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201,465 | [
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"id": 1039644448633663500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 15:55:52",
"content": "Available help channel!",
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"id": 1039644989069734000,
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 15:58:01",
"content": "*",
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"id": 1039644991930253400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 15:58:01",
"content": "Pinned a message.",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 15:58:28",
"content": "Condition of existence of tan4v+tan3v there are 2 solution of condition of existence ?",
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"id": 1039645292091412500,
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"author_name": "Zybikron",
"timestamp": "11/08/2022 15:59:13",
"content": "yes",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 15:59:33",
"content": "ok ty",
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"id": 1039645388707213300,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 15:59:36",
"content": ".close",
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"id": 1039645391244759200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 15:59:36",
"content": "Channel closed",
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] | help-9 | 17cf416f0e4144e0898aeb93e2445622 |
201,466 | [
{
"id": 1039647521934426200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 16:08:04",
"content": "Available help channel!",
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{
"id": 1039647605635948500,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:08:24",
"content": "*",
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"id": 1039647608098017300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 16:08:25",
"content": "Pinned a message.",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:08:44",
"content": "can someone explain me this",
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"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:09:44",
"content": "remove denom",
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"id": 1039648005948723200,
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"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:10:00",
"content": "denom can’t be 0",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/08/2022 16:10:03",
"content": "for any fraction to be defined, the denominator is non-zero. \nSo if a fraction is equal to 0, the only posibility is that the top is 0.",
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"id": 1039648101775978600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/08/2022 16:10:23",
"content": "or just multiply both sides by the non-zero denominator",
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"id": 1039648292109287400,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:11:08",
"content": "someone know another thing to finish this equation with another method",
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"id": 1039648360170279000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:11:24",
"content": "double angle formula",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:11:53",
"content": "i use in this ?",
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"timestamp": "11/08/2022 16:12:04",
"content": "yes",
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"id": 1039648549513744400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:12:09",
"content": "4v is A and 3v is B",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:12:10",
"content": "it will be soooo long",
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"id": 1039648562792890400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:12:13",
"content": "double angle for sin",
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"id": 1039648577586204700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:12:16",
"content": "??",
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"id": 1039648589313482900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:12:19",
"content": "u alr remove denom",
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"id": 1039648622943420400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/08/2022 16:12:27",
"content": "sum and difference formula",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:12:32",
"content": "no i said finish equation without removing the denom",
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"timestamp": "11/08/2022 16:12:35",
"content": "oh yeah*",
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"timestamp": "11/08/2022 16:12:38",
"content": "meant this",
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"timestamp": "11/08/2022 16:12:40",
"content": "dk why I said double",
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"timestamp": "11/08/2022 16:12:52",
"content": "wdym",
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"timestamp": "11/08/2022 16:13:19",
"content": "sin(4v+3v) is compressed from numerator",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:13:21",
"content": "do this with using all",
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"timestamp": "11/08/2022 16:13:31",
"content": "^",
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"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:13:36",
"content": "the numerator becomes that",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:13:56",
"content": "yeah but i got sin(4v+3v) in the start then i did cos(3v)sin(4v)...",
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"timestamp": "11/08/2022 16:14:03",
"content": "no need",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:14:07",
"content": "i should come back to sin4v+3v ?",
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"timestamp": "11/08/2022 16:14:16",
"content": "yes",
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"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:14:25",
"content": "so u get sin(7v)=0",
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"timestamp": "11/08/2022 16:14:28",
"content": "and then solve",
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"timestamp": "11/08/2022 16:14:57",
"content": "wait",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:15:21",
"content": "7pi ?",
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"timestamp": "11/08/2022 16:15:41",
"content": "sin7pi=0",
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"timestamp": "11/08/2022 16:16:04",
"content": "so ?",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:16:32",
"content": "@Springsskateboardhey stumble guy are u here",
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"author_name": "notsogood",
"timestamp": "11/08/2022 16:17:19",
"content": "so from there you can use general formula for sin function",
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"timestamp": "11/08/2022 16:17:24",
"content": "were u given a range or nah",
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"timestamp": "11/08/2022 16:17:28",
"content": "if not then ye^",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:17:43",
"content": "for this what i do",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:17:50",
"content": "v = pi ?",
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"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:17:56",
"content": "were u given a range v can take",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:18:06",
"content": "im bad at english wait i take google translate",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/08/2022 16:18:08",
"content": "like 0<=v<=360 or smth",
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"timestamp": "11/08/2022 16:18:09",
"content": "okay",
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"timestamp": "11/08/2022 16:18:24",
"content": "no range",
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"timestamp": "11/08/2022 16:18:29",
"content": "okay",
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"timestamp": "11/08/2022 16:18:38",
"content": "so general formula",
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"timestamp": "11/08/2022 16:18:54",
"content": "there are no range so what i do",
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"timestamp": "11/08/2022 16:18:57",
"content": "general formula ,",
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"timestamp": "11/08/2022 16:18:58",
"content": "?",
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"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:20:08",
"content": "what is a general formula im not english maybe i know in french",
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"timestamp": "11/08/2022 16:20:19",
"content": "@notsogood",
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"author_name": "notsogood",
"timestamp": "11/08/2022 16:20:49",
"content": "well if sin(7v)=0",
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"timestamp": "11/08/2022 16:21:30",
"content": "you can equate 7v = (pi)n",
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"timestamp": "11/08/2022 16:21:39",
"content": "where n is an integer",
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"author_name": "notsogood",
"timestamp": "11/08/2022 16:21:51",
"content": "from there v = n(pi)/7",
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"timestamp": "11/08/2022 16:22:06",
"content": "ok i see",
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"timestamp": "11/08/2022 16:22:11",
"content": "and the denominator i dont need to touch it ?",
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"id": 1039651136220713000,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:22:26",
"content": "cos4vcos3v",
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},
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"id": 1039651136250060800,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:22:26",
"content": "no they just multiply with zero",
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"id": 1039651155745185900,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:22:31",
"content": "Ok thanks",
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},
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"id": 1039651234325475300,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:22:50",
"content": "but you to check that the denominator dont become zero",
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"id": 1039651263714951200,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:22:57",
"content": "how i check",
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},
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"id": 1039651597254414300,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:24:16",
"content": "just write general formula for both of them",
"attachments": [],
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},
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"id": 1039651640564789200,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:24:26",
"content": "and check if th answer have them",
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"id": 1039651689508114600,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:24:38",
"content": "if they do then remove them from it",
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},
{
"id": 1039651731845414900,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:24:48",
"content": "what is general formula its sin(x+y) ?",
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},
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"id": 1039651989522501600,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:25:50",
"content": "you have general formula for sin x as n(pi) +(-1)^n *x",
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"id": 1039652040315523100,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:26:02",
"content": "it is easier for cosx",
"attachments": [],
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},
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"id": 1039652152328601600,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:26:28",
"content": "i dont know this formula",
"attachments": [],
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},
{
"id": 1039652324005658800,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:27:09",
"content": "well if sin x is zero later part becomes zero as x is 0",
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},
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"id": 1039652383589937200,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:27:24",
"content": "dont have to worry",
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},
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"id": 1039652408218898400,
"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:27:29",
"content": "for that",
"attachments": [],
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},
{
"id": 1039652447783768200,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:27:39",
"content": "okey",
"attachments": [],
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},
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"id": 1039652464313512000,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:27:43",
"content": "thanks bye",
"attachments": [],
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},
{
"id": 1039652474245615700,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/08/2022 16:27:45",
"content": ".close",
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},
{
"id": 1039652477060006000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 16:27:46",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | fe9402276c6f4316970b92ec98b2cd89 |
201,467 | [
{
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"author_id": 933320978530975700,
"author_name": "notsogood",
"timestamp": "11/08/2022 16:27:47",
"content": "bye",
"attachments": [],
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},
{
"id": 1039652735844356100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 16:28:48",
"content": "Available help channel!",
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},
{
"id": 1039653298346672300,
"author_id": 429713284040753150,
"author_name": "Fartis",
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"timestamp": "11/08/2022 16:31:02",
"content": "Pinned a message.",
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"author_id": 429713284040753150,
"author_name": "Fartis",
"timestamp": "11/08/2022 16:31:37",
"content": "how do I find the implicit derivative?",
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 16:46:37",
"content": "@Fartis Has your question been resolved?",
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"id": 1039659882120499300,
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"author_name": "ta",
"timestamp": "11/08/2022 16:57:11",
"content": "nice nick",
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{
"id": 1039659994464927700,
"author_id": 646060251594096600,
"author_name": "ta",
"timestamp": "11/08/2022 16:57:38",
"content": "i cant answer your question tho",
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 17:01:37",
"content": "Channel closed",
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}
] | help-9 | e53ba160555c41e99093465db4c9da46 |
201,468 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 17:02:37",
"content": "Available help channel!",
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"id": 1039661282959302700,
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"content": "Pinned a message.",
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"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:03:03",
"content": "what do i choose delta as?\nso i have |x-0| < delta\nthen |f(x) - f(0)| = x^3 + 2sqrt x < delta^3 + 2 sqrt delta",
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{
"id": 1039661479789604900,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:03:32",
"content": "what is a fnction greater than x^3 + 2sqrt x, for 0 to infinty",
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},
{
"id": 1039664932981051400,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:17:16",
"content": "|x^3 - a^3 + 2(sqrt(x) - sqrt(x))| = \n|(x - a)(x^2 + ax + a^2) + 2(sqrt(x) - sqrt(x))| = \n|[(sqrt(x) - sqrt(a))(sqrt(x) + sqrt(a))(x^2 + ax + a^2) + 2(sqrt(x) - sqrt(x))| = \n|(sqrt(x) - sqrt(a))| |[(sqrt(x) + sqrt(a))(x^2 + ax + a^2) + 2| < |[(sqrt(x) + sqrt(a))(x^2 + ax + a^2) + 2| delta. \nThis is somewhat the approach I'd take. \nIn short, assume x^3 - a^3 has a factor x - a, factor it out, the realise that x - a = (sqrt(x))^2 - (sqrt(a))^2 is a difference of two squares and factor again.",
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"id": 1039665693651632100,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:20:17",
"content": "whats a here?",
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},
{
"id": 1039665730037223400,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:20:26",
"content": "Oh sorry.",
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},
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"id": 1039665752619352000,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:20:31",
"content": "0 right",
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},
{
"id": 1039665792012271600,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:20:40",
"content": "cuz its gotta be at x=0",
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},
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"id": 1039665872962330600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:21:00",
"content": "",
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"author_name": "stabulo",
"timestamp": "11/08/2022 17:21:15",
"content": "I thought the question wanted you to show it's continuous everywhere.",
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},
{
"id": 1039666634618581100,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:24:01",
"content": "so what do i choose as delta",
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},
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"id": 1039666752973459600,
"author_id": 461790531161161700,
"author_name": "zafakhyousay",
"timestamp": "11/08/2022 17:24:29",
"content": "i have to show x^3 + 2sqrt x < epsilon",
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},
{
"id": 1039667098491818000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:25:52",
"content": "Thinking.",
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},
{
"id": 1039667793441857700,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:28:38",
"content": "|x^3 + 2 sqrt(x)| = 1/sqrt(x)|x^2sqrt(x) + 2x| = |x|/sqrt(x)|x sqrt(x) + 2| < |x sqrt(x) + 2|/sqrt(x) delta.",
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"id": 1039668008068583400,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/08/2022 17:29:29",
"content": "Not too sure though. As x goes to zero, the denominator is going to make it blow up so now sure how that works.",
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"id": 1039670259076059100,
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"author_name": "stabulo",
"timestamp": "11/08/2022 17:38:25",
"content": "I think it's fine actually. |x sqrt(x) + 2|/sqrt(x) has a limit as x goes to 0+ as |x sqrt(x) + 2|/sqrt(x) <= |x| + 2/sqrt(x) equals, as x goes to 0+, zero.",
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 17:43:26",
"content": "@zafakhyousay Has your question been resolved?",
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"timestamp": "11/08/2022 17:58:26",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 5df0bb4ccdfb47e4b16e9a3d8ac845f3 |
201,469 | [
{
"id": 1039677113323757700,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:05:40",
"content": "Available help channel!",
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},
{
"id": 1039677386364563500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:06:45",
"content": "hEyow",
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},
{
"id": 1039677388243599400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:06:45",
"content": "Pinned a message.",
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"author_name": "deg",
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{
"id": 1039677463644618800,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:07:03",
"content": "The total area of these circles are",
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},
{
"id": 1039677540773671000,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:07:21",
"content": "$$18\\pi \\text{cm}^2$$",
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},
{
"id": 1039677715378356400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 18:08:03",
"content": "**studying lang calculus**",
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{
"id": 1039677748609814700,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:08:11",
"content": "What is the area of the rectangle?",
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},
{
"id": 1039677925152264300,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:08:53",
"content": "since the area of 1 circle is 9pi cm^2",
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{
"id": 1039678000368718000,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:09:11",
"content": "i think",
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{
"id": 1039678103275982800,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:09:36",
"content": "we need to find radius using A = pi r^2?",
"attachments": [],
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{
"id": 1039678307194650800,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 18:10:24",
"content": "18pi cm^2 = pi r^2?",
"attachments": [],
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},
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"id": 1039682083028734000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:25:24",
"content": "@deg Has your question been resolved?",
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"timestamp": "11/08/2022 18:26:00",
"content": "Channel closed",
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}
] | help-9 | 297e770f3d524580bc54dfc294898989 |
201,470 | [
{
"id": 1039682482431344600,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:27:00",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1039683229810184200,
"author_id": 340193216739541000,
"author_name": "CoolShot",
"timestamp": "11/08/2022 18:29:58",
"content": "hey can someone check this proof",
"attachments": [],
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},
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"id": 1039683234600063100,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:29:59",
"content": "Pinned a message.",
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"id": 1039683462908608500,
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"author_name": "CoolShot",
"timestamp": "11/08/2022 18:30:53",
"content": "nvm",
"attachments": [],
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},
{
"id": 1039683466427641900,
"author_id": 340193216739541000,
"author_name": "CoolShot",
"timestamp": "11/08/2022 18:30:54",
"content": ".close",
"attachments": [],
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},
{
"id": 1039683469695000600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:30:55",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 6ed5f34c7c5e47d48f840a8087624b91 |
201,471 | [
{
"id": 1039683484161163300,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "11/08/2022 18:30:59",
"content": "lol",
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},
{
"id": 1039683522899759100,
"author_id": 340193216739541000,
"author_name": "CoolShot",
"timestamp": "11/08/2022 18:31:08",
"content": "the proof was right after all",
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},
{
"id": 1039683659344646100,
"author_id": 340193216739541000,
"author_name": "CoolShot",
"timestamp": "11/08/2022 18:31:40",
"content": "did it close?",
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},
{
"id": 1039683663031435300,
"author_id": 340193216739541000,
"author_name": "CoolShot",
"timestamp": "11/08/2022 18:31:41",
"content": ".close",
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},
{
"id": 1039684309331747000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "11/08/2022 18:34:15",
"content": "yeah theres a bit of a lag",
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},
{
"id": 1039684354244354200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "11/08/2022 18:34:26",
"content": "before it becomes free again",
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},
{
"id": 1039684393914089600,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "11/08/2022 18:34:35",
"content": "to give you time to reopen",
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"reference": null
},
{
"id": 1039684425862095000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "11/08/2022 18:34:43",
"content": "without someone claiming",
"attachments": [],
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},
{
"id": 1039685761596919900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:40:01",
"content": "Available help channel!",
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},
{
"id": 1039686255828533400,
"author_id": 281597637440831500,
"author_name": "Seany_krabs",
"timestamp": "11/08/2022 18:41:59",
"content": "How does 1 turn into 10^1 here?",
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:42:00",
"content": "Pinned a message.",
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"id": 1039686683299418100,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 18:43:41",
"content": "When you remove log, you raise RHS with the base of log",
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"author_id": 281597637440831500,
"author_name": "Seany_krabs",
"timestamp": "11/08/2022 18:44:36",
"content": "Oh, so the base of the log is 10, and it's raised to the number on the RHS?",
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"id": 1039687234909126700,
"author_id": 281597637440831500,
"author_name": "Seany_krabs",
"timestamp": "11/08/2022 18:45:53",
"content": ".close",
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},
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"id": 1039687237635407900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:45:53",
"content": "Channel closed",
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}
] | help-9 | a35968960e6943ae9dc5b4f87c436a55 |
201,472 | [
{
"id": 1039688786197618700,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 18:52:03",
"content": "Available help channel!",
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},
{
"id": 1039689272204197900,
"author_id": 132246380260491260,
"author_name": "KIVI KANA",
"timestamp": "11/08/2022 18:53:58",
"content": "Hi! What is the intermediate step between the two circled parts i.e. how do we get from the first part to the second one? 🤔",
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"content": "Pinned a message.",
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"id": 1039691432363053200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/08/2022 19:02:34",
"content": "ah yea this one's tricky",
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},
{
"id": 1039691532120367200,
"author_id": 815943761485758500,
"author_name": "Maisonave",
"timestamp": "11/08/2022 19:02:57",
"content": "that question crazy bruh",
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},
{
"id": 1039691569051213800,
"author_id": 815943761485758500,
"author_name": "Maisonave",
"timestamp": "11/08/2022 19:03:06",
"content": "i only know like 1+2 stuff",
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},
{
"id": 1039691636906668000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/08/2022 19:03:22",
"content": "LOL",
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},
{
"id": 1039692468834283500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/08/2022 19:06:41",
"content": "Geometric series?",
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},
{
"id": 1039692494893494300,
"author_id": 132246380260491260,
"author_name": "KIVI KANA",
"timestamp": "11/08/2022 19:06:47",
"content": "yes",
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},
{
"id": 1039692780487835800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/08/2022 19:07:55",
"content": "ah yea there's either a derivative trick or you just write out the `j` terms and group them",
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},
{
"id": 1039693915495874600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/08/2022 19:12:26",
"content": "$1 \\cdot \\lambda^1 + 2 \\cdot \\lambda^2 + 3 \\cdot \\lambda^3 + \\ldots$",
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},
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"id": 1039693926375903400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 19:12:28",
"content": "**riemann**",
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"id": 1039693948198863000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/08/2022 19:12:33",
"content": "$(1 \\cdot \\lambda^1 + 1 \\cdot \\lambda^2 + 1 \\cdot \\lambda^3 + \\ldots ) + (1 \\cdot \\lambda^2 + 1\\cdot \\lambda^3+\\ldots) + \\ldots$",
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"id": 1039694045129224200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/08/2022 19:12:56",
"content": "now you can factor out lambda from the first one, lambda^2 from the second, etc.",
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},
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"id": 1039694119972372600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 19:13:14",
"content": "**riemann**",
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"id": 1039694338420129800,
"author_id": 132246380260491260,
"author_name": "KIVI KANA",
"timestamp": "11/08/2022 19:14:06",
"content": "Great, thanks everyone!",
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},
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"id": 1039694345751773200,
"author_id": 132246380260491260,
"author_name": "KIVI KANA",
"timestamp": "11/08/2022 19:14:08",
"content": ".close",
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},
{
"id": 1039694350088687700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 19:14:09",
"content": "Channel closed",
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}
] | help-9 | b6f3657a62bd4d51bf3ec257ddb0bf06 |
201,473 | [
{
"id": 1033443810325319700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 14:16:44",
"content": "Available help channel!",
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},
{
"id": 1033444507410243600,
"author_id": 1019598615548792800,
"author_name": "playboy",
"timestamp": "10/22/2022 14:19:31",
"content": "f(x)= -|x-a|+1 (-1+a<=x<=1+a)\n 0 (x<-1+a , x>1+a)",
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},
{
"id": 1033444510954426500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 14:19:31",
"content": "Pinned a message.",
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"id": 1033445435068645400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/22/2022 14:23:12",
"content": "**cobrarate**",
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"id": 1033446124725485700,
"author_id": 1019598615548792800,
"author_name": "playboy",
"timestamp": "10/22/2022 14:25:56",
"content": "(b=2n-1)\n\nwhen g'(p)=0 and g(p)<0, p_1+p_2+....p_c = 45\n\ng(p_1)+...+g(p_c)=d/π²\n\nd=?",
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"id": 1033449900475691000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 14:40:56",
"content": "@playboy Has your question been resolved?",
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"id": 1033452431352275000,
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"author_name": "playboy",
"timestamp": "10/22/2022 14:51:00",
"content": "@Helpers",
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},
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"id": 1033459982127087600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 15:21:00",
"content": "@playboy Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 15:51:00",
"content": "Channel closed",
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}
] | help-9 | af9cea3443204ddd945caf58095786bb |
201,474 | [
{
"id": 1039694601369436200,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 19:15:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1039694918895026200,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:16:25",
"content": "",
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"id": 1039694922586005600,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 19:16:26",
"content": "Pinned a message.",
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"content": "",
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{
"id": 1039695946759549000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:20:30",
"content": "Hint:",
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},
{
"id": 1039696115689340900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:21:10",
"content": "Draw a diagonal, from one corner to the opposite. What do you know about that diagonal? (Express it using Pythagorean theorem hint hint nudge nudge)",
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},
{
"id": 1039696208022753300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:21:32",
"content": "@≫ Isحak",
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{
"id": 1039696307721351200,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 19:21:56",
"content": "Diagonal to square?",
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{
"id": 1039696541201481900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:22:52",
"content": "Yes, draw a line from one corner of the square to the other",
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{
"id": 1039696725633417200,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:23:36",
"content": "I'm a bit short of time :sadcat: for this homework... Could u please tell me the answer and then i can actually work it out after submitting it?",
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{
"id": 1039696798207447200,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 19:23:53",
"content": "use trigonometry",
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},
{
"id": 1039696799524466700,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:23:53",
"content": "my teacher will get mad if i dont send it rn :(",
"attachments": [],
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"reference": null
},
{
"id": 1039696844743262200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:24:04",
"content": "I’ll try my best",
"attachments": [],
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"reference": null
},
{
"id": 1039696863248535600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:24:08",
"content": "But",
"attachments": [],
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},
{
"id": 1039697005787746300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:24:42",
"content": "Do try be on time. But when u try figure out homework and stuff don’t blame yourself, rather blame your approach,",
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},
{
"id": 1039697032539029500,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 19:24:49",
"content": "2 * 8tan(22.5)",
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},
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"id": 1039697055691579400,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:24:54",
"content": "of course",
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"id": 1039697195613573200,
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"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:25:28",
"content": "that gives 6.6",
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{
"id": 1039697407648215000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/08/2022 19:26:18",
"content": ",calc (sqrt(2) - 1) * 16",
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},
{
"id": 1039697473037418500,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:26:34",
"content": "ahh i have 3 mins left lollll",
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},
{
"id": 1039697492473827300,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:26:38",
"content": "for the hw",
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},
{
"id": 1039697501562884100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 19:26:41",
"content": "Result:\n```\n6.6274169979695\n```",
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},
{
"id": 1039697543581417500,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "11/08/2022 19:26:51",
"content": "so is the answer none of the above?",
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},
{
"id": 1039697551735136300,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 19:26:52",
"content": "None of the answers are correct, then",
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},
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"timestamp": "11/08/2022 19:26:53",
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] | help-9 | 8ba80aa9d8b14169bf0d1720a3a9d79b |
201,475 | [
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"content": "because arctan(335/445) is not a number",
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"content": "it asks for radians",
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"content": "what equation would i do",
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"content": "to solve for radian",
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"content": "this arctan(335/445)",
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"content": "but like actually put it into a calculator or smth",
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"content": "hmm",
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"content": "strange becusae the thing is already a calculator based answer",
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"timestamp": "11/08/2022 19:34:42",
"content": "so it would calculate that and it should be corect if we are correct on how we would sole it",
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"content": "what",
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"content": "try arcsin(335/445)",
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"timestamp": "11/08/2022 19:35:44",
"content": "didnt work",
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"timestamp": "11/08/2022 19:35:54",
"content": "using tan in that situation radian is 39 which make no sense",
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"content": "arc tan can be used cause its adjacent and opposite sides",
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"timestamp": "11/08/2022 19:36:11",
"content": "it was arcsin",
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"content": "rip lol",
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"timestamp": "11/08/2022 19:36:23",
"content": "I've edited",
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"timestamp": "11/08/2022 19:36:24",
"content": "just",
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"content": "np",
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"content": "idk why it was arcsin tho",
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"timestamp": "11/08/2022 19:36:49",
"content": "and not arctan",
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"timestamp": "11/08/2022 19:37:45",
"content": "sin(theta) = 335/445",
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"timestamp": "11/08/2022 19:38:19",
"content": "question is badly phrasedd. the 445 seems like horizontal component",
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"timestamp": "11/08/2022 19:38:47",
"content": "but yea makes sense then",
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"timestamp": "11/08/2022 19:51:50",
"content": "@khku Has your question been resolved?",
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"timestamp": "11/08/2022 19:59:43",
"content": "yup i know now rip lol",
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"content": "ty",
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"timestamp": "11/08/2022 20:06:50",
"content": "Channel closed",
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}
] | help-9 | 9d23fb45a2b2496eb47875a03dca1a40 |
201,476 | [
{
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"content": "Is this right? Question is confusing me",
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"timestamp": "11/08/2022 20:11:51",
"content": "22 or 23?",
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},
{
"id": 1039708891124076500,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 20:11:56",
"content": "22",
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{
"id": 1039709154866118700,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 20:12:59",
"content": "Why would you divide by 5 rather than multiplying by it?",
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"timestamp": "11/08/2022 20:13:10",
"content": "x/5 = 18",
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"id": 1039709220880257000,
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"timestamp": "11/08/2022 20:13:15",
"content": "x=90",
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},
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"id": 1039709233215705100,
"author_id": 972201336936497200,
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"timestamp": "11/08/2022 20:13:18",
"content": "and not 3.6",
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"content": "@G-Three",
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"timestamp": "11/08/2022 20:16:07",
"content": "wait",
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{
"id": 1039710035175014400,
"author_id": 708014595155034200,
"author_name": "G-Three",
"timestamp": "11/08/2022 20:16:29",
"content": "Because it says to dibide by 5?? Didnt know that was an option",
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"author_name": "G-Three",
"timestamp": "11/08/2022 20:18:26",
"content": "Oh my bad i forgot basic steps",
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"timestamp": "11/08/2022 20:18:51",
"content": "Well the one below it i still dont rlly get either",
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"author_name": "Reacquired",
"timestamp": "11/08/2022 20:25:35",
"content": "what do you know about sides and angles of an isosceles triangle",
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"timestamp": "11/08/2022 20:34:11",
"content": "@G-Three Has your question been resolved?",
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"timestamp": "11/08/2022 20:35:21",
"content": "They are congruent? Can i then set CM and SC equal to solve?",
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"timestamp": "11/08/2022 20:35:37",
"content": "yup",
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"timestamp": "11/08/2022 20:37:58",
"content": "so 12x+10=15x-11",
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"id": 1039715481793351700,
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"timestamp": "11/08/2022 20:38:07",
"content": "10=3x-11",
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"timestamp": "11/08/2022 20:38:20",
"content": "21=3x",
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"timestamp": "11/08/2022 20:38:26",
"content": "X=7?",
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"timestamp": "11/08/2022 20:56:04",
"content": "yup",
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"timestamp": "11/08/2022 20:56:13",
"content": "tag",
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"timestamp": "11/08/2022 20:57:08",
"content": "Thanks!",
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"timestamp": "11/08/2022 20:57:15",
"content": ".close",
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] | help-9 | 93b1f599a50c4aa79092f00c6ee458ce |
201,477 | [
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"timestamp": "11/08/2022 21:07:13",
"content": "hello 🙂",
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"timestamp": "11/08/2022 21:07:44",
"content": "I need help on how to apply chain rule with this problem",
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] | help-9 | 6e89246d51e7410ba40ba59739df468f |
201,478 | [
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"content": "How would I go about doing this?",
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"content": "I understand r = 2 so the upper bound for that",
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"content": "but the lower bound when r = 0",
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] | help-9 | ba44dbb2180e48a3868135c048aebfbd |
201,479 | [
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"content": "I got one answer, but the solution says it could be 3 or -5",
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"timestamp": "11/08/2022 22:46:24",
"content": "Idk how to get -5",
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"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/08/2022 22:46:32",
"content": "sqrt 16 can be + or - 4",
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"timestamp": "11/08/2022 22:46:57",
"content": "how does that work",
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"content": "if you plug -5 into your equation",
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"content": "it also works",
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"content": "Oh i see",
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"timestamp": "11/08/2022 22:47:31",
"content": "because it could be +5 or -5 units away?",
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"content": "when you take the sqrt, you consider both cases",
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"content": "no its always 5 units away",
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"content": "you cant get -5 units away",
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"timestamp": "11/08/2022 22:47:51",
"content": "on a coordinate plane",
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"timestamp": "11/08/2022 22:47:54",
"content": "last second step in ur solution",
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"author_name": "aaravgo",
"timestamp": "11/08/2022 22:48:03",
"content": "it would have to be +5 y or -5 y right?",
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"author_name": "aaravgo",
"timestamp": "11/08/2022 22:48:20",
"content": "is that a standard rule or just for this case?",
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"timestamp": "11/08/2022 22:48:33",
"content": "Always. In algebra.",
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"timestamp": "11/08/2022 22:49:07",
"content": "OH",
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"author_name": "aaravgo",
"timestamp": "11/08/2022 22:49:30",
"content": "because the sqrt of 16 could be -4 or +4?",
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"timestamp": "11/08/2022 22:49:34",
"content": "x^2 =4",
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"content": "x can be both 2 and -2",
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"timestamp": "11/08/2022 22:49:47",
"content": "yeah i see, thanks alot",
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"timestamp": "11/08/2022 22:50:10",
"content": ".close",
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] | help-9 | fdaa3c0f01524e818b39332b16d364ea |
201,480 | [
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"timestamp": "11/08/2022 22:59:26",
"content": "Can someone walk me through this?",
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"content": "ok i figured out minimum",
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] | help-9 | e7bb82ea18ea4824befa7f491127ff79 |
201,481 | [
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"id": 1039758402588516400,
"author_id": 403358187362844700,
"author_name": "Highlander",
"timestamp": "11/08/2022 23:28:40",
"content": "Can someone help me with reading and understanding how to write the constraints for linear problem equations?",
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"timestamp": "11/08/2022 23:29:52",
"content": "I understand the general concept, it’s just that there’s something that confuses me, I’ll send a pic to explain what I mean",
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"id": 1039759447058284500,
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"timestamp": "11/08/2022 23:32:49",
"content": "Like in this problem I’m unsure what my constraints are, and how to properly write them down",
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"timestamp": "11/08/2022 23:34:16",
"content": "For this one I don’t understand how the different supplements are supposed to be written as constraints",
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"content": "@Helpers",
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"content": "@Highlander Has your question been resolved?",
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] | help-9 | 25a7d7fa23ce45e08945b850e86cbb3c |
201,482 | [
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] | help-9 | 1bc74ad34a814144bea1e7ea750a8def |
201,483 | [
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"content": "Im calculating derivative of `cos(5x+1)^4` and I got an answer of `-4 * cos(5x+1)^3 * sin(5x+1)` using the chain rule, but Wolfram gives the answer to be `-20 * cos(5x+1)^3 * sin(5x+1)`. Where is that -20 coming from?",
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"timestamp": "11/09/2022 04:38:24",
"content": "You needed to apply chain rule one more time, by multiplying the result by the derivative of (5x + 1)",
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"content": "oh so 5x+1 is also considered a function?",
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"content": "Yes?",
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"content": "ah ok i thought it was just a number and it gets written down with the rest of the answer",
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"content": "@turner Has your question been resolved?",
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] | help-9 | b4fb555f5ce8416b9b42ba82e9486a47 |
201,484 | [
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"content": "Does the exponent outside go into all them first?",
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] | help-9 | 9687375711584568922ea3d4ddf09716 |
201,485 | [
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] | help-9 | 0e4acba10ba9495e8c44cdafb5a3deb5 |
201,486 | [
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"timestamp": "11/09/2022 04:58:51",
"content": "Could somebody just quickly explain how i do laplace transofmr of ty''(t)",
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"content": "I know how to transform the second and third term but not sure how to do it with an already differentiated function",
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"author_name": "Antonio",
"timestamp": "11/09/2022 05:01:54",
"content": "Yeah I have access to a table but I'm not quite sure which one",
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"timestamp": "11/09/2022 05:02:03",
"content": "looks like (30) is the closest",
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"timestamp": "11/09/2022 05:04:21",
"content": "i think you can use a combo of 30 and 37",
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"content": "oh I can just combine them?",
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"content": "Laplace is not generally L(a*b)=L(a)L(b)",
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"content": "but yeah ill just put the derivative in front of the laplace of y''",
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"timestamp": "11/09/2022 05:05:34",
"content": "$\\ell(\\frac{d^2}{dx^2}(tf(t)))$",
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"timestamp": "11/09/2022 05:05:35",
"content": "That seems to check out",
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"timestamp": "11/09/2022 05:06:26",
"content": "**Max..**",
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"timestamp": "11/09/2022 05:06:28",
"content": "rip no capital L",
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"timestamp": "11/09/2022 05:06:36",
"content": "i think you do that",
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"timestamp": "11/09/2022 05:06:47",
"content": "Alright thank you. Think I get the property",
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"author_name": "Antonio",
"timestamp": "11/09/2022 05:06:56",
"content": ":aPES_Salute:",
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"id": 1039843723552505900,
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"timestamp": "11/09/2022 05:07:43",
"content": "$\\ell(\\frac{d^2}{dx^2}(tf(t)))=\\ell(tf''(t)+f'(t))=\\ell(tf''(t))+\\ell(f'(t)$",
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"timestamp": "11/09/2022 05:07:45",
"content": "**Max..**",
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"timestamp": "11/09/2022 05:08:17",
"content": "np, i hope it works lol, long time since ive done laplace for DE's",
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"timestamp": "11/09/2022 05:08:39",
"content": "Thanks again 🙂",
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"content": ".close",
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] | help-9 | f930caa77b9d478194e24e426b3ed070 |
201,487 | [
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] | help-9 | 2f49846f614243aabe4d92974d16d609 |
201,488 | [
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"timestamp": "11/09/2022 06:05:59",
"content": "helloooo can someone help me with my calculus\n?",
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"author_id": 1022141568737607800,
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"timestamp": "11/09/2022 06:19:16",
"content": "What that's horrible..",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:19:40",
"content": "You have to solve for each equation for its variable and solve for it again in each of the equations??",
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"id": 1039861861178421400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:19:47",
"content": "And then take the detivative",
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"id": 1039861868363255800,
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"timestamp": "11/09/2022 06:19:49",
"content": "Bruhh",
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"id": 1039861903767392300,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:19:57",
"content": "i dunno",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:20:00",
"content": "Okay this is going to take a while",
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},
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"id": 1039862003658920000,
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"author_name": "rawru",
"timestamp": "11/09/2022 06:20:21",
"content": "i just don't understand this topic",
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"author_name": "rawru",
"timestamp": "11/09/2022 06:20:37",
"content": "does that mean there would be 4 answers?",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:20:40",
"content": "they basically want you to take the detivative of dy/dx",
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"id": 1039862142209359900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:20:54",
"content": "But problem is that the x and y are not in the same equation right?",
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"id": 1039862197498691700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:21:07",
"content": "You have to get the x to the y's equation",
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"id": 1039862236946124800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:21:16",
"content": "By a series of solving for variables",
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"id": 1039862391183261700,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:21:53",
"content": "ummmm",
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"id": 1039862395817955300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:21:54",
"content": "So we have to start with v",
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"id": 1039862426742566900,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:22:02",
"content": "alright",
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"id": 1039862476038213800,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:22:13",
"content": "wait so do i have to do substitution?",
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"id": 1039862504341393400,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:22:20",
"content": "or no",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:23:01",
"content": "This is going to be so horrible there is no way your teachers are going to make you suffer that much",
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"id": 1039862693546442800,
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:23:05",
"content": "There must be a better way wait",
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"id": 1039862751297810400,
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"author_name": "rawru",
"timestamp": "11/09/2022 06:23:19",
"content": "well that is how my school works\n\nto make us suffer jk",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:24:28",
"content": "so um",
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"id": 1039863076574478300,
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:24:37",
"content": "one minute let me write this out",
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"author_name": "rawru",
"timestamp": "11/09/2022 06:24:43",
"content": "alright alright",
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},
{
"id": 1039863135911292900,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:24:51",
"content": "sorry to bother u",
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},
{
"id": 1039864477174218800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:30:11",
"content": "no but like",
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"id": 1039864507243184300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:30:18",
"content": "u have some",
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},
{
"id": 1039864535378579500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:30:24",
"content": "very very \"\"funny\"\" teachers",
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"id": 1039864547974074400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:30:27",
"content": "will tell ya that much",
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"id": 1039864571030143000,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:30:33",
"content": "yeah they're very funny",
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"author_name": "rawru",
"timestamp": "11/09/2022 06:30:45",
"content": "they're funny which that makes me want to cry",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:32:26",
"content": "Holy shit",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:32:36",
"content": "they want u to take the derivative of that y",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:32:39",
"content": "holy fucking shit",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:33:23",
"content": "",
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"timestamp": "11/09/2022 06:33:37",
"content": "yeah um @rawru",
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"timestamp": "11/09/2022 06:33:45",
"content": "again, very funny teachers",
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"author_name": "rawru",
"timestamp": "11/09/2022 06:33:56",
"content": "oh my god",
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"id": 1039865503423930400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:34:15",
"content": "i dont even know how long that would take me ahaha omg",
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"id": 1039865573980508200,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:34:32",
"content": "😦",
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"id": 1039865598546546700,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:34:38",
"content": "i'll try to ask some more people",
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"id": 1039865622844145700,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:34:44",
"content": "thanks for trying to help tho <3333333333",
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{
"id": 1039865635997503500,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:34:47",
"content": "i appreciate it",
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},
{
"id": 1039865667375075300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:34:54",
"content": "there is probably some trick to solve that",
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"id": 1039865687298019500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:34:59",
"content": "or ur teachers are like",
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"id": 1039865698412941300,
"author_id": 831106185015853000,
"author_name": "rawru",
"timestamp": "11/09/2022 06:35:02",
"content": "yeah maybe",
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{
"id": 1039865703966187500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:35:03",
"content": "severely sadistic",
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"id": 1039865815215910900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:35:30",
"content": "Yeah ofcc anytime <33 sorry for the lack of help",
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"id": 1039865858173976700,
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"author_name": "rawru",
"timestamp": "11/09/2022 06:35:40",
"content": "nonono it's alright!!",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:36:06",
"content": "Oh but if u do like",
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"id": 1039866013472272400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:36:17",
"content": "Get a way to solve that other than what I showed u",
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"id": 1039866044807917600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 06:36:24",
"content": "DM me I'm kinda curious to know lmaoo",
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"timestamp": "11/09/2022 06:50:40",
"content": "@rawru Has your question been resolved?",
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"timestamp": "11/09/2022 07:05:41",
"content": "Channel closed",
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] | help-9 | e24049269fc448a5aa4adcef17ad3b10 |
201,489 | [
{
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"timestamp": "11/09/2022 07:06:42",
"content": "Available help channel!",
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},
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"id": 1039875252844495000,
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"content": "Pinned a message.",
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"author_id": 579997429613461500,
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"timestamp": "11/09/2022 07:13:01",
"content": "is this differentiating",
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"timestamp": "11/09/2022 07:15:04",
"content": "Nope",
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"id": 1039875793116987400,
"author_id": 1022141568737607800,
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"timestamp": "11/09/2022 07:15:09",
"content": "That is in fact the inverse",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 07:15:24",
"content": "And in part a the composition",
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"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/09/2022 07:15:39",
"content": "what is part called?",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 07:15:53",
"content": "Wdym?",
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"author_name": "J__l. J",
"timestamp": "11/09/2022 07:15:57",
"content": "is it substitution",
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"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/09/2022 07:16:15",
"content": "how would you sub in g(x) into f(x)",
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"timestamp": "11/09/2022 07:16:32",
"content": "Part a you have to do function composition\n\nPart b you have to find the inverse of a function",
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"timestamp": "11/09/2022 07:16:49",
"content": "Well, by doing exactly that",
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"timestamp": "11/09/2022 07:17:10",
"content": "Assume g(x) as the input (x) for function f(x)",
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"timestamp": "11/09/2022 07:17:23",
"content": "And sub it in like how you would for f(2) or anything else",
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"timestamp": "11/09/2022 07:18:05",
"content": "oh so you sub g(x) into the x components of f(x)?",
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"timestamp": "11/09/2022 07:18:10",
"content": "Yep",
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"timestamp": "11/09/2022 07:18:11",
"content": "U got it",
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"timestamp": "11/09/2022 07:18:17",
"content": "ah ok got it thanks",
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"timestamp": "11/09/2022 07:20:08",
"content": "for part B are you just doing y =",
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] | help-9 | 8b798ec392914a8296603897eea14cca |
201,490 | [
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"author_name": "Timanaku",
"timestamp": "11/09/2022 08:29:36",
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"timestamp": "11/09/2022 08:29:37",
"content": "Pinned a message.",
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"author_id": 184723515029585920,
"author_name": "Timanaku",
"timestamp": "11/09/2022 08:30:08",
"content": "not sure how I would explain this",
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},
{
"id": 1039896205917954000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/09/2022 08:36:15",
"content": "for x in [n, n+1], you have x ≤ n+1 and so 1/x ≥ 1/(n+1)",
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"id": 1039896238289588400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/09/2022 08:36:23",
"content": "integrating 1/(n+1) dx over [n, n+1] gives 1/(n+1)",
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"id": 1039897487932137500,
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"author_name": "Timanaku",
"timestamp": "11/09/2022 08:41:21",
"content": "So because the area of 1/(n+1) over that interval is = 1/(n+1) and 1/(n+1) <= 1/x then it has to be <= int from n to n+1 of 1/x?",
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"author_name": "Ann",
"timestamp": "11/09/2022 08:47:01",
"content": "slippery wording but yes",
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},
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"timestamp": "11/09/2022 08:56:21",
"content": "@Timanaku Has your question been resolved?",
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"timestamp": "11/09/2022 08:59:12",
"content": "Channel closed",
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}
] | help-9 | d24de92573e24e0a9f07e939239ddf0e |
201,491 | [
{
"id": 1039907593239404500,
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"timestamp": "11/09/2022 09:21:30",
"content": "Available help channel!",
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},
{
"id": 1039911118509977600,
"author_id": 203927094277701630,
"author_name": "egg",
"timestamp": "11/09/2022 09:35:31",
"content": "whats the difference between coefficient matrix and augemented",
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},
{
"id": 1039911121131417600,
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"content": "Pinned a message.",
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"author_id": 203927094277701630,
"author_name": "egg",
"timestamp": "11/09/2022 09:37:12",
"content": "is this right/",
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"timestamp": "11/09/2022 09:37:20",
"content": "its not possible to put the straight line",
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},
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"timestamp": "11/09/2022 09:43:16",
"content": ".close",
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"timestamp": "11/09/2022 09:43:16",
"content": "Channel closed",
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}
] | help-9 | 07fa803ee4944621aab8b408eda31136 |
201,492 | [
{
"id": 1039913645754294300,
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"content": "Available help channel!",
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},
{
"id": 1039913771688284200,
"author_id": 938597753217491100,
"author_name": "Dr Pepper",
"timestamp": "11/09/2022 09:46:03",
"content": "please help me its an emergency, i have no idea how to do this",
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"content": "Pinned a message.",
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"author_name": "Dr Pepper",
"timestamp": "11/09/2022 09:46:15",
"content": "graph 1",
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"author_name": "Dr Pepper",
"timestamp": "11/09/2022 09:46:22",
"content": "graph 2",
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"timestamp": "11/09/2022 09:46:26",
"content": "graph 3",
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"timestamp": "11/09/2022 09:46:32",
"content": "graph 4",
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"timestamp": "11/09/2022 09:46:38",
"content": "graph 5",
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"author_name": "Dr Pepper",
"timestamp": "11/09/2022 09:46:46",
"content": "idk which one is right please help me",
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},
{
"id": 1039915558101065900,
"author_id": 753979675755151500,
"author_name": "Kitams",
"timestamp": "11/09/2022 09:53:09",
"content": "why is there two graphs",
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},
{
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"author_name": "Dr Pepper",
"timestamp": "11/09/2022 09:55:52",
"content": "theres 5 graphs its multiple choice",
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},
{
"id": 1039916878258262000,
"author_id": 515383150331953150,
"author_name": "J.R.",
"timestamp": "11/09/2022 09:58:24",
"content": "It's an odd one - \n\n$36 = x + 3y\n20 = x + 1.5y\n\nusing y = 0 to find the x intercepts; x = 36 or 20, graph 1 is the only one that fits the bill",
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"id": 1039917622701064300,
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"author_name": "Kitams",
"timestamp": "11/09/2022 10:01:21",
"content": "i was confused like why there two lines in each choice",
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},
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"timestamp": "11/09/2022 10:10:52",
"content": "@Dr Pepper Has your question been resolved?",
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"timestamp": "11/09/2022 10:11:10",
"content": "Channel closed",
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}
] | help-9 | 113a4502c31d40b1b4680dd12f16fe34 |
201,493 | [
{
"id": 1039920115195592700,
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"timestamp": "11/09/2022 10:11:16",
"content": "thank you very much",
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"timestamp": "11/09/2022 10:22:16",
"content": "Available help channel!",
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},
{
"id": 1039924112182747100,
"author_id": 411493308041527300,
"author_name": "Arn",
"timestamp": "11/09/2022 10:27:09",
"content": "Hey guys, is my solution correct?",
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"timestamp": "11/09/2022 10:27:10",
"content": "Pinned a message.",
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{
"id": 1039924930269151200,
"author_id": 696949463205544000,
"author_name": "Th350eo",
"timestamp": "11/09/2022 10:30:24",
"content": "too lazy to read but apply the chain rule:\n\n\"n(x+k)^n-1 . (x')\"\n\nx' being each part differentiated alone",
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"timestamp": "11/09/2022 10:42:09",
"content": "@Arn Has your question been resolved?",
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"timestamp": "11/09/2022 10:57:10",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 4c209c66bcbb46a5bb2e178758886bf7 |
201,494 | [
{
"id": 1039931918625550500,
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 10:58:10",
"content": "Available help channel!",
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},
{
"id": 1039933170113585300,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:03:08",
"content": "How do i calculate logarithms on my calculator?",
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},
{
"id": 1039933174244987000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 11:03:09",
"content": "Pinned a message.",
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{
"id": 1039933275357065300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:03:33",
"content": "press log",
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},
{
"id": 1039933287617003600,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:03:36",
"content": "https://www.citizen-systems.co.jp/english/support/download/electronic/calculator/instruction/data_scientific/SR-260N.pdf This is manual of my calculator but it includes weird example",
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},
{
"id": 1039933315836289000,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:03:43",
"content": "with pressing in",
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},
{
"id": 1039933350032441300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:03:51",
"content": "uh do u have a screenshot instead",
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},
{
"id": 1039933382357950600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:03:59",
"content": "I don’t wanna click links",
"attachments": [],
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},
{
"id": 1039933397411303400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:04:02",
"content": "sry HAHAHA",
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},
{
"id": 1039933491229499400,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:04:25",
"content": "yeah cool",
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},
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"id": 1039933501392306200,
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"author_name": "Muta",
"timestamp": "11/09/2022 11:04:27",
"content": "",
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"author_name": "Muta",
"timestamp": "11/09/2022 11:04:55",
"content": "",
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{
"id": 1039933649031798900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:02",
"content": "yeah",
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},
{
"id": 1039933693059416000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:13",
"content": "what’s the prob?",
"attachments": [],
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},
{
"id": 1039933738081079400,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:05:24",
"content": "it doesnt give right answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1039933760528994400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:29",
"content": "wdym",
"attachments": [],
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"reference": null
},
{
"id": 1039933777746612200,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:05:33",
"content": "i tried simple log2 32",
"attachments": [],
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"reference": null
},
{
"id": 1039933807979155500,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:05:40",
"content": "and pressing log button gives me E",
"attachments": [],
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},
{
"id": 1039933810982273000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:41",
"content": "ah log base 2",
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},
{
"id": 1039933853411840000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:51",
"content": "show me exactly what u pressed",
"attachments": [],
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},
{
"id": 1039933870667206700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:05:55",
"content": "take a picture",
"attachments": [],
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"reference": null
},
{
"id": 1039933927378399400,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:06:09",
"content": "log + 2 + 32",
"attachments": [],
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"reference": null
},
{
"id": 1039933974010659000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:20",
"content": "?",
"attachments": [],
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"reference": null
},
{
"id": 1039933984907477000,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:06:23",
"content": "i also tried 2+32 log",
"attachments": [],
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"reference": null
},
{
"id": 1039933996395675600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:25",
"content": "nope",
"attachments": [],
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"reference": null
},
{
"id": 1039934002179620900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:27",
"content": "doesn’t work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1039934007284092900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:28",
"content": "usually",
"attachments": [],
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"reference": null
},
{
"id": 1039934018709369000,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:06:31",
"content": "yeah ik",
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"id": 1039934033234251800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:34",
"content": "for school allowed calculators",
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},
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:44",
"content": "u will only have common log and natural log",
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"id": 1039934110744977400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:53",
"content": "if u want to calculate smth like log base 2",
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},
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"id": 1039934131783618600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:58",
"content": "u need to do it manually",
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},
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"id": 1039934137517232300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:06:59",
"content": "like this",
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},
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"id": 1039934195541217300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:07:13",
"content": "$\\frac{log32}{log2}$",
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},
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"id": 1039934209806057500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/09/2022 11:07:16",
"content": "**Springsskateboard**",
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"id": 1039934316085518500,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:07:42",
"content": "😮",
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},
{
"id": 1039934326038597800,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:07:44",
"content": "it works",
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},
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"id": 1039934354585026600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:07:51",
"content": "nice",
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},
{
"id": 1039934362935902200,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:07:53",
"content": "🎉",
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},
{
"id": 1039934372108841000,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:07:55",
"content": "thx",
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},
{
"id": 1039934378215747600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:07:56",
"content": "that’s basically change of base stuff",
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},
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"id": 1039934381218877400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:07:57",
"content": "np",
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},
{
"id": 1039934498470625400,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:08:25",
"content": "!close",
"attachments": [],
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"reference": null
},
{
"id": 1039934519207268500,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:08:30",
"content": "!exit",
"attachments": [],
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},
{
"id": 1039934544264048800,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:08:36",
"content": "!done",
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},
{
"id": 1039934588958560300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:08:47",
"content": ".close",
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},
{
"id": 1039934601558241300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:08:50",
"content": "^",
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},
{
"id": 1039934646609268700,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:09:00",
"content": "thx one again 😅",
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},
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"id": 1039934657522835500,
"author_id": 846267205758746600,
"author_name": "Muta",
"timestamp": "11/09/2022 11:09:03",
"content": ".close",
"attachments": [],
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},
{
"id": 1039934659615785100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/09/2022 11:09:03",
"content": "np HAHA",
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"id": 1039934660236542100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 11:09:04",
"content": "Channel closed",
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}
] | help-9 | 3b32c566eefb4086957e0548211ea591 |
201,495 | [
{
"id": 1039935702739194000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 11:13:12",
"content": "Available help channel!",
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},
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"id": 1039935989088522200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:14:20",
"content": "i have 0 idea about hyperbolic functions, but what exactly is something that relates them?",
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"timestamp": "11/09/2022 11:14:21",
"content": "Pinned a message.",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:14:39",
"content": "Do they also fall under the cos^2x + sin^2x = 1 idea",
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},
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"id": 1039936655576010800,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/09/2022 11:16:59",
"content": "You can either go back to the definitions of each or just look up a hyperbolic trig identity: cos^2(x) - sinh^2(x) = 1.",
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"timestamp": "11/09/2022 11:17:40",
"content": "I surprisingly never encountered them in my life or during my school years",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:17:52",
"content": "what would be good resources to learn on them?",
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"id": 1039937044614479900,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/09/2022 11:18:32",
"content": "I've found that a few solutions to differential equations can be neatly written using them.",
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"id": 1039937079225888900,
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"timestamp": "11/09/2022 11:18:40",
"content": "Some resources: https://www.youtube.com/watch?v=yMzb-hvjZW4&list=PLg2tfDG3Ww4toiqjqZqsXpUlgtLxq2C1V&ab_channel=TLMaths",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:18:47",
"content": "Oh my level is more or less calculus 2 haha",
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},
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"id": 1039937198239256600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "11/09/2022 11:19:09",
"content": "I've not watched this particular playlist but everything this channel makes is good quality.",
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},
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"id": 1039937287603093500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:19:30",
"content": "thank you! will give it a shot",
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},
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"id": 1039937317068095500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:19:37",
"content": "will keep this channel open until a bit",
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},
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"id": 1039938353602248800,
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"timestamp": "11/09/2022 11:23:44",
"content": "Ok. Might be worth 2x speed watching them.",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:24:29",
"content": "okay so finished watching like the first video",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:24:55",
"content": "considering what he said, can you parameterize a function such as 1/x in terms of cosh and sinh?",
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"id": 1039938804708032500,
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"author_name": "stabulo",
"timestamp": "11/09/2022 11:25:32",
"content": "I'm not sure how it would fit that.",
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"id": 1039938863411503200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:25:46",
"content": "wouldn't 1/x be considered a hyperbola",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "11/09/2022 11:25:48",
"content": "cuemath had good stuff when i was reading up on them in my free time",
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"timestamp": "11/09/2022 11:26:05",
"content": "cuemath 🙏🏻",
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"timestamp": "11/09/2022 11:26:29",
"content": "Oh. That so called Osborne's rule in video 5 sounds useful to know about.",
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"timestamp": "11/09/2022 11:28:38",
"content": "Oh yeah. y = 1/x is a hyperbola so it should be possible.",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:29:09",
"content": "kind of curious as the derivation of a formula like the cosh(x) = $\\frac{e^{x}+e^{-x}}{2}$ is derived",
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"timestamp": "11/09/2022 11:29:15",
"content": "thats actually very interesting",
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"author_name": "TeXit",
"timestamp": "11/09/2022 11:29:26",
"content": "**♡LexQa♡**",
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"timestamp": "11/09/2022 11:29:38",
"content": "It's the definition of them as far as I know.",
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"timestamp": "11/09/2022 11:29:52",
"content": "Okay let me rephrase",
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"id": 1039939914533441500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:29:56",
"content": "how did people figure that out",
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"id": 1039939964777009200,
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"timestamp": "11/09/2022 11:30:08",
"content": "seems quite specific i suppose",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:30:40",
"content": "did they take a few hyperbolas' points and went like \"oh yeah we can represent that in terms of the exponential function\"?",
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"timestamp": "11/09/2022 11:32:05",
"content": "I think over time they probably found the form that makes manipulation so easy after just finding something that satisfies the equation of a hyperbola.",
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"timestamp": "11/09/2022 11:33:09",
"content": "also kind of curious what would be the derivative of those hyperbolic functions, and if you can do normal curve sketching calculus-based procedures on them",
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"timestamp": "11/09/2022 11:33:14",
"content": "might be a fun exercise",
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"timestamp": "11/09/2022 11:33:25",
"content": "Ah i see, i suppose that makes sense",
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"timestamp": "11/09/2022 11:33:44",
"content": "I'm not sure how to represent y = 1/x using hyperbolic trig though.",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:34:10",
"content": "the moment he brought up the fact that they are just points on hyperbolas i was like",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:34:22",
"content": "\"Oh what about the function 1/x then?\"",
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"timestamp": "11/09/2022 11:36:55",
"content": "Might not be able to use it unless you can put it in the form x^2/a^2 - y^2/b^2 = 1.",
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"timestamp": "11/09/2022 11:37:17",
"content": "also interesting how in hyperbolic form their graphs appear to be more aligned with other odd and even powered functions",
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"timestamp": "11/09/2022 11:37:42",
"content": "well that's still spoilers i haven't gotten to that yet haha",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:38:06",
"content": "compared with their circular counterparts",
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"author_name": "stabulo",
"timestamp": "11/09/2022 11:38:07",
"content": "That was from Mathworld. 🙂",
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"timestamp": "11/09/2022 11:39:18",
"content": "okay anyways",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:39:30",
"content": "i think i have watched enough to go back to my original question",
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"timestamp": "11/09/2022 11:39:31",
"content": "good watch",
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"timestamp": "11/09/2022 11:40:28",
"content": "If you made it to video 5. Converting the standard identity sin^2(x) + cos^2(x) = 1 into the hyperbolic trig identity, using Osborne's rule, cosh^2(x) - sinh^2(x) = 1.",
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"timestamp": "11/09/2022 11:40:59",
"content": "x^2 - y^2 = 1 is the original curve. From video 1, it must be the right half of it though.",
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"content": "hmm",
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"timestamp": "11/09/2022 11:41:55",
"content": "i have gotten -x^2-y^2 = 1 for my parametric equation, though",
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"timestamp": "11/09/2022 11:42:09",
"content": "but it does say \\pm",
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"timestamp": "11/09/2022 11:42:13",
"content": "which is interesting",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:42:25",
"content": "is there some radical somewhere?",
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"timestamp": "11/09/2022 11:42:39",
"content": "x = -cosh(x) gives us x^2 = cosh^2(x).",
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"timestamp": "11/09/2022 11:42:42",
"content": "isnt it just",
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"timestamp": "11/09/2022 11:42:56",
"content": "oop yes, kind of forgot exponents there",
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"timestamp": "11/09/2022 11:43:34",
"content": "Oh. The x = - cosh(t) gives us it being on the left side due to cosh(x) > 0.",
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"timestamp": "11/09/2022 11:44:08",
"content": "so simply just $y=\\pm\\sqrt{x^{2}-1}$",
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"timestamp": "11/09/2022 11:44:20",
"content": "**♡LexQa♡**",
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"timestamp": "11/09/2022 11:44:32",
"content": "i suppose?",
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"content": "haha i was about to ask about that",
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"timestamp": "11/09/2022 11:45:31",
"content": "but yeah that does make sense",
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"timestamp": "11/09/2022 11:45:40",
"content": "cosh always negative hmm",
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"timestamp": "11/09/2022 11:46:03",
"content": "cosh(x) is always positive so -cosh(x) is always negative.",
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"timestamp": "11/09/2022 11:46:51",
"content": "also i am noticing how cosh(x) is a very odd...parabola",
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"timestamp": "11/09/2022 11:46:56",
"content": "if it is a parabola at all",
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"timestamp": "11/09/2022 11:47:10",
"content": "it is very flat near its vertex seeminglty",
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"timestamp": "11/09/2022 11:48:35",
"content": "same with sinh(x) in a way",
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"timestamp": "11/09/2022 11:48:53",
"content": "i wonder if there is a name for the common curve odd functions usually have",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:49:05",
"content": "that half DNA looking thing haha",
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"author_name": "stabulo",
"timestamp": "11/09/2022 11:52:10",
"content": "Remember what he said about it being the shape of a slack chain being held at two ends? He called it a catenary.",
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"timestamp": "11/09/2022 11:52:56",
"content": "oh i was fast forwarding catching the main ideas",
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"timestamp": "11/09/2022 11:53:02",
"content": "a catenary...interesting",
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"timestamp": "11/09/2022 11:53:03",
"content": "TIL",
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"author_name": "stabulo",
"timestamp": "11/09/2022 11:53:41",
"content": "It's mentioned like 500 pages into my D.E. book but I stopped at like page 430. I'm aware of what it is but not the particular details.",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:54:21",
"content": "also where are those functions usually used actually?",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:54:38",
"content": "i have always seen them on my calculator since primary school, but never once since then have they ever been",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:54:42",
"content": "touched upon",
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"timestamp": "11/09/2022 11:56:27",
"content": "From my knowledge, the shape of a catenary is very useful in engineering as it gives the most strength at the vertex of them so roofs are normally upside down catenarys.",
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"timestamp": "11/09/2022 11:57:46",
"content": "oh wowzers",
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"timestamp": "11/09/2022 11:57:49",
"content": "very cool stuff",
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"author_name": "♡A(lex)♡",
"timestamp": "11/09/2022 11:58:04",
"content": "anyways",
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"timestamp": "11/09/2022 11:58:19",
"content": "thank you for ur help, my knowledge has increased further 🙏🏻",
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"timestamp": "11/09/2022 11:58:21",
"content": ".close",
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"timestamp": "11/09/2022 11:58:22",
"content": "Channel closed",
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] | help-9 | 026b7e5c96ae417d8039fae975aa590e |
201,496 | [
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"content": "true?**",
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"timestamp": "10/22/2022 16:29:26",
"content": "i'm thinking that the reason why I'm getting false is because I am doing the inequalities wrong for ~Q(x,y). I turned it into: x - 2 is greater and equal to y",
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"content": "@song Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "10/22/2022 17:14:42",
"content": "@song Has your question been resolved?",
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] | help-9 | 03200d3b513f424e8137a356f61018cd |
201,497 | [
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"content": "need help understanding this",
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"timestamp": "11/09/2022 12:20:49",
"content": "should be 100%",
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"timestamp": "11/09/2022 12:21:30",
"content": "oh i see",
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"timestamp": "11/09/2022 12:21:51",
"content": "100%?",
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"timestamp": "11/09/2022 12:22:35",
"content": "i mean if you assume that \"a football player\" can be one of the guys that play both sports",
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"timestamp": "11/09/2022 12:23:11",
"content": "oh, maybe there are athletes who play neither?",
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"timestamp": "11/09/2022 12:23:19",
"content": "right but 94% is football and basketball",
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"timestamp": "11/09/2022 12:23:20",
"content": "certainly confused myself",
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"timestamp": "11/09/2022 12:23:22",
"content": "total",
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"content": "first of all answer is not 100%",
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"timestamp": "11/09/2022 12:24:02",
"content": "yeah ok, there are athletes that play neither",
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"timestamp": "11/09/2022 12:24:24",
"content": "and that's what you'd like to find, how many of those",
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"content": "its asking either not neither",
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"timestamp": "11/09/2022 12:25:01",
"content": "if 1 athlete is picked whats the prob that its either football or basketball",
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"timestamp": "11/09/2022 12:25:03",
"content": "it's the same idea",
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"timestamp": "11/09/2022 12:25:10",
"content": "they are complements",
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"timestamp": "11/09/2022 12:25:17",
"content": "yes",
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"timestamp": "11/09/2022 12:25:43",
"content": "you have to subtract the common part because they are added twice",
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"author_name": "frownyfrog",
"timestamp": "11/09/2022 12:25:43",
"content": "basically you subtract 24 from 94",
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"timestamp": "11/09/2022 12:25:52",
"content": "exactly",
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"timestamp": "11/09/2022 12:26:16",
"content": "you'd learn that 70% play either and 30% play neither",
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"timestamp": "11/09/2022 12:26:19",
"content": "the full picture",
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"timestamp": "11/09/2022 12:26:56",
"content": "so the answer is 70%",
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"content": "yes",
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"timestamp": "11/09/2022 12:27:07",
"content": "OHH",
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"timestamp": "11/09/2022 12:27:09",
"content": "common part",
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"timestamp": "11/09/2022 12:27:11",
"content": "gotcha",
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"timestamp": "11/09/2022 12:27:14",
"content": "thanks",
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"author_name": "reapsyy",
"timestamp": "11/09/2022 12:27:39",
"content": "i believe its 46 percent",
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"timestamp": "11/09/2022 12:27:48",
"content": "70% worked",
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"author_name": "reapsyy",
"timestamp": "11/09/2022 12:27:49",
"content": "using the concept of sets anyways i just drew a venn diagram",
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"timestamp": "11/09/2022 12:27:55",
"content": "ah alr works then",
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"author_name": "reapsyy",
"timestamp": "11/09/2022 12:28:01",
"content": "not sure if the set theory aplies",
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"timestamp": "11/09/2022 12:28:03",
"content": "applies",
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"timestamp": "11/09/2022 12:28:26",
"content": "ill try it lol",
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"timestamp": "11/09/2022 12:28:30",
"content": "total - common",
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"timestamp": "11/09/2022 12:28:33",
"content": "thanks!",
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] | help-9 | 360b87159fac4cae85f8aa8ae8dd3fc6 |
201,498 | [
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"timestamp": "11/09/2022 12:29:06",
"content": "mb u can use set theory i read the question wrong, it would be 46+24 which would come upto 70",
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"timestamp": "11/09/2022 12:48:25",
"content": "the total is 94%, both is 24% so 94-24=70",
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"content": "oops did i open it",
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] | help-9 | e9151d7d3877462bad0012dd70cf0d4f |
201,499 | [
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"author_name": "Deleted User",
"timestamp": "11/09/2022 13:01:57",
"content": "Hi, a quick question if i take the function $\\frac{1}{x}$ with the restriction [-4,4] in the domain, i can't apply the Weirstrass theorem because the Image of the function is $\\overline{\\mathbb {R}}$?",
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"author_name": "TeXit",
"timestamp": "11/09/2022 13:03:02",
"content": "**FriedrichDN**",
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"content": "@Deleted User Has your question been resolved?",
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"author_name": "Benjamin",
"timestamp": "11/09/2022 13:17:27",
"content": "its not defined on [-4,4]",
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"id": 1039967008311230500,
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"author_name": "Benjamin",
"timestamp": "11/09/2022 13:17:36",
"content": "its not defined at 0",
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"id": 1039967035435782300,
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"author_name": "Benjamin",
"timestamp": "11/09/2022 13:17:42",
"content": "so you cant apply the theorem",
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"content": "@Deleted User Has your question been resolved?",
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] | help-9 | de3aa6c739ba4404bdc211dce7b5f324 |
201,500 | [
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{
"id": 1039983008108789800,
"author_id": 148412946924568580,
"author_name": "cockandballs",
"timestamp": "11/09/2022 14:21:11",
"content": "Hi guys need some help with figuring out the constants A and B in this equation :) \n\nz=1-2i\n\n z^2+az+b=0",
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"id": 1039983010155598000,
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"author_name": "cockandballs",
"timestamp": "11/09/2022 14:21:37",
"content": "I don't really know how to proceed further than just replacing the Z with (1-2i)",
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"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 14:21:48",
"content": "a and b are real?",
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"id": 1039983177017606100,
"author_id": 148412946924568580,
"author_name": "cockandballs",
"timestamp": "11/09/2022 14:21:51",
"content": "Yes",
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"id": 1039983216213381100,
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"author_name": "Reacquired",
"timestamp": "11/09/2022 14:22:00",
"content": "umm",
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"id": 1039983275910897800,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 14:22:14",
"content": "you can isolate the imaginary term and square on both sides",
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"id": 1039983315115061200,
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"author_name": "Reacquired",
"timestamp": "11/09/2022 14:22:24",
"content": "z-1=-2i",
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"id": 1039983556765683700,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 14:23:21",
"content": "or u can subsitute z in the quadratic and make the real and imaginary parts of the resulting expression 0",
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"id": 1039983664869687300,
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"timestamp": "11/09/2022 14:23:47",
"content": "Are you with me?",
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"id": 1039983695345496000,
"author_id": 148412946924568580,
"author_name": "cockandballs",
"timestamp": "11/09/2022 14:23:54",
"content": "ive been studying for like 5 hours",
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"id": 1039983709245423700,
"author_id": 148412946924568580,
"author_name": "cockandballs",
"timestamp": "11/09/2022 14:23:58",
"content": "trying to comprehend",
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},
{
"id": 1039983989819191300,
"author_id": 148412946924568580,
"author_name": "cockandballs",
"timestamp": "11/09/2022 14:25:05",
"content": "Im feeling really dumb ngl",
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"id": 1039983996739784800,
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"author_name": "cockandballs",
"timestamp": "11/09/2022 14:25:06",
"content": "i am not with u",
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"id": 1039987727606751400,
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"timestamp": "11/09/2022 14:39:56",
"content": "@Helpers <3",
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"timestamp": "11/09/2022 14:54:56",
"content": "@cockandballs Has your question been resolved?",
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"timestamp": "11/09/2022 15:28:18",
"content": "@cockandballs Has your question been resolved?",
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] | help-9 | fc6dc009aaff416191f75ab2159d0382 |
201,501 | [
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{
"id": 1040007750211620900,
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"author_name": "Tony!",
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"content": "where did this come from?",
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"timestamp": "11/09/2022 16:00:13",
"content": "1 = cos^2theta + sin^2theta",
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"timestamp": "11/09/2022 16:02:03",
"content": "you just blew my mind, never would of thought that the one would stand for anything apart from it being a tiny part of a larger formula",
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"timestamp": "11/09/2022 16:05:10",
"content": "Hey can someone help me in help-18?",
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"content": "@Tony! Has your question been resolved?",
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] | help-9 | a0439ef322c04d20953d640468132de0 |
201,502 | [
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"author_name": "mosu",
"timestamp": "11/09/2022 16:18:27",
"content": "How do I make an inverse function when the function has parameters in it?",
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"content": "I have to make an inverse function out of this. I know the solution which is",
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"timestamp": "11/09/2022 16:18:53",
"content": "THIS",
"attachments": [
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"id": 1040012674110599300,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:19:04",
"content": "but I have no idea how to proceed when parameters appear",
"attachments": [],
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},
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"id": 1040012737733984300,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:19:19",
"content": "Just do it the way if there were no parameters",
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"id": 1040012792134111200,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:19:32",
"content": "Assume a as a constant",
"attachments": [],
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},
{
"id": 1040012807409774700,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:19:35",
"content": "As if it were 3",
"attachments": [],
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"reference": null
},
{
"id": 1040012818524672100,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:19:38",
"content": "or anything",
"attachments": [],
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},
{
"id": 1040012856000774100,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:19:47",
"content": "so I can ignore a?",
"attachments": [],
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},
{
"id": 1040012905527128000,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:19:59",
"content": "or well set it to 1",
"attachments": [],
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},
{
"id": 1040012931099803800,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:20:05",
"content": "dont set it to 1",
"attachments": [],
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},
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"id": 1040012980080889900,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:20:16",
"content": "just assume that it is another constant number",
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},
{
"id": 1040013009562636300,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:20:23",
"content": "like 1,2,3,4,..1000,a",
"attachments": [],
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},
{
"id": 1040013094786707600,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:20:44",
"content": "I tried to do that but then I couldnt solve for x",
"attachments": [],
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},
{
"id": 1040013154991734900,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:20:58",
"content": "Whats the inverse of x-a",
"attachments": [],
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},
{
"id": 1040013249661378700,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:21:21",
"content": "y=x-a inversed is x=y+a",
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},
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"id": 1040013331504828500,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:21:40",
"content": "Your question can be solved in the same way",
"attachments": [],
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},
{
"id": 1040013370608328800,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:21:50",
"content": "Solve for x in terms of y",
"attachments": [],
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},
{
"id": 1040013504490508300,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:22:21",
"content": "Um.. what is the inverse of y=ax+a",
"attachments": [],
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},
{
"id": 1040013648678109200,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:22:56",
"content": "y= ax+a is y=a(x+1) which is y/a = x+1 which is (y/a) -1 = x",
"attachments": [],
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},
{
"id": 1040013688624660600,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:23:05",
"content": "wait",
"attachments": [],
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},
{
"id": 1040013751539220500,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:23:20",
"content": "*waiting*",
"attachments": [],
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"reference": null
},
{
"id": 1040013834611593300,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:23:40",
"content": "no?",
"attachments": [],
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},
{
"id": 1040013867448799400,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:23:48",
"content": "yes",
"attachments": [],
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},
{
"id": 1040013971173953700,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:24:13",
"content": "and for y=(ax+a)/x",
"attachments": [],
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},
{
"id": 1040013998386577400,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:24:19",
"content": "inverse?",
"attachments": [],
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},
{
"id": 1040014154867691600,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:24:57",
"content": "gimme 1 minute 😄",
"attachments": [],
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"reference": null
},
{
"id": 1040014228981035000,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:25:14",
"content": "tag me when u r done",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040014757937295500,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:27:20",
"content": "@Reacquired sqrt(y/a) - 1 = x?",
"attachments": [],
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},
{
"id": 1040015995827409000,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:32:15",
"content": "nvm x = (-a/(a-y)) = x ?",
"attachments": [],
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},
{
"id": 1040017564715200500,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:38:30",
"content": "right",
"attachments": [],
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},
{
"id": 1040017638971166800,
"author_id": 972201336936497200,
"author_name": "Reacquired",
"timestamp": "11/09/2022 16:38:47",
"content": "look if u can solve ur original question now",
"attachments": [],
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},
{
"id": 1040017667786027000,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:38:54",
"content": "I am trying rn",
"attachments": [],
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},
{
"id": 1040018955735142400,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:44:01",
"content": "@Reacquired DAMN I got it but I get this:",
"attachments": [],
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{
"id": 1040018977281290200,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:44:06",
"content": "",
"attachments": [
{
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{
"id": 1040019004150009900,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:44:13",
"content": "why did the solution swap the y out with x?",
"attachments": [],
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"reference": null
},
{
"id": 1040019419365118000,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 16:45:52",
"content": "do I always solve after x and after I did that I swap out y with x or respectively x with y on the other side?",
"attachments": [],
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},
{
"id": 1040023195404738700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 17:00:52",
"content": "@mosu Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 207615438329217020,
"name": "mosu",
"discriminator": "1195",
"nickname": "mosu",
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{
"id": 1040023273070657700,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 17:01:10",
"content": "this last question",
"attachments": [],
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"reference": null
},
{
"id": 1040023280075161600,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 17:01:12",
"content": "ahhhh",
"attachments": [],
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},
{
"id": 1040024338864279600,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 17:05:25",
"content": "@Reacquired u there?",
"attachments": [],
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{
"id": 1040026592786792400,
"author_id": 207615438329217020,
"author_name": "mosu",
"timestamp": "11/09/2022 17:14:22",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1040034143385432200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 17:44:22",
"content": "@mosu Has your question been resolved?",
"attachments": [],
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{
"id": 207615438329217020,
"name": "mosu",
"discriminator": "1195",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 17:44:30",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 32102cb8e3e34ea8837db487f57165f5 |
201,503 | [
{
"id": 1040034426874245200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 17:45:30",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1040035101477712000,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 17:48:11",
"content": "How do you graph O(logn) ?\n\nI'm not really sure about logarithms. Is logn log(n) or log*n ?\n\nHow do you calculate it?",
"attachments": [],
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"reference": null
},
{
"id": 1040035103524540400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 17:48:11",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1040035871249932300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:51:14",
"content": ",w plot log(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040035880552910800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/09/2022 17:51:16",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1040035949205262500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:51:33",
"content": "`log * n` is nonsense",
"attachments": [],
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"reference": null
},
{
"id": 1040036003731210200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:51:46",
"content": "log is a function. a function requires inputs to make sense",
"attachments": [],
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},
{
"id": 1040036131187720300,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 17:52:16",
"content": "Alright that makes sense, thank you",
"attachments": [],
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},
{
"id": 1040036155216891900,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 17:52:22",
"content": "what about nlogn",
"attachments": [],
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},
{
"id": 1040036234644422800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:52:41",
"content": "what do you think?",
"attachments": [],
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"id": 1040036262926618600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:52:48",
"content": "try putting in a number for n into a calculator",
"attachments": [],
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},
{
"id": 1040036573401595900,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 17:54:02",
"content": "is this the correct calculation?\n5*log(5) = 3.49",
"attachments": [],
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},
{
"id": 1040036718067339300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:54:36",
"content": ",calc 5 log(5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040036719602446500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/09/2022 17:54:36",
"content": "Result:\n```\n8.0471895621705\n```",
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},
{
"id": 1040036793220862000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:54:54",
"content": "depends what base your class uses for `log`",
"attachments": [],
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},
{
"id": 1040036839970570400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:55:05",
"content": "but yes that's the right idea",
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},
{
"id": 1040037033147650200,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 17:55:51",
"content": "\"The logarithm of a number is its index to the given base number\"\n\nWhat does this mean?",
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},
{
"id": 1040038026673410000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/09/2022 17:59:48",
"content": "https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-intro/v/logarithms",
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},
{
"id": 1040038108198080500,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 18:00:07",
"content": "Okay thank you",
"attachments": [],
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"reference": null
},
{
"id": 1040038611984326800,
"author_id": 375550821816991740,
"author_name": "PurpleSm0g",
"timestamp": "11/09/2022 18:02:08",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1040038614932922400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:02:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 602bc333f6b04578b712ad25779e8957 |
201,504 | [
{
"id": 1040038867220299900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:03:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040039555597865100,
"author_id": 876830320773697700,
"author_name": "98 Church Mice",
"timestamp": "11/09/2022 18:05:53",
"content": "Hi can someone please help me with this",
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:05:53",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1040039632764682200,
"author_id": 876830320773697700,
"author_name": "98 Church Mice",
"timestamp": "11/09/2022 18:06:11",
"content": "Since it’s asking for an eigenvector I got 2 solutions and they both don’t seem to work",
"attachments": [],
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"reference": null
},
{
"id": 1040039660866515000,
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"timestamp": "11/09/2022 18:06:18",
"content": "",
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"author_name": "98 Church Mice",
"timestamp": "11/09/2022 18:08:40",
"content": "Here is a another pic that isn’t rotated",
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"id": 1040044004181561500,
"author_id": 876830320773697700,
"author_name": "98 Church Mice",
"timestamp": "11/09/2022 18:23:33",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040044007063031800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:23:34",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 6b4479f46b7746cb82159b40a80af3d3 |
201,505 | [
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:36:40",
"content": "Available help channel!",
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"author_id": 606387670268117000,
"author_name": "Savatar2336",
"timestamp": "11/09/2022 18:40:15",
"content": "Hi I’m having trouble figuring out how to graph quadratic functions",
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"timestamp": "11/09/2022 18:40:15",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2022 18:55:15",
"content": "@Savatar2336 Has your question been resolved?",
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"timestamp": "11/09/2022 18:55:38",
"content": "No",
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"timestamp": "11/09/2022 19:25:38",
"content": "@Savatar2336 Has your question been resolved?",
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"id": 1040060619157667800,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:29:34",
"content": "find points at a reasonable distance from each other and follow a line smoothly through all the points",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:30:26",
"content": "so you have that $f(x)=y$ will be point $(x,y)$, so try out various different values of $x$ and see what values of $y$ you get and put them down in a table",
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"timestamp": "11/09/2022 19:30:29",
"content": "**Duh Hello**",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 19:32:46",
"content": "So for this how could I get the points if the don’t line up with the other numbers",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 19:34:02",
"content": "Sorry if my wording not the best I don’t really know how to put this",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:36:56",
"content": "here i would for example start with $x=0$ then you check what $f(0)$ is, so $$f(0)=2(0)^2-3(0)+1=1$$which will then correspond to the point (0,1) and i would mark a dot there. then you go and check $x=-1$ and $x=1$ by again plugging them into the equation for $f$ and again putting down the point, you do this until your function is no longer in the graph as there is no point in checking any further, so you can check -2 and 2, then -3 and 3 if they are still within the graph",
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"timestamp": "11/09/2022 19:37:01",
"content": "**Duh Hello**",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:37:36",
"content": "so what is $f(-1)$ and $f(1)$?",
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"timestamp": "11/09/2022 19:37:39",
"content": "**Duh Hello**",
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"timestamp": "11/09/2022 19:40:26",
"content": "That would be 6 and 0 respectively",
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"timestamp": "11/09/2022 19:40:36",
"content": "which would be the points?",
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"timestamp": "11/09/2022 19:42:05",
"content": "-1,6 and 1,0",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 19:42:19",
"content": "How would I find the vortex",
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"timestamp": "11/09/2022 19:42:31",
"content": "Vertex",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:43:16",
"content": "you dont need to, the points will show you how to draw it",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 19:44:20",
"content": "The questions ask for the vertex",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:44:40",
"content": "after you have graphed it then it will be easier to see",
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"timestamp": "11/09/2022 19:44:46",
"content": "but you should continue finding points",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:44:55",
"content": "what are $f(-2)$ and $f(2)$?",
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"timestamp": "11/09/2022 19:44:58",
"content": "**Duh Hello**",
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"timestamp": "11/09/2022 19:46:02",
"content": "I can graph it fine but the vertex isn’t a whole number. How would I find it?",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:46:23",
"content": "is this your graph?",
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"timestamp": "11/09/2022 19:46:46",
"content": "because that is not graphed fine unfortunately",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:48:39",
"content": "not sure if you know derivatives though, if you know that then there is a rather easy way to find the vertex. if you have another method then i would need a refresher myself",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 19:51:29",
"content": "I’m finding it through factoring trinomials and leading coefficients",
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"timestamp": "11/09/2022 19:52:40",
"content": "ah from completing the square, so what have you gotten to so far?",
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"timestamp": "11/09/2022 19:56:22",
"content": "So because the two x values are 1 and 2 the x coordinate will be 1.5 and when you plug that in for x you y is 1 but that can’t be correct",
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"timestamp": "11/09/2022 19:57:03",
"content": "i have no idea what you are trying to say",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 19:57:19",
"content": "why are u putting x at 1.5?",
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"timestamp": "11/09/2022 19:59:08",
"content": "if you complete the square you should get $$f(x)=2\\left(x-\\frac{3}{4}\\right)^2-\\frac{1}{8}$$",
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"timestamp": "11/09/2022 19:59:11",
"content": "**Duh Hello**",
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"timestamp": "11/09/2022 19:59:24",
"content": "which tells you where the vertex is",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 20:00:51",
"content": "Because when you solve by factoring trinomials you get (x-1) (x-2)",
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"timestamp": "11/09/2022 20:02:03",
"content": "unless i am misunderstanding what a trinomial is then this is incorrect",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 20:02:19",
"content": "and i also dont see why this is relevant, you are trying to find the vertex so you want to get it on vertex form",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 20:02:56",
"content": "is $$x^2-6x+9$$ not a trinomial?",
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"timestamp": "11/09/2022 20:02:59",
"content": "**Duh Hello**",
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"author_name": "Savatar2336",
"timestamp": "11/09/2022 20:03:12",
"content": "I’m sorry I’m really confused right now",
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"timestamp": "11/09/2022 20:03:23",
"content": "Yes that is",
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"timestamp": "11/09/2022 20:03:41",
"content": "but $$x^2-6x+9=(x-3)^2$$",
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"timestamp": "11/09/2022 20:03:44",
"content": "**Duh Hello**",
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"timestamp": "11/09/2022 20:04:17",
"content": "either way you arent trying to find where the quadratic is zero, you are trying to find its vertex",
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"timestamp": "11/09/2022 20:04:21",
"content": "That’s not the equation though",
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"timestamp": "11/09/2022 20:04:23",
"content": "hence you need to get it on its vertex form",
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"timestamp": "11/09/2022 20:04:56",
"content": "Where did you get that equation?",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 20:05:09",
"content": "i just solved it",
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"timestamp": "11/09/2022 20:05:56",
"content": "this is an example, you need to complete the square",
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"timestamp": "11/09/2022 20:06:06",
"content": "Where did this equation come from?",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 20:06:31",
"content": "i just made a counter example to what you were saying about trinomials with that one",
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"author_name": "Duh Hello",
"timestamp": "11/09/2022 20:06:36",
"content": "its unrelated to your problem",
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"timestamp": "11/09/2022 20:08:00",
"content": "either way you may want to watch a video about vertex form if you dont know how to get to it",
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"timestamp": "11/09/2022 20:08:41",
"content": "Alright thanks",
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"timestamp": "11/09/2022 20:09:10",
"content": "np",
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"timestamp": "11/09/2022 20:09:50",
"content": "found one that seems alright https://www.youtube.com/watch?v=pwITxyUghV0",
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"timestamp": "11/09/2022 20:13:53",
"content": "So I just need to factor out the 2?",
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"timestamp": "11/09/2022 21:13:53",
"content": "@Savatar2336 Has your question been resolved?",
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] | help-9 | 25f7af2751b6407ca15b1d9c521cbfb3 |
201,506 | [
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"content": "Available help channel!",
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"id": 1040089415613173800,
"author_id": 198872115250855940,
"author_name": "Amazingman02",
"timestamp": "11/09/2022 21:24:00",
"content": "lim x-0+ (1/x)^sinx",
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"content": "can i have some help please",
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"content": "i cant figure this out",
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"content": "@Amazingman02 Has your question been resolved?",
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"content": "@Amazingman02 Has your question been resolved?",
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] | help-9 | ce0a5e1673a6459899226ed8ce913ddf |
201,507 | [
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"content": "Hi",
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"timestamp": "10/22/2022 17:54:58",
"content": "Prove that if x is a number and A and B are vectors, then \n\n$(xA) \\cdot B = x(A \\cdot B)$",
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"timestamp": "10/22/2022 17:55:44",
"content": "**ged**",
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"timestamp": "10/22/2022 17:58:10",
"content": "this is pretty straight forward. use the definition for dot product on both sides where you treat both vectors as being n dimensional, follow the orders of each and see if you get to the same expression",
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"content": "So my proof is\n\n$A = (a_1, \\dots, a_n)$ and $B = (b_1, \\dots, b_n)$ then\n\n$x(a_1, \\cdot , a_n) \\cdot (b_1, \\cdot , b_n)$\n\n$= (xa_1 + \\dots+ xa_n) \\cdot (b_1+ \\dots+ b_n)$\n$=(xa_1b_1 + \\dots + xa_nb_n)$\n$=x(a_1b_1 + \\dots+ a_nb_n)$",
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"timestamp": "10/22/2022 18:02:23",
"content": "**ged**",
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"timestamp": "10/22/2022 18:03:08",
"content": "It's not",
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"timestamp": "10/22/2022 18:03:54",
"content": "so here you have done the left hand side",
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"timestamp": "10/22/2022 18:04:01",
"content": "now do the right hand side",
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"timestamp": "10/22/2022 18:18:08",
"content": "@deg Has your question been resolved?",
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"timestamp": "10/22/2022 18:20:15",
"content": "what",
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"author_name": "deg",
"timestamp": "10/22/2022 18:20:39",
"content": "$=x(a_1b_1 + \\dots+ a_nb_n)$ is the right hand side",
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"timestamp": "10/22/2022 18:20:41",
"content": "**ged**",
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"timestamp": "10/22/2022 18:21:54",
"content": "$= (xa_1 + \\dots+ xa_n) \\cdot (b_1+ \\dots+ b_n) = x(a_1b_1 + \\dots+ a_nb_n)$ \\\\\n\n$(xA) \\cdot B = x(A \\cdot B)$",
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"timestamp": "10/22/2022 18:21:56",
"content": "**ged**",
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"author_name": "deg",
"timestamp": "10/22/2022 18:22:21",
"content": "Or did you want me to write",
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"timestamp": "10/22/2022 18:22:47",
"content": "the 3rd line of your proof is doing the left hand side",
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"timestamp": "10/22/2022 18:23:07",
"content": "$x((a_1, \\dots, a_n) * (b_1, \\dots, b_n))$",
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"timestamp": "10/22/2022 18:23:15",
"content": "**ged**",
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"timestamp": "10/22/2022 18:23:16",
"content": "but yeah you just need to show that those two are the same",
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"timestamp": "10/22/2022 18:23:36",
"content": "either way its a very trivial proof so i guess you could say u have done it already. just sort of hard to see",
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"author_name": "deg",
"timestamp": "10/22/2022 18:23:39",
"content": "But this does show they are the same?",
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"author_name": "Duh Hello",
"timestamp": "10/22/2022 18:24:01",
"content": "lemme write up a proof myself and you can maybe see how i would go about it",
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"timestamp": "10/22/2022 18:24:11",
"content": "thanks",
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"timestamp": "10/22/2022 18:26:41",
"content": "So to prove that $(xA)\\cdot B=x(A\\cdot B)$ we define $$A=\\begin{bmatrix}a_1\\\\a_2\\\\\\vdots\\\\a_n\\end{bmatrix}$$ and $$B=\\begin{bmatrix}b_1\\\\b_2\\\\\\vdots\\\\b_n\\end{bmatrix}$$We first begin with LHS:$$(xA)\\cdot B=\\begin{bmatrix}xa_1\\\\xa_2\\\\\\vdots\\\\xa_n \\end{bmatrix}\\cdot \\begin{bmatrix}b_1\\\\b_2\\\\\\vdots\\\\b_n \\end{bmatrix}=xa_1b_1+xa_2b_2+...+xa_nb_n=x\\sum_{m=1}^n a_mb_m\\\\$$Now to check RHS:$$ x(A\\cdot B)=x\\begin{bmatrix}a_1\\\\a_2\\\\\\vdots\\\\a_n \\end{bmatrix}\\cdot \\begin{bmatrix}b_1\\\\b_2\\\\\\vdots\\\\b_n \\end{bmatrix}=x(a_1b_1+a_2b_2+...+a_nb_n)=x\\sum_{m=1}^n a_mb_m=(xA)\\cdot B$$Hence we have $(xA)\\cdot B=x(A\\cdot B)$",
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"timestamp": "10/22/2022 18:27:31",
"content": "**Duh Hello**",
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"timestamp": "10/22/2022 18:28:38",
"content": "Not sure why the last bit of the last line doesnt show up but its supposed to say $x\\sum_{m=1}^na_mb_m=(xA)\\cdot B$",
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"timestamp": "10/22/2022 18:28:41",
"content": "**Duh Hello**",
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"timestamp": "10/22/2022 18:29:16",
"content": "But that is showing that the order does not matter since we come to the same answer no matter which order we do it in",
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"timestamp": "10/22/2022 18:33:09",
"content": "Channel closed",
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] | help-9 | 5b88901307ab4e90b1bb97c08fccc7be |
201,508 | [
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"content": "Available help channel!",
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"timestamp": "11/09/2022 22:28:56",
"content": "how do i approach this",
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"content": "@sajosup Has your question been resolved?",
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"content": "@sajosup Has your question been resolved?",
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] | help-9 | 991facb0dc2d49ecae45c520c166583d |
201,509 | [
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"id": 1040130164916498400,
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"content": "What’s an easier way of finding concavity",
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"content": "easier than what?",
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"timestamp": "11/10/2022 00:12:10",
"content": "Finding the second derivative?",
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"content": "I don't think you're gonna find a good answer",
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"id": 1040132416678932500,
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"content": "Someone said if f’(a)=0 then you could do f(a-epsilon), f(a) and f(a+epsilon), where epsilon is a small number",
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"timestamp": "11/10/2022 00:15:06",
"content": "But im not sure I really understand this",
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"author_name": "tatpoj",
"timestamp": "11/10/2022 00:18:46",
"content": "I think they were talking about something else. That sounds like they were trying to determine if a critical point was a maximum or minimum",
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"author_name": "tatpoj",
"timestamp": "11/10/2022 00:18:59",
"content": "which, I wouldn't recommend doing that way anyway.",
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"id": 1040133599439110100,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:19:34",
"content": "Oh",
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},
{
"id": 1040133768654106600,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:20:15",
"content": "Just doing 2nd derivatives for anything other than polynomials or trig gets messy 😦",
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"id": 1040133837402931200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:20:31",
"content": "Yeah, the quotient rule makes a mess sometimes",
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"id": 1040134363670663200,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:22:37",
"content": "I mean the thing is my teacher even said you don’t wanna do the 2nd derivative test on these, but I’m just confused as I think he explained another method but I didn’t understand",
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"id": 1040134538275344400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:23:18",
"content": "To determine concavity?",
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},
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"id": 1040134632756219900,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:23:41",
"content": "yea",
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{
"id": 1040134810204647600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:24:23",
"content": "oh",
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},
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"id": 1040134823584485500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:24:26",
"content": "I get what you're talking about now",
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},
{
"id": 1040134935861809200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:24:53",
"content": "But I don't agree with your teacher that it's better.",
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},
{
"id": 1040135254612119600,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:26:09",
"content": "Why and how?",
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{
"id": 1040135474347524200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:27:01",
"content": "Oh wait no, I'm wrong.",
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},
{
"id": 1040135498854842400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:27:07",
"content": "Yeah",
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"id": 1040135532551868400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 00:27:15",
"content": "I don't know how on earth you'd determine concavity without the second derivative",
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"id": 1040137576155197600,
"author_id": 916414467204608000,
"author_name": "Meep",
"timestamp": "11/10/2022 00:35:22",
"content": "Alright , thanks for trying tho",
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"id": 1040137660401975300,
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"author_name": "Meep",
"timestamp": "11/10/2022 00:35:43",
"content": ".close",
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"id": 1040137663421894700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 00:35:43",
"content": "Channel closed",
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}
] | help-9 | 32eafa91735e4fd08a655dc02b5f43cf |
201,510 | [
{
"id": 1040142061300625400,
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 00:53:12",
"content": "Available help channel!",
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},
{
"id": 1040142346995650600,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 00:54:20",
"content": "what differential rule is this? I don't really get it",
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"timestamp": "11/10/2022 00:54:21",
"content": "Pinned a message.",
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"id": 1040142729574875100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/10/2022 00:55:51",
"content": "the rule is literally named and described in the same picture you just sent, no?",
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{
"id": 1040142814513729500,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 00:56:11",
"content": "but I still don't completely understand",
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},
{
"id": 1040142944553930800,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 00:56:42",
"content": "like what does it mean by its linear",
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},
{
"id": 1040143139937194000,
"author_id": 1003058961378979800,
"author_name": "ωну_νloηє",
"timestamp": "11/10/2022 00:57:29",
"content": "product rule of differentiation ?",
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},
{
"id": 1040143264117964800,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 00:57:59",
"content": "ok if its product why is it saying linear",
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{
"id": 1040143276570849300,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 00:58:02",
"content": "are they the same thing?",
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},
{
"id": 1040143513062473700,
"author_id": 1003058961378979800,
"author_name": "ωну_νloηє",
"timestamp": "11/10/2022 00:58:58",
"content": "basically, its just taking the derivative of each part separately",
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"id": 1040143552765767700,
"author_id": 1003058961378979800,
"author_name": "ωну_νloηє",
"timestamp": "11/10/2022 00:59:07",
"content": "and constants can be taken out",
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"id": 1040143791803347000,
"author_id": 205021606823723000,
"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 01:00:04",
"content": "ok I think I'm seeing it more clearly",
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{
"id": 1040143896560287700,
"author_id": 1003058961378979800,
"author_name": "ωну_νloηє",
"timestamp": "11/10/2022 01:00:29",
"content": "think of it as just taking the derivative of two different terms that are being added together",
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"author_name": "AbsurdlyBlack",
"timestamp": "11/10/2022 01:00:31",
"content": "I was trying to correlate it to product cause thats how it looked like but it didnt make sense to my problem",
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"id": 1040143937849020500,
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"author_name": "ωну_νloηє",
"timestamp": "11/10/2022 01:00:39",
"content": "yup no worries",
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"timestamp": "11/10/2022 01:00:43",
"content": "yeah ok",
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"timestamp": "11/10/2022 01:00:55",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 01:00:56",
"content": "Channel closed",
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}
] | help-9 | 36707a891c124c4ba9e83a956732d3dd |
201,511 | [
{
"id": 1040144877322776600,
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"timestamp": "11/10/2022 01:04:23",
"content": "Available help channel!",
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},
{
"id": 1040151332067213300,
"author_id": 489580855342268400,
"author_name": "bladee draingang",
"timestamp": "11/10/2022 01:30:02",
"content": "Hello, struggling with standard form to vertex form. im asked to get vertex form from y=4x^2-16x+11, and this is what i have at the moment, but desmos and other calculators say i should be getting y=4(x-2)^2 -5 instead of y=4(x-2)^2+27. not sure where i am going wrong",
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"content": "Pinned a message.",
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{
"id": 1040151493556322400,
"author_id": 384676988453126140,
"author_name": "Cylo",
"timestamp": "11/10/2022 01:30:41",
"content": "you factorised it wrong",
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},
{
"id": 1040151546748477400,
"author_id": 384676988453126140,
"author_name": "Cylo",
"timestamp": "11/10/2022 01:30:53",
"content": "(x-2)^2 = x^2 - 4x +4",
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"id": 1040151575919874000,
"author_id": 384676988453126140,
"author_name": "Cylo",
"timestamp": "11/10/2022 01:31:00",
"content": "you did x^2-4x - 4",
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{
"id": 1040151890819821600,
"author_id": 489580855342268400,
"author_name": "bladee draingang",
"timestamp": "11/10/2022 01:32:15",
"content": "i see",
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{
"id": 1040152232806596600,
"author_id": 489580855342268400,
"author_name": "bladee draingang",
"timestamp": "11/10/2022 01:33:37",
"content": "to get the +4 at the end u would multiply the -4 in the middle by 1/2, which is -2? im watching a video on it, sorry if the method is not conventional or smth im not sure",
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{
"id": 1040152234966659100,
"author_id": 763236120367857700,
"author_name": "Kinnnn",
"timestamp": "11/10/2022 01:33:37",
"content": "can someone help me how to make a table or drawing out of this question?How many games will be played by 8 players in a ping-pong tournament if each player plays with every other player\n exactly once? (Make a drawing/table & look for a pattern)",
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"id": 1040152377380061200,
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"author_name": "Cylo",
"timestamp": "11/10/2022 01:34:11",
"content": "yes. you multiple middle term by 1/2 and then square it.",
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"timestamp": "11/10/2022 01:34:41",
"content": "i forgot the squaring, i understand now thank you",
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"author_name": "Cylo",
"timestamp": "11/10/2022 01:34:46",
"content": "no worries :)",
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"timestamp": "11/10/2022 01:35:00",
"content": ".close",
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"timestamp": "11/10/2022 01:35:01",
"content": "Channel closed",
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] | help-9 | 59471e30b60545ce9b691d819f867195 |
201,512 | [
{
"id": 1040153862201409500,
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 01:40:05",
"content": "Available help channel!",
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},
{
"id": 1040154859929878500,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 01:44:03",
"content": "What do i do if when finding range of grouped data the theres 2 classes of lowest frequency?",
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},
{
"id": 1040154862077354000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 01:44:04",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 01:59:04",
"content": "@Y Cheffe Has your question been resolved?",
"attachments": [],
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"id": 1040162677235920900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/10/2022 02:15:07",
"content": "Break ties",
"attachments": [],
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"id": 980571038838558700,
"name": "Y Cheffe",
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"nickname": "please request a new nickname",
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"id": 1040162749411504100,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 02:15:24",
"content": "Its aight ive got it lol",
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{
"id": 1040162771507089400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/10/2022 02:15:30",
"content": "Or just give both answers",
"attachments": [],
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"id": 1040162781472751600,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 02:15:32",
"content": "I thought it had ti do w frequency",
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{
"id": 1040162867619569700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/10/2022 02:15:52",
"content": "Close if you're done 👍",
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{
"id": 1040162886586216400,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 02:15:57",
"content": ".close",
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},
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"id": 1040162889719357400,
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"timestamp": "11/10/2022 02:15:58",
"content": "Channel closed",
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}
] | help-9 | 932c5f3d81174622a3836cd087bf35fa |
201,513 | [
{
"id": 1040167087219408900,
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 02:32:38",
"content": "Available help channel!",
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},
{
"id": 1040167151509708800,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/10/2022 02:32:54",
"content": "need a bit help trying to do this",
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"timestamp": "11/10/2022 02:32:54",
"content": "Pinned a message.",
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"id": 1040167183147335700,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/10/2022 02:33:01",
"content": "is it chain rule?",
"attachments": [],
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},
{
"id": 1040167330845573100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/10/2022 02:33:37",
"content": "you'll probably use a few different rules",
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{
"id": 1040167386206179300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/10/2022 02:33:50",
"content": "chain rule could be one",
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},
{
"id": 1040167433467613200,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/10/2022 02:34:01",
"content": "yea so would i use chain rule first and then product rule?",
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},
{
"id": 1040167532755161200,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/10/2022 02:34:25",
"content": "product rule for the sin^2(x-1) and cos^2(x-1)?",
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},
{
"id": 1040167633871450100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/10/2022 02:34:49",
"content": "unclear question haha",
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"id": 1040167730722132000,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "11/10/2022 02:35:12",
"content": "wait wouldn't it just be product rule",
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"timestamp": "11/10/2022 02:36:24",
"content": "you could do it in different ways but i think chain rule is a good idea",
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"content": "so would it would be sin^2(x-1)u?",
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"timestamp": "11/10/2022 02:37:35",
"content": "not sure whacha mean",
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"author_name": "♡A(lex)♡",
"timestamp": "11/10/2022 02:43:59",
"content": "if u r doing derivatives then you have to do a double chain rule with product rule",
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"content": "ahh yea forgot to clarify, yes i am trying to do derivatives",
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"timestamp": "11/10/2022 02:45:13",
"content": "yes so basically you have to do chain rule for that ^2 composition",
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"author_name": "♡A(lex)♡",
"timestamp": "11/10/2022 02:45:25",
"content": "and then another chain rule for the insides of the trig function",
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"timestamp": "11/10/2022 02:45:40",
"content": "i mean it wouldnt matter since it would be just 1, the derivative of inside the trig functions",
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"timestamp": "11/10/2022 02:45:50",
"content": "but it is also more formal to write them out",
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"author_name": "J__l. J",
"timestamp": "11/10/2022 02:46:14",
"content": "ah ok, what do you mean by double chain rules?",
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"author_name": "J__l. J",
"timestamp": "11/10/2022 02:46:46",
"content": "like u^2 and the do a chain rule sun^2u?",
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"timestamp": "11/10/2022 03:01:46",
"content": "@J__l. J Has your question been resolved?",
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] | help-9 | 8b75277711e44f39962540d64d35441b |
201,514 | [
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"id": 1040181861261000700,
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"author_name": "Minti",
"timestamp": "11/10/2022 03:31:21",
"content": "the textbook says the answer is 4/9, but my question is how isnt it 4/81?",
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"id": 1040181962607968300,
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"author_name": "Minti",
"timestamp": "11/10/2022 03:31:45",
"content": "as 2/9 . 2/9 =4/81",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 03:33:37",
"content": "what's 2/9",
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"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:33:40",
"content": "so you want to know what the answer is if we do the experiment again, but WITH REPLACEMENT",
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"id": 1040182453207322600,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 03:33:42",
"content": "?",
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"id": 1040182480692584600,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:33:49",
"content": "yes with replacement",
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"id": 1040182541270929400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:34:03",
"content": "there's 4 red and 2 white",
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},
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"id": 1040182564570288100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:34:09",
"content": "that's 6 marbles, not 9",
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"id": 1040182656006107100,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 03:34:30",
"content": "(brain fart)",
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{
"id": 1040182828266180600,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:35:11",
"content": "im aware its not 9",
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"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:35:13",
"content": "4C1 / 6C4 i think",
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"id": 1040182854170189800,
"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:35:18",
"content": "i just woke up",
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"id": 1040182905147764700,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:35:30",
"content": "2/6 . 4/6= 2/9",
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"id": 1040182926748434400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:35:35",
"content": "it's kind of hard to read the question this way",
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"id": 1040182958327353300,
"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:35:42",
"content": "yeah",
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"id": 1040183020335931400,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:35:57",
"content": "i can send a pic of my tree diagram hold on",
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"id": 1040183073322582000,
"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:36:10",
"content": "so whats the probability of getting exactly 1 red marble with replacement?",
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"id": 1040183086685638700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:36:13",
"content": "they want the probability of selecting 1 red marble during these 2 trials?",
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"id": 1040183110018543600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:36:19",
"content": "ok",
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"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:36:20",
"content": "idk",
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{
"id": 1040183351618842600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:37:16",
"content": "so that would be",
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"author_name": "Minti",
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"content": "",
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"id": 1040183428823396400,
"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:37:35",
"content": "i just want the correct form of the question >:(",
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},
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"id": 1040183478903386100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:37:47",
"content": "P(W,R) + P(R,W) + P(W,W)",
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},
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"id": 1040183508297072600,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:37:54",
"content": "its repeated twice",
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"id": 1040183533253173200,
"author_id": 706792177451401200,
"author_name": "tohmei",
"timestamp": "11/10/2022 03:38:00",
"content": "ohhh",
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"id": 1040183587225481200,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:38:12",
"content": "not w,w as it wants exactly 1 red marble",
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"id": 1040183621132230700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:38:20",
"content": "Oh, yes",
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"id": 1040183642183446500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:38:25",
"content": "(brain fart, see)",
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"id": 1040183655752015900,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:38:29",
"content": "haha",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 03:38:31",
"content": "without replacement you would do\n4/6 × 2/5 × 2\nred, then white times two for the opposite\nwith replacement it just becomes\n4/6 × 2/6 × 2",
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"id": 1040183862749319200,
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"author_name": "Minti",
"timestamp": "11/10/2022 03:39:18",
"content": "wouldnt you add them?",
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"id": 1040184030370463700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:39:58",
"content": "that's what x2 is short for in this case",
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},
{
"id": 1040184072221249500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:40:08",
"content": "it's the same as doing it twice",
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},
{
"id": 1040184096472715400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:40:14",
"content": "since the order is just swapped",
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},
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"id": 1040184156581273600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:40:28",
"content": "P(R,W) + P(W,R) = 2xP(R,W)",
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"id": 1040184181633843300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 03:40:34",
"content": "yes multiplying by two, short for adding two terms that aren't different",
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"id": 1040184286676009000,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:40:59",
"content": "aah ok",
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"id": 1040184364107046900,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:41:18",
"content": "i was doing 2/9 . 2/9 not 2/9+2/9",
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"id": 1040184390682169300,
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"author_name": "Minti",
"timestamp": "11/10/2022 03:41:24",
"content": "thanks guys",
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"id": 1040184400610074600,
"author_id": 466081844312670200,
"author_name": "Minti",
"timestamp": "11/10/2022 03:41:26",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 03:41:27",
"content": "Channel closed",
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] | help-9 | fc25eac65bc849779c9dc51a0d4d0694 |
201,515 | [
{
"id": 1040184655871225900,
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"timestamp": "11/10/2022 03:42:27",
"content": "Available help channel!",
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"id": 1040184945806692400,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 03:43:36",
"content": "suppose $a,b,c,d \\in R > 0$ \\\\\\\nIF $a+b > c+d$ THEN $a^2+b^2 > c^2 + d^2$\\\\\\\nis this always true? \\\\\\\nIF $a^2+b^2 > c^2 + d^2 $THEN $a+b > c+d$\\\\\\\nis this also always true? \\\\\\\nAT THE END OF THE DAY: this is the question $ a+b > c+d \\iff a^2+b^2>c^2+d^2$",
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"content": "Pinned a message.",
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"id": 1040185797606899700,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 03:46:59",
"content": "i basically want to know whether \\\\\\\nthis is always true $ a+b > c+d IF AND ONLY IF a^2+b^2>c^2+d^2$",
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"id": 1040185890431045600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:47:21",
"content": "that's not the same thing",
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},
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"id": 1040185945644875800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:47:35",
"content": "what does your question say",
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"id": 1040186005510160400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 03:47:49",
"content": "exactly",
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"id": 1040186223664320500,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 03:48:41",
"content": "ok, first part",
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"id": 1040186227351101400,
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"author_name": "TeXit",
"timestamp": "11/10/2022 03:48:42",
"content": "**aks**",
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"timestamp": "11/10/2022 03:49:06",
"content": "i say its\n\nsuppose $a,b,c,d \\in R > 0$ \\\\\nIF $a+b > c+d$ THEN $a^2+b^2 > c^2 + d^2$\\\\\nis this always true? \\\\\nIF $a^2+b^2 > c^2 + d^2 $THEN $a+b > c+d$\\\\\nis this also always true? \\\\\nAT THE END OF THE DAY: this is the question $ a+b > c+d \\iff a^2+b^2>c^2+d^2$",
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"timestamp": "11/10/2022 03:49:10",
"content": "**Th350eo**",
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"timestamp": "11/10/2022 03:55:36",
"content": "idk",
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"timestamp": "11/10/2022 03:56:12",
"content": "...",
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"author_name": "Disorganized",
"timestamp": "11/10/2022 03:56:25",
"content": "/shrug",
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"author_name": "aks",
"timestamp": "11/10/2022 03:56:31",
"content": "a=2 b=4 c=3 d=3\nso then seems to contradict",
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"timestamp": "11/10/2022 03:58:09",
"content": "lol wait",
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"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 03:58:26",
"content": "yeah i do not understand the jump to therefore lol",
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"author_name": "aks",
"timestamp": "11/10/2022 03:58:56",
"content": "i am finding this question quite a tricky one to solve, unless i'm dumb",
"attachments": [],
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"author_name": "Disorganized",
"timestamp": "11/10/2022 03:59:49",
"content": "this is an easy one let's look it up",
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"id": 1040189617460224000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:02:10",
"content": "unfortunately, google thinks my input is an equivalence relation",
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"id": 1040189876051656800,
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"author_name": "aks",
"timestamp": "11/10/2022 04:03:12",
"content": "i did not get what relations have to do with the statement asked above.",
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"id": 1040190115303145600,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:09",
"content": "this doesn't match the preposition though",
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"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:23",
"content": "if you can find a single counter-example, you are done",
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"id": 1040190189663961100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:27",
"content": "but that isn't one.",
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"author_name": "aks",
"timestamp": "11/10/2022 04:04:28",
"content": "oh i meant to say that in a previous reponse you made",
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"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:36",
"content": "I know but",
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"id": 1040190284593635300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:49",
"content": "a+b > c+d is the preposition",
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"id": 1040190299399524400,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 04:04:53",
"content": "plug those values in",
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"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:04:56",
"content": "that is what i am indeed trying since a while 🤔",
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"timestamp": "11/10/2022 04:05:21",
"content": "you get 6 > 6",
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"id": 1040190457709342700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:05:30",
"content": "which is a false preposition",
"attachments": [],
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"id": 1040190512696676400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:05:44",
"content": "(am I using the right vocabulary here?)",
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"author_name": "aks",
"timestamp": "11/10/2022 04:06:01",
"content": "yeah i get it that was a contradiction for a previous response of proof you made. not a counterexample",
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"author_name": "Disorganized",
"timestamp": "11/10/2022 04:06:04",
"content": "anyway you need a different set of numbers to disprove it",
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"timestamp": "11/10/2022 04:06:10",
"content": "yup",
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"author_name": "aks",
"timestamp": "11/10/2022 04:06:27",
"content": "still unsure if the statement/preposition is T or F",
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"content": "",
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"id": 1040190858869346300,
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"author_name": "Disorganized",
"timestamp": "11/10/2022 04:07:06",
"content": "not sure but I know \"hypothesis\" is what it's called",
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"id": 1040190901328293900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:07:16",
"content": "pretty sure there's another word though",
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"id": 1040190959100629000,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:07:30",
"content": "should we use @ Helpers at this point? maybe more people together can help figure it out 🤔 ?",
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"id": 1040191841007587300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:11:00",
"content": "@Helpers",
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},
{
"id": 1040191850956472400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:11:03",
"content": "#shame",
"attachments": [],
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},
{
"id": 1040194196583219200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:20:22",
"content": "GIVEN:\na,b,c,d in R+,\na+b > c+d.\n\n0) r^2 > r for all r in R+.\n1) a^2 + b^2 > a+b\n2) c^2 + d^2 > c+d\n:. a^2 + b^2 > c^2 + d^2",
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"id": 1040194247107825700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:20:34",
"content": "(now we need reverse)",
"attachments": [],
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},
{
"id": 1040195109695782900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:24:00",
"content": "GIVEN:\na,b,c,d in R+,\na^2 + b^2 > c^2 + d^2.\n\n(...)",
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"id": 1040196156061384700,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:28:09",
"content": "here's a nice (FREE) Number Theory textbook\nhttps://math.gordon.edu/ntic/ntic/frontmatter-1.html",
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"id": 1040197321654288400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:32:47",
"content": "I got it",
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},
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"id": 1040197349634482200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:32:54",
"content": "(worked it out)",
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},
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"id": 1040198346863824900,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:36:51",
"content": "oh thanks for your dedication!\nwhich page is it, if you don't mind?",
"attachments": [],
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{
"id": 1040198420419321900,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:37:09",
"content": "I don't think it's in there",
"attachments": [],
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},
{
"id": 1040198444410749000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:37:15",
"content": "I started trying to scratch it out",
"attachments": [],
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},
{
"id": 1040198469446545400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:37:21",
"content": "I got overconfident though",
"attachments": [],
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},
{
"id": 1040198496378159200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:37:27",
"content": "not sure how to proceed",
"attachments": [],
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},
{
"id": 1040198562761408500,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:37:43",
"content": "GIVEN:\na,b,c,d in R+,\na^2 + b^2 > c^2 + d^2.\n\n1) (a+b)^2 - 2ab > (c+d)^2 - 2cd (by binomial theorem)\n3.) ...",
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},
{
"id": 1040198761835679700,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:38:30",
"content": "oh nvm it's fine bro. don't worry too much about it",
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},
{
"id": 1040198801635414000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:38:40",
"content": "one sec",
"attachments": [],
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},
{
"id": 1040198849983160400,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:38:51",
"content": "hang on",
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"id": 1040198924876652500,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:39:09",
"content": "sure no worries. but i do not want to stress you at this point. i appreciate your efforts but if you want to we can just end it here",
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{
"id": 1040199630765424600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:41:57",
"content": "GIVEN:\na,b,c,d in R+,\na^2 + b^2 > c^2 + d^2.\n\n1) (a+b)^2 - 2ab > (c+d)^2 - 2cd (by binomial theorem)\n2) (a+b)^2 > (a+b)^2 - 2ab.\n3) (c+d)^2 > (c+d)^2 - 2cd.\n(trying to make the same mistake as before?)",
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"id": 1040199647613960200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:42:01",
"content": "idk, sorry",
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"id": 1040199938941911000,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:43:11",
"content": "nw. truly appreciate your dedication in helping :}\nbut let's just leave it here",
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"id": 1040199950010691600,
"author_id": 752422843953840300,
"author_name": "aks",
"timestamp": "11/10/2022 04:43:14",
"content": ".close",
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},
{
"id": 1040199953168990300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 04:43:14",
"content": "Channel closed",
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}
] | help-9 | 56b03df179404d6c9adab1417c362649 |
201,516 | [
{
"id": 1040200205141803100,
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 04:44:14",
"content": "Available help channel!",
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{
"id": 1040200801211129900,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:46:37",
"content": "Yo",
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},
{
"id": 1040200803278925800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 04:46:37",
"content": "Pinned a message.",
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"id": 1040200831154257900,
"author_id": 406453846945169400,
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"timestamp": "11/10/2022 04:46:44",
"content": "Derivative",
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},
{
"id": 1040200854529118200,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:46:49",
"content": "Of 4ln",
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"id": 1040200916307034100,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:47:04",
"content": "Does it basically say ln x^4",
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"id": 1040200945050587100,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:47:11",
"content": "Or is that not the same",
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"id": 1040200956568162300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/10/2022 04:47:14",
"content": "um",
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},
{
"id": 1040200980425363500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/10/2022 04:47:19",
"content": "4/x",
"attachments": [],
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},
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"timestamp": "11/10/2022 04:47:23",
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"timestamp": "11/10/2022 04:47:30",
"content": "Yeh alr thx",
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"id": 1040201068769968100,
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"timestamp": "11/10/2022 04:47:40",
"content": "ur",
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"id": 1040201091545059300,
"author_id": 187850624421986300,
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"timestamp": "11/10/2022 04:47:46",
"content": "q is so diff",
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"timestamp": "11/10/2022 04:48:12",
"content": "[ln(f(x))]' = f'(x)/f(x)",
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"author_name": "Circle",
"timestamp": "11/10/2022 04:48:22",
"content": "[aln(f(x))]' = af'(x)/f(x)",
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"id": 1040201264602030100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/10/2022 04:48:27",
"content": "if u have some constant in front",
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"id": 1040201779020824600,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:50:30",
"content": "What you mean by q",
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"id": 1040201816664723600,
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"author_name": "Ice Bear",
"timestamp": "11/10/2022 04:50:39",
"content": "I dont understand",
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},
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"id": 1040202907884208100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/10/2022 04:54:59",
"content": "so diff from dis",
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"id": 1040202933146489000,
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"author_name": "Circle",
"timestamp": "11/10/2022 04:55:05",
"content": "q is question",
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},
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"id": 1040202977719373800,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:55:15",
"content": "are you new to words generally or...",
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"id": 1040203040617156600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:55:30",
"content": "oh I can read that",
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},
{
"id": 1040203074578432000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:55:39",
"content": "what was I reading a min ago",
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},
{
"id": 1040203347493388300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:56:44",
"content": "my sugar's low don't mind me, nothing I'm reading is making sense right now",
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},
{
"id": 1040203379596591100,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:56:51",
"content": "gonna get some food",
"attachments": [],
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},
{
"id": 1040203404598841300,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "11/10/2022 04:56:57",
"content": ":ablobsadpats:",
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{
"id": 1040203468113195000,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/10/2022 04:57:12",
"content": "hey, in my defense ^",
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"id": 1040205593270562800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 05:05:39",
"content": "@Ice Bear Has your question been resolved?",
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"id": 1040205706604859400,
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"timestamp": "11/10/2022 05:06:06",
"content": "Im confused but yes it has been answered lel",
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"id": 1040205723059093500,
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"author_name": "Ice Bear",
"timestamp": "11/10/2022 05:06:10",
"content": "Thx again",
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},
{
"id": 1040205743405674500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 05:06:15",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | d992376f3614445d88f613e3e039671a |
201,517 | [
{
"id": 1040205994980024300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 05:07:15",
"content": "Available help channel!",
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},
{
"id": 1040206263667134500,
"author_id": 244307530036019200,
"author_name": "samil",
"timestamp": "11/10/2022 05:08:19",
"content": "can someone help with this please",
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"content": "Pinned a message.",
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"id": 1040206314892169200,
"author_id": 244307530036019200,
"author_name": "samil",
"timestamp": "11/10/2022 05:08:31",
"content": "specifically part b",
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},
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"id": 1040206331367399400,
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"author_name": "samil",
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"id": 1040206394642669700,
"author_id": 244307530036019200,
"author_name": "samil",
"timestamp": "11/10/2022 05:08:50",
"content": "i've got this, and i want help on working on that 2nd last line",
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},
{
"id": 1040208532605239300,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 05:17:20",
"content": "Damn what topic is this",
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},
{
"id": 1040208559645933600,
"author_id": 980571038838558700,
"author_name": "Y Cheffe",
"timestamp": "11/10/2022 05:17:26",
"content": "Mega big brain",
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{
"id": 1040211108583198800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 05:27:34",
"content": "@samil Has your question been resolved?",
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"timestamp": "11/10/2022 05:57:42",
"content": "@samil Has your question been resolved?",
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"id": 1040233857896689800,
"author_id": 805217272087838700,
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"timestamp": "11/10/2022 06:57:58",
"content": "@samil Has your question been resolved?",
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"id": 1040249384081821700,
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"author_name": "samil",
"timestamp": "11/10/2022 07:59:40",
"content": "this is what i've got for variance",
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"id": 1040249435768242200,
"author_id": 244307530036019200,
"author_name": "samil",
"timestamp": "11/10/2022 07:59:52",
"content": "bit stuck on how to progress with the proof",
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},
{
"id": 1040279635876921500,
"author_id": 805217272087838700,
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"timestamp": "11/10/2022 09:59:52",
"content": "@samil Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 11:59:53",
"content": "Channel closed",
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}
] | help-9 | 900ad87f79974b30a4dda093a0037679 |
201,518 | [
{
"id": 1033508590163595400,
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 18:34:09",
"content": "Available help channel!",
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},
{
"id": 1033508826609098800,
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"author_name": "DarkmoonBladeLion",
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"id": 1033508829478015100,
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"timestamp": "10/22/2022 18:35:06",
"content": "Pinned a message.",
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{
"id": 1033509802007068800,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:38:58",
"content": "well",
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},
{
"id": 1033509855882911700,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:39:11",
"content": "im not completely sure but I can try to help you with the first one",
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},
{
"id": 1033510096614985900,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:40:08",
"content": "so when iss something to the power of something 1",
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},
{
"id": 1033510105167167500,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:40:10",
"content": "?",
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"id": 1033510141380800600,
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"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:40:19",
"content": "@DarkmoonBladeLion",
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{
"id": 1033510722413527000,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:42:37",
"content": "I have no clue and I posted this to the wrong discord.",
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},
{
"id": 1033510760803999900,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:42:47",
"content": "oh",
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},
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"id": 1033510778088718300,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:42:51",
"content": "do you need help or no",
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},
{
"id": 1033510937849761800,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:43:29",
"content": "I don't even know where to begin on this to be honest",
"attachments": [],
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},
{
"id": 1033510981051097100,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:43:39",
"content": "ok",
"attachments": [],
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},
{
"id": 1033511022545342500,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:43:49",
"content": "so x^0 is alwaays 1 right",
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},
{
"id": 1033511172525277200,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:44:25",
"content": "Yes",
"attachments": [],
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"reference": null
},
{
"id": 1033511187561861100,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:44:28",
"content": "so if the top exponent is 0 its 1 right",
"attachments": [],
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},
{
"id": 1033511275239579800,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:44:49",
"content": "and what i immediately thought of is x^2-4x+4 factorable?",
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},
{
"id": 1033511698314821600,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:46:30",
"content": "It should be yes there are two whole numbers right",
"attachments": [],
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"reference": null
},
{
"id": 1033511757521625100,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:46:44",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 1033511775498412200,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:46:48",
"content": "what is the factors?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511795547177000,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:46:53",
"content": "we waant x^2-4x+4=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511810114003000,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:46:57",
"content": "factor it",
"attachments": [],
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},
{
"id": 1033511847128735700,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:47:06",
"content": "Ohhh 😲",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511883166208100,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:47:14",
"content": "I see now 😅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511908298473500,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:20",
"content": "its a double root 🙂",
"attachments": [],
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"reference": null
},
{
"id": 1033511939969654800,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:47:28",
"content": "Thank you!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511965559115900,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:34",
"content": "were not done yet tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033511972014141600,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:35",
"content": "i thinnk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512003412701300,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:43",
"content": "theres prob mroe after",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512015660060800,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:46",
"content": "so lets keep going",
"attachments": [],
"mentions": [],
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},
{
"id": 1033512047616471200,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:47:53",
"content": "I can figure out the rest no problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512072719376500,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:47:59",
"content": "u sure",
"attachments": [],
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},
{
"id": 1033512082882166900,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:48:02",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512082903154800,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:48:02",
"content": "i wana make sure",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512112594628600,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:48:09",
"content": "what do you do after?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512153359065100,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:48:19",
"content": "Also I have a study partner",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512184573071400,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:48:26",
"content": "So I'm good thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033512253531627600,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:48:42",
"content": "ok but ill jsut ssay you also haave to check the cases where the base is 1,-1",
"attachments": [],
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},
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"id": 1033512291485880400,
"author_id": 896843688049799200,
"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:48:52",
"content": "and see if the exponent is even",
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"id": 1033512313132683400,
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"author_name": "PP|Skunk",
"timestamp": "10/22/2022 18:48:57",
"content": "there is at least 2 numbers",
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"id": 1033512591017922700,
"author_id": 620778063671590900,
"author_name": "DarkmoonBladeLion",
"timestamp": "10/22/2022 18:50:03",
"content": "Yes thank you for the help",
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"timestamp": "10/22/2022 19:05:03",
"content": "@DarkmoonBladeLion Has your question been resolved?",
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"timestamp": "10/22/2022 19:05:14",
"content": "Channel closed",
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] | help-9 | 8419f08e156546afaca45357a5508f56 |
201,519 | [
{
"id": 1040310089061511200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 12:00:53",
"content": "Available help channel!",
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"id": 1040313185347055600,
"author_id": 845448183891230700,
"author_name": "RobinHood",
"timestamp": "11/10/2022 12:13:11",
"content": "Hello! Doing two practice questions and I need some help/confirmation.. thank you!\n\nA. Which ones of the following numbers can be the order of a subgroup of a group of order 120?\n2,60,15,9,240,5,1,7 \n\nB. Which ones of the following subgroups of D16 has for normalizer D16 (with |D16|=16)?\n\n1. <r>\n2.<sr^2>\n3.<s,r>\n4.<r^4>\n5.<sr^4>\n6.<s,r^4>\n7. None of these answers \n—————-\nMy take on A: according to lagrange’s theorem, the order of the subgroup must divide the order of the group so the answers would be 2,60,15,5 and 1?\n\nMy take on B: I know what normalization is but I’m stuck on how to proceed to prove that the normalizer is D16 for one/many/either of them. Need massive help. \nThank you!!",
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"timestamp": "11/10/2022 12:13:12",
"content": "Pinned a message.",
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"author_name": "RobinHood",
"timestamp": "11/10/2022 12:13:17",
"content": "@Helpers",
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 12:28:18",
"content": "@RobinHood Has your question been resolved?",
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"id": 1040318109006958600,
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"author_name": "hR1487",
"timestamp": "11/10/2022 12:32:45",
"content": "A seems fine\nas for B, u can use the fact that if D16 is normalizer for one of it's subgroup then that subgroup has to be a normal subgroup",
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"id": 1040323805400281100,
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"author_name": "RobinHood",
"timestamp": "11/10/2022 12:55:23",
"content": "@hR1487 is the subgroup <s,r> an answer or am I completely wrong lol?",
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"author_name": "RobinHood",
"timestamp": "11/10/2022 12:56:20",
"content": "Which ones or which one are normal? I’m currently practicing how to show that a subgroup is normal",
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"author_name": "hR1487",
"timestamp": "11/10/2022 13:12:31",
"content": "its not",
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"author_name": "hR1487",
"timestamp": "11/10/2022 13:13:01",
"content": "how do u determine whether a subgroup is normal or not?",
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"author_name": "hR1487",
"timestamp": "11/10/2022 13:16:15",
"content": "btw all of your options are missing identity element",
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"timestamp": "11/10/2022 13:26:20",
"content": "@RobinHood Has your question been resolved?",
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"timestamp": "11/10/2022 13:56:21",
"content": "Channel closed",
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}
] | help-9 | c7e4bc66105747c8bb9936813876553d |
201,520 | [
{
"id": 1040339398396494000,
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"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 13:57:21",
"content": "Available help channel!",
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},
{
"id": 1040339615929868400,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 13:58:13",
"content": "How do I solve this ?",
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"timestamp": "11/10/2022 13:58:14",
"content": "Pinned a message.",
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{
"id": 1040340946992242700,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:03:30",
"content": "I know it should be easy",
"attachments": [],
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},
{
"id": 1040340988067074000,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:03:40",
"content": "but my brain can't seem to process today",
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"reference": null
},
{
"id": 1040341163825184900,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:04:22",
"content": "I tried a =kb",
"attachments": [],
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},
{
"id": 1040341306809008300,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:04:56",
"content": "then I get k = (2 x 3 x 5^2) / (5^m x 7^p)",
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},
{
"id": 1040341323208724500,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:05:00",
"content": "but I can't proceed with it",
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},
{
"id": 1040343915506712600,
"author_id": 388994477139689500,
"author_name": "AAMpro_IV",
"timestamp": "11/10/2022 14:15:18",
"content": "no one wants to help 💀 @Helpers",
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},
{
"id": 1040347691873476700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 14:30:18",
"content": "@AAMpro_IV Has your question been resolved?",
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{
"id": 1040347776237715500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 14:30:38",
"content": "you can't have b having more of some prime than a",
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},
{
"id": 1040347799956500600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 14:30:44",
"content": "it stops dividing",
"attachments": [],
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"reference": null
},
{
"id": 1040348096112111600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/10/2022 14:31:54",
"content": "so e.g. p can be 0, and can't be something else",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 14:45:18",
"content": "Channel closed",
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}
] | help-9 | 48a613b64cf745e29dfc539dca4a64e5 |
201,521 | [
{
"id": 1040351722066956400,
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"timestamp": "11/10/2022 14:46:19",
"content": "Available help channel!",
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},
{
"id": 1040353211694972900,
"author_id": 413745996934152200,
"author_name": "BepisDoggo",
"timestamp": "11/10/2022 14:52:14",
"content": "I need help with simplex algorithm ( canonical linear programming problem )",
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{
"id": 1040353213846667400,
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"timestamp": "11/10/2022 14:52:15",
"content": "Pinned a message.",
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"timestamp": "11/10/2022 15:07:14",
"content": "@BepisDoggo Has your question been resolved?",
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"timestamp": "11/10/2022 15:37:28",
"content": "@BepisDoggo Has your question been resolved?",
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"id": 1040372147882836100,
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"content": "Channel closed",
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] | help-9 | 762042c7d63f442f9c1164890224a238 |
201,522 | [
{
"id": 1040378184920727600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/10/2022 16:31:28",
"content": "Available help channel!",
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},
{
"id": 1040380778581864400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/10/2022 16:41:46",
"content": "Hi, quick question how would you factorise this",
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},
{
"id": 1040380781161361500,
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"content": "Pinned a message.",
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"id": 1040380841408344000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/10/2022 16:42:01",
"content": "-2x^2 + 5x + 3 < 0",
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},
{
"id": 1040381241863700500,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:43:37",
"content": "complete the square",
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},
{
"id": 1040381571208847500,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:44:55",
"content": "$-2[x^{2}-\\frac{5x}{2}]+3<0$ then $-2[(x-\\frac{5}{4})^{2}-\\frac{25}{16}]+3<0$",
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},
{
"id": 1040381728658825200,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:45:33",
"content": "then just expand the square brackets and simplify",
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},
{
"id": 1040381780030672900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/10/2022 16:45:45",
"content": "**Azo**",
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"id": 1040381886662455300,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/10/2022 16:46:11",
"content": "Are there multiple ways to factorise this or is completing the square the only way",
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"id": 1040382773346705400,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:49:42",
"content": "",
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"id": 1040382792774721500,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:49:47",
"content": "I mean that works",
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"id": 1040382870176420000,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "11/10/2022 16:50:05",
"content": "or you could use the quadratic formula to find the roots and then rewrite the equation",
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"timestamp": "11/10/2022 17:01:11",
"content": "@waterr beam Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | e5bba59e94394bcf83e635e98cbfc68b |
201,523 | [
{
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"timestamp": "11/10/2022 17:17:12",
"content": "Available help channel!",
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},
{
"id": 1040390284460175500,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/10/2022 17:19:33",
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"content": "Pinned a message.",
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"id": 1040390414034800600,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/10/2022 17:20:04",
"content": "I've done A, but I dont know how to work out B, I understand it but idk how to get to the answer, which is 2.03",
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"id": 1040390465368887300,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/10/2022 17:20:16",
"content": "u = 35 for particle A",
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"id": 1040394183095099500,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/10/2022 17:35:02",
"content": ".close",
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"id": 1040394185318072400,
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"timestamp": "11/10/2022 17:35:03",
"content": "Channel closed",
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] | help-9 | b5d5894d426a4198ba37d2dd57f6e84c |
201,524 | [
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"timestamp": "11/10/2022 17:36:03",
"content": "Available help channel!",
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},
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"id": 1040394598880649200,
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"timestamp": "11/10/2022 17:37:31",
"content": "It should simplify to u''' . (u x u') but I'm stuck.",
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"timestamp": "11/10/2022 17:39:21",
"content": "Have I made a mistake somewhere or can I distribute some terms (lecture notes didn't include distribution rules).",
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"timestamp": "11/10/2022 17:39:21",
"content": "need more context to this question",
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"content": "are these vectors?",
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"timestamp": "11/10/2022 17:40:18",
"content": "It's from part b. Yes, they are vectors (presumably 3D since it's a cross product).",
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"timestamp": "11/10/2022 17:41:37",
"content": "then pls pls pls underline anything that is a vector",
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"timestamp": "11/10/2022 17:42:00",
"content": "Oof true, I should have.",
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"timestamp": "11/10/2022 17:42:18",
"content": "have you learnt index notation?",
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"content": "I have these rules written down, but I'm not sure if I need more to answer the question.",
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"timestamp": "11/10/2022 17:42:32",
"content": "Could you give an example?",
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"timestamp": "11/10/2022 17:43:08",
"content": "it's a way of writing cross products and other vector/matrix equations in easy to read forms",
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"timestamp": "11/10/2022 17:43:15",
"content": "do you recognise Levi-Civita",
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"timestamp": "11/10/2022 17:43:27",
"content": "this thing",
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"author_name": "Max..",
"timestamp": "11/10/2022 17:43:45",
"content": "because there are two ways of doing what u are trying to do, one using index notation and another which is expanding everything out",
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"timestamp": "11/10/2022 17:44:31",
"content": "No, I'm not familiar with it. I probably can't use it in the course but it looks convenient.",
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"timestamp": "11/10/2022 17:45:04",
"content": "Am I on the right track, in terms of expanding it out? I don' see a way to simplify it further.",
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"timestamp": "11/10/2022 17:45:34",
"content": "it's kinda tricky to learn",
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"timestamp": "11/10/2022 17:46:35",
"content": "not really lol, write all of the vectors as (u1,u2,u3) and (u1',u2',u3') ext, then expand using dot product and cross product (it will be messy) then differentiate",
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"timestamp": "11/10/2022 17:48:41",
"content": "Thanks, guess I have to deal with the components directly 😬",
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"timestamp": "11/10/2022 17:48:56",
"content": "yep, when u meet index notation this becomes alot simpler",
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"timestamp": "11/10/2022 17:49:01",
"content": "This was a similar example from the lecture",
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"content": "you can expand cross products using levi-cevita",
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"timestamp": "11/10/2022 17:49:39",
"content": "hmm maybe not",
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"timestamp": "11/10/2022 17:49:47",
"content": "in my course we had to expand by hand and do this",
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"timestamp": "11/10/2022 17:50:13",
"content": "I was hoping there were some neat identities, but they didn't give us any formulas for distributing",
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"timestamp": "11/10/2022 17:50:59",
"content": "Maybe that was in the linear algebra pre-req, but I can never remember those distributive rules",
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"timestamp": "11/10/2022 17:55:12",
"content": "ok i got it",
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"timestamp": "11/10/2022 17:55:14",
"content": "I found an identity that might help:\nu . (v x w) = w . (u x v)",
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"timestamp": "11/10/2022 17:55:16",
"content": "u x u = 0",
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"timestamp": "11/10/2022 17:55:55",
"content": "u . (u x v) = 0 and u . ( v x u ) = 0",
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"timestamp": "11/10/2022 17:57:18",
"content": "How did you get it in that form?",
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"timestamp": "11/10/2022 17:57:55",
"content": "I cancelled the last term by using that identity + the identity I mentioned",
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"timestamp": "11/10/2022 17:58:32",
"content": "v x w creates a vector orthogonal to w and v",
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"timestamp": "11/10/2022 17:58:41",
"content": "Where does it appear in this?",
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"timestamp": "11/10/2022 17:58:49",
"content": "and the dot product of two perpendicular vectors is 0",
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"timestamp": "11/10/2022 17:58:57",
"content": "expand the plus's",
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"timestamp": "11/10/2022 17:59:28",
"content": "(u1+u2) . (u3)=u1 . u3+u2 . u3",
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"timestamp": "11/10/2022 18:00:10",
"content": "Oh right!",
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"timestamp": "11/10/2022 18:01:09",
"content": "Thanks! Everything cancelled out except the expected answer.",
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"timestamp": "11/10/2022 18:01:36",
"content": "Nice",
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"timestamp": "11/10/2022 18:01:43",
"content": "sorry for getting confused at the start my bad",
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"author_id": 804401325042434000,
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"timestamp": "11/10/2022 18:02:02",
"content": "there is a lot of subjects like thi",
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"timestamp": "11/10/2022 18:02:02",
"content": "I guess that identity is related to the identity I mentioned too, since you can keep cycling u . (u x w) -> until you get w . (u x u) = w . 0 = 0.",
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"timestamp": "11/10/2022 18:02:15",
"content": "That's fine, I never heard about the index notation before.",
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"timestamp": "11/10/2022 18:02:32",
"content": "Thanks a lot for your help",
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"timestamp": "11/10/2022 18:02:38",
"content": "yeah excatly, the logic behind that identity is the fact that a cross product of two vectors produces a perpendicular vector",
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"content": "and a dot product of two perpendicular vectors is 0",
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"content": "That makes sense",
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"content": "I found my lin alg notes, which I've forgotten 😬",
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] | help-9 | 034e3f1b455d4076a8c7a2e5f803a395 |
201,525 | [
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"timestamp": "11/10/2022 18:38:09",
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"timestamp": "11/10/2022 18:43:30",
"content": "Need help with a simple math problem. It's been so long since I was in school. \n\nA+B+B=AC and A+C=8\nSolve for the variables.",
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"content": "There are many solutions",
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"content": "Is there any way to isolate any of these variables to a number?",
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"content": "You can eliminate C",
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"timestamp": "11/10/2022 19:00:21",
"content": "I tried eliminating C but I still got stuck",
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"timestamp": "11/10/2022 19:03:21",
"content": "The original question wants me to solve the equation so I can find the missing values for these unknown coordinates (N53 37.ABB W113 39.(AC)10) where A+B+B=AC and A+C=8\nNot sure if that helps make it any clearer. But they definitely want me to find an exact value.",
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"timestamp": "11/10/2022 19:15:01",
"content": "@Helpers",
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"timestamp": "11/10/2022 19:30:02",
"content": "@cms Has your question been resolved?",
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"content": "@cms Has your question been resolved?",
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] | help-9 | e28c5580342e4bf8b5ae362d3b7a5d86 |
201,526 | [
{
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"timestamp": "11/10/2022 20:37:09",
"content": "Available help channel!",
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"author_id": 468631848424046600,
"author_name": "Fiercewolff",
"timestamp": "11/10/2022 20:38:06",
"content": "In Taylor series, what difference does it make if I use a=0, a=1, a=2 and so on?",
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"id": 1040440595648352300,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "11/10/2022 20:39:28",
"content": "where the series is centered",
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"timestamp": "11/10/2022 20:39:58",
"content": "can you provide visuals to illustrate centering because im kinda confused",
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"timestamp": "11/10/2022 20:40:04",
"content": "ehh lets see",
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"timestamp": "11/10/2022 20:44:02",
"content": "no",
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"timestamp": "11/10/2022 20:44:03",
"content": "I cant",
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"author_name": "Zybikron",
"timestamp": "11/10/2022 20:44:04",
"content": "because the taylor polynomial (the series up to a certain degree) approximates the function at the center a",
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"timestamp": "11/10/2022 20:44:18",
"content": "ahh like tangent?",
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"timestamp": "11/10/2022 20:44:32",
"content": "right, the tangent is the taylor polynomial of degree 1",
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"author_name": "Zybikron",
"timestamp": "11/10/2022 20:44:55",
"content": "f(a) + f'(a)(x-a)",
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"author_name": "Zybikron",
"timestamp": "11/10/2022 20:45:29",
"content": "so the taylor polynomial can approximate it, as accurately as you want, at the center a.",
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"author_name": "Fiercewolff",
"timestamp": "11/10/2022 20:45:41",
"content": "Ohhh gets gets",
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"author_name": "Zybikron",
"timestamp": "11/10/2022 20:45:57",
"content": "if you use the whole infinite taylor series, then it is exactly the function everywhere (with some restrictions), so it doesn't matter much.",
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"author_name": "Mr. Gamer",
"timestamp": "11/10/2022 20:46:18",
"content": "This is why you can't construct the Taylor series at 0 for the logarithm",
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"timestamp": "11/10/2022 20:46:35",
"content": "?",
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"author_name": "Fiercewolff",
"timestamp": "11/10/2022 20:46:51",
"content": "cuz ln0 doesnt exist?",
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"timestamp": "11/10/2022 20:47:19",
"content": "Yes",
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"timestamp": "11/10/2022 20:47:26",
"content": "ok ty",
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"timestamp": "11/10/2022 20:47:29",
"content": ".close",
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"timestamp": "11/10/2022 20:47:30",
"content": "Channel closed",
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] | help-9 | b76545d63f024ee5b0b4d4775ba6bf94 |
201,527 | [
{
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/10/2022 21:04:06",
"content": "I haven't done problems that involve inverse trig yet",
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"timestamp": "11/10/2022 21:04:12",
"content": "so I'm a little lost on where to start",
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"timestamp": "11/10/2022 21:07:06",
"content": "tan^-1x the deriv of that is sec^2(x)",
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"timestamp": "11/10/2022 21:07:16",
"content": "oh wait",
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"timestamp": "11/10/2022 21:07:31",
"content": "nvm im not sur",
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"author_name": "Ninja8flash",
"timestamp": "11/10/2022 21:08:41",
"content": "Your gonna have to do integration by parts twice I believe",
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"timestamp": "11/10/2022 21:09:06",
"content": "u can integrate x and differentiate inverse tanx",
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"timestamp": "11/10/2022 21:09:17",
"content": "set up DI",
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"author_name": "Ninja8flash",
"timestamp": "11/10/2022 21:09:22",
"content": "Do you know the derivative of inverse tan(x)",
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"timestamp": "11/10/2022 21:19:12",
"content": "@Dr. Leonard McCoy Has your question been resolved?",
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"timestamp": "11/10/2022 21:20:25",
"content": "uhm, I got... $1/(1+x^2)$",
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"timestamp": "11/10/2022 21:20:27",
"content": "**Dr. Leonard McCoy**",
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"timestamp": "11/10/2022 21:21:00",
"content": "yeah",
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"timestamp": "11/10/2022 21:21:14",
"content": "so my second integral is....",
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"timestamp": "11/10/2022 21:22:01",
"content": "$\\int \\frac{x^2}{1+x^2}$",
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"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:22:27",
"content": "3/2?",
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"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:22:35",
"content": "how’d u get 3/2",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/10/2022 21:22:38",
"content": "yeah, there were some steps I didn't write here",
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"timestamp": "11/10/2022 21:22:58",
"content": "**Dr. Leonard McCoy**",
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"timestamp": "11/10/2022 21:23:01",
"content": "I'll just remove it though for clarity",
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"timestamp": "11/10/2022 21:23:07",
"content": "okay surez",
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"timestamp": "11/10/2022 21:23:09",
"content": "clarity/simplicity",
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"timestamp": "11/10/2022 21:23:16",
"content": "now u can see that if u have a +1 in the numerator",
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"timestamp": "11/10/2022 21:23:18",
"content": "it’ll just cancel",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:23:28",
"content": "but u can’t just add a +1 there right",
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"timestamp": "11/10/2022 21:23:33",
"content": "right",
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"id": 1040451689599209500,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:23:33",
"content": "so what u do",
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"id": 1040451709941592000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:23:38",
"content": "is make it +1 and subtract 1",
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"author_id": 1015619946451046400,
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"timestamp": "11/10/2022 21:23:42",
"content": "like nothing happened",
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"id": 1040451773485293600,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/10/2022 21:23:53",
"content": "I'm not sure I understand",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:24:26",
"content": "$\\int \\frac{x^2+1}{1+x^2} -\\frac{1}{1+x^2}$",
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"author_name": "TeXit",
"timestamp": "11/10/2022 21:24:28",
"content": "**Springsskateboard**",
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"timestamp": "11/10/2022 21:24:54",
"content": "is this fraction decomposition?",
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"timestamp": "11/10/2022 21:25:03",
"content": "it’s to cancel the first one",
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"author_name": "Springsskateboard",
"timestamp": "11/10/2022 21:25:16",
"content": "and the second fraction is alr super easy to integrate",
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"timestamp": "11/10/2022 21:25:21",
"content": "aren't you changing the value of the integral though",
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"timestamp": "11/10/2022 21:25:29",
"content": "cuz it’s just arctan",
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"timestamp": "11/10/2022 21:25:31",
"content": "no",
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"timestamp": "11/10/2022 21:25:35",
"content": "it’s the exact same",
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"content": "ooooh",
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"content": "nice",
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"timestamp": "11/10/2022 21:27:13",
"content": "will symbolab tell you if things are equal",
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"content": "ok cool, I found an equality checker",
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] | help-9 | e9360faca4324c33ab01cfced5a747a4 |
201,528 | [
{
"id": 1040454622994772000,
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"id": 1040455555191423000,
"author_id": 330789640602779650,
"author_name": "sytez",
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"content": "whats the different between a sample and a population in statisitcs?",
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"content": "theyre represented by different symbols yet they seem the same to me",
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"content": "their formulas for standard deviation are different",
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"content": "you can think of a sample as a smaller population",
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"timestamp": "11/10/2022 21:44:29",
"content": "because u can not 'sample' each individual of a population(its too hard) we take a sample of those individuals and perform the experiment",
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"content": "so a sample is just data of some amount of the population?",
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"content": "why is the formula for standard deviation different then?",
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"timestamp": "11/10/2022 21:46:27",
"content": "yea say u want to find the average salary of the us. you can;t ask every single person living in the US so u take a sample which would be less than the population",
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"content": "right that makes sense",
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"content": "but shouldnt the formula for standard deviation be the same then?",
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"content": "i don’t have a good answer to that. i just know that there aree 2 standard devations",
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"content": "hm",
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"timestamp": "11/10/2022 21:49:14",
"content": "https://math.stackexchange.com/questions/15098/sample-standard-deviation-vs-population-standard-deviation seems like the answer is kinda complicated...",
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"timestamp": "11/10/2022 21:51:57",
"content": "ah this makes perfect sense, thank you",
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] | help-9 | 04499990a8ff4baab50747a72c8ba26f |
201,529 | [
{
"id": 1033524278638952600,
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"timestamp": "10/22/2022 19:36:29",
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{
"id": 1033525853621063800,
"author_id": 468753834211016700,
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"content": "hi",
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"timestamp": "10/22/2022 19:42:54",
"content": "$1/2 (e^2) + 1/2 (e^-2)$",
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"timestamp": "10/22/2022 19:42:56",
"content": "**Flamindog12**",
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"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:43:34",
"content": "my question is the value of e. I never took the class but i got by with knowing how to do natural derivatives",
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"id": 1033526162103746600,
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"timestamp": "10/22/2022 19:43:59",
"content": "i just dont know how to find the numerical value of e when it is to the power of 2",
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"timestamp": "10/22/2022 19:44:17",
"content": "the question was originally cosh(2)",
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"timestamp": "10/22/2022 19:44:28",
"content": "$cosh(2)$",
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"timestamp": "10/22/2022 19:44:30",
"content": "**Flamindog12**",
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"timestamp": "10/22/2022 19:45:05",
"content": "i then later simplified it to",
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"id": 1033526447198965800,
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"timestamp": "10/22/2022 19:45:07",
"content": "$1/2 (e^2) + 1/2 (e^-2)$",
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"timestamp": "10/22/2022 19:45:09",
"content": "**Flamindog12**",
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"timestamp": "10/22/2022 19:45:13",
"content": "The question is just, evaluate cosh(2)?",
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"timestamp": "10/22/2022 19:45:27",
"content": "no its to find the numerical value",
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"timestamp": "10/22/2022 19:45:41",
"content": "can u not just use a calculator ?",
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"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:46:19",
"content": "i have an advanced calculator but how do i use it for e? let me see what my answer will by just using x",
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"id": 1033526794453782500,
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"timestamp": "10/22/2022 19:46:29",
"content": "e is just an irrational number",
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"timestamp": "10/22/2022 19:46:47",
"content": "if you have a ti 84 press alpha divide",
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"timestamp": "10/22/2022 19:46:59",
"content": "Yeah unless you're looking for a decimal estimate, this is pretty much the best you can do",
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"timestamp": "10/22/2022 19:47:05",
"content": "It's the exact value",
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"timestamp": "10/22/2022 19:47:44",
"content": "hmmm let me see if it works",
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"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:48:28",
"content": "i remember my TA saying there are values of e i need to remember and that e^0 is 1",
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"timestamp": "10/22/2022 19:48:42",
"content": "yeah thats the only value u gotta memorize",
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"id": 1033527400190967900,
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"author_name": "cantprogram",
"timestamp": "10/22/2022 19:48:54",
"content": "or maybe they meant the first like few digits?",
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"id": 1033527476552482800,
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"author_name": "cantprogram",
"timestamp": "10/22/2022 19:49:12",
"content": "and well n^0 is 1 where n != 0",
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"author_name": "tatpoj",
"timestamp": "10/22/2022 19:49:31",
"content": "And e^1 = e but that's not anything special either",
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"id": 1033527613421015200,
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"author_name": "tatpoj",
"timestamp": "10/22/2022 19:49:45",
"content": "Other than that I have no idea what your TA might be talking about",
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"id": 1033527981336961000,
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"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:51:12",
"content": "yeah im pretty sure its not gonna work lol. I see if any of the practice problems or videos will help but thanks guys",
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"timestamp": "10/22/2022 19:51:29",
"content": ".close",
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] | help-9 | 72c7a69b5e384de6bd34a155cda02fca |
201,530 | [
{
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"timestamp": "11/10/2022 21:53:01",
"content": "Available help channel!",
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"id": 1040459463137693700,
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"author_name": "DoubleG",
"timestamp": "11/10/2022 21:54:26",
"content": "Hi. What does it mean to find the zeros?",
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"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 21:55:51",
"content": "zeroes are values of z such that f(z)=0",
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"id": 1040460242611351600,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 21:57:32",
"content": "Oh ok",
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"id": 1040460323762733000,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 21:57:52",
"content": "I got z=0, -1 + i, -1 - i",
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"id": 1040460510610608100,
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"timestamp": "11/10/2022 21:58:36",
"content": "Those are the poles, right? Not the zeros",
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"id": 1040460629846282200,
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"timestamp": "11/10/2022 21:59:04",
"content": "Ah yeah, it looks like I'm mixing them up",
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"timestamp": "11/10/2022 21:59:49",
"content": "How would I find those values?",
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"timestamp": "11/10/2022 22:00:12",
"content": "f(z) will equal 0 when its numerator does",
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"author_id": 490649542077841400,
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"timestamp": "11/10/2022 22:00:25",
"content": "(and its denominator doesn't)",
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"content": "ohh",
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"id": 1040461160060817400,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 22:01:11",
"content": "Ahh",
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"author_name": "DoubleG",
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"content": "(z+2i)(z-2i)",
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"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 22:03:27",
"content": "Yep, that's a factored form of the numerator",
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"id": 1040461899256561700,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 22:04:07",
"content": "What if the numerator was 1, would there be any 0?",
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"id": 1040461938892734600,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 22:04:17",
"content": "or there has to be a variable?",
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"id": 1040462028948648000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 22:04:38",
"content": "Hm",
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"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/10/2022 22:04:43",
"content": "Can 1/x ever be equal to 0?",
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"id": 1040462243411808300,
"author_id": 760895173307138000,
"author_name": "DoubleG",
"timestamp": "11/10/2022 22:05:29",
"content": "no",
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"id": 1040462250349187100,
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"timestamp": "11/10/2022 22:05:31",
"content": "ahhh",
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"id": 1040462262978228400,
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"timestamp": "11/10/2022 22:05:34",
"content": "Right",
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"id": 1040462297103081500,
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"author_name": "DoubleG",
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"content": "Thank youuuuuu",
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{
"id": 1040462324017922000,
"author_id": 490649542077841400,
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"content": "No problem 👍",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 93fa8bec0cb04f3498ed8c8e06ea9b04 |
201,531 | [
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"content": "~~interpret it as a Riemann sum and make it an integral~~",
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"id": 1040464577512616100,
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"content": "not doing integral yet",
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"content": "F",
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"id": 1040465130640642000,
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"content": "yes",
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"timestamp": "11/10/2022 22:18:06",
"content": ",w expand (\\frac{9}{n}+\\frac{27a}{n^2})(\\frac{9a^2}{n}+\\frac{6a}{n}-1)",
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"id": 1040465646359674900,
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"content": "Results provided by WolframAlpha",
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"timestamp": "11/10/2022 22:19:14",
"content": "k something went wrong here",
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"author_name": "Civil Service Pigeon",
"timestamp": "11/10/2022 22:19:20",
"content": "I replaced a with i cause wolfram things",
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"id": 1040465984663867400,
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"content": "ah",
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"content": "i wrote 243 twice",
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"author_name": "Kaine",
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"content": "nope i forgot to multiply the n",
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"content": "ok let me see what i get",
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"content": "@Kaine Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | ce54c9ec7f39447484ef6caf8466e492 |
201,532 | [
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] | help-9 | 373f614c57d1444d9804ffc4670a0473 |
201,533 | [
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"content": "Use u subsitution",
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"content": "1/3",
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"content": "You sure you havent learned it?",
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"content": "Well, you could always split it into sqrt of 3 and sqrt x",
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"content": "Won’t I have to do integrations by parts then",
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"content": "Nah, you can just move a constant out of an integral",
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"timestamp": "11/11/2022 00:21:24",
"content": "Oh",
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"id": 1040496451391860700,
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"timestamp": "11/11/2022 00:21:25",
"content": "Dot",
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"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:21:29",
"content": "And you learned by parts before u sub?",
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"content": "Weird lol",
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"timestamp": "11/11/2022 00:22:12",
"content": "We haven’t learned by parts either",
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"timestamp": "11/11/2022 00:22:19",
"content": "That’s why I don’t want to do it",
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"id": 1040496692467871700,
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"timestamp": "11/11/2022 00:22:22",
"content": "😝",
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"content": "Oh",
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"timestamp": "11/11/2022 00:34:38",
"content": "Well this is the whole question",
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"content": "So",
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"content": "The derivative",
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"id": 1040500023303077900,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:35:37",
"content": "That’s my work",
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"timestamp": "11/11/2022 00:35:40",
"content": "https://media.discordapp.net/attachments/1032690372125663305/1040492380253605959/6FB98668-0003-4036-A671-E266CB8AC796.jpg",
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"id": 1040500067167129600,
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"timestamp": "11/11/2022 00:35:47",
"content": "That is my friend’s work",
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"author_id": 552623628131237900,
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"timestamp": "11/11/2022 00:36:02",
"content": "The stuff above the line",
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"timestamp": "11/11/2022 00:36:12",
"content": "What did I do wrong",
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"timestamp": "11/11/2022 00:36:33",
"content": "Or he",
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"timestamp": "11/11/2022 00:38:35",
"content": "@InfinityMango",
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"author_name": "Penguin",
"timestamp": "11/11/2022 00:42:47",
"content": "you will notice i did",
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"timestamp": "11/11/2022 00:42:53",
"content": "Oh, im blins",
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"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:42:53",
"content": "but my answers varies",
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"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:43:16",
"content": "who is right and wrong",
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},
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"id": 1040502356455985200,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:44:53",
"content": "i have a feeling my friend got the last step wrong",
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"author_name": "Penguin",
"timestamp": "11/11/2022 00:44:59",
"content": "bc idk from where he pulled a cube root",
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"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:45:25",
"content": "You are",
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"id": 1040502516598706200,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:45:31",
"content": "i'm wrong",
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"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:45:36",
"content": "where did he pull he cube rot",
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"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:45:44",
"content": "Shouldnt be cube root",
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"id": 1040502605132079100,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:45:52",
"content": "so i am right?",
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"id": 1040502610442059800,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:45:53",
"content": "Is 16 cubed",
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"id": 1040502649281319000,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:46:03",
"content": "And the square root of that",
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"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:06",
"content": "yeah",
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"id": 1040502674564599900,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:09",
"content": "not cube root",
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{
"id": 1040502703287193600,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:16",
"content": "he did 16^(2/3)",
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"id": 1040502735956607000,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:23",
"content": "rather than 16^(3/2)",
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"id": 1040502753321029600,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:46:27",
"content": "You did it right",
"attachments": [],
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},
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"id": 1040502821306515500,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:44",
"content": "so my giant fraction is the correct one",
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"id": 1040502829552500700,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:46:46",
"content": "Just simplify",
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"id": 1040502841879576600,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:46:49",
"content": "Yup",
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"id": 1040502885999456300,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:46:59",
"content": "so",
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},
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"id": 1040502953515172000,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:47:15",
"content": "126/(15(sqrt3))",
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"id": 1040503076110487600,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:47:44",
"content": "Yup, but you can simplify further",
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"id": 1040503268209590300,
"author_id": 169597306654425100,
"author_name": "InfinityMango",
"timestamp": "11/11/2022 00:48:30",
"content": "42/5",
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},
{
"id": 1040503406189613000,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:49:03",
"content": "ok",
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},
{
"id": 1040503412850180100,
"author_id": 552623628131237900,
"author_name": "Penguin",
"timestamp": "11/11/2022 00:49:05",
"content": "thanks",
"attachments": [],
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},
{
"id": 1040507188336144500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:04:05",
"content": "@Penguin Has your question been resolved?",
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"timestamp": "11/11/2022 01:04:31",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | dbb375bbde644fca81a41abb4d4e7d06 |
201,534 | [
{
"id": 1040507549243416600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:05:31",
"content": "Available help channel!",
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},
{
"id": 1040512427244142600,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "11/11/2022 01:24:54",
"content": "hi guys",
"attachments": [],
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},
{
"id": 1040512429433565200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:24:54",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1040512461557743600,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "11/11/2022 01:25:02",
"content": "I need some really simple help",
"attachments": [],
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},
{
"id": 1040512668794101800,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "11/11/2022 01:25:52",
"content": "if there are 2 parenthesis such as this:\n\n(k * c+p) * (l * c + Q) \n\nhow do I multiply them by each other? what is the rule?",
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{
"id": 1040513281351237600,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "11/11/2022 01:28:18",
"content": "@Helpers 🙏",
"attachments": [],
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},
{
"id": 1040517057202102400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:43:18",
"content": "@deflect Has your question been resolved?",
"attachments": [],
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"id": 1040517990891921400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:47:00",
"content": "repeated applications of FOIL",
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"content": "",
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"id": 1040518550529511400,
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"timestamp": "11/11/2022 01:49:14",
"content": "thanks 🙏",
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"id": 1040518557232009300,
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"author_name": "deflect",
"timestamp": "11/11/2022 01:49:15",
"content": ".close",
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},
{
"id": 1040518559803134000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:49:16",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | a67eb0f707f54010b24d2371ad2b324f |
201,535 | [
{
"id": 1040518812296032300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 01:50:16",
"content": "Available help channel!",
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},
{
"id": 1040519425448738800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:52:42",
"content": "How does the series sin(n!epi) converge\nit seems very wrong, the sin should just keep oscillating\ncan someone explain in intutive terms why the product n! * e allows sin to stabalize around 0",
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},
{
"id": 1040519427805941800,
"author_id": 805217272087838700,
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"timestamp": "11/11/2022 01:52:43",
"content": "Pinned a message.",
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{
"id": 1040519660002615300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:53:38",
"content": "https://math.stackexchange.com/questions/2419113/proving-the-series-sum-n-0-infty-sine-pi-n-converges",
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},
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"id": 1040519790902661100,
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:10",
"content": "i know the solution",
"attachments": [],
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:20",
"content": "but i want the intuition",
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},
{
"id": 1040519868895731700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:28",
"content": "if the e was gone the series would diverge?",
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},
{
"id": 1040519914445885400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:54:39",
"content": "define \"gone\"",
"attachments": [],
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},
{
"id": 1040519921639112800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:41",
"content": "how can such a tiny term affect n!",
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},
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"id": 1040519951762587800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:48",
"content": "sin(n!pi)",
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"id": 1040519961489178600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:54:50",
"content": "diverges?",
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},
{
"id": 1040520011518849000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:55:02",
"content": "try calculating the first few terms",
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},
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"id": 1040520015373418500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:03",
"content": "ah no thats just 0",
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{
"id": 1040520029931843700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:07",
"content": "lol",
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},
{
"id": 1040520124651811000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:29",
"content": "if it was 2.5 instead of e",
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},
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"id": 1040520150115434600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:35",
"content": "or any other number",
"attachments": [],
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},
{
"id": 1040520167081390100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:39",
"content": "it wouldve worked as well?",
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},
{
"id": 1040520212186923000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/11/2022 01:55:50",
"content": "i think it should be pretty clear for any rational number",
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},
{
"id": 1040520242050371600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:55:57",
"content": "I want to understand the relationship between e and n!",
"attachments": [],
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},
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"id": 1040520280440836200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:56:06",
"content": "did you read the proof?",
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"id": 1040520299420074000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:56:11",
"content": "do you know the definition of e?",
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"id": 1040520308253274100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:56:13",
"content": "e= sum 1/n!?",
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{
"id": 1040520347088335000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:56:22",
"content": "yeah i know that one",
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},
{
"id": 1040520369573994500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:56:28",
"content": "but i mean n! *e",
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},
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"timestamp": "11/11/2022 01:56:37",
"content": "that it converges as well?",
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"timestamp": "11/11/2022 01:56:42",
"content": "yea",
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"timestamp": "11/11/2022 01:56:50",
"content": "as in if you replace e with a rational number",
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"content": "yeah",
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"timestamp": "11/11/2022 01:56:58",
"content": "how tho?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/11/2022 01:57:04",
"content": "the terms will eventually be 0",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:57:07",
"content": "isnt the sin supposed to be oscillating",
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"content": "why?",
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"timestamp": "11/11/2022 01:57:13",
"content": "n! * a / b is eventually an integer",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:57:19",
"content": "sin(infinity) isnt defined",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/11/2022 01:57:19",
"content": "that",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:57:29",
"content": "neither is sin(pi infinity)",
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"timestamp": "11/11/2022 01:57:38",
"content": "how",
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"timestamp": "11/11/2022 01:57:39",
"content": "nobody's calculating sin(infinity )",
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"timestamp": "11/11/2022 01:57:49",
"content": "this is exactly what i want to get",
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"author_name": "riemann",
"timestamp": "11/11/2022 01:57:53",
"content": "do you know the definition of n!?",
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"timestamp": "11/11/2022 01:58:01",
"content": "n*n-1*..",
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"author_name": "riemann",
"timestamp": "11/11/2022 01:58:02",
"content": "write out n! for n >= b",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:58:17",
"content": "n(n-1)..1",
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"timestamp": "11/11/2022 01:58:25",
"content": "no",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:58:40",
"content": "ah sry i thought you meant something else",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:58:58",
"content": "what happens to n! * a / b when n >= b?",
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"id": 1040521004339970000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:58:59",
"content": "this?",
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"id": 1040521063366414300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/11/2022 01:59:13",
"content": "is it an integer?",
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"id": 1040521183017304000,
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:59:41",
"content": "yeah",
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"id": 1040521230740103200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 01:59:53",
"content": "yes it is",
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"author_name": "riemann",
"timestamp": "11/11/2022 01:59:57",
"content": "then you're basically back to this case",
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"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 02:00:01",
"content": "right",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 02:00:11",
"content": "ok so our problem was that it was an irrational number",
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"id": 1040521385367314400,
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"timestamp": "11/11/2022 02:00:30",
"content": "got it",
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},
{
"id": 1040521408335323300,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "11/11/2022 02:00:35",
"content": "thank you sm",
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"timestamp": "11/11/2022 02:00:59",
"content": ".close",
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"timestamp": "11/11/2022 02:01:00",
"content": "Channel closed",
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] | help-9 | ca6ef8aa0b7541ab9d9bfd4ba6236864 |
201,536 | [
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] | help-9 | 45c2afc396424419a1628f935ad7caa9 |
201,537 | [
{
"id": 1040530801328132100,
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"content": "Available help channel!",
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"id": 1040534113783926800,
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"timestamp": "11/11/2022 02:51:04",
"content": "Is this function restricted at (-inf, 6)?",
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"timestamp": "11/11/2022 02:52:25",
"content": "well, when x is -inf",
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"timestamp": "11/11/2022 02:52:42",
"content": "what do you get under the root sign",
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"content": "positive",
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"content": "what happens if x > 6?",
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"timestamp": "11/11/2022 02:54:44",
"content": "if x>6 this equation will become imaginary",
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"timestamp": "11/11/2022 02:55:15",
"content": "yes",
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"content": "if x=6 its undefined",
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"timestamp": "11/11/2022 02:55:51",
"content": "what does it mean when its imaginary?",
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"content": "if its greater than 6 you take the square root of negative number",
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"content": "imaginary numbers are square root of negative number",
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"content": "in order to take square root of negative you need i which means its imaginary",
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"timestamp": "11/11/2022 02:57:17",
"content": "ok thanks for making that clear",
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"content": ".close",
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] | help-9 | 30e839eac46543ccb1082268d169055c |
201,538 | [
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"timestamp": "11/11/2022 03:03:17",
"content": "Am I right in saying there are two points that can satisfy this question, one in the 1 st quadrant and one in the 2nd quadrant",
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"content": "@CaliforniaRoll Has your question been resolved?",
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"content": "@Helpers",
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"id": 1040544351345967100,
"author_id": 288384839663616000,
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"timestamp": "11/11/2022 03:31:45",
"content": "1, 4",
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"timestamp": "11/11/2022 03:33:11",
"content": "2,4 I think",
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"author_name": "CaliforniaRoll",
"timestamp": "11/11/2022 03:33:20",
"content": "Also so there’s two answers?",
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"timestamp": "11/11/2022 03:34:56",
"content": "oh yeah sorry my bad",
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"timestamp": "11/11/2022 03:34:58",
"content": "im blind",
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"id": 1040545168274755600,
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"timestamp": "11/11/2022 03:35:00",
"content": "its 2, 4",
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"timestamp": "11/11/2022 04:29:20",
"content": ".resolve",
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"timestamp": "11/11/2022 05:29:21",
"content": "@CaliforniaRoll Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 3c425f5216c94b91bbcdf99d5f590155 |
201,539 | [
{
"id": 1040591645512568800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 06:39:41",
"content": "Available help channel!",
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},
{
"id": 1040592455910830100,
"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 06:42:54",
"content": "Hello, How can I start this question?",
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"timestamp": "11/11/2022 06:42:55",
"content": "Pinned a message.",
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"timestamp": "11/11/2022 06:57:55",
"content": "@ether Has your question been resolved?",
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:04:40",
"content": "@ether you can take the cosine on both sides",
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:04:54",
"content": "because cos(arcos(y)) = y",
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},
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"id": 1040598030577061900,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:05:03",
"content": "it doesn'\"t work the other way around tho",
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},
{
"id": 1040598063850459100,
"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 07:05:11",
"content": "ah",
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},
{
"id": 1040598285859160200,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:06:04",
"content": "so here when you take the cosine on both sides you get cosx = cos(pi-(2pix^2)/pi)",
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"timestamp": "11/11/2022 07:06:25",
"content": "cos(pi-y) = -cos(y)",
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:07:08",
"content": "so in cos(x) = -cos((2pix^2)/pi)",
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},
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"id": 1040598812210765800,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:08:10",
"content": "and then I think you should know how to solve it",
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"author_name": "ether",
"timestamp": "11/11/2022 07:08:41",
"content": "does this seem right",
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"timestamp": "11/11/2022 07:08:48",
"content": "yea that's great",
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"id": 1040599054175973400,
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"author_name": "ether",
"timestamp": "11/11/2022 07:09:07",
"content": "we arccos everything now?",
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"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 07:09:19",
"content": "so x = pi - 2x^2/pi ?",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:09:19",
"content": "no no no",
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"author_name": "ether",
"timestamp": "11/11/2022 07:09:23",
"content": "ah",
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},
{
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:09:47",
"content": "cause cos(arcos(x)) = x but arccos(cos(x)) isn't equal to x",
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"timestamp": "11/11/2022 07:09:57",
"content": "I'll give you an example",
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"timestamp": "11/11/2022 07:11:04",
"content": "arccos(cos(0)) = 0 and arccos(cos(2pi))=0",
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:11:14",
"content": "and 2pi isn't equal to zero",
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},
{
"id": 1040599912531886100,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:12:32",
"content": "but since arccos only gives you numbers in [0:pi], cos(arccos(x)) will always be true",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:12:45",
"content": "so to come back to your thing",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:13:19",
"content": "now you can say that x = pi - 2x^2/pi +2kpi with k an integer",
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"id": 1040600157726715900,
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:13:31",
"content": "do you see why we're adding a 2kpi there?",
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"id": 1040600266434687000,
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"author_name": "ether",
"timestamp": "11/11/2022 07:13:56",
"content": "ye bcos cos*x* is not the same as *x^2*",
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"timestamp": "11/11/2022 07:14:42",
"content": "no it's cause since cosine is periodic every 2pi the values are the same",
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"author_name": "ether",
"timestamp": "11/11/2022 07:14:57",
"content": "ah lmao forgot about that",
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"id": 1040600539932667900,
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"author_name": "ether",
"timestamp": "11/11/2022 07:15:02",
"content": "but ye",
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{
"id": 1040600546681311200,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:15:03",
"content": "so like cos(0) = cos(2pi) = cos(4pi)",
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"id": 1040600549206278100,
"author_id": 295158535631667200,
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"timestamp": "11/11/2022 07:15:04",
"content": "etc",
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},
{
"id": 1040600599537913900,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:15:16",
"content": "so you have to add a 2kpi behind with k an integer",
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"timestamp": "11/11/2022 07:15:25",
"content": "and the you just solve your polynomial",
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"timestamp": "11/11/2022 07:15:26",
"content": "do i say that I arccos'd the cosx from before",
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"timestamp": "11/11/2022 07:15:54",
"content": "no cause it's not an arccos",
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"timestamp": "11/11/2022 07:16:05",
"content": "when you have cos(x) = cos(y)",
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"timestamp": "11/11/2022 07:16:13",
"content": "you can say that x = y +2kpi",
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"timestamp": "11/11/2022 07:16:32",
"content": "but we didn't that the arccos on both sides",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:16:54",
"content": "we used the property that cos(x) = cos(y) => x = y +2kpi",
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"author_name": "ether",
"timestamp": "11/11/2022 07:16:55",
"content": "",
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"timestamp": "11/11/2022 07:17:01",
"content": "ight",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:17:01",
"content": "yep",
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"id": 1040601049565757600,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:17:03",
"content": "exactly",
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"id": 1040601122743779300,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:17:21",
"content": "and now you solve your quadradic equation",
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"id": 1040601159183900700,
"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 07:17:29",
"content": "should i be getting pi^2?",
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},
{
"id": 1040601212761948300,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:17:42",
"content": "as a solution?",
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},
{
"id": 1040601338318426100,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:18:12",
"content": "it might be a solution but in fact you have an infinite amount of solutiuons",
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"id": 1040601350767116400,
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"author_name": "ether",
"timestamp": "11/11/2022 07:18:15",
"content": "when im expanding",
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},
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"author_id": 295158535631667200,
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"timestamp": "11/11/2022 07:18:18",
"content": "since k is an integer",
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},
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"id": 1040601415753683000,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:18:30",
"content": "hmm",
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},
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"id": 1040601456937550000,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:18:40",
"content": "start by putting everything on the same side",
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"timestamp": "11/11/2022 07:18:54",
"content": "and you know that pi + 2kpi is a constant",
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"timestamp": "11/11/2022 07:19:14",
"content": "",
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"id": 1040601722793496600,
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:19:44",
"content": "yea okay why not thats good",
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},
{
"id": 1040601754561163300,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:19:51",
"content": "now you can multiply by minus one if you want",
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"id": 1040601788514062500,
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"timestamp": "11/11/2022 07:19:59",
"content": "It'll simplify everything a bit",
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},
{
"id": 1040601878347644900,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:20:21",
"content": "and then you can use the formula",
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"timestamp": "11/11/2022 07:20:23",
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"author_name": "ether",
"timestamp": "11/11/2022 07:20:49",
"content": "yhyh or cts?",
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"id": 1040602026293330000,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:20:56",
"content": "cts?",
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{
"id": 1040602102268973000,
"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 07:21:14",
"content": "completing the square",
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"id": 1040602142152609800,
"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:21:24",
"content": "ohh yea if you want",
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},
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"id": 1040602186691903500,
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:21:34",
"content": "aight hope it helped",
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},
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"author_id": 295158535631667200,
"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:21:40",
"content": "imma have to peace out",
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"author_name": "ether",
"timestamp": "11/11/2022 07:21:45",
"content": "it did, thank you ❤️",
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"author_name": "OutstandinG Move",
"timestamp": "11/11/2022 07:21:56",
"content": ":DDD",
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"id": 1040602276789747800,
"author_id": 455383852484001800,
"author_name": "ether",
"timestamp": "11/11/2022 07:21:56",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 07:21:56",
"content": "Channel closed",
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}
] | help-9 | 9567d8be897c48a7adad5e85a48b7da4 |
201,540 | [
{
"id": 1033528107598094300,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/22/2022 19:51:42",
"content": "Oh, just use a calculator",
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},
{
"id": 1033528116934623200,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:51:45",
"content": "just put that answer into ur calculator and round to 5dp",
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"author_name": "cantprogram",
"timestamp": "10/22/2022 19:51:50",
"content": "thats all its asking lol",
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},
{
"id": 1033528151562789000,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:51:53",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 1033528155429933000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 19:51:54",
"content": "✅",
"attachments": [],
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},
{
"id": 1033528199528861800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/22/2022 19:52:04",
"content": ",calc cosh(2)",
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},
{
"id": 1033528200879411300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/22/2022 19:52:05",
"content": "Result:\n```\n3.7621956910836\n```",
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},
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"id": 1033528210908000400,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:52:07",
"content": "im dumb how do i do this in a calc",
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"id": 1033528241069228000,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:52:14",
"content": "what calculator do u have",
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},
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"id": 1033528371830862000,
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"author_name": "Flamindog12",
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"content": "",
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"id": 1033528531088584700,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:53:23",
"content": "shift + ln",
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},
{
"id": 1033528614840438900,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:53:43",
"content": "never used a casio but im assuming thats it",
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},
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"id": 1033528731584704500,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:54:11",
"content": "huh it worked. but my professor doesnt allow calculators in quizzes or exams anyway of doing it on paper?",
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"id": 1033528857455755400,
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"author_name": "cantprogram",
"timestamp": "10/22/2022 19:54:41",
"content": "not really unless ur gonna spend hours on a simple question",
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},
{
"id": 1033528982806745100,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:55:11",
"content": "i guess you could approx e as 2.718 and go from there",
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},
{
"id": 1033529035281662100,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:55:24",
"content": "but if its asking for 5dp only real way is using a calc",
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},
{
"id": 1033529107184627700,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:55:41",
"content": "What is 5dp?",
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},
{
"id": 1033529245995110400,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:56:14",
"content": "5 decimal places",
"attachments": [],
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"reference": null
},
{
"id": 1033529293231362000,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:56:25",
"content": "I honest to goodness miss the whole week of school but by just memorizing the derivatives of the hyperbolic trig functions I got by till this question lol",
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},
{
"id": 1033529359836917900,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:56:41",
"content": "Gotcha",
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"id": 1033529447984410600,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:57:02",
"content": "Well thanks a lot guys",
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},
{
"id": 1033529474282684500,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:57:08",
"content": "Can I close it now?",
"attachments": [],
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},
{
"id": 1033529487654125700,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:57:11",
"content": "yeah",
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},
{
"id": 1033529494088196200,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "10/22/2022 19:57:13",
"content": "gl",
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},
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"id": 1033529510999642100,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:57:17",
"content": "Thanks",
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},
{
"id": 1033529527122538500,
"author_id": 468753834211016700,
"author_name": "Flamindog12",
"timestamp": "10/22/2022 19:57:21",
"content": ".close",
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},
{
"id": 1033529530402484200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 19:57:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
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}
] | help-9 | d9dd608417ca4cf7b07ef531a7b8b306 |
201,541 | [
{
"id": 1040603234512937000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 07:25:44",
"content": "Available help channel!",
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"id": 1040605138412372100,
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"author_name": "Mathematics Bot",
"timestamp": "11/11/2022 07:33:19",
"content": "Pinned a message.",
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"id": 1040605682371670000,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:35:28",
"content": "It's actually pretty simple",
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"author_id": 853871467565678600,
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"timestamp": "11/11/2022 07:36:21",
"content": "I recommend you use the math app that Microsoft has",
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"id": 1040606009917456400,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/11/2022 07:36:46",
"content": ">pretty simple\n>use math app\nlmao",
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"id": 1040606150133030900,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:37:19",
"content": "oki ):",
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"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:37:25",
"content": "so you dont know it?",
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},
{
"id": 1040606232425283600,
"author_id": 690565926860357600,
"author_name": "Jelle",
"timestamp": "11/11/2022 07:37:39",
"content": "the answer isn't correct",
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"id": 1040606247851933700,
"author_id": 942806041282875500,
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"timestamp": "11/11/2022 07:37:43",
"content": "oh",
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{
"id": 1040606252549558300,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:37:44",
"content": "Of course I do it's simple",
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"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:37:57",
"content": "mind walking me though it?",
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{
"id": 1040606381255954600,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:38:14",
"content": "i would use that math app if i could",
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{
"id": 1040606411773718500,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:38:22",
"content": "but im not allowed",
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{
"id": 1040606467872534500,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:38:35",
"content": "Hmm and why is that?",
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},
{
"id": 1040606521794511000,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:38:48",
"content": "parents",
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},
{
"id": 1040606552085766100,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:38:55",
"content": "lol",
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},
{
"id": 1040606600261537800,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:39:07",
"content": "Uninstall it after you use it simple honestly",
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},
{
"id": 1040606667160699000,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:39:22",
"content": "oki what does it look like?",
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},
{
"id": 1040606690262929400,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:39:28",
"content": "Are you in 8th grade or 9th?",
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},
{
"id": 1040606710575927400,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:39:33",
"content": "11th",
"attachments": [],
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},
{
"id": 1040606724589113300,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:39:36",
"content": "LOL",
"attachments": [],
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},
{
"id": 1040606741173370900,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:39:40",
"content": "algebra 2",
"attachments": [],
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},
{
"id": 1040606741953519600,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:39:40",
"content": "Damn",
"attachments": [],
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{
"id": 1040606773901545600,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:39:48",
"content": "i hate it lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1040606831569031200,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:40:02",
"content": "i got a 96% in like every other class",
"attachments": [],
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},
{
"id": 1040606853207445500,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:40:07",
"content": "Oh right I'm from the Philippines :KEK:",
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},
{
"id": 1040606855858237400,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:40:07",
"content": "but math",
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},
{
"id": 1040606908853256300,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:40:20",
"content": "Straight A student?",
"attachments": [],
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},
{
"id": 1040606915278938200,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:40:22",
"content": "im from the states",
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},
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"id": 1040606945788301300,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:40:29",
"content": "yep but math LOL",
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"id": 1040606962192224400,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:40:33",
"content": "I figured",
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{
"id": 1040607043750473900,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:40:52",
"content": "i got a A in math atm",
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},
{
"id": 1040607116286771200,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:41:10",
"content": "Damn",
"attachments": [],
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"reference": null
},
{
"id": 1040607152458444800,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:41:18",
"content": "I wish our grading system runs that way here",
"attachments": [],
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},
{
"id": 1040607177171279900,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:41:24",
"content": "but just barley LOL",
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},
{
"id": 1040607193155780700,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/11/2022 07:41:28",
"content": "I would recommend looking up polynomial division, if you want to be able to do it without electronic help",
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"id": 1040607246356324400,
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"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:41:41",
"content": "oki",
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"id": 1040607305131106300,
"author_id": 942806041282875500,
"author_name": "SusModdsRoblox",
"timestamp": "11/11/2022 07:41:55",
"content": "btw what grades yall in?",
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"id": 1040607317164572800,
"author_id": 853871467565678600,
"author_name": "Papa Ruki",
"timestamp": "11/11/2022 07:41:57",
"content": "If I were from the states I would have been a straight A student",
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"id": 1040607360105857000,
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"timestamp": "11/11/2022 07:42:08",
"content": "lol",
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"timestamp": "11/11/2022 07:42:22",
"content": "Im on 9th",
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"content": "ooo and how old are you?",
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"timestamp": "11/11/2022 07:42:41",
"content": "Freshman at university, I guess it's equivalent to?",
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"content": "16 :KEK: :KEK:",
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"timestamp": "11/11/2022 07:42:56",
"content": "im a Juinor",
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"content": "bruhhhhhh im 16 LOL",
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"timestamp": "11/11/2022 07:43:06",
"content": "Same here",
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"content": "thats my grade in math lol",
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"content": "barley an A",
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"timestamp": "11/11/2022 07:43:48",
"content": "My mom would be disappointed if she saw that grade",
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"content": "lol",
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"timestamp": "11/11/2022 07:43:58",
"content": "We don't really have the same system for college here as you do in the US",
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"content": "ye",
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"timestamp": "11/11/2022 07:44:09",
"content": "Yeah",
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"timestamp": "11/11/2022 07:44:23",
"content": "But I'm currently doing a bachelors in actuarial mathematics",
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"timestamp": "11/11/2022 07:44:24",
"content": "In here the passing grade is 80%",
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"timestamp": "11/11/2022 07:44:27",
"content": "If that helps narrow it down",
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"timestamp": "11/11/2022 07:44:51",
"content": "is it this?",
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"timestamp": "11/11/2022 07:44:56",
"content": "Yep",
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"timestamp": "11/11/2022 07:45:02",
"content": "kk cool",
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"timestamp": "11/11/2022 07:45:04",
"content": "btw",
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"timestamp": "11/11/2022 07:45:11",
"content": "what age can you drive there?",
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"timestamp": "11/11/2022 07:45:29",
"content": "18",
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"timestamp": "11/11/2022 07:45:34",
"content": "LOL",
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"timestamp": "11/11/2022 07:45:46",
"content": "Same here",
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"timestamp": "11/11/2022 07:45:48",
"content": "i got a car rn and im driving",
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"timestamp": "11/11/2022 07:46:01",
"content": "Damn I don't even know how to drive",
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"timestamp": "11/11/2022 07:46:05",
"content": "LOL",
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"timestamp": "11/11/2022 07:46:13",
"content": "i got my permit when i was 15",
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"timestamp": "11/11/2022 07:46:19",
"content": "then my licence at 16",
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"content": "im almost 17",
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"timestamp": "11/11/2022 07:46:36",
"content": "Well here permit 18 license I think the same day",
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"content": "wow",
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"timestamp": "11/11/2022 07:47:03",
"content": "oki im gonna try using the app rn and i will tell you how it goes",
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"timestamp": "11/11/2022 07:47:11",
"content": "Sure go ahead",
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"timestamp": "11/11/2022 07:47:41",
"content": "You can get your permit here at age 16, but it's required for you to have someone in the car who has had a license for at least 15 years (I think it is), if you want to drive before turning 18.",
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"timestamp": "11/11/2022 07:47:41",
"content": "I'm struggling most with my history rn",
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"timestamp": "11/11/2022 07:48:15",
"content": "My grade in history is 87%:NervousSweat: :NervousSweat:",
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"timestamp": "11/11/2022 07:48:37",
"content": "That's first quarter",
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"timestamp": "11/11/2022 07:49:55",
"content": "You should close it",
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"content": ".close",
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"timestamp": "11/11/2022 07:51:30",
"content": "bruh were is the answer",
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"content": "will soon lol",
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"content": "@Mikkel ?",
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"content": "it never told me the answer",
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"content": "I can't really explain polynomial division well over the Discord chat format, so watch this video if you want an understanding of it",
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] | help-9 | ba11da42d5514408b7ec06514b74274f |
201,542 | [
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"content": "@Yousssef Has your question been resolved?",
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"content": "@Yousssef Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | dc8e69b5fcff462a88ef24cdcde06600 |
201,543 | [
{
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] | help-9 | 250bb84fc8364951b3125d6edbd7fd9a |
201,544 | [
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] | help-9 | 67d80b0b29dc4a2abb8234a52ddca647 |
201,545 | [
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"content": "how can I start a) ii)",
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"timestamp": "11/11/2022 10:22:52",
"content": "it low key make no sense anymore",
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"content": "@ether Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | c53cc49f03f04c9bb8417f6661d30395 |
201,546 | [
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] | help-9 | 8e168dd5b7f745b1af38db1b529beeb7 |
201,547 | [
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"author_id": 744961778311757800,
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"timestamp": "11/11/2022 11:24:49",
"content": "how can i rearrange for T",
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"author_id": 858135822389346300,
"author_name": "SunSweeper",
"timestamp": "11/11/2022 11:32:11",
"content": "Add (R_a) ... / K1c to both sides",
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"timestamp": "11/11/2022 11:32:20",
"content": "done",
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"id": 1040665301794164900,
"author_id": 858135822389346300,
"author_name": "SunSweeper",
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"content": "Multiply both sides by sqrt(k1/c)/vt",
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"timestamp": "11/11/2022 11:32:35",
"content": "then flip everything",
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"timestamp": "11/11/2022 11:32:43",
"content": "2min",
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"author_id": 858135822389346300,
"author_name": "SunSweeper",
"timestamp": "11/11/2022 11:32:49",
"content": "or alternatively multiply both sides by sqrt(tind)",
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"id": 1040665467217514600,
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"timestamp": "11/11/2022 11:33:02",
"content": "can u show me result",
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"id": 1040665570430963700,
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"author_name": "SunSweeper",
"timestamp": "11/11/2022 11:33:26",
"content": "What do you have so far",
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"timestamp": "11/11/2022 11:35:10",
"content": "thats",
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"id": 1040666126532743300,
"author_id": 744961778311757800,
"author_name": "Amir.1508",
"timestamp": "11/11/2022 11:35:39",
"content": "if u can help me finish i be forever grateful",
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"timestamp": "11/11/2022 11:35:45",
"content": "@SunSweeper dir",
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"content": "Flip both sides and square it",
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"content": "The LHS becomes 1/(old LHS)",
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"author_name": "Amir.1508",
"timestamp": "11/11/2022 11:37:35",
"content": "thats where ill get it wrorng imo",
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"id": 1040666680344445000,
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"timestamp": "11/11/2022 11:37:51",
"content": "i tried online calc n it diddnt help",
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"timestamp": "11/11/2022 11:38:03",
"content": "It's gonna be messy, probably can simplify LHS after flipping",
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"id": 1040666778780586100,
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"timestamp": "11/11/2022 11:38:14",
"content": "can u dm me it",
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"id": 1040666816088899800,
"author_id": 744961778311757800,
"author_name": "Amir.1508",
"timestamp": "11/11/2022 11:38:23",
"content": "so i can be sure its right",
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"id": 1040667748142956700,
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"author_name": "SunSweeper",
"timestamp": "11/11/2022 11:42:05",
"content": "I'm going to sleep now, you can check using wolfram alpha",
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"timestamp": "11/11/2022 11:42:15",
"content": "is it that",
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"timestamp": "11/11/2022 11:42:21",
"content": "@SunSweeper",
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"timestamp": "11/11/2022 11:43:32",
"content": "plz help",
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"timestamp": "11/11/2022 11:58:32",
"content": "@Amir.1508 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 29b5d99118d546b38435f480ed9d6b32 |
201,548 | [
{
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"content": "Available help channel!",
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"id": 1040679623610077200,
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"content": "Pinned a message.",
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"timestamp": "11/11/2022 12:29:46",
"content": "I’m not sure why it’s transformation is from R^n to R^m?",
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"author_name": "ZTmat",
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"content": "Also what’s the reason that T must satisfy the above in order for it to be a linear transformation? Because it satisfies the field axioms?",
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"timestamp": "11/11/2022 12:31:27",
"content": "Why not?",
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"author_name": "iCaird",
"timestamp": "11/11/2022 12:31:45",
"content": "As in what's wrong with a function from R^n to R^m for you?",
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"author_name": "Denascite",
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"content": "in a vector space (which R^n and R^m are) we have two structures: vector addition and scalar multiplication",
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"content": "if T satisfies that property, it means that it respects both of these structures",
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"timestamp": "11/11/2022 12:33:21",
"content": "which turns out is super useful",
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"timestamp": "11/11/2022 12:45:55",
"content": "@ZTmat Has your question been resolved?",
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"content": "This is a definition so there's nothing really to ask \"why\" about other than why make the defintion in the first place? The answer to this is almost always that the object that's being defined has been studied enough for it to be worth the effort to be assigned a name, mostly for convenience in communication.",
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] | help-9 | e024b915d48f48f18f1b3cb24afccd6e |
201,549 | [
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"content": "This might be a bit of an odd question, but assume that we have some function $f : X \\to Y$, but $X = \\emptyset$, satisfying $f(x) = 0$ for all $x \\in X$. Would it also be able to satisfy $f(y) = 1$ for some $y \\in X$. This sounds like a very contradicting statement, but I thought it might be able for $X$ being empty, or is there any proper definition to this?",
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"content": "well how could $x\\in X$ if $X=\\emptyset$",
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"content": "I mean what does it mean if we say: $f(x) = 0$ for all $x \\in \\emptyset$. This is very much a possible statement, no?",
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"timestamp": "11/11/2022 13:19:07",
"content": "no. There's nothing in the empty set",
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"content": "I guess that's true because there are no x that satisfy that",
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"content": "It is a statement of the form: $\\forall x \\, (x \\in \\emptyset \\longrightarrow f(x) = 0)$",
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"content": "The statement is therefore always true",
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"content": "since $x \\in \\emptyset$ is already wrong",
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"content": "well that's not a statement so it can't be false",
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"content": "So the statement that $f(x) = 0$ for all $x \\in \\emptyset$ is always true I think?",
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"content": "I think so",
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"content": "It is a statement, what?",
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"content": "$\\forall x\\in \\emptyset$ isn't a statement",
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"timestamp": "11/11/2022 13:22:17",
"content": "right?",
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"content": "**SlowBrosRUs**",
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"content": "That is not a statement",
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"content": "$x \\in \\emptyset$ is",
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"timestamp": "11/11/2022 13:22:29",
"content": "yeah so it can't be false",
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"content": "**lewis**",
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"content": "yeah given an x",
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"content": "$\\forall x \\in X, (x \\in \\emptyset \\longrightarrow f(x) = 0)$ is a statement for itself",
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"content": "**lewis**",
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"timestamp": "11/11/2022 13:23:26",
"content": "but $\\forall x\\in\\emptyset=\\emptyset$ right",
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"content": "**SlowBrosRUs**",
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"content": "$x \\in \\emptyset$ is always considered to be incorrect, so the implication for itself must be true",
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"content": "Anyway, I think I've solved my own predicament tho, I needed this for a proof of mine haha",
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] | help-9 | a0ac8a35f86543169f1319e8a5031d7e |
201,550 | [
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"content": "This is the solution from the book",
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"content": "Eh, wouldn't sec^2(sec^-1(x)) be the same as x^2?",
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"content": "I took another approach which yielded a different result",
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"author_name": "bluepianist",
"timestamp": "11/11/2022 13:31:54",
"content": "Ah yes but that would give a different expression from the one I got?",
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"timestamp": "11/11/2022 13:31:57",
"content": "Why would that be",
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"id": 1040695586267082800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/11/2022 13:32:42",
"content": "Derivative of sin^-1(1/x) is not 1/sqrt(1 - 1/x^2) tho",
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"timestamp": "11/11/2022 13:32:57",
"content": "It's 1/sqrt(1 - 1/x^2) * (1/x)'",
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"author_name": "A Lonely Bean",
"timestamp": "11/11/2022 13:33:00",
"content": "By the chain rule",
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"author_id": 692010832455794700,
"author_name": "bluepianist",
"timestamp": "11/11/2022 13:33:46",
"content": "Ah yes I see",
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"author_id": 692010832455794700,
"author_name": "bluepianist",
"timestamp": "11/11/2022 13:33:59",
"content": "Besides differentiating the final result, what was the fallacy here",
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"author_id": 692010832455794700,
"author_name": "bluepianist",
"timestamp": "11/11/2022 13:34:14",
"content": "Which step is illegal?",
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"timestamp": "11/11/2022 13:34:20",
"content": "The last one",
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"timestamp": "11/11/2022 13:35:43",
"content": "Oh",
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"content": "",
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"timestamp": "11/11/2022 13:35:50",
"content": "is it because of the |u|<1 criterion",
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"timestamp": "11/11/2022 13:36:01",
"content": "which relates to the domain of arcsin",
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"author_id": 692010832455794700,
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"timestamp": "11/11/2022 13:37:47",
"content": "?",
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"author_name": "A Lonely Bean",
"timestamp": "11/11/2022 13:38:25",
"content": "No, you need to have a du/dx there",
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"author_name": "A Lonely Bean",
"timestamp": "11/11/2022 13:38:47",
"content": "As you can see 1/sqrt(1 - 1/x^2) is not multiplied by the derivative of 1/x",
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"timestamp": "11/11/2022 13:39:14",
"content": "OOOH",
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},
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"author_id": 692010832455794700,
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"timestamp": "11/11/2022 13:39:17",
"content": "i seee",
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"author_id": 692010832455794700,
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"timestamp": "11/11/2022 13:39:33",
"content": "gotcha thankss",
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"timestamp": "11/11/2022 13:40:55",
"content": ".close",
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"timestamp": "11/11/2022 13:40:56",
"content": "Channel closed",
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] | help-9 | 53b8fa25901946768c5d4b3dbe94f034 |
201,551 | [
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"author_name": "Borshche",
"timestamp": "10/22/2022 20:03:25",
"content": "Ok so I got the domain for this question, but I’m wondering why is there a second restriction for the range, why does y have to be less than 24. You can get that value by subbing x with -2, but I don’t understand why you wouldnt just leave the R as y >= -3",
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"content": "Sorry",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/22/2022 20:04:08",
"content": "What's the max value of f on (-2, 3)?",
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"timestamp": "10/22/2022 20:04:47",
"content": "Or, I guess the supremum",
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"content": "Sorry the what?",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/22/2022 20:05:14",
"content": "Is it possible to get a value for y greater than 24?",
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"timestamp": "10/22/2022 20:06:03",
"content": "No",
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"content": "Can you get 24 itself?",
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"timestamp": "10/22/2022 20:06:45",
"content": "No, because the restrictions say that x has to be greater than -2, not equal to",
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"timestamp": "10/22/2022 20:06:55",
"content": "Therefore the range has y < 24",
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"author_name": "Borshche",
"timestamp": "10/22/2022 20:07:24",
"content": "Why would I even look for that though, is it because x has restrictions?",
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"timestamp": "10/22/2022 20:07:38",
"content": "The range is the set of all possible y values",
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"author_name": "Borshche",
"timestamp": "10/22/2022 20:08:01",
"content": "Yeah, but on normal parabolas there the only restriction on x is the min/max",
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"timestamp": "10/22/2022 20:08:09",
"content": "If y can't have any values greater than 24, then saying y ≥ 3 without anything else is wrong, because that implies every value of y greater than 3 is possible",
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"timestamp": "10/22/2022 20:08:25",
"content": "Mhm ok",
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"author_id": 665328338897862700,
"author_name": "Borshche",
"timestamp": "10/22/2022 20:08:26",
"content": "Thank you",
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"content": ".closr",
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"timestamp": "10/22/2022 20:08:32",
"content": ".close",
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] | help-9 | 269ff2cfc15142ca8722913e410f5cd3 |
201,552 | [
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"timestamp": "11/11/2022 13:57:02",
"content": "I'm still trying to get the equation for the rectangle",
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"timestamp": "11/11/2022 13:58:34",
"content": "assume the length of the vertex closest to origin to be =a\nlength=1-2a, width=f(a)",
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"timestamp": "11/11/2022 13:59:06",
"content": "area=g(a), to get max area, find a for which g'(a)=0",
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"timestamp": "11/11/2022 13:59:28",
"content": "@懿雯 let me know if you're stuck",
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"timestamp": "11/11/2022 13:59:59",
"content": "Ok I think I understand what you're saying rn",
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"id": 1040702779448098800,
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"timestamp": "11/11/2022 14:01:17",
"content": "G(a) = a(1-2a) g'(a) = 1-4a",
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"timestamp": "11/11/2022 14:01:22",
"content": "Is it correct?",
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"author_name": "Lvn",
"timestamp": "11/11/2022 14:01:24",
"content": "i guess i made a mistake in wriing the length",
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"timestamp": "11/11/2022 14:02:30",
"content": "cause we cant be sure if the that graph is symmetrical about 1/2 for x belonging from 0 to 1",
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"timestamp": "11/11/2022 14:03:14",
"content": "Yeah you're right",
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"author_name": "懿雯",
"timestamp": "11/11/2022 14:03:29",
"content": "One of the critical point is x=1/3",
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"id": 1040703359235137700,
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"timestamp": "11/11/2022 14:03:36",
"content": "So it's not symmetry",
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"id": 1040706507341312000,
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"timestamp": "11/11/2022 14:16:06",
"content": "idk, this is harder or trickier",
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"timestamp": "11/11/2022 14:16:12",
"content": "@Helpers",
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"timestamp": "11/11/2022 14:21:12",
"content": "@懿雯 Has your question been resolved?",
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"timestamp": "11/11/2022 14:51:29",
"content": "@懿雯 Has your question been resolved?",
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"timestamp": "11/11/2022 15:51:36",
"content": "@懿雯 Has your question been resolved?",
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"timestamp": "11/11/2022 17:53:24",
"content": "@懿雯 Has your question been resolved?",
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"timestamp": "11/11/2022 22:23:09",
"content": "@懿雯 still need help ?",
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"timestamp": "11/12/2022 00:36:14",
"content": "@懿雯 Has your question been resolved?",
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"timestamp": "11/12/2022 04:36:15",
"content": "Channel closed",
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}
] | help-9 | 9c97e364631d42e5b755dba650cb0f5b |
201,553 | [
{
"id": 1040932236511428600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 05:13:04",
"content": "Available help channel!",
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},
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"id": 1040934017115103200,
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"id": 1040934020013367300,
"author_id": 805217272087838700,
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"timestamp": "11/12/2022 05:20:09",
"content": "Pinned a message.",
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"author_id": 456226577798135800,
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"timestamp": "11/12/2022 05:20:19",
"content": "when it comes to the cesar cypher",
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{
"id": 1040934080667209900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:20:24",
"content": "what does the m mean here ?",
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{
"id": 1040934159004225500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:20:43",
"content": "n is the shifting",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:21:00",
"content": "is m one of the letters of the alphabet?",
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{
"id": 1040937137618559000,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:32:33",
"content": "so imagine we labelled all the letters, 1,2,3,4...26",
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"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:32:45",
"content": "potentially one of our letters is z (number 26)",
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},
{
"id": 1040937254006300700,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:33:01",
"content": "now if our cesar cipher pushes all of our letters along by 3",
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},
{
"id": 1040937303633301500,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:33:12",
"content": "then z becomes the 29th letter, but we have 26 letters",
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{
"id": 1040937365025337300,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:33:27",
"content": "so we consider 29 mod 26, which means remainder when divided by 26",
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{
"id": 1040937375733399600,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:33:30",
"content": "so 3",
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{
"id": 1040937382863704000,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "11/12/2022 05:33:31",
"content": "which is c",
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{
"id": 1040938100458782800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:36:22",
"content": "Ok",
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"id": 1040938137167339500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:36:31",
"content": "In my case im using ascii values",
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"id": 1040938161599152100,
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"timestamp": "11/12/2022 05:36:37",
"content": "Lowercase",
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"id": 1040938193324884000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:36:44",
"content": "Which is 97 - 122",
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"id": 1040938241068650500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/12/2022 05:36:56",
"content": "So with this function it does a warparound",
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"id": 1040938276124635100,
"author_id": 456226577798135800,
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"timestamp": "11/12/2022 05:37:04",
"content": "To not get out of the range",
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"author_id": 456226577798135800,
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"timestamp": "11/12/2022 05:39:48",
"content": "Thanks for the help",
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},
{
"id": 1040938975990382700,
"author_id": 456226577798135800,
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"timestamp": "11/12/2022 05:39:51",
"content": ".close",
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"timestamp": "11/12/2022 05:39:52",
"content": "Channel closed",
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] | help-9 | 055e961f507b424c9b212a95b060c0f5 |
201,554 | [
{
"id": 1040954569104048300,
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"content": "Available help channel!",
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"id": 1040959942435283000,
"author_id": 725687617504673900,
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"content": "4/(x + 3) = 3 - 8/(x + 3)",
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"content": "Okay so my issue with this problem is that I simply do not know how to even start doing this",
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"content": "multiply both sides by (x+3)",
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"timestamp": "11/12/2022 07:03:45",
"content": "make 3 as a fraction",
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"timestamp": "11/12/2022 07:03:50",
"content": "or that",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:04:16",
"content": "one sec",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:04:25",
"content": "lemme get a pen",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:05:24",
"content": "so 4 multiplied by (x+3) and 8 multiplied by (x+3)?",
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"content": "4x+12=3-8x+24",
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"timestamp": "11/12/2022 07:06:37",
"content": "okay I know how to solve the rest",
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"timestamp": "11/12/2022 07:06:49",
"content": "I have one more question tho",
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"timestamp": "11/12/2022 07:07:02",
"content": "two equals??",
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"author_name": "gaming fungus",
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"content": "lol",
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"content": "mb",
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"timestamp": "11/12/2022 07:07:17",
"content": "its supposed to be +",
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"author_id": 725687617504673900,
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"timestamp": "11/12/2022 07:07:27",
"content": "I forgot to use shift",
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"timestamp": "11/12/2022 07:08:20",
"content": "5/2(1+2x)=3/(1+2x)-2",
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"timestamp": "11/12/2022 07:11:23",
"content": "ok so start off by getting all the \"x\"s on the same side of the equation",
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"timestamp": "11/12/2022 07:11:40",
"content": "ye Ik I did this",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:11:47",
"content": "just need help with this",
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"timestamp": "11/12/2022 07:11:59",
"content": "a ok mb",
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:12:44",
"content": "are your brackets incorrect?",
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"id": 1040962569218818200,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:13:36",
"content": "im assuming it's meant to be like this?",
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"timestamp": "11/12/2022 07:13:38",
"content": "",
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"id": 1040962667420061700,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:14:00",
"content": "On my text book there are no double brackets",
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"id": 1040962719639158800,
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"timestamp": "11/12/2022 07:14:12",
"content": "the double brackets dont matter",
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"id": 1040962767055753300,
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"timestamp": "11/12/2022 07:14:23",
"content": "is it 5 divided by 2(1+2x)",
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"id": 1040962770826444800,
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"timestamp": "11/12/2022 07:14:24",
"content": "?",
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"timestamp": "11/12/2022 07:14:34",
"content": "yes",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:14:35",
"content": "It is",
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"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:14:37",
"content": "or 5 divided by 2, multiplied by 1+2x",
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"id": 1040962829328592900,
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"timestamp": "11/12/2022 07:14:38",
"content": "okay",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:16:06",
"content": "oh btw",
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"timestamp": "11/12/2022 07:16:11",
"content": "In the second division",
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"id": 1040963304874582000,
"author_id": 725687617504673900,
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"timestamp": "11/12/2022 07:16:32",
"content": "its 3 divided by 2(1+2x)",
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{
"id": 1040963324097089500,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:16:36",
"content": "ohh",
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{
"id": 1040963378312663200,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:16:49",
"content": "anyway",
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},
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"id": 1040963405042950100,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:16:55",
"content": "I did the expansion",
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},
{
"id": 1040963464287494100,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:17:10",
"content": "5/2+2x=3/2+2x-2",
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},
{
"id": 1040963465336062000,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:17:10",
"content": "wait",
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},
{
"id": 1040963690456948700,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:18:03",
"content": "thats not right",
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"timestamp": "11/12/2022 07:18:17",
"content": "",
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"timestamp": "11/12/2022 07:18:30",
"content": "ye this is it",
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"timestamp": "11/12/2022 07:18:31",
"content": "you want to multiply everything in the brackets by 2",
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"timestamp": "11/12/2022 07:18:36",
"content": "done",
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"timestamp": "11/12/2022 07:18:47",
"content": "u didnt do that here",
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"timestamp": "11/12/2022 07:19:01",
"content": "wdym",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:19:11",
"content": "its 2 multiplied by 1+2x",
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"timestamp": "11/12/2022 07:19:14",
"content": "fuck",
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"timestamp": "11/12/2022 07:19:19",
"content": "yeah",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:19:44",
"content": "5/2+4x=3/2+4x-2",
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"id": 1040964252292362200,
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"timestamp": "11/12/2022 07:20:17",
"content": "yeah",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:22:26",
"content": "what do I do next",
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"timestamp": "11/12/2022 07:23:23",
"content": "cross multiply the fractions",
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"author_name": "Ease_Guy",
"timestamp": "11/12/2022 07:23:47",
"content": "what if you simply transpose the 3/(2(1+2x)) to the LHS and do simple subtraction as they have the same denominator and then solve it",
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"author_id": 1034994928796844200,
"author_name": "懿雯",
"timestamp": "11/12/2022 07:24:05",
"content": "Yep I still need help",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:24:28",
"content": "5(2+4x)=3(2+4x)-2",
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"timestamp": "11/12/2022 07:24:36",
"content": "ok I know what to do from here",
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"timestamp": "11/12/2022 07:24:39",
"content": "thanks a lot",
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"timestamp": "11/12/2022 07:25:52",
"content": "this is faster but I believe it's more beneficial to show them how to do it this way 😁🙏",
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"timestamp": "11/12/2022 07:26:39",
"content": "okay I got the right answer",
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"timestamp": "11/12/2022 07:27:05",
"content": "but this doesn't seem to be working out",
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"timestamp": "11/12/2022 07:27:10",
"content": "tried it two times",
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"timestamp": "11/12/2022 07:29:58",
"content": "okay you can use the other method which is much faster and easier, however it only works when there is a common denominator",
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"timestamp": "11/12/2022 07:30:23",
"content": "add 8/(x+3) to both sides",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:30:25",
"content": "there is a common denominator",
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"timestamp": "11/12/2022 07:30:36",
"content": "yes which is why we will use it",
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"timestamp": "11/12/2022 07:30:41",
"content": "wdym",
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"timestamp": "11/12/2022 07:30:45",
"content": "but note that you cannot use it most of the time",
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"timestamp": "11/12/2022 07:31:23",
"content": "if you add 8/(x+3) to both sides, you get 4/(x+3) + 8/(x+3) = 3",
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:31:43",
"content": "as adding 8/(x+3) brings the whole fraction to the other side",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:32:08",
"content": "so you're telling me to shift 8/(x+3) to the other side?",
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"id": 1040967253459472400,
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"timestamp": "11/12/2022 07:32:13",
"content": "yes",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:32:17",
"content": "alright",
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"id": 1040967284564443100,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:32:20",
"content": "but you cannot simply just move it",
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"id": 1040967386934804500,
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"timestamp": "11/12/2022 07:32:45",
"content": "since it is -8/(x+3), you want to add it to both sides to cancel it on the right side",
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"id": 1040967473878544400,
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"timestamp": "11/12/2022 07:33:06",
"content": "do u understand",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:33:19",
"content": "ye I do",
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"timestamp": "11/12/2022 07:33:34",
"content": "alright so now you have 4/(x+3) + 8/(x+3) = 3",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:33:47",
"content": "its a more complex way of saying move it to the other side and replace \"-\" with \"+\"",
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"id": 1040967670008381400,
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:33:52",
"content": "yes",
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"id": 1040967790259085400,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:34:21",
"content": "what can you do when you're adding two fractions with the same denominator",
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:34:52",
"content": "just simply add it",
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"id": 1040967950426968200,
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"author_name": "Vanilla",
"timestamp": "11/12/2022 07:34:59",
"content": "12/(x+3)=3",
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{
"id": 1040967966461788200,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:35:03",
"content": "yes",
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},
{
"id": 1040968065048924200,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:35:26",
"content": "what was that hahahahah",
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{
"id": 1040968086490202200,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:35:32",
"content": "I saw",
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"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:35:35",
"content": "some japanese letters",
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{
"id": 1040968118438215800,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:35:39",
"content": "when i type do it comes up with that",
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{
"id": 1040968129423089700,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:35:42",
"content": "on discord??",
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{
"id": 1040968136515653600,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:35:43",
"content": "hahahah",
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{
"id": 1040968220221391000,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:36:03",
"content": "oh",
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"id": 1040968220900864000,
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:04",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1040968220586295377/image.png",
"fileName": "image.png",
"fileSizeBytes": 73853
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"id": 1040968227745976400,
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"timestamp": "11/12/2022 07:36:05",
"content": "look",
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"id": 1040968248641982600,
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:10",
"content": "",
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{
"id": 1040968272285278300,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:16",
"content": "ohh",
"attachments": [],
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{
"id": 1040968290815705100,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:20",
"content": "its a sticker on the server",
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{
"id": 1040968314110885900,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:26",
"content": "alright anyways",
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"id": 1040968410542125200,
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:36:49",
"content": "what should you do from here",
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"id": 1040968440023896000,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:36:56",
"content": "hmm",
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"id": 1040968523687661600,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:37:16",
"content": "I should move 12 to the other side",
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"id": 1040968612200075400,
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"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:37:37",
"content": "no, as it is on the top of the fraction",
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"id": 1040968614725025800,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:37:38",
"content": "x+3=12x3",
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{
"id": 1040968649021849600,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:37:46",
"content": "oh",
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{
"id": 1040968748309418000,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:09",
"content": "Should I move the bottom?",
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{
"id": 1040968762473586800,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:38:13",
"content": "yes",
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"id": 1040968791980527700,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:20",
"content": "aight so",
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"id": 1040968824842899600,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:28",
"content": "12=3(x+3)",
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},
{
"id": 1040968840865120300,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:38:31",
"content": "yes",
"attachments": [],
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{
"id": 1040968847949303800,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:33",
"content": "12=3x+9",
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"id": 1040968865749946400,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:38:37",
"content": "great",
"attachments": [],
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},
{
"id": 1040968925665566800,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:52",
"content": "3x=-12+9\n3x=-3",
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{
"id": 1040968933299212300,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:53",
"content": "so",
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{
"id": 1040968941582958600,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:38:55",
"content": "x=1",
"attachments": [],
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},
{
"id": 1040969030036619300,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:17",
"content": "wait",
"attachments": [],
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{
"id": 1040969059388371000,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:24",
"content": "oh nah",
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{
"id": 1040969069257556100,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:39:26",
"content": "it shouldnt be 3x=-3",
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{
"id": 1040969077486784500,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:28",
"content": "I made a mistake here",
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{
"id": 1040969112232415200,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:36",
"content": "it should be -3x=-3",
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},
{
"id": 1040969150924869600,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:39:45",
"content": "yes",
"attachments": [],
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},
{
"id": 1040969169102975000,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:39:50",
"content": "you were correct tho, x=1",
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"id": 1040969199306154000,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:57",
"content": "right",
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"id": 1040969209976475600,
"author_id": 725687617504673900,
"author_name": "Vanilla",
"timestamp": "11/12/2022 07:39:59",
"content": "Thanks a lot",
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{
"id": 1040969232629899300,
"author_id": 648354620866953200,
"author_name": "gaming fungus",
"timestamp": "11/12/2022 07:40:05",
"content": "np",
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] | help-9 | 9a40514c75f345cca70a71fb41b5c5dc |
201,555 | [
{
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"timestamp": "11/12/2022 07:45:44",
"content": "help plz",
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},
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"id": 1040970849164984300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 07:46:30",
"content": "low-res pic 💀",
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"id": 1040970952567177200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 07:46:55",
"content": "```\n3 unbiased coins are tossed. All coins which come up Tails on this first toss are retossed once. What is the probability that at least 2 Heads are shown?\n```",
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"id": 1040971322999713900,
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"timestamp": "11/12/2022 07:48:23",
"content": "yep",
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"id": 1040971397331161100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 07:48:41",
"content": "you can think about each coin individually - what is the probability that, after this toss-with-potential-retoss experiment, you will get heads?",
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"id": 1040971460258316300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/12/2022 07:48:56",
"content": "1/2",
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"id": 1040971490780262500,
"author_id": 183668144404037630,
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"timestamp": "11/12/2022 07:49:03",
"content": "wrong",
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"id": 1040971671768666100,
"author_id": 849961886874730500,
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"timestamp": "11/12/2022 07:49:46",
"content": "hmmm",
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"id": 1040971955467206800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 07:50:54",
"content": "you toss the coin. if it shows heads, you stop. if it shows tails, you retoss, and stop regardless of whether it shows heads or tails.",
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"id": 1040972017245106300,
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"timestamp": "11/12/2022 07:51:09",
"content": "yh",
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"id": 1040972029987410000,
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"timestamp": "11/12/2022 07:51:12",
"content": "i get that",
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"id": 1040972065362165800,
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"timestamp": "11/12/2022 07:51:20",
"content": "ok so",
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"timestamp": "11/12/2022 07:52:25",
"content": "would it be 1/4 since in the first toss its a prob of 1/2 u get heads, but if theres a second toss theres another prob of 1/2 u get heads?",
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"id": 1040972437963145300,
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"timestamp": "11/12/2022 07:52:49",
"content": "so 1/2 x 1/2 = 1/4",
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"id": 1040972749553795200,
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"timestamp": "11/12/2022 07:54:03",
"content": "is this correct?",
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"id": 1040973383699009700,
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"timestamp": "11/12/2022 07:56:35",
"content": "no",
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"timestamp": "11/12/2022 07:57:00",
"content": "you either get heads right away (1/2) or on the retoss (1/4)",
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"timestamp": "11/12/2022 07:57:10",
"content": "you need to account for both possibilities",
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"timestamp": "11/12/2022 07:57:13",
"content": "oh so 1/8",
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"id": 1040973549487263900,
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"timestamp": "11/12/2022 07:57:14",
"content": "?",
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"id": 1040973995966730200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 07:59:01",
"content": "no, it's not 1/8.",
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"id": 1040974405838315600,
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"timestamp": "11/12/2022 08:00:38",
"content": "so to find the probability of getting heads, why cant u do 1/2 x 1/4?",
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"id": 1040974515427102800,
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"timestamp": "11/12/2022 08:01:04",
"content": "or is it 1/2 + 1/4?",
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"content": "is this correct?",
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"id": 1040976505532076000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 08:08:59",
"content": "\"get heads on first toss\" and \"get heads on second toss\" aren't independent, and you are not looking for their INTERSECTION anyway.",
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"id": 1040976602961555600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 08:09:22",
"content": ",calc 1 - (1/4)^3 - 3 * 3/4 * (1/4)^2",
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},
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"id": 1040976604492464300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/12/2022 08:09:22",
"content": "Result:\n```\n0.84375\n```",
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"id": 1040976629930926100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 08:09:28",
"content": "ok yeah your answer is correct",
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"id": 1040976690035306600,
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"timestamp": "11/12/2022 08:09:43",
"content": "lesgoo noice",
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"id": 1040976699589939200,
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"timestamp": "11/12/2022 08:09:45",
"content": "thanks for help",
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"id": 1040976790841213000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/12/2022 08:10:07",
"content": ".close",
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"id": 1040976793282289700,
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"timestamp": "11/12/2022 08:10:07",
"content": "Channel closed",
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] | help-9 | 1b6ce65c52f647b18fc9507382cd3a35 |
201,556 | [
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"author_name": "Espress",
"timestamp": "11/12/2022 08:20:57",
"content": "I have a rough idea how the circle looks like on the graph but I dont understand how to go about working it out",
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"id": 1040979679764566100,
"author_id": 183668144404037630,
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"timestamp": "11/12/2022 08:21:36",
"content": "write down the equation of the circle in terms of p and q",
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"id": 1040979881628024800,
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"timestamp": "11/12/2022 08:22:24",
"content": "(x + p)^2 + (y + q)^2 = 625",
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"id": 1040979885440643100,
"author_id": 414435389198041100,
"author_name": "Espress",
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"content": "?",
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"id": 1040979986343018600,
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"timestamp": "11/12/2022 08:22:49",
"content": "almost",
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"id": 1040980029489819600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/12/2022 08:22:59",
"content": "(x-p)^2 + (y-q)^2 = 625",
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},
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"id": 1040980048922017900,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:23:04",
"content": "oh",
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"id": 1040980066408083500,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:23:08",
"content": "wait why is it -?",
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"id": 1040980168707166200,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:23:32",
"content": "nvm",
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"id": 1040980264068857900,
"author_id": 183668144404037630,
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"timestamp": "11/12/2022 08:23:55",
"content": "now write down the fact that your circle passes through (7,0)",
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"id": 1040980283119378400,
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"timestamp": "11/12/2022 08:23:59",
"content": "as an equation in p and q",
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"id": 1040980311393181700,
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"timestamp": "11/12/2022 08:24:06",
"content": "and then do the same for (-7,0)",
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"id": 1040980398043308000,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:24:27",
"content": "so I sub in 7 into the x and 0 into the y then repeat for (-7,0)?",
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"id": 1040980449230598300,
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"timestamp": "11/12/2022 08:24:39",
"content": "...yes",
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"id": 1040980491182014500,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:24:49",
"content": "sorry im really bad at understanding stuff",
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"id": 1040981280776540200,
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"timestamp": "11/12/2022 08:27:57",
"content": "ok so",
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"id": 1040981464466071700,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "11/12/2022 08:28:41",
"content": "i got:\np^2 + q^2 - 14p - 576 = 0\np^2 + q^2 +14p - 576 = 0",
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"timestamp": "11/12/2022 08:30:03",
"content": "what should I do after this?",
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"timestamp": "11/12/2022 08:36:29",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | aa8cf299a4d8457285dc3964a94e9992 |
201,557 | [
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"content": "Pinned a message.",
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"author_id": 317562844243558400,
"author_name": "hej",
"timestamp": "11/12/2022 08:46:36",
"content": "hey im just wondering, what is that function i just showed a picture of?",
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{
"id": 1040986203085885400,
"author_id": 317562844243558400,
"author_name": "hej",
"timestamp": "11/12/2022 08:47:31",
"content": "i though it was (1/x)cos(x) as you can see i wrote it at the left hand side, but now that i write it again it shows this:",
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"id": 1040986240700399600,
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"author_name": "hej",
"timestamp": "11/12/2022 08:47:40",
"content": "so what happended with the first one?",
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"timestamp": "11/12/2022 09:02:40",
"content": "@hej Has your question been resolved?",
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"id": 1040991067991965700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/12/2022 09:06:51",
"content": "This?",
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"id": 1040991120722759800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/12/2022 09:07:03",
"content": "That looks like sin(x)/x",
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"id": 1040991280018235500,
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"timestamp": "11/12/2022 09:07:41",
"content": "There's a thing called limit superior and inferior that basically, in layman terms, will define the \"range\" of the function",
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"timestamp": "11/12/2022 09:09:08",
"content": "Iirc, from playing around on desmos I was able to come to this conclusion:\n\n$$-\\frac{1}{g(x)} \\leq \\frac{\\sin(x)}{g(x)} \\leq \\frac{1}{g(x)}$$",
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"timestamp": "11/12/2022 09:09:12",
"content": "**Umbraleviathan**",
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"timestamp": "11/12/2022 09:09:13",
"content": "Something like that",
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"timestamp": "11/12/2022 09:10:04",
"content": "but i want the graph for this:",
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"timestamp": "11/12/2022 09:10:16",
"content": "That is bounded by -1/x and 1/x",
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"timestamp": "11/12/2022 09:10:21",
"content": "But as a cosine graph instead",
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"content": "sin(x) = cos(x - pi/2)",
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"timestamp": "11/12/2022 09:12:39",
"content": "Also @hej I'm pretty sure your second graph had a large x-window but a small y-window so it got mega compressed",
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"timestamp": "11/12/2022 09:12:57",
"content": "So it looked weird",
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"timestamp": "11/12/2022 09:13:30",
"content": "ok but if i want this:",
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"timestamp": "11/12/2022 09:14:02",
"content": "do i need to write it like 1/x * cos(x) in a graphcalculator or do i only do like (1/x)cos(x)",
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"timestamp": "11/12/2022 09:14:03",
"content": "?",
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"author_id": 317562844243558400,
"author_name": "hej",
"timestamp": "11/12/2022 09:16:24",
"content": "nvm",
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"timestamp": "11/12/2022 09:16:27",
"content": "thank you!",
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] | help-9 | 7e6a8eee408442609e0c51aef6296f92 |
201,558 | [
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"timestamp": "11/12/2022 09:17:31",
"content": "Available help channel!",
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},
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"id": 1040996300960845800,
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"timestamp": "11/12/2022 09:27:50",
"content": "For company 1 the best response would be dy/dq2 = a - bq1 + b. For company 2 the best response would be dy/dq1 = a - b + bq2",
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"content": "Is this correct?",
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"content": "@capito Has your question been resolved?",
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"timestamp": "11/12/2022 09:53:07",
"content": "Where does the x in 2(x + y .. go?",
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"content": "@Helpers",
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"timestamp": "11/12/2022 09:53:17",
"content": "Shouldnt it remain constant?",
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"author_name": "capito",
"timestamp": "11/12/2022 09:53:34",
"content": "Since we are looking at the difference in y?",
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"timestamp": "11/12/2022 10:23:34",
"content": "@capito Has your question been resolved?",
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] | help-9 | 937d6536a5d1451594e4c41372604535 |
201,559 | [
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{
"id": 1041018328879206400,
"author_id": 301646415258452000,
"author_name": "MisterJax",
"timestamp": "11/12/2022 10:55:10",
"content": "I've been trying to solve for the y that solves dy/dx equation but I'm stuck there.",
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"timestamp": "11/12/2022 10:57:22",
"content": "I'm stuck at (t^2)dy = (t(y+1)+(y+1)^2)dt",
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"timestamp": "11/12/2022 10:58:24",
"content": "I'm thinking of trying to find the integrating factor from here but that doesn't make sense right?",
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"timestamp": "11/12/2022 11:44:08",
"content": "@MisterJax Has your question been resolved?",
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] | help-9 | de092066c09042c0a4344035303e8145 |
201,560 | [
{
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{
"id": 1041037345543176300,
"author_id": 363235731528876000,
"author_name": ".Turtelyy",
"timestamp": "11/12/2022 12:10:44",
"content": "How would you solve something that has a log(x) term on one side = to x^2 term \ne.g. -x^2 -2x +4 = log2(x+1) without plotting a graph, purely algebraically, please @.Turtelyy If you know how.",
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"timestamp": "11/12/2022 12:13:18",
"content": "@Helpers",
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"id": 1041038611900026900,
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"author_name": "Denascite",
"timestamp": "11/12/2022 12:15:46",
"content": "in general you don't",
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"timestamp": "11/12/2022 12:28:18",
"content": "@.Turtelyy Has your question been resolved?",
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] | help-9 | ab76abf23609465991be38316eb93045 |
201,561 | [
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{
"id": 1041046456980746400,
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"author_name": "zo",
"timestamp": "11/12/2022 12:46:57",
"content": "Question:",
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"timestamp": "11/12/2022 12:46:57",
"content": "Pinned a message.",
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"id": 1041046486697386000,
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"author_name": "zo",
"timestamp": "11/12/2022 12:47:04",
"content": "I am absolutely losing it",
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"id": 1041046531102478300,
"author_id": 738500687633186800,
"author_name": "zo",
"timestamp": "11/12/2022 12:47:14",
"content": "simple plug and solve for a variable but",
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"id": 1041046550882820200,
"author_id": 738500687633186800,
"author_name": "zo",
"timestamp": "11/12/2022 12:47:19",
"content": "i keep getting the wrong answers",
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{
"id": 1041046624652251100,
"author_id": 738500687633186800,
"author_name": "zo",
"timestamp": "11/12/2022 12:47:37",
"content": "^ Given c is 0.01, D = 0.971, R = 0.5, find lambda",
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"id": 1041046683120832500,
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"author_name": "zo",
"timestamp": "11/12/2022 12:47:50",
"content": "i keep getting a solution ~5.xxx",
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"id": 1041046713504374900,
"author_id": 738500687633186800,
"author_name": "zo",
"timestamp": "11/12/2022 12:47:58",
"content": "but the real answer should be 0.02",
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{
"id": 1041046777568186400,
"author_id": 738500687633186800,
"author_name": "zo",
"timestamp": "11/12/2022 12:48:13",
"content": "been going at it for hours and idk what im doing wrong",
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"id": 1041047174525505500,
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"author_name": "ege",
"timestamp": "11/12/2022 12:49:48",
"content": "is zero exist notiing cant exist",
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"timestamp": "11/12/2022 13:03:13",
"content": "@zo Has your question been resolved?",
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"timestamp": "11/12/2022 13:03:37",
"content": "wdym?",
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"content": "@zo Has your question been resolved?",
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"timestamp": "11/12/2022 14:35:33",
"content": "@zo Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 53eb75d95ee64974a5aac88f924bb67e |
201,562 | [
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"timestamp": "10/22/2022 20:35:46",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "10/22/2022 20:39:17",
"content": "i dont quite get part 2",
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"id": 1033540443339759600,
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 20:40:43",
"content": "ig why is m=0",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 20:40:59",
"content": "tbh i kinda get part 2, it's setting the limits to be the same to prevent situations like corner",
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"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "10/22/2022 20:41:15",
"content": "Right idea, but you dont have to go back to the definition of the derivative. the right hand derivative is m, and the left hand derivative is 2*0=0. You want these to be equal, so m=0",
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"timestamp": "10/22/2022 20:41:55",
"content": "ah right",
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"content": "ok that makes sense",
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"timestamp": "10/22/2022 20:42:11",
"content": "thx",
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"timestamp": "10/22/2022 20:42:13",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 30fd13c49cc24e1b97d050bf584adba5 |
201,563 | [
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},
{
"id": 1041090341643751600,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:41:19",
"content": "Can someone help me with b?",
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"timestamp": "11/12/2022 15:41:20",
"content": "Pinned a message.",
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{
"id": 1041091095511183400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "11/12/2022 15:44:19",
"content": "This is symmetrical in the y axis because it’s an even function and we want to restrict it to one-to-one",
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},
{
"id": 1041091178390626400,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:44:39",
"content": "so x>0",
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},
{
"id": 1041091225995984900,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:44:50",
"content": "or is it x>_ 0",
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},
{
"id": 1041091366308040800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "11/12/2022 15:45:24",
"content": ">=",
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},
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"author_name": "rego22o",
"timestamp": "11/12/2022 15:46:02",
"content": "Ah okay",
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"id": 1041091552396726300,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:46:08",
"content": "That makes sense",
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},
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"id": 1041091570541281400,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:46:12",
"content": "Restricting it to one on one",
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},
{
"id": 1041091604993294500,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:46:21",
"content": "Thank you",
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},
{
"id": 1041091619975348200,
"author_id": 500100654522695700,
"author_name": "rego22o",
"timestamp": "11/12/2022 15:46:24",
"content": ".close",
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"id": 1041091622915539000,
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"timestamp": "11/12/2022 15:46:25",
"content": "Channel closed",
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] | help-9 | b56a358ddb2b46b78fe7d72111f4e65f |
201,564 | [
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"timestamp": "11/12/2022 15:51:22",
"content": "Available help channel!",
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},
{
"id": 1041093705416847400,
"author_id": 392634106023772160,
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"content": "*",
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"id": 1041093707467866200,
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"timestamp": "11/12/2022 15:54:42",
"content": "Pinned a message.",
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"author_name": "Robinson crusoer",
"timestamp": "11/12/2022 15:54:44",
"content": "need help",
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},
{
"id": 1041094005460566100,
"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/12/2022 15:55:53",
"content": "i need to simplify $1+cos(2a)/1-cos(2a)$ by using the formula $cos²x=1+cos2a/2;sin²x=1-cos2a/2 etc$",
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{
"id": 1041094095646490600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/12/2022 15:56:14",
"content": "**Kizima**",
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"author_id": 392634106023772160,
"author_name": "Robinson crusoer",
"timestamp": "11/12/2022 16:05:05",
"content": "pls help me im under the water",
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},
{
"id": 1041099232406405100,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/12/2022 16:16:39",
"content": "notice how the top and bottom are almost the formula you have? You're just missing the division by 2 on both of them",
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"timestamp": "11/12/2022 16:21:39",
"content": "@Robinson crusoer Has your question been resolved?",
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"author_name": "Robinson crusoer",
"timestamp": "11/12/2022 16:23:48",
"content": "in the exercice they dont show the division by2",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/12/2022 16:32:55",
"content": "right, but you can divide the top and bottom by 2 and then use the formulas you gave",
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"id": 1041105537632317600,
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"timestamp": "11/12/2022 16:41:42",
"content": "okey",
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"id": 1041113088470036600,
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"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 17:11:43",
"content": "@Robinson crusoer Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 17:11:59",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 5cb31a43ced04cc391d8e7b5ab4776da |
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