but this one will work great for most tasks of this type",
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"timestamp": "03/06/2022 07:22:02",
"content": "What other ways are possible?",
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"content": "At this time I couldn't tell you.",
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"timestamp": "03/06/2022 07:22:47",
"content": "What about this?",
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"timestamp": "03/06/2022 07:23:02",
"content": ",w 1/x + 1/(x-60) = 1/72",
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"content": "Results provided by WolframAlpha",
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"content": ",w x(x-60) = 72",
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"content": "Results provided by WolframAlpha",
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"timestamp": "03/06/2022 07:23:27",
"content": "Well.. the answer is 'no' then.",
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"timestamp": "03/06/2022 07:23:50",
"content": "Also good side-note here",
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"content": "x - 60 > 0",
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"timestamp": "03/06/2022 07:24:20",
"content": "Yeah.. otherwise the equation will become undefined.",
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"timestamp": "03/06/2022 07:24:29",
"content": "If I'm not wrong.",
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"content": "No, as you see you'll get a solution",
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"timestamp": "03/06/2022 07:24:36",
"content": "But it won't make sense",
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"timestamp": "03/06/2022 07:24:46",
"content": "That would mean Kenneth can finish a car in 24 minutes",
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"timestamp": "03/06/2022 07:24:52",
"content": "but Mario is actually hindering him",
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"timestamp": "03/06/2022 07:24:58",
"content": "Ohhh...",
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"timestamp": "03/06/2022 07:25:01",
"content": "I see.",
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"timestamp": "03/06/2022 07:25:02",
"content": "Ty!",
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"author_name": "Ansh_",
"timestamp": "03/06/2022 07:28:21",
"content": "(@_@;)",
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"content": "bad mario",
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"timestamp": "03/06/2022 07:30:47",
"content": "Hey, not as bad when he's alone",
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"content": "Then he can unwash a car in 36 minutes",
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"timestamp": "03/06/2022 07:40:03",
"content": "@Deleted User Has your question been resolved?",
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] | help-10 | a24edb43249c4550ba1a7f9385d6083e |
1,061 | [
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"content": "@Syst3ms hey so i watched the videos but i don’t get why we are in 4dimensions",
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"content": "Well, you have two dimensions for the input (the complex plane), and two dimensions for the output (yet again, the complex plane)",
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"content": "So in theory, you'd need four dimensions to graph it properly",
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"content": "oh so this in input and output?",
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"content": "Yeah, the point is to graph a function",
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"content": "like you'd do with y=f(x)",
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"content": "but there we only show the output",
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"content": "The inputs are represented by a line in a normal graph",
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"content": "the x-axis",
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"content": "Here the inputs are represented by a plane",
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"content": "whut",
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"content": "ooh ig i got it",
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"content": "but not the 4d thing",
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"content": "Well, if you have 1 dimension for the input + 1 dimension for the output (normal graph), you need 2 dimensions total",
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"content": "Which is what happens, you draw 2d graphs",
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"timestamp": "03/06/2022 08:13:25",
"content": "The real part of output is the third dimension, and imaginary part of output is denoted by color",
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"content": "yea ik why the curvy thing then",
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"content": "Yeah, in theory you'd need 4 dimensions, but since that's not something we can visualize, so color is used",
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"content": "define \"curvy thing\"",
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"content": "why don’t we have x,y,z and another in color",
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"content": "oh x,y is one plane?",
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"timestamp": "03/06/2022 08:15:15",
"content": "really confused",
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"timestamp": "03/06/2022 08:16:21",
"content": "Yeah",
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"id": 950019044336079000,
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"timestamp": "03/06/2022 08:16:30",
"content": "The complex numbers are described by x+iy",
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"timestamp": "03/06/2022 08:16:50",
"content": "So if you want to look at every possible input, you need to look at every possible value of x and y",
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"content": "Which takes a whole plane to do",
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"content": "(but if you have a way to show it with a single line, by all means tell me)",
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"timestamp": "03/06/2022 08:18:51",
"content": "damn i still don’t get it",
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"timestamp": "03/06/2022 08:19:22",
"content": "Let's start with normal graphs again",
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"timestamp": "03/06/2022 08:19:27",
"content": "okay!!",
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"timestamp": "03/06/2022 08:19:42",
"content": "The point of a graph is to show the output of the function for every possible input",
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"timestamp": "03/06/2022 08:19:53",
"content": "hm",
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"timestamp": "03/06/2022 08:20:01",
"content": "here's a sample graph",
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"content": "So, we want to show what the function's value is for any value of x",
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"timestamp": "03/06/2022 08:20:17",
"content": "yea",
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"timestamp": "03/06/2022 08:20:26",
"content": "So we must have some way to represent what the function's input is on the graph",
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"content": "Here's, it's done with the x-axis",
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"timestamp": "03/06/2022 08:20:43",
"content": "mhm",
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"timestamp": "03/06/2022 08:20:54",
"content": "If we're at 1 on the x-axis, we're representing f(1)",
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"content": "etc",
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"timestamp": "03/06/2022 08:21:03",
"content": "yea",
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"timestamp": "03/06/2022 08:21:10",
"content": "And then, the y-axis represents the output",
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"timestamp": "03/06/2022 08:21:14",
"content": "yep",
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"timestamp": "03/06/2022 08:21:22",
"content": "Now let's go to complex numbers",
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"timestamp": "03/06/2022 08:21:32",
"content": "We still want to represent the function's value at every point",
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:21:55",
"content": "that is, we want to be able to represent f(x+iy) for every *real* x and y",
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"timestamp": "03/06/2022 08:22:08",
"content": "because that describes every single complex number",
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"timestamp": "03/06/2022 08:22:15",
"content": "that’s 3d right",
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"timestamp": "03/06/2022 08:22:26",
"content": "Not so fast",
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"timestamp": "03/06/2022 08:22:33",
"content": "hm",
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"id": 950020636816855000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:22:50",
"content": "So, instead of the x-axis, to describe the input you need to show both x and y",
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"timestamp": "03/06/2022 08:23:04",
"content": "(no relation to the x and y of a normal graph, there are only that many letters i can use)",
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"timestamp": "03/06/2022 08:23:04",
"content": "why",
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"id": 950020797546787000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:23:28",
"content": "Every complex number can be written z=x+iy",
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"id": 950020933148622800,
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"timestamp": "03/06/2022 08:24:00",
"content": "On a normal graph, you need the x-axis to be able to point at a horizontal position and say \"lookie, here, it represents the value of f(2)\"",
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"id": 950020952996081700,
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"timestamp": "03/06/2022 08:24:05",
"content": "or f(1), or f(whatever)",
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"timestamp": "03/06/2022 08:24:18",
"content": "mhm",
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"id": 950021098236436500,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:24:40",
"content": "But here, you also need to be able to point at *something* and say \"lookie, here it represents the value of f(x+iy)\"",
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"id": 950021129546920000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:24:47",
"content": "x+iy being some complex number",
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"id": 950021172702085100,
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"timestamp": "03/06/2022 08:24:58",
"content": "be it f(1) or f(i) or f(256-35i), whatever",
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"id": 950021256747557000,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:25:18",
"content": "isn’t i imaginary and 1+i complex?",
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"timestamp": "03/06/2022 08:25:38",
"content": "Not quite",
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"id": 950021382299848800,
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"timestamp": "03/06/2022 08:25:48",
"content": "the complex numbers are all the numbers that can be written x+iy",
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"timestamp": "03/06/2022 08:26:00",
"content": "That includes the real numbers (take y=0), as well as the imaginary numbers (take x=0)",
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:26:12",
"content": "but 1+0i is 1 is 1 complex too then?",
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"id": 950021492710719500,
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"timestamp": "03/06/2022 08:26:14",
"content": "So imaginary and real numbers are just specific kinds of complex numbers",
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"id": 950021501309055000,
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"timestamp": "03/06/2022 08:26:16",
"content": "Indeed",
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"id": 950021540995534800,
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"timestamp": "03/06/2022 08:26:25",
"content": "Real numbers are a part of the complex numbers",
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"id": 950021561996431400,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:26:30",
"content": "ooh",
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"id": 950022044299436000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:28:25",
"content": "Anyway, from the description of the complex numbers i just gave, it would be really convenient to be able to spot both x and y on the inputs",
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"id": 950022081377087500,
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"timestamp": "03/06/2022 08:28:34",
"content": "Because if you know x and y, you know x+iy, so you know the input",
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"id": 950022251997175800,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:29:15",
"content": "but x+iy is just x+iy",
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"id": 950022548874211300,
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"timestamp": "03/06/2022 08:30:26",
"content": "What do you mean by that",
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"id": 950022622010282000,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:30:43",
"content": "we can’t combine i and normal numbers",
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{
"id": 950022627228016600,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:30:44",
"content": "idkk",
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"id": 950023161238409200,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:32:52",
"content": "Please try to express what's holding you back here",
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"id": 950023181010354200,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:32:56",
"content": "It's important we address it",
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"id": 950024728901455900,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:39:05",
"content": "idk",
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"id": 950024831284441100,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:39:30",
"content": "Okay, on second thought this series might have not been the best recommendation",
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"id": 950024853702991900,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:39:35",
"content": "My apologies",
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{
"id": 950024907071324300,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:39:48",
"content": "the first 10 episodes were pretty cool",
"attachments": [],
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},
{
"id": 950024937463226400,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:39:55",
"content": "but then it got really complicated",
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{
"id": 950025023693918200,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:40:16",
"content": "I think it's more targeted towards people who have already manipulated complex numbers",
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"id": 950025080623218700,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:40:29",
"content": "So I'll just fall back on the good old and reliable Khan Academy",
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"id": 950025106518839300,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:40:36",
"content": "oh no",
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"id": 950025376988549100,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:41:40",
"content": "They have this playlist on the introduction to complex numbers, that starts off very gently with imaginary numbers. Take it step by step if you need to, because there are many videos in this playlist",
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{
"id": 950025389177200600,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:41:43",
"content": "https://www.youtube.com/playlist?list=PLXSlB4yMaoJtM2gG5Mas5mMjwX_B51vsB",
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"id": 950025529828978700,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:42:16",
"content": "khan academy can get really hard because i’m not english",
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"id": 950025555980452000,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:42:23",
"content": "I see",
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{
"id": 950025566248136700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:42:25",
"content": "What language?",
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{
"id": 950025577459494900,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:42:28",
"content": "german",
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{
"id": 950025593053925400,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:42:32",
"content": "I see",
"attachments": [],
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{
"id": 950025623030595600,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:42:39",
"content": "even tho u wanna do math in english",
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{
"id": 950025675396509700,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:42:51",
"content": "so i mostly learn on discord cuz i can ask questions",
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"id": 950025682354839600,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:42:53",
"content": "Well, you can always try to look up introductions to complex numbers in German if you want",
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{
"id": 950025752441663600,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:43:10",
"content": "It's a common topic, I'd be shocked to learn there are no comprehensive introductions to it",
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},
{
"id": 950025917902766200,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:43:49",
"content": "can u show me how? cuz videos ain’t so fun :p",
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{
"id": 950026035620106200,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:44:17",
"content": "i honestly just typed \"complex number introduction\" in youtube and found something that looked long enough",
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{
"id": 950026083024142500,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:44:28",
"content": "\"komplexe zahlen erklärt\" could do the trick",
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{
"id": 950026136908361700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:44:41",
"content": "search it on google if you don't want videos, whatever floats your boat",
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{
"id": 950026265631555700,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:45:12",
"content": "can i dm u for questions?",
"attachments": [],
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{
"id": 950026483282374800,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:46:04",
"content": "If you really get stuck one something you can try, but I'm not going to be available very often",
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"id": 950026536428372000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:46:16",
"content": "(actually, past this weekend, basically never for the coming month)",
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{
"id": 950026550579986600,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:46:20",
"content": "So yeah",
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{
"id": 950026571476009000,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:46:25",
"content": "wow xD",
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{
"id": 950026757652762800,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:47:09",
"content": "soo wdym with manipulating complex numbers",
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"id": 950026855006752800,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:47:32",
"content": "Just getting used to the concept and learning what you can do with them, in general",
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{
"id": 950026924984504300,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:47:49",
"content": "yea i know some stuff ig",
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{
"id": 950026968202616800,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:47:59",
"content": "like *i rotates 90°",
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{
"id": 950027003183132700,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:48:08",
"content": "and magnitude and angle",
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},
{
"id": 950027149539168300,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:48:43",
"content": "and e^it = cost + isint, even tho i don’t know why",
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"id": 950027633469567000,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:50:38",
"content": "found this playlist in german https://www.youtube.com/playlist?list=PLLTAHuUj-zHgrAfietLRb01pO1mtji8qn",
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},
{
"id": 950027740852158600,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:51:04",
"content": "what you're interested in is called the \"trigonometric form\", and its full generality it's the \"polar form\", but for now, take it slow",
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"id": 950027847047729200,
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"author_name": "Syst3ms",
"timestamp": "03/06/2022 08:51:29",
"content": "anyway, i have to go",
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"id": 950028020205355100,
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"author_name": "Lenny",
"timestamp": "03/06/2022 08:52:10",
"content": "thank u",
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"id": 950028029005008900,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "03/06/2022 08:52:12",
"content": "bye",
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1,062 | [
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"content": "Hello every one, i have this question i need to study this for tomorrows exam please help",
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"content": "Lhoptal ig",
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"content": "Before that check whether you really get 0/0 form",
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"content": "yes i checked",
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"author_name": "Asian Trynda",
"timestamp": "03/06/2022 09:02:30",
"content": "lemme check again",
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"content": "We do ig",
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"content": "It is a way of solving limits",
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"content": "Rationalisation is enough",
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"content": "Note your numerator = 2(x-3) and in denominator (x²-9)=(x+3)(x-3)",
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"content": "Oh yea right that also works",
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"content": ":happy:",
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"content": "@Asian Trynda Has your question been resolved?",
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] | help-10 | 3cd4c7c775ac47bcba60042a698202a0 |
1,063 | [
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"content": "Hello everyone, can someone help me with this problem",
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] | help-10 | e57304c21053447baa16d0d466043a2c |
1,064 | [
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"content": "I use A’ to denote A bar \n3,A(A’+B)=AA’+AB=A(1-A)+AB=A-AA+AB=AB\n2,=A(1-B)+AB(D+1-D)+A’C’D’+A’BC’=A+ A’C’D’+A’BC’",
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"timestamp": "03/06/2022 10:22:27",
"content": "can you show the steps",
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"content": "We already know that AA’=A(1-A)=A-A=0 so \na)=AB+A’B’+(AB)’=1+A’B’, so a) is weird,cause I showed it’s equal to 1+A’B’ not 1\nb) =AA’B’B’+BB’A’A’=0+0=0",
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"timestamp": "03/06/2022 10:24:58",
"content": "If those are not steps, then what was I writing?",
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"content": "i dont know about 3a 4a,b but you are wrong at 2a",
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"timestamp": "03/06/2022 10:29:05",
"content": "It said simplify, I don’t know how simple it should be",
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"timestamp": "03/06/2022 10:30:03",
"content": "anyway thanks for help",
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"timestamp": "03/06/2022 10:30:11",
"content": "Okay mine is the third line from bottom",
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"timestamp": "03/06/2022 10:31:32",
"content": "I don’t see why A+AB=A holds, that implies AB=0, which isn’t generally the case…",
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"author_id": 831504941083394000,
"author_name": "King Dedede",
"timestamp": "03/06/2022 10:32:52",
"content": "What does the . mean here?",
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"author_name": "King Dedede",
"timestamp": "03/06/2022 10:33:00",
"content": "And bar",
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"timestamp": "03/06/2022 10:33:31",
"content": "It’s a ring, with characteristics 2, and x^2=x for all x",
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"timestamp": "03/06/2022 10:33:41",
"content": "Multiplication",
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"author_name": "King Dedede",
"timestamp": "03/06/2022 10:33:42",
"content": "Oh",
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"timestamp": "03/06/2022 10:33:49",
"content": "x bar=1-x=1+x",
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"author_name": "King Dedede",
"timestamp": "03/06/2022 10:33:54",
"content": "I thought this was a logical expression",
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"author_name": "King Dedede",
"timestamp": "03/06/2022 10:34:20",
"content": "What is this topic called?",
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"id": 950053792169226200,
"author_id": 831504941083394000,
"author_name": "King Dedede",
"timestamp": "03/06/2022 10:34:35",
"content": "Abstract algebra?",
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"author_name": "Cogwheels of the mind",
"timestamp": "03/06/2022 10:35:09",
"content": "I don’t know, I only know that Jacobson calls it one to one correspondence between Boolean lattices and boolean algebras",
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"timestamp": "03/06/2022 10:35:53",
"content": "No idea then",
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"author_name": "King Dedede",
"timestamp": "03/06/2022 10:36:10",
"content": "Sounds scary",
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"timestamp": "03/06/2022 10:37:10",
"content": "No idea in 2a how he got the last three steps, that all require that AB=0, I didn’t see where it was given…",
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"timestamp": "03/06/2022 10:45:03",
"content": "@Dev Patel Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | e820c7b2005f43f186a2e3dbcb9e6817 |
1,065 | [
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"id": 950062456481382400,
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"timestamp": "03/06/2022 11:09:00",
"content": "can someone help me with this question plz?",
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"id": 950063260063907800,
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"timestamp": "03/06/2022 11:12:12",
"content": "How to draw this graph?",
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"id": 950063297091227800,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "03/06/2022 11:12:21",
"content": "can you explain to me plz?",
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"id": 950063401797828700,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "03/06/2022 11:12:46",
"content": "try choosing some values of sin(x) that you know and plot them",
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"id": 950063491727900700,
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"author_name": "Windy",
"timestamp": "03/06/2022 11:13:07",
"content": "that's if you want to do it irl",
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"id": 950063599592833000,
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"author_name": "Windy",
"timestamp": "03/06/2022 11:13:33",
"content": "if not you could just plot it into desmos or other graphing calculator",
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"timestamp": "03/06/2022 11:17:21",
"content": "how to draw the graph in an exam",
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"timestamp": "03/06/2022 11:17:35",
"content": ".",
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"content": "Determine some special points of sinx",
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"content": "Like where its relative extrema are",
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"content": "And where it crosses 0",
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"content": "You know what it looks like",
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"content": "boom",
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"content": "No one will ask you to accurately plot sinx",
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"content": "When people draw sin with vertical slopes at the zeroes :bleak:",
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"content": "yuck",
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"content": ":catBruh:",
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"content": "As long as it looks better than this",
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"content": "it's probably fine",
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"content": "you probably also want to label the axis",
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"content": "and a scale",
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"content": "thank you very much guys",
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] | help-10 | 84a1fcfd41e74aaba66a8a6a766e234e |
1,066 | [
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"content": "First draw the region in the xy-plane",
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] | help-10 | c6f980a73b02490cb5808dcc296054cc |
1,067 | [
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"timestamp": "03/06/2022 13:35:14",
"content": "so its kind of like a cake shape right",
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"timestamp": "03/06/2022 13:35:27",
"content": "like smaller layer on top->bigger layer on bottom",
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"timestamp": "03/06/2022 13:37:47",
"content": "Yeah a truncated cone",
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"content": "@kimchi Has your question been resolved?",
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] | help-10 | 3526925cd03d4c2dbc6527f12112e8ad |
1,068 | [
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},
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"timestamp": "11/08/2021 13:16:50",
"content": "with?",
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{
"id": 907332920405004300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:17:05",
"content": "that's not a test, is it?",
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"id": 907332949110849700,
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"author_id": 858015086139539500,
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"timestamp": "11/08/2021 13:17:18",
"content": "i promise",
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"id": 907333007600410600,
"author_id": 200013547491688450,
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"timestamp": "11/08/2021 13:17:26",
"content": "alrighty",
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},
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"id": 907333016362311700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:17:28",
"content": "what do you need help with",
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"id": 907333166832971800,
"author_id": 858015086139539500,
"author_name": "Angelina_simmer",
"timestamp": "11/08/2021 13:18:04",
"content": "how to solve for x in each case",
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"id": 907333328955379700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:18:43",
"content": "well, for the first one, do you recognize anything about 27 in relation to 3?",
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"id": 907333557251358700,
"author_id": 858015086139539500,
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"timestamp": "11/08/2021 13:19:37",
"content": "27 to base 3 is 3 cube",
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"id": 907333572531220500,
"author_id": 200013547491688450,
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"timestamp": "11/08/2021 13:19:41",
"content": "precisely",
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"id": 907333699295658000,
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"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:20:11",
"content": "so if you rewrite 27 as $3^3$, and $3^3=3^{x^2}$, what can you say about those exponents?",
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"id": 907333780509954000,
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"author_name": "TeXit",
"timestamp": "11/08/2021 13:20:30",
"content": "**a disappointing son**",
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"author_name": "Angelina_simmer",
"timestamp": "11/08/2021 13:21:23",
"content": "ohh yeaah thats what i did but i was not sure about it okii",
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"id": 907334111314731000,
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"author_name": "Angelina_simmer",
"timestamp": "11/08/2021 13:21:49",
"content": "so i now take the powers?",
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"id": 907334138347028600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:21:56",
"content": "and do what with them?",
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"id": 907334345897955300,
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"author_name": "Angelina_simmer",
"timestamp": "11/08/2021 13:22:45",
"content": "3=x^2",
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"id": 907334384854642800,
"author_id": 200013547491688450,
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"timestamp": "11/08/2021 13:22:54",
"content": "correct",
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"id": 907334426994810900,
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"timestamp": "11/08/2021 13:23:04",
"content": "🙂",
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"id": 907334432833278000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "11/08/2021 13:23:06",
"content": "and that's an easy solve for ya",
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"id": 907334493214482600,
"author_id": 858015086139539500,
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"timestamp": "11/08/2021 13:23:20",
"content": "i think i love maths",
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"timestamp": "11/08/2021 13:23:25",
"content": "haha",
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"timestamp": "11/08/2021 13:24:29",
"content": "how about (iii)",
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"timestamp": "11/08/2021 13:24:33",
"content": "?",
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"timestamp": "11/08/2021 13:39:33",
"content": "@Angelina_simmer Has your question been resolved?",
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] | help-10 | ba352df6da12476eb3965ed662a7e967 |
1,069 | [
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},
{
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] | help-10 | fea9d77f3c11444280f68c04f9c25e2d |
107 | [
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},
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"content": "how did they go from 1 to 2",
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"content": "did they just take the common factor t",
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"content": "but its not working with me",
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"content": "yes",
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"content": "yes",
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"content": "t² (1/t) = t",
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"content": "how is that so if i multiply step 2 by t i wouldnt get step 1",
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"content": "they skipped trivial steps like this",
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"content": "i see",
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"timestamp": "01/17/2022 01:47:33",
"content": "thanks",
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"content": ".close",
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] | help-10 | 80f3e54e04ac4e6a80699ffddcf23822 |
1,070 | [
{
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"author_name": "『𝔱𝔢𝔪𝔭𝔢𝔰𝔱』",
"timestamp": "03/06/2022 14:13:00",
"content": "sorry shen",
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"content": "Does anyone know if this true or false",
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"content": "I can’t find anything in the textbook",
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"content": "So do you know u-substitution?",
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"content": "Wouldn't you need the integrand to be $g(h(x)) \\, h'(x)$ instead of $g(h(x)) \\, h(x)$ for that?",
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"timestamp": "03/06/2022 14:27:57",
"content": "**Shen**",
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"content": "oh fuck true",
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"content": "thats the whole point of this question",
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"content": "Wait what?",
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"content": "the point is that it looks like a chain rule, but isn't",
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"content": "it's a little trick",
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"content": "I see that",
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"content": "But it’s like my brain keeps telling me it’s false",
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"content": "But I’m not sure",
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"timestamp": "03/06/2022 14:33:11",
"content": "Like I did the u substitution",
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"content": "Anyone?",
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"content": "then try to think of some examples where it goes wrong (constant function are always good for a start)",
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"timestamp": "03/06/2022 14:36:42",
"content": "So it is false that’s what I did",
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"content": "Is that good @Alexander42",
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"content": "yes, its false. Of course you should think about it so long that you either have a counterexample or a proof for it",
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"content": "@Alexander42",
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"timestamp": "03/06/2022 14:39:50",
"content": "Can u check some?",
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"id": 950115532097593300,
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"timestamp": "03/06/2022 14:39:55",
"content": "Of my answers",
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"author_name": "insane6942",
"timestamp": "03/06/2022 14:41:18",
"content": "Or anyone is this one good?",
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"timestamp": "03/06/2022 14:41:28",
"content": "I feel pretty confident on it",
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"timestamp": "03/06/2022 14:43:00",
"content": "Anyone?",
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{
"id": 950116872114827400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/06/2022 14:45:14",
"content": "well it's true",
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"id": 950117047348658200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/06/2022 14:45:56",
"content": "or no, hmm wait",
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"id": 950117076155129900,
"author_id": 369141023831752700,
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"timestamp": "03/06/2022 14:46:03",
"content": "Wait this one is true",
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"timestamp": "03/06/2022 14:46:10",
"content": "I just redid it",
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"timestamp": "03/06/2022 14:46:17",
"content": "Im pretty sure they both true",
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"timestamp": "03/06/2022 14:48:42",
"content": "Is that right @Ｈｅｒｅｌｓ ?",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/06/2022 14:49:30",
"content": "idk",
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"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/06/2022 14:50:08",
"content": "if h(a) = h(b), maybe that means h is constant on (a,b)",
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"timestamp": "03/06/2022 14:50:16",
"content": "Yeah that’s what I was thinking",
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"timestamp": "03/06/2022 14:50:31",
"content": "@Ｈｅｒｅｌｓ is this one right?",
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"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:50:54",
"content": "That's not a supported assumption. I could name many functions that's not constant on some interval (a, b), yet h(a) = h(b)",
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"timestamp": "03/06/2022 14:51:14",
"content": "yea I know",
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"timestamp": "03/06/2022 14:51:43",
"content": "So is it false then @Gamer Dio I really don’t get it",
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"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:53:18",
"content": "Yeah. Let b = 2, a = -2, g(x) = x, and h(x) = x². h(2) = h(-2), and ∫x²*x² dx = ∫ x⁴ dx is nonzero on that interval",
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"timestamp": "03/06/2022 14:53:29",
"content": "Oh I see",
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"timestamp": "03/06/2022 14:53:51",
"content": "So this one false",
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"content": "This one true?",
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"timestamp": "03/06/2022 14:54:13",
"content": "Did I understand that properlyv",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:55:56",
"content": "Consider the integral of 1/x² from -1 to ∞. Does that diverge?",
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"content": "Yes",
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"timestamp": "03/06/2022 14:56:16",
"content": "What about the integral of 1/x² from 1 to ∞?",
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"timestamp": "03/06/2022 14:56:18",
"content": "Wait shoot no 🤦♀️",
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"timestamp": "03/06/2022 14:56:23",
"content": "It rotates to infinity",
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"timestamp": "03/06/2022 14:56:32",
"content": "Rotates to infinity?",
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"content": "Moves to infinity",
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"id": 950119847814131700,
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"timestamp": "03/06/2022 14:57:04",
"content": "Elaborate",
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"timestamp": "03/06/2022 14:57:30",
"content": "Like the domain and range would | o goes to oo",
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"timestamp": "03/06/2022 14:57:46",
"content": "What",
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"id": 950120175804485600,
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"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:58:22",
"content": "The integral of 1/x² from -1 to ∞ diverges thanks to the asymptote at x=0.",
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"timestamp": "03/06/2022 14:58:53",
"content": "But what about the integral of 1/x² from 1 to ∞? Does that diverge or converge?",
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"timestamp": "03/06/2022 14:59:08",
"content": "Converge",
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"id": 950120487575507000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:59:36",
"content": "Is -1 < 1?",
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"timestamp": "03/06/2022 14:59:41",
"content": "Yes",
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"id": 950120546539024500,
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"author_name": "Gamer Dio",
"timestamp": "03/06/2022 14:59:50",
"content": "Then we've found a counterexample",
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"timestamp": "03/06/2022 14:59:58",
"content": "This is false",
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"id": 950120638272639000,
"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/06/2022 15:00:12",
"content": "Okay so they both false?",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/06/2022 15:00:16",
"content": "Yep",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:02:12",
"content": "So this one is it good @Gamer Dio",
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"timestamp": "03/06/2022 15:02:42",
"content": "Dunno, I don't feel like evaluating that",
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"content": "Okay",
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"timestamp": "03/06/2022 15:03:43",
"content": "This one false @Gamer Dio ?",
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"content": "",
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"timestamp": "03/06/2022 15:04:16",
"content": "Take the derivative of the RHS and see if you get the integrand",
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"timestamp": "03/06/2022 15:04:23",
"content": "Which I didn’t",
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"timestamp": "03/06/2022 15:04:28",
"content": "So I’m pretty sure it’s false",
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"timestamp": "03/06/2022 15:04:57",
"content": "These true or false ones really trip me up 🙁",
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"timestamp": "03/06/2022 15:05:15",
"content": "It's false. You'll see that the derivative is not the integrand",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:05:42",
"content": "Thx ur a life saver",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:05:48",
"content": "This one also false?",
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"content": "I used this identity for it @Gamer Dio",
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"timestamp": "03/06/2022 15:06:10",
"content": "Arcsin(x) + arccos(x) = pi/2",
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"timestamp": "03/06/2022 15:07:36",
"content": "Yep",
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"timestamp": "03/06/2022 15:08:35",
"content": "This one is true? @Gamer Dio",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "03/06/2022 15:09:09",
"content": "Is this a test?",
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"id": 950122904387977200,
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:09:12",
"content": "No",
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"author_name": "Gamer Dio",
"timestamp": "03/06/2022 15:09:25",
"content": "Yeah, it's true.",
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"id": 950123007865675800,
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:09:37",
"content": "Tests are in person for me",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:09:48",
"content": "This is just hw",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:10:01",
"content": "But for the true or false ones we get one try 🙁",
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"timestamp": "03/06/2022 15:22:42",
"content": "How about this one @Gamer Dio",
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"timestamp": "03/06/2022 15:23:08",
"content": "Use IBP",
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"author_id": 369141023831752700,
"author_name": "insane6942",
"timestamp": "03/06/2022 15:24:20",
"content": "Ibp?",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:24:30",
"content": "We haven’t learned that I don’t think",
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"timestamp": "03/06/2022 15:24:38",
"content": "I divided the integral",
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"author_name": "insane6942",
"timestamp": "03/06/2022 15:24:43",
"content": "And then did the geometry",
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"timestamp": "03/06/2022 15:26:11",
"content": "It's integration by parts",
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"timestamp": "03/06/2022 15:26:50",
"content": "Oh yeah just didn’t understand ibp",
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"timestamp": "03/06/2022 15:26:59",
"content": "And yeah I got true for that just making sure",
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"timestamp": "03/06/2022 15:27:05",
"content": "It's true",
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"timestamp": "03/06/2022 15:41:59",
"content": "@insane6942 Has your question been resolved?",
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"timestamp": "03/06/2022 16:33:38",
"content": "@insane6942 Has your question been resolved?",
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"timestamp": "03/06/2022 17:03:39",
"content": "Channel closed",
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] | help-10 | d652258c5cea49fe90053acd32dbdb37 |
1,071 | [
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"content": "Available help channel!",
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"timestamp": "03/06/2022 17:19:52",
"content": "hey does anyone know how to solve this further to find r, R and λ?",
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"content": "@cleonym Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "03/06/2022 18:05:34",
"content": "@cleonym Has your question been resolved?",
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"timestamp": "03/06/2022 18:08:23",
"content": "Hello, I think that you can get R=r from equations 1 and 2",
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"timestamp": "03/06/2022 18:09:48",
"content": "Are all these 7 equations independent? I mean, does any of these come from a previous one?",
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"content": "Channel closed",
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}
] | help-10 | 486206e1d69a4d07b99b921492da0cde |
1,072 | [
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},
{
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"timestamp": "03/06/2022 18:49:48",
"content": "Can I get help on this",
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"content": "Pinned a message.",
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"content": "@CrXpOp Has your question been resolved?",
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"timestamp": "03/06/2022 19:06:32",
"content": "Channel closed",
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}
] | help-10 | 1cb7518f69984add9a093bf3847f3c01 |
1,073 | [
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"timestamp": "03/06/2022 19:06:38",
"content": ".reopen",
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"id": 950182657516535800,
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"content": "✅",
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"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/06/2022 19:13:53",
"content": "What have you tried?",
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"id": 950184593489813600,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/06/2022 19:14:20",
"content": "Know that for however many times the ball has bounced, it will bounce just 70% as high as the previous bounce",
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"id": 950184697655337000,
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"timestamp": "03/06/2022 19:14:45",
"content": "Starting at 100 m -> 0.7 • 100m = 70m -> 0.7 • 70m = ?",
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"content": "etc.",
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"id": 950184817683746800,
"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "03/06/2022 19:15:14",
"content": "Like that?",
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"id": 950185719928852500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/06/2022 19:18:49",
"content": "What does that represent?",
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"id": 950186447850319900,
"author_id": 395420559283978240,
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"content": "Wait I think I got it",
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"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "03/06/2022 19:22:17",
"content": "70+48+34+24+16+11 ~~ 205.88",
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"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "03/06/2022 19:22:26",
"content": "Times 2 is 412 rounded up",
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"timestamp": "03/06/2022 19:22:44",
"content": "Nvm I was looking at the wrong question",
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"author_id": 395420559283978240,
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"content": "I got that one already",
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"id": 950186743393550300,
"author_id": 395420559283978240,
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"timestamp": "03/06/2022 19:22:53",
"content": ".close",
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},
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"content": "Channel closed",
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] | help-10 | e3817482ca6a451b932dee4728231414 |
1,074 | [
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"content": "Available help channel!",
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},
{
"id": 950195810434441200,
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"id": 950195878436692100,
"author_id": 724625667802530000,
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"content": "a) 3.5",
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"id": 950195894605742100,
"author_id": 724625667802530000,
"author_name": "Brightvale",
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"content": "b) 7?",
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"id": 950195919998050300,
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"author_name": "Brightvale",
"timestamp": "03/06/2022 19:59:21",
"content": "c) idk",
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"author_name": "Brightvale",
"timestamp": "03/06/2022 19:59:28",
"content": "I need help with c)",
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"id": 950195994270773200,
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"author_name": "Brightvale",
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"content": "2c) is what is the expected value of the product of two dies",
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"timestamp": "03/06/2022 20:01:40",
"content": "I also need help with 2c)*",
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"content": "@Brightvale Has your question been resolved?",
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"content": "@Brightvale Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 3d9349239be5424c9cd48e242b2a1478 |
1,075 | [
{
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"timestamp": "03/06/2022 23:52:39",
"content": "Available help channel!",
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"id": 950254811226439700,
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"author_name": "jsn",
"timestamp": "03/06/2022 23:53:21",
"content": "how do i write a quadratic equation in standard form",
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"id": 950254813780779100,
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"content": "ax^2+bx+c = number",
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"timestamp": "03/06/2022 23:54:30",
"content": "nevermind thank you very much",
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"content": ".close",
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"content": "Channel closed",
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] | help-10 | bb06388f55d647ac92f1fca34225ce92 |
1,076 | [
{
"id": 950257337615138800,
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"content": "Available help channel!",
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},
{
"id": 950257939229331600,
"author_id": 791538040879317000,
"author_name": "Bread",
"timestamp": "03/07/2022 00:05:47",
"content": "Simplify 2a - [3a + {4a - b - 2a -(a -2)} - b]",
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{
"id": 950257941615878300,
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"content": "Start with the inner-most parenthesis",
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"content": "You can distribute a -1 over the terms inside",
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"content": "@Bread Has your question been resolved?",
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] | help-10 | a963532370d241b79261e1f971028b27 |
1,077 | [
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"id": 950266690531385300,
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"timestamp": "03/07/2022 00:40:36",
"content": "**Andreww**",
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"id": 950266792423612400,
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"author_name": "Geopchad",
"timestamp": "03/07/2022 00:40:58",
"content": "Why u-sub?",
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"id": 950266854520275000,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 00:41:13",
"content": "Oh ik why",
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"id": 950266880357191700,
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"timestamp": "03/07/2022 00:41:19",
"content": "Expand the square and then",
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"timestamp": "03/07/2022 00:41:32",
"content": "Yeah remember 2sin(x)cos(x) = sin(2x)",
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"id": 950266957213597700,
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"content": "**Andreww**",
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"timestamp": "03/07/2022 00:41:42",
"content": "Then let u = 2x",
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"author_name": "Geopchad",
"timestamp": "03/07/2022 00:41:54",
"content": "And remember sin^2 + cos^2 = 1",
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"id": 950267546643353600,
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"author_name": "Geopchad",
"timestamp": "03/07/2022 00:43:58",
"content": "So do you know how to do it now?",
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"timestamp": "03/07/2022 00:44:05",
"content": "Not cos^2(2x)",
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"timestamp": "03/07/2022 00:44:16",
"content": "Just cos^2 of x",
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"id": 950267676146667500,
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"author_name": "Geopchad",
"timestamp": "03/07/2022 00:44:29",
"content": "Also please do \\sin not just sin",
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"id": 950267690830946300,
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"timestamp": "03/07/2022 00:44:32",
"content": "It makes it not italics",
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"id": 950267764772307000,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 00:44:50",
"content": "Also for derivatives",
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"id": 950267854886948900,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 00:45:11",
"content": "$\\dv{y}{x} \\dv[n]{f}{x}$",
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},
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"id": 950267865922142200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/07/2022 00:45:14",
"content": "**Brontochad (Shuri for honorable)**",
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"timestamp": "03/07/2022 00:45:15",
"content": "You can use this shortcut",
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"id": 950268339102580700,
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"timestamp": "03/07/2022 00:47:07",
"content": "**Andreww**",
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"timestamp": "03/07/2022 00:51:12",
"content": "Channel closed",
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}
] | help-10 | f9b6f6c1306b4a35adb24f3f7c7552c2 |
1,078 | [
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"content": "Available help channel!",
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},
{
"id": 950271084186452000,
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"timestamp": "03/07/2022 00:58:28",
"content": "Where am I going wrong?",
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{
"id": 950272110633291800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/07/2022 01:02:06",
"content": "you incorrectly applied l'hopital at the second equal sign",
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"timestamp": "03/07/2022 01:03:12",
"content": "Infinity/0 is indeterminate form no?",
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"timestamp": "03/07/2022 01:03:29",
"content": "source?",
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"timestamp": "03/07/2022 01:03:52",
"content": "I’m asking",
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"content": "look it up in your text/notes",
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"content": "Ah",
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"timestamp": "03/07/2022 01:04:39",
"content": "You’re right it’s not",
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"author_id": 893512897500676100,
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"timestamp": "03/07/2022 01:06:25",
"content": "Is infinity time infinity form always just infinity?",
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"id": 950273336942923800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/07/2022 01:06:58",
"content": "you cannot use lhopitals unless you have a form of inf/inf or 0/0",
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"timestamp": "03/07/2022 01:07:10",
"content": "even if you were to have another indeterminate form, lhopitals only accepts those two",
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"id": 950273466622414800,
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"timestamp": "03/07/2022 01:07:29",
"content": "Thanks for the notice",
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"content": "and yeah, it seems so",
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"timestamp": "03/07/2022 01:07:43",
"content": "Thanks guys",
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"timestamp": "03/07/2022 01:07:45",
"content": ".close",
"attachments": [],
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{
"id": 950273535274782700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 01:07:46",
"content": "Channel closed",
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] | help-10 | df6e414f69cf495ba71793cf8e92c3fe |
1,079 | [
{
"id": 907340026931716200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 13:45:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 907348963563282400,
"author_id": 124978310479347710,
"author_name": "feather",
"timestamp": "11/08/2021 14:20:50",
"content": "What's the error here?",
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"content": "Pinned a message.",
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"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:20:56",
"content": "I know it lies in step 3",
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},
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"id": 907349089182683100,
"author_id": 124978310479347710,
"author_name": "feather",
"timestamp": "11/08/2021 14:21:20",
"content": "Just not sure what it is",
"attachments": [],
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},
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"id": 907349098477285400,
"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:21:22",
"content": ":thonk:",
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"id": 907349187480408200,
"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:21:44",
"content": "Sure if you try to evaluate the limit directly you get 0/0",
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"id": 907349218069463200,
"author_id": 124978310479347710,
"author_name": "feather",
"timestamp": "11/08/2021 14:21:51",
"content": "But you can remove the discontinuity",
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"id": 907349256325701600,
"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:22:00",
"content": "So why don't we",
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"id": 907350243828461600,
"author_id": 124978310479347710,
"author_name": "feather",
"timestamp": "11/08/2021 14:25:55",
"content": "oh wait",
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"id": 907350271955435500,
"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:26:02",
"content": "it's not in indeterminate form in the first one",
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"id": 907350275310891100,
"author_id": 124978310479347710,
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"timestamp": "11/08/2021 14:26:03",
"content": "?XD",
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"id": 907350280360828900,
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"timestamp": "11/08/2021 14:26:04",
"content": ".close",
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},
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"id": 907350282265043000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 14:26:05",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | f6a718dad40f42438501d191dd2c5ce9 |
108 | [
{
"id": 932527551119786000,
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 01:51:33",
"content": "Available help channel!",
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},
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"id": 932528937454694400,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
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"content": "Pinned a message.",
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"id": 932528965556527100,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 01:57:10",
"content": "how do we use product rule for this one",
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},
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"id": 932529101288394800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 01:57:43",
"content": "U use chain rule",
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},
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"id": 932529109999976400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 01:57:45",
"content": "Not product",
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},
{
"id": 932529533679173800,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 01:59:26",
"content": "nvm",
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},
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"author_name": "Messi Barcelona",
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"content": "",
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"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:00:30",
"content": "thanks",
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},
{
"id": 932529827444043900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:00:36",
"content": "Yep that’s ur answer",
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"id": 932529868938297300,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:00:46",
"content": "i dont know",
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},
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"id": 932529889091928200,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:00:51",
"content": "when to use the different methods",
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},
{
"id": 932529927922798600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:01:00",
"content": "When u see something like x.sinx",
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"id": 932529939662639100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:01:03",
"content": "Use product",
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},
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"id": 932529996537409500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:01:16",
"content": "When u see something like x/sinx use quotient rule",
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{
"id": 932530046218956800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:01:28",
"content": "When sin(x^2)",
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"id": 932530055823904800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:01:30",
"content": "Use chain",
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},
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"id": 932530154033520600,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:01:54",
"content": "so if we have power is chain, if we have AxB thats product and if we have fraction that quotient",
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},
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"id": 932530179769786400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:00",
"content": "Chain rule is used when ur variable in caught inside another function",
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},
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"id": 932530213328400400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:08",
"content": "For example",
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"id": 932530331075084300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:36",
"content": "Sin(x^2 +1)",
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"id": 932530371147464700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:46",
"content": "This is where u use chain rule",
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"id": 932530414365593600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:56",
"content": "U can say x is *chained* inside sin",
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},
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"id": 932530424348049400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 02:02:58",
"content": ":KEK:",
"attachments": [],
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},
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"id": 932530453808820200,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:03:05",
"content": "ahaha",
"attachments": [],
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"id": 932530462138720300,
"author_id": 321810611396804600,
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"timestamp": "01/17/2022 02:03:07",
"content": "i see",
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},
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"id": 932530510322892800,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:03:19",
"content": "alright thanks alot for the help",
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},
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"id": 932530546700070900,
"author_id": 321810611396804600,
"author_name": "Messi Barcelona",
"timestamp": "01/17/2022 02:03:27",
"content": ".close",
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},
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"id": 932530548264542200,
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 02:03:28",
"content": "Channel closed",
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}
] | help-10 | a0488e8645b447ccadfa713a91e22cfd |
1,080 | [
{
"id": 950273788224880600,
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"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 01:08:46",
"content": "Available help channel!",
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},
{
"id": 950274813518295000,
"author_id": 700565896103592000,
"author_name": "さより",
"timestamp": "03/07/2022 01:12:50",
"content": "Hello need a little help, Just starting to work on geometry, How do you find the area of the crust with this information?\nThanks.",
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"content": "Pinned a message.",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:13:40",
"content": "@さより have you made any progress so far or are you stuck not knowing how to begin?",
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"id": 950275602496241700,
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"author_name": "さより",
"timestamp": "03/07/2022 01:15:58",
"content": "I don't know where to begin with honestly.",
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"id": 950275806133882900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:16:47",
"content": "okay",
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"id": 950275834005037000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:16:54",
"content": "do you know how to find the area of a circle?",
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"id": 950275933623947300,
"author_id": 700565896103592000,
"author_name": "さより",
"timestamp": "03/07/2022 01:17:17",
"content": "Thats pi r²",
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"id": 950275996051972100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:17:32",
"content": "okay, good.",
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"id": 950276016465662000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:17:37",
"content": "so now",
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{
"id": 950276127149154300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:18:03",
"content": "if you knew the radius of the whole pizza, and the radius of the pizza without the crust, would you be able to find the area of the crust?",
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"id": 950276326068191200,
"author_id": 700565896103592000,
"author_name": "さより",
"timestamp": "03/07/2022 01:18:51",
"content": "Yes",
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},
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"id": 950276384150917100,
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"author_name": "Ann",
"timestamp": "03/07/2022 01:19:05",
"content": "okay",
"attachments": [],
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},
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"id": 950276488048050200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/07/2022 01:19:30",
"content": "denote the inner radius (w/o crust) by $r_1$ and the outer radius by $r_2$. can you write down what the area of the crust would be in terms of those?",
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"id": 950276497137082400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/07/2022 01:19:32",
"content": "**Ann**",
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"id": 950276511070585000,
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"author_name": "Ann",
"timestamp": "03/07/2022 01:19:35",
"content": "it'll be important later.",
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"id": 950276675952840700,
"author_id": 700565896103592000,
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"timestamp": "03/07/2022 01:20:14",
"content": "Ok ok",
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},
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"id": 950277351227404300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/07/2022 01:22:55",
"content": "if you know the radius is `z` and the height is `a` the volume is `pizza`",
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"author_name": "Ann",
"timestamp": "03/07/2022 01:24:03",
"content": "@riemann thanks for this utterly unhelpful comment",
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"content": "Area of the whole pizza - Area of the circle without the crust = Area of the crust",
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"content": "okay, but i want you to use the notations i gave you.",
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"content": "can you do that?",
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"timestamp": "03/07/2022 01:28:19",
"content": "Sorry, English is not my first language, If you mean by outer radius, Do you mean the radius of the crust only circle?",
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"timestamp": "03/07/2022 01:30:22",
"content": "(R1+R2)²pi - (R1)²pi",
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"content": "no, when i say outer radius i mean the radius of the entire pizza",
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"content": "with the crust",
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"content": "center to edge",
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"timestamp": "03/07/2022 01:33:02",
"content": "so it would be $\\pi r_2^2 - \\pi r_1^2$",
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"timestamp": "03/07/2022 01:33:04",
"content": "**Ann**",
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"content": "Oh ok, I see",
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"content": "now",
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"content": "consider this",
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"timestamp": "03/07/2022 01:35:56",
"content": "Ok",
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"timestamp": "03/07/2022 01:38:56",
"content": "look at the triangle that i drew",
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"content": "Ok ok",
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"timestamp": "03/07/2022 01:47:22",
"content": "I feel like the r of the whole circle is 3√2",
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"timestamp": "03/07/2022 01:49:04",
"content": "where are you getting that from?",
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"timestamp": "03/07/2022 01:51:32",
"content": "6 is the hypotenuse of a triangle",
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"timestamp": "03/07/2022 01:51:38",
"content": "what triangle?",
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"id": 950284659021996000,
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"author_name": "Ann",
"timestamp": "03/07/2022 01:51:58",
"content": "the hypotenuse of the triangle that i drew is not 6.",
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"timestamp": "03/07/2022 01:54:49",
"content": "2 points such that the segment is tangent to the filling",
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"timestamp": "03/07/2022 01:55:09",
"content": "and why are you just claiming out of hand that this is a right triangle?",
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"timestamp": "03/07/2022 01:56:01",
"content": "just because it appears right does not actually make it right.",
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"timestamp": "03/07/2022 01:56:58",
"content": "Yeh I just tested it, It's an irrational number",
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"timestamp": "03/07/2022 01:57:06",
"content": "......",
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"id": 950285965216346100,
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"author_name": "Ann",
"timestamp": "03/07/2022 01:57:09",
"content": "what",
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"id": 950285994622607400,
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"timestamp": "03/07/2022 01:57:16",
"content": "what on earth did you \"test\"",
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"id": 950286034787266600,
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"author_name": "Ann",
"timestamp": "03/07/2022 01:57:26",
"content": "sounds like you ignored everything i just said",
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"author_name": "Ann",
"timestamp": "03/07/2022 01:59:29",
"content": "are you going to go off to do your own thing or should i continue trying to explain how to do this problem",
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"timestamp": "03/07/2022 02:00:33",
"content": "Continue please.",
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"timestamp": "03/07/2022 02:02:45",
"content": "look at the triangle **that i drew**.",
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"author_name": "Ann",
"timestamp": "03/07/2022 02:02:59",
"content": "you see how i marked a right angle in it?",
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"timestamp": "03/07/2022 02:03:38",
"content": "Yes I can see it",
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"id": 950287709941940200,
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"author_name": "Ann",
"timestamp": "03/07/2022 02:04:05",
"content": "do you understand why the angle i marked as right is indeed right?",
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"id": 950288092428902400,
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"timestamp": "03/07/2022 02:05:36",
"content": "Yes I can understand",
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"id": 950288344791801900,
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"timestamp": "03/07/2022 02:06:36",
"content": "okay",
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"timestamp": "03/07/2022 02:06:48",
"content": "can you name the side lengths of the triangle that i drew?",
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"id": 950288789329281000,
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"timestamp": "03/07/2022 02:08:22",
"content": "R2,R1",
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"id": 950289952955060200,
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"timestamp": "03/07/2022 02:13:00",
"content": "And 6-x?",
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"id": 950290012392554500,
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"content": "what's x?",
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"id": 950290404056637400,
"author_id": 700565896103592000,
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"timestamp": "03/07/2022 02:14:47",
"content": "3?",
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"id": 950291115590955000,
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"timestamp": "03/07/2022 02:17:37",
"content": "I think it's 3",
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"id": 950291154132410400,
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"timestamp": "03/07/2022 02:17:46",
"content": "R2,R1,3",
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"id": 950291174093111300,
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"timestamp": "03/07/2022 02:17:51",
"content": "...",
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"id": 950291237028630500,
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"author_name": "Ann",
"timestamp": "03/07/2022 02:18:06",
"content": "i asked for the meaning, not the value.",
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"id": 950291302979895300,
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"author_name": "Ann",
"timestamp": "03/07/2022 02:18:22",
"content": "but yes, the sides are r2, r1 (lowercase!!!!) and 3",
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"id": 950291635722403800,
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"timestamp": "03/07/2022 02:19:41",
"content": "Ok Ok",
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"id": 950292528085733400,
"author_id": 700565896103592000,
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"timestamp": "03/07/2022 02:23:14",
"content": "What is the next thing to do now?",
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"id": 950292651457007600,
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"author_name": "Ann",
"timestamp": "03/07/2022 02:23:43",
"content": "area = pi(r2^2 - r1^2) = pi * 3^2 by pythagoras.",
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"timestamp": "03/07/2022 02:26:59",
"content": "Ok what?",
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"id": 950294287868915700,
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"timestamp": "03/07/2022 02:30:13",
"content": "Nvm",
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"content": ".close",
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"timestamp": "03/07/2022 02:30:16",
"content": "Channel closed",
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] | help-10 | 39b4b11c22744aadba79d3731a752087 |
1,081 | [
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"content": "@markie Has your question been resolved?",
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] | help-10 | b6980d8359e44a869a2a2d8f586b34e9 |
1,082 | [
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"content": "@Glar3 Has your question been resolved?",
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] | help-10 | 24830a4debaf447eab4addae0955967f |
1,083 | [
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"timestamp": "03/07/2022 05:00:15",
"content": "can someone teach me how to solve the sin question on a TI inpsire CAS?",
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"content": "would that be how u do it?",
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"content": "this guy got this answer but idk how ot get that answer on calculator",
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"timestamp": "03/07/2022 05:09:48",
"content": "In one ss",
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"id": 950334481712185300,
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"timestamp": "03/07/2022 05:09:56",
"content": "They wrote that sin(35) = x/12",
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"id": 950334491367473200,
"author_id": 915423475294961800,
"author_name": "realhuman",
"timestamp": "03/07/2022 05:09:59",
"content": "Hello",
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{
"id": 950334495268155400,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "03/07/2022 05:10:00",
"content": "And in another",
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"id": 950334508375375900,
"author_id": 909734400990785500,
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"timestamp": "03/07/2022 05:10:03",
"content": "x^2/12",
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"id": 950334526834479100,
"author_id": 915423475294961800,
"author_name": "realhuman",
"timestamp": "03/07/2022 05:10:07",
"content": "What's your question?",
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"id": 950334697605595100,
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"author_name": "realhuman",
"timestamp": "03/07/2022 05:10:48",
"content": "Quick!!",
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"id": 950334736734228500,
"author_id": 915423475294961800,
"author_name": "realhuman",
"timestamp": "03/07/2022 05:10:57",
"content": "I gtg",
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"timestamp": "03/07/2022 05:11:04",
"content": "how to put this on a cas",
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"id": 950334793457995800,
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"author_name": "mcrive",
"timestamp": "03/07/2022 05:11:11",
"content": "to figure out how to get 0.57",
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"timestamp": "03/07/2022 05:11:18",
"content": "=. x/12",
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"id": 950334861955182700,
"author_id": 380685308473245700,
"author_name": "Squidyerser",
"timestamp": "03/07/2022 05:11:27",
"content": "Just type 12sin35 to find x?",
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"content": "Are you asking why they",
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"timestamp": "03/07/2022 05:11:43",
"content": "Said that $sin(35) = x/12$",
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"timestamp": "03/07/2022 05:11:45",
"content": "**CatHashira**",
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"timestamp": "03/07/2022 05:11:52",
"content": "no im asking how to put it on a cas the question",
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"author_name": "Squidyerser",
"timestamp": "03/07/2022 05:12:06",
"content": "There's a sin button",
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"content": "U mean a calculator",
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"timestamp": "03/07/2022 05:12:30",
"content": "Just input sin(35) * 12",
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"timestamp": "03/07/2022 05:13:10",
"content": "let me try rn one sec",
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"author_name": "Oshimimers",
"timestamp": "03/07/2022 05:13:25",
"content": "this works, assuming your calculator is in degree mode",
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"timestamp": "03/07/2022 05:13:39",
"content": "but yes it’s much easier to just evaluate this",
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"content": "?",
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"timestamp": "03/07/2022 05:13:47",
"content": "it got that",
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"id": 950335524109947000,
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"timestamp": "03/07/2022 05:14:05",
"content": "#computing-software ig",
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"timestamp": "03/07/2022 05:14:17",
"content": "ctrl enter",
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"timestamp": "03/07/2022 05:14:24",
"content": "to get the approximate value",
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"timestamp": "03/07/2022 05:17:49",
"content": "nvm i guess",
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"timestamp": "03/07/2022 05:17:51",
"content": ".close",
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"content": "Channel closed",
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] | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a |
1,084 | [
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"content": "Available help channel!",
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"id": 950388970099978200,
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"author_name": "Arkid",
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"content": "(b)(0,1,a0,a1,a2,...)\n(c)(0·a0,1·a1,2·a2,...)\n(d)(a0,0,a1,0,a2,0,...)",
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"content": "I know b and c should be quite easy, but I'm having trouble seeing which uses derivative",
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"content": ".close",
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] | help-10 | 7c25af5dcbd54daabeef73823d209979 |
1,085 | [
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"content": "@! saad Has your question been resolved?",
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"timestamp": "03/07/2022 09:20:44",
"content": "By definition…",
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"id": 950400612753891500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/07/2022 09:32:43",
"content": "By definition… I don’t know what to say",
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"timestamp": "03/07/2022 09:33:14",
"content": "You exam whether it satisfies transitive , anti-symmetric… by definition",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/07/2022 09:33:25",
"content": "Unless you didn’t read their definition at all?",
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"id": 950401196168998900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/07/2022 09:35:02",
"content": "Then you read your textbook…",
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"id": 950401370358423600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/07/2022 09:35:44",
"content": "Okay then I give up.false false false true",
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"id": 950401525493158000,
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"timestamp": "03/07/2022 09:36:21",
"content": "Yeah",
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"content": "Read your textbook next time",
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"timestamp": "03/07/2022 09:36:56",
"content": "Channel closed",
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] | help-10 | 110fc191e7474b4f95223d8d8536106a |
1,086 | [
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"id": 950404198246256600,
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"timestamp": "03/07/2022 09:46:58",
"content": "need help for number 11-15 i have no clue answering this",
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"timestamp": "03/07/2022 10:00:45",
"content": "@Helpers",
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"id": 950410082938658800,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "03/07/2022 10:10:21",
"content": ",rotate",
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"timestamp": "03/07/2022 10:11:05",
"content": "what's your answer for 9 and 10?",
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"timestamp": "03/07/2022 10:11:16",
"content": "apply the same thing for 11 and 12",
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"content": "@Deleted User Has your question been resolved?",
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] | help-10 | 34edcc6a4923487c9b020a59e4ec302c |
1,087 | [
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"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950420990406578200,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:53:42",
"content": "",
"attachments": [
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"id": 950420989731274900,
"url": "https://cdn.discordapp.com/attachments/903430332324405288/950420989731274822/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 6871
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},
{
"id": 950420992080101400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 10:53:42",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 950420990406578200,
"channelId": 903430332324405200,
"guildId": null
}
},
{
"id": 950421096119795700,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:54:07",
"content": "14 x 13 x 12 ... (2)(1) / 5! 9!",
"attachments": [],
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"reference": null
},
{
"id": 950421369055772800,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/07/2022 10:55:12",
"content": "what is the formular?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421374252499000,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "03/07/2022 10:55:13",
"content": "what do you need help with?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421460911022100,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 10:55:34",
"content": "So you should get 14*13*12*11*10 / 5!",
"attachments": [],
"mentions": [
{
"id": 610937873981636600,
"name": "Brotally",
"discriminator": "5841",
"nickname": "Brotally",
"isBot": false
}
],
"reference": null
},
{
"id": 950421567198859300,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 10:55:59",
"content": "Then just be smart with how you break the numerator up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421595560763400,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/07/2022 10:56:06",
"content": "$\\binom{14}{5}=\\frac{14!}{(14-5)!\\cdot 5!}$",
"attachments": [],
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},
{
"id": 950421597452390500,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:56:06",
"content": "do i cancel out the 5! or 9!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421607233503400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/07/2022 10:56:09",
"content": "how exactly is that leading to 48048",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421615471124500,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:56:11",
"content": "with the top",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421621770948600,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 10:56:12",
"content": "E.g. 12 = 4*3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421658097819600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/07/2022 10:56:21",
"content": "**Big xdddd**",
"attachments": [
{
"id": 950421657879724000,
"url": "https://cdn.discordapp.com/attachments/903430332324405288/950421657879724082/325570175594135552.png",
"fileName": "325570175594135552.png",
"fileSizeBytes": 10590
}
],
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"reference": null
},
{
"id": 950421661914628100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/07/2022 10:56:22",
"content": "are you doing this by hand or with a calc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421668826845300,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "03/07/2022 10:56:23",
"content": "9! Cuz it makes it easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421809973588000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:56:57",
"content": "hand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421841955127300,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:57:05",
"content": "i cancel out 9! first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421920975822800,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:57:23",
"content": "which left \n14(13)(12)(11)(10)/5!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421971097780200,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/07/2022 10:57:35",
"content": "$\\frac{10\\cdot 11\\cdot 12\\cdot 13\\cdot 14}{2\\cdot 3\\cdot 4\\cdot 5}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950421987392618500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/07/2022 10:57:39",
"content": "**Big xdddd**",
"attachments": [
{
"id": 950421987589754900,
"url": "https://cdn.discordapp.com/attachments/903430332324405288/950421987589754910/325570175594135552.png",
"fileName": "325570175594135552.png",
"fileSizeBytes": 7457
}
],
"mentions": [],
"reference": null
},
{
"id": 950422092535439500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/07/2022 10:58:04",
"content": "what did yuo do after that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950422139192889500,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 10:58:15",
"content": "i think thats where i messed up. I multiply the top and divide by 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950422967903481900,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:01:33",
"content": "got 2,002",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950423062388551700,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:01:56",
"content": "14(13)(12)(11)(10)/ 5(4)(3)(2)(1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950423113957527700,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:02:08",
"content": "then cancel out the bottom with top",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950423181330636900,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:02:24",
"content": "7(13)(11)(2) = 2002 ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950426957093404700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 11:17:24",
"content": "@Brotally Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 610937873981636600,
"name": "Brotally",
"discriminator": "5841",
"nickname": "Brotally",
"isBot": false
}
],
"reference": null
},
{
"id": 950429238421504000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:26:28",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950430059150340100,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "03/07/2022 11:29:44",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950430060865806300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 11:29:44",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | 21453c239d1c48f4b9451dd0ee241d67 |
1,088 | [
{
"id": 950430313429991400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 11:30:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950434870755225600,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 11:48:51",
"content": "hi i want to know if i've gotten the answer right for this q.\nmy ans: (B ∩ C) - A is what covers 011, 101, 100",
"attachments": [
{
"id": 950434870017011800,
"url": "https://cdn.discordapp.com/attachments/903430332324405288/950434870017011813/Screen_Shot_2022-03-08_at_1.48.47.png",
"fileName": "Screen_Shot_2022-03-08_at_1.48.47.png",
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},
{
"id": 950434874521686000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 11:48:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 950434870755225600,
"channelId": 903430332324405200,
"guildId": null
}
},
{
"id": 950435649318707200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/07/2022 11:51:57",
"content": "so you're saying (B ∩ C) - A contains the elements 011, 101, 100?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436370084679700,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 11:54:48",
"content": "ys",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436372601253900,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 11:54:49",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436467166032000,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 11:55:12",
"content": "trying to find area compromised by thse elemenets",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436527723401300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/07/2022 11:55:26",
"content": "Then no.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436593917919400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/07/2022 11:55:42",
"content": "(B ∩ C) - A is just the element 011",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950436994532671500,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 11:57:17",
"content": "uh hmm ok, what would contain all of those elements?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950437118293987300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/07/2022 11:57:47",
"content": "You've got 011 in the set you gave, union that with something that contains 100 and 101",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950438067850838000,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 12:01:33",
"content": "ok thank u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950438088889487400,
"author_id": 682453786039812100,
"author_name": "sSs",
"timestamp": "03/07/2022 12:01:38",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 950438091095703700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/07/2022 12:01:39",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | aa76980d08794e3aa2ae3cb7d35cfbe6 |
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