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"timestamp": "11/03/2022 11:52:22",
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] | help-9 | 1173412695434e8fa5f74033e17b399e |
201,366 | [
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"timestamp": "11/03/2022 12:06:28",
"content": "Available help channel!",
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"author_id": 784868680332476400,
"author_name": "ILY (twerk)",
"timestamp": "11/03/2022 12:08:02",
"content": "linear programming question: i need help with part 3. im not sure which constraints to use and if its the big M method.",
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"timestamp": "11/03/2022 12:23:03",
"content": "@ILY (twerk) Has your question been resolved?",
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"timestamp": "11/03/2022 12:23:17",
"content": "@Helpers",
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"timestamp": "11/03/2022 12:53:17",
"content": "@ILY (twerk) Has your question been resolved?",
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"timestamp": "11/03/2022 13:53:25",
"content": "@ILY (twerk) Has your question been resolved?",
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"timestamp": "11/03/2022 16:23:50",
"content": "@ILY (twerk) Has your question been resolved?",
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"timestamp": "11/03/2022 20:27:09",
"content": "@ILY (twerk) Has your question been resolved?",
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"id": 1037891688833749000,
"author_id": 697831506936070300,
"author_name": "juan.",
"timestamp": "11/03/2022 20:51:01",
"content": "thanks to you guys for the help I got good grades thanks to you.",
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{
"id": 1037946080337342500,
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"timestamp": "11/04/2022 00:27:09",
"content": "Channel closed",
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] | help-9 | c239c6ac87d5463f8e2210a6032abbe3 |
201,367 | [
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"id": 1037951046825295900,
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 00:46:53",
"content": "Available help channel!",
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{
"id": 1037952387165470700,
"author_id": 439567476498366460,
"author_name": "whatamidoing",
"timestamp": "11/04/2022 00:52:13",
"content": "I've tried factorising and I don't exactly rmb how to convert this to log form either",
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"timestamp": "11/04/2022 00:52:13",
"content": "Pinned a message.",
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"author_id": 1001332337423949800,
"author_name": "asakura_akio",
"timestamp": "11/04/2022 01:01:31",
"content": "I think if you multiply the equation by 10^x you can solve it",
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"author_name": "asakura_akio",
"timestamp": "11/04/2022 01:01:53",
"content": "Just replace 10^x with a variable like a and solve for a (it's gonna be a quadratic)",
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{
"id": 1037954994319675400,
"author_id": 1001332337423949800,
"author_name": "asakura_akio",
"timestamp": "11/04/2022 01:02:34",
"content": "Then replace back a as 10^x and solve for x using the log formula bring the exponent to the front",
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"id": 1037955376567558100,
"author_id": 439567476498366460,
"author_name": "whatamidoing",
"timestamp": "11/04/2022 01:04:06",
"content": "When will I learn that I can just turn everything into another unknown.",
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"author_name": "whatamidoing",
"timestamp": "11/04/2022 01:04:08",
"content": "Thanks",
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"author_id": 439567476498366460,
"author_name": "whatamidoing",
"timestamp": "11/04/2022 01:05:14",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 01:05:15",
"content": "Channel closed",
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] | help-9 | d004d44ae1c147a6ae8e3683fb9daed2 |
201,368 | [
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"timestamp": "11/04/2022 01:06:15",
"content": "Available help channel!",
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{
"id": 1037956349541232600,
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"author_name": "Edi",
"timestamp": "11/04/2022 01:07:58",
"content": "can someone help me with these 2?",
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"timestamp": "11/04/2022 01:07:58",
"content": "Pinned a message.",
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"author_name": "Edi",
"timestamp": "11/04/2022 01:08:29",
"content": "I dont rly have a clue about vectorspaces rn but im informing myself currently and i will write my thoughts in here as far as i can",
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{
"id": 1037960255629430800,
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"timestamp": "11/04/2022 01:23:29",
"content": "@Edi Has your question been resolved?",
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"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "11/04/2022 01:32:30",
"content": "I recommend that you learn a lot about them before you try to solve problems with them",
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"author_name": "SlowBrosRUs",
"timestamp": "11/04/2022 01:32:33",
"content": "they're tricky",
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"author_name": "Edi",
"timestamp": "11/04/2022 01:32:41",
"content": "alright will do",
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"timestamp": "11/04/2022 02:02:41",
"content": "@Edi Has your question been resolved?",
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"timestamp": "11/04/2022 03:02:46",
"content": "@Edi Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 89640ffae43b4f6ca6e14719747d7594 |
201,369 | [
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"id": 1038002822341476500,
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 04:12:38",
"content": "Available help channel!",
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},
{
"id": 1038007364768505900,
"author_id": 277845894156517380,
"author_name": "Dombat100",
"timestamp": "11/04/2022 04:30:41",
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"timestamp": "11/04/2022 04:30:41",
"content": "Pinned a message.",
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"id": 1038007433341173800,
"author_id": 277845894156517380,
"author_name": "Dombat100",
"timestamp": "11/04/2022 04:30:57",
"content": "I need a hand with b and c",
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{
"id": 1038007496289292300,
"author_id": 277845894156517380,
"author_name": "Dombat100",
"timestamp": "11/04/2022 04:31:12",
"content": "This is the fixed point theorum for reference",
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{
"id": 1038007564408991700,
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"author_name": "Dombat100",
"timestamp": "11/04/2022 04:31:28",
"content": "I dont really know how to show that this function follows these rules",
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"author_name": "Dombat100",
"timestamp": "11/04/2022 04:31:42",
"content": "Quite confusing",
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 04:46:42",
"content": "@Dombat100 Has your question been resolved?",
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"author_name": "Toby",
"timestamp": "11/04/2022 04:48:38",
"content": "the hint helps with property 3",
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"timestamp": "11/04/2022 05:01:42",
"content": "Channel closed",
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] | help-9 | 9b150033e6b343dc882a4cdd0e7ebabb |
201,370 | [
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"timestamp": "11/04/2022 06:33:55",
"content": "Available help channel!",
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"id": 1038043382112583700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/04/2022 06:53:48",
"content": "Could I get help with q2",
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"content": "Pinned a message.",
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"id": 1038043550069313500,
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"author_name": "waterr beam",
"timestamp": "11/04/2022 06:54:28",
"content": "Is part a right? And also for b",
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{
"id": 1038043576900259800,
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"author_name": "waterr beam",
"timestamp": "11/04/2022 06:54:34",
"content": "What formula would I use",
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"id": 1038044138123309000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/04/2022 06:56:48",
"content": "25 + 8k = 0 is correct\nk = 8/25 is not",
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{
"id": 1038044240783097900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/04/2022 06:57:12",
"content": "Am I supposed to convert it into a fraction or no",
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{
"id": 1038044384903565400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/04/2022 06:57:47",
"content": "k is a fraction, yes, but not equal to 8/25",
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{
"id": 1038044430478872600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/04/2022 06:57:58",
"content": "Solve 25 + 8k = 0 carefully step by step",
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{
"id": 1038044432534089700,
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"author_name": "waterr beam",
"timestamp": "11/04/2022 06:57:58",
"content": "So 25/8 maybe?",
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{
"id": 1038044454029905900,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/04/2022 06:58:03",
"content": "or",
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},
{
"id": 1038044470983274500,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/04/2022 06:58:07",
"content": "Are you sure about the sign there?",
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{
"id": 1038044497063444500,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "11/04/2022 06:58:14",
"content": "Would it be a negative",
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{
"id": 1038044522178945000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/04/2022 06:58:20",
"content": "Yes, k = -25/8",
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"content": "okay",
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"content": "ty",
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"content": "and for part b",
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"content": "i dont use the same formula so what would i do",
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"content": "For part b you have b^2 - 4ac > 0",
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"content": "ohhhhh",
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"content": "but wouldnt that get the same answer?",
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"content": "because its still b^2 - 4ac",
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"content": "This is an inequality instead of an equality, so no",
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"content": "so",
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"content": "8k > -25",
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"content": "k > -25/8",
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"content": "and then unreal would be",
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"content": "b^2 - 4ac < 0?",
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"content": "Yes",
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"content": "what about real and different then",
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"content": "Btw they may have meant the case when there's 1 root as well, it's unclear though",
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"content": "b^2 - 4ac > 0",
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"content": "ohh",
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"content": "so real roots can also be different",
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"timestamp": "11/04/2022 07:12:31",
"content": "then it would be same answer as part b right",
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"timestamp": "11/04/2022 07:13:38",
"content": "Yes but they may have meant b^2 - 4ac >= 0 for a",
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"timestamp": "11/04/2022 07:15:11",
"content": "huh",
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"content": "oh",
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"timestamp": "11/04/2022 07:18:54",
"content": "alright",
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"timestamp": "11/04/2022 07:34:09",
"content": "@waterr beam Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 3e86091484774a40b042f5e0ae9353b4 |
201,371 | [
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] | help-9 | 8812a1cf8a6142eda3709a017a7b59e1 |
201,372 | [
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"content": "Answer is C",
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"content": "I am not able to find out the angle of the arc",
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"id": 1038068751444213800,
"author_id": 183668144404037630,
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"timestamp": "11/04/2022 08:34:36",
"content": "the radii of the circles are equal",
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"content": "triangles PBQ and PAQ are equilateral",
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"content": "@Saske913",
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"content": "oh so the angle is 60 then?",
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] | help-9 | cb25a13d4fbe4b3c8cfcdfd08f8b29d5 |
201,373 | [
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"id": 1032814540078989300,
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"timestamp": "10/20/2022 20:36:15",
"content": "they dont ?",
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"content": "if they are all repeated the same amount of times",
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"content": "Pinned a message.",
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"content": "@frownyfrog Has your question been resolved?",
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"content": "yes thank you",
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"timestamp": "10/20/2022 20:58:35",
"content": ".close",
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] | help-9 | edd4c4c8320f4a9a965df4fd6342c8b0 |
201,374 | [
{
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{
"id": 1033269780746076200,
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"timestamp": "10/22/2022 02:45:12",
"content": "I dont know how can i solve this",
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"content": "Do you know about conjugate pairs?",
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"content": "like (1+i) (1-i) or not ?",
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"id": 1033270276810612700,
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"content": "Yes",
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"content": "If one root is a+ib",
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"content": "The other root is automatically a-ib",
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"timestamp": "10/22/2022 02:47:58",
"content": "(iff we have real coefficients)",
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"content": "so first one is 1-i right",
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"id": 1033270561243148400,
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"timestamp": "10/22/2022 02:48:19",
"content": "Yep",
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"content": "theother complex root 1+i",
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"id": 1033270890974171100,
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"content": "the other complex root is wrong",
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"id": 1033271041885208600,
"author_id": 607479321350635500,
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"content": "It asks for the two other roots",
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"content": "they are different than 1-i 1+i",
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"timestamp": "10/22/2022 02:50:29",
"content": "ok i see",
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"timestamp": "10/22/2022 02:50:35",
"content": "but how can i solve it",
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"id": 1033271161167036400,
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"author_name": "Pure",
"timestamp": "10/22/2022 02:50:42",
"content": ",w expand (x-1-i)(x-1+i)",
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"id": 1033271174274236400,
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"author_name": "TeXit",
"timestamp": "10/22/2022 02:50:45",
"content": "Results provided by WolframAlpha",
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"timestamp": "10/22/2022 02:50:50",
"content": "Conjugate pairs again I think",
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"timestamp": "10/22/2022 02:51:17",
"content": "what is this equation",
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"author_name": "Pure",
"timestamp": "10/22/2022 02:51:31",
"content": ",w simplify (x^4 -6x^3 +15x^2 -18x+10)/( x^2 -2x +2)",
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"content": "The other roots must be -1+I and -1-i",
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"timestamp": "10/22/2022 02:52:01",
"content": "Results provided by WolframAlpha",
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"timestamp": "10/22/2022 02:52:31",
"content": "it is not correct",
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"content": "Basically using the fact that you know 2 roots, form a quadratic factor",
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"timestamp": "10/22/2022 02:52:42",
"content": "Ye",
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"author_name": "Pure",
"timestamp": "10/22/2022 02:52:50",
"content": "Then divide the original expression by that factor",
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"content": "Solve the quotient =0",
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"timestamp": "10/22/2022 02:56:06",
"content": "I couldn't understand what we are trying to do",
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 03:11:07",
"content": "@SurvivalMonster Has your question been resolved?",
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"timestamp": "10/22/2022 03:16:10",
"content": "So you know that $p(x)$ can be factored and written as a product of its roots. So...\n\n$$p(x)=x^4-6x^3+15x^2-18x+10 = (x-1-i)(x-1+i)(x-a-bi)(x-a+bi)$$\nJust open up the brackets and compare to figure out the other two roots. Or else, you can use long division and perform $\\frac{p(x)}{(x-1)^2+1}$ to get a quadratic which would be extremely easy to factorise.",
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"timestamp": "10/22/2022 03:16:16",
"content": "**idecanymore**",
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"timestamp": "10/22/2022 03:20:21",
"content": "See they've already done that for you...\nSo you can write $$p(x)=(x-1+i)(x-1-i)(x^2-4x+5)$$\n$$= (x-1+i)(x-1-i)(x-2-i)(x-2+i)$$",
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"content": "**idecanymore**",
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"content": "Here",
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"timestamp": "10/22/2022 03:41:13",
"content": "@SurvivalMonster Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 48629eee87d44106a6ba698b8960ba37 |
201,375 | [
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"content": "Available help channel!",
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"timestamp": "11/04/2022 09:05:16",
"content": "Hey how can I solve this for Z?",
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] | help-9 | ee729c5cf5344c30a89b0db8e4b26460 |
201,376 | [
{
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"timestamp": "11/04/2022 09:19:43",
"content": "Find the points of intersection of the graph below and show its reciprocal",
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"author_name": "adxm24",
"timestamp": "11/04/2022 09:21:39",
"content": "I’m a bit confused on this and how to start any help is appreciated",
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"id": 1038082727766929400,
"author_id": 584737373993173000,
"author_name": "adxm24",
"timestamp": "11/04/2022 09:30:08",
"content": "What about this one",
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"id": 1038082755159924700,
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"author_name": "adxm24",
"timestamp": "11/04/2022 09:30:15",
"content": "Solve algebriacally^",
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"author_name": "adxm24",
"timestamp": "11/04/2022 09:30:18",
"content": "Anyone can help?",
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},
{
"id": 1038082862131454000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/04/2022 09:30:40",
"content": "? what's the function",
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"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/04/2022 09:30:53",
"content": "try get all x on one side of the inequality",
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"timestamp": "11/04/2022 09:31:04",
"content": "There’s no given function in the question",
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"timestamp": "11/04/2022 09:31:11",
"content": "This is what it asks",
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"author_name": "adxm24",
"timestamp": "11/04/2022 09:31:27",
"content": "How do I do that?",
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"author_name": "bo luo",
"timestamp": "11/04/2022 09:31:32",
"content": "well just look at where they intersect I guess",
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"timestamp": "11/04/2022 09:31:42",
"content": "well first get rid of the fractions",
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"timestamp": "11/04/2022 09:32:10",
"content": "They don’t intersect",
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"author_name": "bo luo",
"timestamp": "11/04/2022 09:32:24",
"content": "the x and y axis",
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"timestamp": "11/04/2022 09:32:26",
"content": "By multiplying?",
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"timestamp": "11/04/2022 09:32:32",
"content": "yes",
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"timestamp": "11/04/2022 09:47:26",
"content": "@adxm24 Has your question been resolved?",
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"author_id": 584737373993173000,
"author_name": "adxm24",
"timestamp": "11/04/2022 09:55:09",
"content": "I still don’t understand how to do this one",
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},
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"id": 1038089069827215500,
"author_id": 584737373993173000,
"author_name": "adxm24",
"timestamp": "11/04/2022 09:55:21",
"content": "Question: Find the points of intersection of the graph below and show its reciprocal",
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"id": 1038096620643963000,
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 10:25:21",
"content": "@adxm24 Has your question been resolved?",
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"content": "",
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"id": 1038097965010665500,
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"author_name": "adxm24",
"timestamp": "11/04/2022 10:30:41",
"content": "What is the equation for the graph below?",
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"id": 1038098003715690500,
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"timestamp": "11/04/2022 10:30:51",
"content": "Does anyone know how to do this? Help is appreciated",
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},
{
"id": 1038099951818903600,
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"timestamp": "11/04/2022 10:38:35",
"content": "@Helpers",
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},
{
"id": 1038102367293415400,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "11/04/2022 10:48:11",
"content": "im not sure but it looks like a csc(x)",
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},
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"id": 1038102792100925400,
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"timestamp": "11/04/2022 10:49:52",
"content": "I thought that too but it’s not",
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"id": 1038102812401336300,
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"timestamp": "11/04/2022 10:49:57",
"content": "Each graph is wider",
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"timestamp": "11/04/2022 11:49:57",
"content": "@adxm24 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 9cb86717ef8d41779456c633b141f2db |
201,377 | [
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{
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"author_id": 441994547610910700,
"author_name": "Lawnmower Man",
"timestamp": "11/04/2022 12:08:08",
"content": "how can i show if this is true",
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"content": "Pinned a message.",
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"id": 1038122856556548100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/04/2022 12:09:36",
"content": "multiple ways",
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},
{
"id": 1038123092146409500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/04/2022 12:10:32",
"content": "one potentially fun way is to say that x^2 + y^2 = 1 implies there exists t ∈ R such that x = cos(t) and y = sin(t)",
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"author_name": "Lawnmower Man",
"timestamp": "11/04/2022 12:12:36",
"content": "hoo??",
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"id": 1038123729944854700,
"author_id": 441994547610910700,
"author_name": "Lawnmower Man",
"timestamp": "11/04/2022 12:13:04",
"content": "wait i am confused",
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"author_id": 441994547610910700,
"author_name": "Lawnmower Man",
"timestamp": "11/04/2022 12:13:10",
"content": "it says for all",
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"id": 1038123800824398000,
"author_id": 441994547610910700,
"author_name": "Lawnmower Man",
"timestamp": "11/04/2022 12:13:21",
"content": "so we cant just choose a random number right?",
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"id": 1038126948162994300,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "11/04/2022 12:25:51",
"content": "The way I would do it if that change of variables is not obvious is to notice that (x-y)^2 >= 0",
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"timestamp": "11/04/2022 12:26:23",
"content": "hmmm",
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"timestamp": "11/04/2022 12:41:23",
"content": "@Lawnmower Man Has your question been resolved?",
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"content": ".close",
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"timestamp": "11/04/2022 13:05:57",
"content": "Channel closed",
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}
] | help-9 | a47752e080864c25a2d19a68db8126cd |
201,378 | [
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"timestamp": "11/04/2022 13:10:10",
"content": "part d help plz",
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},
{
"id": 1038139379195052200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/04/2022 13:15:15",
"content": "what have you tried?",
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"id": 1038139380059087000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "11/04/2022 13:15:15",
"content": "this a test?",
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},
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"id": 1038139426431307900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/04/2022 13:15:26",
"content": "Also that ^",
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"id": 1038140016410513400,
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"timestamp": "11/04/2022 13:17:47",
"content": "no",
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"timestamp": "11/04/2022 13:17:56",
"content": "so my thoughts r",
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"timestamp": "11/04/2022 13:18:28",
"content": "we gotta prove that its 1 an upper bound and 2 a least upper bound?",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/04/2022 13:19:04",
"content": "yep",
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"id": 1038140357000560600,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/04/2022 13:19:08",
"content": "but",
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},
{
"id": 1038140374058795000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/04/2022 13:19:12",
"content": "im not sure how to do that",
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"author_id": 334482942506041340,
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"timestamp": "11/04/2022 13:28:22",
"content": "can you prove it's an upper bound?",
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"timestamp": "11/04/2022 13:34:13",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "11/04/2022 13:49:13",
"content": "Channel closed",
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] | help-9 | 5ea578fb36ab4371b6f5d3b8ab657ffd |
201,379 | [
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] | help-9 | 0acc02cc5f094684953afa5db1dc5326 |
201,380 | [
{
"id": 1038148439214661800,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/04/2022 13:51:15",
"content": "Very cool",
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"id": 1038150079997034500,
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"author_name": "Circle",
"timestamp": "11/04/2022 13:57:46",
"content": "hm",
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{
"id": 1038151580102439000,
"author_id": 1034570095592231000,
"author_name": "hesperidin",
"timestamp": "11/04/2022 14:03:44",
"content": "work out vector from r1 to r2, dot product of this vector and direction vectors for both curves = 0?",
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"author_name": "riemann",
"timestamp": "11/04/2022 14:04:28",
"content": "you just use distance formula between two arbitrary points on r1 and r2 and minimize",
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"id": 1038151778765647900,
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"author_name": "hesperidin",
"timestamp": "11/04/2022 14:04:31",
"content": "the task is to find shortest distance",
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"id": 1038151812387192800,
"author_id": 1034570095592231000,
"author_name": "hesperidin",
"timestamp": "11/04/2022 14:04:40",
"content": "oh idk that formula",
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"id": 1038151983036629000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/04/2022 14:05:20",
"content": "https://en.wikipedia.org/wiki/Euclidean_distance",
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"timestamp": "11/04/2022 14:05:32",
"content": "p = r1 and q = r2",
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"author_name": "hesperidin",
"timestamp": "11/04/2022 14:05:50",
"content": "ohh ok ill have a go thank you",
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"id": 1038152170371039400,
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"timestamp": "11/04/2022 14:06:05",
"content": "But you have two parameters :thinkies:",
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"id": 1038152194064666600,
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"author_name": "riemann",
"timestamp": "11/04/2022 14:06:11",
"content": "probably have to take two partials",
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"author_name": "hesperidin",
"timestamp": "11/04/2022 14:06:11",
"content": "ye i was gonna ask ;-;",
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"id": 1038152252902350800,
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"timestamp": "11/04/2022 14:06:25",
"content": "is this method not possible tho",
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"id": 1038152344715673600,
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"timestamp": "11/04/2022 14:06:46",
"content": "try it and share your work",
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"author_name": "hesperidin",
"timestamp": "11/04/2022 14:07:14",
"content": "i have a system of 2 equations but idk how to eliminate them for lambda and mu",
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"id": 1038152504443154400,
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"author_name": "hesperidin",
"timestamp": "11/04/2022 14:07:25",
"content": "so im not sure",
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"timestamp": "11/04/2022 14:08:36",
"content": "oh uh i get mu = - lambda, ill see if i can do anything with this",
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"timestamp": "11/04/2022 14:13:26",
"content": "ok i got an answer",
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"timestamp": "11/04/2022 14:13:31",
"content": ".close",
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] | help-9 | a38ee02f04084ae08c5a88e1833f05aa |
201,381 | [
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"content": ":thinkies: pain",
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"id": 1038156193157353500,
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"timestamp": "11/04/2022 14:22:04",
"content": "i don't envy you",
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"timestamp": "11/04/2022 14:22:30",
"content": "i am getting a different answer in terms of log",
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"timestamp": "11/04/2022 14:22:54",
"content": "but the answer is in terms of sin inverse",
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{
"id": 1038157133000229000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/04/2022 14:25:48",
"content": ",w integral sqrt(cot(x)) + sqrt(tan(x)) dx",
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"id": 1038157162662350800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/04/2022 14:25:55",
"content": "Results provided by WolframAlpha",
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"timestamp": "11/04/2022 14:26:14",
"content": "show the answer and differentiate it?",
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"timestamp": "11/04/2022 14:27:57",
"content": "shall i show you what i tried?",
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"timestamp": "11/04/2022 14:41:58",
"content": ".close",
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"timestamp": "11/04/2022 14:41:59",
"content": "Channel closed",
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] | help-9 | 6759376249604837aa61a8aa113a975b |
201,382 | [
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201,383 | [
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"timestamp": "11/04/2022 14:52:37",
"content": "fyi you'll need to repoen a new channel if you want to talk about your problem.",
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"timestamp": "11/04/2022 15:00:42",
"content": "Available help channel!",
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},
{
"id": 1038168021530841100,
"author_id": 561270415008333800,
"author_name": "Calamity",
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"content": "Pinned a message.",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "11/04/2022 15:09:09",
"content": "So there is this question... Where a spring is attached to a block of mass m and is stretched by x units, then to just lift the block upward Kx has to be equal to mg, I don't understand the physics behind it. There is a diagram I shown above for my question. NL=natural length of spring",
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"id": 1038168340520239200,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "11/04/2022 15:10:20",
"content": "This is a question of physics and I know I sent it here hoping for answer btw",
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"id": 1038170400082907300,
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"timestamp": "11/04/2022 15:18:31",
"content": ".close",
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},
{
"id": 1038170402809196500,
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"timestamp": "11/04/2022 15:18:32",
"content": "Channel closed",
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}
] | help-9 | a5ec898257064ba790607bd1bcce6a22 |
201,384 | [
{
"id": 1038170655889305600,
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"author_name": "Mathematics Bot",
"timestamp": "11/04/2022 15:19:32",
"content": "Available help channel!",
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},
{
"id": 1038171456955224000,
"author_id": 639830816540590100,
"author_name": "FoxyJnr987",
"timestamp": "11/04/2022 15:22:43",
"content": "N = 2²² - 1\n\nWrite N as the product of two integers, both of which are greater than 1000",
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},
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"timestamp": "11/04/2022 15:37:43",
"content": "@FoxyJnr987 Has your question been resolved?",
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"timestamp": "11/04/2022 15:45:18",
"content": "@Helpers",
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"timestamp": "11/04/2022 16:40:01",
"content": "@FoxyJnr987 Has your question been resolved?",
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"timestamp": "11/04/2022 16:41:19",
"content": "@Helpers",
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"id": 1038196007344812000,
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"timestamp": "11/04/2022 17:00:16",
"content": "@Helpers",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "11/04/2022 17:26:07",
"content": "use difference of two squares",
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"timestamp": "11/04/2022 18:00:17",
"content": "@FoxyJnr987 Has your question been resolved?",
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"author_name": "riemann",
"timestamp": "11/04/2022 18:27:29",
"content": "what didn't you get about the hint toby gave?",
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"timestamp": "11/04/2022 18:48:07",
"content": ".close",
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},
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"content": "Channel closed",
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}
] | help-9 | 501fa5cb81864257b239e9183c3fa6af |
201,385 | [
{
"id": 1033291679760912500,
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"content": "Available help channel!",
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},
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:15:03",
"content": "hello can someone help me with a discrete math question? i dont know if this the right channel",
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{
"id": 1033292392557719600,
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"content": "Pinned a message.",
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:16:12",
"content": "i did a) with a counter example but b i think has to be proven with a set proof and i am lost",
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"id": 1033292693637439500,
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"timestamp": "10/22/2022 04:16:15",
"content": "thanks",
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},
{
"id": 1033293527683174400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:19:34",
"content": "Choose the empty set",
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},
{
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:24:54",
"content": "Im sorry but could you explain à little bit more what do you mean ?",
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},
{
"id": 1033294950261071900,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:25:13",
"content": "Look at the case C = {}",
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},
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:36:39",
"content": "Does this make sense for a and b?",
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{
"id": 1033297857614192600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/22/2022 04:36:47",
"content": "Yes",
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:37:11",
"content": "thank you guys",
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},
{
"id": 1033298015177412700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:37:24",
"content": "Why'd you choose the sets A and B if they're arbitrary?",
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},
{
"id": 1033298075751555100,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:37:39",
"content": "I don't think that proves b",
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{
"id": 1033298115412897800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/22/2022 04:37:48",
"content": "Of course it does",
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},
{
"id": 1033298137470742700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/22/2022 04:37:53",
"content": "It's a counterexample",
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},
{
"id": 1033298219813326800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:38:13",
"content": "It doesn't show that such C doesn't exist",
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},
{
"id": 1033298338478555300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:38:41",
"content": "b is true since for all sets A and B there is C = {} such that AuC = BuC implies A = B",
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"id": 1033298524512735200,
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"author_name": "Denascite",
"timestamp": "10/22/2022 04:39:26",
"content": "That's not what b is saying tho",
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{
"id": 1033298690695249900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/22/2022 04:40:05",
"content": "If there exists C with AuC=BuC then A=B",
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},
{
"id": 1033298838733193200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:40:40",
"content": "Yes, such C exists for all A and B",
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},
{
"id": 1033298852737982600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:40:44",
"content": "That's what I'm saying",
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},
{
"id": 1033299085098229800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:41:39",
"content": "C isn't arbitrary",
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},
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"id": 1033299126575702000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/22/2022 04:41:49",
"content": "(if there exists a C with AuC=BuC) then (A=B)",
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},
{
"id": 1033299193856536700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:42:05",
"content": "Ah",
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},
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"id": 1033299200311558100,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:42:07",
"content": "I see now",
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},
{
"id": 1033299219211104300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/22/2022 04:42:11",
"content": "My bad",
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 04:52:11",
"content": "@cmpspablo01 Has your question been resolved?",
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"author_name": "cmpspablo01",
"timestamp": "10/22/2022 04:54:37",
"content": "Did I make any mistakes in this one ?",
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},
{
"id": 1033302464302161900,
"author_id": 789418934898131000,
"author_name": "Hamburgur",
"timestamp": "10/22/2022 04:55:05",
"content": "uh the lesson is based on quadratic formula",
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"id": 1033302496778670100,
"author_id": 789418934898131000,
"author_name": "Hamburgur",
"timestamp": "10/22/2022 04:55:13",
"content": "idrk what to do here",
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},
{
"id": 1033302547689128000,
"author_id": 789418934898131000,
"author_name": "Hamburgur",
"timestamp": "10/22/2022 04:55:25",
"content": "deadline is literally in 2 hours ;-;",
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},
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"id": 1033306457287958500,
"author_id": 574791948150374400,
"author_name": "cmpspablo01",
"timestamp": "10/22/2022 05:10:57",
"content": "maybe try to create another help request, they might not come back here",
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},
{
"id": 1033307641151234000,
"author_id": 574791948150374400,
"author_name": "cmpspablo01",
"timestamp": "10/22/2022 05:15:39",
"content": "close.",
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},
{
"id": 1033307735577596000,
"author_id": 574791948150374400,
"author_name": "cmpspablo01",
"timestamp": "10/22/2022 05:16:02",
"content": ".close",
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},
{
"id": 1033307738509418500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 05:16:02",
"content": "Channel closed",
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}
] | help-9 | 71be69fa0c994af0a31e6c21b34fd3b3 |
201,386 | [
{
"id": 1038223401891942400,
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"timestamp": "11/04/2022 18:49:08",
"content": "Available help channel!",
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},
{
"id": 1038223673565397100,
"author_id": 884869469825024100,
"author_name": "Sanemi",
"timestamp": "11/04/2022 18:50:13",
"content": "How to solve this on C ,with the help of cycle while ?",
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"timestamp": "11/04/2022 18:50:13",
"content": "Pinned a message.",
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"id": 1038224334461870100,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "11/04/2022 18:52:50",
"content": "what's the question",
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"timestamp": "11/04/2022 19:05:13",
"content": "@Sanemi Has your question been resolved?",
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201,387 | [
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"content": "can this be solved with\n$\\sqrt{ (2-x)^2 + (\\frac{1}{2} - x^2)^2 }$",
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"content": "$\\sqrt{ (2-x)^2 + (\\frac{1}{2} - x^2)^2 }$",
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"timestamp": "11/04/2022 19:47:05",
"content": "**minor2ndchar**",
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"timestamp": "11/04/2022 20:02:02",
"content": "@2ndchar Has your question been resolved?",
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"content": "yes",
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"timestamp": "11/04/2022 20:02:46",
"content": "fidning minimum of this is sufficient",
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"content": ".close",
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] | help-9 | 1fbbcac9809f47be8e5d51a79f35a444 |
201,388 | [
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"id": 1038244930159657000,
"author_id": 529206891931500540,
"author_name": "MoonLxght",
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"content": "V = lwh how do you solve for h",
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"content": "multiply both sides by $\\frac{1}{lw}$",
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"timestamp": "11/04/2022 20:17:32",
"content": "**Clarkie**",
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"content": "@MoonLxght Has your question been resolved?",
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] | help-9 | 1250b94858c34f34bc6e3d437d8eab5b |
201,389 | [
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"content": "$b$",
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"content": ".close",
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] | help-9 | 2dc8b87372eb4760a9d3162637727da3 |
201,390 | [
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"timestamp": "11/04/2022 21:00:33",
"content": "How do I evaluate this? It apparently converges to -2/15 but I don't know how to start this problem",
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"author_name": "HyperFirez",
"timestamp": "11/04/2022 21:02:00",
"content": "I know the formula a/1-r for geometric series but the different exponents are throwing me off and I'm unsure if I can use that here",
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"timestamp": "11/04/2022 21:06:16",
"content": "Hmm",
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"timestamp": "11/04/2022 21:06:21",
"content": "Welll",
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"id": 1038258002932801500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:06:37",
"content": "Here are two hints for u that will be enough to solve the question",
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"id": 1038258438901346400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:08:21",
"content": "hint number 1: $a^{m+n} = a^m \\cdot a^n$",
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"id": 1038258447772291100,
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"author_name": "TeXit",
"timestamp": "11/04/2022 21:08:23",
"content": "**♡LexQa♡**",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:10:27",
"content": "hint number two: $\\frac{a^{k}}{b^{k}} = (\\frac{a}{b})^{k}$",
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"timestamp": "11/04/2022 21:10:29",
"content": "**♡LexQa♡**",
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:10:40",
"content": "should give you an idea right?",
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"id": 1038259280702341100,
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"author_name": "HyperFirez",
"timestamp": "11/04/2022 21:11:42",
"content": "ah I already knew about both, I just forgot about number 1. My brain is all mixed up between this (Calc 2) and my Discrete class. Both classes are currently on Sequences/Series and it's very unpleasant. thanks lol",
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:12:03",
"content": "Oh yeah same boat",
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"id": 1038259417453436900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:12:15",
"content": "I'm taking calc 2/3 with discrete maths this semester",
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"id": 1038259444544438300,
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:12:21",
"content": "Very funky",
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"id": 1038259509598113800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:12:37",
"content": "Plus linear algebra too I suppose",
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"id": 1038259837236158500,
"author_id": 130932776462581760,
"author_name": "HyperFirez",
"timestamp": "11/04/2022 21:13:55",
"content": "welp I'm gonna attempt this problem before I close this out just to make sure I don't have any follow up questions, one sec",
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"id": 1038259886607323100,
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:14:06",
"content": "Oki doki",
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"author_name": "HyperFirez",
"timestamp": "11/04/2022 21:20:06",
"content": "hmm, so I broke it apart and got -2/9, and using the a/1-r I get 9/7. That is not right lol",
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:30:22",
"content": "What did you apply it as",
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:30:52",
"content": "although the answer -2/15 does seem a bit sussy",
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"timestamp": "11/04/2022 21:35:52",
"content": "@HyperFirez Has your question been resolved?",
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"author_name": "HyperFirez",
"timestamp": "11/04/2022 21:37:05",
"content": "Wdym?",
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"author_name": "♡A(lex)♡",
"timestamp": "11/04/2022 21:39:41",
"content": "Hmmm I think there is something wrong but I can't see it right now because it's so late",
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"timestamp": "11/04/2022 21:43:28",
"content": "Yeah idk how -2/15 would be the answer",
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"timestamp": "11/04/2022 22:13:28",
"content": "@HyperFirez Has your question been resolved?",
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"timestamp": "11/04/2022 23:14:00",
"content": "@HyperFirez Has your question been resolved?",
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"timestamp": "11/05/2022 00:14:00",
"content": "Channel closed",
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}
] | help-9 | 0aa3c67d19374e23b18aa6a152fd8078 |
201,391 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 03:01:05",
"content": "Available help channel!",
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},
{
"id": 1038350414573211600,
"author_id": 853110352487907300,
"author_name": "omnichan",
"timestamp": "11/05/2022 03:13:50",
"content": "There are some two-digit numbers such that the number when reversed increases by 36.\nLet the sum of all such possible two-digit numbers be x. Let the sum of digits of x be y.\nFind the remainder when (x+11) is divided by y.",
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"author_name": "omnichan",
"timestamp": "11/05/2022 03:14:12",
"content": "pls help",
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"id": 1038350627601915900,
"author_id": 853110352487907300,
"author_name": "omnichan",
"timestamp": "11/05/2022 03:14:41",
"content": "i got 39*187/10 💀",
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},
{
"id": 1038354124581896200,
"author_id": 498335485173956600,
"author_name": "jafar/جعفر",
"timestamp": "11/05/2022 03:28:34",
"content": "How did you even get that",
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"author_name": "jafar/جعفر",
"timestamp": "11/05/2022 03:28:54",
"content": "I did it and I got a normal 1 digit number as the remainder",
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"timestamp": "11/05/2022 03:33:55",
"content": "@omnichan Has your question been resolved?",
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"timestamp": "11/05/2022 03:48:55",
"content": "Channel closed",
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}
] | help-9 | 22efc3b84319453195beaedbb1b9503f |
201,392 | [
{
"id": 1038359496294142000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 03:49:55",
"content": "Available help channel!",
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},
{
"id": 1038360290225569900,
"author_id": 639368635907047400,
"author_name": "ネルフ",
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"timestamp": "11/05/2022 03:53:05",
"content": "Pinned a message.",
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"id": 1038360299704684500,
"author_id": 639368635907047400,
"author_name": "ネルフ",
"timestamp": "11/05/2022 03:53:07",
"content": "need help",
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},
{
"id": 1038360648565923800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/05/2022 03:54:30",
"content": "w^3 = 1\nw^6 = 1\n(w^2)^3 = 1 ?",
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"id": 1038361091970973700,
"author_id": 639368635907047400,
"author_name": "ネルフ",
"timestamp": "11/05/2022 03:56:16",
"content": "jeez thats a smart way of doing it",
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"id": 1038361134065000600,
"author_id": 639368635907047400,
"author_name": "ネルフ",
"timestamp": "11/05/2022 03:56:26",
"content": "thanks",
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"id": 1038361419978121200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/05/2022 03:57:34",
"content": "Generally when you wanna avoid evaluating a number just use its definition",
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"timestamp": "11/05/2022 03:57:56",
"content": "noted",
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"timestamp": "11/05/2022 04:12:57",
"content": "@ネルフ Has your question been resolved?",
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"timestamp": "11/05/2022 04:13:26",
"content": "Channel closed",
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}
] | help-9 | 6c3bb4be78c44f2e9efe80e69a0dec82 |
201,393 | [
{
"id": 1038366534600499200,
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"timestamp": "11/05/2022 04:17:53",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1038367280066724000,
"author_id": 751605650173460600,
"author_name": "Da Diamond Hoe",
"timestamp": "11/05/2022 04:20:51",
"content": "can anyone explain this",
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"timestamp": "11/05/2022 04:20:52",
"content": "Pinned a message.",
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"author_id": 480120872594571260,
"author_name": "MoAbuzaid",
"timestamp": "11/05/2022 04:22:27",
"content": "4 originally is 2^2",
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},
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"id": 1038367725346623500,
"author_id": 480120872594571260,
"author_name": "MoAbuzaid",
"timestamp": "11/05/2022 04:22:37",
"content": "And ln(4) is also ln(2)^2",
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},
{
"id": 1038368402076602400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 04:25:19",
"content": "aye aye",
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},
{
"id": 1038368406962974800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 04:25:20",
"content": "yeye",
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},
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"id": 1038368654372380800,
"author_id": 751605650173460600,
"author_name": "Da Diamond Hoe",
"timestamp": "11/05/2022 04:26:19",
"content": "yeah",
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"id": 1038368697988939800,
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"author_name": "Da Diamond Hoe",
"timestamp": "11/05/2022 04:26:29",
"content": "oh ok",
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"author_name": "Da Diamond Hoe",
"timestamp": "11/05/2022 04:26:33",
"content": ".close",
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"timestamp": "11/05/2022 04:26:34",
"content": "Channel closed",
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}
] | help-9 | 042455bdb2614ff499c1b3273b93eb55 |
201,394 | [
{
"id": 1038369808179286100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 04:30:54",
"content": "Available help channel!",
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},
{
"id": 1038370383910404100,
"author_id": 854482751944130600,
"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 04:33:11",
"content": "find all functions f:R-->R such that :\n$$f(x+f(y))=f(x)+f(f(y))+3xy^6+3x^2f(y)$$\nx;y are real number",
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"timestamp": "11/05/2022 04:33:12",
"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "11/05/2022 04:33:32",
"content": "**what do i live for v2.0**",
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"timestamp": "11/05/2022 04:33:49",
"content": "@Cogwheels of the mind",
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"timestamp": "11/05/2022 04:48:49",
"content": "@OceanicOrbit Has your question been resolved?",
"attachments": [],
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"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 04:56:12",
"content": "@Helpers",
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},
{
"id": 1038377174027227100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 05:00:10",
"content": "I guess answer is f(x)=x^3 no idea how yet, still thinking",
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"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 05:26:12",
"content": "@OceanicOrbit Has your question been resolved?",
"attachments": [],
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 05:30:00",
"content": "Almost done, in 20 minutes",
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"id": 1038385084778160100,
"author_id": 854482751944130600,
"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 05:31:36",
"content": "great",
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"id": 1038391239214628900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 05:56:03",
"content": "Don’t know how to complete it yet, I probably better post my idea first. Replace x with f(x), and by the symmetry of x and y in f(f(x)+f(y))-f(f(x))-f(f(y)) we obtain that f(x)y^6+f(x)^2f(y)=f(y)x^6+f(y)^2f(x), so we have f(x)(y^6-f(y)^2)=f(y)(x^6-f(x)^2)",
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"id": 1038391494240907300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 05:57:04",
"content": "When x and y don’t equal 0 we divide by f(x)f(y) both sides we obtain that x^6-f(x)^2=cf(x) for some constant c, for any real x",
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"id": 1038391531289198600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 05:57:13",
"content": "I am following this idea",
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},
{
"id": 1038393719239479400,
"author_id": 884869469825024100,
"author_name": "Sanemi",
"timestamp": "11/05/2022 06:05:55",
"content": "sorry for so late responding",
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"id": 1038394452340912100,
"author_id": 884869469825024100,
"author_name": "Sanemi",
"timestamp": "11/05/2022 06:08:49",
"content": "I don't have near myself",
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"id": 1038394593001078800,
"author_id": 884869469825024100,
"author_name": "Sanemi",
"timestamp": "11/05/2022 06:09:23",
"content": "It is all in Ukrainian,I'll translate it and then send it to you",
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{
"id": 1038396648956645400,
"author_id": 884869469825024100,
"author_name": "Sanemi",
"timestamp": "11/05/2022 06:17:33",
"content": "There's a maintenance break on the site I took the task from ,and it's gonna be available in 3 hours.",
"attachments": [],
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},
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"id": 1038401683291648000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 06:37:33",
"content": "@OceanicOrbit Has your question been resolved?",
"attachments": [],
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"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 06:40:40",
"content": "we can replace x by -f(y) \n=> f(-f(y))+f(f(y))-3y^6f(y)+3f(y)^3=0\nwhen f is odd \n=> f(-f(y))+f(f(y))=0\n=> f(y)=y^3 \nthen we must prove that f is odd \nthat maybe can help you ??",
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"id": 1038402890571718800,
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"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 06:42:21",
"content": "That’s the thing, I can only obtain that f(x)=f(-x) or f(x)+f(-x)+c=0",
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"id": 1038402974545883100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 06:42:41",
"content": "If I can rule out the first case and show that c=0",
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{
"id": 1038415290616270800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 07:31:38",
"content": "If you can show that there is no x doesn’t equal 0 such that f(x)=f(-x) then it’s done (same as showing f is injective actually), because f(c)+f(-c)+c=0 implies c=0, the whole thing is done then",
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"id": 1038416192261607600,
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"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 07:35:13",
"content": "yes",
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"id": 1038416224029265900,
"author_id": 854482751944130600,
"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 07:35:20",
"content": "tysm",
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"id": 1038416415130136600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "11/05/2022 07:36:06",
"content": "Don’t know how to proceed, if you solve it eventually tell me in discuss channel alright?",
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"id": 1038416497170714600,
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"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 07:36:25",
"content": "ok i will",
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"id": 1038416733238743200,
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"author_name": "OceanicOrbit",
"timestamp": "11/05/2022 07:37:22",
"content": ".close",
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},
{
"id": 1038416735826608300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 07:37:22",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | e48bf3159550459e9ad0f6527585f033 |
201,395 | [
{
"id": 1038416989208707100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 07:38:23",
"content": "Available help channel!",
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},
{
"id": 1038417066207752200,
"author_id": 1007395160612679800,
"author_name": "Norahc",
"timestamp": "11/05/2022 07:38:41",
"content": "hello, how can I solve this?",
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"timestamp": "11/05/2022 07:38:41",
"content": "Pinned a message.",
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{
"id": 1038417453266501600,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "11/05/2022 07:40:13",
"content": "Hmm so",
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},
{
"id": 1038417549953614000,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "11/05/2022 07:40:36",
"content": "ig you just have to divide $28$ by $5\\frac56$",
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},
{
"id": 1038417559525019600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/05/2022 07:40:39",
"content": "**n11**",
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"id": 1038417881861476400,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "11/05/2022 07:41:55",
"content": "Consider this: If you ate 10 candies in 5 minutes, then how many candies did you eat on average per minute?\n2 candies... how? you divided 10 by 5",
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"author_name": "Norahc",
"timestamp": "11/05/2022 07:42:23",
"content": "yes that makes sense",
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"id": 1038418029974921200,
"author_id": 1007395160612679800,
"author_name": "Norahc",
"timestamp": "11/05/2022 07:42:31",
"content": "but I still have no idea how to solve my problem",
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"id": 1038418066431807500,
"author_id": 1007395160612679800,
"author_name": "Norahc",
"timestamp": "11/05/2022 07:42:39",
"content": "I can't just take the answer that way I don't learn",
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"id": 1038418134102704100,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "11/05/2022 07:42:56",
"content": "You can do it like this",
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"id": 1038418249152467100,
"author_id": 510789298321096700,
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"timestamp": "11/05/2022 07:43:23",
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"content": "(dividing both sides by 5 5/6)",
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"content": "and then you can divide",
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"content": "ok how can I solve this then",
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"content": "don't do it that way",
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"content": "Consider: $\\frac{a}{b} ÷ \\frac{c}{d} = \\frac{a}{b} × \\frac{d}{c}$",
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"content": "This is a law",
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"content": "but taht was wrong apparently",
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"content": "how can this equal 35/6?",
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"content": "$\\frac{28×6}{35}=\\frac{4×6}{5}=\\frac{24}{5}=4\\frac45$",
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"content": "**n11**",
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"content": "I got that to 25/6",
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"content": "$a\\frac{b}{c}=a+\\frac{b}{c} = \\frac{ac+b}{c}$",
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"content": "**n11**",
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"content": "Did you do it this way ^",
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"content": "$5\\frac{5}{6}$ is just $5+\\frac{5}{6}$",
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"content": "**♡LexQa♡**",
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"content": "5 * 5 / 6",
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"content": "was the calculation I did",
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"timestamp": "11/05/2022 07:59:03",
"content": "I hate mixed fractions, they are one of the most useless notations learnt in school sigh",
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"content": "see what LexQa said ^ and after it what I",
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"content": "but this is the method I learnt",
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"content": "They are NOT being multiplied",
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"content": "so how do I calculate it otherwise",
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"timestamp": "11/05/2022 08:00:25",
"content": "again, this is the reason I hate mixed fractions",
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"content": "Just solve for it as you would solve for this",
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"content": "5+5/6",
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"timestamp": "11/05/2022 08:01:00",
"content": "5 whole and 5 6ths",
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"content": "this is the general rule for convering mixed fractions into improper ones",
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"content": "converting*",
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"content": "I can't understand that one",
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"content": "It basically says this",
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"content": "here is what khan academy says but I don't understnad that either",
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"content": "think of a, b, c as some numbers",
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"content": "that should be 5.#",
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"timestamp": "11/05/2022 08:02:33",
"content": "Nvm that was Transparent lmao",
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"content": "yes variables",
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"content": "6/6 is 1 so if you add that 5 times you should get 5",
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"content": "not 35",
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"content": "so I should do 5 * 6 then add that to the numerator?",
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"content": "Yep",
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"content": "indeed",
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"content": "that was correct",
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"timestamp": "11/05/2022 08:07:56",
"content": "thanks for the help, much appreciated",
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"content": ".close",
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] | help-9 | f164192d59ec423181d76d783bdcd2b6 |
201,396 | [
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 05:17:03",
"content": "Available help channel!",
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"author_name": "hatdog",
"timestamp": "10/22/2022 05:25:09",
"content": "Can anyone please help me with this? Thank you\n\nWhat is the missing number in the sequence: 4, 6,\n10, 18, ___, 66.\n1. 22\n2. 34\n3. 45\n4. 54",
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"timestamp": "10/22/2022 05:25:10",
"content": "Pinned a message.",
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"timestamp": "10/22/2022 05:25:56",
"content": "34",
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{
"id": 1033310243893022800,
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"author_name": "Ann",
"timestamp": "10/22/2022 05:26:00",
"content": "none of the above because it's 19",
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"id": 1033310297282330600,
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"timestamp": "10/22/2022 05:26:12",
"content": "by malicious compliance with underspecification",
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"timestamp": "10/22/2022 05:27:14",
"content": "that wouldn't be equal to 66",
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"timestamp": "10/22/2022 05:27:23",
"content": "if you keep adding 8 you will only find 34",
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"author_name": "Ann",
"timestamp": "10/22/2022 05:27:38",
"content": "who said the term right before 66 had to be equal to 66?",
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"author_name": "Ann",
"timestamp": "10/22/2022 05:28:09",
"content": "isn't it obvious? the sequence is given by the rule a_n = (77 n^5)/120 - (61 n^4)/6 + (1447 n^3)/24 - (493 n^2)/3 + (6167n)/30 - 88\n\n(/s)",
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"author_name": "hatdog",
"timestamp": "10/22/2022 05:28:52",
"content": "no its not obvious bro im not good at this subject lol",
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"id": 1033311023588974600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "10/22/2022 05:29:06",
"content": "Sarcasm",
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},
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"id": 1033311030647992300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/22/2022 05:29:07",
"content": "1. don't call me bro\n2. i was being sarcastic.",
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"id": 1033311170809036800,
"author_id": 801405997204766800,
"author_name": "hatdog",
"timestamp": "10/22/2022 05:29:41",
"content": ".close",
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"timestamp": "10/22/2022 05:29:42",
"content": "Channel closed",
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] | help-9 | 6dd525109df24a0394cdf1a9164dc062 |
201,397 | [
{
"id": 1038424736989970400,
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"author_name": "Mathematics Bot",
"timestamp": "11/05/2022 08:09:10",
"content": "Available help channel!",
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},
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"id": 1038426327033856100,
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"timestamp": "11/05/2022 08:18:02",
"content": "well it's 2cm *of straw* so yes, you take that into account at the end.",
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"content": "Channel closed",
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}
] | help-9 | f5d477263ea34098b33e8937ede7822a |
201,398 | [
{
"id": 1038436723404841000,
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"timestamp": "11/05/2022 08:56:48",
"content": "Available help channel!",
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},
{
"id": 1038439162208071700,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:06:29",
"content": "hey can this be factored even more? I am trying to factor this more because I am solving a limit problem that contains this",
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"timestamp": "11/05/2022 09:08:48",
"content": "yes",
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"timestamp": "11/05/2022 09:08:58",
"content": "(x+1)...",
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"id": 1038439944592564400,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:09:36",
"content": "how?",
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"id": 1038440036137451500,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:09:57",
"content": "I can't just take out x right?",
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{
"id": 1038440342824951800,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:11:11",
"content": "I tried putting this on symbolab but I don't remember encountering rational root theorem",
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"id": 1038440561096536000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:12:03",
"content": "well then you encounter it now",
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"id": 1038440583427014700,
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"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:12:08",
"content": "is it possible to factor it without that?",
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"id": 1038440679094878300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:12:31",
"content": "well the rational root theorem just tells you which numbers to check",
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"id": 1038440746388299800,
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"author_name": "Denascite",
"timestamp": "11/05/2022 09:12:47",
"content": "you could also just guess that x=-1 is a root",
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"id": 1038440868253814800,
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"author_name": "Denascite",
"timestamp": "11/05/2022 09:13:16",
"content": "not a completely weird guess here",
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"id": 1038441158285725700,
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"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:14:25",
"content": "yeah but is there no other way",
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{
"id": 1038441175448821800,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:14:29",
"content": "to factor this?",
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"id": 1038441579834257400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:16:05",
"content": "well cubic formula",
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"id": 1038441596263333900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:16:09",
"content": "but that's unusable by hand",
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"id": 1038441740853592200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:16:44",
"content": "factoring anything of degree >=3 usually involves rational root theorem, guessing or some tricks which only work for special cases",
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"id": 1038441752509550600,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:16:47",
"content": "damn okay so rational root theorem is the easiest?",
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"id": 1038441773338472600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:16:52",
"content": "by far",
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"id": 1038441776295465100,
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"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:16:52",
"content": "oh okay",
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},
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"id": 1038441829068181500,
"author_id": 422012576566738940,
"author_name": "steamhahasteamhaha",
"timestamp": "11/05/2022 09:17:05",
"content": "what grade do they teach this",
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"id": 1038442196539547800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/05/2022 09:18:32",
"content": "well when they usually teach how to solve cubics",
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"timestamp": "11/05/2022 09:32:06",
"content": "@steamhahasteamhaha Has your question been resolved?",
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] | help-9 | 0f9f816d62434389b392c925f843001d |
201,399 | [
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"author_id": 754994628083712100,
"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 09:34:43",
"content": "Proof of contradiction\nFor every a ∈ [0,∞) there is at least one x0 ∈ R such that x0^3 - ax0 = 0.\n\nFor every pair (x1, x2),(y1, y2) ℝ^2 holds:",
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"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 09:36:04",
"content": "this comes after \"holds\"",
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"id": 1038450363700891600,
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"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 09:51:00",
"content": "is the one a is element ... not correct since x0^3 - ax0 = 0 is not always possible due a being an element of [0,∞) and x0 is \"just element of/in R\"? but how do i write that down...",
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"timestamp": "11/05/2022 10:06:00",
"content": "@Bambusbjörn | Tina Has your question been resolved?",
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"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 10:43:44",
"content": "at for the second the contradiction in my eyes would be that no pair (...) holds ...",
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"id": 1038463754834300900,
"author_id": 754994628083712100,
"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 10:44:12",
"content": "@Helpers can anyone look over this and can give me some tips? :)",
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"timestamp": "11/05/2022 11:14:13",
"content": "@Bambusbjörn | Tina Has your question been resolved?",
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"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 12:01:59",
"content": "welp... guess i leave this unsolved like the other questions 🥹",
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"id": 1038483350840676400,
"author_id": 754994628083712100,
"author_name": "Bambusbjörn | Tina",
"timestamp": "11/05/2022 12:02:04",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 3e369f4408254b3bbd1f2aad709b2570 |
201,400 | [
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"timestamp": "11/05/2022 12:03:08",
"content": "Available help channel!",
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"id": 1038484213290250400,
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"content": "Pinned a message.",
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"author_name": "InfiniteAxis",
"timestamp": "11/05/2022 12:05:32",
"content": "uhh",
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"id": 1038484232470810600,
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"author_name": "InfiniteAxis",
"timestamp": "11/05/2022 12:05:35",
"content": "how do i do this",
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},
{
"id": 1038484614357987500,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "11/05/2022 12:07:06",
"content": "just substitute x = 1/3 and y = -2 to g(x)",
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"id": 1038484648679985200,
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"timestamp": "11/05/2022 12:07:14",
"content": "and then some elementary algebra then you'll get a",
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"id": 1038485194929361000,
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"timestamp": "11/05/2022 12:09:24",
"content": "ohhh",
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"id": 1038485205465452700,
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"author_name": "InfiniteAxis",
"timestamp": "11/05/2022 12:09:27",
"content": "im just overthinking it",
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"timestamp": "11/05/2022 12:24:27",
"content": "@InfiniteAxis Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 65e640f3054f4a0da3b96e649c0d0ea0 |
201,401 | [
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"timestamp": "11/05/2022 13:02:28",
"content": "Available help channel!",
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"id": 1038498788601512000,
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"author_id": 881568929154203600,
"author_name": "Echoparakeet",
"timestamp": "11/05/2022 13:17:25",
"content": "you can use pythagoras theorem to find CD",
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"timestamp": "11/05/2022 13:19:52",
"content": "On which sides?",
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"timestamp": "11/05/2022 13:20:51",
"content": "@Echoparakeet",
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"id": 1038504492037054600,
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"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/05/2022 13:26:05",
"content": "@MIDOS i think its easier to do (ii) then (i)",
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"timestamp": "11/05/2022 13:26:12",
"content": "consider using STewarts theorem",
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"id": 1038506364714107000,
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"author_name": "秋水",
"timestamp": "11/05/2022 13:33:31",
"content": "$$\\angle ABC = \\angle CBD$$\n$$\\frac{AB}{CB} =\\frac{16}{12}, \\frac{CB}{DB}=\\frac{12}{9} \\implies \\frac{AB}{CB} =\\frac{CB}{DB} $$\n $$\\implies \\triangle ABC \\sim \\triangle CBD$$",
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"timestamp": "11/05/2022 13:34:11",
"content": "**秋水**",
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"timestamp": "11/05/2022 13:38:32",
"content": "@MIDOS Has your question been resolved?",
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"timestamp": "11/05/2022 13:39:51",
"content": "oh wait i read the triangles wrong lol",
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"timestamp": "11/05/2022 13:40:49",
"content": "Where (ii)",
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"author_name": "MIDOS",
"timestamp": "11/05/2022 13:42:25",
"content": "Can you help with ii",
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"timestamp": "11/05/2022 13:42:36",
"content": "well then just use similar triangles",
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"timestamp": "11/05/2022 13:42:53",
"content": "$$\\frac{AC}{CD} = \\frac{BC}{BD} \\implies \\frac{10}{CD}=\\frac{12}{9}$$",
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"timestamp": "11/05/2022 13:42:53",
"content": "AC/CD = AB/BC",
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"timestamp": "11/05/2022 13:42:55",
"content": "**秋水**",
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"timestamp": "11/05/2022 13:43:09",
"content": "That's for (ii)?",
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"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/05/2022 13:43:37",
"content": "yes",
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"timestamp": "11/05/2022 13:44:41",
"content": "Oh",
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"timestamp": "11/05/2022 13:44:43",
"content": "I got it",
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"timestamp": "11/05/2022 13:44:50",
"content": "Tysm you guys",
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"timestamp": "11/05/2022 14:14:50",
"content": "@MIDOS Has your question been resolved?",
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"timestamp": "11/05/2022 14:14:58",
"content": "Channel closed",
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] | help-9 | 838fd5d2912f428ebc2a23cdac2277a8 |
201,402 | [
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"timestamp": "11/05/2022 14:30:43",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"id": 1038521447347404900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/05/2022 14:33:27",
"content": "Rule 1: if u want to translate something “a” units to the right, then replace x with (x-a). (Translating to the left means “a” is negative”",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/05/2022 14:34:21",
"content": "Rule 2) it’s literally the same thing for y. Translate vertically up “b” units, then replace y with (y-b). If vertically down, then “b” is negative",
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"content": "Channel closed",
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] | help-9 | dd14eb77b9094ca5ac21de0d95a01bdb |
201,403 | [
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"content": "Available help channel!",
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"id": 1038526269538713600,
"author_id": 207221360773169150,
"author_name": "Eve of Death",
"timestamp": "11/05/2022 14:52:37",
"content": "can someone explain how they took out the sqrt(3)x",
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"timestamp": "11/05/2022 14:52:38",
"content": "Pinned a message.",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/05/2022 14:52:54",
"content": "expand the square",
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"timestamp": "11/05/2022 14:52:57",
"content": "expand the (3x^2-1)^2",
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"timestamp": "11/05/2022 14:52:59",
"content": "sniped",
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"id": 1038526423629049900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "11/05/2022 14:53:14",
"content": ":catGiggle:",
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"id": 1038526462355046500,
"author_id": 646060251594096600,
"author_name": "ta",
"timestamp": "11/05/2022 14:53:23",
"content": "💀",
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"id": 1038526708330025100,
"author_id": 207221360773169150,
"author_name": "Eve of Death",
"timestamp": "11/05/2022 14:54:22",
"content": "expand it to be 1- ((3x^2-1)(3x^2-1))",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/05/2022 14:54:40",
"content": "and then FOIL",
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"id": 1038527027453636600,
"author_id": 207221360773169150,
"author_name": "Eve of Death",
"timestamp": "11/05/2022 14:55:38",
"content": "sqrt(1 - (9x^4-6x^2+1))",
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"id": 1038527515452518400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:57:34",
"content": "mhm",
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"id": 1038527522524115100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:57:36",
"content": "now",
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"id": 1038527528677155000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:57:37",
"content": "expand",
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"id": 1038527542249930800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:57:40",
"content": "remove the +1",
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"id": 1038527599346991200,
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"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:57:54",
"content": "and factor out 3x^2",
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"timestamp": "11/05/2022 14:58:46",
"content": "omg I see!",
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"id": 1038527883901153400,
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"author_name": "Eve of Death",
"timestamp": "11/05/2022 14:59:02",
"content": "thank you!",
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"author_name": "Springsskateboard",
"timestamp": "11/05/2022 14:59:06",
"content": "no problemo",
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"timestamp": "11/05/2022 14:59:49",
"content": ":AWOOKEN:",
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"timestamp": "11/05/2022 15:00:03",
"content": ".close",
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"timestamp": "11/05/2022 15:00:04",
"content": "Channel closed",
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] | help-9 | 93b458b6ac9240839f73624f5384ee49 |
201,404 | [
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"content": "Available help channel!",
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{
"id": 1038530323715199000,
"author_id": 118185757679550460,
"author_name": "Delete54321",
"timestamp": "11/05/2022 15:08:44",
"content": "This isnt a specific question, more of a conceptual question. I learned about the shell method and disk method in calc 2 the other day and I wanted to ask are there situations where one method is impossible to do? I understand that you want to pick the method that is easier but if you wanted to could you simply use the shell method or disk method for every problem of that type?",
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"content": ".close",
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] | help-9 | 13cdb98da73943e4b490be3463350379 |
201,405 | [
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"author_name": "yogurt",
"timestamp": "11/05/2022 15:57:41",
"content": "need help, idk what im doing wrong or even how to do this",
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"content": "@yogurt Has your question been resolved?",
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"timestamp": "11/05/2022 16:45:07",
"content": "@yogurt Has your question been resolved?",
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"timestamp": "11/05/2022 17:13:44",
"content": "@Helpers",
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"timestamp": "11/05/2022 18:13:44",
"content": "@yogurt Has your question been resolved?",
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"timestamp": "11/05/2022 18:55:52",
"content": "@Helpers",
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"timestamp": "11/05/2022 20:55:52",
"content": "@yogurt Has your question been resolved?",
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"timestamp": "11/05/2022 20:56:16",
"content": "@Helpers",
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"author_name": "Dyhíkreòn",
"timestamp": "11/05/2022 23:30:22",
"content": "@yogurt you might want to plot these points",
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"timestamp": "11/05/2022 23:30:31",
"content": "and use a calc to see the average rate of cchange",
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"timestamp": "11/05/2022 23:30:42",
"content": "in exponential",
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"author_name": "Dyhíkreòn",
"timestamp": "11/05/2022 23:31:13",
"content": "because the data is all over the place, about 0.94, 0.87, 0.83, and 0.86 rate of change respectively",
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"author_name": "Dyhíkreòn",
"timestamp": "11/05/2022 23:31:40",
"content": "so the average will be your coefficient for the exponential change, and you can create an equation from there and solve the rest of the problems",
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"timestamp": "11/05/2022 23:32:11",
"content": "@yogurt actually, i think you did pretty well",
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"content": "if you want to use 0.868 factor however, your equation will be 16600*(0.868)^x",
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"author_name": "Dyhíkreòn",
"timestamp": "11/05/2022 23:34:55",
"content": "and use a calculator to solve the rest of the problems",
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"content": "for c, you need algebra manipulation before getting the answer. you will also need logarithms",
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"content": "im going to sleep now, dm me if you need more",
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"timestamp": "11/06/2022 00:56:21",
"content": "@yogurt Has your question been resolved?",
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] | help-9 | 87fbf553e84f49acb6dcdb793ec7d898 |
201,406 | [
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"content": "I want to ask for help on b",
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"author_name": "Jelle",
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"content": "I'm not sure, but maybe you could approximate it as an integral, because the integral of 1/x is ln x",
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"content": ":hyperthonk: I think we're supposed to solve it by MVT or sth similar, but thanks",
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"content": "@soundofisilence Has your question been resolved?",
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"content": ".close",
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] | help-9 | ec84541d8b004040ab286006f19220b2 |
201,407 | [
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"author_name": "Mentos",
"timestamp": "10/22/2022 05:38:15",
"content": "Guys please can someone help me. I need the first derivative of -10x ^-1/5 My result Till now is 2x but i dont know how to continue with the ^-1/5",
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"timestamp": "10/22/2022 06:06:11",
"content": "**Noone**",
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] | help-9 | cc89a3386a5d41ae916aa4104a9f3b2e |
201,408 | [
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"content": "Available help channel!",
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{
"id": 1038745742925385900,
"author_id": 463135654683869200,
"author_name": "redshark",
"timestamp": "11/06/2022 04:24:44",
"content": "`P2/P1 = 0.71` how can I take P1 to the other side and multiply it with 0.71?",
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"content": "cross multiply",
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"timestamp": "11/06/2022 04:26:11",
"content": "ok thank u",
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"id": 1038746119565480000,
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"content": ".close",
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] | help-9 | 9ed1964706fc4356b68b4a2b85fe8959 |
201,409 | [
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"content": "tets",
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"content": "Pinned a message.",
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"content": "how come it's not aligned",
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"content": "wait",
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"content": "wrong one",
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"content": "how come it's not aligned",
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"timestamp": "11/06/2022 04:44:45",
"content": "yes 26 is still positive",
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"timestamp": "11/06/2022 04:44:52",
"content": "since both 13 and 2 are negative",
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"timestamp": "11/06/2022 04:45:51",
"content": "I did the exact thing my teacher did",
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"timestamp": "11/06/2022 04:45:55",
"content": "this",
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"timestamp": "11/06/2022 04:46:06",
"content": "why did u",
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"timestamp": "11/06/2022 04:46:08",
"content": "write ur gradient",
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 04:46:11",
"content": "as -13/5",
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"content": "wdym",
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"timestamp": "11/06/2022 04:46:20",
"content": "y2-y1",
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"timestamp": "11/06/2022 04:46:20",
"content": "it’s -13/7",
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"timestamp": "11/06/2022 04:46:40",
"content": "also u have a negative gradient",
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 04:46:44",
"content": "why is ur graph positive gradient",
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"timestamp": "11/06/2022 04:46:49",
"content": "u typed smth wrongly there as well",
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"author_name": "Gibo",
"timestamp": "11/06/2022 04:47:15",
"content": "I typed my result correctly",
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"id": 1038751471455445000,
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"author_name": "Gibo",
"timestamp": "11/06/2022 04:47:29",
"content": "I didn't notice the - 13/5",
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{
"id": 1038751487154729000,
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"author_name": "Gibo",
"timestamp": "11/06/2022 04:47:33",
"content": "that it's supposed to be 7",
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"timestamp": "11/06/2022 04:47:44",
"content": "where",
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"timestamp": "11/06/2022 04:48:01",
"content": "gradient is -13/7",
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"id": 1038751613847871500,
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 04:48:03",
"content": "negative",
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"id": 1038751643182837800,
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 04:48:10",
"content": "ur graph",
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},
{
"id": 1038751661436448800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 04:48:15",
"content": "is showing positive gradient",
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"timestamp": "11/06/2022 04:50:31",
"content": "still not alinged",
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"content": "why -13x",
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"content": "it’s +13x brah",
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"content": "the - 7 is bigger",
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"content": "remove the negative from the 13x",
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"content": "it will be aligned",
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"content": "@Springsskateboard",
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"content": "can u explain what my teacher did here",
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"content": "$$y-6= -\\frac{13}{7}(x+2)$$ so $$y=-\\frac{13}{7}x +\\frac{16}{7}$$ and therefore $$$7y+13x=16$$",
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"content": "**Springsskateboard**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"timestamp": "11/06/2022 04:54:11",
"content": "damn",
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"timestamp": "11/06/2022 04:54:13",
"content": "nice chalkboard",
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"timestamp": "11/06/2022 04:54:29",
"content": "ur teacher is finding everything at once",
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"timestamp": "11/06/2022 04:54:39",
"content": "using the formula y-y1=m(x-x1)",
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"content": "and that's what I did",
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"content": "except I gotta find the slope",
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"content": "and solve it",
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"content": "ok can we move at -6y-30=12x-24",
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"content": "he moved the 12x right",
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"content": "it became negatibe",
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"timestamp": "11/06/2022 04:55:53",
"content": "ve",
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"timestamp": "11/06/2022 04:56:07",
"content": "I did the same thing",
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"timestamp": "11/06/2022 04:56:25",
"content": "and somehow it's not correct",
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"timestamp": "11/06/2022 04:56:54",
"content": "which part are u talking abt",
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"timestamp": "11/06/2022 04:56:56",
"content": "exactly",
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"timestamp": "11/06/2022 04:57:19",
"content": "this",
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"timestamp": "11/06/2022 04:57:59",
"content": "it’s kinda hard for me to read ur chalkboard",
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"timestamp": "11/06/2022 04:58:08",
"content": "zoom in",
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"timestamp": "11/06/2022 04:59:25",
"content": "still hard bro",
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"timestamp": "11/06/2022 04:59:36",
"content": "is ur teacher’s answer 12x+6y=-6?",
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"content": "yes",
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"timestamp": "11/06/2022 04:59:55",
"content": "that’s not even simplified brah",
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"timestamp": "11/06/2022 04:59:59",
"content": "not 100% right",
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"timestamp": "11/06/2022 05:00:09",
"content": "it’s suppose to be 2x+y=-1",
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"content": "how come this aligned",
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"timestamp": "11/06/2022 05:00:39",
"content": "its",
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"content": "*",
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"timestamp": "11/06/2022 05:01:03",
"content": "because the points lie on the line",
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"timestamp": "11/06/2022 05:01:07",
"content": "also what ur teacher is doing",
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"timestamp": "11/06/2022 05:01:11",
"content": "is not rly needed",
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"timestamp": "11/06/2022 05:01:15",
"content": "it’s more work than needed",
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"timestamp": "11/06/2022 05:01:27",
"content": "u can solve this qn in 3-4 lines",
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"timestamp": "11/06/2022 05:01:44",
"content": "yes it will be aligned",
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"timestamp": "11/06/2022 05:01:47",
"content": "but it’s not simplified",
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"timestamp": "11/06/2022 05:01:57",
"content": "im not here to simplify",
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"timestamp": "11/06/2022 05:02:07",
"content": "I'm here to find the actual ax+by=c",
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"timestamp": "11/06/2022 05:02:10",
"content": "in essence u should simplify",
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"timestamp": "11/06/2022 05:02:19",
"content": "no thanks I wont",
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"timestamp": "11/06/2022 05:02:29",
"content": "ur marks, ur loss",
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"timestamp": "11/06/2022 05:02:32",
"content": "but yeah",
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"content": "man, can u just teach me",
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"timestamp": "11/06/2022 05:02:54",
"content": "don't include any simplify or some shit",
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"timestamp": "11/06/2022 05:03:29",
"content": "https://youtu.be/4vXqMsvPSv4",
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"timestamp": "11/06/2022 05:03:34",
"content": "great",
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"timestamp": "11/06/2022 05:03:41",
"content": "just great",
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"author_name": "synx",
"timestamp": "11/06/2022 05:03:43",
"content": "Are you doing linear equation?",
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"timestamp": "11/06/2022 05:03:48",
"content": "I asked for help not a youtube video",
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"content": "aligning line at points",
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"timestamp": "11/06/2022 05:04:04",
"content": "Hmm",
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"timestamp": "11/06/2022 05:04:07",
"content": "that YouTube video is help brah",
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"timestamp": "11/06/2022 05:04:22",
"content": "Yt explains it better tbh",
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"timestamp": "11/06/2022 05:04:24",
"content": "I don't have much time to watch that",
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"timestamp": "11/06/2022 05:04:29",
"content": "???",
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"timestamp": "11/06/2022 05:04:39",
"content": "it’s barely 5 mins",
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"timestamp": "11/06/2022 05:04:43",
"content": "and u spent like 20 mins here",
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"timestamp": "11/06/2022 05:05:04",
"content": "it's tomorrow bro.",
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"timestamp": "11/06/2022 05:05:14",
"content": "the video is 5 mins",
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"timestamp": "11/06/2022 05:05:22",
"content": "but ur choice",
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"timestamp": "11/06/2022 05:05:28",
"content": "if u wanna learn then watch",
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"timestamp": "11/06/2022 05:05:40",
"content": "ykw nvm",
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"id": 1038756108652793900,
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"author_name": "Gibo",
"timestamp": "11/06/2022 05:05:55",
"content": "it's much better for me to understand here",
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"id": 1038756154249060400,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:06:06",
"content": "but you guys just gave me a video",
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},
{
"id": 1038756255260487700,
"author_id": 804321091287515100,
"author_name": "synx",
"timestamp": "11/06/2022 05:06:30",
"content": "Explaining it by text is not that easy",
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},
{
"id": 1038756287913148500,
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"content": "texit",
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},
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"author_name": "Springsskateboard",
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"content": "the video literally has someone writing it out AND explaining it for u",
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"content": "bro ykw",
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"timestamp": "11/06/2022 05:07:48",
"content": "but if u choose to stay here I wish u all the best brah",
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"content": "fuck it",
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"id": 1038756637609046000,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:08:01",
"content": "I'm done",
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"id": 1038756655258673300,
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"timestamp": "11/06/2022 05:08:05",
"content": ".close",
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"id": 1038756657842372600,
"author_id": 805217272087838700,
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"timestamp": "11/06/2022 05:08:06",
"content": "Channel closed",
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}
] | help-9 | 642c193c13f44887804b8ac50cc3daf5 |
201,410 | [
{
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"content": "if someone was here except you, this could've been going well bro ngl",
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"content": "I don't even wanna fucking do it anymore",
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"id": 1038757242117292000,
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"content": "Channel closed",
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] | help-9 | ae4b01d541784a19a8cd2216cb2120ed |
201,411 | [
{
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"timestamp": "11/06/2022 05:19:07",
"content": "you just honestly make me mad bro ngl",
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"timestamp": "11/06/2022 05:20:07",
"content": "well, I’m sry",
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"timestamp": "11/06/2022 05:20:16",
"content": "I also get kinda mad at ur unwillingness to learn",
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"timestamp": "11/06/2022 05:20:21",
"content": "but I’m over it now",
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"timestamp": "11/06/2022 05:20:22",
"content": "Pinned a message.",
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"content": "wishing u all the best though my dude",
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"id": 1038759814668505100,
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] | help-9 | 08c0066fd22c46b18f0edf36b2bdbc44 |
201,412 | [
{
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"author_id": 808160464621535200,
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"timestamp": "11/06/2022 05:20:53",
"content": "I just wanna learn math for myself because I've been talking shit about math when I was young",
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"timestamp": "11/06/2022 05:21:03",
"content": "I watched the video earlier",
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{
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"author_id": 808160464621535200,
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"timestamp": "11/06/2022 05:21:10",
"content": "but it's explaining me completely different",
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"timestamp": "11/06/2022 05:24:40",
"content": "What are you currently trying to learn about?",
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"id": 1038761100352696300,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:25:45",
"content": "finding the line of two points using y-y1, m=y2-y1/x2-x1 (x-x1)",
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"author_name": "Kookiemon",
"timestamp": "11/06/2022 05:26:55",
"content": "And you are learning about the Point-Slope Formula?",
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"id": 1038761480725741600,
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"timestamp": "11/06/2022 05:27:16",
"content": "$y - y_{1} = m\\cdot (x - x_{1})$",
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"id": 1038761481736552400,
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"timestamp": "11/06/2022 05:27:16",
"content": "yes",
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"author_name": "TeXit",
"timestamp": "11/06/2022 05:27:18",
"content": "**Kookiemon**",
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"timestamp": "11/06/2022 05:27:50",
"content": "Is there something in particular that is confusing you?",
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"id": 1038761683499360300,
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"timestamp": "11/06/2022 05:28:04",
"content": "hm",
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"id": 1038761696413622300,
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"timestamp": "11/06/2022 05:28:07",
"content": "yes",
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"id": 1038761721151639600,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "11/06/2022 05:28:13",
"content": "finally some yummy lines on a graph",
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"timestamp": "11/06/2022 05:28:22",
"content": "this",
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"id": 1038761786771505200,
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"content": "",
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"timestamp": "11/06/2022 05:28:59",
"content": "one moment",
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"id": 1038761970393940000,
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"timestamp": "11/06/2022 05:29:13",
"content": "your graph is facing the wrong way",
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"id": 1038762003394740200,
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"content": "yes",
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"timestamp": "11/06/2022 05:29:29",
"content": "thats the problem",
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"id": 1038762071619272800,
"author_id": 581797621115387900,
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"timestamp": "11/06/2022 05:29:37",
"content": "try removing the - from 4",
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"id": 1038762090858557400,
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"timestamp": "11/06/2022 05:29:41",
"content": "wajt no",
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"timestamp": "11/06/2022 05:30:11",
"content": "@Gibo you need to negate your slope",
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"timestamp": "11/06/2022 05:30:24",
"content": "since its meant to go from right to left not left to right",
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"timestamp": "11/06/2022 05:30:24",
"content": "Available help channel!",
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},
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"author_id": 805217272087838700,
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"timestamp": "11/06/2022 05:30:24",
"content": "Pinned a message.",
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"timestamp": "11/06/2022 05:30:34",
"content": "REAL???",
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"id": 1038762362712367100,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:30:46",
"content": "what's negatate bro",
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"id": 1038762386309517300,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:30:52",
"content": "English is my 2nd",
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"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "11/06/2022 05:30:55",
"content": "nevermind",
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},
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"id": 1038762412687511600,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "11/06/2022 05:30:58",
"content": "so firstly",
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"id": 1038762458971652100,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "11/06/2022 05:31:09",
"content": "convert this thingy into slope intercept form",
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"timestamp": "11/06/2022 05:31:18",
"content": "-13x + 5y = -4",
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"timestamp": "11/06/2022 05:31:36",
"content": "$\\frac{-7 - 6}{5 - (-2)} = \\frac{-13}{7}$",
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"timestamp": "11/06/2022 05:31:38",
"content": "**Kookiemon**",
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"content": "5y= - 13x+4",
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"content": "now divide all sides by 5",
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"content": "ohhh ok",
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"content": "thats why its wrong your equation is wrong",
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"content": "whyts the 1 points you chose again?",
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"content": "-2 6",
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"content": "and the other?",
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"content": "@Gibo whats -2 - 5?",
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"content": "(this is x - x1)",
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"content": "now whats 6 - (-7)?",
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"content": "so the slope should be $\\frac{13}{-7}$",
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"content": "correct?",
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"content": "alr now you have the slope, and 2 points",
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"content": "move -7",
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"content": "to in front of y",
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"content": "-7y = ...",
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"content": "then?",
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"content": "-7(y-y1)",
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"content": "and the 13 is left",
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"content": "-7(y-y1) = 13(x-x1)?",
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"content": "i dont think they intended for it to be like that",
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"content": "i dont see any part in the slope point form where you split the slope into 2 parts..",
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"content": "I was typing like 1 syllables",
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"content": "cuz I'm eating",
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"content": "I'm dine eating",
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"content": "ok",
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"content": "I moved -7",
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"content": "to y-y1",
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"content": "now I multiply -7 with the y1",
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"content": "after I did that I removed the parentheses that's splitting the y and the -7",
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"content": "which made It -7y",
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"content": "alr thats one part",
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"content": "for x?",
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"content": "-7y-(the number that was multiplied)",
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"content": "13x-(number that was multiplied)",
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"content": "ok now put those 2 into an equation",
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"content": "and ill go check it with my graph calc",
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"content": "the thing I have was",
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"content": "psotive 7",
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"content": "OHHH",
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"content": "5 - - 2",
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"content": "put in positive 7",
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"content": "this",
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"content": "so your equation is",
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"content": "oh wait",
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"content": "that's the wrong one",
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"content": "that's 5",
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"content": "7y = 13x?",
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"content": "oh yeah rigjt",
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"timestamp": "11/06/2022 05:43:49",
"content": "yes positive 13",
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"timestamp": "11/06/2022 05:43:52",
"content": "congratulations",
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"content": "you actually got the equation",
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"timestamp": "11/06/2022 05:44:04",
"content": "wait",
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"author_name": "Gibo",
"timestamp": "11/06/2022 05:44:08",
"content": "but my teacher said",
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"timestamp": "11/06/2022 05:44:12",
"content": "divide everything to - 1",
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"timestamp": "11/06/2022 05:44:19",
"content": "which got me to -13x",
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"timestamp": "11/06/2022 05:44:27",
"content": "but why though??",
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"timestamp": "11/06/2022 05:44:42",
"content": "look",
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"timestamp": "11/06/2022 05:45:20",
"content": "@Gibo nvm",
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"timestamp": "11/06/2022 05:45:30",
"content": "you can do that",
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"timestamp": "11/06/2022 05:45:34",
"content": "I should divide it everything to -1",
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"timestamp": "11/06/2022 05:45:35",
"content": "it would make the equation",
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"timestamp": "11/06/2022 05:45:39",
"content": "which led me to negative 13x",
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"timestamp": "11/06/2022 05:45:44",
"content": "-13x - 7y = -16",
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"timestamp": "11/06/2022 05:45:51",
"content": "since you divide all sides by -1",
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"content": "",
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"content": "it's positive +7x",
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"timestamp": "11/06/2022 05:46:33",
"content": "remember divide EVERYTHING by -1",
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"timestamp": "11/06/2022 05:46:47",
"content": "-÷-=+",
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"id": 1038766401453830100,
"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:46:49",
"content": "right",
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"timestamp": "11/06/2022 05:46:53",
"content": "yes",
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"timestamp": "11/06/2022 05:47:02",
"content": "it's minus",
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"timestamp": "11/06/2022 05:47:05",
"content": "so",
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"timestamp": "11/06/2022 05:47:07",
"content": "but remember",
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"author_id": 808160464621535200,
"author_name": "Gibo",
"timestamp": "11/06/2022 05:47:33",
"content": "can you explain the full",
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"id": 1038766617875726300,
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"author_name": "insult",
"timestamp": "11/06/2022 05:47:41",
"content": "alr",
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"author_name": "Gibo",
"timestamp": "11/06/2022 05:47:46",
"content": "2 points to the ax+by=c",
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"author_name": "Gibo",
"timestamp": "11/06/2022 05:47:56",
"content": "it'll be much better if u draw it though",
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"id": 1038766735949574300,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "11/06/2022 05:48:09",
"content": "just a moment im not fluent in this form",
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"author_name": "Gibo",
"timestamp": "11/06/2022 05:48:14",
"content": "okok",
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"timestamp": "11/06/2022 05:48:15",
"content": "i usually use point slope form",
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"timestamp": "11/06/2022 05:48:25",
"content": "@Gibo im going to close this channel",
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"timestamp": "11/06/2022 05:48:29",
"content": "make a new one",
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"timestamp": "11/06/2022 05:48:34",
"content": ".close",
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"id": 1038766845337018400,
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"timestamp": "11/06/2022 05:48:35",
"content": "Channel closed",
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] | help-9 | d4d44522c1de4119b2ce4cc296294596 |
201,413 | [
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"timestamp": "11/06/2022 05:49:35",
"content": "Available help channel!",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 05:57:29",
"content": "Hi guys I have a pretty simple question. If i have lets says ``(x+3)^n+1*n^2/(n^2+1)*(x+3)^n``",
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"timestamp": "11/06/2022 05:59:00",
"content": "When I want to get rid of (x+3)^n+1 do i divide everything by (x+3)^n or do I just cancel it to be (x+3)?",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 05:59:21",
"content": "So far I managed to find that its the same thing but I want to verify before my exam in 2 days",
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"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "11/06/2022 06:01:28",
"content": "you do realize cancelling is literally a quick way of saying (x+3)^n+1/(x+3)^n = (x+3) right?",
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"timestamp": "11/06/2022 06:02:14",
"content": "Yes",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:02:25",
"content": "but do i have to divide rest of the terms",
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:02:31",
"content": "by (x+3)^n?",
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"timestamp": "11/06/2022 06:04:38",
"content": "like if i had n/n^2 +n you would divide everything by n^2",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:04:46",
"content": "or cancel it with n with n?",
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{
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"author_id": 896224543738306600,
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"timestamp": "11/06/2022 06:04:50",
"content": "Is it the same thing?",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:05:26",
"content": "I know its a pretty stupid question but I just want to know If I am doing something so fundamental of math correctly.",
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:07:25",
"content": "so u have $\\frac{n^2(x+3)^{n+1}}{(x+3)^{n}(n^2+1)}$?",
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"author_name": "TeXit",
"timestamp": "11/06/2022 06:07:28",
"content": "**Springsskateboard**",
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"timestamp": "11/06/2022 06:07:56",
"content": "yea",
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"timestamp": "11/06/2022 06:08:01",
"content": "okay",
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"timestamp": "11/06/2022 06:08:04",
"content": "so what’s the qn",
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"timestamp": "11/06/2022 06:08:16",
"content": "just need to cancel the x+3",
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"timestamp": "11/06/2022 06:08:33",
"content": "to get degree 1",
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"timestamp": "11/06/2022 06:08:52",
"content": "$\\frac{n^2(x+3)}{n^2 +1}$",
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"timestamp": "11/06/2022 06:08:55",
"content": "**Springsskateboard**",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:09:06",
"content": "Well here is a better way to put my question",
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},
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"timestamp": "11/06/2022 06:09:10",
"content": "",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:09:29",
"content": "So if i divide everything by n^2 i get 0",
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:09:42",
"content": "But when i cancel the n/n i get 1/n^2?",
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"timestamp": "11/06/2022 06:09:54",
"content": "what’s going on here ?",
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"id": 1038772255678808000,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:10:05",
"content": "Trying to simplify",
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"id": 1038772303179288600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:10:16",
"content": "just factor out n in denominator",
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:10:18",
"content": "Its limits as it gets to infinity",
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},
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"id": 1038772357977870300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:10:29",
"content": "oh limits",
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},
{
"id": 1038772370514653200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:10:32",
"content": "idk limits stuff",
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},
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"id": 1038772373706510300,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:10:33",
"content": "Yea I see but its not the same answer?",
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:11:16",
"content": "eh $\\frac{n}{n(n+1)}$ = $\\frac{1}{n+1}$",
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"timestamp": "11/06/2022 06:11:18",
"content": "**Springsskateboard**",
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"timestamp": "11/06/2022 06:11:32",
"content": "as n approaches infinity",
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"content": "denom approaches infinity",
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"timestamp": "11/06/2022 06:11:43",
"content": "yes",
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"timestamp": "11/06/2022 06:11:46",
"content": "thus its zero",
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"timestamp": "11/06/2022 06:11:52",
"content": "so it becomes 0",
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"timestamp": "11/06/2022 06:11:53",
"content": "yeye",
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"timestamp": "11/06/2022 06:11:59",
"content": "AYEEE I learnt limits",
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"timestamp": "11/06/2022 06:12:03",
"content": "hahaha",
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"timestamp": "11/06/2022 06:12:14",
"content": "My question is which one of this is correct simplification",
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"content": "",
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"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:12:20",
"content": "And why are they not the same.....",
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"id": 1038772936817004500,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:12:47",
"content": "Am i doing it wrong?",
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"id": 1038772955431325700,
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:12:52",
"content": "well the yellow one is not right",
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"id": 1038772973487804400,
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:12:56",
"content": "u can’t just cancel like that",
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{
"id": 1038772988948005000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:13:00",
"content": "cuz there’s a + there",
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},
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"id": 1038772992710295600,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:13:00",
"content": "Why not",
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"id": 1038773012629049300,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:13:05",
"content": "ahh",
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"id": 1038773017712537700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:13:06",
"content": "u can cancel factors",
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"id": 1038773068773986300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 06:13:19",
"content": "they must be multiplied and stuff",
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{
"id": 1038773129654308900,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:13:33",
"content": "I see",
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"id": 1038773328997007400,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:14:21",
"content": "so if its multiplication I can just cancel without dividing every value?",
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"id": 1038773458064121900,
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"timestamp": "11/06/2022 06:14:51",
"content": "yeah",
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{
"id": 1038773616151642200,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:15:29",
"content": "so why is the red and blue different?",
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"id": 1038773790215254000,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "11/06/2022 06:16:11",
"content": "I know we should also divide by the highest power of n but regardless",
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"timestamp": "11/06/2022 06:16:16",
"content": "why are they different?",
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"id": 1038777587771646000,
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 06:31:16",
"content": "@Ex-FighterMan0 Has your question been resolved?",
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"timestamp": "11/06/2022 07:01:34",
"content": "@Ex-FighterMan0 Has your question been resolved?",
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"timestamp": "11/06/2022 07:31:35",
"content": "Channel closed",
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}
] | help-9 | 3ee1f7d8f3eb42e283305d6d5d8a7b13 |
201,414 | [
{
"id": 1038793022390935600,
"author_id": 805217272087838700,
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"timestamp": "11/06/2022 07:32:36",
"content": "Available help channel!",
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},
{
"id": 1038793394949996500,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "11/06/2022 07:34:05",
"content": "x+y+z = 1\nx^2+y^2+z^2 = 2 \nx^3+y^3+z^3 = 3\n\nx^5+y^5+z^5= ?",
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"timestamp": "11/06/2022 07:34:05",
"content": "Pinned a message.",
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"id": 1038793718460854400,
"author_id": 263139077782503420,
"author_name": "Faq",
"timestamp": "11/06/2022 07:35:22",
"content": ",w simplify (x^2 + y^2 + z^2) (x^3 + y^3 + z^3)",
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{
"id": 1038793831761596400,
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"timestamp": "11/06/2022 07:35:49",
"content": "Results provided by WolframAlpha",
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"timestamp": "11/06/2022 07:49:05",
"content": "@Schrödinger Has your question been resolved?",
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"timestamp": "11/06/2022 07:49:55",
"content": "omg",
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"timestamp": "11/06/2022 07:49:57",
"content": "bruh",
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"timestamp": "11/06/2022 08:19:57",
"content": "@Schrödinger Has your question been resolved?",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/06/2022 08:46:06",
"content": "Idk sorry",
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"content": "Channel closed",
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] | help-9 | cfc58cd50b1348c5b6c26367fb2fd67d |
201,415 | [
{
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"content": "Available help channel!",
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{
"id": 1038813164638322800,
"author_id": 759868016321101800,
"author_name": "Roxon",
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"content": "Pinned a message.",
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"id": 1038813240198709400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 08:52:56",
"content": ",rotate",
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},
{
"id": 1038813289305624600,
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"author_name": "TeXit",
"timestamp": "11/06/2022 08:53:08",
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"timestamp": "11/06/2022 08:53:40",
"content": "So density * volume = 0.98",
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"timestamp": "11/06/2022 08:54:04",
"content": "Plug in the given value of density and express volume using r",
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"id": 1038813641404862500,
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"author_name": "Roxon",
"timestamp": "11/06/2022 08:54:32",
"content": "Ok",
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"id": 1038813866580267000,
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"author_name": "Roxon",
"timestamp": "11/06/2022 08:55:26",
"content": "What do u mean",
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{
"id": 1038814279845027800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 08:57:04",
"content": "If the radius is r and the height is 18, what's the volume?",
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"id": 1038814342331764700,
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"author_name": "Roxon",
"timestamp": "11/06/2022 08:57:19",
"content": "18xr",
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"id": 1038814415656587400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 08:57:36",
"content": "18pir^2/3 *",
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"id": 1038814634280497200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 08:58:29",
"content": "So you have 0.43 * 6pir^2 = 980 (I converted kg to g cuz the density is given in g)",
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"id": 1038815053736067200,
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"author_name": "Roxon",
"timestamp": "11/06/2022 09:00:09",
"content": "What is the answer",
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{
"id": 1038815128054931600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:00:26",
"content": "We aren't here to give you the answers unfortunately",
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},
{
"id": 1038815157666721800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:00:33",
"content": "Just to guide you through",
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"id": 1038815337782722700,
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"author_name": "Roxon",
"timestamp": "11/06/2022 09:01:16",
"content": "So I need to work out the radius",
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"id": 1038815368224964600,
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"author_name": "Roxon",
"timestamp": "11/06/2022 09:01:24",
"content": "And have the density and mass and height",
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"id": 1038815525226168300,
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"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:02:01",
"content": "Yeah, you just need to solve 2.58 pi r^2 = 980",
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"id": 1038815566548439000,
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"timestamp": "11/06/2022 09:02:11",
"content": "Divide both sides by 2.58pi and take square root",
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"id": 1038815652196126700,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:02:31",
"content": "Where did 2.58 pie come from",
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"id": 1038815890919141400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:03:28",
"content": "Generally the volume of a cone is hpir^2/3",
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"id": 1038815930647584900,
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"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:03:38",
"content": "In this case h = 18, so V = 18pir^2/3 = 6pir^2",
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"timestamp": "11/06/2022 09:03:57",
"content": "Now we plug this into the equation density * volume = 980",
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"id": 1038816065444126800,
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"timestamp": "11/06/2022 09:04:10",
"content": "We get 0.43 * 6pir^2 = 980",
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},
{
"id": 1038816113632489600,
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"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:04:21",
"content": "0.43 multiplied by 6 is 2.58 so",
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{
"id": 1038816131097559000,
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"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:04:25",
"content": "2.58pir^2 = 980",
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},
{
"id": 1038816710075097200,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:06:43",
"content": "I got 120.908",
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"id": 1038816726814556300,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:06:47",
"content": "Then square root",
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},
{
"id": 1038816733689028700,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:06:49",
"content": "To give u",
"attachments": [],
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},
{
"id": 1038816810490921000,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:07:07",
"content": "10.995",
"attachments": [],
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"reference": null
},
{
"id": 1038817118591922300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 09:08:21",
"content": "Yeah, the answer is approximately 10.995",
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},
{
"id": 1038817157829628000,
"author_id": 759868016321101800,
"author_name": "Roxon",
"timestamp": "11/06/2022 09:08:30",
"content": "Thanks you",
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"author_name": "Roxon",
"timestamp": "11/06/2022 09:08:33",
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"timestamp": "11/06/2022 09:23:34",
"content": "@Roxon Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | c4bb489a4b354a71a5905eb35f446fbb |
201,416 | [
{
"id": 1038824975903240300,
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"timestamp": "11/06/2022 09:39:34",
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},
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"content": "X^2-6x=0",
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"content": "It seems easy but idk how to factor it because c is 0",
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"content": "when c is 0 it’s much simpler",
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"timestamp": "11/06/2022 09:41:29",
"content": "what’s common between x^2 and 6x",
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},
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"id": 1038825504943386600,
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"timestamp": "11/06/2022 09:41:40",
"content": "x",
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"content": "mhm",
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{
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"timestamp": "11/06/2022 09:41:54",
"content": "so factor that out",
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},
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"id": 1038825585864081500,
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:00",
"content": "and that’s abt it",
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},
{
"id": 1038825586489045000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/06/2022 09:42:00",
"content": "when the constant term is zero you can always factor out x lmao",
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"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:42:14",
"content": "so x-6?",
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},
{
"id": 1038825663903313900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:18",
"content": "nah",
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},
{
"id": 1038825679854239900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:22",
"content": "where did the x go",
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},
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"id": 1038825695364784100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:26",
"content": "the x u factored out",
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},
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"id": 1038825741623775400,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:42:37",
"content": "x(x-6)",
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},
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"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:39",
"content": "nice",
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},
{
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:42:41",
"content": "that’s it",
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},
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"id": 1038825763102806100,
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"timestamp": "11/06/2022 09:42:42",
"content": "boom",
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},
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"id": 1038825874503512000,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:43:08",
"content": "Bru",
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},
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"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:43:20",
"content": "",
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"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:43:25",
"content": "It said it was wrong",
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},
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"content": "@Springsskateboard",
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"id": 1038826292163907700,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "11/06/2022 09:44:48",
"content": "It says solve not factorise bruh",
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"timestamp": "11/06/2022 09:46:24",
"content": "Ya but it says solve by factoring",
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"id": 1038826763024875600,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "11/06/2022 09:46:40",
"content": "x(x-6)=0",
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},
{
"id": 1038826785820913800,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "11/06/2022 09:46:46",
"content": "dont you know how to proceed from there",
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},
{
"id": 1038826840216830100,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "11/06/2022 09:46:59",
"content": "x-6=0",
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},
{
"id": 1038826864736751700,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "11/06/2022 09:47:05",
"content": "x=?",
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},
{
"id": 1038827331684413600,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "11/06/2022 09:48:56",
"content": "Don't use quadratic formula I am mad I forgot c can't be 0",
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},
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"id": 1038827983290511500,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:51:31",
"content": "Bro im so confused",
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},
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:04",
"content": "beuh it says solve",
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{
"id": 1038828459625029600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:25",
"content": "u got x(x-6)=0",
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},
{
"id": 1038828479518625900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:30",
"content": "so ur 2 roots are?",
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},
{
"id": 1038828531418943600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:42",
"content": "there are 2 numbers here",
"attachments": [],
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},
{
"id": 1038828540055003100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:44",
"content": "x",
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},
{
"id": 1038828549370548200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:53:46",
"content": "and x-6",
"attachments": [],
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},
{
"id": 1038828614134808700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:02",
"content": "so for x•(x-6) to be 0",
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},
{
"id": 1038828616760443000,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:54:02",
"content": "-1 and 6?",
"attachments": [],
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},
{
"id": 1038828642924511400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:08",
"content": "close but no",
"attachments": [],
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},
{
"id": 1038828682220937300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:18",
"content": "for x•(x-6) to be 0",
"attachments": [],
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"reference": null
},
{
"id": 1038828734070935600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:30",
"content": "one of them needs to be 0",
"attachments": [],
"mentions": [],
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},
{
"id": 1038828739934552000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:32",
"content": "any one",
"attachments": [],
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"reference": null
},
{
"id": 1038828772209721300,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:39",
"content": "so ull have 2 answers",
"attachments": [],
"mentions": [],
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},
{
"id": 1038828786923356300,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:54:43",
"content": "0 and -6",
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},
{
"id": 1038828803109163000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:47",
"content": "close",
"attachments": [],
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},
{
"id": 1038828821664772200,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:51",
"content": "why -6",
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},
{
"id": 1038828824772751400,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:54:52",
"content": "6",
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},
{
"id": 1038828831882084400,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:54:54",
"content": "Lol",
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},
{
"id": 1038828834973307000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:54:54",
"content": "yep",
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},
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"id": 1038828837863178200,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:54:55",
"content": "Mb",
"attachments": [],
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},
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"id": 1038828922839769100,
"author_id": 965807820505239600,
"author_name": "Kanye💯",
"timestamp": "11/06/2022 09:55:15",
"content": ".close",
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},
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"id": 1038828926203601000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 09:55:16",
"content": "Channel closed",
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}
] | help-9 | c62423ec62f94481849be949b23a96f8 |
201,417 | [
{
"id": 1038829177509515300,
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 09:56:16",
"content": "Available help channel!",
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},
{
"id": 1038829277568843900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 09:56:40",
"content": "how is part b (2, inf)",
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"timestamp": "11/06/2022 09:56:41",
"content": "Pinned a message.",
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"timestamp": "11/06/2022 09:56:48",
"content": "shouldnt it be (-2, inf)",
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},
{
"id": 1038829344904204300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 09:56:56",
"content": "since cube root of -8 is -2",
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{
"id": 1038829645262499800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:58:07",
"content": "shd be (-2,inf) iinw yeye",
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},
{
"id": 1038829676807868400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 09:58:15",
"content": "wait for someone else to check",
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},
{
"id": 1038829937072816300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 09:59:17",
"content": "oh yh im correct",
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"id": 1038829941778808800,
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"timestamp": "11/06/2022 09:59:18",
"content": "ight cool cheers",
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},
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"id": 1038830064122466400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 09:59:47",
"content": "could i have some help with c plz?",
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"id": 1038830121487962100,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:00:01",
"content": "ive got some ideas for it",
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},
{
"id": 1038830143612923900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:00:06",
"content": "if u want me to go first",
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"timestamp": "11/06/2022 10:02:32",
"content": "@Springsskateboard",
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"id": 1038831706288951300,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:06:19",
"content": "If 1/ln(2 + x) is in R, what do you know have to be true about x?",
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"id": 1038832110120734800,
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"timestamp": "11/06/2022 10:07:55",
"content": "x cannot equal - 2",
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"id": 1038832126151381000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:07:59",
"content": "since we cant do ln 0",
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"timestamp": "11/06/2022 10:08:16",
"content": "sry",
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"timestamp": "11/06/2022 10:08:16",
"content": "-2",
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"timestamp": "11/06/2022 10:08:25",
"content": "That is true yes",
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"timestamp": "11/06/2022 10:08:33",
"content": "And what about values less than -2?",
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"timestamp": "11/06/2022 10:09:26",
"content": "cant",
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"id": 1038832523951751300,
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"timestamp": "11/06/2022 10:09:34",
"content": "as we cant do ln of neg numbers",
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"timestamp": "11/06/2022 10:10:01",
"content": "so x must be greater than or equal to -1 but cant equal -2",
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"timestamp": "11/06/2022 10:10:12",
"content": "Exactly. So, so far we have if x is in R and 1/ln(2 + x) is in R, it follows -2 < x",
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"content": "is this correct?",
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"timestamp": "11/06/2022 10:10:42",
"content": "No",
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"timestamp": "11/06/2022 10:10:49",
"content": "how",
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"id": 1038832899316781200,
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"timestamp": "11/06/2022 10:11:03",
"content": "i changed it",
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"id": 1038832934309855400,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:11:12",
"content": "how about now?",
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"timestamp": "11/06/2022 10:11:40",
"content": "Still no",
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"timestamp": "11/06/2022 10:11:43",
"content": "how",
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"id": 1038833075204935800,
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"timestamp": "11/06/2022 10:11:45",
"content": "same thing u said",
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"id": 1038833125779841000,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:11:57",
"content": "x > -2 is same as x >= -1",
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:12:13",
"content": "We have so far that -2 < x, but we also need to exclude singleton 1 from 1/ln(2 + x)",
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:12:26",
"content": "When do we have 1/ln(2 + x) = 1?",
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"timestamp": "11/06/2022 10:12:50",
"content": "Not for real numbers, no",
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"timestamp": "11/06/2022 10:13:00",
"content": "oh yh sry",
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"id": 1038833420815573100,
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"timestamp": "11/06/2022 10:13:08",
"content": "but as of now",
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"timestamp": "11/06/2022 10:13:16",
"content": "before we sort out the = 1 part",
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"timestamp": "11/06/2022 10:13:28",
"content": "x > -2 and x not equal to -2??",
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"id": 1038833612344270800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:13:53",
"content": "Why wouldn't x be equal to 2?",
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"id": 1038833764576547000,
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"timestamp": "11/06/2022 10:14:30",
"content": "x > -2, x not equal to -2, x not equal to e-2",
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:15:13",
"content": "Well, no, because 1/ln(2 + x) for x = -2 would be 1/ln(2 + (-2)) = 1/ln(0), which is not defined.",
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"timestamp": "11/06/2022 10:15:23",
"content": "exactly",
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"timestamp": "11/06/2022 10:15:27",
"content": "so x cannot equal -2",
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:15:53",
"content": "It can't no, that's why we say -2 < x",
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"timestamp": "11/06/2022 10:16:19",
"content": "yh calm",
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:16:39",
"content": "Now, what do you get from solving 1/ln(2 + x) = 1?",
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"timestamp": "11/06/2022 10:16:45",
"content": "so x must be greater than -2 and not equal to e-2",
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"id": 1038834346519445500,
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"timestamp": "11/06/2022 10:16:48",
"content": "e - 2",
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"timestamp": "11/06/2022 10:17:14",
"content": "That seems correct",
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"id": 1038834640363987000,
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:17:58",
"content": "So you have that the interval is -2 < x, excluding x = e - 2",
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"id": 1038834673331228800,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:18:06",
"content": "so we can write x > -2 as (-2, inf)",
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"id": 1038834702943010800,
"author_id": 965586576161771500,
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"timestamp": "11/06/2022 10:18:13",
"content": "Si",
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"id": 1038834799479107600,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:18:36",
"content": "And then we need to exclude the one value",
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"id": 1038834831901065200,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:18:44",
"content": "so (-2, inf) \\ (e-2)",
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"id": 1038834835063582800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:18:45",
"content": "??",
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"id": 1038834864499208200,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:18:52",
"content": "Almost",
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"id": 1038834940839731200,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:19:10",
"content": "{e-2} is correct notation to use for excluding a single value",
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"id": 1038834979951607800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:19:19",
"content": "Instead of (e-2)",
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"id": 1038835000541462700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:19:24",
"content": "ok",
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"id": 1038835102303662200,
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"timestamp": "11/06/2022 10:19:49",
"content": "oh yh",
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"id": 1038835117143109600,
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"timestamp": "11/06/2022 10:19:52",
"content": "x cant be -1",
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"id": 1038835147216273500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:19:59",
"content": "cuz then undefined",
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"id": 1038835210256666800,
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"timestamp": "11/06/2022 10:20:14",
"content": "we forgot that",
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"id": 1038835261645279200,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:20:27",
"content": "Why can't x be -1?",
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"id": 1038835282587439200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:31",
"content": "2-1",
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"id": 1038835295212273700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:35",
"content": "ln 1",
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{
"id": 1038835301256282200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:36",
"content": "is 0",
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},
{
"id": 1038835305811288300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:37",
"content": "1/0",
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"id": 1038835312190824400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:39",
"content": "undefined",
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"id": 1038835354029006800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:20:49",
"content": "Huh, you're right",
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"id": 1038835365961814100,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:20:51",
"content": "Nice one",
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},
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"id": 1038835380281159700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:55",
"content": "boshhhhhhhhhhhhhhhhhhh",
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},
{
"id": 1038835393371578500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:20:58",
"content": "😂",
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{
"id": 1038835520949727400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:21:28",
"content": "so we can write it as (-2, inf) \\ {-1, e - 2}",
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"id": 1038835622086967400,
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"timestamp": "11/06/2022 10:21:52",
"content": "Yes",
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"id": 1038835633877164200,
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"author_name": "Mikkel",
"timestamp": "11/06/2022 10:21:55",
"content": "Exactly",
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"id": 1038835646262947800,
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"timestamp": "11/06/2022 10:21:58",
"content": "calm",
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"id": 1038835652264988800,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:22:00",
"content": "perfect",
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"id": 1038835665300881400,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 10:22:03",
"content": "that was nice tbh",
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"id": 1038835684473065500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 10:22:07",
"content": "thanks for the help buddy",
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"id": 1038835722054025200,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/06/2022 10:22:16",
"content": "🙏🙏",
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},
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"id": 1038839460470734800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 10:37:08",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "11/06/2022 10:41:52",
"content": "Channel closed",
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] | help-9 | 6f58ac0a3d7a42128ee423ed6f98f2ed |
201,418 | [
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"timestamp": "10/22/2022 06:09:16",
"content": "Available help channel!",
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"content": "first you should simplify \n$\\frac{\\sqrt{x}}{x}$",
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"content": "**Swas.py**",
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"content": "use exponent laws",
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"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:15:16",
"content": "But is my differention right?",
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"id": 1033322720823357400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "10/22/2022 06:15:34",
"content": "it is",
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"id": 1033322741882945700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "10/22/2022 06:15:39",
"content": "but you haven't simplified it",
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{
"id": 1033322809721622700,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:15:56",
"content": "Does it effect my answer?",
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"id": 1033322836804239500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "10/22/2022 06:16:02",
"content": "yeah",
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"id": 1033322852579037200,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:16:06",
"content": "If I didn’t simplify beforehand",
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"id": 1033322875261812900,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:16:11",
"content": "Oh man",
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{
"id": 1033322978873716900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "10/22/2022 06:16:36",
"content": "if you didn't simplify before its harder to diff then at the end you'll need to simplify anyway",
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"id": 1033323197275312100,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:17:28",
"content": "f(x)= x^-1/2 - 2",
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"id": 1033323216703324300,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:17:33",
"content": "After simplifying",
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"id": 1033323235854532600,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:17:37",
"content": "And then I ddx",
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"id": 1033323470014136300,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:18:33",
"content": "Ok ok I think I got it",
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"id": 1033323492877275300,
"author_id": 961953550987051000,
"author_name": "HstgH2",
"timestamp": "10/22/2022 06:18:38",
"content": "Thanks @Swas.py",
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"timestamp": "10/22/2022 06:33:39",
"content": "@HstgH2 Has your question been resolved?",
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"timestamp": "10/22/2022 06:48:39",
"content": "Channel closed",
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] | help-9 | 9df0548815b34ea88f33266ac7cd5580 |
201,419 | [
{
"id": 1038842405178310800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 10:48:50",
"content": "Available help channel!",
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"id": 1038843307024990200,
"author_id": 888861786227474600,
"author_name": "mxheba",
"timestamp": "11/06/2022 10:52:25",
"content": "I have no idea on what I'm supposed to do in this question",
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"timestamp": "11/06/2022 10:52:25",
"content": "Pinned a message.",
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"author_id": 408297823608635400,
"author_name": "ByShaDowZ",
"timestamp": "11/06/2022 10:53:24",
"content": "You need to think that x is a negative number and then solve the expressions = 1",
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"id": 1038843566472056800,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "11/06/2022 10:53:27",
"content": "Make all them four equal to 1",
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"id": 1038843590631248000,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "11/06/2022 10:53:32",
"content": "Then solve",
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{
"id": 1038843648453906400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/06/2022 10:53:46",
"content": "Not necessarily all of them",
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"id": 1038843694104727600,
"author_id": 888861786227474600,
"author_name": "mxheba",
"timestamp": "11/06/2022 10:53:57",
"content": "huh",
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"id": 1038843734843990000,
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"author_name": "burakyep",
"timestamp": "11/06/2022 10:54:07",
"content": "Yeah",
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{
"id": 1038843809204814000,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 10:54:24",
"content": "u can see alr",
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"id": 1038843813071953900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/06/2022 10:54:25",
"content": "eye it",
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"id": 1038843996249804800,
"author_id": 888861786227474600,
"author_name": "mxheba",
"timestamp": "11/06/2022 10:55:09",
"content": "so hold on do I put x as some random negative number for all the equations equal to 1 orr smth else",
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"id": 1038844107591799000,
"author_id": 352770255497461760,
"author_name": "Nya",
"timestamp": "11/06/2022 10:55:36",
"content": "no you can't pick a random value for x",
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{
"id": 1038844345656279000,
"author_id": 646060251594096600,
"author_name": "ta",
"timestamp": "11/06/2022 10:56:32",
"content": "do what burakyep suggested and if any of solutions include negative numbers they are true",
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"author_name": "mxheba",
"timestamp": "11/06/2022 10:56:58",
"content": "okay",
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"id": 1038844513315209300,
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"author_name": "mxheba",
"timestamp": "11/06/2022 10:57:12",
"content": "ill try it out and see if i get the right answer",
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"author_name": "mxheba",
"timestamp": "11/06/2022 11:03:01",
"content": "okay, I did it and I saw that I 3x +1 I - 1 =1, has x values of 1/3 and -1, is that the correct answer?",
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"id": 1038846213325336700,
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"timestamp": "11/06/2022 11:03:58",
"content": "yes",
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"author_id": 888861786227474600,
"author_name": "mxheba",
"timestamp": "11/06/2022 11:04:51",
"content": "okay thanks for the help everyone !",
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"id": 1038846450899112100,
"author_id": 888861786227474600,
"author_name": "mxheba",
"timestamp": "11/06/2022 11:04:54",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 11:04:55",
"content": "Channel closed",
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] | help-9 | 141a107840a4410d8f31784d9a0c1603 |
201,420 | [
{
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"timestamp": "11/06/2022 11:18:24",
"content": "Available help channel!",
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"id": 1038853777526116400,
"author_id": 635168127906218000,
"author_name": "TGHBombs",
"timestamp": "11/06/2022 11:34:01",
"content": "how would i do this and did i set it up or do i need to find the min and max to find the maximum area",
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"content": "Pinned a message.",
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"id": 1038855537246355500,
"author_id": 877939981858013200,
"author_name": "Ghost19",
"timestamp": "11/06/2022 11:41:01",
"content": "Hey,I need help in this question please,in a jar there are 23 red balls and 16 blue balls,we take out 7 balls of the jar (without return),what is the probability that at least 4 of them is blue?!",
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"author_name": "TGHBombs",
"timestamp": "11/06/2022 11:41:38",
"content": "sorry but this help is occupied use a different one but have a great day",
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"timestamp": "11/06/2022 11:56:38",
"content": "@TGHBombs Has your question been resolved?",
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"timestamp": "11/06/2022 11:56:52",
"content": "@Helpers",
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"id": 1038859802257915900,
"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 11:57:57",
"content": "should be 2x+5 not x^2+5",
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"author_id": 635168127906218000,
"author_name": "TGHBombs",
"timestamp": "11/06/2022 11:58:52",
"content": "ok do i have to find min max",
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"id": 1038860691920130200,
"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:01:30",
"content": "so now you want to find the max",
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"id": 1038860696672276600,
"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:01:31",
"content": "of the area",
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"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:01:33",
"content": "so whast the area expression",
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"timestamp": "11/06/2022 12:02:31",
"content": "i did this which found the width",
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"timestamp": "11/06/2022 12:03:32",
"content": "well it says the length needs to be at least 5 more than twice the wdith actually",
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"timestamp": "11/06/2022 12:03:37",
"content": "so you would have to do",
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"timestamp": "11/06/2022 12:03:59",
"content": "2w + l = 47",
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"id": 1038861326388314200,
"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:04:01",
"content": "and",
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"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:04:06",
"content": "l >= 2w + 5",
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"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:04:26",
"content": "then you have to maximize l*w",
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"author_name": "TGHBombs",
"timestamp": "11/06/2022 12:04:56",
"content": "wouldn’t it be w plus 2l equal 47",
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"id": 1038861638641668100,
"author_id": 635168127906218000,
"author_name": "TGHBombs",
"timestamp": "11/06/2022 12:05:15",
"content": "since it’s a rectangle with 3 sides since house makes the fourth",
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"author_name": "TGHBombs",
"timestamp": "11/06/2022 12:22:28",
"content": "@Helpers",
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"id": 1038866527115550800,
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"timestamp": "11/06/2022 12:24:41",
"content": "depends if the house is a length or a width",
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"timestamp": "11/06/2022 12:24:43",
"content": "hmm",
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"author_name": "TGHBombs",
"timestamp": "11/06/2022 12:25:11",
"content": "i think the house is the width which would make it bigger",
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"id": 1038866742262370300,
"author_id": 750032737447968800,
"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:25:32",
"content": "isnt the length bigger?",
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"author_id": 635168127906218000,
"author_name": "TGHBombs",
"timestamp": "11/06/2022 12:25:49",
"content": "yes and if the house is the width that makes the length bigger",
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"id": 1038866962085851100,
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"author_name": "𝒶𝓌𝑒𝓈𝑜𝓂𝑒𝓁𝑒𝑜𝓏𝑒𝒿𝒾𝒶",
"timestamp": "11/06/2022 12:26:24",
"content": "if the house is the length that would make the whole thing bigger though",
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"author_id": 635168127906218000,
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"timestamp": "11/06/2022 12:26:47",
"content": "it could",
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"timestamp": "11/06/2022 12:30:05",
"content": "would this be it which would make 273 the max",
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"timestamp": "11/06/2022 12:40:18",
"content": "@Helpers",
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"author_id": 635168127906218000,
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"timestamp": "11/06/2022 12:46:38",
"content": ".close",
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"timestamp": "11/06/2022 12:46:39",
"content": "Channel closed",
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] | help-9 | 345596a140df4dadac07871753b046f6 |
201,421 | [
{
"id": 1038872307386552400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 12:47:39",
"content": "Available help channel!",
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"id": 1038872680729944000,
"author_id": 849961886874730500,
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"timestamp": "11/06/2022 12:49:08",
"content": "when re writing this into a single interval\nhow do u know if the 2 will have a square bracket or a circle bracket?",
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"timestamp": "11/06/2022 12:49:09",
"content": "Pinned a message.",
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"id": 1038873727523356800,
"author_id": 646060251594096600,
"author_name": "ta",
"timestamp": "11/06/2022 12:53:17",
"content": "2 doesn't belong to both of the intervals. the definition of intersection says that it contains elements that belong to both intervals. [2,3] ∩ (2, pi) = (2,3]",
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"id": 1038875782157709300,
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"timestamp": "11/06/2022 13:01:27",
"content": "also here's an example: (2,3) means that all the real numbers from 2 to 3 belong to this interval except 2 and 3. it also is true for every x satisfying this condition: 2 < x < 3\n[2,3] means the same, but 2 and 3 belong to this interval. it could be written as 2 <= x <= 3",
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"timestamp": "11/06/2022 13:01:59",
"content": "how about if it was union",
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"timestamp": "11/06/2022 13:02:08",
"content": "why would it be closed bracket then?",
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"id": 1038876007165350000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "11/06/2022 13:02:21",
"content": "for 2",
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"id": 1038876348917235800,
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"author_name": "ta",
"timestamp": "11/06/2022 13:03:42",
"content": "the definition of union says that it includes all the elements that belong to any of the given intervals. so (2,pi) ∪ [2,3] = [2,pi)",
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"id": 1038876534607462500,
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"timestamp": "11/06/2022 13:04:27",
"content": "since 2 belongs to one of the intervals it also belongs to the union",
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"timestamp": "11/06/2022 13:17:21",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "11/06/2022 13:17:42",
"content": "thank u makes sense",
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"timestamp": "11/06/2022 13:17:44",
"content": ".close",
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"timestamp": "11/06/2022 13:17:45",
"content": "Channel closed",
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}
] | help-9 | 3eacc62ac8a343088709b3cefd48777a |
201,422 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 13:18:46",
"content": "Available help channel!",
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"id": 1038881313593229300,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:23:26",
"content": "A. Show that N = {1, -1} is a normal subgroup of G = Quaternion Group and then describe the quotient group, G / N.\n\n\n\nB. Show that H = {1, -1, j, -j} is a normal subgroup of G = Quaternion Group and then describe the quotient group, G / H and prove that G / H = Z / 2Z.",
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"timestamp": "11/06/2022 13:23:27",
"content": "Pinned a message.",
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:23:52",
"content": "So, I get that to be normal, gN must equal Ng.",
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"timestamp": "11/06/2022 13:24:28",
"content": "and I can show that, for B, gH = Hg and that, for A, gN = Ng.",
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{
"id": 1038881897234825200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:25:45",
"content": "But I'm not sure how I'm expected to describe the quotient groups, nor do I understand how G / H is congruent to Z / 2Z.",
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"id": 1038882344800628900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:27:32",
"content": "what are the elements of G/H",
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{
"id": 1038882372004884600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:27:38",
"content": "It doesn't help I'm lost on the Quaternion Groups, such as, what is its purpose, how was it invented?",
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:28:00",
"content": "G = {1, -1, i, -i, j,-j,k,-k}",
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"id": 1038882501680173200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:28:09",
"content": "H = {1,-1,j,-j}",
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{
"id": 1038882578788270100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:28:28",
"content": "elements of G / H....",
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{
"id": 1038883461487919200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:31:58",
"content": "would it just be {g / h | g is in G, h is in H}?",
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"id": 1038883729696899100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:33:02",
"content": "I started to write every possibility, but I got fumblefingers once I got to -1/i, which I don't even think would be in the group, right?",
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:35:59",
"content": "{1, -1, i, -i, j, -j, k, -k, -1/j, 1/j, i/j, -i/j, k/j, -k/j}",
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{
"id": 1038885854615179300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:41:29",
"content": "do you know what a quotient group is",
"attachments": [],
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"id": 1038886856139485200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:45:28",
"content": "Kind of?",
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:45:50",
"content": "2Z / Z would be {0, 1}, right? 👀",
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:46:16",
"content": "or would it be Z / 2Z?",
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{
"id": 1038887144145555600,
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:46:36",
"content": "The description of it loses me pretty quickly.",
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"id": 1038887332864073900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:47:21",
"content": "Z/2Z",
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{
"id": 1038887392154767500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:47:35",
"content": "group/subgroup",
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{
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:48:09",
"content": "okay, that helps clarify that at least! 🙏",
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"id": 1038887656244920300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:48:38",
"content": "but what are the elements of Z/2Z",
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{
"id": 1038887676876689500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:48:43",
"content": "they are *not* the numbers 0 and 1",
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{
"id": 1038888054393409700,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:50:13",
"content": "the definition of a quotient group I'm reading says G / N is the set of all cosets of N in G. Which utterly loses me.",
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{
"id": 1038888201152106600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:50:48",
"content": "A coset is a set of stuff for which every thing is in the set it is a coset of, yes?",
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"id": 1038888627553444000,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:52:30",
"content": "and G / N would just be all possible sets of stuff that G can make? I'm sure I'm falling off course here.",
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{
"id": 1038889601118511200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:56:22",
"content": "the elements of Z/2Z are 0+2Z={....,-4, -2, 0, 2, 4, ....} and 1+2Z = {....-5, -3, -1, 1, 3, 5, ....}",
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"id": 1038889811110547600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:57:12",
"content": "oh, so the quotient groups elements are every element in the group?",
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"id": 1038889870715797500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:57:26",
"content": "no",
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"id": 1038889910251302900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:57:36",
"content": "the element of the quotient groups are cosets like you said",
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"id": 1038889919285825700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:57:38",
"content": "they are sets",
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{
"id": 1038889953079337100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:57:46",
"content": "🫥",
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},
{
"id": 1038890003880759400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 13:57:58",
"content": "the whole set {..., -4, -2, 0, 2, 4, ...} is a single element in the quotient group",
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"id": 1038890209993039900,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 13:58:47",
"content": "okay, sorry, let me rephrase. The quotient group encompasses every element of the original group.",
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:00:58",
"content": "Z / 2Z does so with two elements of its own group, which are themselves sets of all elements of Z that satisfy 2Z + x where x is between 0 and (2-1)?",
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"id": 1038890794821632000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:01:07",
"content": "every element of the original group is in one of the cosets",
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{
"id": 1038890923683233800,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:01:37",
"content": "okay, and is that true of EVERY quotient group? such as this quaternion group?",
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"id": 1038890934055731300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:01:40",
"content": "the cosets form a partition of the original group",
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"id": 1038890959552925800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:01:46",
"content": "yes",
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"id": 1038891025931964500,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:02:02",
"content": "okay :checkmark:",
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{
"id": 1038891737902501900,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:04:51",
"content": "It also states that for every xN and yN in G / N, (xN)(yN) is (xy)N. but it doesn't say that this has to be in G / N nor G nor N. How can I make use of (xN)(yN) = (xyN) like I do with gN = Ng?",
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"id": 1038892708242149500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:08:43",
"content": "(xN)(yN)=(xy)N is the multiplication in the quotient group",
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},
{
"id": 1038892719948452000,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:08:46",
"content": "Also, if Z / 2Z = { {...,-4,-2,0,2,4,...}, {...,-5,-3,-1,1,3,5,...}}, how do you get to {0,1}? I know there's something in there to allow for that connection, but I do not understand that either.",
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"id": 1038892750055157800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:08:53",
"content": "gN=Ng is needed to make this well defined",
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},
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"id": 1038892842262741000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:09:15",
"content": "for each of the cosets we pick one element to represent it",
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"id": 1038892889377357800,
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"author_name": "Denascite",
"timestamp": "11/06/2022 14:09:26",
"content": "for the first we pick the element 0 and the first we pick the element 1",
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{
"id": 1038892934046699500,
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"author_name": "Denascite",
"timestamp": "11/06/2022 14:09:37",
"content": "those choices are arbitrary, we could also pick 4 and -17",
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{
"id": 1038893694205567000,
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:12:38",
"content": "Okay, now I'm getting a little confused, but let's go back to the original topic.\n\nSo, the elements of G / H would be partitions of G (the quaternion group)",
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"id": 1038893794415890400,
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"timestamp": "11/06/2022 14:13:02",
"content": "how do I know in what way to partition these elements?",
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"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:13:45",
"content": "H is {1,-1,j,-j}, so would that mean that each of the partitions would have 4 elements?",
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:15:19",
"content": "for Z / 2Z we partitioned using 0 + 2Z and 1 + 2Z, I'm guessing we would not use anything remotely similar to that for G / H in the cases of G and H we are using here, right?",
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 14:30:19",
"content": "@BlewiiQ Has your question been resolved?",
"attachments": [],
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:32:12",
"content": "well that depends on what you mean by \"similar\"",
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"id": 1038898687126020100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:32:28",
"content": "in the end it's the same construction",
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"id": 1038898766280917000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:32:47",
"content": "all cosets have the same size",
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"id": 1038898819624075300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:33:00",
"content": "they all have the form g*H for some element g in G",
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"author_name": "Denascite",
"timestamp": "11/06/2022 14:33:21",
"content": "you can check that 1\\*H = -1\\*H = j\\*H = -j\\*H = {1, -1, j, -j}",
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},
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"id": 1038899032069787800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:33:51",
"content": "what is i\\*H = i\\*{1, -1, j, -j}",
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"id": 1038900146848665600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:38:16",
"content": "iH = {i,-i,k,-k}?",
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"id": 1038900395600253000,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:39:16",
"content": "Hi = {i, -i,-k,k} (which is the same as iH even though two elements are in different locations, we do not care for their index within the list, only for their presence, right?",
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"id": 1038901075262066700,
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:41:58",
"content": "so does that mean that iH is an element of G / H or am I getting ahead of myself?",
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"id": 1038903196258685000,
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"author_name": "Denascite",
"timestamp": "11/06/2022 14:50:23",
"content": "sets don't care about order, yes",
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},
{
"id": 1038903234321973400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:50:32",
"content": "iH is an element of G/H",
"attachments": [],
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},
{
"id": 1038903265733120000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 14:50:40",
"content": "what is -iH, kH and -kH ?",
"attachments": [],
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},
{
"id": 1038904621109887100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:56:03",
"content": "-iH = {-i,i,-k,k}",
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},
{
"id": 1038904719311114200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:56:27",
"content": "kH = {k,-k,i,-i}",
"attachments": [],
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},
{
"id": 1038904862638866400,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:57:01",
"content": "-kH = kH just in a different order, which doesn't matter.",
"attachments": [],
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},
{
"id": 1038905025071693800,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:57:39",
"content": "Are we using i and k because H covers 1 and j?",
"attachments": [],
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},
{
"id": 1038905244584783900,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 14:58:32",
"content": "I see now that iH = -iH = kH = -kH...",
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"id": 1038906065720447000,
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:01:48",
"content": "so G/H contains {{i,-i,k,-k},{1,-1,j,-j}} I'm guessing that the second set is achieved by 1H, -1H, jH,-jH?",
"attachments": [],
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"id": 1038906290841325700,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:02:41",
"content": "and because it contains 2 elements, that means it has the same number of elements as Z / 2Z, right?",
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{
"id": 1038906674372686000,
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"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:04:13",
"content": "but I'm not sure how to prove that G/H is congruent to Z/2Z beyond that they contain an equal number of elements, which themselves have a vastly different number of elements contained?",
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{
"id": 1038911467908518000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:23:15",
"content": "so both G/H and Z/2Z are groups with 2 elements",
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{
"id": 1038911533553561600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:23:31",
"content": ":checkmark:",
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},
{
"id": 1038911540872626300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:23:33",
"content": "there is only a single group with 2 elements",
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"id": 1038911573772734600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:23:41",
"content": "up to isomorphism",
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"id": 1038911596711383200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:23:46",
"content": "huh?",
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{
"id": 1038911624687386600,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:23:53",
"content": "kinda :checkmark:",
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},
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"id": 1038911628239970400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:23:54",
"content": "it contains the identity and one other element",
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},
{
"id": 1038911672104014000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:24:04",
"content": "and that's what we have in both cases here",
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},
{
"id": 1038911750604603400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:24:23",
"content": "for Z/2Z, the identity is 0 and the other element is 1. and we have 1+1=0",
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},
{
"id": 1038911840354316400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:24:44",
"content": "and in G/H we have the identity H and the other element iH. and iH*iH=H",
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},
{
"id": 1038911889322819600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:24:56",
"content": "so really except for the name, it's the same thing",
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},
{
"id": 1038912332627181700,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:26:42",
"content": "🕯️",
"attachments": [],
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},
{
"id": 1038912880436838500,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:28:52",
"content": "so the relation can be described as the are equal up to an isomorphism.",
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{
"id": 1038914362469007400,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:34:46",
"content": "so for G / N where N is {1, -1}, G / N would be some form of (xN)(yN) = (xyN)?",
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{
"id": 1038915038221697000,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:37:27",
"content": "wait...",
"attachments": [],
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},
{
"id": 1038915466732785800,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:39:09",
"content": "G / N is a partition of G where there are g/n elements with n elements in them?",
"attachments": [],
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},
{
"id": 1038915607866912900,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:39:43",
"content": "G / N = {{1,-1},{j,-j},{k,-k},{i,-i}}?",
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},
{
"id": 1038915930157236200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:40:59",
"content": "8 elements in G, 2 elements in N, therefore, g/n = 8/2 = 4 elements in G/N each containing n = 2 elements?",
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},
{
"id": 1038917922254500000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:48:54",
"content": "yes",
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},
{
"id": 1038917986381217900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:49:10",
"content": "can you draw the multiplication table for those four elements?",
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},
{
"id": 1038918010087428100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:49:15",
"content": "holy cow it clicks! 💡",
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},
{
"id": 1038918091909910500,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:49:35",
"content": "multiplication table?",
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},
{
"id": 1038918216480731100,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:50:04",
"content": "oh, one sec,",
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{
"id": 1038919482539778000,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 15:55:06",
"content": "like so?",
"attachments": [
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"id": 1038920311690756200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 15:58:24",
"content": "yes like this. (dont wanna check every multiplication)",
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},
{
"id": 1038920954685960200,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 16:00:57",
"content": "how does that help me?",
"attachments": [],
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},
{
"id": 1038921037204688900,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 16:01:17",
"content": "not to be rude by any means there",
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},
{
"id": 1038921088429731800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 16:01:29",
"content": "just an exercise",
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},
{
"id": 1038921415627374700,
"author_id": 802898275245490200,
"author_name": "BlewiiQ",
"timestamp": "11/06/2022 16:02:47",
"content": "oh okay...care if I go over Question 2 on my excersize list to verify I'm understanding?",
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"id": 1038927117360058400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/06/2022 16:25:27",
"content": "just do it. if not me then someone else might help",
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},
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"id": 1038929634479308800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 16:35:27",
"content": "@BlewiiQ Has your question been resolved?",
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"timestamp": "11/06/2022 16:35:39",
"content": "Channel closed",
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}
] | help-9 | cfbb993d55104976aaa7c982c220ba34 |
201,423 | [
{
"id": 1038931537984499700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 16:43:01",
"content": "Available help channel!",
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},
{
"id": 1038932953004249200,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:48:38",
"content": "What number is the least precise: 0.0001 or 0.1076 ?",
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},
{
"id": 1038932956368080900,
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"timestamp": "11/06/2022 16:48:39",
"content": "Pinned a message.",
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{
"id": 1038933315606040700,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:50:04",
"content": "Calculated an RSD and trying to figure out significant figures. Did (0.0001/0.1076)*1000 to get 0.92936803",
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},
{
"id": 1038933418127392900,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:50:29",
"content": "Just not sure which number used in calculation was least precise 😭",
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},
{
"id": 1038934054772416600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:53:01",
"content": ":thinkies:",
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},
{
"id": 1038934201128464400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:53:36",
"content": "0.0001 would just be 1 significant figure, and 0.1076 4",
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},
{
"id": 1038934331307065300,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:54:07",
"content": "Yeah I mean I don’t know what the significant figures of my RSD would be",
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},
{
"id": 1038934420113064100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:54:28",
"content": "Uh",
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},
{
"id": 1038934445840924800,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:54:34",
"content": "And using mult/division rules it’s based on the least precise number used in the calculation",
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},
{
"id": 1038934542733562000,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:54:57",
"content": "So I’m trying to figure out if 0.0001 or 0.1076 is less precise",
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},
{
"id": 1038934790382043100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:55:56",
"content": "0.0001",
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},
{
"id": 1038934805393445000,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:56:00",
"content": "So does less significant figures = less precise?",
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},
{
"id": 1038934821675741300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:56:03",
"content": "Again it is only 1 significant figure",
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{
"id": 1038934855460851700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:56:12",
"content": "So it is the least precise yes",
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{
"id": 1038934881679454200,
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"author_name": "Kate",
"timestamp": "11/06/2022 16:56:18",
"content": "Okay thank you",
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},
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:56:23",
"content": "You would have uh",
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{
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 16:56:31",
"content": "0.0009",
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},
{
"id": 1038934995789692900,
"author_id": 319250001446305800,
"author_name": "Kate",
"timestamp": "11/06/2022 16:56:45",
"content": "And then use 1 sig fig rule",
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"timestamp": "11/06/2022 16:56:51",
"content": "After rounding n accounting to the significant figures",
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"timestamp": "11/06/2022 16:57:02",
"content": "Yeah I already made it 1 significant figure only",
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"timestamp": "11/06/2022 16:57:38",
"content": "Why wouldn’t it be 0.9",
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"timestamp": "11/06/2022 16:57:39",
"content": "The actual number is like",
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"timestamp": "11/06/2022 16:57:51",
"content": "0.000929368029739777",
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"timestamp": "11/06/2022 16:58:01",
"content": "Because that's not your result",
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"timestamp": "11/06/2022 16:58:16",
"content": "You got 0.0009 blah blah not 0.9 blah blah",
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"timestamp": "11/06/2022 16:58:33",
"content": "It is 0.9 blah blah lol",
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"timestamp": "11/06/2022 16:58:56",
"content": "I'm only doing the fraction here",
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"timestamp": "11/06/2022 16:59:30",
"content": "Oh okay I’m doing the whole (0.0001/1.076)*1000",
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"timestamp": "11/06/2022 16:59:46",
"content": "I just know obviously 1000 is not the least precise lol",
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"timestamp": "11/06/2022 17:00:13",
"content": "You usually want to calculate significant figures step by step",
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"timestamp": "11/06/2022 17:00:20",
"content": "Because like",
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"content": "If u round up at the end ur precision may be skewed",
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"timestamp": "11/06/2022 17:00:38",
"content": "Oh shoot",
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"timestamp": "11/06/2022 17:00:46",
"content": "So do operation and then account to significant figures and repeat",
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"timestamp": "11/06/2022 17:01:02",
"content": "Here it wouldn't matter",
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"timestamp": "11/06/2022 17:01:09",
"content": "Because both are 1 significant figues",
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"timestamp": "11/06/2022 17:01:14",
"content": "1000 and 0.0009",
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"timestamp": "11/06/2022 17:01:23",
"content": "So their precision is gonna be the same",
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"timestamp": "11/06/2022 17:01:39",
"content": "But if u had like 1001 instead and rounded at the end, then uh gonna be problematic",
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"timestamp": "11/06/2022 17:02:09",
"content": "Yea so after multiplying the 0.0009*1000 I’d still get 0.9",
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"timestamp": "11/06/2022 17:02:18",
"content": "Yes",
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"timestamp": "11/06/2022 17:02:31",
"content": "Alright I think I’m good now",
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"timestamp": "11/06/2022 17:02:36",
"content": "Yeppie",
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"timestamp": "11/06/2022 17:02:37",
"content": "Thank you!",
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"content": ".close",
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] | help-9 | 2bfeb475c30a43c4a90145c9ec28b496 |
201,424 | [
{
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"timestamp": "11/06/2022 17:03:03",
"content": "Ofc! Good luck with ur studies!",
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"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 17:16:01",
"content": "how do i determine the convergence or divergence of this function?",
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"author_name": "cah",
"timestamp": "11/06/2022 17:16:36",
"content": "i tried all the tests n theyre all indeterminate",
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"timestamp": "11/06/2022 17:17:52",
"content": "Hmmm",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:18:15",
"content": "Did the nth term test not land u any luck?",
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"id": 1038940485571592300,
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"timestamp": "11/06/2022 17:18:34",
"content": "what is that",
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"timestamp": "11/06/2022 17:18:41",
"content": "I guess it will be 0 seemingly",
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"timestamp": "11/06/2022 17:18:46",
"content": "i dont think we covered that in class yet",
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"timestamp": "11/06/2022 17:18:57",
"content": "yeah i keep gettin 0",
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"timestamp": "11/06/2022 17:19:19",
"content": "The nth term for divergence where u consider the limit of the sequence itself as it goes to infinity",
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"timestamp": "11/06/2022 17:22:05",
"content": "yeah we call the nth term test the test for divergence",
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"timestamp": "11/06/2022 17:22:11",
"content": "the limit approaches 0",
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"timestamp": "11/06/2022 17:23:44",
"content": "Yes",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:23:52",
"content": "Even the ratio test doesn't work here",
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"timestamp": "11/06/2022 17:23:58",
"content": "This needs some unconventional method",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:24:25",
"content": "I'm thinking of integral test... But integrating that is yikes",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:24:39",
"content": "But we aren't also sure if it is decreasing on all of its interval",
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"timestamp": "11/06/2022 17:24:49",
"content": "So we have to take the derivative and check possibly",
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"timestamp": "11/06/2022 17:26:07",
"content": "My instinct tells me it is always going to be decreasing, but yet again ln squared is weird as hell",
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"timestamp": "11/06/2022 17:26:23",
"content": "would be so much better if the square wasnt there",
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"timestamp": "11/06/2022 17:26:27",
"content": "ill ask my professor tomorrow",
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"author_id": 646060251594096600,
"author_name": "ta",
"timestamp": "11/06/2022 17:26:44",
"content": "allow me to suggest something my caveman brain came up with",
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"timestamp": "11/06/2022 17:26:48",
"content": "put this in desmos",
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"timestamp": "11/06/2022 17:27:01",
"content": "Ta you are",
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"timestamp": "11/06/2022 17:27:02",
"content": "A",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:27:07",
"content": "GENIUS!",
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"timestamp": "11/06/2022 17:27:21",
"content": "Desmos is the answer 🙏🏻",
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"timestamp": "11/06/2022 17:27:21",
"content": ":glassescat:",
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"timestamp": "11/06/2022 17:27:28",
"content": "Anyways @cah",
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"timestamp": "11/06/2022 17:27:38",
"content": "I see some ray of hope with integral test maybe",
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"timestamp": "11/06/2022 17:27:53",
"content": "But that is if you can possibly even integrate that",
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"timestamp": "11/06/2022 17:28:18",
"content": "see i tried integratin didnt work out",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:28:28",
"content": "What went wrong",
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"timestamp": "11/06/2022 17:29:17",
"content": "hmm lemme try it again",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:30:33",
"content": "Honestly can't see what you can do to find that integral",
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"timestamp": "11/06/2022 17:30:52",
"content": "Indeed. That ln squared is a big big problemo",
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"timestamp": "11/06/2022 17:31:08",
"content": "I have my calculus class tomorrow as well @cah I will ask my teacher too lmao",
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"timestamp": "11/06/2022 17:33:00",
"content": "omg ur sweet the more the merrier",
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"timestamp": "11/06/2022 17:33:25",
"content": "i think im going somewhere with this integral intest",
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"timestamp": "11/06/2022 17:33:37",
"content": "I'm kinda curious about it as well ngl",
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"timestamp": "11/06/2022 17:33:49",
"content": "I tried thinking of some comparison test... But dead end there",
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"timestamp": "11/06/2022 17:33:59",
"content": "Oooo how is it going",
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"timestamp": "11/06/2022 17:34:40",
"content": "Did u take the derivative and verify if it is decreasing though?",
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"timestamp": "11/06/2022 17:34:43",
"content": "im comparing it to 2x/(xlnx)^2",
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"timestamp": "11/06/2022 17:35:00",
"content": "so i used the integral test on that",
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"timestamp": "11/06/2022 17:35:20",
"content": "separated (xlnx)^2 to look like x^2 x (lnx)^2",
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"timestamp": "11/06/2022 17:36:06",
"content": "Eh even if u do find out if it might be convergent/divergent, doing the fraction afterwards is... Lmao",
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"timestamp": "11/06/2022 17:36:13",
"content": "It's a good step tho",
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"timestamp": "11/06/2022 17:36:19",
"content": "yes thats the step i need to do now",
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"timestamp": "11/06/2022 17:36:44",
"content": ":thinkies:",
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"timestamp": "11/06/2022 17:36:56",
"content": "What did that integral get u",
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"timestamp": "11/06/2022 17:37:24",
"content": "2/ln3 so that relevent function is convergent",
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"timestamp": "11/06/2022 17:37:56",
"content": "Oh interestingg you are on the right track",
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"timestamp": "11/06/2022 17:38:25",
"content": "gonna check a integral calcualtor",
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"timestamp": "11/06/2022 17:38:28",
"content": "I am still worried about the Monotonity of that function tho",
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"timestamp": "11/06/2022 17:38:29",
"content": "if i did it right",
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"timestamp": "11/06/2022 17:39:04",
"content": "yea i actually did",
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"timestamp": "11/06/2022 17:39:04",
"content": "It is probably not going to give u a result",
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"timestamp": "11/06/2022 17:39:13",
"content": "Oh niceuuu good job!!",
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"timestamp": "11/06/2022 17:39:22",
"content": "imma divide now",
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"timestamp": "11/06/2022 17:39:28",
"content": "Now comparing them uh",
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"timestamp": "11/06/2022 17:40:25",
"content": "Hm",
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"timestamp": "11/06/2022 17:40:52",
"content": "bruh im not liking this",
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"timestamp": "11/06/2022 17:41:02",
"content": "Yeah very not fun times",
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"timestamp": "11/06/2022 17:41:59",
"content": "I suppose by that point it could possibly be rho = 0",
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"timestamp": "11/06/2022 17:42:07",
"content": "Just intuition though",
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"timestamp": "11/06/2022 17:45:12",
"content": "well my answer is infinite when i compared them um",
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"timestamp": "11/06/2022 17:45:39",
"content": "Yeah that doesn't do you much tho",
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"timestamp": "11/06/2022 17:45:44",
"content": "exactly",
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"timestamp": "11/06/2022 17:46:03",
"content": "Because that would only tell u something if b_n is also diverging",
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"timestamp": "11/06/2022 17:46:05",
"content": "But rip",
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"timestamp": "11/06/2022 17:46:15",
"content": "yeah ill wait till tomororw",
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"timestamp": "11/06/2022 17:46:20",
"content": "I'm looking at the derivative at this too btw",
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"timestamp": "11/06/2022 17:46:36",
"content": "Doesn't seem to be decreasing completely I think",
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"timestamp": "11/06/2022 17:46:52",
"content": "So the integral test kind of falls apart too",
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"timestamp": "11/06/2022 17:47:01",
"content": "Unless u reindex it",
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"timestamp": "11/06/2022 17:48:05",
"content": "Yea same, i will shoot u a DM after my class too about it",
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"timestamp": "11/06/2022 17:49:41",
"content": "what desmos giving me",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:50:08",
"content": "Maybe write it as a limit?",
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"timestamp": "11/06/2022 17:50:40",
"content": "so i put in big ass numbers for the upper limit n theyre close to 3",
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"timestamp": "11/06/2022 17:50:50",
"content": "🤷♀️",
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"id": 1038948675583488000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:51:06",
"content": "The series is converging to 3",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:51:09",
"content": "Wild lmao",
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"author_name": "cah",
"timestamp": "11/06/2022 17:51:27",
"content": "desmos better not fail me",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:51:36",
"content": "Yeah I'm hoping I won't land on this for my midterm that's for sure",
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"timestamp": "11/06/2022 17:51:41",
"content": "for sure",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:51:45",
"content": "Good chance it might 💀",
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"timestamp": "11/06/2022 17:51:52",
"content": "yeah",
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"timestamp": "11/06/2022 17:51:58",
"content": "dats why ill wait till tomorrow",
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"author_name": "cah",
"timestamp": "11/06/2022 17:52:07",
"content": "ive spent too much time on this problem",
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"id": 1038949000235188400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:52:24",
"content": "Where is this from actually",
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"id": 1038949071358001200,
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:52:41",
"content": "If this is some assignment then ur professor is one sadistic mf",
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"id": 1038949103142445200,
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"author_name": "cah",
"timestamp": "11/06/2022 17:52:48",
"content": "assignment",
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"id": 1038949129642061800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:52:55",
"content": "I pray for u",
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"id": 1038949370076352500,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 17:53:52",
"content": "hate this so much",
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"id": 1038949443644436500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:54:10",
"content": "Lmao it gets kinda better when u get to the uh",
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"id": 1038949466629226600,
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:54:15",
"content": "parametric curves part",
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"id": 1038949596140941400,
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"author_name": "cah",
"timestamp": "11/06/2022 17:54:46",
"content": "what da hell",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:55:05",
"content": "😵💫",
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"id": 1038949714047025300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:55:14",
"content": "How deep does ur calc course go",
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"timestamp": "11/06/2022 17:56:14",
"content": "not sure",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:56:39",
"content": "Wait don't tell me u r actually in high school and this is what they are teaching you",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:56:44",
"content": "I would be seriously shocked",
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"timestamp": "11/06/2022 17:56:46",
"content": "no im a college student",
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"timestamp": "11/06/2022 17:56:51",
"content": "Okay phew",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:56:58",
"content": "I feel a bit better now",
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"author_name": "cah",
"timestamp": "11/06/2022 17:57:21",
"content": "i would shrivel up if i had to do this in highschool",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:57:57",
"content": "Yeah ngl you probably would get some random guy here going like \"oh yeah we actually did this in year 9 lmao this is so easy\"",
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"id": 1038950548470239200,
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"timestamp": "11/06/2022 17:58:33",
"content": "https://tenor.com/view/my-honest-reaction-my-honest-reaction-meme-my-sincerest-reaction-my-reaction-to-that-information-my-reaction-to-that-information-meme-gif-25853013",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:58:52",
"content": "Lmfaooo",
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"id": 1038950732717625500,
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 17:59:17",
"content": "Also lowkey taking advanced calculus with other maths courses is NOT fun times",
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"timestamp": "11/06/2022 17:59:29",
"content": "this my last math course tho slayy",
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"timestamp": "11/06/2022 17:59:50",
"content": "I'm not sure if ur doing it too but like I'm taking discrete maths and linear algebra and it's like a triple combo wombo",
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"timestamp": "11/06/2022 18:00:08",
"content": "Oh damnn congrats, what's ur major actually?",
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"timestamp": "11/06/2022 18:00:12",
"content": "econ",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:00:30",
"content": "Oh fair",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:00:47",
"content": "Ig calculus is necessary for economics",
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"timestamp": "11/06/2022 18:00:52",
"content": "yea",
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"timestamp": "11/06/2022 18:02:15",
"content": "honestly if i bomb this midterm itll be fine cuz i did really good on the other calc ones",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:02:48",
"content": "Oh damn really ?",
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"timestamp": "11/06/2022 18:02:53",
"content": "yeah",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:03:10",
"content": "Lowkey calculus 1 was kinda easy IMO (took me like 2 tries but yes)",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:03:25",
"content": "My uni be like",
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"timestamp": "11/06/2022 18:03:42",
"content": "No fuck you, you will only have one midterm with 40% of ur grade",
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"timestamp": "11/06/2022 18:04:01",
"content": "1st midterm was basicaly review from calc1 n then 2nd midterm was another half of review and xyz integrals",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:04:26",
"content": "Oh u r taking multi variable too?",
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"timestamp": "11/06/2022 18:04:53",
"content": "is was a basic unit for integrals yea",
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"timestamp": "11/06/2022 18:05:35",
"content": "Oh huh ur uni is basically jumping between calculus 2 n 3",
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"timestamp": "11/06/2022 18:05:41",
"content": "Never seen that before interesting",
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"timestamp": "11/06/2022 18:05:52",
"content": "perhaps. i wouldnt kno lol",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:06:40",
"content": "Lmao u give me the vibes of a person who doesn't really care that much about the shit they are studying, But still ace it anyways",
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"author_name": "cah",
"timestamp": "11/06/2022 18:08:14",
"content": "u right tho u kno wat i would rather be studying. art. but u kno parents",
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"author_name": "cah",
"timestamp": "11/06/2022 18:08:44",
"content": "so i chose smth similar to the easiest subject for me which is math",
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"id": 1038953114063089800,
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:08:45",
"content": "Yeaaa sucks with majors that u have to do stuff u really don't like becuz of like",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:09:00",
"content": "Outside world Ig lmao",
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"author_name": "cah",
"timestamp": "11/06/2022 18:09:10",
"content": "ughh",
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{
"id": 1038953360956604400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:09:44",
"content": "Im doing electrical engineering which is like the feeling of someone stepping in shit and then purposefully stepping on you afterwards",
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{
"id": 1038953498013872300,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 18:10:16",
"content": "ive heard",
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"id": 1038953535536111700,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 18:10:25",
"content": "engineering is very hard",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:10:45",
"content": "I think art in school might be kinda worse tho, becuz I feel like things are way more subjective to someone's appeals",
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"author_name": "cah",
"timestamp": "11/06/2022 18:11:04",
"content": "true",
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"id": 1038953728738340900,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 18:11:11",
"content": "ive settled with keeping art as a hobby",
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"author_name": "cah",
"timestamp": "11/06/2022 18:11:21",
"content": "but i did go to art highschool so i was used to it",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:11:42",
"content": "Yeah it lowkey is draining every last bit of good energy in my body but you know what, I get to make circuits which is like",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:11:45",
"content": "Yay?",
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"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:12:56",
"content": "Oh tbh drawing and just commissioning stuff seems to be really nice too, but yet again that's making it be like a job which is ehh",
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"author_name": "cah",
"timestamp": "11/06/2022 18:12:59",
"content": "as long as you have an end sight in mind",
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"timestamp": "11/06/2022 18:13:10",
"content": "i think thats good",
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"id": 1038954344000803000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:13:38",
"content": "Well do u have any particular end sight in your mind?",
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"id": 1038954364330594400,
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"author_name": "cah",
"timestamp": "11/06/2022 18:13:43",
"content": "i have a decent following on my art acc n do commissions actually",
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"id": 1038954540277444600,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 18:14:25",
"content": "i would love a job with flexible hrs",
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{
"id": 1038954674352562300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:14:57",
"content": "Oh niceee, that seems pretty good. I would want to see the profile but I also understand if u like to keep it separate from ur discord too",
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{
"id": 1038954853587751000,
"author_id": 451844891882946560,
"author_name": "cah",
"timestamp": "11/06/2022 18:15:39",
"content": "i basically broadcast it on my discord profile so its basically public property go ahead",
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"id": 1038954935993249900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:15:59",
"content": "It's always nice to not be employed under someone I guess yeah",
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"author_name": "cah",
"timestamp": "11/06/2022 18:16:22",
"content": "yayyy job stability",
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"id": 1038955100481273900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:16:38",
"content": "Oh where? U can DM me it bcuz I'm not sure if sending this stuff here would be allowed",
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"timestamp": "11/06/2022 18:16:47",
"content": "yeah ill dm",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/06/2022 18:17:07",
"content": "Okie dokii",
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 18:31:48",
"content": "@cah Has your question been resolved?",
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"timestamp": "11/06/2022 18:46:48",
"content": "Channel closed",
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] | help-9 | 70727a880239400691dde0cc4e68841e |
201,425 | [
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"content": "Available help channel!",
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"id": 1038964237885771900,
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"content": "Pinned a message.",
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"timestamp": "11/06/2022 18:53:05",
"content": "related rates problem",
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"timestamp": "11/06/2022 18:53:13",
"content": "I have x' = 2",
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"id": 1038964325819363300,
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"content": "x=130",
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"id": 1038964369670803600,
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"author_name": "symbolic",
"timestamp": "11/06/2022 18:53:28",
"content": "y=tanx/75",
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"id": 1038964430727286800,
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"timestamp": "11/06/2022 18:53:43",
"content": "and solving for y' im guessing",
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"author_name": "symbolic",
"timestamp": "11/06/2022 18:54:15",
"content": "I know Im totally wrong somewhere",
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"id": 1038964601565495300,
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"timestamp": "11/06/2022 18:54:24",
"content": "I dont think I fully understand the question",
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"id": 1038964654497599500,
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"timestamp": "11/06/2022 18:54:36",
"content": "or the concept, but help would be appreciated",
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"timestamp": "11/06/2022 19:09:36",
"content": "@symbolic Has your question been resolved?",
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] | help-9 | 5ded57f323e14783bff712fbbb7cfd3c |
201,426 | [
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"timestamp": "11/06/2022 19:25:37",
"content": "Available help channel!",
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"id": 1038974227203752000,
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"timestamp": "11/06/2022 19:32:38",
"content": "Can someone help me with part B?",
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"timestamp": "11/06/2022 19:32:39",
"content": "Pinned a message.",
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"id": 1038974588593381500,
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"timestamp": "11/06/2022 19:34:05",
"content": "I know that angle 2 is x",
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"id": 1038974915161899000,
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"timestamp": "11/06/2022 19:35:22",
"content": "On the solutions sheet it says that <3= 2x but I'm not sure why",
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"id": 1038976483173081100,
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"timestamp": "11/06/2022 19:41:36",
"content": "Do you know why?",
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"timestamp": "11/06/2022 19:56:37",
"content": "@hi123 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | bf4fdef242784cd49efe71f80201f849 |
201,427 | [
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"id": 1038985053914533900,
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"author_name": "Bilal",
"timestamp": "11/06/2022 20:15:40",
"content": "Hello, I'm facing a physics-based question.\n\nThe pdf is the original prompt from my teacher, and the two questions are my attempts with questions 7-10",
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"timestamp": "11/06/2022 20:15:40",
"content": "Pinned a message.",
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"id": 1038985391090438300,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/06/2022 20:17:00",
"content": "Upon completing question 10, I realized I could rework questions 8-10 entirely by converting k into it's other form, mg/x. By doing this, I got my answer in the reworked image",
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"timestamp": "11/06/2022 20:17:04",
"content": "x=2h",
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"id": 1038985582480736300,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/06/2022 20:17:46",
"content": "however, upon putting this into the given website, this equation was wrong",
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},
{
"id": 1038985873699655700,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/06/2022 20:18:55",
"content": "the change in x didn't add up correctly, making me rethink all my work thus far. I could post the other answers me and my lab partner have gotten thus far for 1-6, but they don't seem to pertain to 7-10",
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"id": 1038985920252215300,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/06/2022 20:19:06",
"content": "Any help figuring out why this isn't working out would be greatly appreciated",
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},
{
"id": 1038986139996016600,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/06/2022 20:19:59",
"content": "I tested both the original equation I made, and the x=2h one. Both however didn't come up with the right answer for change in x I found by measuring",
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"author_name": "Mathematics Bot",
"timestamp": "11/06/2022 20:34:59",
"content": "@Bilal Has your question been resolved?",
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"author_name": "Bilal",
"timestamp": "11/06/2022 20:41:10",
"content": "@Helpers",
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"timestamp": "11/06/2022 21:11:10",
"content": "@Bilal Has your question been resolved?",
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"timestamp": "11/06/2022 22:11:14",
"content": "@Bilal Has your question been resolved?",
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"timestamp": "11/07/2022 00:11:24",
"content": "@Bilal Has your question been resolved?",
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"timestamp": "11/07/2022 04:12:04",
"content": "@Bilal Has your question been resolved?",
"attachments": [],
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"timestamp": "11/07/2022 08:12:05",
"content": "Channel closed",
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}
] | help-9 | ab9f8107cac140478a4cbda757b349da |
201,428 | [
{
"id": 1039169754553921700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 08:29:36",
"content": "Available help channel!",
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},
{
"id": 1039170259409698800,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:31:36",
"content": "how do you convert fractions to decimals",
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},
{
"id": 1039170261204877400,
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"timestamp": "11/07/2022 08:31:37",
"content": "Pinned a message.",
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"id": 1039170322496233500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:31:51",
"content": "division.",
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},
{
"id": 1039170409628696700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:32:12",
"content": "I mean it also depends what kind of fraction",
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},
{
"id": 1039170475806445600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:32:28",
"content": "1/2, 1/3, 1/4, 1/5 are common decimals",
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"id": 1039170564448866300,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:32:49",
"content": "i need help on percente to fraction",
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},
{
"id": 1039170639157792800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:33:07",
"content": "do you have a specific question?",
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},
{
"id": 1039170860382163000,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:33:59",
"content": "remember that x% = x/100",
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"id": 1039170864173826200,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:34:00",
"content": "for example if i had 35% how would i change it to fraction",
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"id": 1039170927272923100,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:34:15",
"content": "so 35% = 35/100",
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"id": 1039170949787963400,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:34:21",
"content": "and then you can simplify that",
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"id": 1039171189383372800,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:35:18",
"content": "thank you",
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},
{
"id": 1039171302335987700,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:35:45",
"content": "how do i leave the help",
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},
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"id": 1039171344857833500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/07/2022 08:35:55",
"content": "it’s .close",
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},
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"id": 1039171361253359600,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:35:59",
"content": "ok",
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},
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"id": 1039172384470601700,
"author_id": 784516156513189900,
"author_name": "Mc Memer",
"timestamp": "11/07/2022 08:40:03",
"content": ".close",
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},
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"id": 1039172387100434400,
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"timestamp": "11/07/2022 08:40:03",
"content": "Channel closed",
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}
] | help-9 | 29682c89795542a0bdb4db90ea17a16a |
201,429 | [
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"timestamp": "10/22/2022 07:46:05",
"content": "Available help channel!",
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},
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"id": 1033351897412812800,
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"author_name": "fantastic mr. fox",
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"content": "Pinned a message.",
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"id": 1033352305371775000,
"author_id": 539446556538044400,
"author_name": "habukichan",
"timestamp": "10/22/2022 08:13:08",
"content": "??",
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},
{
"id": 1033353117892346000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "10/22/2022 08:16:22",
"content": "What have u done",
"attachments": [],
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"timestamp": "10/22/2022 08:26:31",
"content": "@fantastic mr. fox Has your question been resolved?",
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"timestamp": "10/22/2022 08:41:32",
"content": "Channel closed",
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}
] | help-9 | eaef9ee44c454189b61234fb788ed3d2 |
201,430 | [
{
"id": 1039172796481286100,
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"timestamp": "11/07/2022 08:41:41",
"content": "Available help channel!",
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},
{
"id": 1039173977320464400,
"author_id": 394674296716394500,
"author_name": "Zyther",
"timestamp": "11/07/2022 08:46:23",
"content": "I need some helping understanding and answering this question please,\n\"A packet of tea is underweight if it weighs 98 grammes or less, what percentage of the packets were underweight?\"",
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},
{
"id": 1039173979883184100,
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"timestamp": "11/07/2022 08:46:23",
"content": "Pinned a message.",
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"id": 1039174746450968600,
"author_id": 394674296716394500,
"author_name": "Zyther",
"timestamp": "11/07/2022 08:49:26",
"content": "There's nothing else to the question, that's it and I don't understand what I'm supposed to do",
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},
{
"id": 1039174928617979900,
"author_id": 394674296716394500,
"author_name": "Zyther",
"timestamp": "11/07/2022 08:50:09",
"content": "Ohh I'm just now realising this question is in relation to question 2",
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"id": 1039175775636705400,
"author_id": 394674296716394500,
"author_name": "Zyther",
"timestamp": "11/07/2022 08:53:31",
"content": ".close",
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},
{
"id": 1039175778404933600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 08:53:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 14eaa271a56f46e981316a042bce8242 |
201,431 | [
{
"id": 1039176508524216300,
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"timestamp": "11/07/2022 08:56:26",
"content": "Available help channel!",
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},
{
"id": 1039177049581039700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 08:58:35",
"content": "Pinned a message.",
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"timestamp": "11/07/2022 09:24:25",
"content": "@Kepe Has your question been resolved?",
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"timestamp": "11/07/2022 10:02:06",
"content": "@Kepe Has your question been resolved?",
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{
"id": 1039199855018512400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "11/07/2022 10:29:12",
"content": "by definition, yeh",
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},
{
"id": 1039200102625067000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "11/07/2022 10:30:11",
"content": "differentiable curves u can always draw many osculating circle from my understanding",
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},
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"id": 1039200587251716200,
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"timestamp": "11/07/2022 10:32:07",
"content": "Channel closed",
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}
] | help-9 | a5644a4e82714e448e0aeccb81c9d8ba |
201,432 | [
{
"id": 1039200840432484500,
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 10:33:07",
"content": "Available help channel!",
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},
{
"id": 1039200951115980900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 10:33:34",
"content": "Pinned a message.",
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{
"id": 1039201144091709400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:34:20",
"content": "How many mm per cm",
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},
{
"id": 1039201211192201200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:34:36",
"content": "Write that as an equation",
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},
{
"id": 1039201250530574300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:34:45",
"content": "10 mm = 1 cm",
"attachments": [],
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},
{
"id": 1039201365865533400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:35:13",
"content": "Now just cube both sides",
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},
{
"id": 1039201604571775100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:36:09",
"content": "Do this",
"attachments": [],
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},
{
"id": 1039201711270678500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:36:35",
"content": "Raise both sides of this equation to the third power",
"attachments": [],
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},
{
"id": 1039201810432405500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:36:59",
"content": "!",
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"reference": null
},
{
"id": 1039201975901884400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:37:38",
"content": "Lol",
"attachments": [],
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},
{
"id": 1039202084660183200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:38:04",
"content": "I cant just give you the answer",
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},
{
"id": 1039202116037783600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/07/2022 10:38:11",
"content": "You wouldn't learn anything",
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{
"id": 1039208178770006100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 11:02:17",
"content": "@bighead Has your question been resolved?",
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"timestamp": "11/07/2022 11:17:17",
"content": "Channel closed",
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}
] | help-9 | 87ef2fcfdfbd4da2987ebb636dba3f82 |
201,433 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 11:25:47",
"content": "Available help channel!",
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"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:32:21",
"content": "So there is this birdwatcher who is watching birds from a 12 meter tower. There is also a bird 10 kilometers away. The question is, can the watcher see this bird? The radius of the earth is 6370km. The birdwatcher has a spyglass.",
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"timestamp": "11/07/2022 11:32:22",
"content": "Pinned a message.",
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"author_name": "Toby",
"timestamp": "11/07/2022 11:38:24",
"content": "draw a diagram",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:39:47",
"content": "I probably cannot",
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"author_name": "Toby",
"timestamp": "11/07/2022 11:40:02",
"content": "also there's a bunch of things that you need to make assumptions about:\n- height of the birdwatcher\n- the position of the bird above the ground\n- any trees in line of sight\n - the position of the bird wrt birdwatcher (if the bird is behind, then the birdwatcher never sees it)",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:41:58",
"content": "-birdwatcher is the 12 meters\n-The bird is standing on an island, between them is sea\n-the watcher is looking in the birds direction",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:42:51",
"content": "I am supposed to use tangents, circles and that stuff here I think, it is the current area in my course",
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"id": 1039218449613861000,
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"author_name": "Toby",
"timestamp": "11/07/2022 11:43:06",
"content": "I'm pretty sure there arent any people that are 12 metres tall, but lets roll with it",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:43:18",
"content": "He is in the tower",
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"author_name": "Toby",
"timestamp": "11/07/2022 11:43:26",
"content": "try drawing the earth as a circle, then putting two points for the bird and the person then labelling distances you know",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:45:33",
"content": "I tried doing that, but it just goes under the horizon, I also happen to know the answer that the watcher can see the bird, I just have to show work for it which I do not know how to do",
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"id": 1039219240818974700,
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"author_name": "Toby",
"timestamp": "11/07/2022 11:46:14",
"content": "send what you've tried",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:47:10",
"content": "10 km on earth",
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"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:47:48",
"content": "the bird goes just under the horizon",
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"id": 1039220531355975800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "11/07/2022 11:51:22",
"content": "try doing a sketch by hand without using geogebra",
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"id": 1039220638629503000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "11/07/2022 11:51:48",
"content": "from what you've said, the bird is on the surface of the earth at 10km from the birdwatcher",
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"id": 1039220721659941000,
"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:52:07",
"content": "yes",
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"id": 1039221219653849200,
"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:54:06",
"content": "Bruh",
"attachments": [],
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},
{
"id": 1039221261483642900,
"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:54:16",
"content": "I just realized what i did wrong",
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{
"id": 1039221311626543200,
"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:54:28",
"content": "not even a math issue just an error",
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{
"id": 1039221385446297700,
"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:54:46",
"content": "I think I can solve this by myself now",
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"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:55:03",
"content": "So bye and thank you",
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"author_id": 674885217911046100,
"author_name": "Perunajunior",
"timestamp": "11/07/2022 11:55:11",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 11:55:12",
"content": "Channel closed",
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] | help-9 | d783ad0248074c5f88df9c573d9bdfe8 |
201,434 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 11:56:12",
"content": "Available help channel!",
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},
{
"id": 1039222995933208600,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:01:10",
"content": "if a(n) and b(n) are sequences then the limit of |a(n) - b(n) | = 1 when n goes to infinity if an converges does b(n) converge too",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 12:01:10",
"content": "Pinned a message.",
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"id": 1039223148974981100,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:01:46",
"content": "well i know this is not true",
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},
{
"id": 1039223177852764200,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:01:53",
"content": "but i don't know why",
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},
{
"id": 1039223698894356500,
"author_id": 1022574341680021500,
"author_name": "Larry the Cucumber",
"timestamp": "11/07/2022 12:03:57",
"content": "if you know it’s false, try to think of a counterexample to prove it",
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},
{
"id": 1039223837126054000,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:04:30",
"content": "thats what im trying to do",
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},
{
"id": 1039223861817921700,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:04:36",
"content": "but its no good",
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},
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"id": 1039223885159211100,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:04:42",
"content": "i cant find anything",
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},
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"id": 1039224104718434300,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:05:34",
"content": "every example i think of b(n) has to converge",
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},
{
"id": 1039227133429547000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:17:36",
"content": "did you try proving it with the definition",
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{
"id": 1039227135606390800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:17:37",
"content": "$|a_n - b_n| < 1 + \\eps \\Ra -1-\\eps < a_n - b_n < 1 + \\eps$",
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},
{
"id": 1039227381195489400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:18:35",
"content": "Will have to be a little more careful with eps-N style proof, but that's the idea",
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},
{
"id": 1039227403362390100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "11/07/2022 12:18:40",
"content": "CLOSE",
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},
{
"id": 1039227557624696800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "11/07/2022 12:19:17",
"content": "(jking carry on with the wonderful maths)",
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},
{
"id": 1039227737942007800,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:20:00",
"content": "well how do i start",
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{
"id": 1039227765838323800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:20:07",
"content": ".",
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"id": 1039227863171354600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:20:30",
"content": "have you done epsilon-N proofs before?",
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"id": 1039227878669299700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:20:34",
"content": "Looks like this: https://math.stackexchange.com/questions/677817/how-to-properly-construct-an-epsilon-n-proof",
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"id": 1039227941311226000,
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"author_name": "Monder",
"timestamp": "11/07/2022 12:20:49",
"content": "that is not the definition of a limit is it ?",
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"id": 1039227974857273500,
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"timestamp": "11/07/2022 12:20:57",
"content": "yes",
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"timestamp": "11/07/2022 12:20:57",
"content": "depends on the class",
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"id": 1039228008185200600,
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"timestamp": "11/07/2022 12:21:05",
"content": "then yes that's the definition",
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"timestamp": "11/07/2022 12:21:10",
"content": "this one",
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"timestamp": "11/07/2022 12:21:19",
"content": "this is just my hint for you to start",
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"timestamp": "11/07/2022 12:21:36",
"content": "1=-1 :sadcat:",
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"id": 1039228171641425900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:21:44",
"content": "pain",
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},
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"id": 1039228269729415300,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:22:07",
"content": "well do i assume that b(n) converge or diverge ?",
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"author_id": 510789298321096700,
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"timestamp": "11/07/2022 12:22:15",
"content": "**riemann**",
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"id": 1039228399060791300,
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"author_name": "riemann",
"timestamp": "11/07/2022 12:22:38",
"content": "if you were to prove b_n converges, this is how you would start",
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"id": 1039228505055043600,
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"timestamp": "11/07/2022 12:23:03",
"content": "either could work actually. but since you can't come up with a counterexample, try proving it true",
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"id": 1039228745376088000,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:24:00",
"content": "the problem is i can find many examples when this is true",
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"id": 1039228786371219500,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:24:10",
"content": "when b(n) and a(n) converges",
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"timestamp": "11/07/2022 12:24:24",
"content": "yes. this is why my hint is for you to prove it true",
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"id": 1039228884178174000,
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"author_name": "Monder",
"timestamp": "11/07/2022 12:24:33",
"content": "and it satisfies the |an - bn| =1",
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"timestamp": "11/07/2022 12:25:08",
"content": "just apply the definition from here and try to prove b_n converges then",
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"timestamp": "11/07/2022 12:32:29",
"content": "",
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"id": 1039230975101648900,
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"timestamp": "11/07/2022 12:32:52",
"content": "i used the triangle inquality",
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"id": 1039230984807268400,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:32:54",
"content": "and got this",
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"id": 1039230999810297900,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:32:58",
"content": "is it true ?",
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"id": 1039231151660875900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:33:34",
"content": "yes that's a correct application of triangle inequality",
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"id": 1039231184137375900,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:33:42",
"content": "now im stuck",
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"id": 1039231226088788100,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:33:52",
"content": "this +1 is destroying me",
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},
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"id": 1039231915158405100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:36:36",
"content": "then that either means you're not bounding tight enough or there is a counterexample where you have to use that +1",
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"timestamp": "11/07/2022 12:39:12",
"content": "since it sounds like you're just starting, there's probably a counterexample",
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"id": 1039232620384506000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:39:24",
"content": "try thinking of a_n that converge to zero and b_n that oscillates and doesn't converge",
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"id": 1039232696473354200,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:39:42",
"content": "what does oscillates mean",
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},
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"id": 1039232712013250600,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:39:46",
"content": "oh",
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"id": 1039232741599871000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:39:53",
"content": "https://en.wikipedia.org/wiki/Oscillation_(mathematics)",
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"id": 1039233035196960800,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:41:03",
"content": "well it has something to do with (-1)^n",
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"id": 1039233115056505000,
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"timestamp": "11/07/2022 12:41:22",
"content": "thats my first thought was but im not sure",
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"id": 1039233823487049900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:44:11",
"content": "yea that sounds like a good one to start with",
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"id": 1039234719860146300,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:47:45",
"content": "i cant think of anything :sadcat:",
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"id": 1039235846567633000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:52:13",
"content": "what a_n did you try",
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"id": 1039235884714836100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:52:22",
"content": "with this b_n",
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"id": 1039236057616621600,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:53:04",
"content": "wait",
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},
{
"id": 1039236075471765500,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:53:08",
"content": "waitttttttttt",
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},
{
"id": 1039236388379435000,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:54:23",
"content": "so its just |1/n - (-1)^n|",
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},
{
"id": 1039236447238115300,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:54:37",
"content": "and this converge to 1 always",
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},
{
"id": 1039236501122338800,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:54:49",
"content": "well when n goes to infinity",
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{
"id": 1039236591069179900,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:55:11",
"content": "and 1/n converges and (-1)^n does not",
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},
{
"id": 1039236612766314500,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:55:16",
"content": "thats cool 🙂",
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},
{
"id": 1039236800385921000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/07/2022 12:56:01",
"content": "great",
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},
{
"id": 1039236877795999700,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:56:19",
"content": "well thanks riemann",
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{
"id": 1039237064887107700,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:57:04",
"content": "how to stop this channel ?",
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},
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"id": 1039237105009819800,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:57:13",
"content": ".stop",
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},
{
"id": 1039237284232433800,
"author_id": 223852276010188800,
"author_name": "Monder",
"timestamp": "11/07/2022 12:57:56",
"content": ".close",
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"reference": null
},
{
"id": 1039237287088754800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 12:57:57",
"content": "Channel closed",
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"reference": null
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] | help-9 | 138134c93a7a49c6a906fdbdd3b3fcc4 |
201,435 | [
{
"id": 1039237539141259300,
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"timestamp": "11/07/2022 12:58:57",
"content": "Available help channel!",
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},
{
"id": 1039238527445119100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:02:53",
"content": "Pinned a message.",
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"id": 1039238832320684000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "11/07/2022 13:04:05",
"content": "What are you confused about?",
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},
{
"id": 1039240009133342800,
"author_id": 698083918351695900,
"author_name": "(wh)y",
"timestamp": "11/07/2022 13:08:46",
"content": "just wondering if my graph conveys those things",
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{
"id": 1039240773515874300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "11/07/2022 13:11:48",
"content": "Yes",
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},
{
"id": 1039241013715288200,
"author_id": 698083918351695900,
"author_name": "(wh)y",
"timestamp": "11/07/2022 13:12:45",
"content": "okay",
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},
{
"id": 1039241021999030400,
"author_id": 698083918351695900,
"author_name": "(wh)y",
"timestamp": "11/07/2022 13:12:47",
"content": "thank you",
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},
{
"id": 1039241027808137200,
"author_id": 698083918351695900,
"author_name": "(wh)y",
"timestamp": "11/07/2022 13:12:49",
"content": ".close",
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{
"id": 1039241031239073800,
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"timestamp": "11/07/2022 13:12:50",
"content": "Channel closed",
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] | help-9 | 9ec6c6bdb9b744dc9c7ebe40395c697a |
201,436 | [
{
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"timestamp": "11/07/2022 13:13:50",
"content": "Available help channel!",
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},
{
"id": 1039242651192524900,
"author_id": 710427501096206500,
"author_name": "rocchi",
"timestamp": "11/07/2022 13:19:16",
"content": "hello, just wanna know why log 10 was simplified into ln, (iinm, log without a base is by default base 10, while ln is a logarithm of base e, so why?)",
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"content": "Pinned a message.",
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"id": 1039243163203797000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/07/2022 13:21:18",
"content": "It wasn't simplified to. Log denotes ln in pure math, because there's no reason to use a different logarithm (it's log10 in physics/chemistry and log2 in CS, but ln in math)",
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{
"id": 1039243320121102500,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/07/2022 13:21:55",
"content": "Sometimes log denotes ln",
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"id": 1039243328169988100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/07/2022 13:21:57",
"content": "Because the limit differs by a multiplicative constant depending on whether you use ln or log10, so it can't just have been simplified from one to another, they're not equivalent",
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"id": 1039243502992764900,
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"timestamp": "11/07/2022 13:22:39",
"content": "oohhh shoot, that's so cool, thanks a bunch!",
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"timestamp": "11/07/2022 13:22:40",
"content": ".close",
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},
{
"id": 1039243512677404800,
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:22:41",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | cd6bfe2e798e431c8d1af7823948b60c |
201,437 | [
{
"id": 1039245183939780700,
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:29:20",
"content": "Available help channel!",
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},
{
"id": 1039245661939450000,
"author_id": 886308898305376300,
"author_name": "Nefth",
"timestamp": "11/07/2022 13:31:14",
"content": "what do I do here for C)?",
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"timestamp": "11/07/2022 13:31:14",
"content": "Pinned a message.",
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"author_id": 886308898305376300,
"author_name": "Nefth",
"timestamp": "11/07/2022 13:31:33",
"content": "I feel like, dividing 3500/5 would be too simple?",
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"id": 1039246537311654000,
"author_id": 886308898305376300,
"author_name": "Nefth",
"timestamp": "11/07/2022 13:34:42",
"content": ".close",
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"id": 1039246565505769600,
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"timestamp": "11/07/2022 13:34:49",
"content": ".close",
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{
"id": 1039246568240463900,
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"timestamp": "11/07/2022 13:34:50",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 51e6025548e54cd4b33de0ebd434f623 |
201,438 | [
{
"id": 1039248190702096400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:41:16",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1039248749458899100,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:43:30",
"content": "What's the domain of this?",
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"id": 1039248752139042800,
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"timestamp": "11/07/2022 13:43:30",
"content": "Pinned a message.",
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{
"id": 1039248946075291800,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:44:17",
"content": "What's the domain of arccos(x)",
"attachments": [],
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"reference": null
},
{
"id": 1039249016262770700,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:44:33",
"content": "-1<x<1",
"attachments": [],
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"reference": null
},
{
"id": 1039249211155292300,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:45:20",
"content": "So you have the region -1<=(x+y)/2<=1",
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},
{
"id": 1039249590823698400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:46:50",
"content": "But you so have to get rid of the part where we have negative values",
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},
{
"id": 1039249604870410200,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:46:54",
"content": "Hm",
"attachments": [],
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},
{
"id": 1039249606149673000,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:46:54",
"content": "does the square root factors in the domain",
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},
{
"id": 1039249733883023500,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:47:24",
"content": "so 0<(x+y)/2<1",
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},
{
"id": 1039249763775807600,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:47:32",
"content": "?",
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},
{
"id": 1039249785326157800,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:47:37",
"content": "Uh no",
"attachments": [],
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},
{
"id": 1039250044299247700,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "11/07/2022 13:48:38",
"content": "Actually it's ok since arccos will give us numbers between 0 and pi",
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},
{
"id": 1039250608676421800,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:50:53",
"content": "ok...",
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"reference": null
},
{
"id": 1039250622366630000,
"author_id": 621415704222236700,
"author_name": "Konter?",
"timestamp": "11/07/2022 13:50:56",
"content": ".close",
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},
{
"id": 1039250625147453400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:50:57",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | c891478c53f44e078218e571280f2287 |
201,439 | [
{
"id": 1039251286761160800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:53:35",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1039252289640222700,
"author_id": 280330159679340540,
"author_name": "ZKS",
"timestamp": "11/07/2022 13:57:34",
"content": "I) is 5.66cm, iii) is 4cm, for ii) what do I do?",
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 13:57:34",
"content": "Pinned a message.",
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{
"id": 1039254978138755200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/07/2022 14:08:15",
"content": "You're looking for angle PDM.",
"attachments": [],
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},
{
"id": 1039255015287685200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/07/2022 14:08:24",
"content": "You know DP and DM",
"attachments": [],
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"reference": null
},
{
"id": 1039255063262154800,
"author_id": 280330159679340540,
"author_name": "ZKS",
"timestamp": "11/07/2022 14:08:35",
"content": "I worked all of them except ii",
"attachments": [],
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},
{
"id": 1039255068228202600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/07/2022 14:08:36",
"content": "so can you use a trig function?",
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},
{
"id": 1039255085223526400,
"author_id": 280330159679340540,
"author_name": "ZKS",
"timestamp": "11/07/2022 14:08:40",
"content": "Let me check",
"attachments": [],
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"reference": null
},
{
"id": 1039256208902737900,
"author_id": 280330159679340540,
"author_name": "ZKS",
"timestamp": "11/07/2022 14:13:08",
"content": "I can use the cosine formula?",
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"timestamp": "11/07/2022 14:13:39",
"content": "since the triangle is 10.58 by 12 and 5.66 and that gives me 3 sides",
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"content": "10.58 cause i worked hyp for pdm",
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"content": "so ans is 61",
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"timestamp": "11/07/2022 14:18:48",
"content": "or i could just use another like cos tan sin",
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"timestamp": "11/07/2022 14:33:49",
"content": "@ZKS Has your question been resolved?",
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"timestamp": "11/07/2022 14:37:23",
"content": "Yep",
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"timestamp": "11/07/2022 14:37:37",
"content": "well I get 61.9, so 62 is better if you're gonna round to a whole degree",
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"timestamp": "11/07/2022 14:48:49",
"content": "Channel closed",
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] | help-9 | 4e82b64585eb4aaa85d55596ab2fbd29 |
201,440 | [
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"content": "I got 3/4 but how would you approach it",
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"timestamp": "10/22/2022 08:43:26",
"content": "Like how to show work",
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"content": "L'hopital's rule",
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"content": "this question pretty much screams for lhopital",
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"timestamp": "10/22/2022 08:47:29",
"content": "and your answer is correct",
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"author_name": "abby",
"timestamp": "10/22/2022 08:51:48",
"content": "So u take the derivative of f(x) and put it on top of g’(x)?",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 8c67a290b0524fb08343bb9782cd0c2b |
201,441 | [
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"content": "tysm 🙂",
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] | help-9 | f89508be91254198987381d120c1f4bd |
201,442 | [
{
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"id": 1039271236561281000,
"author_id": 720403324201074700,
"author_name": "wen",
"timestamp": "11/07/2022 15:12:51",
"content": "if the support of X is defined as [0, sqrt(45)] why can we say that the support of X is equal to {0, 1, 2, 3, 4, 5, 6, 7}",
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"timestamp": "11/07/2022 15:13:20",
"content": "who says that",
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"id": 1039271376420360300,
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"timestamp": "11/07/2022 15:13:24",
"content": "can you give the whole context?",
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"timestamp": "11/07/2022 15:13:56",
"content": "it was an answer a friend had",
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"timestamp": "11/07/2022 15:15:30",
"content": "are you sure they weren't talking about Y?",
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"timestamp": "11/07/2022 15:15:37",
"content": "that would make more sense. would still be wrong tho",
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"content": "Y's support is just {0, 1, 2}",
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"timestamp": "11/07/2022 15:15:54",
"content": "no?",
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{
"id": 1039272136994476000,
"author_id": 720403324201074700,
"author_name": "wen",
"timestamp": "11/07/2022 15:16:26",
"content": "do these weird brackets mean anything",
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"timestamp": "11/07/2022 15:17:56",
"content": "oh bruh",
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"timestamp": "11/07/2022 15:18:08",
"content": "ig 7 does make sense",
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"content": "it's ceiling",
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] | help-9 | 467ba148573643c8b964f0e2f28b92ac |
201,443 | [
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"id": 1039276800875954200,
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"author_name": "Cheese Grater",
"timestamp": "11/07/2022 15:35:14",
"content": "This is supposed to be valid semantic entailment but I don’t see how",
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"timestamp": "11/07/2022 15:35:24",
"content": "Like if you have this\nF and T semantic entailment F -> T",
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"timestamp": "11/07/2022 15:35:30",
"content": "Then you’d end up getting\nF semantic entailment T",
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"timestamp": "11/07/2022 15:35:36",
"content": "Wouldn’t that be wrong?",
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"timestamp": "11/07/2022 15:50:36",
"content": "@Cheese Grater Has your question been resolved?",
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"timestamp": "11/07/2022 16:21:03",
"content": "@Cheese Grater Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 755a5479babd4a8e9a26bbb4483b558f |
201,444 | [
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"id": 1039296598611599400,
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"author_name": "Fartis",
"timestamp": "11/07/2022 16:54:26",
"content": "ive tried to find the derivative",
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"author_name": "ELeonardo",
"timestamp": "11/07/2022 16:55:44",
"content": "Hello, what did you get? 🤔",
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"author_name": "Fartis",
"timestamp": "11/07/2022 16:59:38",
"content": "i got -25/4(1-t/24)",
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"id": 1039298126416203800,
"author_id": 429713284040753150,
"author_name": "Fartis",
"timestamp": "11/07/2022 16:59:42",
"content": "wht do I do next",
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{
"id": 1039298188919709700,
"author_id": 429713284040753150,
"author_name": "Fartis",
"timestamp": "11/07/2022 16:59:57",
"content": "i also know 60 percent of the gas tank to be 45 L",
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"id": 1039298280976289800,
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"author_name": "Fartis",
"timestamp": "11/07/2022 17:00:19",
"content": "do i make the the derivative be equal to 45 L?",
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"timestamp": "11/07/2022 17:06:32",
"content": "hello",
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"id": 1039299853597032400,
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"content": "anyone",
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"timestamp": "11/07/2022 17:06:35",
"content": "help",
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},
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"id": 1039300930430042100,
"author_id": 429713284040753150,
"author_name": "Fartis",
"timestamp": "11/07/2022 17:10:51",
"content": "nvm i got it",
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"timestamp": "11/07/2022 17:10:53",
"content": ".close",
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] | help-9 | b9139983b7c343ab8f93ab3eb5e078a2 |
201,445 | [
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:15:10",
"content": "So I have this graph of acceleration against time for a mass that is oscillating and in shm. How can I show that the period is 0.4s?",
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 17:15:11",
"content": "Pinned a message.",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:15:32",
"content": "Ik this is a physics questions but this server is way more active and I'm asking on the odd chance that someone can help me with this",
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"timestamp": "11/07/2022 17:16:41",
"content": "Yea its fine",
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"timestamp": "11/07/2022 17:16:57",
"content": "do u know what SHM is",
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"content": "Simple harmonic motion, ik a few things about it",
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"timestamp": "11/07/2022 17:17:37",
"content": "Well",
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"content": "simple harmonic motion is when 'the acceleration is proportional to the negative of displacement'",
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"content": "and as u can see",
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"timestamp": "11/07/2022 17:18:19",
"content": "that line is negative",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:18:24",
"content": "that's the main thing ik about it",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:18:26",
"content": "if the line were to be an equation",
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"timestamp": "11/07/2022 17:18:27",
"content": "it would be",
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"timestamp": "11/07/2022 17:18:30",
"content": "y=-x",
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"timestamp": "11/07/2022 17:18:41",
"content": "which is SHM because y=acceleration and x = displacement",
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"timestamp": "11/07/2022 17:18:48",
"content": "u understand?",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:18:54",
"content": "like the gradient of the line is negative",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:19:07",
"content": "Quick question, you're not answering a) are you?",
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"timestamp": "11/07/2022 17:19:16",
"content": "i am",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:19:20",
"content": "am i not suppsoed to?",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:19:35",
"content": "oh, I've done that already. I need to show that the time period is 0.4s",
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"timestamp": "11/07/2022 17:19:45",
"content": "MAybe",
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"timestamp": "11/07/2022 17:19:48",
"content": "post that question",
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"timestamp": "11/07/2022 17:19:48",
"content": "than",
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"timestamp": "11/07/2022 17:19:49",
"content": "coz like",
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"timestamp": "11/07/2022 17:19:51",
"content": "we cant see it",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:19:52",
"content": "I did",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:19:58",
"content": "it's above the image",
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"timestamp": "11/07/2022 17:20:12",
"content": "where does it say show T = 0.4",
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"timestamp": "11/07/2022 17:20:27",
"content": "further down the page...",
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"timestamp": "11/07/2022 17:20:32",
"content": "so",
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"timestamp": "11/07/2022 17:20:33",
"content": "tell me",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:20:35",
"content": "but that's why I mentioned it in text",
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"timestamp": "11/07/2022 17:20:40",
"content": "how wer supposed to do that with an image",
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"id": 1039303433913651300,
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"timestamp": "11/07/2022 17:20:47",
"content": "do u not",
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"id": 1039303436757377000,
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"timestamp": "11/07/2022 17:20:48",
"content": "have",
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"timestamp": "11/07/2022 17:20:49",
"content": "a",
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"id": 1039303441593413600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:20:49",
"content": "pic?",
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"author_id": 678427101375758300,
"author_name": "Flodz",
"timestamp": "11/07/2022 17:21:05",
"content": "by reading my text... yes I can get an image for you. Sorry about thia",
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"timestamp": "11/07/2022 17:21:08",
"content": "this*",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:21:12",
"content": "no all g",
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"timestamp": "11/07/2022 17:21:14",
"content": "So",
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"timestamp": "11/07/2022 17:21:17",
"content": "u know",
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{
"id": 1039303565891620900,
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"timestamp": "11/07/2022 17:21:19",
"content": "equation",
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{
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"timestamp": "11/07/2022 17:21:21",
"content": "for T",
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{
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"timestamp": "11/07/2022 17:21:23",
"content": "on a mass spring",
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"timestamp": "11/07/2022 17:21:24",
"content": "is",
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"timestamp": "11/07/2022 17:21:35",
"content": "T = 2pi sqrt(m/k)",
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"timestamp": "11/07/2022 17:21:36",
"content": "yea/",
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"content": "",
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"timestamp": "11/07/2022 17:22:14",
"content": "$T = 2\\pi\\sqrt{\\frac{m}{k}}$",
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"timestamp": "11/07/2022 17:22:20",
"content": "nice",
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"author_name": "TeXit",
"timestamp": "11/07/2022 17:22:30",
"content": "**Mortta**",
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"timestamp": "11/07/2022 17:22:35",
"content": "I didnt, I missed this lesson but it may be in my data sheet",
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"timestamp": "11/07/2022 17:22:39",
"content": "YEa",
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"timestamp": "11/07/2022 17:22:45",
"content": "oCR is a shit exam board",
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{
"id": 1039303938815557600,
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"timestamp": "11/07/2022 17:22:48",
"content": "but yea it will be",
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"timestamp": "11/07/2022 17:23:01",
"content": "and u know",
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"id": 1039304000299872300,
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"timestamp": "11/07/2022 17:23:03",
"content": "omega",
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"timestamp": "11/07/2022 17:23:05",
"content": "angular frequency",
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{
"id": 1039304075524702200,
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:23:20",
"content": "u know equation for that?",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:23:45",
"content": "2pi / T",
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"timestamp": "11/07/2022 17:23:52",
"content": "$\\omega = \\frac{2\\pi}{T}$",
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"id": 1039304218479173600,
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:23:55",
"content": "or 2pi*f",
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"timestamp": "11/07/2022 17:23:55",
"content": "**Mortta**",
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"timestamp": "11/07/2022 17:23:55",
"content": "perfect",
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"timestamp": "11/07/2022 17:23:59",
"content": "Yea",
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"id": 1039304251740000400,
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"timestamp": "11/07/2022 17:24:02",
"content": "So you know part A",
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"timestamp": "11/07/2022 17:24:15",
"content": "the equation y=-x , isnt stricly true",
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"timestamp": "11/07/2022 17:24:19",
"content": "its y=-kx",
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"id": 1039304329665978500,
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"timestamp": "11/07/2022 17:24:21",
"content": "where k",
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"id": 1039304349018509400,
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"timestamp": "11/07/2022 17:24:26",
"content": "k = omega^2",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:24:36",
"content": "yh I was gonna say that but didn't",
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"timestamp": "11/07/2022 17:24:42",
"content": "So now u got omega^2",
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"timestamp": "11/07/2022 17:24:46",
"content": "square root it",
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"timestamp": "11/07/2022 17:24:48",
"content": "and work out T",
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"timestamp": "11/07/2022 17:25:46",
"content": "the k",
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"timestamp": "11/07/2022 17:25:50",
"content": "in y=-kx",
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"timestamp": "11/07/2022 17:25:56",
"content": "so work out the gradient and then root it",
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"timestamp": "11/07/2022 17:26:01",
"content": "YEp",
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"timestamp": "11/07/2022 17:26:08",
"content": "get gradient root it",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:26:12",
"content": "and than omega/2pi = T",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:26:20",
"content": "okay tysm",
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"timestamp": "11/07/2022 17:26:25",
"content": ":O",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:26:50",
"content": "I'll keep this open until I get an answer",
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"timestamp": "11/07/2022 17:29:50",
"content": "I think its T = 2pi/omega",
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"timestamp": "11/07/2022 17:30:07",
"content": "Yep",
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"id": 1039305785139794000,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:30:08",
"content": "my mistake",
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"id": 1039305795042558100,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:30:10",
"content": "Ur getting good!",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:30:30",
"content": "np, but thanks lmao, rearranging is one thing I can do",
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"id": 1039305906548117600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:30:37",
"content": "ur doin a level physics",
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"id": 1039305946968641700,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:30:47",
"content": "ur already like better than 60% of population",
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"id": 1039306093777658000,
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:31:22",
"content": "yeah, but the sixth form I got to is like really bad",
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"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:31:47",
"content": "Cant be that bad",
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"id": 1039306220902826000,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:31:52",
"content": "my sixth form was shit too tbf",
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"id": 1039307000720396300,
"author_id": 678427101375758300,
"author_name": "Flodz",
"timestamp": "11/07/2022 17:34:58",
"content": "Considering my one physics teacher dropped physics a level and only did AS as it was too hard for her, and did a sports degree at uni. She barely knows physics herself, she just reads PowerPoints to us 😁👍🏻",
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"timestamp": "11/07/2022 17:35:18",
"content": "bro",
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"timestamp": "11/07/2022 17:35:19",
"content": "LMAO",
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"timestamp": "11/07/2022 17:35:21",
"content": "SPORTS DEGREE",
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"timestamp": "11/07/2022 17:35:25",
"content": "Thats unfortunate",
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"id": 1039307154403893400,
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:35:35",
"content": "my teachers didnt do physics either tbf",
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"id": 1039307191125020700,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:35:43",
"content": "one did civil engineering and the other teaching",
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"id": 1039307212767637500,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "11/07/2022 17:35:48",
"content": "bascially taught myself a level",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:36:25",
"content": "uhuh, my other teacher is decent, her degree isn't in physics either but she does try hard to teach us as well as she can",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:37:07",
"content": "yh im basically self taught in physics and maths too, I learn more from this server than I do at school",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:37:19",
"content": "what u plan on studying at uni if your going",
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"author_name": "Mortta",
"timestamp": "11/07/2022 17:37:36",
"content": "MATHS was best A Level we only had liek 6 people in our class so it was like one big friend group just to mess around with",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:38:06",
"content": "Comp science which is weird bc I didn't do it in gcse and I don't do it in A-level as our school only offered it as a btec, which I don't want to do",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:38:59",
"content": "but yh I enjoy maths, there's about 12 of us but it's good, the teachers is a wonderful woman too",
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"author_name": "Flodz",
"timestamp": "11/07/2022 17:41:08",
"content": "I got 0.397s though which is ~0.4s, so thank you a lot!",
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"timestamp": "11/07/2022 17:47:24",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 17:47:25",
"content": "Channel closed",
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] | help-9 | 48a164ca608a4f2680d46655eceea034 |
201,446 | [
{
"id": 1039311484498493400,
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 17:52:47",
"content": "Available help channel!",
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{
"id": 1039314534189514800,
"author_id": 167758251230887940,
"author_name": "Gira",
"timestamp": "11/07/2022 18:04:54",
"content": "I have an interesting problem for a MIDI piano program I'm developing.\nA piano has 12 keys per octave, with a reoccurring 12 note sequence for every octave after another (pattern shown in picture). Each key in the octave has an assigned value from 1 to 12, which ascends for every octave (octave 2 will have numbers 13-24, and so on).\nLet's assume that the piano has an infinite number of octaves; how would you construct a formula for a number sequence to identify all black keys (2,4,7,9,11)?",
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"timestamp": "11/07/2022 18:04:55",
"content": "Pinned a message.",
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"timestamp": "11/07/2022 18:19:54",
"content": "@Gira Has your question been resolved?",
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"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "11/07/2022 18:32:30",
"content": "interesting program you got there\n\nbasically the black keys are\n2, 4 7, 9, 11, 14, 16, 19, 21, 23, 26, 28, 31, 33, 35, ...\n\nif you regroup the terms you will get\n\n2, 14, 26, ...\n4, 16, 28, ...\n7, 19, 31, ...\n9, 21, 33, ...\n11, 23, 35, ...",
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"author_name": "xHqrry",
"timestamp": "11/07/2022 18:34:15",
"content": "now each sequence is an arithmetic sequence with difference 12 but different starting points (i.e. 2, 4, 7, 9, 11) so you can get the following formula for every black key :\n12n - 10\n12n - 8\n12n - 5\n12n - 3\n12n - 1\n\nyou can basically plug in any natural number n into these to get a black key",
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"id": 1039321955754594300,
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"author_name": "xHqrry",
"timestamp": "11/07/2022 18:34:23",
"content": "idk if this is the answer u r looking for",
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"id": 1039322430784676000,
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"author_name": "Gira",
"timestamp": "11/07/2022 18:36:17",
"content": "testing that out rq!",
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"author_name": "Gira",
"timestamp": "11/07/2022 18:44:23",
"content": "@xHqrry so *n* is the octave number? making 12*2 - 10 the sixth black note",
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"author_name": "xHqrry",
"timestamp": "11/07/2022 18:49:14",
"content": "yes!",
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"author_name": "Gira",
"timestamp": "11/07/2022 18:49:25",
"content": "ok sweet, that makes sense, thanks!",
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"timestamp": "11/07/2022 18:49:40",
"content": "yw 👍",
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 19:19:26",
"content": "@Gira Has your question been resolved?",
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"timestamp": "11/07/2022 19:49:26",
"content": "Channel closed",
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] | help-9 | 62595906703b43e09cd8818bed2c442a |
201,447 | [
{
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"timestamp": "11/07/2022 19:50:26",
"content": "Available help channel!",
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"id": 1039341848877076600,
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"timestamp": "11/07/2022 19:53:26",
"content": "Find intersecion H and S",
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"timestamp": "11/07/2022 19:53:27",
"content": "Pinned a message.",
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"timestamp": "11/07/2022 20:08:27",
"content": "@kito Has your question been resolved?",
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"timestamp": "11/07/2022 20:23:17",
"content": "hello. have you tried something ?",
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"content": "Channel closed",
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}
] | help-9 | 42bc02efec664ab0b4332638229a4b35 |
201,448 | [
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"content": "Available help channel!",
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"timestamp": "11/07/2022 20:31:03",
"content": "is this valid",
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"author_id": 108728149944057860,
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"timestamp": "11/07/2022 20:31:32",
"content": "trying to do a trig substitution",
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"timestamp": "11/07/2022 20:32:27",
"content": "I think I need to get it in a certain form",
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"id": 1039351807450816500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:33:01",
"content": "Idk what u were trying to do in ur first photo, but ur second photo looks good",
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"id": 1039351907069739000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:33:24",
"content": "Wait",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:33:42",
"content": "I'm supposed to use trig substitution to solve the problem",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:33:47",
"content": "Which trig are u gonna integrate it into?",
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"timestamp": "11/07/2022 20:33:56",
"content": "idk",
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"timestamp": "11/07/2022 20:34:09",
"content": "I kinda procrastinated on this chapter",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:34:34",
"content": "Is it supposed to be + 9x^2 or - 9x^2",
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"timestamp": "11/07/2022 20:34:52",
"content": "+",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:34:58",
"content": "Damn",
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"timestamp": "11/07/2022 20:35:20",
"content": "",
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"timestamp": "11/07/2022 20:35:27",
"content": "137.",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:35:56",
"content": "I know 1/(sqrt(a-x^2)) but not when it’s plus",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:36:35",
"content": "But anyways, when u DO find the right trig, just remember to do u-substitution before doing anything trig stuff",
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"timestamp": "11/07/2022 20:36:42",
"content": "it's a bit different innit",
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"timestamp": "11/07/2022 20:36:57",
"content": "for something of the form a^2 + x^2, you can make the sub x = a*tan(theta)",
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"timestamp": "11/07/2022 20:37:00",
"content": "well, the problem tells me to use trig sub",
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"timestamp": "11/07/2022 20:37:13",
"content": "ok",
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"id": 1039352896606715900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:37:20",
"content": "I can do u sub AND trig",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:37:24",
"content": "the thing I'm stuck on is this mfin 9",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/07/2022 20:37:29",
"content": "For example u = 3x",
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"timestamp": "11/07/2022 20:37:50",
"content": "what about the 9",
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"timestamp": "11/07/2022 20:37:59",
"content": "you've handled the 9 correctly",
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"timestamp": "11/07/2022 20:38:10",
"content": "9x^2 = (3x)^2 = u^2",
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"timestamp": "11/07/2022 20:38:25",
"content": "That’s why I made u = 3x",
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"timestamp": "11/07/2022 20:38:28",
"content": "",
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"timestamp": "11/07/2022 20:38:32",
"content": "??",
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"timestamp": "11/07/2022 20:38:37",
"content": "yeah that's fine",
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"timestamp": "11/07/2022 20:38:44",
"content": "so you have (1/3)^2 + x^2",
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"timestamp": "11/07/2022 20:39:05",
"content": "sorry one sec",
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"timestamp": "11/07/2022 20:40:44",
"content": "ok",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:40:48",
"content": "had to switch to computer",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:40:51",
"content": "so I can type",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:41:07",
"content": "don't you need it to be in the form (1 + x^2)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:41:11",
"content": "to do trig sub?",
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"timestamp": "11/07/2022 20:41:20",
"content": "or I guess that doesn't matter",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:41:24",
"content": "??",
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"author_id": 165914200332304400,
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"timestamp": "11/07/2022 20:41:26",
"content": "you need it in the form a^2 + x^2",
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"timestamp": "11/07/2022 20:41:41",
"content": "uhm ok",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:42:00",
"content": "sorry I'm kinda confused",
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"author_name": "Steakanator",
"timestamp": "11/07/2022 20:42:30",
"content": "the denominator of your integrand is $3 \\sqrt{ \\frac 19 + x^2}$",
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"author_name": "TeXit",
"timestamp": "11/07/2022 20:42:33",
"content": "**Steakanator**",
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"timestamp": "11/07/2022 20:42:46",
"content": "the thing within the sqrt is of the form a^2 + x^2",
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"timestamp": "11/07/2022 20:43:01",
"content": "and I said what the appropriate trig sub is in that case",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:43:41",
"content": "it doesn't look like it's in the form a^2 + x^2",
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"id": 1039354548390727800,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:43:54",
"content": "you can distribute 3 over the terms under a sqrt?",
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"author_name": "Steakanator",
"timestamp": "11/07/2022 20:44:12",
"content": "it becomes 9 when you move it under the square root",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:44:32",
"content": "hmm, this is a little unfamiliar to me",
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"id": 1039354750447132700,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:44:42",
"content": "like how we got from A to B",
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"timestamp": "11/07/2022 20:45:16",
"content": "$\\sqrt{1 + 9x^2} = \\sqrt{9(\\frac 19 + x^2)} = \\sqrt 9 \\sqrt{\\frac 19 + x^2}$",
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"id": 1039355006886883300,
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"author_name": "TeXit",
"timestamp": "11/07/2022 20:45:43",
"content": "**Steakanator**",
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"timestamp": "11/07/2022 20:45:49",
"content": "my TeX is not great apparently",
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"timestamp": "11/07/2022 20:46:32",
"content": "hmmm ok",
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"id": 1039355308151152800,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 20:46:55",
"content": "do these steps all track?",
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"id": 1039355451214659700,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:47:29",
"content": "from B to C I'm not so sure about",
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"timestamp": "11/07/2022 20:47:32",
"content": "I get A to B",
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"timestamp": "11/07/2022 20:47:34",
"content": "but not B to C",
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"id": 1039355509163180000,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:47:43",
"content": "I guess because it's a multiple?",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 20:47:45",
"content": "it's one of the distributive laws of exponents",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:47:54",
"content": "since 9 is a multiple of the thing under the sqrt",
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"timestamp": "11/07/2022 20:48:00",
"content": "(a\\*b)^c = a^c * b^c",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:48:04",
"content": "you can factor it out essentially?",
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"timestamp": "11/07/2022 20:48:10",
"content": "i'm more focused on the sqrt being an exponent",
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"timestamp": "11/07/2022 20:48:44",
"content": "not sure I follow",
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"timestamp": "11/07/2022 20:49:15",
"content": "taking the sqrt of something is the same thing as raising it to the 1/2 power",
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"timestamp": "11/07/2022 20:50:15",
"content": "uhm, hm ok",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:51:20",
"content": "so it's kinda like factoring the 9 out",
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"timestamp": "11/07/2022 20:51:29",
"content": "it looks like",
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"timestamp": "11/07/2022 20:51:37",
"content": "it's just using this rule",
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"timestamp": "11/07/2022 20:51:44",
"content": "oh, ok",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:51:51",
"content": "alright",
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"timestamp": "11/07/2022 20:51:55",
"content": "that makes sense",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:52:05",
"content": "I get it XD",
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"id": 1039356729701453800,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:52:34",
"content": "so now it looks like I can make a trig sub",
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"timestamp": "11/07/2022 20:52:55",
"content": "indeed",
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{
"id": 1039357303725498400,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:54:51",
"content": "I feel like there's a lot of steps I don't understand",
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"id": 1039357386793697300,
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"timestamp": "11/07/2022 20:55:11",
"content": "what steps?",
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"timestamp": "11/07/2022 20:55:45",
"content": "",
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"timestamp": "11/07/2022 20:55:50",
"content": "from my textbook",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:56:07",
"content": "like what just happened here",
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"timestamp": "11/07/2022 20:56:08",
"content": "lmao",
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"timestamp": "11/07/2022 20:56:14",
"content": "x = tan(theta)",
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"timestamp": "11/07/2022 20:56:40",
"content": "sqrt(1 + x^2) = sec(theta)?",
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"timestamp": "11/07/2022 20:56:51",
"content": "this is an identity thing innit",
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"timestamp": "11/07/2022 20:57:00",
"content": "tan^2(theta) + 1 = sec^2(theta)",
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"timestamp": "11/07/2022 20:57:13",
"content": "because of identities?",
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"timestamp": "11/07/2022 20:57:30",
"content": "one of them",
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"timestamp": "11/07/2022 20:58:02",
"content": "",
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"timestamp": "11/07/2022 20:58:26",
"content": "'cept it's 1/9 + x^2",
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"timestamp": "11/07/2022 20:58:49",
"content": "dk what to do with this 3",
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"timestamp": "11/07/2022 20:58:53",
"content": "hence why you multiply by a",
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"timestamp": "11/07/2022 20:59:08",
"content": "the 3 can just be pulled outside of the integral",
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"timestamp": "11/07/2022 20:59:22",
"content": "huh",
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"id": 1039358516231676000,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 20:59:40",
"content": "a tad confused 😬",
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"id": 1039358629595316200,
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"timestamp": "11/07/2022 21:00:07",
"content": "ok",
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"id": 1039358649996423200,
"author_id": 108728149944057860,
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"timestamp": "11/07/2022 21:00:12",
"content": "the 1/3",
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"author_id": 108728149944057860,
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"timestamp": "11/07/2022 21:00:26",
"content": "?",
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"id": 1039358729319100400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:00:31",
"content": "what about it?",
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"id": 1039358757966184600,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:00:38",
"content": "that can be factored out?",
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"timestamp": "11/07/2022 21:00:42",
"content": "of the integrand",
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"timestamp": "11/07/2022 21:00:47",
"content": "constants can be pulled out yes",
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"timestamp": "11/07/2022 21:00:57",
"content": "mk",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:01:22",
"content": "uhm",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:03:11",
"content": "probably gonna have to read this chapter a lil more",
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"timestamp": "11/07/2022 21:04:51",
"content": "",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:05:05",
"content": "I don't have sqrt(1 + x^2)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:05:16",
"content": "I have sqrt(1/9 + x^2)",
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"id": 1039359937056350200,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:05:19",
"content": "??",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:05:25",
"content": "indeed",
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"id": 1039359996892295200,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:05:33",
"content": "it still works?",
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"id": 1039360053280514200,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:05:47",
"content": "well you can't substitute x = tan(theta)",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:06:01",
"content": "ooh",
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"id": 1039360131441381400,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:06:05",
"content": "so I have to use the right constant",
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"timestamp": "11/07/2022 21:06:11",
"content": "yes",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:06:18",
"content": "so that both terms will come out to sqrt(1 + x^2)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:06:23",
"content": "ooooh",
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"id": 1039360240979820500,
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"timestamp": "11/07/2022 21:06:31",
"content": "well you can factor something out after the sub",
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"id": 1039360328384905200,
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"author_name": "Steakanator",
"timestamp": "11/07/2022 21:06:52",
"content": "focus less on the x^2, and more on ending with 1 + tan^2(theta)",
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"id": 1039360354389598200,
"author_id": 165914200332304400,
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"timestamp": "11/07/2022 21:06:58",
"content": "because that's what allows the simplification",
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"id": 1039360632648118300,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:08:05",
"content": "ok",
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"id": 1039360668995944600,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:08:13",
"content": "I want to get it in that form essentially?",
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"id": 1039360705058586600,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:08:22",
"content": "yes",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:09:17",
"content": "https://tenor.com/view/positive-bear-relax-stay-positive-positive-attitude-gif-5484463",
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"id": 1039360949804601300,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:09:20",
"content": "XD",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:09:23",
"content": "ok, I can do this",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:12:20",
"content": "",
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"timestamp": "11/07/2022 21:12:28",
"content": "the last expression...",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:12:41",
"content": "uhh",
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"id": 1039361851521245200,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:12:55",
"content": "I want to sub x=9tan(theta) ?",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:13:18",
"content": "and so then it would be.... 1 + 9tan(theta)",
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"timestamp": "11/07/2022 21:13:31",
"content": "or 1/9",
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"id": 1039362142270406700,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:14:05",
"content": "it wouldn't end like that",
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"id": 1039362194816651400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:14:17",
"content": "if x = 9tan(theta) then x^2 = 27tan^2(theta)",
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"id": 1039362221358198800,
"author_id": 165914200332304400,
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"timestamp": "11/07/2022 21:14:23",
"content": "which doesn't afford the factoring needed",
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"id": 1039362581535674400,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:15:49",
"content": "hm, k",
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{
"id": 1039362819105226800,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:16:46",
"content": "lol",
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"id": 1039362848301793500,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:16:53",
"content": "I should have done this sooner",
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{
"id": 1039362934138220500,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:17:13",
"content": "it's due tonight and I have no idea what I'm doing",
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"id": 1039363015553847300,
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"author_name": "Steakanator",
"timestamp": "11/07/2022 21:17:33",
"content": "you have 1/9 + ... and you need to end with 1 + ...",
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"author_name": "Steakanator",
"timestamp": "11/07/2022 21:17:43",
"content": "meaning you need to be able to factor out... what number?",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:18:20",
"content": "9?",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:18:45",
"content": "1/9 + 9x = 9(1/81 + x)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:21:51",
"content": "",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:21:54",
"content": "let's say I have this",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:22:10",
"content": "start from square 1 lol",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:22:30",
"content": "so (1/9 + x^2) fits the form (a^2 + x^2) right?",
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"timestamp": "11/07/2022 21:22:36",
"content": "yes",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:22:41",
"content": "like 1/9 can be considered a square of something",
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"timestamp": "11/07/2022 21:23:07",
"content": "so now I can x=1/9tan^2(theta) ?",
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"timestamp": "11/07/2022 21:23:14",
"content": "no",
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"id": 1039364466518802400,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:23:19",
"content": "or something like that",
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"id": 1039364468829855900,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "11/07/2022 21:23:19",
"content": "look at the sub again",
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"timestamp": "11/07/2022 21:23:35",
"content": "what did I say you can set x =",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:23:44",
"content": "x = atan(theta)?",
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"id": 1039364588367528000,
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"timestamp": "11/07/2022 21:23:48",
"content": "indeed",
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"author_name": "Steakanator",
"timestamp": "11/07/2022 21:23:53",
"content": "now if 1/9 = a^2, what is a?",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/07/2022 21:23:56",
"content": "oh, I added a ^2 in there by accident?",
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"timestamp": "11/07/2022 21:24:04",
"content": "I suppose I did",
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"content": "a=sqrt(1/9)",
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"timestamp": "11/07/2022 21:24:25",
"content": "which is",
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"content": "1/3",
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"content": "?",
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"timestamp": "11/07/2022 21:24:35",
"content": "there we go",
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"content": "https://tenor.com/view/reaction-victory-entourage-winning-success-gif-5410487",
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"timestamp": "11/07/2022 21:24:52",
"content": "so x = tan(theta)/3",
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"content": "ok, starting to make sense",
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"timestamp": "11/07/2022 21:29:11",
"content": "and what is (1/3 tan[theta])^2?",
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"timestamp": "11/07/2022 21:30:37",
"content": "1/9 * tan^2(theta) ?",
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"content": "yes",
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"timestamp": "11/07/2022 21:31:02",
"content": "we want the coefficient to be 1/9 so we can factor it out and be left with the 1 + tan^2 that we want",
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"timestamp": "11/07/2022 21:32:11",
"content": "forgot a closing parenthesis",
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"timestamp": "11/07/2022 21:33:01",
"content": "could I just multiply the 9 back in",
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"timestamp": "11/07/2022 21:33:18",
"content": "sure",
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"timestamp": "11/07/2022 21:33:30",
"content": "that doesn't seem right though",
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"timestamp": "11/07/2022 21:33:34",
"content": "or does it",
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"timestamp": "11/07/2022 21:33:46",
"content": "go back to your original denominator",
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"timestamp": "11/07/2022 21:33:48",
"content": "1 + 9x^2",
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"timestamp": "11/07/2022 21:33:50",
"content": "yeah",
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"timestamp": "11/07/2022 21:33:54",
"content": "oh right",
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"timestamp": "11/07/2022 21:34:01",
"content": "we did a substitution",
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"timestamp": "11/07/2022 21:34:03",
"content": "if you make the same substitution x = 1/3 tan(theta), what do you end up with?",
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"timestamp": "11/07/2022 21:34:48",
"content": "3tan^2(theta)",
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"timestamp": "11/07/2022 21:35:06",
"content": "1 + 3tan^2(theta)",
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"timestamp": "11/07/2022 21:35:31",
"content": "not quite",
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"timestamp": "11/07/2022 21:35:49",
"content": "you said that this is your x^2",
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"timestamp": "11/07/2022 21:35:58",
"content": "1/9tan^2(theta)",
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"timestamp": "11/07/2022 21:35:58",
"content": "so 1 + 9 * 1/9 tan^2(theta)",
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"content": "ok, yeah",
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"timestamp": "11/07/2022 21:36:26",
"content": "hum alright",
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"timestamp": "11/07/2022 21:36:43",
"content": "so it's ok because we made the right substitution",
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"content": "and simplifies to 1 + tan^2(theta)",
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"timestamp": "11/07/2022 21:36:53",
"content": "the denom",
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"content": "we made that sub for the sole purpose of getting to that denominator yes",
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"timestamp": "11/07/2022 21:37:07",
"content": "ahhh k",
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"timestamp": "11/07/2022 21:37:47",
"content": "so now I need to account for d*theta",
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"timestamp": "11/07/2022 21:37:51",
"content": "I believe",
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"timestamp": "11/07/2022 21:37:54",
"content": "dx = whatever",
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"timestamp": "11/07/2022 21:38:19",
"content": "yes",
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"timestamp": "11/07/2022 21:38:22",
"content": "so what is dx?",
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"timestamp": "11/07/2022 21:39:22",
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"timestamp": "11/07/2022 21:39:33",
"content": "good",
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"timestamp": "11/07/2022 21:39:39",
"content": ":hyperPepe:",
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"timestamp": "11/07/2022 21:41:18",
"content": "now you can simplify your denominator",
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"timestamp": "11/07/2022 21:42:04",
"content": "ah yes",
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"timestamp": "11/07/2022 21:42:26",
"content": "the denom now equals...",
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"timestamp": "11/07/2022 21:42:30",
"content": "sec(theta)",
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"timestamp": "11/07/2022 21:42:33",
"content": "??",
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"timestamp": "11/07/2022 21:43:22",
"content": "yes",
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"timestamp": "11/07/2022 21:43:23",
"content": "I believe it does",
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"timestamp": "11/07/2022 21:43:27",
"content": "awesome",
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"timestamp": "11/07/2022 21:43:52",
"content": "that's why we wanted to get the denominator in that form",
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"timestamp": "11/07/2022 21:43:59",
"content": "hopefully the steps are starting to make sense",
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"timestamp": "11/07/2022 21:44:12",
"content": "yes, ty",
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"timestamp": "11/07/2022 21:44:17",
"content": "we make the sub to get it into a good form, because that form simplifies super nicely using trig identities",
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"timestamp": "11/07/2022 21:44:28",
"content": "ic ic",
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"timestamp": "11/07/2022 21:44:31",
"content": "well, identity",
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"timestamp": "11/07/2022 21:44:32",
"content": "I appreciate u",
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"timestamp": "11/07/2022 21:44:33",
"content": "just the one",
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"timestamp": "11/07/2022 21:45:07",
"content": "awesome, I think I get it, super appreciate it",
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"content": "groovy",
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"timestamp": "11/07/2022 21:45:23",
"content": "patience of a saint",
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"content": "hahaha",
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"timestamp": "11/07/2022 21:55:07",
"content": "Channel closed",
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] | help-9 | 3568249eb79d4635abbb29b9f9b57bef |
201,449 | [
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"timestamp": "11/07/2022 21:56:07",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "for the first one ik to take the derivative and equal it to zero",
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"id": 1039373370766135300,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "11/07/2022 21:58:42",
"content": "but how to solve for x",
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},
{
"id": 1039373467444854900,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "11/07/2022 21:59:05",
"content": "the derivative is 0 only when the top is 0",
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"id": 1039373641164533800,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "11/07/2022 21:59:46",
"content": "so the critical point would be zero?",
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{
"id": 1039373713503703000,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "11/07/2022 22:00:03",
"content": "i believe it also includes points of discontinuity",
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{
"id": 1039373813995016300,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "11/07/2022 22:00:27",
"content": "and how do i find the points of discontinuity",
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},
{
"id": 1039373864091779100,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "11/07/2022 22:00:39",
"content": "when is f(x) not continuous?",
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},
{
"id": 1039374109446000800,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "11/07/2022 22:01:38",
"content": "if the bottom equals zero?",
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},
{
"id": 1039374134997684200,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "11/07/2022 22:01:44",
"content": "yes",
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},
{
"id": 1039378026347114500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 22:17:12",
"content": "@Don Bata Has your question been resolved?",
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"author_name": "Don Bata",
"timestamp": "11/07/2022 22:18:04",
"content": ".close",
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},
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"id": 1039378247135285200,
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"timestamp": "11/07/2022 22:18:04",
"content": "Channel closed",
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}
] | help-9 | badad09774a2459ca2cc20b700ed0c84 |
201,450 | [
{
"id": 1039378500253130800,
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"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 22:19:05",
"content": "Available help channel!",
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},
{
"id": 1039378608843657200,
"author_id": 749753900885868700,
"author_name": "kimchi",
"timestamp": "11/07/2022 22:19:31",
"content": "discrete math: what is incorrect here?",
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"content": "Pinned a message.",
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"id": 1039378941938499700,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/07/2022 22:20:50",
"content": "i think step 2 is ok?",
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},
{
"id": 1039381360428728400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/07/2022 22:30:27",
"content": "why are p in step 2 and p in step 5 the same prime?",
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"id": 1039382619743338500,
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"timestamp": "11/07/2022 22:35:27",
"content": "@kimchi Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 7e642d615cd941a2928e7d4dcd312d1e |
201,451 | [
{
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"content": "Available help channel!",
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{
"id": 1033366859828957200,
"author_id": 1024342623080693800,
"author_name": "Walter",
"timestamp": "10/22/2022 09:10:58",
"content": "strings",
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"content": "Pinned a message.",
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"id": 1033366922005336000,
"author_id": 1024342623080693800,
"author_name": "Walter",
"timestamp": "10/22/2022 09:11:13",
"content": "whats r ?",
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"id": 1033370697973633000,
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"timestamp": "10/22/2022 09:26:13",
"content": "@Walter Has your question been resolved?",
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"timestamp": "10/22/2022 09:26:24",
"content": "no",
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"timestamp": "10/22/2022 09:56:24",
"content": "@Walter Has your question been resolved?",
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"timestamp": "10/22/2022 11:02:05",
"content": "@Walter Has your question been resolved?",
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"id": 1033401411662262300,
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"author_name": "habukichan",
"timestamp": "10/22/2022 11:28:16",
"content": ".close",
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"id": 1033401414644400300,
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] | help-9 | 61a967d11f6045dda6d82519cb9a0894 |
201,452 | [
{
"id": 1039386648858853400,
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"timestamp": "11/07/2022 22:51:27",
"content": "Available help channel!",
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},
{
"id": 1039387553427632300,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "11/07/2022 22:55:03",
"content": "how would i put e in the calculator",
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{
"id": 1039388529974845600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 22:58:56",
"content": "There should be a e^[] button on the calculator",
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},
{
"id": 1039389444765126700,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "11/07/2022 23:02:34",
"content": "where",
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},
{
"id": 1039389478575423600,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "11/07/2022 23:02:42",
"content": "is it the In one",
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},
{
"id": 1039391094623969300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:09:07",
"content": "What kind of calculator do you have",
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},
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"id": 1039391226509668500,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "11/07/2022 23:09:39",
"content": "a scientific one",
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},
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"id": 1039392079899533300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:13:02",
"content": "I meant the model",
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"id": 1039393376203714700,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "11/07/2022 23:18:11",
"content": "casio fx-300ms",
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"id": 1039396042413719600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:28:47",
"content": "Then idk if it's on there",
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},
{
"id": 1039396070502961300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:28:54",
"content": "You can estimate e with 2.718",
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"id": 1039396098403467300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:29:00",
"content": ",w calc E",
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},
{
"id": 1039396112714436700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/07/2022 23:29:04",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1039396122680102900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:29:06",
"content": "Bruh",
"attachments": [],
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},
{
"id": 1039396141336367100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/07/2022 23:29:11",
"content": ",w calc e * 1",
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},
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"id": 1039396150345740300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/07/2022 23:29:13",
"content": "Results provided by WolframAlpha",
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},
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"id": 1039397400588066800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/07/2022 23:34:11",
"content": "@에미 Has your question been resolved?",
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"timestamp": "11/07/2022 23:43:06",
"content": "o",
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"timestamp": "11/07/2022 23:43:08",
"content": ".close",
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] | help-9 | 4af1bf41cbc34fb7ab949e6449f4d864 |
201,453 | [
{
"id": 1039399909431976000,
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"content": "Available help channel!",
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},
{
"id": 1039400822091558900,
"author_id": 1010068382604861400,
"author_name": "ap",
"timestamp": "11/07/2022 23:47:47",
"content": "i need help with indicial equations, so to find the indicial equation of 2xy''+5y'+xy=0, i get 4 terms outside of the series when raising the indices",
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"id": 1039400823978995700,
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"content": "Pinned a message.",
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"id": 1039401145455611900,
"author_id": 1010068382604861400,
"author_name": "ap",
"timestamp": "11/07/2022 23:49:04",
"content": "i end up with c_0x^-1(2r^2+3r) + c_1(2r^2+7r+5) = 0",
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},
{
"id": 1039401555243311100,
"author_id": 1010068382604861400,
"author_name": "ap",
"timestamp": "11/07/2022 23:50:41",
"content": "i have the solution that tells me that the indicial equation is 2r^2+3r=0 so my question is do we just take the smaller term (c_0 in this case) and ignore whatever is being multiplied by c_1?",
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},
{
"id": 1039401880629018800,
"author_id": 1010068382604861400,
"author_name": "ap",
"timestamp": "11/07/2022 23:51:59",
"content": "sorry if the work is really messy/ hard to follow",
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"content": "@ap Has your question been resolved?",
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"timestamp": "11/08/2022 00:40:34",
"content": "@ap Has your question been resolved?",
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"timestamp": "11/08/2022 01:44:22",
"content": "@ap Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 5ae4c40d9ffb40d79f00e7e23fcbef6d |
201,454 | [
{
"id": 1039436366611759100,
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"timestamp": "11/08/2022 02:09:01",
"content": "Available help channel!",
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},
{
"id": 1039436773924806700,
"author_id": 746723393285652500,
"author_name": "azurE",
"timestamp": "11/08/2022 02:10:38",
"content": "Can I have some clue on how to start on this one",
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"timestamp": "11/08/2022 02:10:39",
"content": "Pinned a message.",
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"id": 1039439736114266100,
"author_id": 699462522247446700,
"author_name": "Maximus Laurie",
"timestamp": "11/08/2022 02:22:24",
"content": "hmm let me take a look",
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},
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"id": 1039440995219148900,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 02:27:25",
"content": "@azurE Has your question been resolved?",
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"content": "@azurE Has your question been resolved?",
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"content": "try changing left-hand side with respect to theta/2",
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"content": "@azurE Has your question been resolved?",
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"author_name": "Alyssa Blak",
"timestamp": "11/08/2022 04:26:39",
"content": "this is my solution",
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"timestamp": "11/08/2022 04:27:04",
"content": "think i might've made a math error someone just because the answers weren't nice whole numbers but the logic should be right",
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"content": "but if you follow just that first half with the proof it should set you on the right track",
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"timestamp": "11/08/2022 05:11:20",
"content": "Thanks a lot!",
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"content": ".close",
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] | help-9 | 13c9176063dd4013b020f7a483dbb81a |
201,455 | [
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"content": "Hi, this is not a homework but I wish to know, what is the main goal of Rational Functions? What are we looking for in it? How does it help in real world problems?",
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201,456 | [
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"content": "That's what I have done so far",
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"content": "@Helpers",
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"content": "@alex_123 Has your question been resolved?",
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"content": "@alex_123 Has your question been resolved?",
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] | help-9 | 1bfd75474ac948b19c9808406efb2729 |
201,457 | [
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"author_name": "dopamine",
"timestamp": "11/08/2022 08:47:11",
"content": "why is the intergral of sin^2(x^2 - 3x + 10) a number between 1 and 0",
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"author_name": "Umbraleviathan",
"timestamp": "11/08/2022 08:54:45",
"content": "What",
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"id": 1039538494772621300,
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"timestamp": "11/08/2022 08:54:50",
"content": "What are the bounds",
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"author_name": "dopamine",
"timestamp": "11/08/2022 08:55:43",
"content": "bounds are 1 to 0",
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"timestamp": "11/08/2022 08:56:38",
"content": "wdym by why",
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"author_name": "ramonov",
"timestamp": "11/08/2022 08:56:55",
"content": "what's the exact wording of the original question",
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"author_name": "ramonov",
"timestamp": "11/08/2022 09:00:10",
"content": "consider\n0 <= sin^2(x^2 - 3x + 10) <=1",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:00:41",
"content": "do i need to evaluate the intergral",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:00:46",
"content": "sorta had trouble doing that",
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"timestamp": "11/08/2022 09:00:47",
"content": "no",
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"author_name": "ramonov",
"timestamp": "11/08/2022 09:02:18",
"content": "if they wanted you to evaluate, they would've asked you to",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:02:45",
"content": "does this have to do with sins domain",
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"author_name": "ramonov",
"timestamp": "11/08/2022 09:03:21",
"content": "its related to the range",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:03:58",
"content": "range of sin is −1 ≤ sin x ≤ 1",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:04:26",
"content": "the bounds are 0 and 1",
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"id": 1039540950013329500,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:04:36",
"content": "there cant be a ngative number from the bounds",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:05:37",
"content": "do the bounds represent x values and the output represent y values?",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:07:21",
"content": "can you explain",
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"id": 1039542858627166200,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:12:11",
"content": "The range of sin is indeed [-1, 1], and this is useful to solve the problem. First, what do you think the range of sin² is from what you know about the range of sin?",
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"id": 1039542897940373500,
"author_id": 459399919074148350,
"author_name": "boat",
"timestamp": "11/08/2022 09:12:20",
"content": "is anyone in this discord good at propositional logic bcs it seems like no one can help me speciifcally xd. i repost my question 3 times in 6 hrs and no reply 💀",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:13:15",
"content": "its the same",
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"id": 1039543142220845000,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:13:18",
"content": "[-1, 1]",
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"id": 1039543184180658300,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:13:28",
"content": "No",
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"id": 1039543277470363600,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:13:51",
"content": "What would happen with all the negative numbers in the range of sin, when you square it?",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:14:01",
"content": "oh wait",
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{
"id": 1039543337738305500,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:14:05",
"content": "they become positive",
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},
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"id": 1039543412254318700,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:14:23",
"content": "Yes",
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"id": 1039543442679799800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:14:30",
"content": "So range of sin² would be?",
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"id": 1039543676294148200,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:15:26",
"content": "does it just become [0,1]",
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"id": 1039543695751520300,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:15:30",
"content": "Exactly",
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"id": 1039543986391629800,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:16:40",
"content": "Normally when we do integrals, the value we get only shows us the area under the graph, as long as we don't pass the x-axis at any point with our bounds",
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"id": 1039544195305717900,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:17:29",
"content": "You know the range of sin² is [0, 1], so an integral of this from any bounds will always give you the area under the graph",
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{
"id": 1039544331159228400,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:18:02",
"content": "Since we are not passing the x-axis",
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"id": 1039544388096905300,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:18:15",
"content": "This makes it much easier for us to visualize the value of the integral",
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},
{
"id": 1039544453418983400,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:18:31",
"content": "wait so your intergral cannot pass the bounds of an x axis?",
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"id": 1039544542644404400,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:18:52",
"content": "It can, but then it doesn't give you the area under anymore",
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{
"id": 1039544664560242700,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:19:21",
"content": "thank you so much",
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},
{
"id": 1039544683132637300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:19:26",
"content": "can i ask one more question",
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},
{
"id": 1039544717815328900,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:19:34",
"content": "We are not done yet",
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},
{
"id": 1039544732843507800,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:19:38",
"content": "ok",
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},
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"id": 1039544796106215400,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:19:53",
"content": "You know the maximum value of sin² is 1",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:20:29",
"content": "And you know the integral must give you a physical area because the range is strictly positive (and includes 0)",
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"timestamp": "11/08/2022 09:20:43",
"content": "You also know your bounds are from x = 0 to x = 1",
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"timestamp": "11/08/2022 09:21:03",
"content": "What is the maximum value you think this can give you?",
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"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:21:46",
"content": "With a max height of 1 and a \"width\" of Δx = 1",
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"id": 1039545401272959100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:22:17",
"content": "1?",
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"id": 1039545420013121500,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:22:21",
"content": "Yes",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:22:58",
"content": "We can imagine the maximum would be a theoretical square with width 1 and height 1, which would be area of 1",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:23:09",
"content": "And the minimum?",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:23:28",
"content": "The function has a min value of 0",
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"id": 1039545727837290600,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:23:35",
"content": "So the miminum height is?",
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"id": 1039545740688621600,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:23:38",
"content": "0",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:23:41",
"content": "Yes",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:24:04",
"content": "So if we imagine the min height of this area to be a constant 0, and Δx is still 1",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:24:31",
"content": "What would the area be",
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"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:25:09",
"content": "We can imagine a rectangle, but with height 0 instead of 1 this time",
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"id": 1039546443276497000,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:26:25",
"content": "0",
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"id": 1039546459974008800,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:26:29",
"content": "Si",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:26:50",
"content": "So that's why you get that the evaluated integral is a value between 0 and 1",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:29:04",
"content": "You said you also had another question?",
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"id": 1039547264907092000,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:29:41",
"content": "I can't guarantee I can help answer it, but I could give it a try",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:29:50",
"content": "thank you so much this explaination was very helpful btw",
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"id": 1039547458121912400,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:30:27",
"content": "what are the steps to evaluating an intergral like this",
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"id": 1039547782979141600,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:31:45",
"content": "by parts :P",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:31:49",
"content": "I don't know if there's any easier way, but it seems Integration By Parts will do the trick",
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"id": 1039547812909695100,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:31:52",
"content": "the problem is",
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"id": 1039547821877116900,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:31:54",
"content": "or maybe its even",
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"id": 1039547828403450000,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:31:56",
"content": "my calc class",
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},
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"id": 1039547840684359800,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:31:59",
"content": "it could be zero",
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{
"id": 1039547847785336800,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:32:00",
"content": "is not supposed to teach IBPS",
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},
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"id": 1039547879716569200,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:32:08",
"content": "off*",
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"id": 1039547883071995900,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:32:09",
"content": "odd",
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"id": 1039547887035629700,
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"author_name": "epiphonically",
"timestamp": "11/08/2022 09:32:10",
"content": "Imean",
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:32:10",
"content": "this is just calc 1",
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"id": 1039547916563517400,
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"author_name": "epiphonically",
"timestamp": "11/08/2022 09:32:17",
"content": "its proabbaly zero",
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"id": 1039547930832543700,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:32:20",
"content": "cuz its odd funciton",
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"id": 1039547970003144700,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:32:29",
"content": "You're right, epiphonically",
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"id": 1039548007743504400,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:32:38",
"content": "oh yeah okay so what does it mean if its an odd function i guess",
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"id": 1039548028668891100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:32:43",
"content": "how does it evaluate to 0",
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},
{
"id": 1039548142967857300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:33:11",
"content": "oh shit its the if f(-t ) = -f(t)",
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"id": 1039548167445811300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:33:16",
"content": "i learned that 50043030 years algo in hs",
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"id": 1039548172390895600,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:33:18",
"content": "wtf",
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},
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"id": 1039548230414901200,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "11/08/2022 09:33:32",
"content": "ya",
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"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:34:27",
"content": "And for integrals of odd functions going from -a to a, the integral just evaluates to 0",
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"id": 1039548496111481000,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:34:35",
"content": "Like epiphonically mentioned",
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"id": 1039549034337145000,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:36:43",
"content": "tysm!",
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{
"id": 1039549076242436100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:36:53",
"content": "also how do you go about evaluating intergrals with abs values",
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},
{
"id": 1039549154462011400,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:37:12",
"content": "for instance intergral -4 to 3 of |(x-1)(x+2)|",
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"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:37:58",
"content": "how do you remove the abs values",
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},
{
"id": 1039549976038092800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:40:28",
"content": "Normally (x-1)(x+2) would be a quadratic with roots at -2 and 1",
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"id": 1039550081944268800,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:40:53",
"content": "With the absolute values, the functions \"bounces up\" again at these points instead of passing the x-axis",
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"id": 1039550181353472000,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:41:17",
"content": "I haven't done integrals with absolute values before, but I would probably split it into 3 integrals",
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"id": 1039550328795832400,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "11/08/2022 09:41:52",
"content": "how would u split into 3 intergraks",
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{
"id": 1039551016036737000,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 09:44:36",
"content": "One that goes from -4 to -2 of (x-1)(x+2), one that goes from -2 to 1 of -(x-1)(x+2) and one that goes from 1 to 3 of (x-1)(x+2)",
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"id": 1039551486495035400,
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"author_name": "dopamine",
"timestamp": "11/08/2022 09:46:28",
"content": "you would have to expand the terms to find the intergrals right",
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"id": 1039551680427073500,
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"author_name": "Mikkel",
"timestamp": "11/08/2022 09:47:14",
"content": "That would be the easiest way, yeah",
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"timestamp": "11/08/2022 10:01:28",
"content": "@dopamine Has your question been resolved?",
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"timestamp": "11/08/2022 10:01:45",
"content": "Thank you for all of your help",
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"content": "Channel closed",
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] | help-9 | 9de0ccc4abc34b588aab68fef7d03065 |
201,458 | [
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"content": "Is this correct?",
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"content": "Pinned a message.",
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"timestamp": "11/08/2022 10:10:35",
"content": "correct",
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"content": "If you want to be pedantic about it, you might want to keep the \"-g'(x)\" outside the limit on the 4th expression, as you have already evaluated a limit to get that",
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] | help-9 | 557a5345127f4daea6d55990442cd726 |
201,459 | [
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"timestamp": "11/08/2022 10:42:00",
"content": "can someone help me graph this, i dont know where to start",
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"timestamp": "11/08/2022 10:50:22",
"content": "does anyone mind helping me real quick",
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"id": 1039571363943415800,
"author_id": 823062478178091000,
"author_name": "PINKweight",
"timestamp": "11/08/2022 11:05:27",
"content": "can someone help me grpah a parabola",
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"id": 1039571445925298300,
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"timestamp": "11/08/2022 11:05:47",
"content": "@Helpers",
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"author_id": 823062478178091000,
"author_name": "PINKweight",
"timestamp": "11/08/2022 11:11:16",
"content": "literally been asking this same questoin in this server ffor 3 days",
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"timestamp": "11/08/2022 11:11:27",
"content": "i wait for hours and hours bruh",
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"timestamp": "11/08/2022 11:26:27",
"content": "@PINKweight Has your question been resolved?",
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"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "11/08/2022 11:48:45",
"content": "yk the equation for a circle?",
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"content": "simplified x² + y² = r², where r is the radius",
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"timestamp": "11/08/2022 11:49:34",
"content": "?",
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"timestamp": "11/08/2022 11:49:40",
"content": "yes",
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"timestamp": "11/08/2022 11:49:47",
"content": "well no",
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"author_id": 823062478178091000,
"author_name": "PINKweight",
"timestamp": "11/08/2022 12:01:38",
"content": ".close",
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},
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"id": 1039585509200117800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 12:01:39",
"content": "Channel closed",
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] | help-9 | f5051326510e41b587aabb19b46bd570 |
201,460 | [
{
"id": 1039585522064031900,
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"author_name": "mreow",
"timestamp": "11/08/2022 12:01:43",
"content": "sorry i had to go for a bit",
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"content": "🙂 its fine",
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"id": 1039585615026602000,
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"author_name": "mreow",
"timestamp": "11/08/2022 12:02:05",
"content": "so you figured it out?",
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"timestamp": "11/08/2022 12:02:40",
"content": "Available help channel!",
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},
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"id": 1039586846038036600,
"author_id": 805217272087838700,
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"timestamp": "11/08/2022 12:06:58",
"content": "Pinned a message.",
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"id": 1039588274651541600,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/08/2022 12:12:39",
"content": "We are not here to give you the answers, but we can work through it.",
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"timestamp": "11/08/2022 12:13:09",
"content": "The domain of a function are all the x-values that the function spans over",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 12:13:22",
"content": "Are you able to see from the graph which interval this is?",
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"timestamp": "11/08/2022 12:15:13",
"content": "Yes, [-6, 5]!",
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"timestamp": "11/08/2022 12:16:06",
"content": "It's not really clear whenever we include -6 and 5 in these, so you can choose yourself it you want to put down (-6, 5) or [-6, 5]",
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"timestamp": "11/08/2022 12:16:15",
"content": "The square brackets include the end points",
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"timestamp": "11/08/2022 12:16:54",
"content": "The range is the 'same' as domain, but on the vertical axis instead",
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"timestamp": "11/08/2022 12:17:21",
"content": "Question 7?",
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"author_name": "Mikkel",
"timestamp": "11/08/2022 12:21:20",
"content": "I'm not really fluent in English mathematics, but I think it's just the functional value f(-3)",
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"timestamp": "11/08/2022 12:23:07",
"content": "Channel closed",
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] | help-9 | f76742c5bf2d4e229821805edcc155ea |
201,461 | [
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"content": "Available help channel!",
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"timestamp": "11/08/2022 12:24:24",
"content": "how do use the hint given to oslve this question ?",
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"content": "Pinned a message.",
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"timestamp": "11/08/2022 12:26:43",
"content": "i understand the (n+1 C k) and (n C k) are coefficients of the respective binomial expansions of (x+y)^n+1 and (x+y)^ n\nBut i do not know where to go from there",
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"id": 1039594443516420200,
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"author_name": "Toby",
"timestamp": "11/08/2022 12:37:10",
"content": "think about the coefficients of (x(x+y)^n + y(x+y)^n)",
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"timestamp": "11/08/2022 12:37:34",
"content": "try expanding a few out for small n",
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"timestamp": "11/08/2022 12:37:40",
"content": "(eg n=2, 3)",
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"timestamp": "11/08/2022 12:42:40",
"content": "@Mohammad1807 Has your question been resolved?",
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"timestamp": "11/08/2022 12:48:42",
"content": "ya i did that\nit just shows pascals triangle ?",
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"timestamp": "11/08/2022 12:49:00",
"content": "yup, thats what the question is showing",
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"timestamp": "11/08/2022 12:53:10",
"content": "i still dont get how u prove it though usin the formula 😭",
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"timestamp": "11/08/2022 12:57:41",
"content": "Channel closed",
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] | help-9 | d0218edc30744ef29e3ef638ceba4924 |
201,462 | [
{
"id": 1033401442058383400,
"author_id": 539446556538044400,
"author_name": "habukichan",
"timestamp": "10/22/2022 11:28:23",
"content": ".reopen",
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},
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"id": 1033401448295305200,
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 11:28:24",
"content": "✅",
"attachments": [],
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"id": 1033416543733817500,
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 12:28:23",
"content": "@Walter Has your question been resolved?",
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"timestamp": "10/22/2022 13:28:24",
"content": "Channel closed",
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] | help-9 | c2ddec2cfd9f4f59b396f22d58ae422a |
201,463 | [
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"timestamp": "11/08/2022 12:59:08",
"content": ".reopen",
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"timestamp": "11/08/2022 12:59:10",
"content": "✅",
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"timestamp": "11/08/2022 13:14:10",
"content": "@Mohammad1807 Has your question been resolved?",
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"timestamp": "11/08/2022 13:19:43",
"content": "which formula?",
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"timestamp": "11/08/2022 13:29:10",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 7f04c637fa2b40fdbebb826d97618e28 |
201,464 | [
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"timestamp": "11/08/2022 13:30:10",
"content": "Available help channel!",
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},
{
"id": 1039609046782705800,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 13:35:11",
"content": "amigola",
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},
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"id": 1039609048967950300,
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"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 13:35:12",
"content": "Pinned a message.",
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"timestamp": "11/08/2022 13:35:18",
"content": "Need help with 2",
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"timestamp": "11/08/2022 13:37:54",
"content": "I get answer",
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"author_name": "Finez",
"timestamp": "11/08/2022 13:38:08",
"content": "",
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"id": 1039609808837415000,
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"author_name": "deg",
"timestamp": "11/08/2022 13:38:13",
"content": "$$\\frac{-2}{4x^2+4x+1}$$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 13:38:16",
"content": "**studying lang calculus**",
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"author_name": "deg",
"timestamp": "11/08/2022 13:38:50",
"content": "No idea what you just did",
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"id": 1039609972402683900,
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"author_name": "Finez",
"timestamp": "11/08/2022 13:38:52",
"content": "Does my response make sense? Lmao",
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"id": 1039610011082571800,
"author_id": 754777667546644500,
"author_name": "Finez",
"timestamp": "11/08/2022 13:39:01",
"content": "Ok",
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"id": 1039610059858137200,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 13:39:13",
"content": "Also it's wronpg",
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"id": 1039610332051673200,
"author_id": 754777667546644500,
"author_name": "Finez",
"timestamp": "11/08/2022 13:40:18",
"content": "ur right I am wrong, my b",
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{
"id": 1039610393087189100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "11/08/2022 13:40:32",
"content": "you are wrong because you didn't use chain rule.",
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{
"id": 1039610497038831600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "11/08/2022 13:40:57",
"content": "Like there's d/dx(2x+1) as well",
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"id": 1039610575967236200,
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"author_name": "deg",
"timestamp": "11/08/2022 13:41:16",
"content": "I have not gotten to chain rule chapter I'm doing without it",
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"id": 1039610638034534400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "11/08/2022 13:41:31",
"content": "yes, I was talking to finez.",
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"id": 1039611217502814200,
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"author_name": "deg",
"timestamp": "11/08/2022 13:43:49",
"content": "Okay it turns out 4x^2+4x+1 = (2x+1)^2",
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"id": 1039611332250574800,
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"author_name": "deg",
"timestamp": "11/08/2022 13:44:16",
"content": "I was right but I didn't know I'm supposed to factor it",
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{
"id": 1039611475280527500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 13:44:50",
"content": "Is it just pattern recognition or is there some steps that allows me to keep it 2x+1?",
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{
"id": 1039612351701328000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "11/08/2022 13:48:19",
"content": "You should check product rule, or quotient rule. And then chain rule.",
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"id": 1039612397381492900,
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"author_name": "Yours truly",
"timestamp": "11/08/2022 13:48:30",
"content": "Those pretty much answer your question well.",
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"id": 1039612441643995300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "11/08/2022 13:48:41",
"content": "But long story short, you CAN keep the 2x+1 with you, definitely.",
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"timestamp": "11/08/2022 13:49:57",
"content": "No idea what these are",
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"timestamp": "11/08/2022 13:50:09",
"content": "They appear in later cchapter Ig uess",
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"author_id": 965676813055582200,
"author_name": "hyno",
"timestamp": "11/08/2022 13:53:19",
"content": "how can i be smart like you guys",
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"id": 1039613675662737500,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 13:53:35",
"content": "For the second one its in the form U/V =(U')(V) -(V')(U)/V^2",
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"timestamp": "11/08/2022 13:54:08",
"content": "This is the quotient rule",
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"author_name": "deg",
"timestamp": "11/08/2022 13:54:35",
"content": "im not there yetr",
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"timestamp": "11/08/2022 13:54:42",
"content": "can we pls keep it just algebraic",
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"author_name": "deg",
"timestamp": "11/08/2022 13:54:56",
"content": "the tedious way",
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"author_name": "deg",
"timestamp": "11/08/2022 13:55:15",
"content": "$$\\frac{x}{x+1}$$",
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},
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/08/2022 13:55:19",
"content": "**studying lang calculus**",
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"timestamp": "11/08/2022 13:55:24",
"content": "Which chapter is this?",
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"id": 1039614142086127700,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 13:55:26",
"content": "derivative of this",
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"author_name": "deg",
"timestamp": "11/08/2022 13:55:34",
"content": "3",
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"id": 1039614348806598700,
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"author_name": "deg",
"timestamp": "11/08/2022 13:56:15",
"content": "$$\\frac{df}{dx} = \\frac{x+h-x}{x+h+1-x-1} = \\frac{h}{h} ???$$",
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"id": 1039615246194725000,
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"author_name": "deg",
"timestamp": "11/08/2022 13:59:49",
"content": "I guess no new line?",
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"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:00:09",
"content": "",
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"id": 1039615376192979000,
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"timestamp": "11/08/2022 14:00:20",
"content": "**studying lang calculus**",
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"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:03:33",
"content": "You have to find the derivative of this without using the quotient rule also?",
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"id": 1039616257638547600,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:03:50",
"content": "yes",
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{
"id": 1039616366535266400,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:04:16",
"content": "I can use newton quotient",
"attachments": [],
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},
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"id": 1039616385027940500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:04:21",
"content": "which is what Idid here",
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},
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"id": 1039617296307605600,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:07:58",
"content": "I think you should simplify it and compute the limit for h --> 0",
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},
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"id": 1039617320659714200,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:08:04",
"content": "This is the definition",
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},
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"id": 1039617517322256400,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:08:51",
"content": "The answer should be 1/(x+1)^2",
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},
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"id": 1039617598540742700,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:09:10",
"content": "How doi you simplify x/x+1?",
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},
{
"id": 1039618769267470300,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:13:49",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1039619046167023700,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:14:55",
"content": "Wait I'll send you the answer",
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},
{
"id": 1039619103817744500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:15:09",
"content": "I don't want the answer",
"attachments": [],
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},
{
"id": 1039619139087630500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:15:17",
"content": "I am wondering wtf is going on",
"attachments": [],
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},
{
"id": 1039619156519166100,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:15:22",
"content": "I'll send you the steps",
"attachments": [],
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},
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"id": 1039619167088824400,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:15:24",
"content": "",
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"id": 1039619223888085100,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:15:38",
"content": "without quotient, chain rule or whatever sure",
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"author_name": "naok",
"timestamp": "11/08/2022 14:16:54",
"content": "",
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"id": 1039619696342859900,
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"author_name": "naok",
"timestamp": "11/08/2022 14:17:30",
"content": "I mean i don't know what they are teaching you but this is the way i use",
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"id": 1039622999692816400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 14:30:38",
"content": "@deg Has your question been resolved?",
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"id": 1039625061520388200,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:38:49",
"content": "I see",
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"id": 1039625068638126100,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:38:51",
"content": "My mistake was",
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},
{
"id": 1039625118793609300,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:39:03",
"content": "I didn't use the /h at the bottom",
"attachments": [],
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},
{
"id": 1039625160443039900,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:39:13",
"content": "and Ididn't separate f(x+h) and f(x)",
"attachments": [],
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},
{
"id": 1039625199097761800,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:39:22",
"content": "took them under same numerator",
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},
{
"id": 1039625201803067500,
"author_id": 983369616841642000,
"author_name": "deg",
"timestamp": "11/08/2022 14:39:23",
"content": "lol",
"attachments": [],
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},
{
"id": 1039626784024580100,
"author_id": 756978301201023000,
"author_name": "naok",
"timestamp": "11/08/2022 14:45:40",
"content": "Ok you can use this method to solve any one",
"attachments": [],
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},
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"id": 1039632752678551600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 15:09:23",
"content": "@deg Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2022 15:39:24",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | e251f3f7279347f393e39f5768fb500a |
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