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"id": 956568425562517600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 11:01:24",
"content": "Available help channel!",
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"id": 956571354122043500,
"author_id": 328976825642647550,
"author_name": "Ruler",
"timestamp": "03/24/2022 11:13:03",
"content": "Hello, I’ve been busy finding the variable Kd for this equation but have a hard time with the arctan and such. I was wondering if someone can help me out on how to find the value of Kd",
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"timestamp": "03/24/2022 11:13:03",
"content": "Pinned a message.",
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"timestamp": "03/24/2022 11:28:03",
"content": "@Ruler Has your question been resolved?",
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"timestamp": "03/24/2022 12:00:14",
"content": "@Ruler Has your question been resolved?",
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help-9
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199,766 |
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"id": 972535476651196500,
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"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 12:28:46",
"content": "Available help channel!",
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"id": 972536799140401300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 12:34:01",
"content": "Just double checking, which is *always* considered first in this situation?",
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"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:34:51",
"content": "r u tryna expand",
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"id": 972537117198647400,
"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:35:17",
"content": "expand (x-2)²",
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{
"id": 972537136500846600,
"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:35:22",
"content": "first",
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"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:35:32",
"content": "and multiply 4",
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"id": 972537301194391700,
"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:36:01",
"content": "no",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:36:08",
"content": "Brackets first but I’m wondering how to apply that",
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"id": 972537646138159100,
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"timestamp": "05/07/2022 12:37:23",
"content": "I feel like there are many ways to interpret brackets first",
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"timestamp": "05/07/2022 12:37:28",
"content": "Each with very different results",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:38:19",
"content": "Just as an example, but it could be -1 or 8937",
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"id": 972537948652310500,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:38:35",
"content": "Oh",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:38:51",
"content": "So you *always do what’s inside the brackets first",
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"id": 972538026980937900,
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"timestamp": "05/07/2022 12:38:54",
"content": "No matter what",
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"id": 972538115833081900,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:39:15",
"content": "You don’t use foil? (1-2)(1-2)",
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"timestamp": "05/07/2022 12:40:32",
"content": "https://tenor.com/view/annoyed-fuck-frustrated-gif-15331740",
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"id": 972538648035745800,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:41:22",
"content": "Give me a min to think this over",
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"id": 972539132473667600,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:43:18",
"content": "If I don’t know what x is, is this allowed?",
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"id": 972539323327053800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 12:44:03",
"content": "Because of the ² it’s not allowed?",
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"id": 972539365794398200,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:44:13",
"content": "Normally I would use distributive property",
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"id": 972539378859647000,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:44:16",
"content": "Hmmm OK",
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"id": 972539657185275900,
"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:45:23",
"content": "it would rather be (2x-4)²",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:45:40",
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"id": 972539751938793500,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:45:45",
"content": "How about this?",
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"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:45:51",
"content": "nah",
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"id": 972539795983192000,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:45:56",
"content": "Damn",
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{
"id": 972539851578687600,
"author_id": 972119421533425700,
"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:46:09",
"content": "just expand it then check",
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"id": 972539919836799000,
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"author_name": "Quanlingling Dingleton",
"timestamp": "05/07/2022 12:46:25",
"content": "its more confusing if u dont expand",
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{
"id": 972540208966950900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 12:47:34",
"content": "Wait",
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{
"id": 972540272191864800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 12:47:49",
"content": "I got same answer both ways",
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"id": 972540457382969300,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:48:33",
"content": "(8x)²",
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{
"id": 972540591143551100,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:49:05",
"content": "I think missing the point",
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"id": 972541007835054100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 12:50:45",
"content": "4(2x)² is not the same as (8x)² ?",
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"id": 972541073014554600,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:51:00",
"content": "Because you can’t combine unlike terms?",
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"id": 972542513166557200,
"author_id": 565315192939085800,
"author_name": "zizi",
"timestamp": "05/07/2022 12:56:44",
"content": "u could only do that if 4 was being squared",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:56:58",
"content": "",
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"id": 972542601079181300,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:57:05",
"content": "I think I understand after writing it out. Is that correct?",
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"id": 972542650412593200,
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"author_name": "zizi",
"timestamp": "05/07/2022 12:57:16",
"content": "no",
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"id": 972542693559382000,
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"author_name": "zizi",
"timestamp": "05/07/2022 12:57:27",
"content": "4(2x)(2x) would become 16x^2",
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"id": 972542793924903000,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:57:51",
"content": "Hmmm",
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"id": 972542832881590400,
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"author_name": "zizi",
"timestamp": "05/07/2022 12:58:00",
"content": "(2x)(2x)+(2x)(2x)+(2x)(2x)+(2x)(2x) is correct tho",
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"id": 972542921058439200,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:58:21",
"content": "Not plus, multiply",
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"id": 972542921129738400,
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"author_name": "zizi",
"timestamp": "05/07/2022 12:58:21",
"content": "because there are 4 (2x)(2x)'s being added together",
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"timestamp": "05/07/2022 12:58:27",
"content": "it is plus",
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"id": 972542962951155800,
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"timestamp": "05/07/2022 12:58:31",
"content": "Hmmm",
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"id": 972542996044202000,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 12:58:39",
"content": "But with brackets it’s actually multiply?",
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"author_name": "zizi",
"timestamp": "05/07/2022 12:58:51",
"content": "for example if u do 4 times 6, you are adding 4 6s or 6 4s",
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"timestamp": "05/07/2022 12:59:50",
"content": "4((2x)(2x)) = 4(2x)(2x) = 4 * 2x * 2x = 4 * 2 * 2 * x * x = 16x^2",
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"id": 972543528704020600,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:00:46",
"content": "https://tenor.com/view/keenan-thompson-confused-face-umm-what-gif-13330886",
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"id": 972543936570736600,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:02:23",
"content": "Ah OK, they are terms like 🍎 and orange 🍊 have to be exact same",
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"id": 972544083442688100,
"author_id": 749814402722693200,
"author_name": "gonebanana",
"timestamp": "05/07/2022 13:02:58",
"content": "dude uh you have got your fundamentals wrong",
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"id": 972544223897333800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:03:31",
"content": "Oops I mean if it uses a radical or exponent",
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"id": 972544435617402900,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:04:22",
"content": "4x² is 🍎 and cannot be added to 4x 🍊",
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{
"id": 972544611576856600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:05:04",
"content": "So even tho both are x, they are completely different terms",
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"id": 972545911987265500,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:10:14",
"content": "No it’s actually really helpful thanks",
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"id": 972546081168699400,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:10:54",
"content": "Especially 4+4² = 20",
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{
"id": 972546221354913900,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:11:28",
"content": "If I may, bringing it back to original question",
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"content": "Would it be 4(x² -2²)?",
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"timestamp": "05/07/2022 13:12:30",
"content": "But I applied exponent first",
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"content": "Distributed",
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"id": 972546579372339200,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:12:53",
"content": "Oh right",
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"id": 972546617091694600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:13:02",
"content": "But I thought we allowed to distribute into brackets",
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"id": 972546829235404900,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:13:53",
"content": "Like 4(3+3) is the same thing as 4(6) is the same thing as 4(3) + 4(3)",
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"id": 972546901587140600,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:14:10",
"content": "That does not work for exponents?",
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"id": 972547030062878700,
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"timestamp": "05/07/2022 13:14:41",
"content": "Weird… I swear I have seen exponent distribution somewhere",
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"timestamp": "05/07/2022 13:15:26",
"content": "Oh right, this formula..",
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"timestamp": "05/07/2022 13:15:59",
"content": "Kinda, it’s a shortcut for foil right?",
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"timestamp": "05/07/2022 13:16:10",
"content": "This can also be written as foil?",
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"timestamp": "05/07/2022 13:16:30",
"content": "(2+2)(2+2)",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:16:37",
"content": "First outside inside last",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:16:51",
"content": "Just wondering if it’s same thing different formula",
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"id": 972547687092207600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:17:17",
"content": "I learned foil first and it’s hard to drop",
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"id": 972547762426110000,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:17:35",
"content": "Algebra 1 lol",
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"id": 972547797779873800,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:17:44",
"content": "Last unit now",
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"id": 972547963341639700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:18:23",
"content": "But I’m prepping for this https://www.ontariovirtualschool.ca/courses/mhf4u/",
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"id": 972548140525830300,
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"timestamp": "05/07/2022 13:19:05",
"content": "OK",
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},
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"id": 972548311301099500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:19:46",
"content": "foil is the sin of math",
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"id": 972548447712473200,
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:20:19",
"content": "people immediately start to lose understanding in math when they rely on formulas like this instead of just distributing",
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:21:08",
"content": "(a + b)(a + b) = a(a+b) + b(a+b) = a(a) + a(b) + b(a) + b(b) = a^2 + 2ab + b^2",
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:21:23",
"content": "What if it’s trinomial?",
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"id": 972548748431470600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:21:30",
"content": "Same formula?",
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"id": 972548760141971600,
"author_id": 565315192939085800,
"author_name": "zizi",
"timestamp": "05/07/2022 13:21:33",
"content": "then you distribute each of the terms",
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"id": 972548845806428300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:21:53",
"content": "Yeah",
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},
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"id": 972548853821755500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:21:55",
"content": "exactly. trinomials are obvious for distributing. not when u rely on foil",
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"id": 972548913406042100,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:22:10",
"content": "You can do foil with trinomial but it takes longer",
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"id": 972549110362177500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:22:56",
"content": "a(a + b + c) + b(a + b + c) + c(a + b + c) = a(a) + a(b) + a(c) + b(a) + b(b) + b(c) + c(a) + c(b) + c(c) = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc",
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"id": 972549367384932400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/07/2022 13:23:58",
"content": "Looks like foiling lol",
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},
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"id": 972549455725346800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:24:19",
"content": "foiling is a crime",
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},
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"id": 972549477900619800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:24:24",
"content": "distributing",
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},
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"id": 972549547962273800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "05/07/2022 13:24:41",
"content": "But you won’t go to jail for it or break any laws",
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"id": 972549617839390700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:24:57",
"content": "yes remember this six-term expression instead of 1 rule",
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"id": 972549744033423400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:25:28",
"content": "breaking math laws tbh",
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"id": 972550059726098400,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:26:43",
"content": "It gets the same answer",
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"id": 972551223779655700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:31:20",
"content": "yes foil is more complicated",
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"id": 972551412921811000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:32:05",
"content": "you should only rely on a formula if you know its proof",
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"timestamp": "05/07/2022 13:33:24",
"content": "",
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"id": 972551773011198000,
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"timestamp": "05/07/2022 13:33:31",
"content": "Did I do either of these correctly?",
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"id": 972551944575004800,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:34:12",
"content": "Which one?",
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"id": 972552078692061200,
"author_id": 565315192939085800,
"author_name": "zizi",
"timestamp": "05/07/2022 13:34:44",
"content": "the one on the right",
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{
"id": 972552086485106800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:34:46",
"content": "use distributive property for right side",
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"id": 972552092818477200,
"author_id": 565315192939085800,
"author_name": "zizi",
"timestamp": "05/07/2022 13:34:48",
"content": "ur foil is correct",
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{
"id": 972552233369632900,
"author_id": 565315192939085800,
"author_name": "zizi",
"timestamp": "05/07/2022 13:35:21",
"content": "when trying to simplify (a+b)^2, write it out as (a+b)(a+b) so that you can distribute the terms/foil",
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"id": 972552303116689500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:35:38",
"content": "4x(x-2) - 8(x-2)",
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"id": 972552455009206400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:36:14",
"content": "4x(x) - 8x - 8x + 16",
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"id": 972552485531181200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 13:36:21",
"content": "4x^2 - 16x + 16",
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},
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"id": 972553348739899400,
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"author_name": "avidrunner",
"timestamp": "05/07/2022 13:39:47",
"content": "",
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"id": 972553349759127600,
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"timestamp": "05/07/2022 13:39:47",
"content": "Got it",
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"id": 972553362941833200,
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"timestamp": "05/07/2022 13:39:50",
"content": "Thanks folks",
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"id": 972553404566097900,
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"timestamp": "05/07/2022 13:40:00",
"content": "https://tenor.com/view/another-one-dj-khaled-khaled-another-you-da-best-gif-16232853",
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"id": 972553509285281900,
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"timestamp": "05/07/2022 13:40:25",
"content": ".close",
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},
{
"id": 972553510770073600,
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"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 13:40:26",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
44803485de294ae58070babdfb35fbb0
|
199,767 |
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] |
help-9
|
c1987622f72c4a0f864cfd12ab51e4cf
|
199,768 |
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"id": 972559504090734600,
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] |
help-9
|
9ffacc1dcaaf4fc9ae2e8aed634602f7
|
199,769 |
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"id": 972567368461062100,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "05/07/2022 14:35:30",
"content": "Try to introduce a coordinate system",
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"id": 972567407392591900,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "05/07/2022 14:35:39",
"content": "whats that",
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"id": 972567435330854900,
"author_id": 392341051794391040,
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"timestamp": "05/07/2022 14:35:46",
"content": "Like let O = (0,0)",
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"id": 972567493916885000,
"author_id": 392341051794391040,
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"timestamp": "05/07/2022 14:35:59",
"content": "and then write the given info relative to that",
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"id": 972567545204867100,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "05/07/2022 14:36:12",
"content": "i think theres a simpler way",
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"id": 972567567342399500,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "05/07/2022 14:36:17",
"content": "sure",
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"id": 972567745759674500,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "05/07/2022 14:37:00",
"content": "do you know any simpler ways",
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"id": 972569921416466400,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "05/07/2022 14:45:38",
"content": ".close",
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},
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"id": 972569922922246100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 14:45:39",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
cff3e1773be54669b88dc16127701bcb
|
199,770 |
[
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"id": 972570176560181200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 14:46:39",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 972571170094342300,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:50:36",
"content": "Two questions - how can we determine the Ker(u) and the Im(u), and then the basis of the two (thus the dimension)?",
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"timestamp": "05/07/2022 14:50:36",
"content": "Pinned a message.",
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"id": 972571434092208100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:51:39",
"content": "Do you know the rank nullity theorem",
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"id": 972571436663337000,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:51:40",
"content": "I have the solutions that 1 is true and 4 is true",
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"id": 972571502975275000,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:51:55",
"content": "Yes, the dim(vector space) = dim(ker) + dim(im) right?",
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},
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"id": 972571596852179000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:52:18",
"content": "Right so you only need to know image dimension to deduce kernel dimension",
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},
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"id": 972571609200197600,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:52:21",
"content": "and dim(r^4) = 4 since there are 4 vectors in it's basis (the standard basis) 1,0,0,0 0,1,0,0 0,0,1,0 0,0,0,1",
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"id": 972571682889937000,
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"author_name": "rk0660",
"timestamp": "05/07/2022 14:52:38",
"content": "how do I get that though",
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"id": 972571720856793200,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:52:47",
"content": "I'm unclear on what the image actually is",
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},
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"id": 972571742591664100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:52:52",
"content": "Just R",
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},
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"id": 972571775751848000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:53:00",
"content": "You can reach the whole of R",
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},
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"id": 972571844341293000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:53:17",
"content": "Just take (a,0,0,0) for any a in R",
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"id": 972571974758973400,
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"timestamp": "05/07/2022 14:53:48",
"content": "So does the image of a map from a larger dimension to a smaller dimension always equal the smaller dimension",
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"id": 972572002571419600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:53:54",
"content": "Not always",
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},
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"id": 972572017217896600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/07/2022 14:53:58",
"content": "In this case yes",
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"id": 972572143160287200,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:54:28",
"content": "Oh because",
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},
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"id": 972572245908160500,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:54:52",
"content": "the image of a linear map is the span of the transformation of the basis right",
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},
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"id": 972572466457215100,
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"author_name": "rk0660",
"timestamp": "05/07/2022 14:55:45",
"content": "so I have Im(f) = span{T(basis)} = span{T(e1}, T{e2}, T{e3}, T{r4})?",
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"id": 972572702432964700,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:56:41",
"content": "and T(e1) = T(1,0,0,0) = {1}, and they are all one",
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},
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"id": 972572744384401400,
"author_id": 490506440214315000,
"author_name": "rk0660",
"timestamp": "05/07/2022 14:56:51",
"content": "so span{1,1,1,1} can just be read as span{1}",
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"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 15:11:52",
"content": "@rk0660 Has your question been resolved?",
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"id": 972579715208585200,
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"author_name": "iCaird",
"timestamp": "05/07/2022 15:24:33",
"content": "Yeah sure that's one way to look at it",
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"timestamp": "05/07/2022 15:50:39",
"content": "@rk0660 Has your question been resolved?",
"attachments": [],
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"timestamp": "05/07/2022 16:20:39",
"content": "Channel closed",
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}
] |
help-9
|
ec3a6cec78cc4bb384ef91da5316bf5d
|
199,771 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 16:21:39",
"content": "Available help channel!",
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},
{
"id": 972600384478662800,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:46:41",
"content": "",
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"timestamp": "05/07/2022 16:46:42",
"content": "Pinned a message.",
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"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:46:48",
"content": "where did that -2 come from?",
"attachments": [],
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},
{
"id": 972600822212988900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/07/2022 16:48:26",
"content": "$x = 2 \\pm \\sqrt{3} \\Ra x - 2 = \\pm \\sqrt{3}$",
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},
{
"id": 972600832711331800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/07/2022 16:48:28",
"content": "**riemann**",
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"id": 972600861480058900,
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"timestamp": "05/07/2022 16:48:35",
"content": "do you get ^",
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"author_name": "tacku",
"timestamp": "05/07/2022 16:49:41",
"content": "i dont get why you can move 2 like that",
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},
{
"id": 972601160961753100,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:49:46",
"content": "isn't that multiply",
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},
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"id": 972601259548876900,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:50:10",
"content": "2*sqrt3",
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},
{
"id": 972601302003634200,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:50:20",
"content": "it should be 1/2=sqrt3?",
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},
{
"id": 972601490046857200,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:51:05",
"content": "ummm ok?",
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},
{
"id": 972602044408008800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/07/2022 16:53:17",
"content": "$a \\pm b$ means both $a + b$ and $a-b$",
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},
{
"id": 972602053878771700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/07/2022 16:53:19",
"content": "**riemann**",
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"id": 972602104256553000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/07/2022 16:53:31",
"content": "$3 \\pm 2$ represents both 5 and 1",
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},
{
"id": 972602113765019600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/07/2022 16:53:33",
"content": "**riemann**",
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"id": 972602144106643500,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:53:41",
"content": "ohhhh",
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},
{
"id": 972602161374560300,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:53:45",
"content": "then",
"attachments": [],
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"reference": null
},
{
"id": 972602198712266900,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:53:54",
"content": "how should i write",
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},
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"id": 972602468909334500,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 16:54:58",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 17:10:41",
"content": "@tacku Has your question been resolved?",
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"id": 972609109176242300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/07/2022 17:21:21",
"content": "**tacku**",
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"author_name": "tacku",
"timestamp": "05/07/2022 17:49:14",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 972616143669964800,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "05/07/2022 17:49:18",
"content": "do i write $( x + 2 + \\sqrt{3} ) ( x - 2 - \\sqrt{3} )$ to represent $\\pm\\ 2 \\sqrt{3}$ equals the 2 roots of x in this qeustion?",
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"id": 972616154646466600,
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"timestamp": "05/07/2022 17:49:21",
"content": "**tacku**",
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"timestamp": "05/07/2022 18:19:19",
"content": "@tacku Has your question been resolved?",
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"timestamp": "05/07/2022 18:19:47",
"content": "Channel closed",
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}
] |
help-9
|
a2f5eb4988ea487ba4ecf6f05419e490
|
199,772 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 18:20:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 972627327617994800,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:33:45",
"content": "Okay, so, I have a mathematical problem I need to solve. \n\nI have three sliders on a machine I can put at different %, all of them must combine to make 100%\n\nI have an input of 100 unit, and the output is decided based on the percentage set.\n\nExample :\n\nHeavy 100\nLight 0\nOther 0\n\nWould transform the 100 into 43.33\n\nHeavy 0\nLight 100\nOther 0\n\nWould transform the 100 into 64\n\nHeavy 0\nLight 0\nOther 100\n\nWould transform 100 into 59.34\n\nI was able to figure out by trial and error to get to :\n\nHeavy 16\nLight 46\nOther 38\n\nWould transform 100 into 99.33\n\nNow, I need to find a formula that makes it simpler to figure out beside just blatantly try.",
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},
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"id": 972627329870360600,
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"timestamp": "05/07/2022 18:33:45",
"content": "Pinned a message.",
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"id": 972627563493097500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:34:41",
"content": "I figured doing the first 3 set would give me a baseline which I could then use to figure out the formula",
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},
{
"id": 972628702582177800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:39:13",
"content": "Wtf is this supposed to mean lmao",
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},
{
"id": 972628742432235500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:39:22",
"content": "Trying to explain ahahahah",
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},
{
"id": 972629396051619800,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:41:58",
"content": "I am blending together 3 different type of fluid. Based on the % of each fluid I choose, the purity will change after blending.\n\nSo, I use 16% Heavy fluid, 46% Light fluid, 38% Other fluid (Which combined MUST give 100%). It gives me 99.33% purity.",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:42:34",
"content": "",
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"timestamp": "05/07/2022 18:42:42",
"content": "You cant solve this",
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"timestamp": "05/07/2022 18:42:48",
"content": "Without volumes",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:44:04",
"content": "All of my tests assume a quantity of 100 gallons transformed into the number of gallon purified",
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"timestamp": "05/07/2022 18:44:27",
"content": "Ok so the total final volume is 100 gallons",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:44:51",
"content": "If the % is 99.33% purity, it will give 99.33 Gallons",
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"timestamp": "05/07/2022 18:45:03",
"content": "And what are the purities of the different fluids",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:45:17",
"content": "I can choose the purity %",
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"id": 972630252620759000,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:45:22",
"content": "That is what I am trying to determine",
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"timestamp": "05/07/2022 18:45:48",
"content": "It doesnt seem like you have enough info to solve then",
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"id": 972630397571727500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:45:57",
"content": "What am I missing",
"attachments": [],
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"id": 972630428525666300,
"author_id": 551269104800104450,
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"timestamp": "05/07/2022 18:46:04",
"content": "This",
"attachments": [],
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"id": 972630478794391700,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:46:16",
"content": "But, I can select the purities",
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"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:46:36",
"content": "IE : I can set the sliders at 20-20-60",
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"id": 972630589314306000,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:46:43",
"content": "Or 100-0-0",
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"id": 972630627688022000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:46:52",
"content": "Ok",
"attachments": [],
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"id": 972630647237656600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:46:56",
"content": "So these aren't variables",
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"id": 972630660252573700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:47:00",
"content": "But parameters",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:47:07",
"content": "Ok",
"attachments": [],
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:47:10",
"content": "Yeah",
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"id": 972630749536735200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:47:21",
"content": "And what is to be solved for?",
"attachments": [],
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"id": 972630803907489800,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:47:34",
"content": "What do you mean?",
"attachments": [],
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"id": 972630858638983200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:47:47",
"content": "What quantity is being solved for",
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"id": 972631095529062500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:48:43",
"content": "100 Gallons per attempts",
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"id": 972631291948318700,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:49:30",
"content": "We can go in voice chat if you would prefer 😛",
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"author_name": "EndTimes",
"timestamp": "05/07/2022 18:50:04",
"content": "Ok I see. You're solving for the purity of the final solution",
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"timestamp": "05/07/2022 18:50:10",
"content": "Yes",
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"author_name": "EndTimes",
"timestamp": "05/07/2022 18:50:11",
"content": "In which case this is really simple",
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"author_name": "EndTimes",
"timestamp": "05/07/2022 18:50:38",
"content": "As long as you know how much of each fluid is to be added",
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"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:50:52",
"content": "I am combining 3 different volume of fluid to create a final 4th type of fluid",
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"id": 972631809810657300,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:51:34",
"content": "The 3 first volume of fluid must always be 100 gallons total",
"attachments": [],
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"id": 972631950244327400,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:52:07",
"content": "And the volume of the 4th type of fluid is the purity of these 3 first",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:53:05",
"content": "(Purity of Heavy Fluid)(Volume of Heavy fluid)\n+\n(Purity of Light Fluid)(Volume of Light fluid)\n+ \n(Purity of Other Fluid)(Volume of Other fluid)\n=\n(Purity of Solution)(Volume of Solution)",
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"id": 972632502789357600,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:54:19",
"content": "Nah",
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"id": 972632831434039400,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:55:37",
"content": "Not exactly",
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"id": 972633116474736600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:56:45",
"content": "Wdym",
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"id": 972633137416900700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:56:50",
"content": "This is the mixing equation",
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"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:57:24",
"content": "Volume of Heavy fluid\n+\nVolume of Light fluid\n+\nVolume of Other fluid\n=\nVolume of 4th fluid",
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"id": 972633315288956900,
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"author_name": "EndTimes",
"timestamp": "05/07/2022 18:57:33",
"content": "Yep",
"attachments": [],
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"id": 972633337653002200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:57:38",
"content": "So now we have 3 variables",
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"author_name": "EndTimes",
"timestamp": "05/07/2022 18:57:42",
"content": "And 2 equations",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:57:42",
"content": "Correct",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 18:58:04",
"content": "So this means there is no unique solution",
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"id": 972633513608224800,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 18:58:20",
"content": "No, but",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:58:25",
"content": "You can do baseline tests",
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"timestamp": "05/07/2022 18:59:01",
"content": "IE :\n100+0+0 = 78",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:59:23",
"content": "0+100+0 = 38.67",
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"id": 972633838767440000,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 18:59:37",
"content": "0+0+100 = 50",
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"id": 972633978370662400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:00:11",
"content": "Let's not abuse math notation like that",
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"id": 972633997475741700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:00:15",
"content": "Try writing that in words",
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"id": 972634033102139400,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:00:24",
"content": "Ok",
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"id": 972634654337302500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:02:52",
"content": "Sorry, the console interface is badly worded",
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"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:03:38",
"content": "So, I can do baseline tests by choosing to use 100% of the first fluid, 0% of the second fluid and 0% of the third fluid to make my 100 gallons.",
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"id": 972634999041962000,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:04:14",
"content": "Which, when tested on this week equation gave 78 gallons of gasoline (4th fluid)",
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:05:01",
"content": "Then I did a combination of 0% of the first fluid, 100% of the second fluid and 0% of the third fluid, which gave me 38.67 gallons of gasoline",
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"id": 972635304135622800,
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"author_name": "EndTimes",
"timestamp": "05/07/2022 19:05:27",
"content": "so that means the purity of the first fluid is 78%",
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"id": 972635558776029200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:06:27",
"content": "and that you have 100 gallons of each fluid available to use",
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"id": 972635893326315500,
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"author_name": "EndTimes",
"timestamp": "05/07/2022 19:07:47",
"content": "find the purity of the third fluid now",
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{
"id": 972637630976123000,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:14:41",
"content": "Then I did a combination of 0% of the first fluid, 0% of the second fluid and 100% of the third fluid, which gave me 50 gallons of gasoline",
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"id": 972637808122540000,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:15:24",
"content": "I don't have a limit on the gallons of each fluid available",
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"timestamp": "05/07/2022 19:16:21",
"content": "78 A + 38.67 B + 50 C = 100 d",
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"timestamp": "05/07/2022 19:16:35",
"content": "A+B+C = 100",
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"id": 972638153171161100,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:16:46",
"content": "A+B+C = 166.67",
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"id": 972638322168049800,
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"timestamp": "05/07/2022 19:17:26",
"content": "nope",
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"id": 972638348176932900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:17:32",
"content": "the uppercase letters are the volumes",
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"id": 972638392686878700,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:17:43",
"content": "Okay, so",
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"id": 972638452250181600,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:17:57",
"content": "I think you do not understand what I mean",
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"id": 972638456591286300,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:17:58",
"content": "At all",
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},
{
"id": 972638688087519400,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:18:53",
"content": "I have a machine where I input 100 gallons.\n\nI choose 3 numbers from 0-100%\n\nAnd the 100 gallon gets transformed into another quantity of gallons.\n\nThese 3 numbers MUST ALWAYS combine to make 100%",
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"id": 972639050991296500,
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"timestamp": "05/07/2022 19:20:20",
"content": "wdym by transformed",
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"id": 972639060793376800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:20:22",
"content": "that makes no sense",
"attachments": [],
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},
{
"id": 972639171183255600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:20:49",
"content": "is the final volume of the solution not 100 gallons?",
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"id": 972639465203966100,
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"author_name": "Nemesis",
"timestamp": "05/07/2022 19:21:59",
"content": "Not at all",
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"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:22:09",
"content": "Okay, i'l dumb it down even further, gimme 1sec",
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"id": 972640397698428900,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:25:41",
"content": "I must find 3 different values from 0 to 100 which combined makes 100.\n\nWhen these values are set/used, a number from 0 to 100 occur depending on how close to the solution you are.",
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{
"id": 972641512368246800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:30:07",
"content": "so where does all that shit about combining fluids come in",
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{
"id": 972641586963943600,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:30:25",
"content": "I just dumbed it down and removed the fluid section",
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"id": 972641620728090600,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:30:33",
"content": "Since it doesnt help with the problem at hand",
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"id": 972641645495476400,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:30:39",
"content": "Superfluous information",
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},
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"id": 972641696926015500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:30:51",
"content": "this problem as stated has no solution",
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},
{
"id": 972641742924959700,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:31:02",
"content": "It is impossible to not have a solution for this",
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},
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"id": 972641818091077800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:31:20",
"content": "3 variables, one equation",
"attachments": [],
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},
{
"id": 972641983250178200,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:31:59",
"content": "I do not understand what you mean...",
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},
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"id": 972642079694012400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:32:22",
"content": "so the only equation that you have is three numbers, x,y,z, whose sum is 100",
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},
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"id": 972642093463900200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:32:25",
"content": "x+y+z = 100",
"attachments": [],
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},
{
"id": 972642140746285200,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:32:37",
"content": "Yes",
"attachments": [],
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},
{
"id": 972642244093956100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/07/2022 19:33:01",
"content": "if you have 3 variables, then you need 3 equations to uniquely determine each of those variables",
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},
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"id": 972642588425322500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:34:23",
"content": "I think I understand what you mean",
"attachments": [],
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},
{
"id": 972642936368021500,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:35:46",
"content": "I'l try to figure a way",
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},
{
"id": 972642943322185900,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:35:48",
"content": "One sec",
"attachments": [],
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},
{
"id": 972644571001528300,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:42:16",
"content": "I don't know how to word it",
"attachments": [],
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},
{
"id": 972644652547182600,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:42:36",
"content": "Because I know where my problem lies",
"attachments": [],
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},
{
"id": 972644668368121900,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:42:39",
"content": "But I can't express it",
"attachments": [],
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},
{
"id": 972646146587639800,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:48:32",
"content": "I'l try to reformulate my question and ask someone else maybe. Sorry about the bother.",
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},
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"id": 972646156813357000,
"author_id": 181565981741678600,
"author_name": "Nemesis",
"timestamp": "05/07/2022 19:48:34",
"content": ".close",
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},
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"id": 972646158587543600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 19:48:35",
"content": "Channel closed",
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}
] |
help-9
|
402aadde5b914cd9a1a3ac7c0a77dc81
|
199,773 |
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"timestamp": "05/07/2022 20:19:19",
"content": "Available help channel!",
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"id": 972654681996292100,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/07/2022 20:22:27",
"content": "Hi!",
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"content": "Pinned a message.",
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"id": 972655023257419800,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/07/2022 20:23:48",
"content": "I'm having trouble with this question, partially because i don't really know if all the values of the random variable X are already 'used' in $G_X$. (Is that called surjective?)",
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"id": 972655487273287700,
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"timestamp": "05/07/2022 20:25:39",
"content": "so my question is, does $\\mathbb{P}(kX = x_0) = 0 $ hold whenever $k \\nmid x_0$ ?\n(Given that $\\mathbb{P}(X = x_0) \\neq 0$).",
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"id": 972656071497896000,
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"timestamp": "05/07/2022 20:27:58",
"content": "**Rœmer**",
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"content": "**Rœmer**",
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"content": "@Rœmer Has your question been resolved?",
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"content": "@Helpers",
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"content": "@Rœmer Has your question been resolved?",
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"timestamp": "05/07/2022 21:40:49",
"content": "Channel closed",
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] |
help-9
|
5e5ba5acc7434647b515c867bff2b5ae
|
199,774 |
[
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"content": "Available help channel!",
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"id": 972683468846825500,
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"content": "Channel closed",
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}
] |
help-9
|
99614cfcd46d459ca09ef3d4c31e1b78
|
199,775 |
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"timestamp": "05/08/2022 00:27:08",
"content": "hello for this question",
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"id": 972716451821654000,
"author_id": 449340881418321900,
"author_name": "Conrac",
"timestamp": "05/08/2022 00:27:54",
"content": "why is it not .52^4 + (5 choose 1) * .48 * .52^4 + (6 choose 2) * .48^2 * .52^4 + (7 choose 3) * .48^3 * .52^4?",
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"content": "@Conrac Has your question been resolved?",
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"author_name": "jan Niku",
"timestamp": "05/08/2022 01:12:57",
"content": "isnt this over :thonk:",
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"id": 972727811146121200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/08/2022 01:13:02",
"content": "by the 7th game",
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"id": 972727888614948900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "05/08/2022 01:13:21",
"content": "so the only way it could happen is 4, 5c1, and 6c2",
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"content": "@Conrac Has your question been resolved?",
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}
] |
help-9
|
b5ddb767237c4e568381537f15f79e37
|
199,776 |
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"id": 956592355186708500,
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"author_name": "vo",
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"content": "What did I do wrong",
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"timestamp": "03/24/2022 12:39:42",
"content": "in the first solution, you have to use the binomial formula if you wan't to square the equation: 1+2=3, but 1^2+2^2=5 and 3^2=9.",
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"timestamp": "03/24/2022 12:45:23",
"content": "@vo in the second sheet: In the fourth line the appears $\\sqrt{2x+1}$, but it should be $\\sqrt{x+2}$",
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"content": "@vo Has your question been resolved?",
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help-9
|
32d8d8bd41354f03830dcbe1957781f9
|
199,777 |
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"id": 972744937017839600,
"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:21:05",
"content": "i need help!",
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"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:21:30",
"content": "someone that knows please help me! :pandaOhNo:",
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"id": 972748203306942500,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:34:04",
"content": "Use -b/2a to find maximum/minimum point",
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"id": 972748243370926100,
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"timestamp": "05/08/2022 02:34:14",
"content": "@Ace ♡",
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"timestamp": "05/08/2022 02:36:15",
"content": "i found answer for a",
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"timestamp": "05/08/2022 02:36:20",
"content": "max point is 15",
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"id": 972748790949904400,
"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:36:24",
"content": "whats the answer for b!",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:36:54",
"content": "That will be the length from the first root to the second root",
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"timestamp": "05/08/2022 02:37:09",
"content": "i dont get it",
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"author_id": 476498027243241540,
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"timestamp": "05/08/2022 02:37:20",
"content": "root as in a zero",
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"timestamp": "05/08/2022 02:37:26",
"content": "Where the graph meets the x axis",
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"timestamp": "05/08/2022 02:37:45",
"content": "can you show it in a piece of paper or something?",
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"timestamp": "05/08/2022 02:37:51",
"content": "😫",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:38:00",
"content": "Do you know what an x intercept is",
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"timestamp": "05/08/2022 02:38:06",
"content": "yuh",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:38:22",
"content": "find the x intercepts",
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"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:38:56",
"content": "and exactly how can i do that?",
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"timestamp": "05/08/2022 02:39:04",
"content": "plug in 0 for y",
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"timestamp": "05/08/2022 02:39:05",
"content": "i forgot the way 💀",
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"timestamp": "05/08/2022 02:39:24",
"content": "Then use quadratic formula",
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"timestamp": "05/08/2022 02:39:31",
"content": "to?",
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"timestamp": "05/08/2022 02:39:38",
"content": "the equation",
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"timestamp": "05/08/2022 02:39:43",
"content": ".",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:39:53",
"content": "Or h(x)",
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"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:40:04",
"content": "so i change the x^2 to 0^2?",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:40:08",
"content": "Ano",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:40:24",
"content": "yikes, im bad at math",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:40:35",
"content": "h(x)=15-0.06x^2",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:40:46",
"content": "mhm",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:40:47",
"content": "0=15-0.06x^2",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:40:55",
"content": "ooh",
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"timestamp": "05/08/2022 02:41:10",
"content": "then use quadratic formula",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:41:13",
"content": "so -15=-0.06x^2?",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:41:28",
"content": "no",
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"timestamp": "05/08/2022 02:41:41",
"content": "howww",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:42:00",
"content": "0=-0.06x^2+15 for formatting purposes",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:42:10",
"content": "yep",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:42:16",
"content": "and what should i do next",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:42:27",
"content": "Use -b±√b^2-4ac all over 2a",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:42:31",
"content": "a=-0.06 b=0, c=15",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:42:39",
"content": "right?",
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"timestamp": "05/08/2022 02:42:50",
"content": "yes",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:43:00",
"content": "and i sub this into this",
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"timestamp": "05/08/2022 02:43:02",
"content": ".",
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"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:43:04",
"content": "right?",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:43:06",
"content": "mhm",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:43:12",
"content": "then thats the answer for b?",
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"timestamp": "05/08/2022 02:43:16",
"content": ".",
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"timestamp": "05/08/2022 02:43:17",
"content": "no",
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"timestamp": "05/08/2022 02:43:22",
"content": "you'll get the two roots",
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"timestamp": "05/08/2022 02:43:28",
"content": "Then you find the distance between them",
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"timestamp": "05/08/2022 02:43:45",
"content": "And that will be the answer",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:06",
"content": "so for example the answer is z",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:11",
"content": "what should i do next",
"attachments": [],
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{
"id": 972750771135328300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 02:44:16",
"content": "It will be two answers",
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"id": 972750797454598100,
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:44:22",
"content": "for two roots a quadratic has",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:23",
"content": "a and b then",
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"author_id": 754319582608490500,
"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:30",
"content": "then?",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:44:30",
"content": "let's say 3 and 5",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:33",
"content": "okay",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:44:35",
"content": "The answer would be 2",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:44:47",
"content": "and thats the asnwer for b?",
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"timestamp": "05/08/2022 02:45:00",
"content": "if the roots are 3 and 5 yes",
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"id": 972750964295626900,
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"timestamp": "05/08/2022 02:45:02",
"content": "But they arent",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:45:04",
"content": "ok ill try now! thanks a lot",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:45:11",
"content": "oki",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:49:04",
"content": "im stuck here,\n\n-0+-square root 3.6 over -0.12",
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"timestamp": "05/08/2022 02:49:18",
"content": "what should i do next",
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:49:19",
"content": "use a calculator",
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"timestamp": "05/08/2022 02:49:24",
"content": "doesn't have to be exact",
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"timestamp": "05/08/2022 02:49:26",
"content": "okok",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:49:49",
"content": "use it twice right?\n\n1. -0+square root 3.6 over -0.12\n2. -0-square root 3.6 over -0.12",
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"id": 972752212113625200,
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"timestamp": "05/08/2022 02:50:00",
"content": "yea",
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"timestamp": "05/08/2022 02:50:03",
"content": "alr",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:51:09",
"content": "15.81 and -15.81",
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"timestamp": "05/08/2022 02:51:29",
"content": "15.81--15.81",
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"id": 972752636157780000,
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:51:41",
"content": "15.81+15.81",
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"id": 972752654524616700,
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:51:45",
"content": "31.62",
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"id": 972752685122068600,
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:51:53",
"content": "thats the answer?",
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"timestamp": "05/08/2022 02:51:53",
"content": "there's you're answer",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:51:59",
"content": "but it looks weird lol",
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"id": 972752731540422700,
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"author_name": "Arctic",
"timestamp": "05/08/2022 02:52:04",
"content": "how so",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:52:19",
"content": "its okay lmao, thanks for the help, appreciate it",
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"id": 972752829318066200,
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"timestamp": "05/08/2022 02:52:27",
"content": "alright",
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"id": 972752848825766000,
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"timestamp": "05/08/2022 02:52:32",
"content": "gl",
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"timestamp": "05/08/2022 02:54:22",
"content": "its correct!",
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"timestamp": "05/08/2022 02:54:29",
"content": "saved my day 😂",
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"timestamp": "05/08/2022 02:54:38",
"content": "good good",
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"author_name": "Ace ♡",
"timestamp": "05/08/2022 02:54:54",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972753448611242000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 02:54:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1f65ca91e6254c0cbfc5b02a710bc7db
|
199,778 |
[
{
"id": 972753701276090400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 02:55:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972754463972528100,
"author_id": 589231340659146800,
"author_name": "BenIto",
"timestamp": "05/08/2022 02:58:57",
"content": "I need help understanding elimination and substitution and how to do it 🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972754465864179700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 02:58:57",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 972754463972528100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972754636614275100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 02:59:38",
"content": "do you have a specific problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972755080564592600,
"author_id": 589231340659146800,
"author_name": "BenIto",
"timestamp": "05/08/2022 03:01:24",
"content": "No but anything really could help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972755641007484900,
"author_id": 589231340659146800,
"author_name": "BenIto",
"timestamp": "05/08/2022 03:03:37",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972755642777481200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:03:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4e959220fa564c9d8c8372f40ed9a0b6
|
199,779 |
[
{
"id": 972756989107138600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:08:59",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763161855926300,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:33:30",
"content": "can anyone tell me the workout and the answer for this question, i am really confused how to solve it because i was half asleep at my math class.\n\nv = u + at when u = -8, a = -10 and t = 6",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763164016001000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:33:31",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 972763161855926300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972763442446495700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:34:37",
"content": "just plug in for the known values",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763489884045300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:34:49",
"content": "that turns into",
"attachments": [],
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"reference": null
},
{
"id": 972763529478303700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:34:58",
"content": "v = (-8) + (-10)(6)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763853672828900,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:36:15",
"content": "am i suppoed to multiply -10 and 6 or subtract",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763884349964300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:36:23",
"content": "multiply",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763899784986600,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:36:26",
"content": "tell me why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763914695741400,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:36:30",
"content": "cuz bracket?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763936170602500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:36:35",
"content": "why would you subtract lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972763994270076900,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:36:49",
"content": "cuz like negative and positive is subtract",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764015761690600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:36:54",
"content": "when we write variables or numbers next to each other it means we multiply",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764047286079500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:37:01",
"content": "let's look at our equation again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764070317027300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:37:07",
"content": "we have:\nv = u + at",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764101304549400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:37:14",
"content": "what is being done with a and t?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764140097638400,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:24",
"content": "ohhhhhhhhhhhoohh oohohhoohh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764154970648600,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:27",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764185404538900,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:34",
"content": "i wwas confused if i should multiply or sub",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764199459651600,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:38",
"content": "thank youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764206975819800,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:40",
"content": "..close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764212004790300,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:41",
"content": ".clos",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764217868439600,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:42",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764219617464300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:37:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
56d9d74685f64a42b8843010e7cb4549
|
199,780 |
[
{
"id": 972764224738721800,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:44",
"content": ".dloe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764230786875400,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:37:45",
"content": ".cl",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764901430931500,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:40:25",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764905482641400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:40:26",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764908003397600,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:40:27",
"content": "wia",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764933332795400,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:40:33",
"content": "are you stil hhere",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972764956871258100,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:40:38",
"content": "is the answer -68",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972765262589882400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 03:41:51",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972765284974870700,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:41:57",
"content": "okk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972765299042570200,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:42:00",
"content": ".clow",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972765305598255100,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:42:01",
"content": ".cllse",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972765310568525800,
"author_id": 694798785280475100,
"author_name": "Джек",
"timestamp": "05/08/2022 03:42:03",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 972765312267194400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:42:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
fb371e16ac9743998466461e5b5496ea
|
199,781 |
[
{
"id": 972767424602595300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 03:50:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972770960270823400,
"author_id": 711571606438281200,
"author_name": "Kovid",
"timestamp": "05/08/2022 04:04:30",
"content": "in how many ways can we send six urgent letters if we can use three messengers and each letter can be given to any of them ? so that each has at least one.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972770962309267500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:04:30",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 972770960270823400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972771093133819900,
"author_id": 711571606438281200,
"author_name": "Kovid",
"timestamp": "05/08/2022 04:05:01",
"content": "@Helpers I am not getting my answer in a proper way this is my third time plz help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972774869165023200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:20:02",
"content": "@Kovid Has your question been resolved?",
"attachments": [],
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{
"id": 711571606438281200,
"name": "Kovid",
"discriminator": "4683",
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}
],
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},
{
"id": 972776000586932200,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "05/08/2022 04:24:31",
"content": "Each messenger must recieve atleast 1 letter (i.e you cannot give all 6 to one of them) \n\nSo,, \nThat leaves us with a number of ways to give each messenger a letter\n\nMessagerA - 6 ways \nMessangerB - 5 ways (because A recieved atleast 1) \nMessangerC - 4 ways (because B and A got atleast 1 each) \n\n\nDoes that make sense?",
"attachments": [],
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}
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},
{
"id": 972776192698622000,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "05/08/2022 04:25:17",
"content": "((I'm not sure if this this the right way to get the solution btw. I think this method of solving only guarantees 3 letters delivered))",
"attachments": [],
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},
{
"id": 972776608572264400,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "05/08/2022 04:26:56",
"content": "Like this you multiply the ways each messanger may get the letters \n\nThat is, 6x5x4 \n\nAnd the resultant would be your answer",
"attachments": [],
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"reference": null
},
{
"id": 972777226628128800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 04:29:24",
"content": "indistinguishable messengers and letters you said",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972777466491990000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 04:30:21",
"content": "meaning we're looking for \n4,1,1\n3,2,1\n2,2,2",
"attachments": [],
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"reference": null
},
{
"id": 972777484892373000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 04:30:25",
"content": "that's the only 3 ways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972777722604552200,
"author_id": 711571606438281200,
"author_name": "Kovid",
"timestamp": "05/08/2022 04:31:22",
"content": "this is totally wrong way ig",
"attachments": [],
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{
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"name": "SporkleBM || hibernating",
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}
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},
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"id": 972778151191134200,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "05/08/2022 04:33:04",
"content": "Yeah it probably isnt right. just throwing in my two cents though since nobody had answered yet\n\n\nMaybe 6 factorial Multiplied by 3 factorial is your soln? Because. Yk. 6 letters, 3 messangers- \n\n\n6!*3!",
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},
{
"id": 972778644596482000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:35:02",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
7240ae92d9a4446a8342b715c3b2b376
|
199,782 |
[
{
"id": 972778899111035000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:36:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972781603732480000,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:46:47",
"content": "The volume of a cube is s^3, where s is one of its sidelengths\nif s doubled itself, how much bigger would it be than s^3?",
"attachments": [],
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"reference": null
},
{
"id": 972781607742234600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:46:48",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 972781603732480000,
"channelId": 486844875632017400,
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}
},
{
"id": 972781670627434500,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:47:03",
"content": "The answer is 8, but I haven't quite figured out how to solve it, really",
"attachments": [],
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"reference": null
},
{
"id": 972781691871559700,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:47:08",
"content": "My initial approach was",
"attachments": [],
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},
{
"id": 972781751095164900,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:47:22",
"content": "2s^3 / s^3 = 2",
"attachments": [],
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},
{
"id": 972781777376641000,
"author_id": 527534483595853800,
"author_name": "NoMatter",
"timestamp": "05/08/2022 04:47:29",
"content": "if you wanna look at it visually picture a cube with side s and another with side 2s",
"attachments": [],
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},
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"id": 972781896440369200,
"author_id": 527534483595853800,
"author_name": "NoMatter",
"timestamp": "05/08/2022 04:47:57",
"content": "the problem isnt doubling s^3, its doubling s",
"attachments": [],
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],
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},
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"id": 972782120768516100,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:48:51",
"content": "Oh, yikes\nYeah, right, I should've remembered to cube 2s^3 and not just leave it as it is",
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"id": 972782246526324700,
"author_id": 527534483595853800,
"author_name": "NoMatter",
"timestamp": "05/08/2022 04:49:20",
"content": "so you would get 8 right",
"attachments": [],
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},
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"id": 972782252591284200,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:49:22",
"content": "*which makes it 8s^3, and that's what we were indeed looking for*",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 04:49:24",
"content": "Wouldn't s^2 be smaller than s^3",
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"timestamp": "05/08/2022 04:49:25",
"content": "ok",
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},
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"id": 972782341359566800,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:49:43",
"content": "where have you found the s^2",
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"author_name": "Arctic",
"timestamp": "05/08/2022 04:50:00",
"content": "oh wait it said double",
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"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:51:07",
"content": "Yeah, you're right, I now know that I should've cubed 2s",
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"timestamp": "05/08/2022 04:51:31",
"content": "Thanks, mate",
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"id": 972782802531651600,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "05/08/2022 04:51:33",
"content": ".close",
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},
{
"id": 972782804830130200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:51:34",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f51634d1ddb74bacba3efa4228cab86e
|
199,783 |
[
{
"id": 972782807782920300,
"author_id": 527534483595853800,
"author_name": "NoMatter",
"timestamp": "05/08/2022 04:51:34",
"content": "np",
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},
{
"id": 972784131631091700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 04:56:50",
"content": "Available help channel!",
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"reference": null
},
{
"id": 972790199002202100,
"author_id": 699663571327647700,
"author_name": "Just_Anton",
"timestamp": "05/08/2022 05:20:57",
"content": "Hello, I need someone to check this for me",
"attachments": [],
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},
{
"id": 972790200809979900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 05:20:57",
"content": "Pinned a message.",
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}
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"author_name": "Just_Anton",
"timestamp": "05/08/2022 05:21:49",
"content": "nevermind actually",
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},
{
"id": 972790431177900000,
"author_id": 699663571327647700,
"author_name": "Just_Anton",
"timestamp": "05/08/2022 05:21:52",
"content": "!close",
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},
{
"id": 972790453277687800,
"author_id": 699663571327647700,
"author_name": "Just_Anton",
"timestamp": "05/08/2022 05:21:57",
"content": ".close",
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"id": 972790455190315000,
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"timestamp": "05/08/2022 05:21:58",
"content": "Channel closed",
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}
] |
help-9
|
395ac374cc7547a8ba6fb3eecfe02f2f
|
199,784 |
[
{
"id": 972792724057096200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 05:30:59",
"content": "Available help channel!",
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},
{
"id": 972793200051896300,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:32:52",
"content": "$x^4+4$",
"attachments": [],
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},
{
"id": 972793201813499900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 05:32:52",
"content": "Pinned a message.",
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{
"id": 972793210290192400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 05:32:54",
"content": "**Michal**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/972793210407645184/692635975678951464.png",
"fileName": "692635975678951464.png",
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"id": 972793247531409400,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:33:03",
"content": "how to find real roots of this polynomial",
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},
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"id": 972793406210330600,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:33:41",
"content": "how ?",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:33:54",
"content": "It looks like all the roots are imaginary",
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},
{
"id": 972793489005899800,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:34:01",
"content": "(x^2)^2 + 2^2",
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},
{
"id": 972793793801756700,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:35:14",
"content": "(x^2+2)^2≠x^4+4",
"attachments": [],
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},
{
"id": 972793857102192600,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:35:29",
"content": "i know",
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},
{
"id": 972793956586881000,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:35:52",
"content": "i have written it in form of a^2 + b ^2",
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"id": 972793968414818300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:35:55",
"content": "therefore there are no real roots",
"attachments": [],
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},
{
"id": 972794031639777300,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:36:10",
"content": "and how to find the complex roots ?",
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},
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"id": 972794096538239000,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:36:26",
"content": "(x^2)^2=-4",
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"id": 972794146131705900,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:36:38",
"content": "so x^2=+-2i",
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"id": 972794173218508800,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:36:44",
"content": "^",
"attachments": [],
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"id": 972794310137364500,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:37:17",
"content": "what about x^4 = 2^2 i^2",
"attachments": [],
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},
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"id": 972794316135215100,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:37:18",
"content": "But there should be 4 complex roots",
"attachments": [],
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"id": 972794487887757300,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:37:59",
"content": "then i'd use exponential form of x",
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:38:11",
"content": "bc it's like finding x such as x^2 = i",
"attachments": [],
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"id": 972794578367291400,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:38:21",
"content": "if you've done that kind of thing before",
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"author_name": "Arctic",
"timestamp": "05/08/2022 05:38:28",
"content": "I have not actually",
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"id": 972794702690652200,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:38:50",
"content": "Wow I learn things I never thought I'd learn new things in again",
"attachments": [],
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:40:42",
"content": "@Michal if you're looking for real roots just prove there are none bc it's always strictly positive",
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:40:44",
"content": "for real x",
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"id": 972795252974960600,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:41:01",
"content": "how to continue ?",
"attachments": [],
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"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:41:20",
"content": "i doo not have much experience with complex numbers",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 05:41:52",
"content": "Euler",
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:42:19",
"content": "as in you know roughly what they are but haven't worked with them yet ?",
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"timestamp": "05/08/2022 05:42:21",
"content": "i=exp(iπ/2)=cis(π/2)",
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"author_name": "Michal",
"timestamp": "05/08/2022 05:43:03",
"content": "is it possible to do it without ?",
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"author_name": "EndTimes",
"timestamp": "05/08/2022 05:43:16",
"content": "Nah not really",
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"id": 972795897748537300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 05:43:35",
"content": "Maybe",
"attachments": [],
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"id": 972795919814766600,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:43:40",
"content": "can i split it to two equations ?",
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"id": 972795955134988300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:43:49",
"content": "no",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 05:43:50",
"content": "We're solving the eq x^2 = i?",
"attachments": [],
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"id": 972795961833300000,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:43:50",
"content": "x^2 = 2i and -2i",
"attachments": [],
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"author_name": "Gespenst",
"timestamp": "05/08/2022 05:43:58",
"content": "i assume it was a homework problem, proving there are no real roots solves the question",
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"author_name": "Michal",
"timestamp": "05/08/2022 05:44:16",
"content": "yes, but under a reals and complex",
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"author_name": "EndTimes",
"timestamp": "05/08/2022 05:44:42",
"content": "x^2 = 2i\nassume x = (a+bi)\n(a+bi)^2 = 2i\na^2 + 2abi - b^2 = 2i\na^2-b^2 = 0\n2ab=2",
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"id": 972796213579624400,
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"author_name": "Arctic",
"timestamp": "05/08/2022 05:44:50",
"content": "Im pretty sure that's where the euler formula comes in",
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"author_name": "Arctic",
"timestamp": "05/08/2022 05:44:57",
"content": "Not 100% sure tho",
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"author_name": "EndTimes",
"timestamp": "05/08/2022 05:45:13",
"content": "We can also do this if you don't like complex exponentials",
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"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "05/08/2022 05:45:21",
"content": "I'm just here to learn now",
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"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:45:45",
"content": "and what to do with 2ab = 2",
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"timestamp": "05/08/2022 05:45:56",
"content": "2ab = 2",
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"author_name": "Gespenst",
"timestamp": "05/08/2022 05:45:58",
"content": "yeah first eq gives a=+-b",
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"timestamp": "05/08/2022 05:45:59",
"content": "Mb",
"attachments": [],
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},
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 05:46:23",
"content": "Use the second equation first so we don't have to deal with square roots",
"attachments": [],
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"id": 972797004155588600,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:47:59",
"content": "no first one first so you can substitute in the second one and find both roots",
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"author_name": "EndTimes",
"timestamp": "05/08/2022 05:48:39",
"content": "2ab = 2\nab = 1\nb = 1/a\nSubstitute \na^2 - 1/a^2 = 0\na^4 - 1 = 0\nRemember that only real values of a and b are valid. \n(a,b) = (1,1)\n(a,b) = (-1,-1)",
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"id": 972797346486288400,
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"author_name": "Gespenst",
"timestamp": "05/08/2022 05:49:21",
"content": "then same thing except ab=-1",
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"id": 972797363930398800,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:49:25",
"content": "Then how the irreducible polynomial looks like ?",
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:49:38",
"content": "for the square roots of -2i",
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"author_name": "Gespenst",
"timestamp": "05/08/2022 05:49:57",
"content": "over the reals ?",
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"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:50:45",
"content": "Complex",
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"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:51:26",
"content": "it's the product of (X-a\\_i) with a_i being the four roots we just found",
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"id": 972798041226612700,
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"author_name": "Michal",
"timestamp": "05/08/2022 05:52:06",
"content": "Ok thanks",
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},
{
"id": 972798146340073500,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:52:31",
"content": "over the reals it would be the product of two irreducible second degree real polynomials",
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},
{
"id": 972798373423878100,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:53:25",
"content": "Hmm",
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},
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"id": 972798431829557200,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:53:39",
"content": "But there are no roots in reals",
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{
"id": 972798473328001200,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:53:49",
"content": "yeah",
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},
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"id": 972798638239666200,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 05:54:29",
"content": "irreducible real polynomials have degree at most two",
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},
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"id": 972798925713055700,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 05:55:37",
"content": "How to determine it ?",
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"id": 972799530380718100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 05:58:01",
"content": "what are we trying to solve/factorize/do here",
"attachments": [],
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},
{
"id": 972800210474512400,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 06:00:43",
"content": "Here since you have all four roots you can use the two pairs of conjugate roots",
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},
{
"id": 972800282847219800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 06:01:01",
"content": "x^4 = -4",
"attachments": [],
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},
{
"id": 972800315998998500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 06:01:09",
"content": "I think",
"attachments": [],
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},
{
"id": 972800333044662300,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 06:01:13",
"content": "1-i /1+i",
"attachments": [],
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},
{
"id": 972800345585614800,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 06:01:16",
"content": "-1-i/-1+i",
"attachments": [],
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},
{
"id": 972800368704626700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/08/2022 06:01:21",
"content": ",w x^4 + 4 = 0",
"attachments": [],
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},
{
"id": 972800381807624200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 06:01:24",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
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"id": 972800533465288800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:02:00",
"content": "maybe let OP speak",
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"id": 972800602843271200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:02:17",
"content": "@Michal is the only person who knows for certain what they were asked to do",
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"id": 972800733277724700,
"author_id": 458564430024933400,
"author_name": "Gespenst",
"timestamp": "05/08/2022 06:02:48",
"content": "I think his latest question was factorize x²+4 into a product of irreducible real polynomials",
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},
{
"id": 972800757923455000,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 06:02:54",
"content": "We already did it",
"attachments": [],
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},
{
"id": 972800795781255200,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 06:03:03",
"content": "Yes, I'm curiously how to do this",
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"id": 972801007673303000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:03:53",
"content": "$x^4 + 4 = x^4 + 4x^2 + 4 - 4x^2 = (x^2+2)^2 - (2x)^2$",
"attachments": [],
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},
{
"id": 972801015986405400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 06:03:55",
"content": "**Ann**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/972801016120614912/183668144404037632.png",
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"id": 972801036429451300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:04:00",
"content": "= (x^2 - 2x + 2)(x^2 + 2x + 2)",
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},
{
"id": 972801768205484200,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 06:06:55",
"content": "Uhmm, got it",
"attachments": [],
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},
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"id": 972801795933999100,
"author_id": 692635975678951400,
"author_name": "Michal",
"timestamp": "05/08/2022 06:07:01",
"content": "Thanks guys for help",
"attachments": [],
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},
{
"id": 972804300373884900,
"author_id": 427313150153457660,
"author_name": "RunningMan",
"timestamp": "05/08/2022 06:16:59",
"content": "help",
"attachments": [],
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"reference": null
},
{
"id": 972805571982024700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:22:02",
"content": "@Michal Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:28:22",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
7543e5260f144893b96442dd80d4917e
|
199,785 |
[
{
"id": 972807419501633500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:29:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972809758929219600,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 06:38:40",
"content": "Does anyone know what |x| means idk what the lines on the side means",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972809761919754200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:38:41",
"content": "Pinned a message.",
"attachments": [],
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"id": 972809877716095000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/08/2022 06:39:08",
"content": "absolute value of x",
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},
{
"id": 972809932242042900,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 06:39:21",
"content": "oh wait so the lines mean the absolute value",
"attachments": [],
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"reference": null
},
{
"id": 972810077633384400,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 06:39:56",
"content": "how would you draw the inequality of |x| > 2",
"attachments": [],
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},
{
"id": 972810336971423900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:40:58",
"content": "by viewing |x| as the distance from x to 0 on the number line",
"attachments": [],
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},
{
"id": 972810408807239700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:41:15",
"content": "|x| > 2 is satisfied by all points to the right of 2 and all points to the left of -2 and nothing else",
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},
{
"id": 972810454667763700,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 06:41:26",
"content": "o tysm",
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},
{
"id": 972810830766829600,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 06:42:56",
"content": ".close",
"attachments": [],
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},
{
"id": 972810832335474700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:42:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0f1b9d18e84c4fbb9fb1f8624bcad7b7
|
199,786 |
[
{
"id": 972810874362409000,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 06:43:06",
"content": "how do i write the domain of this",
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"reference": null
},
{
"id": 972811528984203300,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 06:45:42",
"content": "$(–\\inf; –2)U(2;+\\inf)$",
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"reference": null
},
{
"id": 972811537855156200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 06:45:44",
"content": "**aol**",
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"id": 972811604309712900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:46:00",
"content": "$(-\\infty, -2) \\cup (2, +\\infty)$",
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"reference": null
},
{
"id": 972811646458294300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 06:46:10",
"content": "**Ann**",
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{
"id": 972811693048606800,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 06:46:21",
"content": "so it is infty?",
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},
{
"id": 972811724908556300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:46:29",
"content": "yes the latex symbol for ∞ is \\infty",
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},
{
"id": 972811794546561000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:46:45",
"content": "we really shouldn't be having this convo here in a channel that's about to close",
"attachments": [],
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"reference": null
},
{
"id": 972811825739599900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 06:46:53",
"content": "#latex-help for further info on LaTeX",
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"reference": null
},
{
"id": 972811844219732000,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 06:46:57",
"content": "Ok",
"attachments": [],
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"reference": null
},
{
"id": 972812291198312400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:48:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972814303491137500,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 06:56:43",
"content": "x participants\ny winners\nx>y\nWhat's the probability of z people winning? z<=y",
"attachments": [],
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"reference": null
},
{
"id": 972814306401988600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 06:56:44",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"id": 972818079740465200,
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 07:11:44",
"content": "@aol Has your question been resolved?",
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"id": 972818465582895100,
"author_id": 502608135848984600,
"author_name": "telmuun",
"timestamp": "05/08/2022 07:13:16",
"content": "@Helpers aol needs help",
"attachments": [],
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},
{
"id": 972821489420234900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 07:25:17",
"content": "like you have z specific people i assume that you want to win",
"attachments": [],
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},
{
"id": 972821740604502000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 07:26:17",
"content": "(x−z) choose (y−z) divided by (x choose y)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972822186131882000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/08/2022 07:28:03",
"content": "you know there will be y−z \"non-special\" winners you don't care about, and they come from x−z participants",
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},
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"id": 972825649851019300,
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 07:41:49",
"content": "@aol Has your question been resolved?",
"attachments": [],
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"id": 972825888058138600,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 07:42:45",
"content": "Thanks",
"attachments": [],
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},
{
"id": 972825918278086700,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 07:42:53",
"content": ".close",
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},
{
"id": 972825919859335200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 07:42:53",
"content": "Channel closed",
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}
] |
help-9
|
ac24fbddbfcf41dfabb4ab24f0aabcf4
|
199,787 |
[
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"timestamp": "03/24/2022 13:07:35",
"content": "Available help channel!",
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},
{
"id": 956601062679261200,
"author_id": 956592620778422400,
"author_name": "Laine",
"timestamp": "03/24/2022 13:11:06",
"content": "Hello I'm currently having trouble on illustrating the graph whether it is continous or not. \nI have already solved and checked that the function is a continuous function, but illustrating the graph is where I'm stuck at.",
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"content": "Pinned a message.",
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"author_name": "Laine",
"timestamp": "03/24/2022 13:12:46",
"content": "Do I have to consider the value I got on Step 1 which is one? And the value of step 2 which is also 1? Or simply graph it using the the function f(X)=x²+6x+9",
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"timestamp": "03/24/2022 13:27:46",
"content": "@Laine Has your question been resolved?",
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"timestamp": "03/24/2022 13:28:36",
"content": "Not yet:pensivebread:",
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"content": "It’s enough to say it is defined at that point, has a limit at that point, and that they are equal",
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"content": "Sketching the graph is just an extra part, but you could illustrate it’s continuity that way also",
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"content": "So in short it is all of steps 1 to 3 combined which give the result",
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"content": "I should say that yes, it is just sketching the graph traditionally",
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"content": "You could label the point specifically",
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"content": "Thank you very much @dk.dkn :sadcatthumbsup:",
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"content": ".close",
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help-9
|
94dda49736024bd2a4ffca60646fc36f
|
199,788 |
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help-9
|
b1c007f772544087b6bdbb1861c3504c
|
199,789 |
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"id": 972835130634830000,
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"content": "That is the question.",
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"content": "That is HW3 Q5.",
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"content": "@Ann Could you help out here? :happy:",
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"content": "@RanZ Has your question been resolved?",
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"timestamp": "05/08/2022 08:47:27",
"content": "...okay i only saw this now sorry",
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"timestamp": "05/08/2022 08:47:29",
"content": "was making food",
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"content": "right so",
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"content": "you've already done part a, right?",
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"timestamp": "05/08/2022 08:53:58",
"content": "so now you're considering the series $\\sum_{k=1}^{\\infty} \\frac{(-1)^{k+1}}{k}$",
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"content": "**Ann**",
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"content": "from part (a) you know that the even-numbered partial sums of this series are expressible as $$S_{2n} = \\sum_{k=1}^n \\frac{1}{n+k}$$",
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"content": "**Ann**",
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"content": "and in particular factoring out $\\frac1n$ from the summation gives $$S_{2n} = \\frac1n \\sum_{k=1}^n \\frac{1}{1 + (k/n)},$$ which is the lower Riemann sum for the function $f(x) = \\frac{1}{1+x}$ on $[0,1]$ with $n$ equal subintervals.",
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"content": "**Ann**",
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"content": "@RanZ do you follow so far",
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help-9
|
15e47e27275047d499db8055abec9eeb
|
199,790 |
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"content": "i need to find where the velocity for s and x have the same sign (+or-)",
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"content": "im not sure how i would do it",
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"timestamp": "05/08/2022 09:17:30",
"content": "firstly ive differentiated both equations",
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"timestamp": "05/08/2022 09:17:51",
"content": "is the t>1 relevant",
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"id": 972850699085967400,
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"author_name": "TeXit",
"timestamp": "05/08/2022 09:21:21",
"content": "A brief description and guide on how to use me was sent to your DMs!\nPlease use `,list` to see a list of all my commands, and `,help cmd` to get detailed help on a command!",
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"timestamp": "05/08/2022 09:21:38",
"content": "~~You really shouldn't take it literally :upside_down:.~~ Please type `,help ping`, for example!\nThe full command list may be found using `,list`.",
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"content": "@sauxing Has your question been resolved?",
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"content": ".close",
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help-9
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01c9a91023314434b8e06274be838d18
|
199,791 |
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"content": "Available help channel!",
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"author_id": 814490306417918000,
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"content": "a=?\nb=?\nc=?\nd=?",
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"timestamp": "05/08/2022 09:57:54",
"content": "Since f=g, they must have the same domain, so a=-2 and c=7.",
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"timestamp": "05/08/2022 09:58:29",
"content": "Now since f=g, and since -2<0<7, f(0)=g(0).",
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"timestamp": "05/08/2022 09:58:51",
"content": "From there, you should be able to conclude.",
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"content": "@Cami<3 Has your question been resolved?",
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"timestamp": "05/08/2022 10:14:02",
"content": "Thanks!",
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help-9
|
00d05068c86441e58e3ffc971d3368d6
|
199,792 |
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help-9
|
efe692d3b0a54fa1bcb6684317279f97
|
199,793 |
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"id": 972866952353677400,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:25:56",
"content": "",
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"id": 972866996511326200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "05/08/2022 10:26:06",
"content": "q9?",
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"id": 972867013489868800,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:26:11",
"content": "yes",
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"id": 972867066526838800,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:26:23",
"content": "why is it -1/x and 1/x",
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},
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"id": 972867157690044400,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:26:45",
"content": "how would you solve it?",
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},
{
"id": 972867430890233900,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/08/2022 10:27:50",
"content": "Consider the minumum and maximum values of sin(2x)",
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{
"id": 972867779936018400,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:29:13",
"content": "heightwise of just sin(2x)? that would be -1 and 1 still right?",
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"id": 972867841541951600,
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"timestamp": "05/08/2022 10:29:28",
"content": "Yea 1 and -1",
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},
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"id": 972868066620874800,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/08/2022 10:30:22",
"content": "So for some x where sin(2x) has a maximum, what will be the value of sin(2x)/x",
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},
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"id": 972868134669258800,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "05/08/2022 10:30:38",
"content": "In terms of x",
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"id": 972868235055747100,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:31:02",
"content": "1/x but",
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},
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"id": 972868358313754600,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:31:31",
"content": "why doesn't working from -|theta| <= sin(theta) <= |theta|",
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},
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"id": 972868424520859600,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:31:47",
"content": "work out",
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"id": 972868642599485400,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "05/08/2022 10:32:39",
"content": "I just don't have the intuition to come up with a solution like that using sandwich theorem unless it said something like h(x) <= g(x) <= f(x) and it gives all 3 functions",
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"content": "Available help channel!",
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"timestamp": "05/08/2022 10:35:24",
"content": "Pinned a message.",
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help-9
|
0d5272890acf4dcb9985875c88a40b3e
|
199,794 |
[
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"timestamp": "05/08/2022 10:45:25",
"content": "Available help channel!",
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"id": 972874837146083300,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 10:57:16",
"content": "How can I solve -2x^(-3)=0?",
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"author_name": "ramonov",
"timestamp": "05/08/2022 11:00:11",
"content": "what have you tried",
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},
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"author_id": 737179602220351600,
"author_name": "Nayan RBLX",
"timestamp": "05/08/2022 11:00:16",
"content": "which chapter is this question from?",
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"id": 972875626975461400,
"author_id": 737179602220351600,
"author_name": "Nayan RBLX",
"timestamp": "05/08/2022 11:00:24",
"content": "quadriatic?",
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},
{
"id": 972875784832315400,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:01:02",
"content": "Chapter? It's from a differentiation question, finding when a function is increasing and decreasing.",
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"author_id": 737179602220351600,
"author_name": "Nayan RBLX",
"timestamp": "05/08/2022 11:01:22",
"content": "which grade are you in",
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},
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"id": 972875909591871600,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:01:32",
"content": "y13",
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"author_id": 737179602220351600,
"author_name": "Nayan RBLX",
"timestamp": "05/08/2022 11:01:44",
"content": "you're from the uk?",
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"id": 972876043801231500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:02:04",
"content": "show the original question",
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"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:02:04",
"content": "Sorry, i mistyped the inequality. It should be -2x^(-3)>0",
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"id": 972876067566133200,
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"author_name": "Shah",
"timestamp": "05/08/2022 11:02:09",
"content": "Okay, one moment",
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"id": 972876202484322300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:02:41",
"content": "> -2x^(-3)>0\nperhaps it might be easier to see if you express that without negative exponents",
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"id": 972876293060305000,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/08/2022 11:03:03",
"content": "how do you do it",
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"author_name": "Shah",
"timestamp": "05/08/2022 11:03:48",
"content": "",
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"timestamp": "05/08/2022 11:03:54",
"content": "It is part b",
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"author_name": "Shah",
"timestamp": "05/08/2022 11:05:36",
"content": "I changed the inequality to 1/x^3 >0",
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"author_name": "ramonov",
"timestamp": "05/08/2022 11:05:58",
"content": "that's not quite right based on what you started with",
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"author_name": "ramonov",
"timestamp": "05/08/2022 11:06:24",
"content": "be careful when multiplying with negatives in inequalities",
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"author_name": "Shah",
"timestamp": "05/08/2022 11:06:43",
"content": "I divided by -2",
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},
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"id": 972877247490973700,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:06:50",
"content": "so does the inequality change around?",
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"id": 972877288536436700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:07:00",
"content": "is -2 a positive or negative number",
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"id": 972877326394220500,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:07:09",
"content": "negative",
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"id": 972877335386796000,
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"author_name": "ramonov",
"timestamp": "05/08/2022 11:07:11",
"content": "yes",
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},
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"id": 972877400960532500,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:07:27",
"content": "So 1/x^3 <0?",
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"id": 972877414478782500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:07:30",
"content": "yes",
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},
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"id": 972877495978307600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:07:50",
"content": "and you should be able to clearly see when\n1/x^3 will be less than 0",
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"id": 972877617520848900,
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"author_name": "Shah",
"timestamp": "05/08/2022 11:08:19",
"content": "Ahhhh",
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"id": 972877685577633800,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:08:35",
"content": "when x^3 is negative so when x < 0?",
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"id": 972877772231962600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/08/2022 11:08:56",
"content": "yes",
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},
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"id": 972877898010726400,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:09:26",
"content": "So the function is increasing x<0 and decreasing when x>0?",
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},
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"id": 972877969905315800,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:09:43",
"content": "to answer the question",
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"id": 972878030919835600,
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"author_name": "ramonov",
"timestamp": "05/08/2022 11:09:57",
"content": "yeh",
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},
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"id": 972878081889017900,
"author_id": 734396814169604100,
"author_name": "Shah",
"timestamp": "05/08/2022 11:10:09",
"content": "Thank you 🙂",
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"author_name": "Shah",
"timestamp": "05/08/2022 11:10:21",
"content": ".close",
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"content": "Channel closed",
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help-9
|
69bafbafc3924a52a951aecbd12e4efe
|
199,795 |
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"timestamp": "05/08/2022 11:11:22",
"content": "Available help channel!",
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"id": 972882364294381600,
"author_id": 586955478529998800,
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"timestamp": "05/08/2022 11:27:10",
"content": "How do I combine $x_1, x_2, \\dots, x_n$ where each $x_i$ equally likely takes an integer value from $0$ to $n - 1$ into a single number $y$ which can also equally likely be any integer from $0$ to $n-1$ (over all sequences of $x_i$)?",
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"content": "Pinned a message.",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 11:27:39",
"content": "**rept1d**",
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"timestamp": "05/08/2022 11:30:28",
"content": "ehm",
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"id": 972883217214492800,
"author_id": 424654701909377000,
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"timestamp": "05/08/2022 11:30:34",
"content": "y=x1",
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"id": 972883236155982000,
"author_id": 424654701909377000,
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"timestamp": "05/08/2022 11:30:38",
"content": "?",
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"id": 972883527035134000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 11:31:48",
"content": "take the sum mod n maybe?",
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"timestamp": "05/08/2022 11:33:27",
"content": "that's what is was thinking but not sure whether the distribution would be uniform",
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"timestamp": "05/08/2022 11:33:39",
"content": "it should be",
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"timestamp": "05/08/2022 11:34:48",
"content": "i mean that works\nbut i actually need y to also be equally likely 0...n-1 over all x_i where one of them is fixed (you don't know which one in advance)",
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"content": "are you sure",
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"timestamp": "05/08/2022 11:35:36",
"content": "not very obvious for me",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/08/2022 11:35:38",
"content": "reasonably so",
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"author_name": "Ann",
"timestamp": "05/08/2022 11:35:50",
"content": "would not make sense for it to be biased towards any particular value i think??",
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"content": "ok i think that works then",
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"timestamp": "05/08/2022 11:40:03",
"content": "thanks",
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"timestamp": "05/08/2022 11:40:05",
"content": ".close",
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"timestamp": "05/08/2022 11:40:06",
"content": "Channel closed",
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] |
help-9
|
d50598bce59a4e999887a1930e2f403f
|
199,796 |
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"timestamp": "05/08/2022 11:41:06",
"content": "Available help channel!",
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"content": "Pinned a message.",
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help-9
|
f0c674a7edef47ccaffbcae3e49db874
|
199,797 |
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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"id": 972892162469544100,
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"content": "How do you write 32root2 in the form of yroot4y",
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"timestamp": "05/08/2022 12:08:35",
"content": "$32 \\sqrt{2}$\n\nIn the form of \n\n$y \\sqrt{4y}$",
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"content": "**Pi Creature**",
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"content": "oh ok",
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"timestamp": "05/08/2022 12:11:45",
"content": "Oh ok got it",
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"timestamp": "05/08/2022 12:11:53",
"content": "So@sauxing what did u try?",
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"content": "y=512?",
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"content": "Keep in mind \n\nU have \n\n$32 \\sqrt{2}=4\\sqrt{4y}$\n\nAll u need to do is solve for y",
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"content": "**Pi Creature**",
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"timestamp": "05/08/2022 12:12:59",
"content": ":monkey: **no**",
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"timestamp": "05/08/2022 12:14:04",
"content": "409.6?",
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"timestamp": "05/08/2022 12:14:06",
"content": "No",
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"timestamp": "05/08/2022 12:14:10",
"content": "No",
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"timestamp": "05/08/2022 12:14:14",
"content": "I just solved it btw",
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"timestamp": "05/08/2022 12:14:19",
"content": "How did u get it",
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"timestamp": "05/08/2022 12:14:22",
"content": "Oh",
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"content": "I may have used a slow method but it works!",
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"timestamp": "05/08/2022 12:14:49",
"content": "Oh ok",
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"timestamp": "05/08/2022 12:14:55",
"content": "Did u also setup that equation?",
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"timestamp": "05/08/2022 12:14:57",
"content": "Like me?",
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"content": "Yes",
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"timestamp": "05/08/2022 12:15:12",
"content": "I expanded 32sqrt(2)",
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"timestamp": "05/08/2022 12:15:21",
"content": "i dont know what to do",
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"author_name": "shreksdad",
"timestamp": "05/08/2022 12:15:26",
"content": "Show us your steps so far",
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"author_name": "shreksdad",
"timestamp": "05/08/2022 12:15:28",
"content": "And where you are stuck",
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"author_name": "shreksdad",
"timestamp": "05/08/2022 12:15:35",
"content": "Also nice name pi creature",
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"timestamp": "05/08/2022 12:15:38",
"content": "Try solving that equation atleast",
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"timestamp": "05/08/2022 12:15:45",
"content": "Thank you :hype:",
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"content": ",rotate",
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"timestamp": "05/08/2022 12:17:17",
"content": "2048 does not equal y * 4y",
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"timestamp": "05/08/2022 12:17:48",
"content": "what should i do",
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"content": "Expanding to 2048 is fine",
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"timestamp": "05/08/2022 12:18:05",
"content": "$\\sqrt{2048} = y\\sqrt{4y}$",
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"timestamp": "05/08/2022 12:18:26",
"content": "**Breeziboi**",
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"timestamp": "05/08/2022 12:18:31",
"content": "Sorry forgot a square root at first",
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"timestamp": "05/08/2022 12:18:34",
"content": "This is what you have",
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"timestamp": "05/08/2022 12:18:48",
"content": "What do you think a next step should be",
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"timestamp": "05/08/2022 12:18:49",
"content": "do the roots not cancel",
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"content": "No",
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"timestamp": "05/08/2022 12:19:27",
"content": "if you want to cancel roots you need sqrt(4y) on its own",
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"timestamp": "05/08/2022 12:19:37",
"content": "Personally I didn't even started like that",
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"content": ":kot:",
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"timestamp": "05/08/2022 12:19:42",
"content": "is y root 4y equal to y multiplied by root 4y",
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"content": "This is how I did it as well lol",
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"timestamp": "05/08/2022 12:20:02",
"content": "I mean you could say y = sqrt(y^2)",
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"timestamp": "05/08/2022 12:20:07",
"content": "$\\sqrt{4y}=\\sqrt{4}*\\sqrt{y}=2\\sqrt{y}$",
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"timestamp": "05/08/2022 12:20:26",
"content": "2 * sqrt(y)?",
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"content": "**Pi Creature**",
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"content": "Yeye",
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"timestamp": "05/08/2022 12:20:48",
"content": "Ya i see",
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"timestamp": "05/08/2022 12:20:53",
"content": "That works too",
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"timestamp": "05/08/2022 12:20:58",
"content": "What I did was:",
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},
{
"id": 972895976534704300,
"author_id": 909734400990785500,
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"timestamp": "05/08/2022 12:21:16",
"content": "U simplfy the root and then u will get a cancelation and then u can get a way to combine it",
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},
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"content": "$\\frac{\\sqrt{2048}}{y} = \\sqrt{4y}$",
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},
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"id": 972896017907339400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 12:21:26",
"content": "**Breeziboi**",
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"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/08/2022 12:21:32",
"content": "Then went from there",
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},
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"id": 972896097406169200,
"author_id": 909734400990785500,
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"timestamp": "05/08/2022 12:21:45",
"content": ",w 32^2*2",
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"author_name": "TeXit",
"timestamp": "05/08/2022 12:21:46",
"content": "Results provided by WolframAlpha",
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},
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"id": 972896175449587700,
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"timestamp": "05/08/2022 12:22:03",
"content": "I see",
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"timestamp": "05/08/2022 12:22:31",
"content": "@sauxing You there?",
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"timestamp": "05/08/2022 12:34:43",
"content": "@sauxing Has your question been resolved?",
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"timestamp": "05/08/2022 12:49:44",
"content": "Channel closed",
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}
] |
help-9
|
8ca5fc9b44aa48569ffcae6e5d874fae
|
199,798 |
[
{
"id": 956610517013778400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 13:48:40",
"content": "Available help channel!",
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},
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"id": 956612385282613400,
"author_id": 725164103618003000,
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"timestamp": "03/24/2022 13:56:05",
"content": "i think the awnser is 12.63",
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"content": "Pinned a message.",
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"timestamp": "03/24/2022 13:56:23",
"content": "I added all the sides",
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},
{
"id": 956612550101991400,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:56:44",
"content": "2 4.2 for the middle and right rectangle and for the left 3.15 cuz 0.9 x 3.5",
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"id": 956612700413251600,
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"timestamp": "03/24/2022 13:57:20",
"content": "idk",
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},
{
"id": 956612722487861200,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:26",
"content": "i feel like its in the 13s",
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},
{
"id": 956612731308474400,
"author_id": 725164103618003000,
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"timestamp": "03/24/2022 13:57:28",
"content": "not 12",
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},
{
"id": 956612754444267600,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:33",
"content": "somethings telling me",
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},
{
"id": 956612782210551800,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:40",
"content": "the only thing it could else be is",
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},
{
"id": 956612793782648800,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:43",
"content": "1.2x3.5",
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"id": 956612808517238800,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:46",
"content": "which would make it",
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},
{
"id": 956612841438343200,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:57:54",
"content": "3.78+8.4+1.08",
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},
{
"id": 956612877979115500,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:58:03",
"content": "=",
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},
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"id": 956612941766078600,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:58:18",
"content": "13.26",
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"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 13:58:32",
"content": "so im conflicted if its 13.26 or if its 12.63",
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"timestamp": "03/24/2022 14:04:07",
"content": "Assuming you just want the surface area",
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"content": "",
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"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:05:40",
"content": "It is 1.2*3.5 + 1.5*3.5 + 0.9*3.5 + 0.9*1.2 = 13.68",
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"id": 956614873943511000,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 14:05:58",
"content": "how",
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},
{
"id": 956614920579981400,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:06:10",
"content": "Wait hold on latex has messed me up",
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"id": 956614970286686200,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 14:06:21",
"content": "yeah",
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{
"id": 956615045935161500,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:06:39",
"content": "1.2 x 3.5 + 1.5 x 3.5 + 0.9 x 3.5 + 0.9 x 1.2 = 13.68",
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{
"id": 956615149861621800,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:07:04",
"content": "None of the rectangles necessarily have the same area",
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},
{
"id": 956615290374992000,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:07:38",
"content": "They each have two sides of length 3.5, but then they have different other sides",
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{
"id": 956615414719344600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "03/24/2022 14:08:07",
"content": "And you can use base x height for the triangles, since we have 2 we can forget about the 1/2",
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"id": 956615435120418800,
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"author_name": "Argeez",
"timestamp": "03/24/2022 14:08:12",
"content": "yeah",
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},
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"id": 956615532633784400,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 14:08:36",
"content": "alr",
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{
"id": 956615541643149400,
"author_id": 725164103618003000,
"author_name": "Argeez",
"timestamp": "03/24/2022 14:08:38",
"content": "makes sense",
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"timestamp": "03/24/2022 14:08:41",
"content": "ty!",
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"timestamp": "03/24/2022 14:08:52",
"content": "5 Star rating to dk.dkn",
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"id": 956615613411901400,
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"timestamp": "03/24/2022 14:08:55",
"content": ".close",
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"id": 956615615085420500,
"author_id": 805217272087838700,
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"timestamp": "03/24/2022 14:08:55",
"content": "Channel closed",
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}
] |
help-9
|
76f52fb019274aa5b9c6da04e48d8fcc
|
199,799 |
[
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"content": "Available help channel!",
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},
{
"id": 972903673380372500,
"author_id": 938959679730647000,
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"timestamp": "05/08/2022 12:51:51",
"content": "@Helpers help me",
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},
{
"id": 972903675615924200,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"id": 972903677247492200,
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"timestamp": "05/08/2022 12:51:52",
"content": "pls",
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},
{
"id": 972903747619537000,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:52:09",
"content": "i need help with",
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},
{
"id": 972903749188190200,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "05/08/2022 12:52:09",
"content": "First send the question",
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},
{
"id": 972903783451471900,
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"id": 972903784751710200,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "05/08/2022 12:52:17",
"content": "And dont ping helpers",
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},
{
"id": 972903798072807400,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:52:21",
"content": "oh sorry",
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},
{
"id": 972903804074877000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "05/08/2022 12:52:22",
"content": "Read the msg",
"attachments": [],
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},
{
"id": 972904041979994100,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:53:19",
"content": "this question im confused about",
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},
{
"id": 972904749106090000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:56:07",
"content": "Do you know how to find surface area?",
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},
{
"id": 972904770845147100,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:56:13",
"content": "no",
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},
{
"id": 972904814096814200,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:56:23",
"content": "i know but",
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},
{
"id": 972904835143860200,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:56:28",
"content": "not for this",
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},
{
"id": 972904836771221500,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:56:28",
"content": "no",
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},
{
"id": 972904974818365400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:57:01",
"content": "You find the area of all the shapes that makes up that prism and sum it up",
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},
{
"id": 972905041491017700,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:57:17",
"content": "how find surface area for all the shapes",
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},
{
"id": 972905135527309400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:57:40",
"content": "You find the areas of the shapes",
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"mentions": [],
"reference": null
},
{
"id": 972905204062257300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:57:56",
"content": "What shapes are involved in that prism?",
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"reference": null
},
{
"id": 972905242263945200,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:58:05",
"content": "idk",
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},
{
"id": 972905256591704200,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:58:08",
"content": "triangle",
"attachments": [],
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},
{
"id": 972905279719104500,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:58:14",
"content": "all i know",
"attachments": [],
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},
{
"id": 972905339601178600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:58:28",
"content": "What about the other sides?",
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"mentions": [],
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},
{
"id": 972905381913321500,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:58:38",
"content": "looks like",
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},
{
"id": 972905392000602200,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:58:41",
"content": "cereal box",
"attachments": [],
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},
{
"id": 972905471038062600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:59:00",
"content": "But it's not",
"attachments": [],
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},
{
"id": 972905507650154600,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:59:08",
"content": "rectang;e?",
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},
{
"id": 972905525777944600,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:59:13",
"content": "rectangle?",
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},
{
"id": 972905552025878700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 12:59:19",
"content": "Look at the prism, what shapes are involved?",
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},
{
"id": 972905613094948900,
"author_id": 938959679730647000,
"author_name": "beato",
"timestamp": "05/08/2022 12:59:33",
"content": "rectangle and right or left triangle",
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},
{
"id": 972905718640422900,
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"content": "How many triangles and rectangles?",
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"content": "Not exactly",
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"content": "Start with the triangle, how many are there?",
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"content": "Point them out",
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"content": "2",
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"content": "top and bottom",
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"timestamp": "05/08/2022 13:01:46",
"content": "Now the rectangle, how many are there?",
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"timestamp": "05/08/2022 13:01:53",
"content": "And where are they located?",
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"timestamp": "05/08/2022 13:01:58",
"content": "on the side",
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"timestamp": "05/08/2022 13:02:26",
"content": "Not two, look again",
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"timestamp": "05/08/2022 13:02:31",
"content": "1",
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"timestamp": "05/08/2022 13:02:38",
"content": "How many rectangles can you see?",
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"content": "No",
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"content": "Yes",
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"timestamp": "05/08/2022 13:03:18",
"content": "Now you need to find the areas of the shapes, you just identified",
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"content": "how",
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"content": "Do you know how to find the area of a triangle?",
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"content": "no",
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"content": "What about area of a rectangle?",
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"content": "no",
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"timestamp": "05/08/2022 13:04:29",
"content": "Then you should look into that",
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"timestamp": "05/08/2022 13:05:03",
"content": "If you don't know how to find the area of a triangle or rectangle, you are lacking prior knowledge that is needed",
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"timestamp": "05/08/2022 13:05:03",
"content": "0.5 x b x h",
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"timestamp": "05/08/2022 13:05:19",
"content": "What is this formula for?",
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"timestamp": "05/08/2022 13:05:34",
"content": "triangle",
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"timestamp": "05/08/2022 13:05:35",
"content": "nab",
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"author_name": "dldh06",
"timestamp": "05/08/2022 13:06:21",
"content": "What are the values for base and height for the triangle?",
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"timestamp": "05/08/2022 13:07:46",
"content": "1/2 base x height?",
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"content": "Yes that's the formula",
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"author_name": "dldh06",
"timestamp": "05/08/2022 13:08:16",
"content": "I'm asking you what are the values for the base of the triangle and the height?",
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"timestamp": "05/08/2022 13:08:26",
"content": "idk",
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"author_name": "dldh06",
"timestamp": "05/08/2022 13:08:52",
"content": "Look at the diagram, what values are used to label the triangle?",
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"id": 972908100023640200,
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"timestamp": "05/08/2022 13:09:26",
"content": "5ft 8ft 6ft 7.8ft",
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"timestamp": "05/08/2022 13:09:36",
"content": "for surface area",
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"timestamp": "05/08/2022 13:09:47",
"content": "Which values are for the triangle?",
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"timestamp": "05/08/2022 13:10:06",
"content": "5ft and 6 ft and 7.8ft",
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"timestamp": "05/08/2022 13:10:33",
"content": "No",
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"timestamp": "05/08/2022 13:11:10",
"content": "You identified there are two triangles, top and bottom",
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"author_name": "dldh06",
"timestamp": "05/08/2022 13:11:33",
"content": "What are the values that are lined up with the top and bottom?",
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"content": "5 ft",
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"timestamp": "05/08/2022 13:13:29",
"content": "What other values are lined up with the triangle",
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"timestamp": "05/08/2022 13:13:41",
"content": "6 ft",
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"timestamp": "05/08/2022 13:13:42",
"content": "and",
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"timestamp": "05/08/2022 13:13:45",
"content": "7.8 ft",
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"timestamp": "05/08/2022 13:14:51",
"content": "is the answer 180.4",
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"timestamp": "05/08/2022 13:15:02",
"content": "Sure",
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"id": 972909524988088300,
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"timestamp": "05/08/2022 13:15:06",
"content": "wat",
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"id": 972909585881002100,
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"author_name": "beato",
"timestamp": "05/08/2022 13:15:21",
"content": "did i get the lining up correct",
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},
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"id": 972909913040883800,
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"content": "?",
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"content": "bu",
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"id": 972912195946029000,
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"timestamp": "05/08/2022 13:25:43",
"content": "https://www.youtube.com/watch?v=918qWRjICbs&ab_channel=MathwithMr.J",
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"id": 972912203000852500,
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"timestamp": "05/08/2022 13:25:45",
"content": "Here",
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"id": 972912317337600100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 13:26:12",
"content": "And here\nhttps://www.youtube.com/watch?v=sxt4OPZ7Urs&ab_channel=MooMooMathandScience",
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},
{
"id": 972914805507764200,
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 13:36:05",
"content": "@beato Has your question been resolved?",
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},
{
"id": 972918581782265900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 13:51:05",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7b46ede2238541189c33c96b0e748c4d
|
199,800 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 13:52:06",
"content": "Available help channel!",
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},
{
"id": 972919632958742700,
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"content": "This should be easy but i cant solve this",
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"content": "Help me",
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},
{
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"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "05/08/2022 13:57:46",
"content": "$2^{a} \\times 2^{b} = 2^{a + b}$",
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{
"id": 972920332702847100,
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"timestamp": "05/08/2022 13:58:03",
"content": "**kinglacto**",
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"content": "Ohh",
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"id": 972920581672554500,
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"content": "Got it",
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"timestamp": "05/08/2022 13:59:12",
"content": "I should make 255 as a power of 2",
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"timestamp": "05/08/2022 13:59:20",
"content": "Thanks man s",
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"content": "Can't.",
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"content": "Why",
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"timestamp": "05/08/2022 13:59:39",
"content": "I mean you can.",
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"content": "It should be 256 i think",
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:00:04",
"content": "$2^{n + \\(-1\\)} = 2^{n} \\times 2^{-1}$",
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"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/08/2022 14:00:04",
"content": "And why not 255??",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 14:00:06",
"content": "**kinglacto**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:00:12",
"content": "do you understand this?",
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"timestamp": "05/08/2022 14:00:21",
"content": "2^8 = 256",
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:00:30",
"content": "So?",
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{
"id": 972920967208779800,
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:00:34",
"content": "you mean theres an error in the question?",
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"timestamp": "05/08/2022 14:00:35",
"content": "Um wait",
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"timestamp": "05/08/2022 14:00:37",
"content": "It can be 255 also.",
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"id": 972921029024432100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/08/2022 14:00:49",
"content": "But I suppose you should clear what it is.",
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"id": 972921042613989500,
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"timestamp": "05/08/2022 14:00:52",
"content": "255 or 256.",
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"id": 972921055926714500,
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:00:55",
"content": "And then proceed.",
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"id": 972921075040145400,
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"author_name": "regit",
"timestamp": "05/08/2022 14:01:00",
"content": "255 is in the question",
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:01:05",
"content": "Are you sure?",
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"id": 972921148864077800,
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"author_name": "regit",
"timestamp": "05/08/2022 14:01:17",
"content": "Yep",
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"timestamp": "05/08/2022 14:02:04",
"content": "Okay.",
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"author_name": "regit",
"timestamp": "05/08/2022 14:02:09",
"content": "How that 2^n+-1 came there :whycat:",
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"timestamp": "05/08/2022 14:02:32",
"content": "There's parenthesis too.",
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"id": 972921601353973800,
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:03:05",
"content": "yeah 😅",
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"author_name": "regit",
"timestamp": "05/08/2022 14:03:19",
"content": "Well i didnt understand that",
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"author_name": "regit",
"timestamp": "05/08/2022 14:03:28",
"content": "But i know that the answer should be a whole number",
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:03:37",
"content": "Then there's no way it's 255.",
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"timestamp": "05/08/2022 14:03:42",
"content": "It's 256 then.",
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"id": 972921768530546700,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:03:45",
"content": "If its 255 do we get a whole number answer?",
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"id": 972921789812473900,
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:03:50",
"content": "255 gives answer, but not a whole number.",
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:03:52",
"content": "no",
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"timestamp": "05/08/2022 14:03:54",
"content": "Yp thats what i thought",
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"timestamp": "05/08/2022 14:04:23",
"content": "There should be a whole number answer, that's new after all.",
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"timestamp": "05/08/2022 14:04:25",
"content": "If its 255 how to solve that :whycat:",
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"id": 972922070356869100,
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"author_name": "kinglacto",
"timestamp": "05/08/2022 14:04:57",
"content": "logs",
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},
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"id": 972922103160537100,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:05:05",
"content": "Ohh",
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"id": 972922152347115500,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:05:17",
"content": "Alright then its a problem in the question",
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},
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"id": 972922198836781200,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:05:28",
"content": "Its a 2 mark question",
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},
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"id": 972922243879411800,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:05:38",
"content": "So no logs",
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},
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"id": 972922277547110400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/08/2022 14:05:46",
"content": "For 255 you leave the answer in terms of logarithm, yes.",
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"id": 972922326268141700,
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"author_name": "regit",
"timestamp": "05/08/2022 14:05:58",
"content": "I see",
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"author_name": "regit",
"timestamp": "05/08/2022 14:06:01",
"content": "Alright then",
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},
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"id": 972922346920898600,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:06:03",
"content": "Thank youu",
"attachments": [],
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},
{
"id": 972922380534030300,
"author_id": 575974715018182660,
"author_name": "regit",
"timestamp": "05/08/2022 14:06:11",
"content": "@Yours truly @kinglacto",
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"author_name": "Yours truly",
"timestamp": "05/08/2022 14:06:19",
"content": "You're welcome!",
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},
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"id": 972922453271654500,
"author_id": 575974715018182660,
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"timestamp": "05/08/2022 14:06:28",
"content": ".close",
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},
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"author_id": 805217272087838700,
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"timestamp": "05/08/2022 14:06:29",
"content": "Channel closed",
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}
] |
help-9
|
7f088aa3de614025b921e0588f003f43
|
199,801 |
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 14:19:43",
"content": "Available help channel!",
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},
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"id": 972926302489280500,
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"author_name": "Maxaco",
"timestamp": "05/08/2022 14:21:46",
"content": "hi",
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},
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"timestamp": "05/08/2022 14:21:47",
"content": "Pinned a message.",
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"timestamp": "05/08/2022 14:23:23",
"content": "what do u need help",
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},
{
"id": 972927040850387000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 14:24:42",
"content": "this question",
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},
{
"id": 972927042133831800,
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"content": "",
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"timestamp": "05/08/2022 14:26:01",
"content": "show me ur work",
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},
{
"id": 972927424016834600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 14:26:14",
"content": "idk where to start tbh lol",
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"id": 972927466983264400,
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"timestamp": "05/08/2022 14:26:24",
"content": "i thought about 25 / 1.2",
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"id": 972927484301553700,
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"timestamp": "05/08/2022 14:26:28",
"content": "1.25*",
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"id": 972927490819489800,
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"timestamp": "05/08/2022 14:26:29",
"content": "but that wont work",
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"author_name": "emmAduh",
"timestamp": "05/08/2022 14:28:34",
"content": "did u try rule of threes",
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"author_id": 692755850455941100,
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"content": "?",
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"timestamp": "05/08/2022 14:29:25",
"content": "why that wont work?",
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"timestamp": "05/08/2022 14:30:32",
"content": "cuz its nto linear",
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"id": 972930068114444400,
"author_id": 266000102819102720,
"author_name": "dark knight",
"timestamp": "05/08/2022 14:36:44",
"content": "~~the goal is to find the unknown quadratic function y(x), yes?~~",
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"id": 972930256895885400,
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"timestamp": "05/08/2022 14:37:29",
"content": "~~we know that the maximum height is reached at y = 25 at x = 1.25~~",
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"timestamp": "05/08/2022 14:37:39",
"content": "And maximum is at vertex.",
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"timestamp": "05/08/2022 14:38:01",
"content": "~~you can use this to find the derivative~~",
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"id": 972930494570324100,
"author_id": 266000102819102720,
"author_name": "dark knight",
"timestamp": "05/08/2022 14:38:26",
"content": "~~d/dx = 0 at x = 1.25~~",
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"id": 972930969944338400,
"author_id": 266000102819102720,
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"timestamp": "05/08/2022 14:40:19",
"content": "~~since the y is quadratic, the derivative will be a linear function~~",
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"timestamp": "05/08/2022 14:41:25",
"content": "derivative...",
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},
{
"id": 972931372274553000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 14:41:55",
"content": "whats the final answer",
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},
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"id": 972931391018893400,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 14:41:59",
"content": "just os i can see if i got it right",
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},
{
"id": 972934011871699000,
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"timestamp": "05/08/2022 14:52:24",
"content": "sorry, forget what i said earlier. it doesnt work",
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},
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"id": 972934240884895900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 14:53:19",
"content": "Use your vertex form",
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"timestamp": "05/08/2022 14:58:19",
"content": "@Maxaco Has your question been resolved?",
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"timestamp": "05/08/2022 15:00:47",
"content": "I can't use vertex form",
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{
"id": 972936130859237400,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:00:49",
"content": "It don't work",
"attachments": [],
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},
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"id": 972937904559095800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:07:52",
"content": "Not even the 32 in/s form?",
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"timestamp": "05/08/2022 15:08:07",
"content": "No",
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"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:08:12",
"content": "Idk then",
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"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:08:22",
"content": "It should work with vertex form",
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"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:08:31",
"content": "I don't think the question is possible to solve lol",
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"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:08:33",
"content": "If you use -32 as a coefficient for inches",
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"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:08:55",
"content": "Why incg",
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"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:09:00",
"content": "Inxh*",
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"id": 972938200270118900,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:09:03",
"content": "Inch*",
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"id": 972938247326036100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:14",
"content": "Actually it is",
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"id": 972938289386520600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:24",
"content": "It guess it isn't very realistic",
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"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:30",
"content": "I meant feet",
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"author_name": "Maxaco",
"timestamp": "05/08/2022 15:09:40",
"content": "Why - 32 feet xD",
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"id": 972938392205656000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:49",
"content": "-9.8 meters goes to -32 feet",
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"id": 972938398996238500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:50",
"content": "Physics shit",
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"id": 972938421460942800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:55",
"content": "But this doesn't seem to work for this so",
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"id": 972938433750253600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:09:58",
"content": "We have",
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"id": 972938490037821600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:12",
"content": "Na stop",
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"id": 972938505216999400,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:15",
"content": "Wiht the physics lol",
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"id": 972938511030317000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:10:17",
"content": "$y = a(x-1.25)^2 + 25$",
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"id": 972938512808693900,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:17",
"content": "It's math",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:10:22",
"content": "Physics is math",
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"id": 972938544450519000,
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"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:10:25",
"content": "And damn I fucked up",
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"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:33",
"content": "Ye but math ain't physics",
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"id": 972938590004858900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 15:10:36",
"content": "**Umbraleviathan**",
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"id": 972938613379702800,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:41",
"content": "XF",
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"id": 972938620052844500,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:43",
"content": "XD",
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"id": 972938634514800600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:46",
"content": "K I got that part",
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"id": 972938642844680200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:10:48",
"content": "You have (0, 0) is a point",
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"id": 972938666794180600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:10:54",
"content": "Since the axis of symmetry would be thst",
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"id": 972938678269771900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:10:57",
"content": "So just plug in 0 in for x and y",
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},
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"id": 972938690261307500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:11:00",
"content": "Solve for a",
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"id": 972938712788918300,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:11:05",
"content": "Oh",
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"id": 972938977067827200,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:12:08",
"content": "A would be - 16",
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"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:12:23",
"content": "Makes sense now",
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},
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"id": 972939045237833700,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:12:24",
"content": "Thanks",
"attachments": [],
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},
{
"id": 972939181108113400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:12:57",
"content": "Yeah",
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"id": 972939204290039800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:13:02",
"content": "Oh and funny thing",
"attachments": [],
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},
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"id": 972939276037812200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:13:19",
"content": "That's also a number in physics",
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"id": 972939284233482200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/08/2022 15:13:21",
"content": "Have fun lol",
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},
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"id": 972939472402534500,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:14:06",
"content": "Wdym",
"attachments": [],
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},
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"id": 972939539800809600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/08/2022 15:14:22",
"content": "It worked the physics way",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 15:44:22",
"content": "@Maxaco Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 16:14:23",
"content": "Channel closed",
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}
] |
help-9
|
268f0f3548244742b35e0d503ae281c4
|
199,802 |
[
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"id": 972959591300210700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 16:34:03",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 972962115969224700,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "05/08/2022 16:44:05",
"content": "Can someone help with this",
"attachments": [
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 16:44:05",
"content": "Pinned a message.",
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}
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{
"id": 972962268914528400,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/08/2022 16:44:41",
"content": "PMI is induction right?",
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},
{
"id": 972962288258666500,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "05/08/2022 16:44:46",
"content": "yes",
"attachments": [],
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},
{
"id": 972962527241724000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/08/2022 16:45:43",
"content": "check for n = 1, then assume n = k and prove n = k + 1 works",
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},
{
"id": 972962557352612000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/08/2022 16:45:50",
"content": "I guess you already know that but yeah",
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},
{
"id": 972963066113323000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "05/08/2022 16:47:51",
"content": "3^(k + 1) >= 1 + 2^(k + 1)\n3\\*3^k >= 1 + 2\\*2^k\n\nwe know 3^k >= 1 + 2^k\n3*3^k >= 3 + 3\\*2^k > 1 + 2^k\nI think this should work?",
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"id": 972963265783136300,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "05/08/2022 16:48:39",
"content": "Ohh yes thats genius thank you!",
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},
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"id": 972964175666090100,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "05/08/2022 16:52:16",
"content": "oh wait but shouldn't it be 1 + 2^k+1. Do we know if 3+3*2^k > 1 + 2^k+1?",
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"id": 972964725086371800,
"author_id": 964997553789755400,
"author_name": "99Overall",
"timestamp": "05/08/2022 16:54:27",
"content": ".close",
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},
{
"id": 972964727225479200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 16:54:27",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
37a3385bfd34489da5634d76d6082a4c
|
199,803 |
[
{
"id": 972964980859220000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 16:55:28",
"content": "Available help channel!",
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},
{
"id": 972969534598303700,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:13:33",
"content": "anyone able to help me understand this? I just want to know to what limit the sum in the brackets runs to so i can play a little with it\nboth sums are from an abelian Ring congugating t written as as R[t]",
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"timestamp": "05/08/2022 17:13:34",
"content": "Pinned a message.",
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"id": 972969577770258400,
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"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:13:44",
"content": "",
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{
"id": 972972397189791700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:24:56",
"content": "What are you confused about? It's just all i,j such that i+j=k",
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},
{
"id": 972972533559201800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:25:28",
"content": "This is the usual way you do and think about polynomial multiplication",
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},
{
"id": 972972598503800800,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:25:44",
"content": "the limit of the sum",
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},
{
"id": 972972681576190100,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:26:04",
"content": "is the limit within the brackets i+j=k and they still start at 0?",
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},
{
"id": 972972913668005900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:26:59",
"content": "There's no limits, there's two indexing variables, it's all i,j whose sum is k",
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},
{
"id": 972973116370321400,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:27:47",
"content": "uhm 💀",
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},
{
"id": 972973223086014600,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:28:13",
"content": "so k is always equal to the sum of these 2?",
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},
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"id": 972973809411960800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:30:33",
"content": "Just think about what you do when you times two polynomials",
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},
{
"id": 972973988865273900,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:31:15",
"content": "I would do it for each variable",
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},
{
"id": 972974038244810800,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:31:27",
"content": "but k would be always equal to i and j",
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},
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"id": 972974722746826800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:34:10",
"content": "The coefficient of t^k on the RHS is always going to be the sum of the product of coefficients on the LHS who are attached to t^i and t^j such that i+j=k",
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"id": 972975111734972500,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:35:43",
"content": "wait because\nt^(i) * t^(j) = t^(i+j)",
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"id": 972975216307355800,
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"timestamp": "05/08/2022 17:36:08",
"content": "Yes",
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},
{
"id": 972975294250119200,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:36:27",
"content": "but that still doesnt tell me the upper limit within the sum?",
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},
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"id": 972975338252538000,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:36:37",
"content": "or does it just run until the outer sum is done?",
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},
{
"id": 972975381906870300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:36:48",
"content": "There is no upper limit!!",
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},
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"id": 972975454782885900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:37:05",
"content": "For each fixed k you just run over the i and j that sum to k",
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},
{
"id": 972975694114091000,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:38:02",
"content": "so the outer sum goes \"first\" then I run for that k the inner sum and so on for all k's until I reach n+m",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972975769242439700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/08/2022 17:38:20",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972975945982042100,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:39:02",
"content": "okay thanks 💖",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972975957256323100,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "05/08/2022 17:39:05",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972975958913065100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 17:39:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
deda1671361e4e11b1f046ba7eb4c7f5
|
199,804 |
[
{
"id": 972976211817038000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 17:40:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972977514911764500,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 17:45:16",
"content": "Can anyone explain me the nth Roots of a complex number pls, I don't understand it. i (think) have to use it for this",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/972977514140016690/unknown.png",
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"id": 972977516874707000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 17:45:17",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 972977514911764500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972979936002441200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 17:54:53",
"content": "Any method in particular to use?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972980634198892700,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 17:57:40",
"content": "I watched a video in English and understood it easier. thx anyways",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972980642646212600,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 17:57:42",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972980644453949400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 17:57:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
491da5f50afb46d9b23deda1eb33cf84
|
199,805 |
[
{
"id": 972980897278201900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 17:58:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972981450095874000,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 18:00:54",
"content": "well i think i did't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972981453359050900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 18:00:55",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 972981450095874000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972981968574746600,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 18:02:58",
"content": "i got this",
"attachments": [
{
"id": 972981967933034600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972981967933034596/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 49293
}
],
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},
{
"id": 972982115828375600,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 18:03:33",
"content": "but i got 1+0i",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972985891511476200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 18:18:33",
"content": "@Vicoo Has your question been resolved?",
"attachments": [],
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{
"id": 273117452076843000,
"name": "Vicoo",
"discriminator": "7314",
"nickname": "Vicoo",
"isBot": false
}
],
"reference": null
},
{
"id": 972988695584047100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 18:29:42",
"content": "Okay so you are using Demoivre's",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972988894326980600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 18:30:29",
"content": "z² = i\nz² = cos(π/2 + 2πk) + isin(π/2 + 2πk)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972988947464609800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 18:30:42",
"content": "With me up to here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972992446126514300,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 18:44:36",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972992564615585800,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 18:45:04",
"content": "ping me if you answer so that I can hear the discord pls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972996930231763000,
"author_id": 273117452076843000,
"author_name": "Vicoo",
"timestamp": "05/08/2022 19:02:25",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972996931884286100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 19:02:25",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e9f6895d9c4341598f2ce001f65c2f9a
|
199,806 |
[
{
"id": 972997184297517000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 19:03:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972999731301199900,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:13:33",
"content": "can someone please help me go about solving this problem please?",
"attachments": [
{
"id": 972999730705621100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972999730705621072/unknown.png",
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{
"id": 972999733008285800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 19:13:33",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 972999731301199900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 972999885588676600,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/08/2022 19:14:10",
"content": "Did you set up the taylor series",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972999924025282700,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:14:19",
"content": "im trying to use lagrange error formula",
"attachments": [],
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"reference": null
},
{
"id": 972999983701844100,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:14:33",
"content": "",
"attachments": [
{
"id": 972999983085289500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972999983085289472/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 18997
}
],
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},
{
"id": 973000034712977400,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "05/08/2022 19:14:45",
"content": "I hated this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000049346879500,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:14:49",
"content": "yes!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000063305515000,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:14:52",
"content": "me too!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000176820179000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:15:19",
"content": "That's a really good picture for that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000258105770000,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:15:39",
"content": "is it actually?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000367262539800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:16:05",
"content": "Anyway you see the error on the right there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000473034502100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:16:30",
"content": "We want max|f^(n+1)(z)|",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000607503908900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:17:02",
"content": "What's the (n+1)th derivative of f?",
"attachments": [],
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"reference": null
},
{
"id": 973000823619596300,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:17:53",
"content": "1/x, right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000934034669700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:18:20",
"content": "That's the first derivative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000961377308700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:18:26",
"content": "What's the (n+1)th?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973000970390880400,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:18:28",
"content": "oh so it would be -1/x^2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001038984515600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:18:45",
"content": "That's the second derivative, lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001070571831300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:18:52",
"content": "What's the (n+1)th?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001215745085400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:19:27",
"content": "Taking the first few derivatives can be helpful to see the pattern",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001216038666400,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:19:27",
"content": "(-1)^x-1 *1/(x^n)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001429201600500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:20:18",
"content": "Close! However the pattern falls off.\nThird derivative: 2/x³\nFourth derivative: -(2)(3)/x⁴",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001709708279800,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:21:25",
"content": "oh man this is is disgusting and im afraid to type it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001735436128300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:21:31",
"content": "Fifth derivative: (2)(3)(4)/x⁵",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001747847065700,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:21:34",
"content": "is it (x-1)! in the numerator?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001801039245300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:21:46",
"content": "(n-1)! yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001826997780500,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:21:53",
"content": "i hate that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001836971823200,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:21:55",
"content": "that makes me sad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001863542739000,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:22:01",
"content": "but okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001869444132900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:22:03",
"content": "Lol it simplifies really nicely",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973001886221357000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:22:07",
"content": "You'll see!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002014009208800,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:22:37",
"content": "so what do i do next?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002357581447200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:23:59",
"content": "So in total, the (n+1)th derivative is:\n(-1)^n • n! / x^(n+1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002424040169500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:24:15",
"content": "I think, haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002497943810000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:24:33",
"content": "Check that, I could be wrong. These patterns are sometimes difficult to collect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002585017573400,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:24:53",
"content": "im really sorry, but in the problem it tells you it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002588842770600,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:24:54",
"content": "",
"attachments": [
{
"id": 973002588251377800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/973002588251377734/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 7711
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},
{
"id": 973002608245628900,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:24:59",
"content": "i just saw that for some reason",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002633545646100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:25:05",
"content": "*lol*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002640503996400,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:25:07",
"content": "sometimes i can be highly illiterate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002680584765400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:25:16",
"content": "Alright so it does all the hard work for us, that's pretty cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002707138904200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:25:22",
"content": "Still important to get the practice in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973002760918286300,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:25:35",
"content": "okay but after getting the pattern down, then what do you do?",
"attachments": [],
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"reference": null
},
{
"id": 973002928988254200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:26:15",
"content": "We want the maximum value of the (n+1)th derivative between x and c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973003023628525600,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:26:38",
"content": "so its going to be the highest for its first derivative, right? Because after that they just get smaller",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973003266101239900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:27:36",
"content": "Not the maximum choice of function given n can change",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973003334623588500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:27:52",
"content": "The maximum value of f^(n+1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973003415200342100,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:28:11",
"content": "wouldnt it be the first derivative?",
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},
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"id": 973003431260340200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:28:15",
"content": "There's an easy answer to this - all of these functions are decreasing",
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},
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"id": 973003497274495100,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:28:31",
"content": "oh so then would it be x=2?",
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},
{
"id": 973003524441010200,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:28:37",
"content": "yay!",
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},
{
"id": 973003553914388500,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:28:44",
"content": "geez this is tricky",
"attachments": [],
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},
{
"id": 973003580879536100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:28:51",
"content": "So no matter what n is, f^(n+1) maxes out at x = 2",
"attachments": [],
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},
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"id": 973003596750807200,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:28:54",
"content": "okay",
"attachments": [],
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},
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"id": 973003681890975700,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:29:15",
"content": "so now i have 2/(x+1)!",
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},
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"id": 973003694687785000,
"author_id": 431982008412012540,
"author_name": "Juandissimo",
"timestamp": "05/08/2022 19:29:18",
"content": "for the formula",
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},
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"id": 973003712081592300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:29:22",
"content": "And so we can finally get our max value:\n(-1)^n • n! / (2)^(n+1)",
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},
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"id": 973003798178058200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:29:43",
"content": "That's our numerator",
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},
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"id": 973003941279326200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:30:17",
"content": "Oh wait, that's an absolute value bar, isn't it?",
"attachments": [],
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},
{
"id": 973004087002038400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:30:51",
"content": "Sorry, then it's actually\nn! / (2)^(n+1)",
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},
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"id": 973004726285242400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/08/2022 19:33:24",
"content": "Plug that in, and in total we get a max error of:\n(0.5)^(n+1) / (n+1)(2)^(n+1)",
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},
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"id": 973004840328364000,
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"author_name": "Kaynex",
"timestamp": "05/08/2022 19:33:51",
"content": "This decreases exponentially with n",
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},
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"id": 973007470551248900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 19:44:18",
"content": "@Juandissimo Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 19:59:18",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fa0958f5543248f49db978b631f7ffa4
|
199,807 |
[
{
"id": 973011498941186000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:00:19",
"content": "Available help channel!",
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},
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"id": 973011821646725100,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:01:35",
"content": "Hi, I would like to know what \"a≡b[n]\" exactly means",
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},
{
"id": 973011823714504800,
"author_id": 805217272087838700,
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"timestamp": "05/08/2022 20:01:36",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"id": 973012071463665700,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:02:35",
"content": "I know somehow that if a=k•n+r\nAnd b=y•n+r\nThen a≡b[n]",
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},
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"id": 973012349223047200,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:03:41",
"content": "But there's a rule saying that if a≡b[n] then b≡a[n] and a-b≡[n]",
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},
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"id": 973012393355530200,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:03:52",
"content": "Which I really don't get the point of it..",
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},
{
"id": 973012397537251500,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:03:53",
"content": "So",
"attachments": [],
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},
{
"id": 973012453095006200,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:04:06",
"content": "What is the \"≡\" exactly?",
"attachments": [],
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"reference": null
},
{
"id": 973013234791632900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 20:07:12",
"content": "**giannis\\_money**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/973013234909085736/859166603114315796.png",
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"id": 973013419819163600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/08/2022 20:07:57",
"content": "**giannis\\_money**",
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"id": 973013515008876700,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:08:19",
"content": "Then what does a-b≡0[n] mean?",
"attachments": [],
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"id": 973013601679999000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:08:40",
"content": "what do you think",
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},
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"id": 973013629454680000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:08:46",
"content": "use this",
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"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:08:52",
"content": "I have no idea",
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"id": 973013696303464400,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:09:02",
"content": "Alr",
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},
{
"id": 973013739890679800,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:09:13",
"content": "0 has no reminder I believe",
"attachments": [],
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},
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"id": 973013747889238000,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:09:15",
"content": "So",
"attachments": [],
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},
{
"id": 973013855129182300,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:09:40",
"content": "It supposed to be a number that devides completely on n",
"attachments": [],
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},
{
"id": 973013917158744000,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:09:55",
"content": "Leaving no remainer ?",
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},
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"id": 973013923756392400,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:09:57",
"content": "yes so when 0 is divided by n, the remainder is 0",
"attachments": [],
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},
{
"id": 973013976331976800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:10:09",
"content": "yes so a-b leaves a remainder of 0 when divided by n",
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"id": 973013976642359300,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:10:09",
"content": "Oh",
"attachments": [],
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"id": 973014020271513600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:10:20",
"content": "meaning that a-b is a multiple of n",
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"id": 973014169265791100,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:10:55",
"content": "I believe I understand it now",
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},
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"id": 973014190186979300,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:11:00",
"content": "Thank you so much mate",
"attachments": [],
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},
{
"id": 973014208520273900,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "05/08/2022 20:11:05",
"content": "np",
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},
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"id": 973014244792614900,
"author_id": 716753230280917100,
"author_name": "Cepicvictor",
"timestamp": "05/08/2022 20:11:13",
"content": ".close",
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},
{
"id": 973014246768124000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:11:14",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3ab69f094fba4ff48252ce9f4334d001
|
199,808 |
[
{
"id": 973014499105857500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:12:14",
"content": "Available help channel!",
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},
{
"id": 973015474382192600,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/08/2022 20:16:06",
"content": "this would be a binomial distibution right ?",
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"timestamp": "05/08/2022 20:16:07",
"content": "Pinned a message.",
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"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/08/2022 20:16:21",
"content": "only thing i need to know",
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"id": 973015649725059100,
"author_id": 356908116429897700,
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"timestamp": "05/08/2022 20:16:48",
"content": "Yes",
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"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/08/2022 20:16:53",
"content": "thanks!",
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},
{
"id": 973015675410980900,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/08/2022 20:16:54",
"content": ".close",
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},
{
"id": 973015676858032100,
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:16:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c44d5c1db2344550bc5b99a0ed642105
|
199,809 |
[
{
"id": 956615868039696400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 14:09:56",
"content": "Available help channel!",
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},
{
"id": 956620272033726500,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:27:25",
"content": "i need help",
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},
{
"id": 956620275166892000,
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:27:43",
"content": "i get A but i dont understand B",
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"id": 956621085292519400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/24/2022 14:30:39",
"content": "out of 540 rolls, _on average_ how many would be snake eyes?",
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"timestamp": "03/24/2022 14:32:06",
"content": "im sorry what",
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},
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"id": 956622520042270700,
"author_id": 898441976142237800,
"author_name": "Hyperlix",
"timestamp": "03/24/2022 14:36:21",
"content": "snakes have 2 eyes",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:36:58",
"content": "can you plz go over to the other 7r0lma5t3r thing i finished this one",
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"timestamp": "03/24/2022 14:37:27",
"content": "close this",
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"timestamp": "03/24/2022 14:37:31",
"content": ".close",
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"id": 956622815493226500,
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"timestamp": "03/24/2022 14:37:32",
"content": "Channel closed",
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}
] |
help-9
|
4ec94b9ee20e4e66be75ea6f5643fcfc
|
199,810 |
[
{
"id": 973018000506630100,
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"timestamp": "05/08/2022 20:26:09",
"content": "Available help channel!",
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{
"id": 973020204340748300,
"author_id": 130019559196459000,
"author_name": "srsqtee",
"timestamp": "05/08/2022 20:34:54",
"content": "If I have a few given points on a 2D plane, is there an algorithm / formula to draw a circle such that the given points are as close to the perimeter as possible?",
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"author_name": "srsqtee",
"timestamp": "05/08/2022 20:40:09",
"content": "Would this be equivalent to asking if there's a formula of a circle that passes through as many of the points as possible?",
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"author_name": "giannis_money",
"timestamp": "05/08/2022 20:42:23",
"content": "for this, you could create a function which you want to minimise",
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"timestamp": "05/08/2022 20:42:54",
"content": "to make a circle you have 3 parameters, the x,y coordinates and the radius",
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"author_name": "giannis_money",
"timestamp": "05/08/2022 20:43:09",
"content": "so 3 degrees of freedom for creating a circle on a plane",
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"id": 973022418757120000,
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"timestamp": "05/08/2022 20:43:42",
"content": "you would have to be more precise with \"as close to the perimeter as possible\"",
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"author_name": "giannis_money",
"timestamp": "05/08/2022 20:44:12",
"content": "if that means the sum of the perpendicular distance from each point to the circle is minimised",
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"timestamp": "05/08/2022 20:44:39",
"content": "this seems like a harder question",
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"timestamp": "05/08/2022 20:44:51",
"content": "Ah ok I see what you're saying",
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"timestamp": "05/08/2022 20:44:59",
"content": "I think that second question makes more sense though",
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"timestamp": "05/08/2022 20:46:01",
"content": "In fact I might've just found a better solution to the problem I'm trying to solve with the \"Smallest-circle problem\"",
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"timestamp": "05/08/2022 20:46:09",
"content": "thanks giannis, I'll close this",
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"id": 973023041737076700,
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"timestamp": "05/08/2022 20:46:11",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:46:11",
"content": "Channel closed",
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}
] |
help-9
|
87d436a300fd4547b6e2047ba8dc6c0e
|
199,811 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 20:47:11",
"content": "Available help channel!",
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},
{
"id": 973024805085388900,
"author_id": 334860128022954000,
"author_name": "fayed",
"timestamp": "05/08/2022 20:53:11",
"content": "I have to be able to do this problem with no calculator at all (ignore the procedure unless needed) but how can I do this?",
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"timestamp": "05/08/2022 20:53:12",
"content": "Pinned a message.",
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{
"id": 973025199349968900,
"author_id": 334860128022954000,
"author_name": "fayed",
"timestamp": "05/08/2022 20:54:45",
"content": "I have watched many videos but none have used methods that dont use calculators, cause even 239^3 or 239^4 is very intensive",
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"id": 973025615349448800,
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"timestamp": "05/08/2022 20:56:24",
"content": "@Helpers",
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},
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"id": 973026476448428000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/08/2022 20:59:49",
"content": "You have to wait at least 15 minutes before pinging helpers",
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"content": "ntoed",
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"timestamp": "05/08/2022 21:15:24",
"content": "@fayed Has your question been resolved?",
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"timestamp": "05/08/2022 21:47:21",
"content": "@fayed Has your question been resolved?",
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"author_name": "Джек",
"timestamp": "05/08/2022 23:06:53",
"content": "llooolllololol",
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"author_name": "Mathematics Bot",
"timestamp": "05/08/2022 23:26:53",
"content": "@fayed Has your question been resolved?",
"attachments": [],
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"timestamp": "05/09/2022 00:26:53",
"content": "Channel closed",
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] |
help-9
|
1583f305986345389d68bc92e48e35dc
|
199,812 |
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"timestamp": "05/09/2022 00:27:54",
"content": "Available help channel!",
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{
"id": 973080143620866000,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/09/2022 00:33:05",
"content": "guys can someone help me understand how to solve this",
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"content": "Pinned a message.",
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"id": 973081054510452700,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/09/2022 00:36:42",
"content": "for a) George needed a b^2 factor to get his common denominator with both of the other 2",
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"id": 973081540647088100,
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"author_name": "Sooshon",
"timestamp": "05/09/2022 00:38:38",
"content": "but Fiona and Henry only needed a b factor to get a common denominator, so a) is george and with a power of 2",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 00:40:26",
"content": "b) pretty much same story, george, he needed constants as of 10 and 20 with the others respectively to get a common denominator",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 00:41:22",
"content": "simplest common denominator for all 3 is just the lowest common multiple of those 3 quantities: $20a^3b^2$ can divide all the 3 given quantities",
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"timestamp": "05/09/2022 00:41:25",
"content": "**Sooshon**",
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"timestamp": "05/09/2022 00:48:05",
"content": "@Night Wølf Has your question been resolved?",
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"timestamp": "05/09/2022 01:20:06",
"content": "@Night Wølf Has your question been resolved?",
"attachments": [],
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"author_name": "ymme",
"timestamp": "05/09/2022 01:40:18",
"content": "I agree with your assessment.",
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"timestamp": "05/09/2022 01:42:24",
"content": "So George has highest power of 2 and Henry has the highest constant",
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"content": "Channel closed",
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] |
help-9
|
ba614321ea8d489f8dacbfc38bc5c700
|
199,813 |
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 01:50:09",
"content": "hmm",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 01:50:42",
"content": "doesn't george also have the highest constant? we know he has a factor of 5, but henry doesn't since 4 was a high enough constant in the common denominator of him and fiona",
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"content": "Available help channel!",
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"id": 973100189885825000,
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"author_name": "ymme",
"timestamp": "05/09/2022 01:52:44",
"content": "You could be right, but we have \nGH 20a^3b^2\nFH 4a^3b\nIt looks like H has 20 -it seems.",
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"timestamp": "05/09/2022 01:52:45",
"content": "Pinned a message.",
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"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/09/2022 01:53:18",
"content": "? the constants each of them have in their denominator has to be equal or less to the one in the common denominator with either of the other 2",
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"id": 973100364876382200,
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"timestamp": "05/09/2022 01:53:26",
"content": "so fionas constant <= 4, henrys constant <= 4",
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 01:54:43",
"content": "question is really confusing bruhhh",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 01:54:46",
"content": "i guess \"technically\" this problem doesn't even state they start out with simplified fractions but i assumed that because that would kind of throw the whole thing upside down :\\",
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 01:55:39",
"content": "guys i have another question that i wanna confirm",
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"timestamp": "05/09/2022 01:56:16",
"content": "I was thinking about finding a common denominator. If we had denominators 20, a^3 and b^2, we would have to multiply all three and multiply numerators where it is appropriate The constant 20 must be applied at numerator somewhere..",
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"timestamp": "05/09/2022 01:56:18",
"content": "idk why but i got x = -1",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 01:57:47",
"content": "20 in the common denominator could just be a result of someones denominator having a factor of 5 (george) and another having a factor of 4",
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"id": 973101623725424600,
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 01:58:26",
"content": "guys ?",
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"id": 973101633229701100,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/09/2022 01:58:28",
"content": "F and H have a 4 in their common denominator, so that tells you their constant <= 4, we have a factor of 5 in the other one so george's constant >= 5 (could also be 10)",
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"id": 973101860070260700,
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"author_name": "Sooshon",
"timestamp": "05/09/2022 01:59:22",
"content": "thinking, not sure where to start with that one",
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},
{
"id": 973102056271405000,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:00:09",
"content": "@Helpers",
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},
{
"id": 973102160977985500,
"author_id": 327619896911331300,
"author_name": "Oreo",
"timestamp": "05/09/2022 02:00:34",
"content": "You have to wait at least 15 minutes before pinging helpers",
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{
"id": 973102194989596700,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:00:42",
"content": "oh",
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},
{
"id": 973102241806446600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:00:53",
"content": "sry my mistake 😅",
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},
{
"id": 973102321275924500,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/09/2022 02:01:12",
"content": "write a in terms of b and x",
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{
"id": 973102397570285600,
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:01:30",
"content": "lemme",
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},
{
"id": 973102515472191500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:01:59",
"content": "a=bx?",
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},
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"id": 973102624536662000,
"author_id": 218476117101772800,
"author_name": "Sooshon",
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"content": "that doesn't seem like the right approach to me, unless some miraculous simplifaction occurs",
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"content": "if you end up with an expression in terms of a, b, x that's no better than one in terms of a, b, you can already claim this expression is in terms of x : )",
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"content": "but i might be wrong maybe something happens",
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"content": "In terms of x, I think let a = bx and b = a/x because x = a/b\n(a+b)/(a-b). substitute and you get\n\nbx +a/x at numerator and bx-a/x at denominator. simplify and I got [bx^2+a]/[bx^2-a] I don't know if that is what you're teacher want.",
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"content": "plug it in to (a+b)/(a-b)",
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"content": "oh i did the same and got x=-1",
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"content": "no",
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"content": "and are you sure you gave us the whole statement of the problem?",
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"content": "you'll get $\\frac{bx+b}{bx-b}$",
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"timestamp": "05/09/2022 02:04:43",
"content": "**R31\\_**",
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"timestamp": "05/09/2022 02:04:54",
"content": "and you can cancel out the b's",
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"content": "hmm i got this in middle",
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"timestamp": "05/09/2022 02:05:00",
"content": "ah yeah there you go",
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"content": "did that too",
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"content": "so wait",
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"content": "you'll get $\\frac{x+b}{x-b}$",
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"timestamp": "05/09/2022 02:05:22",
"content": "**Night Wølf**",
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"content": "no",
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"timestamp": "05/09/2022 02:05:30",
"content": "bruh",
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"author_name": "Night Wølf",
"timestamp": "05/09/2022 02:05:32",
"content": "no w",
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"timestamp": "05/09/2022 02:05:32",
"content": "ait",
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"author_name": "Sooshon",
"timestamp": "05/09/2022 02:05:33",
"content": "$\\frac{x+1}{x-1}$",
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"content": "no",
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"timestamp": "05/09/2022 02:05:36",
"content": "yes",
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"timestamp": "05/09/2022 02:05:36",
"content": "**Sooshon**",
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"timestamp": "05/09/2022 02:05:37",
"content": "this",
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"content": "yea",
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"timestamp": "05/09/2022 02:05:49",
"content": "so now you get it in terms of x",
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"timestamp": "05/09/2022 02:06:15",
"content": "oh so i have to just remove those variables and show it in terms of x",
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"content": "yes",
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"timestamp": "05/09/2022 02:06:46",
"content": "you needed to manipulate the expression so that there's only x in it",
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"timestamp": "05/09/2022 02:06:51",
"content": "no other variables",
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"content": "oh",
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"timestamp": "05/09/2022 02:06:56",
"content": "thanks bro",
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"timestamp": "05/09/2022 02:07:03",
"content": "😄",
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"content": "!close",
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"content": "i forgot",
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"content": "someone else opened it",
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help-9
|
0da2a6316ede4fd685c0be3eaa29b38f
|
199,814 |
[
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"timestamp": "05/09/2022 05:02:56",
"content": "I understand how to use newton method. But do not understand how to use radians for the approximations. Also do not understand how it relates to the root of cos(x). \nThanks",
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help-9
|
ed796b077c814e05bc7dbb6bd99da10f
|
199,815 |
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"content": "can someone set the integrals up for me, kinda confused about that",
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"timestamp": "05/09/2022 05:49:37",
"content": "i think R is a cartesian product",
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"timestamp": "05/09/2022 05:50:30",
"content": "oh nvm i just cant read lol",
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"timestamp": "05/09/2022 05:51:39",
"content": "you just use [0,2] as your bounds for x and [0,3] as your bounds for y",
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"timestamp": "05/09/2022 05:53:34",
"content": "oh alright",
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"content": ".close",
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"timestamp": "05/09/2022 05:53:36",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
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db3188202ce542118a4c1a341428feed
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199,816 |
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 05:54:36",
"content": "Available help channel!",
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"timestamp": "05/09/2022 06:09:16",
"content": "Helpp",
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"id": 973166458941091800,
"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:16:04",
"content": "@Helpers",
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"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:19:47",
"content": "You have the rate of change and a 'point' so you can deduce the temperature by finding the definite integral",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:20:03",
"content": "Can u confirm the ans",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:20:07",
"content": "Except it's not really possible to do that integral, hence the graphing calculator",
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"id": 973167562798030800,
"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:20:27",
"content": "Can I show my workings ?",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:20:35",
"content": "Yea",
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"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:20:43",
"content": "Sry",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:20:50",
"content": "It's fine",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:21:27",
"content": "See this is what I have done",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:21:30",
"content": "Is it right ?",
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"id": 973168833957335000,
"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:25:30",
"content": "Are u here ?",
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"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:25:41",
"content": "Btw I have done a mistake in calculating final ans",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:25:46",
"content": "It should be in degree",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:26:59",
"content": "@Helpers :blobcry:",
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"id": 973169691218542600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:28:55",
"content": "Sorry sorry",
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"id": 973169741881548900,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:29:07",
"content": "Why did you divide those two values at the end",
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"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/09/2022 06:30:19",
"content": "To get the value of r(3)",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:30:30",
"content": "So the process is right ?",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:31:40",
"content": "r(3) is the rate of change of the temperature",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:32:08",
"content": "And r(3) was your 'gamma(3)'",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:33:12",
"content": "Is'nt it it's the temperature of room at time 3 hours",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:33:42",
"content": "No it's the rate of change",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:34:10",
"content": "And I'm not really sure where 'gamma(t)' came from, and why it was used twice like that",
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"timestamp": "05/09/2022 06:34:34",
"content": "That's r(t)",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:34:46",
"content": "💀",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:35:24",
"content": "Lmao wow you need to work on your 'r's",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:36:06",
"content": "Anyway you had r(3) before and them came up with another formula which doesn't make much sense to me, and r(3) isn't the temperature",
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"timestamp": "05/09/2022 06:36:08",
"content": "The question tells you to use a graphing calculator and there's a reason for that so I'd probably go with that",
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"timestamp": "05/09/2022 06:36:54",
"content": "So acc to u what's the ans",
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"timestamp": "05/09/2022 06:45:15",
"content": "@Helpers",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:46:36",
"content": "Do you have a graphing calculator",
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"timestamp": "05/09/2022 06:46:47",
"content": "No",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:46:47",
"content": "tbh graphing calculators suck",
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"timestamp": "05/09/2022 06:46:52",
"content": "you only need it during exams",
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"timestamp": "05/09/2022 06:46:55",
"content": "really",
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"id": 973174275446026200,
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:47:07",
"content": "let me see",
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"timestamp": "05/09/2022 06:47:09",
"content": "if i can help",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:47:14",
"content": "Well, you can use an online calculator",
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"timestamp": "05/09/2022 06:47:16",
"content": "Yes pls",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:47:25",
"content": "Idk these thing",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:47:37",
"content": "I can show you what I got, but honestly it took a lot of copying and wolfram alpha",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:47:48",
"content": "Doesn't matter",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:47:55",
"content": "I just want to know the ans and process",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:48:40",
"content": "Can't be 100% sure this is right",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:48:51",
"content": "Umm",
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"timestamp": "05/09/2022 06:49:00",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:49:00",
"content": "There is no one in this server who can do it +_+",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:50:05",
"content": "It should be I followed the steps it's just, the expressions are very long",
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"author_name": "Nilesh",
"timestamp": "05/09/2022 06:50:07",
"content": "I want 100% surity",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:50:24",
"content": "Idk someone else can do it an see if they get the same answer",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:50:47",
"content": "why did i get 144",
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"timestamp": "05/09/2022 06:50:49",
"content": "@@",
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"timestamp": "05/09/2022 06:50:59",
"content": "How did you get 144",
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"timestamp": "05/09/2022 06:51:19",
"content": "idk",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:51:22",
"content": "let me double check my working",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:51:28",
"content": "oh wait",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:52:23",
"content": "r(1)=18=ln2sin1 right",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:52:45",
"content": "and r(3)=2ln2sin4",
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"timestamp": "05/09/2022 06:53:02",
"content": "Sin3",
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"timestamp": "05/09/2022 06:53:15",
"content": "whoops",
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"timestamp": "05/09/2022 06:53:16",
"content": "anyways",
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"timestamp": "05/09/2022 06:53:19",
"content": "I was doing same @dk.dkn said it's not",
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"content": "@dminh~",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:53:29",
"content": "r(3)/r(1)=2ln2sin3/ln2sin1",
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"content": "@dk.dkn",
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"timestamp": "05/09/2022 06:53:56",
"content": "108 deg celcius",
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"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:54:08",
"content": "did you get that as well",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:54:23",
"content": "I'm pretty sure this is not right",
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"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:54:28",
"content": "well then",
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"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:54:32",
"content": "how did u do it",
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},
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:54:34",
"content": "Why would you do r(3)/r(1)",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:54:42",
"content": "I don't understand the thought process",
"attachments": [],
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},
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"id": 973176283842367500,
"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:55:06",
"content": ":OhNo_cat:",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:55:27",
"content": "Can you just justify why you both did that",
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},
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"id": 973176460015697900,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:55:48",
"content": "I mean surely there's a reason",
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},
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"id": 973176676114640900,
"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:56:40",
"content": "i mean",
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"author_id": 548722839767875600,
"author_name": "dminh~",
"timestamp": "05/09/2022 06:56:43",
"content": "is it not correct",
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},
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:56:51",
"content": "No it's not but why",
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},
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:57:37",
"content": "Like why do r(3)/r(1)",
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},
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:57:58",
"content": "why not do r(3)/r(1)",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:58:01",
"content": "what else can you do",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:58:04",
"content": "What",
"attachments": [],
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},
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:58:28",
"content": "What is this logic",
"attachments": [],
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"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:58:36",
"content": "Surely you had a reason??",
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"author_name": "dminh~",
"timestamp": "05/09/2022 06:58:56",
"content": "my logic is simple xd",
"attachments": [],
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"id": 973177286276816900,
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:59:05",
"content": "r(3)/r(1), is simply the ratio of the rate of change at t=3 to t=1",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 06:59:15",
"content": "Why would that help in any way",
"attachments": [],
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},
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 07:00:02",
"content": "I'm so confused as to that logic but anyway",
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"timestamp": "05/09/2022 07:00:54",
"content": "It should be pretty obvious from this that the temperature could not possibly go that high in 2 seconds",
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"timestamp": "05/09/2022 07:01:21",
"content": "We have the *rate* of change of temperature, so we integrate to find an equation for the temperature",
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"timestamp": "05/09/2022 07:01:53",
"content": "yeah but",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 07:01:54",
"content": "We use the boundary condition to find the constant and then substitute in t = 3 to find the temperature at 3 hours",
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"timestamp": "05/09/2022 07:01:57",
"content": "That's what I did",
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"author_name": "dminh~",
"timestamp": "05/09/2022 07:02:01",
"content": "the integration doesnt make sense for me",
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"author_name": "dk.dkn",
"timestamp": "05/09/2022 07:02:04",
"content": "How",
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},
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"id": 973178090039689200,
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"author_name": "dminh~",
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"timestamp": "05/09/2022 07:02:28",
"content": "why cosine and sine integral",
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},
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"id": 973178190010912900,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "05/09/2022 07:02:41",
"content": "Yes I know this is probably why they wanted a graphing calculator to be used",
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},
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"id": 973178224316153900,
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"author_name": "dminh~",
"timestamp": "05/09/2022 07:02:49",
"content": "lmao",
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},
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"id": 973178237331079200,
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"timestamp": "05/09/2022 07:02:52",
"content": "ig",
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"timestamp": "05/09/2022 07:02:53",
"content": "xd",
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 07:08:47",
"content": "@Nilesh Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
3c9bf1e067974b98b821102be2accdfd
|
199,817 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 07:24:47",
"content": "Available help channel!",
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},
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"id": 973185149556621300,
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"timestamp": "05/09/2022 07:30:33",
"content": "i believe that i have done all my work correct but for the critical point (0,0)",
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"id": 973185451156455400,
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"author_name": "flinkolol",
"timestamp": "05/09/2022 07:31:32",
"content": "fxx(0) = 0, but im not sure what that means if its a relative min or max. if D(0,0) < 0 i thought that meant it was neither. but i think i might've done something wrong there?",
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"id": 973185579149820000,
"author_id": 879954225285709800,
"author_name": "flinkolol",
"timestamp": "05/09/2022 07:32:02",
"content": "is (0,0) a min or max?",
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},
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"author_name": "OhGumbus",
"timestamp": "05/09/2022 07:35:40",
"content": "honestly... chuck it into a multivariable graphing calculator 🥸",
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"id": 973186542854086700,
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"author_name": "flinkolol",
"timestamp": "05/09/2022 07:35:52",
"content": "uhhhh",
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"timestamp": "05/09/2022 07:36:11",
"content": "i guess but i got a test in 6 hours lol",
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"timestamp": "05/09/2022 07:37:22",
"content": "@OhGumbus i graphed it and (-1,0) isn't even a point on the graph LOL what have i done",
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"timestamp": "05/09/2022 07:37:52",
"content": "yeah i think you may have messed up your x components...",
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"timestamp": "05/09/2022 07:39:29",
"content": "i think plugging in the x^3 for y may cause some discrepancy for you",
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"author_name": "flinkolol",
"timestamp": "05/09/2022 07:39:44",
"content": "how come?",
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"author_id": 879954225285709800,
"author_name": "flinkolol",
"timestamp": "05/09/2022 07:40:32",
"content": "wait yeah...it should be -1,-1",
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"content": "what have i doneee guess ill fix it one sec xD",
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"timestamp": "05/09/2022 07:42:08",
"content": "@OhGumbus yea that was the problem TY",
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"timestamp": "05/09/2022 07:42:09",
"content": ".close",
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}
] |
help-9
|
b4cb13ff30b042ce8ec9195ba28b7ce6
|
199,818 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 07:43:10",
"content": "Available help channel!",
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},
{
"id": 973189019477360600,
"author_id": 277892135741816830,
"author_name": "Tezeta",
"timestamp": "05/09/2022 07:45:43",
"content": "```There are three crates of lemonade reserved for a children's party. Each crate holds 24 bottles of lemonade. One of the crates has 6 bottles of cola, the other has 8 bottles of cola and the third one has 12 cola's. Liisa's dad picks up a crate and Liisa chooses one of the bottles (randomly). Liisa gets a cola. Find the propability that the father picked up the crate number 1```",
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{
"id": 973189022706987000,
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"timestamp": "05/09/2022 07:45:43",
"content": "Pinned a message.",
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{
"id": 973189340542939100,
"author_id": 277892135741816830,
"author_name": "Tezeta",
"timestamp": "05/09/2022 07:46:59",
"content": "Hi, I'm stuck understanding the formula. So far I've done\nP(For a coke)\n1/3 * 6/24 + 1/3 * 8/24 + 1/3 * 12/24 = 0.3611\nP(Box number 1)\n1/3 * 6/24 = 0.083",
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{
"id": 973189377683505200,
"author_id": 588270618978418700,
"author_name": "OhGumbus",
"timestamp": "05/09/2022 07:47:08",
"content": "is this a probability given some event",
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},
{
"id": 973189474790039600,
"author_id": 588270618978418700,
"author_name": "OhGumbus",
"timestamp": "05/09/2022 07:47:31",
"content": "so do you know the formula for",
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{
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"author_id": 588270618978418700,
"author_name": "OhGumbus",
"timestamp": "05/09/2022 07:47:46",
"content": "$P(E|F)$",
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},
{
"id": 973189548458770400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/09/2022 07:47:49",
"content": "**OhGumbus**",
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"author_name": "Tezeta",
"timestamp": "05/09/2022 07:48:16",
"content": "That looks cool but I do not understand it",
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},
{
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"author_name": "Tezeta",
"timestamp": "05/09/2022 07:48:32",
"content": "Probability of E given F?",
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"content": "okay so basically you need to know the following fact",
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"content": "$P(E|F) = \\frac{P(E \\cap F)}{P(F)}$",
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"content": "**OhGumbus**",
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"content": "does this make any sense to you?",
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"content": "have you seen this before?",
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"author_name": "Tezeta",
"timestamp": "05/09/2022 07:50:51",
"content": "I've seen it watching YouTube videos on the subject but my actual course litterature gives no examples using it",
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"content": "that's odd, it's very standard",
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"timestamp": "05/09/2022 07:51:29",
"content": "It's mentioned but not shown in a related way during the examples we are given",
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"timestamp": "05/09/2022 07:51:36",
"content": "basically you need the probably of E and F happening divided by probability of F",
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"author_name": "Tezeta",
"timestamp": "05/09/2022 07:56:34",
"content": "If the start I gave finding first the P of choosing a coke and P of choosing crate 1 with 1/3 * 6/24 is correct I still dont understand what to do with those numbers",
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"timestamp": "05/09/2022 07:56:41",
"content": "Even looking at your formula",
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"author_name": "Tezeta",
"timestamp": "05/09/2022 07:59:41",
"content": "0.361 * 0.083 / 0.083 = 0.361?",
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"author_name": "frownyfrog",
"timestamp": "05/09/2022 08:04:00",
"content": "",
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"timestamp": "05/09/2022 08:04:26",
"content": "6/72 / 26/72 = 6/26",
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"content": "this is like, unrelated to what you're trying to do",
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"content": "Its nice to look at since it makes sense",
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"content": "or is it though",
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"content": "i did actually divide those two numbers",
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"content": "hm",
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"timestamp": "05/09/2022 08:09:48",
"content": "The answer to my question is either 1/3. 3/13 and 13/36",
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"timestamp": "05/09/2022 08:09:58",
"content": "Your solution gives 3/13. Mine appears to give 13/36",
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"timestamp": "05/09/2022 08:10:02",
"content": "But I have no idea what the fuck im doing",
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"id": 973196451192655900,
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"author_name": "frownyfrog",
"timestamp": "05/09/2022 08:15:15",
"content": "i somehow don't think there are several ways of doing this",
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"content": "you have to find those 3 numbers and add them",
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"timestamp": "05/09/2022 08:17:36",
"content": "The answer 3/13 was correct which is nice",
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"timestamp": "05/09/2022 08:17:48",
"content": "Since your solution made sense",
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"timestamp": "05/09/2022 08:19:52",
"content": "Thanks for drawing it up like you did",
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"id": 973197623668375600,
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"timestamp": "05/09/2022 08:19:54",
"content": ".close",
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"author_name": "Mathematics Bot",
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"content": "Channel closed",
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}
] |
help-9
|
1ebaafcb9ba24c6caf7c9997e8200be8
|
199,819 |
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"timestamp": "05/09/2022 08:20:55",
"content": "Available help channel!",
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},
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"id": 973198884098703400,
"author_id": 345190616713527300,
"author_name": "TheSquirrel",
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"content": "How do I find the inverse of a logarithmic function when the x isn’t isolated, ex: y=2^3x and y=3*2^5x?",
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"content": "Pinned a message.",
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"content": "Question 6b and 6f",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "05/09/2022 08:26:59",
"content": "For b hint : roots",
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"content": "@TheSquirrel Has your question been resolved?",
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"content": "@TheSquirrel Has your question been resolved?",
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"timestamp": "05/09/2022 09:28:07",
"content": "Close",
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"id": 973214886744187000,
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"timestamp": "05/09/2022 09:28:30",
"content": ".close",
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},
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"id": 973214888325435500,
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"content": "Channel closed",
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help-9
|
2fa9894d92fb485882734e757b2ba111
|
199,820 |
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:37:50",
"content": "plz go to other one",
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"content": "Have you attempted the problem?",
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"content": "yessir",
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"timestamp": "03/24/2022 14:41:10",
"content": "but the one thing im confused in",
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"content": "You seem to be spamming help channels...",
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:41:19",
"content": "whether the 0.68 is out of 1 or 100",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:41:23",
"content": "or if its a percentage",
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"timestamp": "03/24/2022 14:41:26",
"content": "sorry sir",
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"timestamp": "03/24/2022 14:41:33",
"content": "It's a ratio",
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"timestamp": "03/24/2022 14:41:41",
"content": "Books returned on time/Total books",
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:42:15",
"content": "So 0.68 means that only 68% of books, or 68 out of every 100 books are returned on time",
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"id": 956624031816241200,
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"timestamp": "03/24/2022 14:42:22",
"content": "OOOOH",
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"id": 956624036371251200,
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:42:23",
"content": "thanks",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:42:23",
"content": "so",
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"timestamp": "03/24/2022 14:42:41",
"content": "i do the 837 divided by 0.68",
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"timestamp": "03/24/2022 14:42:48",
"content": "No",
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"content": "Think of it as a ratio, thats the easiest way",
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"timestamp": "03/24/2022 14:43:12",
"content": "Books returned on time/Total books",
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{
"id": 956624245801246700,
"author_id": 884732374397624300,
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"timestamp": "03/24/2022 14:43:13",
"content": "os",
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"id": 956624265124380800,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:43:18",
"content": "68/837",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:43:19",
"content": "?",
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"timestamp": "03/24/2022 14:43:22",
"content": "Total books = 837 in this case",
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"timestamp": "03/24/2022 14:43:27",
"content": "right",
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:43:33",
"content": "We would expect this ratio to equal 0.68",
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"id": 956624362495180800,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:43:41",
"content": "right",
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},
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"id": 956624370208489500,
"author_id": 489899943784611840,
"author_name": "vaaper",
"timestamp": "03/24/2022 14:43:43",
"content": "can you guys help me with this assignment I have?",
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"id": 956624401628008400,
"author_id": 521326998195273700,
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"timestamp": "03/24/2022 14:43:50",
"content": "#❓how-to-get-help",
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"content": "#help-14｜yonshsa",
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"content": "So you can make an equation using this info",
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"content": "It should be expected that the ratio = 0.68",
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"content": "listen this stuff is so confusing i dont even know how to do this as a ratio",
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"content": "Ok lets start from the beginning",
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"content": "can you explaint o this like im 6 and not 13",
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"content": "sorry lol",
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"content": "Express 0.68 as a ratio first",
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"content": "which is...?",
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"content": "Just type it",
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"content": "As a fraction",
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"timestamp": "03/24/2022 14:45:12",
"content": "this is answer sheet answer im trying to figure out ***how*** to get it",
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"content": "0.68/",
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"content": "?",
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"timestamp": "03/24/2022 14:45:41",
"content": "btw teacher gave us this IN the hw",
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"timestamp": "03/24/2022 14:45:49",
"content": "0.68/837?",
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"content": "Do you know how to convert a decimal into a fraction",
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"content": "yes",
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"content": "0.25 = 25/100",
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"timestamp": "03/24/2022 14:46:01",
"content": "Then do so",
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"content": "correct",
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"content": "so",
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"timestamp": "03/24/2022 14:46:07",
"content": "68/100",
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"timestamp": "03/24/2022 14:46:09",
"content": "?",
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"timestamp": "03/24/2022 14:46:12",
"content": "Yes.",
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"timestamp": "03/24/2022 14:46:14",
"content": "aight",
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"timestamp": "03/24/2022 14:46:24",
"content": "Do you know what the numerator and denominator represent in the context of the problem?",
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"content": "not sure",
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"content": "wait",
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"timestamp": "03/24/2022 14:46:50",
"content": "lemmet hink about it for a sec",
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"content": "so",
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"timestamp": "03/24/2022 14:46:57",
"content": "it would be 68/837?",
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"timestamp": "03/24/2022 14:47:04",
"content": "im so confused 😢",
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"content": "Don't worry about the other values yet",
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"content": "kk",
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"timestamp": "03/24/2022 14:47:19",
"content": "I want you to understand what 0.68 represents",
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"timestamp": "03/24/2022 14:47:29",
"content": "0.68 = 68/100",
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"timestamp": "03/24/2022 14:47:33",
"content": "right",
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"timestamp": "03/24/2022 14:47:41",
"content": "This means out of every 100 books, 68 are returned",
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"content": "This is a ratio between Returned : Total",
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"timestamp": "03/24/2022 14:47:54",
"content": "***oh***",
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"timestamp": "03/24/2022 14:48:00",
"content": "so",
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"timestamp": "03/24/2022 14:48:02",
"content": "68",
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"timestamp": "03/24/2022 14:48:03",
"content": "times",
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"id": 956625481006993500,
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"timestamp": "03/24/2022 14:48:07",
"content": "837?",
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"timestamp": "03/24/2022 14:48:12",
"content": "divided by idk",
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"timestamp": "03/24/2022 14:48:16",
"content": "We can expect that with a different number of books, to get the same result of 0.68",
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"timestamp": "03/24/2022 14:48:26",
"content": "Lets say I have 200 books",
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"id": 956625584606281700,
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:48:32",
"content": "How many can I expect to be returned?",
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"timestamp": "03/24/2022 14:48:39",
"content": "136",
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"timestamp": "03/24/2022 14:48:46",
"content": "Yes",
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"timestamp": "03/24/2022 14:48:50",
"content": "so",
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"id": 956625659348807800,
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"content": "so",
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"id": 956625666869190800,
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"timestamp": "03/24/2022 14:48:52",
"content": "68",
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"id": 956625675278778400,
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"timestamp": "03/24/2022 14:48:54",
"content": "times",
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"id": 956625698418720800,
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:48:59",
"content": "837?",
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:49:03",
"content": "What about if I were to have 837 books?",
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"id": 956625733466349600,
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"timestamp": "03/24/2022 14:49:08",
"content": "How many can I expect to be returned",
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"timestamp": "03/24/2022 14:49:14",
"content": "0.68, not 68 lol",
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"timestamp": "03/24/2022 14:49:40",
"content": "837 divided by 68",
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"timestamp": "03/24/2022 14:49:40",
"content": "12",
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"timestamp": "03/24/2022 14:49:44",
"content": "Uh",
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"id": 956625914261803000,
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"timestamp": "03/24/2022 14:49:51",
"content": "You just had it...",
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"timestamp": "03/24/2022 14:49:55",
"content": "wait",
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"timestamp": "03/24/2022 14:49:56",
"content": "what",
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"timestamp": "03/24/2022 14:49:57",
"content": "0.68 * 837",
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"id": 956625963620388900,
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"timestamp": "03/24/2022 14:50:02",
"content": "You just said it earlier",
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"timestamp": "03/24/2022 14:50:06",
"content": "AHHHHH",
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"content": "YES",
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"id": 956625984503808000,
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"timestamp": "03/24/2022 14:50:07",
"content": "YES",
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"id": 956625986223484900,
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"timestamp": "03/24/2022 14:50:08",
"content": "YES",
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"id": 956625988215779500,
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"timestamp": "03/24/2022 14:50:08",
"content": "YES",
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"timestamp": "03/24/2022 14:50:09",
"content": "YES",
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"timestamp": "03/24/2022 14:50:09",
"content": "YES",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:10",
"content": "TJANK",
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:11",
"content": "YOU",
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},
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:11",
"content": "SO",
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"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:50:15",
"content": "Wait before you close",
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:16",
"content": "FUCKING",
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},
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"id": 956626021271085000,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:16",
"content": "MUCH",
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},
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"id": 956626022298681300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:16",
"content": "sorry for swearing",
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},
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"id": 956626057908334600,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:25",
"content": "yessir?",
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},
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"id": 956626081820082300,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:50:31",
"content": "Let me show you how I solved this",
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"id": 956626115382870100,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:50:39",
"content": "So 0.68 = Returned/Total",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:50:50",
"content": "oh i get how you solved this= 0.68 * 837",
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},
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:50:51",
"content": "We know the total books was 837, lets make Returned a variable r",
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},
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"timestamp": "03/24/2022 14:51:00",
"content": "0.68 = r/837",
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"id": 956626226167038100,
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:51:05",
"content": "Now it's just an equation",
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},
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"id": 956626257498501100,
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:51:13",
"content": "Multiply both sides by 837",
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"timestamp": "03/24/2022 14:51:19",
"content": "0.68 * 837 = 569.18",
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},
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:51:28",
"content": "569.18 can be rounded down to 569",
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},
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:51:30",
"content": "569.16*",
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:51:37",
"content": "Oh whoops",
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"timestamp": "03/24/2022 14:51:38",
"content": "correct",
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"author_name": "shreksdad",
"timestamp": "03/24/2022 14:51:53",
"content": "I hope that wasn't too confusing",
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},
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"id": 956626460628635600,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:52:01",
"content": "What if I were to have 3489 books?",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:01",
"content": "ehh not really i kinda got it",
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},
{
"id": 956626486532661400,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:07",
"content": "it just hurts my brain thats all",
"attachments": [],
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},
{
"id": 956626495411998700,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:52:09",
"content": "How many should I expect to be returned",
"attachments": [],
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},
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"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:12",
"content": "ayo holup",
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"id": 956626512747057200,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:52:13",
"content": "With 3489 books",
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},
{
"id": 956626588634595300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:31",
"content": "2372.52",
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},
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"id": 956626608381395100,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:36",
"content": "2372",
"attachments": [],
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},
{
"id": 956626616296017900,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:38",
"content": "bookls",
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},
{
"id": 956626653168160800,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:52:47",
"content": "Looks right",
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},
{
"id": 956626669584662500,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:51",
"content": "lez gooo",
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},
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"id": 956626674169053200,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:52:52",
"content": "tahnks man",
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},
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"id": 956626706804920300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:53:00",
"content": "ima keep this open in case another problem comes up",
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},
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"id": 956626738237042800,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:53:07",
"content": "Wait a sc",
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},
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"id": 956626754955534500,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:53:11",
"content": "Let me check it first lol",
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},
{
"id": 956626793589248100,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:53:20",
"content": "Yes its right",
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},
{
"id": 956626808504189000,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:53:24",
"content": "Good job",
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},
{
"id": 956626823180067000,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:53:27",
"content": "thanks",
"attachments": [],
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},
{
"id": 956626875080388600,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:53:40",
"content": "im on my last question",
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},
{
"id": 956626936124289000,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:53:54",
"content": "ima try to solve this stuff myself before asking some questiosn",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:54:05",
"content": "thanks a shitton man you really helped",
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"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:57:58",
"content": "aight",
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"id": 956627962709569700,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:57:59",
"content": "i need help",
"attachments": [],
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},
{
"id": 956627976026464300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:58:02",
"content": "B is being a bitch",
"attachments": [],
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},
{
"id": 956628137993699300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:58:41",
"content": "would it just be 2/12 * 6 as the answer itself?",
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},
{
"id": 956628172491874300,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:58:49",
"content": "I believe so",
"attachments": [],
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},
{
"id": 956628197561237500,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "03/24/2022 14:58:55",
"content": "If the probability is 1/6",
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},
{
"id": 956628227269492900,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 14:59:02",
"content": "🗿",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956628914606854300,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 15:01:46",
"content": "c is being a ||cunt||",
"attachments": [],
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"reference": null
},
{
"id": 956628969220894700,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 15:01:59",
"content": "sorry lol i dont understand twhat they're asking form me",
"attachments": [],
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},
{
"id": 956629054403014700,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 15:02:19",
"content": "do i just multiply each fraction by them?",
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},
{
"id": 956629989695057900,
"author_id": 884732374397624300,
"author_name": "7r0lM$5t3r",
"timestamp": "03/24/2022 15:06:02",
"content": "nevermind its 3",
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},
{
"id": 956633765818536000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 15:21:03",
"content": "@7r0lM$5t3r Has your question been resolved?",
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"timestamp": "03/24/2022 15:36:03",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
79a3475034f24d9780a208ab8706bdba
|
199,821 |
[
{
"id": 973215141556547700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 09:29:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 973216469313806300,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:34:47",
"content": "Why is the square root of 16 is 4 but not 2?",
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},
{
"id": 973216471121559600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 09:34:48",
"content": "Pinned a message.",
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},
{
"id": 973216579569463300,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:35:14",
"content": "because 4^2=16",
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},
{
"id": 973216599899246600,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:35:18",
"content": "2^2=4",
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},
{
"id": 973216715628503000,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:35:46",
"content": "But 2x8=16",
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},
{
"id": 973216875548917800,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:36:24",
"content": "yes and 1×16=16",
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},
{
"id": 973216901473919000,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:36:30",
"content": "Is there sort of rule for this?",
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},
{
"id": 973216933195436200,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:36:38",
"content": "yes there is",
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},
{
"id": 973216935753949300,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:36:38",
"content": "Is it only even numbers?",
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},
{
"id": 973216966212997200,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:36:46",
"content": "May I please be provided with the source",
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},
{
"id": 973216972852588700,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:36:47",
"content": "no not like that",
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},
{
"id": 973216993941549000,
"author_id": 210474439769325570,
"author_name": "Gala",
"timestamp": "05/09/2022 09:36:52",
"content": "Why?",
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},
{
"id": 973217032009044000,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:37:01",
"content": "not only even numbers",
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},
{
"id": 973217053605519400,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:37:07",
"content": "can be the answer of a square root",
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},
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"id": 973217116582990000,
"author_id": 324228207329148900,
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"timestamp": "05/09/2022 09:37:22",
"content": "square root of 25 is 5",
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},
{
"id": 973217137328001000,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:37:27",
"content": "and 5 is odd",
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},
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"author_name": "Gala",
"timestamp": "05/09/2022 09:37:42",
"content": "So what’s the code of rule I must follow to understand it?",
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"author_name": "Mist",
"timestamp": "05/09/2022 09:37:56",
"content": "what numbered squared is 16",
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"timestamp": "05/09/2022 09:38:02",
"content": "and its 4",
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"author_name": "Gala",
"timestamp": "05/09/2022 09:38:13",
"content": "Without a calculator though I’m trying to do it without one",
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"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:38:20",
"content": "yes",
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"id": 973217381746901000,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:38:25",
"content": "the only way",
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"author_name": "Mist",
"timestamp": "05/09/2022 09:38:35",
"content": "you can transform 16 in to exponent form",
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"id": 973217436704854000,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:38:38",
"content": "is 4^2",
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"author_id": 273882039537762300,
"author_name": "Aerials",
"timestamp": "05/09/2022 09:38:50",
"content": "A square number is one where you multiply two of the same number together e.g 2x2 = 4 so 4 is a square number. Square root is a reverse operation so square root 4, what two numbers THAT ARE THE SAME multiply to become 4? 2 x 2 so square root of 4 is 2",
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"author_name": "Aerials",
"timestamp": "05/09/2022 09:38:53",
"content": "do you understand?",
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"author_name": "Mist",
"timestamp": "05/09/2022 09:39:01",
"content": "so if you have x^2=16\nx^2=4^2\nx=4",
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"timestamp": "05/09/2022 09:39:33",
"content": "Yes now I do thank you",
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"author_name": "Akise",
"timestamp": "05/09/2022 09:39:37",
"content": "also -4 (don't say i confused you lol)",
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"timestamp": "05/09/2022 09:39:37",
"content": "it could be -4 too",
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"author_name": "Aerials",
"timestamp": "05/09/2022 09:39:54",
"content": "but when you square root your answer is the positive solution",
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"author_name": "Mist",
"timestamp": "05/09/2022 09:40:13",
"content": "its the absolute value",
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"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:40:42",
"content": "x^2=16\n|x|=4",
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"author_name": "Akise",
"timestamp": "05/09/2022 09:40:46",
"content": "Yes but comparing with a variable raised to the power 2 then it can be negative too \nBecause -2×-2 = 4",
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"timestamp": "05/09/2022 09:40:46",
"content": "x=+-4",
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"author_name": "Gala",
"timestamp": "05/09/2022 09:40:53",
"content": "Is X just a variable or it means something?",
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"timestamp": "05/09/2022 09:40:59",
"content": "yes that’s if your solving for x",
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"id": 973218040470724600,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:41:02",
"content": "yes the variable",
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"id": 973218044589518800,
"author_id": 273882039537762300,
"author_name": "Aerials",
"timestamp": "05/09/2022 09:41:03",
"content": "but he is only square rooting",
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"id": 973218056165802000,
"author_id": 273882039537762300,
"author_name": "Aerials",
"timestamp": "05/09/2022 09:41:06",
"content": "not solving an equation",
"attachments": [],
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"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:41:24",
"content": "square root of 16 is 4",
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"id": 973218175246303200,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:41:34",
"content": "x^2=16\nx=+-4",
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"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:41:45",
"content": "square root of 16 is not negative 4",
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"id": 973218290249891800,
"author_id": 324228207329148900,
"author_name": "Mist",
"timestamp": "05/09/2022 09:42:01",
"content": "if x^2=16 then it can be both",
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"timestamp": "05/09/2022 09:43:11",
"content": "Thanks guys that was quick",
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"timestamp": "05/09/2022 09:43:18",
"content": "no problem!",
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"timestamp": "05/09/2022 09:43:53",
"content": ".close",
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{
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 09:43:53",
"content": "Channel closed",
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}
] |
help-9
|
c239f4574966417babad654877130ada
|
199,822 |
[
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"id": 973219011624042600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 09:44:53",
"content": "Available help channel!",
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"content": "Pinned a message.",
"attachments": [],
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"timestamp": "05/09/2022 09:48:39",
"content": "do you know the domain of arccos/cos inverse",
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"timestamp": "05/09/2022 09:52:49",
"content": "no",
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"timestamp": "05/09/2022 09:56:20",
"content": "well actually",
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"author_name": "Arcav",
"timestamp": "05/09/2022 09:56:23",
"content": "isnt the domain",
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{
"id": 973221909653241900,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "05/09/2022 09:56:24",
"content": "-1, 1",
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"id": 973221919199494100,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "05/09/2022 09:56:27",
"content": "and the range 0 pi",
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"id": 973221923972599800,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "05/09/2022 09:56:28",
"content": "You should know about that first inverse trigonometric functions their graphs, domain and ranges \nHow are they defined and such things",
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"id": 973222079686131700,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "05/09/2022 09:57:05",
"content": "so the domain would be 0, 2/3?",
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"id": 973222112577855600,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "05/09/2022 09:57:13",
"content": "and the range 0, 2pi?",
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"id": 973222455504162800,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "05/09/2022 09:58:34",
"content": "Yes",
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"timestamp": "05/09/2022 09:58:41",
"content": "ic",
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"author_name": "Arcav",
"timestamp": "05/09/2022 09:58:42",
"content": "thanks",
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"timestamp": "05/09/2022 10:02:53",
"content": ".close",
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"timestamp": "05/09/2022 10:02:54",
"content": "Channel closed",
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help-9
|
ba75eb6536f440ceb5ac3455063f0de6
|
199,823 |
[
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"id": 973239754822934700,
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"timestamp": "05/09/2022 11:07:19",
"content": "Available help channel!",
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"timestamp": "05/09/2022 11:19:53",
"content": "I am not really sure where to begin here. I know I can just do the equation but I come up with the square root of 5.234924505",
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"timestamp": "05/09/2022 11:23:09",
"content": "Oh I might need to multiple 2 by 15 degrees to get 30 degrees",
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"id": 973243769002537000,
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"timestamp": "05/09/2022 11:23:16",
"content": "then do sin 30",
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"timestamp": "05/09/2022 11:26:24",
"content": "so I think the answer is + or - sqrt(5)",
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"timestamp": "05/09/2022 11:28:55",
"content": "r^2= 10(1/2)",
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"timestamp": "05/09/2022 11:29:53",
"content": "You gotta multiply by 10 too",
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"timestamp": "05/09/2022 11:30:15",
"content": "Right, so r^2 = 5",
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"timestamp": "05/09/2022 11:30:27",
"content": "Ah yeah",
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"timestamp": "05/09/2022 11:30:31",
"content": "r= + or - sqrt(5)",
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"timestamp": "05/09/2022 11:30:34",
"content": "Yep",
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"timestamp": "05/09/2022 11:30:46",
"content": "Okay cool. Thanks!",
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"content": "np",
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"timestamp": "05/09/2022 11:45:47",
"content": "@TheBradest Has your question been resolved?",
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] |
help-9
|
f90bb719693546f3b81547d366e6ad77
|
199,824 |
[
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"content": "Available help channel!",
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},
{
"id": 973252593457463300,
"author_id": 269907979359223840,
"author_name": "Daviyoshi シ",
"timestamp": "05/09/2022 11:58:20",
"content": "hey, this is not a math question per se, its more of a brainstorming type of question, i wrote it in #math-discussion and i was recomended to write it here",
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{
"id": 973252596313763800,
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"author_id": 269907979359223840,
"author_name": "Daviyoshi シ",
"timestamp": "05/09/2022 11:58:24",
"content": "I'm an ib student and am currently doing the last preparations for one of my final exams (paper 3). For context, IB teaches hs level math in 2 levels and 2 specializations of which i'm in the higher level for analysis and geometry, the most advanced parts of my syllabus include linear differential equations of first order or vectors, planes and volumes in 3d planes. The exam, consists on 2 exercises which take 30 minutes each in which you are guided towards deducing higher level knowledge, for example, a past exam consisted on a deduction of the hyperbolic functions sinhx and coshx using complex numbers and resolving a linear differential equation of second degree, I need your help brainstorming possible topics for my exam in a few days, thanks.",
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"timestamp": "05/09/2022 11:59:02",
"content": "IB is hs 16-18",
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"content": ".close",
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help-9
|
3be6c8098940481f90033f9dde6c6bbe
|
199,825 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 12:08:22",
"content": "Available help channel!",
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},
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"id": 973256090756210700,
"author_id": 342201334830858240,
"author_name": "Hera",
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"content": "how do i make inverse function out of this i tried this but i get the same answer",
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"content": "what did i do wrong here",
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"author_name": "Kaynex",
"timestamp": "05/09/2022 12:15:24",
"content": "You're trying to take the reciprocal of both sides. With that in mind, the third line should read:\nx⁻¹ = (-2y⁻¹)⁻¹",
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"id": 973257352725799000,
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"timestamp": "05/09/2022 12:17:15",
"content": "why -1 on both",
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"id": 973257525459845100,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/09/2022 12:17:56",
"content": "tf did you do on step 3",
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},
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"author_id": 356908116429897700,
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"timestamp": "05/09/2022 12:17:58",
"content": "Because that will get the ⁻¹ off y",
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"timestamp": "05/09/2022 12:18:11",
"content": "dont ask",
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"timestamp": "05/09/2022 12:19:29",
"content": "$$x = -2y^{-1}$$",
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"timestamp": "05/09/2022 12:19:56",
"content": "**Chunkin**",
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"timestamp": "05/09/2022 12:23:05",
"content": "what should the answer be then",
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"timestamp": "05/09/2022 12:23:16",
"content": "-2/x?",
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"id": 973260174661918800,
"author_id": 342201334830858240,
"author_name": "Hera",
"timestamp": "05/09/2022 12:28:27",
"content": "this",
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 12:43:28",
"content": "@Hera Has your question been resolved?",
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"author_name": "Akise",
"timestamp": "05/09/2022 12:51:54",
"content": "Yes",
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"author_name": "Hera",
"timestamp": "05/09/2022 12:52:08",
"content": "this is how it can be done too then?",
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"author_name": "Akise",
"timestamp": "05/09/2022 12:53:07",
"content": "You were done in step 3 why did you do that again",
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"author_name": "Hera",
"timestamp": "05/09/2022 12:53:58",
"content": "in 3rd step i can just swsap x and y and its done ?",
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"author_name": "Akise",
"timestamp": "05/09/2022 12:54:24",
"content": "Yes but you can swap only when you're done",
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"author_name": "Chunkin",
"timestamp": "05/09/2022 13:22:20",
"content": "my g",
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},
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"id": 973273849812615300,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/09/2022 13:22:48",
"content": ",w plot x=-2y^{-1}",
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},
{
"id": 973273916715991000,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/09/2022 13:23:04",
"content": ",w plot y=-2x^{-1}",
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},
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"id": 973273985607426200,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/09/2022 13:23:20",
"content": "multiply both sides by y",
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"id": 973274043950194800,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/09/2022 13:23:34",
"content": "note that y^-1 * y = 1",
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 13:33:34",
"content": "@Hera Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 13:33:43",
"content": "Channel closed",
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}
] |
help-9
|
ce103e70c4ac4537a4d1539a04e0b605
|
199,826 |
[
{
"id": 973276851067846700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 13:34:43",
"content": "Available help channel!",
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},
{
"id": 973276997516144600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:35:18",
"content": "\\begin{align*}\n L &= \\int_a^b \\sqrt{1+(f'(x))^2} \\text{ dx}\\\\\n &= \\int_0^1 \\sqrt{1+\\left(-\\frac94 x^{\\frac12} \\left(1 - x^{\\frac32}\\right)^{\\frac12}\\right)^2} \\text{ dx}\\\\\n &= \\int_0^1 \\sqrt{1+\\frac{81}{16}x \\left(1 - x^{\\frac32}\\right)} \\text{ dx}\\\\\n &= \\int_0^1 \\sqrt{1+\\frac{81}{16}x-\\frac{81}{16}x^{\\frac52}} \\text{ dx}\\\\\n\\end{align*}",
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"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "05/09/2022 13:35:22",
"content": "**mahmooz**",
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"timestamp": "05/09/2022 13:35:26",
"content": "how do i continue",
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},
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"id": 973277342283739100,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "05/09/2022 13:36:41",
"content": "You can't, there is no easy way to calculate this integral",
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"id": 973277387481567200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:36:51",
"content": "then i probably made some mistake",
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},
{
"id": 973277456045854700,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "05/09/2022 13:37:08",
"content": "it's possible",
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},
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"id": 973277504238420100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:37:19",
"content": "any ideas? i cant see anything wrong here",
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"id": 973277584785830000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/09/2022 13:37:38",
"content": "What's f?",
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},
{
"id": 973277660711092200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:37:56",
"content": "$x^{\\frac32} + y^{\\frac23} = 1,\\ 0 \\leq x \\leq 1$",
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"id": 973277671867953200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/09/2022 13:37:59",
"content": "**mahmooz**",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:38:03",
"content": "\\begin{align*}\n x^{\\frac32} + y^{\\frac23} &= 1\\\\\n \\left(y^{\\frac23}\\right)^{\\frac32} &= \\left(1 - x^{\\frac32}\\right)^{\\frac32}\\\\\n y &= \\left(1 - x^{\\frac32}\\right)^{\\frac32}\\\\\n y' &= \\frac32 \\left(1 - x^{\\frac32}\\right)^{\\frac12} \\cdot -\\frac32x^{\\frac12}\\\\\n y' &= -\\frac94 x^{\\frac12} \\left(1 - x^{\\frac32}\\right)^{\\frac12}\\\\\n\\end{align*}",
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},
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"id": 973277704705175600,
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"timestamp": "05/09/2022 13:38:07",
"content": "**mahmooz**",
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"id": 973278418063990800,
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"author_name": "Deleted User",
"timestamp": "05/09/2022 13:40:57",
"content": "theres no way to factor",
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},
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"id": 973278479070146700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/09/2022 13:41:12",
"content": "Maybe a parametric description instead?\nx = sin^(4/3)(t)\ny = cos³(t)",
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"id": 973278494802980900,
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"author_name": "Deleted User",
"timestamp": "05/09/2022 13:41:15",
"content": "could it be that my professor gave us an unsolvable integral for homework?",
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"timestamp": "05/09/2022 13:41:42",
"content": "we didnt deal with parametric functions in my calculus class",
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"timestamp": "05/09/2022 13:41:45",
"content": "yet i guess",
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"id": 973279480695115900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:45:10",
"content": "imma send them an email",
"attachments": [],
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},
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"id": 973279491025682600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:45:13",
"content": "ty guys",
"attachments": [],
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},
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"id": 973279494972518400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/09/2022 13:45:14",
"content": ".close",
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},
{
"id": 973279496532791300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 13:45:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
032f866acc5646fd95b447c406f062ef
|
199,827 |
[
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"author_id": 805217272087838700,
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"timestamp": "05/09/2022 15:05:24",
"content": "Available help channel!",
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"id": 973300047921967200,
"author_id": 802714855983415300,
"author_name": "mattt",
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"content": "Alternate exterior angles are __ found on opposite sides of the transversal.",
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"content": "@mattt Has your question been resolved?",
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"timestamp": "05/09/2022 15:22:36",
"content": "@Helpers",
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},
{
"id": 973311549584318500,
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"author_name": "Mathematics Bot",
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"content": "@mattt Has your question been resolved?",
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"timestamp": "05/09/2022 16:22:38",
"content": "Channel closed",
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}
] |
help-9
|
b600d5f1bea1452bbc1d153c0e40fba7
|
199,828 |
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 16:23:38",
"content": "Available help channel!",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:28:43",
"content": "Hello! I’m programming a game and one of the mechanics involve an option of taking half of one resource (let’s say gold) away and then adding a fix amount of said resource back, so for example:\nI have 100 gold and I have the option to take half away and then add… 100 gold. So I wanted to know what is the max amount of gold I could get if I repeat this process infinite times.\nI can calculate the solution by brute force, but I don’t know how to do this properly or how this type of calculation is called.\nThanks!\ntl;dr: ... (100*0.5)+100)*0.5)+100)*0.5)+100)*0.5 … ∞ how is this called and how you do it ?",
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"content": "Pinned a message.",
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"timestamp": "05/09/2022 16:43:43",
"content": "@DeadlyNight Has your question been resolved?",
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"author_name": "shreksdad",
"timestamp": "05/09/2022 16:44:42",
"content": "Can you write it in summation notation so I can better understand what you are referring to?",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:46:13",
"content": "Sorry, but that's part of the problem. I'm not able to write it properly",
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"timestamp": "05/09/2022 16:47:51",
"content": "the best way i can describe it in words is \nStart with X , then multiply it by Y, then add X, then multiply it by Y, then add X... infinite times\nY being between 0 and 1",
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"author_name": "shreksdad",
"timestamp": "05/09/2022 16:48:51",
"content": "So (100 * 0.5) + (100 * 0.5) ... ?",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:52:56",
"content": "No, because each new operation is done separately",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:53:31",
"content": "like (... ( 100 * 0.5 ) + 100 ) * 0.5 ) + 100 ) * 0.5 .... )",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:54:36",
"content": "the result of that is infinity, the result i'm describing converges to 200",
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"timestamp": "05/09/2022 16:54:56",
"content": "Ah I see",
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"author_name": "shreksdad",
"timestamp": "05/09/2022 16:55:02",
"content": "Wait, did you answer your own question?",
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"author_name": "shreksdad",
"timestamp": "05/09/2022 16:55:08",
"content": "You wanted to know if it converges to a value right?",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:55:18",
"content": "I know the answer purely by brute force",
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"author_name": "DeadlyNight",
"timestamp": "05/09/2022 16:55:29",
"content": "i want to know how to do it properly",
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"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/09/2022 16:55:50",
"content": "Not sure I haven't done infinite series stuff yet",
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"author_name": "shreksdad",
"timestamp": "05/09/2022 16:56:58",
"content": "If you want to learn maybe find on youtube \"How to find value that infinite series converges to\"",
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"timestamp": "05/09/2022 16:57:04",
"content": "I will learn a bit soon too lol",
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"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 16:58:43",
"content": "Channel closed",
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] |
help-9
|
10b5f5799a864a54b30a42f429396c7c
|
199,829 |
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"timestamp": "05/09/2022 17:31:05",
"content": "Available help channel!",
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"id": 973337183916290000,
"author_id": 401420684238258200,
"author_name": "ishan",
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"content": "Pinned a message.",
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"author_id": 401420684238258200,
"author_name": "ishan",
"timestamp": "05/09/2022 17:34:56",
"content": "What am I doing wrong here",
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"id": 973337392398368800,
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"author_name": "ishan",
"timestamp": "05/09/2022 17:35:18",
"content": "1996 + f(2) = 4f(2)",
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"timestamp": "05/09/2022 17:35:33",
"content": "1996 = 3f(2)",
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"id": 973337542738993300,
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"author_name": "ishan",
"timestamp": "05/09/2022 17:35:53",
"content": "But when I divide by three I get that f(2) is not an integer",
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"timestamp": "05/09/2022 17:36:14",
"content": "is this chat occupied",
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"timestamp": "05/09/2022 17:36:16",
"content": "i have",
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"author_name": "seba_",
"timestamp": "05/09/2022 17:36:22",
"content": "question",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/09/2022 17:36:24",
"content": "yes it is. read #❓how-to-get-help",
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"content": "the domain is the positive integers, not the range",
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"timestamp": "05/09/2022 17:50:54",
"content": "@ishan Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
ff0727084a114a3c97e2be9f5181fda7
|
199,830 |
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"content": "Available help channel!",
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"content": "@elbells Has your question been resolved?",
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help-9
|
a7512046473f4cf9b6d1cf4ea50f8719
|
199,831 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 15:37:03",
"content": "Available help channel!",
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{
"id": 956643995423998100,
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"content": "Pinned a message.",
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"id": 956644046980415500,
"author_id": 145844292630347780,
"author_name": "HeyHey",
"timestamp": "03/24/2022 16:01:54",
"content": "On sums like these can i just look at the highest term under and above",
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"author_name": "HeyHey",
"timestamp": "03/24/2022 16:02:08",
"content": "So for example the first term n^2/2n^3",
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"author_name": "HeyHey",
"timestamp": "03/24/2022 16:02:17",
"content": "And second sqrt(n)/n^2",
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"author_name": "Gooaaa",
"timestamp": "03/24/2022 16:03:14",
"content": "what's question",
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"author_name": "HeyHey",
"timestamp": "03/24/2022 16:03:14",
"content": "The task is to find out if they converge or diverge etc",
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"timestamp": "03/24/2022 16:03:27",
"content": "If i can look only at the highest n in the sums",
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"timestamp": "03/24/2022 16:03:30",
"content": "So its gets simplified",
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"author_name": "Hexicle",
"timestamp": "03/24/2022 16:04:23",
"content": "That is basically a fast way to get to a reasonable comparison for the limit comparison test, which would let you conclude if they converge or diverge",
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"author_name": "Hexicle",
"timestamp": "03/24/2022 16:05:32",
"content": "but if I were marking your work and that is all you did, you would not have a good time",
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"author_name": "Darkness",
"timestamp": "03/24/2022 16:05:44",
"content": "the first one looks like just alternative series test",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:06:18",
"content": "well yes and no",
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"timestamp": "03/24/2022 16:06:23",
"content": "how do u perform the limit comparison test on these",
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"timestamp": "03/24/2022 16:06:36",
"content": "dont we use this for first question",
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"timestamp": "03/24/2022 16:06:36",
"content": "when n=1 it becomes 0 anything above is positive",
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"id": 956645246702354400,
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"timestamp": "03/24/2022 16:06:40",
"content": "o",
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"timestamp": "03/24/2022 16:06:41",
"content": "hmm",
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"timestamp": "03/24/2022 16:06:58",
"content": "the alternating term is added not multiplied",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:07:03",
"content": "it's n² + (-1)^n on the top so you need to work a bit",
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"author_name": "Hexicle",
"timestamp": "03/24/2022 16:07:11",
"content": "You would split it up into an alternating part and a harmonic part",
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"timestamp": "03/24/2022 16:07:14",
"content": "oh yeah (-1)^n",
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"author_name": "Darkness",
"timestamp": "03/24/2022 16:07:16",
"content": "can we split",
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"id": 956645409390997600,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "03/24/2022 16:07:19",
"content": "into two series",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:07:21",
"content": "yes",
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"author_name": "Darkness",
"timestamp": "03/24/2022 16:07:31",
"content": "and then handle each one",
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"content": "yes",
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"timestamp": "03/24/2022 16:07:36",
"content": "didn't know series were lineair 👀",
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"timestamp": "03/24/2022 16:07:42",
"content": "they are",
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"timestamp": "03/24/2022 16:07:46",
"content": "so you would split the sum up to two sums?",
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"timestamp": "03/24/2022 16:07:56",
"content": "then perform limit comparision tests",
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"timestamp": "03/24/2022 16:08:02",
"content": "yes and comparison for n^2 once",
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"timestamp": "03/24/2022 16:08:15",
"content": "and the alternative test for (-1)^n one",
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"content": "this gonna be interesting never done the limit comparison test",
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"timestamp": "03/24/2022 16:08:25",
"content": "no need, comparison for the first, leibniz for the second",
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"timestamp": "03/24/2022 16:08:49",
"content": "i have always just short cutted to the highest powers and looked at those",
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"timestamp": "03/24/2022 16:09:48",
"content": "yes if we do multiple choice",
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"timestamp": "03/24/2022 16:10:17",
"content": "in uni now so i think i gotta perform these tests",
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"timestamp": "03/24/2022 16:10:26",
"content": "**Darkness**",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:10:37",
"content": "harmonic series",
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"content": "true",
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"timestamp": "03/24/2022 16:10:50",
"content": "it diverges",
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"timestamp": "03/24/2022 16:10:52",
"content": "yea thats what i usually do",
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"timestamp": "03/24/2022 16:11:00",
"content": "then the whole series diverges",
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"timestamp": "03/24/2022 16:11:08",
"content": "hmm",
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"timestamp": "03/24/2022 16:11:21",
"content": "thats correct answer that it diverges",
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"timestamp": "03/24/2022 16:11:41",
"content": "an other way too, n² grows faster that (-1)^n, so we could have just ignore the (-1)^n",
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"timestamp": "03/24/2022 16:11:47",
"content": "my question is more of how instead of short cutting it, how do i perform these tests",
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"timestamp": "03/24/2022 16:12:08",
"content": "im afraid you can't shortcut steps for these problems",
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"timestamp": "03/24/2022 16:12:27",
"content": "we aren't short cutting it tho",
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"timestamp": "03/24/2022 16:12:32",
"content": "if there is then I do need help to shortcut step for this problem",
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"timestamp": "03/24/2022 16:12:39",
"content": "maybe after yours",
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"timestamp": "03/24/2022 16:13:04",
"content": "so its valid saying that (-1)^n grows slower than n^2 so we can ignore, and the +1 under the fraction we can ignore when n becomes large",
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"timestamp": "03/24/2022 16:13:19",
"content": "yea",
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"timestamp": "03/24/2022 16:13:35",
"content": "but for the second sum",
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"timestamp": "03/24/2022 16:13:50",
"content": "same thing again",
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"timestamp": "03/24/2022 16:13:52",
"content": "i can ignore the +1 in the fraction there aswell, and ignore n+1 since n^2 grows faster",
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"timestamp": "03/24/2022 16:13:58",
"content": "yes",
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"timestamp": "03/24/2022 16:14:25",
"content": "what about something like this",
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"timestamp": "03/24/2022 16:14:34",
"content": "still same",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:14:37",
"content": "leibniz test",
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"timestamp": "03/24/2022 16:14:45",
"content": "ln^2 n rose fast too",
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"timestamp": "03/24/2022 16:14:55",
"content": "but ig you would need to carry out integral test?",
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"timestamp": "03/24/2022 16:15:00",
"content": "no",
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"timestamp": "03/24/2022 16:15:02",
"content": "aka alternating series test?",
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"timestamp": "03/24/2022 16:15:02",
"content": "no",
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"timestamp": "03/24/2022 16:15:08",
"content": "yes",
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"timestamp": "03/24/2022 16:15:35",
"content": "check if limit of a_n is zero and of its increasing",
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"timestamp": "03/24/2022 16:15:40",
"content": "or was it decreasing",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:15:49",
"content": "decreasing**",
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"timestamp": "03/24/2022 16:15:56",
"content": "decrease for converge",
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"timestamp": "03/24/2022 16:16:16",
"content": "increase -> inconclusive isnt it",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:16:33",
"content": "and obviously 1/ln²(n) decreases for all n >= 2",
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"timestamp": "03/24/2022 16:16:41",
"content": "btw if it asks for abs converge or not abs conv take the abs value of it and find if it div or conv",
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"timestamp": "03/24/2022 16:16:55",
"content": "so first two sums i can justify ignoring certain parts with reasoning, and the last sum i posted i need to perform libniz test",
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"timestamp": "03/24/2022 16:17:08",
"content": "they do ask for absolute convergence or conditional convergence",
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"timestamp": "03/24/2022 16:17:18",
"content": "nice",
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"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:17:19",
"content": "tf is conditional convergence ?",
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"timestamp": "03/24/2022 16:17:24",
"content": "uhh",
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"timestamp": "03/24/2022 16:17:24",
"content": "thats painful",
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"timestamp": "03/24/2022 16:17:37",
"content": "let me translate from native lang to eng",
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"timestamp": "03/24/2022 16:17:44",
"content": "conditional conv is when u take the abs value of the series it doesn't conv",
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"timestamp": "03/24/2022 16:17:55",
"content": "but the non abs value of the sum converges",
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"timestamp": "03/24/2022 16:17:58",
"content": "it translates to this s",
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"timestamp": "03/24/2022 16:18:08",
"content": "it's called semi convergent series lol",
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"timestamp": "03/24/2022 16:18:27",
"content": "hm here it is called conditional convergence too e",
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"timestamp": "03/24/2022 16:19:10",
"content": "now im afraid for abs convergence and conditional convergence",
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"timestamp": "03/24/2022 16:19:27",
"content": "can I ask a question too btw if Heyhey has done",
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"timestamp": "03/24/2022 16:19:33",
"content": "ye im done",
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"timestamp": "03/24/2022 16:19:37",
"content": "i can close fast if u want",
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"timestamp": "03/24/2022 16:20:54",
"content": "keep it",
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"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "03/24/2022 16:20:57",
"content": "So",
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},
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"id": 956648972162842600,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "03/24/2022 16:21:28",
"content": "The problem is to find radius of convergence as well as interval. is there a way to shortcut the solution. (also please point out if I did something wrong)",
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"timestamp": "03/24/2022 16:21:39",
"content": "**Darkness**",
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"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:23:01",
"content": "you did the ratio test wrong I think",
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"id": 956649380495122600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:23:05",
"content": "or...",
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"id": 956649453438263300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "03/24/2022 16:23:23",
"content": "oh wait, the 4x-12 is raised to the power of n",
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"timestamp": "03/24/2022 16:28:57",
"content": "yes",
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"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 16:34:38",
"content": "@HeyHey Has your question been resolved?",
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"author_name": "HeyHey",
"timestamp": "03/24/2022 16:47:10",
"content": "the limit of 1/(ln(n))^2 when n goes to inf is 0 right?",
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"id": 956656521473851400,
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"timestamp": "03/24/2022 16:51:28",
"content": "correct",
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"content": "@HeyHey Has your question been resolved?",
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"timestamp": "03/24/2022 17:17:45",
"content": "Channel closed",
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}
] |
help-9
|
d499270cb3564c96beb401f80b980666
|
199,832 |
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"content": "Available help channel!",
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"timestamp": "05/09/2022 19:01:11",
"content": "question was to convert given equation to standard form, did I do it right?",
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"content": "^given equation",
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"content": "looks like an ellipse. the standard form is \nhttps://math.libretexts.org/Bookshelves/Algebra/Map%3A_College_Algebra_(OpenStax)/08%3A_Analytic_Geometry/8.02%3A_The_Ellipse",
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"content": "the question said it was a circle",
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"content": "ah shit my bad",
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"timestamp": "05/09/2022 19:24:21",
"content": "hopefully a lot simpler",
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"content": "this is general form",
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"content": "the third eqn is standard form",
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"content": "was it done right?",
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"timestamp": "05/09/2022 19:27:08",
"content": "where is the original eqn?",
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"content": "@riemann",
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"content": "i can't follow your work from here",
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"timestamp": "05/09/2022 19:33:56",
"content": "to here",
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"timestamp": "05/09/2022 19:46:18",
"content": "@dtm Has your question been resolved?",
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"timestamp": "05/09/2022 19:48:36",
"content": "I divided by 16 and factored",
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] |
help-9
|
201903166ea3408b9f4f1a994ae5390a
|
199,833 |
[
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"content": "Available help channel!",
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},
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"id": 973374741568192600,
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"timestamp": "05/09/2022 20:03:48",
"content": "so this rule",
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"author_name": "inx",
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"content": "what is it called?",
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"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/09/2022 20:05:39",
"content": "sum of angles in a triangle??",
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"content": "awesome, thanks!!",
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help-9
|
036d619817ab4408b59152adc54a280a
|
199,834 |
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"content": "@Rivvnik Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "Rivvnik",
"timestamp": "05/09/2022 20:42:32",
"content": "i guess i'm just really confused about what to do with the eccentricity and the constant; it's clear that i'm trying to figure out whether the orbit is elliptic, parabolic, or hyperbolic at alpha=3.75",
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"timestamp": "05/09/2022 20:42:37",
"content": "and i gotta figure out the r",
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"content": "but i don't know how to set up the linear system using all those data points",
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"content": "is this in the right direction???",
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"content": "am ... am i supposed to somehow convert this shit into a matrix??",
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"timestamp": "05/09/2022 20:54:01",
"content": "because if so, i really don't know how i would go about doing that",
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"content": "or... oh, i guess i need to evaluate all the cosine stuff?",
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"content": "one sec, lemme refine",
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"content": "is this?????",
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"content": "is this on the right track???",
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"content": "hello?",
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"content": "or would *this* be the matrix?",
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"content": "am i even setting this up right ._.",
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"content": "**Rivvnik**",
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"content": "**Rivvnik**",
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"content": "please, somebody help!",
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"timestamp": "05/09/2022 21:17:52",
"content": "again, this is my issue",
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"content": "this is the question ^^",
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"content": "i am trying to set up the linear system",
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"content": "i've gotten this far",
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"content": "I understand that this is a least squares problem and that at some point, i'm gonna have to plug in 3.75 (and potentially e??) into x hat",
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"content": "in the whole least squares normal equation",
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"content": "**Rivvnik**",
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"content": "how do i go from the linear system to a matrix A",
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"content": "**Rivvnik**",
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"timestamp": "05/09/2022 21:24:50",
"content": "obviously, the coefficient for e would have to be one of them",
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"timestamp": "05/09/2022 21:24:55",
"content": "right??",
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"timestamp": "05/09/2022 21:25:01",
"content": "and alpha, since we're trying to plug in alpha",
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"content": "i don't think i can plug in a coefficient for e in x hat",
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"timestamp": "05/09/2022 21:25:34",
"content": "so okay alpha for sure has to be a component of x hat",
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"timestamp": "05/09/2022 21:25:46",
"content": "c? i guess? the component would always be 1, right?",
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"timestamp": "05/09/2022 21:26:27",
"content": "r is an input AND the output??",
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"timestamp": "05/09/2022 21:26:39",
"content": "doesn't that mean there must be some special linkage or something??",
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"timestamp": "05/09/2022 21:27:56",
"content": "doesn't that mean $e\\cos{\\alpha}=1$, and $c=0$?",
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"content": "**Rivvnik**",
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"content": "is that true??",
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"content": ".close",
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] |
help-9
|
1c514ad85a36445695f10297bad4a845
|
199,835 |
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"content": "In the problem",
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"content": "$\\frac{(-1) \\pm \\sqrt{1^2-4*2*(-10)}}{2*2}$",
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"timestamp": "05/09/2022 21:41:49",
"content": "**Pi Creature**",
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"content": "Did you calculated the square root",
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"content": "What did you got?",
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"content": "9/4",
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"content": "Uh no",
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"content": "$\\sqrt{1-4*2*(-10)}$",
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"timestamp": "05/09/2022 21:43:29",
"content": "**Pi Creature**",
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"timestamp": "05/09/2022 21:43:37",
"content": "I am only talking about this part",
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"id": 973399932042109000,
"author_id": 409843717479071740,
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"timestamp": "05/09/2022 21:43:48",
"content": "9",
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"content": "Yup",
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"timestamp": "05/09/2022 21:44:16",
"content": "So u have\n\n$\\frac{(-1) \\pm 9}{4}$",
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"timestamp": "05/09/2022 21:44:19",
"content": "**Pi Creature**",
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"timestamp": "05/09/2022 21:44:46",
"content": "yea",
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"content": "Or \n\n$\\frac{(-1) + (9)}{4}=\\frac{8}{4}=2$",
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"content": "**Pi Creature**",
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"content": "So this is one of the roots",
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"content": "Try to evaluate the other root",
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"timestamp": "05/09/2022 21:46:32",
"content": "Namely \n\n$\\frac{-1-9}{4}$",
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"timestamp": "05/09/2022 21:46:35",
"content": "**Pi Creature**",
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"content": "2.5",
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"content": "?",
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"content": "Well ofc it's not positive",
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"content": "yea",
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"timestamp": "05/09/2022 21:47:37",
"content": "ig u meant -2.5",
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"content": "yup",
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"timestamp": "05/09/2022 21:47:52",
"content": "Ya good",
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"id": 973400980450312300,
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"timestamp": "05/09/2022 21:47:58",
"content": "Which one is the smaller root?",
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"id": 973401021512577000,
"author_id": 409843717479071740,
"author_name": "Broski",
"timestamp": "05/09/2022 21:48:08",
"content": "-2.5",
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"id": 973401071735156900,
"author_id": 909734400990785500,
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"timestamp": "05/09/2022 21:48:20",
"content": "Ya so that's that one of the answers",
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"timestamp": "05/09/2022 21:48:25",
"content": "ok thx",
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"id": 973401112851935400,
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"timestamp": "05/09/2022 21:48:30",
"content": "and other one is the other root",
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"content": "ye",
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"timestamp": "05/09/2022 21:49:01",
"content": ".close",
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"id": 973401244200751100,
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"timestamp": "05/09/2022 21:49:01",
"content": "Channel closed",
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}
] |
help-9
|
353a57a83a944f7bbc269f9323a8a0bb
|
199,836 |
[
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"timestamp": "05/09/2022 21:50:01",
"content": "Available help channel!",
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},
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"id": 973403365717467100,
"author_id": 683908143314763800,
"author_name": "melon",
"timestamp": "05/09/2022 21:57:27",
"content": "i'm having trouble understanding what exactly is happening after the first step and what happens to the 1/x + 1/y. can someone please help me understand?",
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"timestamp": "05/09/2022 22:02:26",
"content": "$\\frac{1}{x}+\\frac{1}{y}=\\frac{x+y}{xy}$",
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"content": "**Pi Creature**",
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"timestamp": "05/09/2022 22:02:45",
"content": "Do this conversion and the rest is simple",
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"author_name": "melon",
"timestamp": "05/09/2022 22:03:31",
"content": "sorry if this is a dumb question but where are you getting x + y in the numerator from and x times y on the denominator",
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"content": "is that just the way it works?",
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"timestamp": "05/09/2022 22:03:43",
"content": "no wait lemme show u",
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"id": 973405065895350300,
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"author_name": "BANJO",
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"timestamp": "05/09/2022 22:04:27",
"content": "$\\frac{1}{x}+\\frac{1}{y}=\\frac{1*y}{xy}+\\frac{1*x}{y*x}=\\frac{y+x}{xy}$",
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"id": 973405162158846000,
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"timestamp": "05/09/2022 22:04:35",
"content": "#❓how-to-get-help",
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"timestamp": "05/09/2022 22:04:54",
"content": "@melon",
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"timestamp": "05/09/2022 22:05:09",
"content": "@Helpers",
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"id": 973405328324571100,
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"timestamp": "05/09/2022 22:05:15",
"content": "Dude what",
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"timestamp": "05/09/2022 22:05:18",
"content": "Go to #❓how-to-get-help",
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},
{
"id": 973405361665105900,
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"timestamp": "05/09/2022 22:05:23",
"content": "This channel is occupied",
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"timestamp": "05/09/2022 22:05:26",
"content": "oh ok",
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"author_name": "melon",
"timestamp": "05/09/2022 22:05:37",
"content": "sorry im still not undersatnding the first step",
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"author_name": "melon",
"timestamp": "05/09/2022 22:05:45",
"content": "OH WAIT",
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"id": 973405465499271200,
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"author_name": "melon",
"timestamp": "05/09/2022 22:05:47",
"content": "now i understand nvm",
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"timestamp": "05/09/2022 22:05:49",
"content": "Uh but that's a simple lcm",
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"timestamp": "05/09/2022 22:05:54",
"content": "Like how u add fractions",
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"timestamp": "05/09/2022 22:06:02",
"content": "you're multiplying the denoms and numerators i didn't see that",
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"id": 973405543106482200,
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"timestamp": "05/09/2022 22:06:06",
"content": "Ya",
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"timestamp": "05/09/2022 22:06:13",
"content": "ok ty",
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"author_name": "melon",
"timestamp": "05/09/2022 22:06:17",
"content": ".close",
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"timestamp": "05/09/2022 22:06:17",
"content": "Channel closed",
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}
] |
help-9
|
6906ace3b21640b3906ab2be40674e65
|
199,837 |
[
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"timestamp": "05/09/2022 22:14:44",
"content": "how come in the answer there are 3 terms when there are only 2 in the question",
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"timestamp": "05/09/2022 22:15:26",
"content": "i undersatnd where the root 3 squared and 1 squared come but why is the final answer 4 + 2 root 3 and not 2 + 2 root 3",
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"id": 973407908429701200,
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"content": "$$(a+b)^2 = a^2 + 2ab +b^2$$",
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"content": "**Chunkin**",
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"content": "ah ok ty",
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] |
help-9
|
915a31b628e2482aaccb3e3c6e08859f
|
199,838 |
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"timestamp": "05/09/2022 22:16:20",
"content": "Distributive property",
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"id": 973410295311638500,
"author_id": 839585438096293900,
"author_name": "Gwi-Nam",
"timestamp": "05/09/2022 22:24:59",
"content": "I need help",
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"timestamp": "05/09/2022 22:25:19",
"content": "I need help with the polynomial Expression",
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"id": 973410428908634100,
"author_id": 651545659035353100,
"author_name": "EthanRSR",
"timestamp": "05/09/2022 22:25:31",
"content": "Ik",
"attachments": [],
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},
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"author_id": 651545659035353100,
"author_name": "EthanRSR",
"timestamp": "05/09/2022 22:25:33",
"content": "🫠",
"attachments": [],
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},
{
"id": 973410707527860200,
"author_id": 839585438096293900,
"author_name": "Gwi-Nam",
"timestamp": "05/09/2022 22:26:37",
"content": "I forgot how to do it",
"attachments": [],
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},
{
"id": 973412354752675800,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "05/09/2022 22:33:10",
"content": "convert it into a list maybe?",
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"author_name": "Gwi-Nam",
"timestamp": "05/09/2022 22:33:49",
"content": "Ok",
"attachments": [],
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"author_name": "Gwi-Nam",
"timestamp": "05/09/2022 22:34:18",
"content": "Like the list wdym by that 😅",
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"author_id": 839585438096293900,
"author_name": "Gwi-Nam",
"timestamp": "05/09/2022 22:39:30",
"content": ".close",
"attachments": [],
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},
{
"id": 973413948302958600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 22:39:30",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
866d95a798f1422cbf9ddd247b5fa4ee
|
199,839 |
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{
"id": 973427607712448500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 23:33:47",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 973427945651728400,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:35:07",
"content": "Hi",
"attachments": [],
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},
{
"id": 973427947518177300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/09/2022 23:35:08",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:35:31",
"content": "$Q: if f=\\\\\\{(1,2),(2,4),(3,6),(4,8),(5,10)\\\\\\} \n\\,and\\, g=\\\\\\{(4,9),(6,13),(8,17),(5,11),(7,15)\\\\\\}.\\text{Show gof(x) and fog(x) in arrow diagram.}$",
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},
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"id": 973428916888948700,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:38:59",
"content": "Now it's gud",
"attachments": [],
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},
{
"id": 973428920819015700,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:39:00",
"content": "Ok",
"attachments": [],
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},
{
"id": 973428963978383400,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:39:10",
"content": "So how am I suppose to do it",
"attachments": [],
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},
{
"id": 973429017929711700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:39:23",
"content": "Q: if $f=\\{(1,2),(2,4),(3,6),(4,8),(5,10)\\}$ \nand $g={(4,9),(6,13),(8,17),(5,11),(7,15)}$. Show $g\\circ f(x)$ and $f\\circ g(x)$ in arrow diagram.",
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},
{
"id": 973429029703123000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/09/2022 23:39:26",
"content": "**Zybikron**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/973429029514412052/334482942506041345.png",
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"id": 973429062762631300,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:39:34",
"content": "Ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973429091669786600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:39:40",
"content": "Ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973429223538712700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/09/2022 23:40:12",
"content": "**! बाशुदेव**",
"attachments": [
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:40:19",
"content": "do you mean this by arrow diagram?",
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"id": 973429269868998700,
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"author_name": "BasuDev",
"timestamp": "05/09/2022 23:40:23",
"content": "Ye",
"attachments": [],
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},
{
"id": 973429459891921000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:41:08",
"content": "draw an arrow diagram of f.",
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},
{
"id": 973429470440611800,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:41:11",
"content": "I'm kinda confuse",
"attachments": [],
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},
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:41:21",
"content": "Ok",
"attachments": [],
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:41:25",
"content": "I've drawn",
"attachments": [],
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},
{
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:41:36",
"content": "Can u check if it is right or wrong",
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},
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:41:38",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/973429583498067978/20220510_091451.jpg",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:44:23",
"content": "so use that to draw a diagram for fog",
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},
{
"id": 973430348589453300,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:44:40",
"content": "Fog ok",
"attachments": [],
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},
{
"id": 973430359490453600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:44:43",
"content": "Wait a min",
"attachments": [],
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},
{
"id": 973430545390370800,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:45:27",
"content": "oop, yeah",
"attachments": [],
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},
{
"id": 973430554433302500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:45:29",
"content": "gof",
"attachments": [],
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},
{
"id": 973430613648498700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:45:43",
"content": "not fog",
"attachments": [],
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},
{
"id": 973430783425527900,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:46:24",
"content": "I'm suppose to find both actually",
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},
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"id": 973430818359894000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:46:32",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/973430817625870396/20220510_093108.jpg",
"fileName": "20220510_093108.jpg",
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},
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"id": 973430849120899100,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:46:39",
"content": "Is it right?",
"attachments": [],
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},
{
"id": 973431168571686900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:47:56",
"content": "2->9, 3->13, 4->17 is gof, the reverse is not fog",
"attachments": [],
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},
{
"id": 973431225970737200,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:48:09",
"content": "F",
"attachments": [],
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},
{
"id": 973431262603796500,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:48:18",
"content": "Ok",
"attachments": [],
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},
{
"id": 973431286398058500,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:48:24",
"content": "So what's fog",
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},
{
"id": 973431348729643100,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:48:39",
"content": "So fog and gof can't be in same diagram",
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},
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"id": 973431378240766000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:48:46",
"content": "?",
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},
{
"id": 973431565298303100,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:49:30",
"content": "they can, but not here",
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},
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"id": 973431616166834200,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:49:42",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973431677231710200,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:49:57",
"content": "What's fog",
"attachments": [],
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},
{
"id": 973431690867408900,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:50:00",
"content": "I got the gof",
"attachments": [],
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},
{
"id": 973431707816566800,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:50:04",
"content": "Now what's fog",
"attachments": [],
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"reference": null
},
{
"id": 973431840373354500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/09/2022 23:50:36",
"content": "f(g(x))",
"attachments": [],
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"id": 973431890344304600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "05/09/2022 23:50:48",
"content": "gof is g(f(x))",
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},
{
"id": 973431916634181600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:50:54",
"content": "Ik",
"attachments": [],
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},
{
"id": 973431920719454300,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:50:55",
"content": "Dude",
"attachments": [],
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},
{
"id": 973431954559098900,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:51:03",
"content": "How am I suppose to find it",
"attachments": [],
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},
{
"id": 973431999878545500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:51:14",
"content": "start with the domain of g, map an element, see where that goes in f",
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},
{
"id": 973432092169998300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:51:36",
"content": "for example, in g, 4->9, now looking at f, where does 9 go?",
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},
{
"id": 973432237645238300,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:52:10",
"content": "2",
"attachments": [],
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},
{
"id": 973432616789360600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:53:41",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973432639002411000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:53:46",
"content": "Am I right??",
"attachments": [],
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},
{
"id": 973432648854802400,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:53:48",
"content": "Or wot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973432922126315500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:54:54",
"content": "functions don't work backwards like that",
"attachments": [],
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},
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"id": 973432985892290600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/09/2022 23:55:09",
"content": "4 -> 9, not the other way",
"attachments": [],
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},
{
"id": 973433036572069900,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:55:21",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973433841505153000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:58:33",
"content": "Ok f",
"attachments": [],
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},
{
"id": 973433944362057700,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/09/2022 23:58:57",
"content": "Can u give me a simple example so that I can understand",
"attachments": [],
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},
{
"id": 973434379332354000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/10/2022 00:00:41",
"content": "f={(1,2)}, g={(2,3)}\nWhat is gof?",
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},
{
"id": 973434513793372200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/10/2022 00:01:13",
"content": "not as an arrow diagram or anything, you can write it as a set like f and g",
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},
{
"id": 973435932244078600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/10/2022 00:06:51",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973436193196888000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "05/10/2022 00:07:54",
"content": "Gof={(1,3)}",
"attachments": [],
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},
{
"id": 973437516122308600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/10/2022 00:13:09",
"content": "great",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973437555741712400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "05/10/2022 00:13:18",
"content": "how did you get that?",
"attachments": [],
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},
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"id": 973439969018392600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 00:22:54",
"content": "@BasuDev Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 00:37:54",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
65227dc1d1c94c918a846adaf4783f09
|
199,840 |
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"id": 973443998037459000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 00:38:54",
"content": "Available help channel!",
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},
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"id": 973448233286258700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 00:55:44",
"content": "Is a “circle” a circle if it isn’t perfectly round",
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"timestamp": "05/10/2022 00:55:45",
"content": "Pinned a message.",
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"author_name": "Deleted User",
"timestamp": "05/10/2022 00:56:17",
"content": "Same thing with triangles if all the degrees don’t add up to 180, if not what is it then cause I feel like when most people draw a circle it’s not a circle",
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"timestamp": "05/10/2022 01:05:12",
"content": "Yeah, I think so if someone draw an imperfect circle and says it is. lol",
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"id": 973450998821552100,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 01:06:43",
"content": "But most people say it’s a circle, so it’s just called an imperfect circle?",
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"content": "I like to see @Deleted User draw a perfect circle. I bet you can't",
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"timestamp": "05/10/2022 01:09:34",
"content": "I can",
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"timestamp": "05/10/2022 01:10:25",
"content": "I can’t but I’ll try",
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"content": "No one can. even a ruler is imperfect.",
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"timestamp": "05/10/2022 01:11:28",
"content": "If theyre meaning to draw a circle, but it doesn't look like a perfect circle, it's a still a circle because they tried to draw a circle.",
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"timestamp": "05/10/2022 01:12:05",
"content": "yep. I agree. even a 3 years old can draw a circle.",
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"content": "no",
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"content": "what",
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"content": "Bam, perfect circle. No one said not using technology wasn't allowed",
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"content": ":sotrue:",
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"content": ",rotate",
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"timestamp": "05/10/2022 01:13:11",
"content": "that's clearly an ellipse",
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"timestamp": "05/10/2022 01:13:12",
"content": "What is it then",
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"timestamp": "05/10/2022 01:13:19",
"content": "one side is 0.0001 cm longer",
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"timestamp": "05/10/2022 01:13:24",
"content": "not a circle",
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"timestamp": "05/10/2022 01:13:27",
"content": "It was the way I snipped it",
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"timestamp": "05/10/2022 01:13:45",
"content": "Ok",
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},
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"author_name": "Chunkin",
"timestamp": "05/10/2022 01:14:03",
"content": "if you're drawing u technically are just making very high sided polygons",
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"id": 973452873625141200,
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"timestamp": "05/10/2022 01:14:10",
"content": "🧠",
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},
{
"id": 973452956844318700,
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"author_name": "Gooaaa",
"timestamp": "05/10/2022 01:14:30",
"content": "then take the limit of it to make it smooth",
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},
{
"id": 973453072460312600,
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"timestamp": "05/10/2022 01:14:58",
"content": "I got another question",
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{
"id": 973453097147981800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/10/2022 01:15:04",
"content": "Some people will actually believe this",
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"timestamp": "05/10/2022 01:15:12",
"content": "If you say so. A look can be deceiving",
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"timestamp": "05/10/2022 01:15:18",
"content": "Better?",
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"timestamp": "05/10/2022 01:15:21",
"content": ",rotate",
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"id": 973453170464395300,
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"content": "",
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"id": 973453233450287100,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 01:15:36",
"content": "Is a square a square if all the corners aren’t right angles",
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"id": 973453270024601600,
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"timestamp": "05/10/2022 01:15:45",
"content": "And if it isn’t what is it",
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"timestamp": "05/10/2022 01:15:46",
"content": "no",
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"timestamp": "05/10/2022 01:15:51",
"content": "Nope.",
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"id": 973453301590949900,
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"author_name": "Gooaaa",
"timestamp": "05/10/2022 01:15:52",
"content": "a four sides polygon",
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"timestamp": "05/10/2022 01:15:55",
"content": "sided",
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"id": 973453312093462700,
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"timestamp": "05/10/2022 01:15:55",
"content": "Parallelogram, if the opposite sides remain parallel",
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"id": 973453331898961900,
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"timestamp": "05/10/2022 01:16:00",
"content": "Oh okay",
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"id": 973453371258327000,
"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/10/2022 01:16:09",
"content": "is a apple an apple if it's a fucking pear?",
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"id": 973453387523842000,
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"timestamp": "05/10/2022 01:16:13",
"content": "yes",
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},
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"id": 973453412681277400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 01:16:19",
"content": "It could be",
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"id": 973453468067065900,
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"timestamp": "05/10/2022 01:16:32",
"content": "Or just quadrilateral otherwise",
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"id": 973453601617883100,
"author_id": 956973920991473700,
"author_name": "ymme",
"timestamp": "05/10/2022 01:17:04",
"content": "❤️",
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},
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"author_name": "riemann",
"timestamp": "05/10/2022 01:17:11",
"content": "Is a Chunkin a Chuckin if it's a fucking Shiba",
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"timestamp": "05/10/2022 01:17:18",
"content": "yes",
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"timestamp": "05/10/2022 01:17:24",
"content": "yes",
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"id": 973453816341078000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 01:17:55",
"content": "What is 2 + 2",
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},
{
"id": 973453823769198600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/10/2022 01:17:57",
"content": "Is a wet towel dry",
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"id": 973453908435402800,
"author_id": 456226577798135800,
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"timestamp": "05/10/2022 01:18:17",
"content": "Yes",
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},
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"id": 973453912008970200,
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"timestamp": "05/10/2022 01:18:18",
"content": "yes if it got dried",
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},
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"id": 973454053541576700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 01:18:52",
"content": "but microscopoly it's dry because atoms can't get wet",
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"id": 973454113415250000,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 01:19:06",
"content": "What’s the highest number people have discovered",
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},
{
"id": 973454133996716000,
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"timestamp": "05/10/2022 01:19:11",
"content": "yet",
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},
{
"id": 973454162752831500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 01:19:18",
"content": "my mom's weight",
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},
{
"id": 973454177068003300,
"author_id": 136232145256448000,
"author_name": "Frańk",
"timestamp": "05/10/2022 01:19:21",
"content": "6",
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},
{
"id": 973454335205851100,
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"timestamp": "05/10/2022 01:19:59",
"content": "6 + 1",
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},
{
"id": 973454389979275300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 01:20:12",
"content": "@Deleted User close the channel if u don't have any question anymore that can be solved by just googling",
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"id": 973454484959289300,
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"timestamp": "05/10/2022 01:20:35",
"content": "hmmmmm",
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"id": 973454490395091100,
"author_id": 136232145256448000,
"author_name": "Frańk",
"timestamp": "05/10/2022 01:20:36",
"content": "Yee talk about this in a general channel if you want to have a conversation ^_^",
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"id": 973454515145691100,
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"timestamp": "05/10/2022 01:20:42",
"content": "Ok",
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},
{
"id": 973454555889147900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 01:20:52",
"content": "But sometimes I have questions that I can’t put into specific words",
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"timestamp": "05/10/2022 01:20:57",
"content": "someone decided it was 4",
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"content": ",w solve 2+2",
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"content": "gimmie a number",
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"content": "at which point new words will be made, and the list will continue. So they won't run out of words",
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"content": "Unless we create a new language",
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"content": "and? there's no limit to how long a word can be, so there's no limit on how many strings are possible",
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"content": "Probably",
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"content": "Your right",
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"content": "So we will never run out",
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"content": ",w solve 53!",
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"content": ",w solve 100!!",
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"content": ",w 193923u4928u423048230948320948234923840238423948309806867630495867304596873456834576934534534534534523453452345234523452452345234523452345",
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"content": "Or it could be just a guy with sticks",
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"content": "how high are you right now?",
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"content": "Hi how are you",
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"content": "that high huh....",
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"content": "Is there a limit on how bight computers can count",
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"content": "Nvm they probably isn’t",
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"content": "We’ll I’m heading to bed hope you all have a great night",
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"timestamp": "05/10/2022 01:34:20",
"content": ",d/dx 69420cos(x^x^x)+sqrt(1/x^3)+699420 + x^4",
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"content": "I meant high",
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"content": "And I hope you find your answers",
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"content": ",w d/dx 69420cos(x^x^x)+sqrt(1/x^3)+699420 + x^4",
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"content": "Results provided by WolframAlpha",
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"content": ",w solve \\int \\left(x^3+1\\right)^{\\frac{1}{3}}x^5dx",
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"content": ",w d/dx x^x^x^x^x^x",
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"content": ",w d/dx x^x^x^x^x",
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"content": "Results provided by WolframAlpha",
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"timestamp": "05/10/2022 01:36:21",
"content": "what does this mean",
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"content": "da derative",
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"timestamp": "05/10/2022 01:36:40",
"content": "Ok",
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"content": "basically the velocity of a graph",
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"timestamp": "05/10/2022 01:37:38",
"content": "Do computers have a limit on how smart they can get",
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"timestamp": "05/10/2022 01:38:33",
"content": "well, it was fun for a while. 😑",
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"timestamp": "05/10/2022 01:39:10",
"content": "yes or no",
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"content": "no",
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"timestamp": "05/10/2022 01:41:20",
"content": "define smart.",
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"timestamp": "05/10/2022 01:42:10",
"content": "Having knowledge",
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"author_name": "ymme",
"timestamp": "05/10/2022 01:43:09",
"content": "is having a common sense smart? being funny smart? having a lots of money being smart?",
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"content": "I heard someone said they were smart because he is a quick thinker.",
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"timestamp": "05/10/2022 01:43:52",
"content": "Well thoose examples all have knowledge so probably",
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"content": "computer can have a common sense? no.",
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"content": "Okay nvm",
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"timestamp": "05/10/2022 01:45:00",
"content": "I realized my mistake",
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"timestamp": "05/10/2022 01:45:08",
"content": "It was a dumb question",
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"timestamp": "05/10/2022 01:45:37",
"content": "which one?",
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"timestamp": "05/10/2022 01:46:30",
"content": "Well the question wasn’t but what I thought was",
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"content": "@Deleted User Has your question been resolved?",
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"content": "They will never be",
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"timestamp": "05/10/2022 02:05:37",
"content": "How do computers do math",
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"content": "a set of instructions.",
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] |
help-9
|
edfb050be5384f47bcdd0486994b3e1e
|
199,841 |
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"content": "Available help channel!",
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"content": "Do We take the exponent number only for the first problem and then apply Euclid's Algorithm?",
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"content": "And For The Second one we take the number of 1's in the decimal representation and apply the Euclidean Algorithm To Both.",
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"id": 973472491097952300,
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"timestamp": "05/10/2022 02:32:08",
"content": "it isn't clear why you would resort to such underhanded shortcuts",
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"content": "you don't need any of that here",
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"content": "$\\gcd(2^{100} - 1, 2^{120} - 1) \\\\ = \\gcd( (2^{20} - 1)(2^{80} + 2^{60} + 2^{40} + 2^{20} + 1), (2^{20}-1)(2^{100} + 2^{80} + 2^{60} + 2^{40} + 2^{20} + 1)) \\\\ = (2^{20} - 1) \\gcd(2^{80} + 2^{60} + 2^{40} + 2^{20} + 1, 2^{100} + 2^{80} + 2^{60} + 2^{40} + 2^{20} + 1)$",
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"content": "**Ann**",
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"content": "@krix Has your question been resolved?",
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help-9
|
45bbf320cd39441cb0669b013ad11e08
|
199,842 |
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{
"id": 955307029147304000,
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"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 23:29:04",
"content": "Available help channel!",
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{
"id": 955307784377888800,
"author_id": 777263833516343300,
"author_name": "Misk",
"timestamp": "03/20/2022 23:32:04",
"content": "Can someone come up with the most funny/creative and unique way to find the value of pi? It doesn’t have to be ENTIRELY math related.",
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"timestamp": "03/20/2022 23:47:04",
"content": "@Misk Has your question been resolved?",
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"author_id": 719931318225469600,
"author_name": "TheStig",
"timestamp": "03/21/2022 00:16:16",
"content": "one that comes to my mind would be using monte carlo simulation to find pi",
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"content": "looks like this in mathematica",
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"timestamp": "03/21/2022 00:29:33",
"content": "@Misk Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
2959e17e93a34979a2331ee001fd212b
|
199,843 |
[
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"timestamp": "03/24/2022 17:18:45",
"content": "Available help channel!",
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},
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"id": 956665629111377900,
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"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:27:45",
"content": "help???",
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},
{
"id": 956665809676153000,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:28:23",
"content": "never done this kind of stuff before",
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},
{
"id": 956665811932684400,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:28:23",
"content": "whats the problem?",
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},
{
"id": 956665914617630700,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:28:48",
"content": "never encountered this type of questions before",
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},
{
"id": 956665942383939600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:28:54",
"content": "$u_{n+1} = 4 u_n$",
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},
{
"id": 956665953255587800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 17:28:57",
"content": "**Navix**",
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"id": 956665992002551900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:29:06",
"content": "means the next term is always the previous term times 4",
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},
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"id": 956666124509016000,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:29:38",
"content": "so if u_1 = 1, the next term is u_2 = ?",
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"id": 956666152011059200,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:29:44",
"content": "4",
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},
{
"id": 956666163406975000,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:29:47",
"content": "yes",
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},
{
"id": 956666222039146600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:30:01",
"content": "then the same for u_3",
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},
{
"id": 956666274732204000,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:30:13",
"content": "what if there was no +1??",
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},
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"id": 956666419813179400,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:30:48",
"content": "wdym?",
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},
{
"id": 956666496740896900,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:31:06",
"content": "what if it just said u",
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},
{
"id": 956666503594401800,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:31:08",
"content": "n",
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},
{
"id": 956666557893849200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:31:21",
"content": "u_n = 4 u_n?",
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},
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"id": 956666674243862500,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/24/2022 17:31:49",
"content": "that wouldn't make any sense unless u_n is always 0",
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},
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"id": 956669770256756900,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:44:07",
"content": "/leave",
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},
{
"id": 956669975903481900,
"author_id": 671806897107501000,
"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:44:56",
"content": "where does + 5 come from and how do they get 225?",
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"author_name": "ＺＥＮＣＩ",
"timestamp": "03/24/2022 17:45:10",
"content": "@Helpers",
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},
{
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"author_id": 805217272087838700,
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"timestamp": "03/24/2022 18:00:11",
"content": "@ＺＥＮＣＩ Has your question been resolved?",
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"timestamp": "03/24/2022 18:15:11",
"content": "Channel closed",
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}
] |
help-9
|
07cef0027d0040229fa0c5d04e45346d
|
199,844 |
[
{
"id": 973479350211068000,
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"timestamp": "05/10/2022 02:59:23",
"content": "Oh My Oh My.",
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"content": "Available help channel!",
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"id": 973493057049731100,
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"timestamp": "05/10/2022 03:53:51",
"content": "Pinned a message.",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 03:59:56",
"content": "Please close the channel if you won't be asking a serieus relevant math-homework type question.",
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},
{
"id": 973495453012336600,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "05/10/2022 04:03:22",
"content": "@Moderators",
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"content": "ty",
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},
{
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "05/10/2022 04:03:55",
"content": ".close",
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},
{
"id": 973495592120643600,
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"content": "Channel closed",
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}
] |
help-9
|
2220f2ecff2748b1bcc5789f49258131
|
199,845 |
[
{
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"timestamp": "05/10/2022 05:10:09",
"content": "Available help channel!",
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},
{
"id": 973514076670001200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:17:34",
"content": "I'm trying to do integral by partial fractions",
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"id": 973514175097757700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:17:46",
"content": "i split up the fractions into A B C",
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"id": 973514199902847100,
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"timestamp": "05/10/2022 05:17:52",
"content": "and for A i got A = 1/6",
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{
"id": 973514309743312900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:18:18",
"content": "but not sure how to get B or C",
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},
{
"id": 973514411169947600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:18:42",
"content": "1 = A(x+1)(x+2) + B(x-1)(x+2) + C(x-1)(x+1)",
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},
{
"id": 973514458355888100,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:18:53",
"content": "so for A, I was able to get A by using x = 1",
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},
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"id": 973514498788950000,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:19:03",
"content": "for B can I use x = -1?",
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},
{
"id": 973514616342724600,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:19:31",
"content": "would it be 1 = 0 + B(-2) + 0?",
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},
{
"id": 973514650664726500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:19:39",
"content": "or 1 = 1/6 + B(-2) + 0?",
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},
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"id": 973515790387138600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 05:24:11",
"content": "1=-2B",
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},
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"id": 973515985543893000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 05:24:58",
"content": "how did u come at the second one",
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},
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"id": 973516961046757400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:28:50",
"content": "i plugged in 1/6 for A",
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"id": 973517008425611400,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:29:01",
"content": "So if this is correct",
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"id": 973517079732973600,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:29:18",
"content": "it should be -1/2 ln (x+1) for the middle term",
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},
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"id": 973517095222534100,
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"author_name": "Deleted User",
"timestamp": "05/10/2022 05:29:22",
"content": "on wolfram",
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"id": 973517114407284700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/10/2022 05:29:27",
"content": "it is 3 not -1/2",
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{
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"timestamp": "05/10/2022 05:29:35",
"content": "so i was wondering if i made a mistake",
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"timestamp": "05/10/2022 05:29:56",
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"timestamp": "05/10/2022 05:30:30",
"content": "any clue?",
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"id": 973519473120272400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/10/2022 05:38:49",
"content": "they simplified it",
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"timestamp": "05/10/2022 05:39:16",
"content": "1/6()-1/2()+1/3() form is also right",
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"timestamp": "05/10/2022 05:45:30",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "05/10/2022 06:00:30",
"content": "Channel closed",
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}
] |
help-9
|
5a04eb29f2a14d7a935c5fb8f100ad9e
|
199,846 |
[
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"timestamp": "05/10/2022 06:01:31",
"content": "Available help channel!",
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},
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"id": 973527716399824900,
"author_id": 897732241516531700,
"author_name": "mc768",
"timestamp": "05/10/2022 06:11:34",
"content": "how much Equilateral triangle here?",
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"content": "Pinned a message.",
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"id": 973527915625054200,
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"timestamp": "05/10/2022 06:12:22",
"content": "there is 32 triangle",
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},
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"id": 973527972185272300,
"author_id": 897732241516531700,
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"timestamp": "05/10/2022 06:12:35",
"content": "a triangle with 4 triangle = 8",
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"timestamp": "05/10/2022 06:13:25",
"content": "8x4",
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"timestamp": "05/10/2022 06:14:11",
"content": "Nvm there is more oblique",
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"timestamp": "05/10/2022 06:27:55",
"content": "@mc768 Has your question been resolved?",
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"timestamp": "05/10/2022 06:42:55",
"content": "Channel closed",
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}
] |
help-9
|
a0826d408e064a7d8dd3dc48e96f8fd4
|
199,847 |
[
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"id": 973535859863355400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 06:43:56",
"content": "Available help channel!",
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},
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"id": 973537681101430900,
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"author_name": "J__l. J",
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"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "05/10/2022 06:51:14",
"content": "what does this mean?",
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},
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"id": 973537974996316200,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "05/10/2022 06:52:20",
"content": "is asking to find the magnitude of i and j and the ^2?",
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"id": 973538703718891500,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/10/2022 06:55:14",
"content": "the norm squared of the vector v(t)",
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"id": 973538872015347700,
"author_id": 579997429613461500,
"author_name": "J__l. J",
"timestamp": "05/10/2022 06:55:54",
"content": "do you have to find magnitude by sqrt(v(t)) and the square that",
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"timestamp": "05/10/2022 06:56:22",
"content": "if v(t) = (a,b,c), then \\||v\\||^2=a^2 + b^2 + c^2",
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"timestamp": "05/10/2022 06:56:37",
"content": "hmm ok",
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"author_name": "J__l. J",
"timestamp": "05/10/2022 06:58:30",
"content": "so then if it askes you find the local extrema at these points would you sub them into t?",
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"content": "@J__l. J Has your question been resolved?",
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"timestamp": "05/10/2022 07:43:39",
"content": "@J__l. J Has your question been resolved?",
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"timestamp": "05/10/2022 07:44:05",
"content": "Channel closed",
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}
] |
help-9
|
09226d39e5994e3fbcf42ce4fe747ab6
|
199,848 |
[
{
"id": 973553136134398000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 07:52:35",
"content": "Available help channel!",
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},
{
"id": 973554469977612300,
"author_id": 131164629790359550,
"author_name": "Zirker",
"timestamp": "05/10/2022 07:57:53",
"content": "I'm trying to find 2 functions, `f` and `g` that meet the criteria\n``f(x)/g(x) = 3``\n``f(x)/g(x+1) = 2``\n``g(1) = 10 ``\n\nI found a solution by dividing one equation by the other to get\n``g(x+1) = 3/2 * g(x) ``\nwhich gives me this\n``g(x) = (2/3)^(x-1) * 10``\n\nMy question is if this is the only solution",
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"id": 973554472393519100,
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"timestamp": "05/10/2022 07:57:53",
"content": "Pinned a message.",
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"id": 973555128122630100,
"author_id": 131164629790359550,
"author_name": "Zirker",
"timestamp": "05/10/2022 08:00:30",
"content": "if someone answers pls ping me",
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 08:15:30",
"content": "@Zirker Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 08:45:33",
"content": "@Zirker Has your question been resolved?",
"attachments": [],
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "05/10/2022 09:08:08",
"content": "so f is simply 3g and 3g(x)=2g(x+1) for all x plus we have g(1)=10, you can simply take g to be a geometric sequence. find g separately and just plug it into the formula f(x)=3g(x) to find f",
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"author_name": "R00tKiT",
"timestamp": "05/10/2022 09:09:16",
"content": "if g is continuous just take g(n)=terms of the geometric sequence for the integers and g(x) a linear function that gets you from g(n) to g(n+1) for x in ]n;n+1[",
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{
"id": 973573034696921100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/10/2022 09:11:39",
"content": "**AimaneSN**",
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 09:45:38",
"content": "@Zirker Has your question been resolved?",
"attachments": [],
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"timestamp": "05/10/2022 10:45:38",
"content": "Channel closed",
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}
] |
help-9
|
3c6322e7abb24ccc96a8b892c964b9b8
|
199,849 |
[
{
"id": 973605105758785500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 11:19:05",
"content": "Available help channel!",
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},
{
"id": 973605749651542000,
"author_id": 580256676142252000,
"author_name": "Yolkyshelf901",
"timestamp": "05/10/2022 11:21:39",
"content": "I need a graph and the prosigues plis 🙂",
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"id": 973605751991992300,
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"timestamp": "05/10/2022 11:21:39",
"content": "Pinned a message.",
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"messageId": 973605749651542000,
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}
},
{
"id": 973605802487218200,
"author_id": 580256676142252000,
"author_name": "Yolkyshelf901",
"timestamp": "05/10/2022 11:21:52",
"content": ".close",
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},
{
"id": 973605804894715900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 11:21:52",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7415b4f09ab84afeb34e3e2d10bf652d
|
199,850 |
[
{
"id": 973605931814371300,
"author_id": 580256676142252000,
"author_name": "Yolkyshelf901",
"timestamp": "05/10/2022 11:22:22",
"content": ".reopen",
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},
{
"id": 973605935706701800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 11:22:23",
"content": "✅",
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},
{
"id": 973608808318374000,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/10/2022 11:33:48",
"content": "f(x)=(x2+6x+9)(2x-4)\nf(x)=2x3-4x2+12x2-24x+18x-36\nf(x)=2x3+8x2-6x-36",
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},
{
"id": 973609644884906000,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/10/2022 11:37:08",
"content": "x=1\ny=2+8-6+36=40\nx=2\ny=2*8+8*4-6*2-36=16+32-12-36=0",
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},
{
"id": 973609695262695400,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/10/2022 11:37:20",
"content": "id,ke maybe wrong",
"attachments": [],
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"reference": null
},
{
"id": 973609709028409300,
"author_id": 594631947050025000,
"author_name": "aol",
"timestamp": "05/10/2022 11:37:23",
"content": "may be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973610968292659200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 11:42:23",
"content": "@Yolkyshelf901 Has your question been resolved?",
"attachments": [],
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{
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"name": "Yolkyshelf901",
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 11:57:23",
"content": "Channel closed",
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}
] |
help-9
|
803de5cc82e1441c9e92f1f093eb24db
|
199,851 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 12:42:00",
"content": "Available help channel!",
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},
{
"id": 973626058588966900,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
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"timestamp": "05/10/2022 12:42:22",
"content": "Pinned a message.",
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"id": 973626121897791500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:42:36",
"content": "guys any idea on how to solve this?",
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},
{
"id": 973627059601559600,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:46:20",
"content": "Express this data.",
"attachments": [],
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},
{
"id": 973627075669946400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:46:23",
"content": "What have you tried so far?",
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},
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"id": 973627269601956000,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:47:10",
"content": "i have got one equation as for the other, i am trying to figure it out",
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"id": 973627339214839900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:47:26",
"content": "You made a = 6b right?",
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"id": 973627358814801900,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:47:31",
"content": "yep",
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{
"id": 973627365047537700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:47:32",
"content": "Lol.",
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},
{
"id": 973627378079240200,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:47:36",
"content": "lol",
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},
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"id": 973627404696301600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:47:42",
"content": "the main one is remaining",
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},
{
"id": 973627538465226800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:48:14",
"content": "Well a is definitely after 45 that can you imagine?",
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},
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"id": 973627590508159100,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:48:26",
"content": "yep",
"attachments": [],
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},
{
"id": 973627595449040900,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:48:27",
"content": "of",
"attachments": [],
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},
{
"id": 973627606001918100,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:48:30",
"content": "ofc",
"attachments": [],
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},
{
"id": 973627674054500500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:48:46",
"content": "or how else can 15 mins make it upto more than 3 o clock",
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},
{
"id": 973627730430156900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:49:00",
"content": "Yeah, just making sure we're one the same page.",
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},
{
"id": 973627792619085800,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:49:14",
"content": "hmm",
"attachments": [],
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},
{
"id": 973628145473290200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:50:39",
"content": "Well",
"attachments": [],
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},
{
"id": 973628163294888100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:50:43",
"content": "a + 15",
"attachments": [],
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},
{
"id": 973628195691692000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:50:50",
"content": "= 60 + b",
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},
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"id": 973628217577599000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:50:56",
"content": "Does this make sense?",
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"id": 973628472536739800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:51:56",
"content": "2:00 + a minutes. Then + 15 means\na + 15 minutes after 2. \nWhich is 3:00 and b minutes hence 60 + b minutes.",
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"id": 973628990256459900,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:54:00",
"content": "hmm so both lhs and rhs are pointing towards the same time right?",
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"author_name": "Night Wølf",
"timestamp": "05/10/2022 12:54:34",
"content": "@Yours truly",
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"timestamp": "05/10/2022 12:54:54",
"content": "Yes that is minutes.",
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"author_id": 748029603087384700,
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"timestamp": "05/10/2022 12:55:01",
"content": "a + 15 minutes.",
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"timestamp": "05/10/2022 12:55:07",
"content": "= 60 + b.",
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"id": 973629284491087900,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "05/10/2022 12:55:10",
"content": "Of course minutes.",
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"author_name": "Night Wølf",
"timestamp": "05/10/2022 13:00:03",
"content": "hmm thanks buddy lemm try it out now",
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"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 13:15:03",
"content": "@Night Wølf Has your question been resolved?",
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"author_name": "Night Wølf",
"timestamp": "05/10/2022 13:21:25",
"content": "@Yours truly do u know any pdf or site that explains how to use the matrix method?",
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"timestamp": "05/10/2022 13:22:03",
"content": "Unfortunately not. I'll have to look that up, the same way you'll have to. You could check YouTube videos I suppose.",
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"content": "hmm",
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"timestamp": "05/10/2022 13:23:10",
"content": ".close",
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},
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"id": 973636331857129600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 13:23:10",
"content": "Channel closed",
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}
] |
help-9
|
0cb4b0498b6645879aff1c24fea8a01b
|
199,852 |
[
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"content": "Available help channel!",
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"id": 973651749531439200,
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"content": "if the radius is 5 and square root of 2, why can we assume the triangle has a degree of 45?",
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"content": "Pinned a message.",
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"timestamp": "05/10/2022 14:33:46",
"content": "u can already assume that because |x| = |y|",
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"content": "@mint Has your question been resolved?",
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"timestamp": "05/10/2022 14:40:18",
"content": "#help-6｜long-wang-龙王",
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"timestamp": "05/10/2022 14:49:47",
"content": "thanks @Chunkin",
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"timestamp": "05/10/2022 14:49:49",
"content": ".close",
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}
] |
help-9
|
61abdad1ba54474baec528e304443657
|
199,853 |
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"content": "Available help channel!",
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},
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"author_id": 803997344613662700,
"author_name": "Chunkin",
"timestamp": "05/10/2022 15:10:57",
"content": "what's the area",
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"id": 973663540990857200,
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"author_name": "Chunkin",
"timestamp": "05/10/2022 15:11:17",
"content": "between these",
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"content": "use integration to help you",
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"id": 973663662717943800,
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"author_name": "Chunkin",
"timestamp": "05/10/2022 15:11:46",
"content": "$$\\sin\\left(x\\right)+1>y>-\\sin\\left(x\\right)+1 \\text{ from 0 to π}$$",
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"timestamp": "05/10/2022 15:12:15",
"content": "idk calc 💀",
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"timestamp": "05/10/2022 15:12:23",
"content": "but how would you set up the equation",
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"timestamp": "05/10/2022 15:12:43",
"content": "**Chunkin**",
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"content": "$\\int_{0}^{\\pi} sin(x)-(-sin(x)) \\,dx$",
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"timestamp": "05/10/2022 15:14:28",
"content": "**exploseph**",
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"timestamp": "05/10/2022 15:14:32",
"content": "my bad",
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"timestamp": "05/10/2022 15:15:57",
"content": "wait that's just 2 sin x",
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"timestamp": "05/10/2022 15:16:25",
"content": "but where does it take into account the + 1? Or does it not need to",
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"content": "@exploseph",
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"timestamp": "05/10/2022 15:19:06",
"content": "they cancelled out",
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"content": "ok",
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"timestamp": "05/10/2022 15:19:46",
"content": "yooo",
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"timestamp": "05/10/2022 15:19:49",
"content": "it's 4",
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"content": "have you learn calculus",
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"content": "that's cool",
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"timestamp": "05/10/2022 15:20:03",
"content": "you should porbably pay attention in class",
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"content": "does it seem like I have 💀",
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"content": "I'm in alg 2",
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"content": "I know the concept of derivatives and integrals tho",
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"timestamp": "05/10/2022 15:21:30",
"content": ":sully:",
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"content": ":kekw:",
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"content": "@Chunkin Has your question been resolved?",
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] |
help-9
|
05c587df35f3462498a73f73ad7208be
|
199,854 |
[
{
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"timestamp": "03/24/2022 18:16:11",
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},
{
"id": 956682198470230000,
"author_id": 688187706546716700,
"author_name": "Joven",
"timestamp": "03/24/2022 18:33:30",
"content": "Hey what are two ways I can find the derivative of f(x) = (x^2 + x - 1)(x^3 + 8)",
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"timestamp": "03/24/2022 18:33:47",
"content": "expand or do product",
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},
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"timestamp": "03/24/2022 18:38:29",
"content": "whats different about the two methods",
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},
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"id": 956683792456765400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/24/2022 18:39:50",
"content": "no difference in answer. maybe difference in your ability to bookkeep algebra correctly",
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},
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"timestamp": "03/24/2022 18:53:30",
"content": "@Joven Has your question been resolved?",
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"timestamp": "03/24/2022 18:53:36",
"content": "Channel closed",
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}
] |
help-9
|
4f66fbdfa59d43a297b8cb53812f3919
|
199,855 |
[
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"timestamp": "05/10/2022 15:53:39",
"content": "Available help channel!",
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},
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"id": 973675206944116700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "05/10/2022 15:57:39",
"content": "does someone mind helping with this problem...I'm confused after the distance formula part",
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"timestamp": "05/10/2022 15:57:39",
"content": "Pinned a message.",
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"timestamp": "05/10/2022 16:00:32",
"content": "I'm not supposed to graph it",
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},
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"author_id": 714948797012246500,
"author_name": "Warum5734",
"timestamp": "05/10/2022 16:00:58",
"content": "Well damn",
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},
{
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"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "05/10/2022 16:05:48",
"content": "I'm confused about what the problem is asking - like a midpoint?",
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},
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"timestamp": "05/10/2022 16:15:32",
"content": "@meowwwwww Has your question been resolved?",
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"content": "@meowwwwww Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
75a6b65875f24f3b83ae1693faf57044
|
199,856 |
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"content": "Available help channel!",
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"id": 973692529025372200,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "05/10/2022 17:06:29",
"content": "Well did you try any approach?",
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"id": 973692857808482300,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "05/10/2022 17:07:47",
"content": "Or you don't have any idea?",
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"id": 973693334071681000,
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"author_name": "piang",
"timestamp": "05/10/2022 17:09:41",
"content": ".close",
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},
{
"id": 973693335455793200,
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"content": "Channel closed",
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}
] |
help-9
|
ce14ba425987457aa1385937b66fa531
|
199,857 |
[
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"timestamp": "05/10/2022 17:16:32",
"content": "Available help channel!",
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},
{
"id": 973699132025884700,
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"timestamp": "05/10/2022 17:32:43",
"content": "Pinned a message.",
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"id": 973699224539627500,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:33:05",
"content": "So I solved this but I want to check my answer",
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"id": 973699383692525600,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:33:43",
"content": "I made the left side CSC^2x/1 + 1/cos^2x",
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},
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"id": 973699500059267200,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:34:11",
"content": "And then combining those got me csc^2x/cos^2x",
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"id": 973699518094790800,
"author_id": 963150548159332600,
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"timestamp": "05/10/2022 17:34:15",
"content": "Is this right?",
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},
{
"id": 973699868252045400,
"author_id": 942045042552504300,
"author_name": "…..",
"timestamp": "05/10/2022 17:35:39",
"content": "I don’t think this is the right way to do it",
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},
{
"id": 973699965991944300,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:36:02",
"content": "Oh we don’t have a specific way",
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},
{
"id": 973700053845823500,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:36:23",
"content": "But would it work like that?",
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},
{
"id": 973700170866888700,
"author_id": 942045042552504300,
"author_name": "…..",
"timestamp": "05/10/2022 17:36:51",
"content": "you cant just combine two fractions without multiplying both of them by the denominator of the other",
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},
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"id": 973700375720919000,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:37:40",
"content": "I crossed out the 1",
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},
{
"id": 973700400337268900,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:37:45",
"content": "and then it just became how it is",
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},
{
"id": 973700485712322600,
"author_id": 963150548159332600,
"author_name": "مصطفى",
"timestamp": "05/10/2022 17:38:06",
"content": "so you are saying that wouldn’t work?",
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{
"id": 973700507237482500,
"author_id": 942045042552504300,
"author_name": "…..",
"timestamp": "05/10/2022 17:38:11",
"content": "no",
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},
{
"id": 973700738360418400,
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"author_name": "مصطفى",
"timestamp": "05/10/2022 17:39:06",
"content": "ok nice thanks",
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},
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"author_name": "مصطفى",
"timestamp": "05/10/2022 17:39:22",
"content": ".close",
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},
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"id": 973700806916317200,
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"content": "Channel closed",
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}
] |
help-9
|
533f687abf4b4150adedf16ca7db425c
|
199,858 |
[
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},
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"content": "Pinned a message.",
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"author_id": 810553469265379300,
"author_name": "spaghetteeeeee",
"timestamp": "05/10/2022 17:55:29",
"content": "can somebody give me a hint",
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},
{
"id": 973704969628831700,
"author_id": 810553469265379300,
"author_name": "spaghetteeeeee",
"timestamp": "05/10/2022 17:55:55",
"content": "i'm lost on this question",
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"timestamp": "05/10/2022 18:10:55",
"content": "@spaghetteeeeee Has your question been resolved?",
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"timestamp": "05/10/2022 18:13:29",
"content": "maximum involves a derivative",
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"author_name": "spaghetteeeeee",
"timestamp": "05/10/2022 18:24:39",
"content": "but when i graph the function and its derivative, its always increasing",
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"content": "Channel closed",
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] |
help-9
|
f127fb3392b14148a67d8a238c113cff
|
199,859 |
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"content": "Available help channel!",
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},
{
"id": 973722454109356000,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 19:05:23",
"content": "Can someone explain to me how I'm supposed to simplify (x^100)^2?",
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"timestamp": "05/10/2022 19:05:51",
"content": "Is it just multiplation so then is it x^200?",
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"id": 973722636381216800,
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"content": "I'm talking about the denominator",
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"id": 973723219116818400,
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"timestamp": "05/10/2022 19:08:26",
"content": "@Helpers",
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},
{
"id": 973723725327384600,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 19:10:27",
"content": "Nevermind I found out",
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"id": 973723732902285400,
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"timestamp": "05/10/2022 19:10:28",
"content": ".close",
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"id": 973723734231908500,
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"content": "Channel closed",
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}
] |
help-9
|
a009e6fc9788461d9d6c7720d9d3fb3f
|
199,860 |
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"content": "Available help channel!",
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"id": 973727847753588700,
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"timestamp": "05/10/2022 19:26:49",
"content": "Can someone help me and tell me if I got these correct? Been trying to learn this but it's hard because I don't know if I got them correct",
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"content": "Pinned a message.",
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"timestamp": "05/10/2022 19:41:50",
"content": "@Thatjman Has your question been resolved?",
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"id": 973731711294791700,
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"timestamp": "05/10/2022 19:42:11",
"content": "@Helpers",
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},
{
"id": 973731880534958100,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 19:42:51",
"content": "Imma take a look",
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},
{
"id": 973731911073685500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 19:42:58",
"content": "Alright thank you",
"attachments": [],
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},
{
"id": 973731961203998700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 19:43:10",
"content": "could you write just your plain answers on a separate sheet please?",
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"id": 973732001330892900,
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"timestamp": "05/10/2022 19:43:20",
"content": "Sure",
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"author_name": "nils",
"timestamp": "05/10/2022 19:43:29",
"content": "Not trying to be rude but its not that easy to read haha",
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"timestamp": "05/10/2022 19:43:42",
"content": "Haha I know I'm kinda messy no problem",
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"content": "i know the feel",
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"timestamp": "05/10/2022 19:47:09",
"content": "Okay lets start with the first one",
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"timestamp": "05/10/2022 19:47:27",
"content": "when you see roots",
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"timestamp": "05/10/2022 19:47:37",
"content": "always write them as exponents",
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"timestamp": "05/10/2022 19:47:58",
"content": "so that would become (4x)^1/3",
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"timestamp": "05/10/2022 19:48:01",
"content": "Yeah?",
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"id": 973733195453444100,
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"author_name": "Thatjman",
"timestamp": "05/10/2022 19:48:04",
"content": "Yes",
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"id": 973733243524362200,
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"author_name": "nils",
"timestamp": "05/10/2022 19:48:16",
"content": "Okay now you need to differentiate that",
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"author_name": "nils",
"timestamp": "05/10/2022 19:48:28",
"content": "PS: always write brackets like i did",
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"author_name": "nils",
"timestamp": "05/10/2022 19:48:41",
"content": "really important to keep stuff visible",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 19:48:50",
"content": "Ok will do",
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"author_name": "nils",
"timestamp": "05/10/2022 19:48:59",
"content": "So we need do differentiate (4x)^1/3",
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"timestamp": "05/10/2022 19:49:14",
"content": "What were gonna do first is seperate our coefficients",
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"timestamp": "05/10/2022 19:49:44",
"content": "because whats written there is the same as (4)^1/3 * (x)^1/3",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 19:49:52",
"content": "This it?",
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"timestamp": "05/10/2022 19:50:09",
"content": "Almonst",
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"timestamp": "05/10/2022 19:50:26",
"content": "This is why you need to seperate your coefficients",
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"timestamp": "05/10/2022 19:50:42",
"content": "So we have (4)^1/3 * (x)^1/3",
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"timestamp": "05/10/2022 19:51:08",
"content": "We dont need to touch that constant anymore because its seperate from our x",
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"timestamp": "05/10/2022 19:51:24",
"content": "So now we just differentiate x^1/3",
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"timestamp": "05/10/2022 19:51:34",
"content": "Ahh I see I'll try that",
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"author_name": "nils",
"timestamp": "05/10/2022 19:52:53",
"content": "so then your answer would be (4)^1/3 * (x^-2/3)/3",
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"author_name": "nils",
"timestamp": "05/10/2022 19:53:23",
"content": "So the only mistake in your pic is that you didnt raise your for to the power of 1/3",
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"timestamp": "05/10/2022 19:53:42",
"content": "Oh I see thank you",
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"author_name": "nils",
"timestamp": "05/10/2022 19:53:53",
"content": "And that is because you treated (4x)^1/3 as 4*(x)^1/3",
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"timestamp": "05/10/2022 19:54:00",
"content": "and then differentiated to x",
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"timestamp": "05/10/2022 19:54:18",
"content": "Okay lets get to b",
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"timestamp": "05/10/2022 19:54:51",
"content": "That one is correct",
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"timestamp": "05/10/2022 19:54:59",
"content": "Good job!",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 19:55:06",
"content": "Thanks",
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"author_name": "nils",
"timestamp": "05/10/2022 19:55:59",
"content": "3 is also correct",
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"timestamp": "05/10/2022 19:56:06",
"content": "Alright",
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"author_name": "nils",
"timestamp": "05/10/2022 19:57:31",
"content": "4 is wrong",
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"timestamp": "05/10/2022 19:57:36",
"content": "what i suggest doing there",
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"id": 973735694017134600,
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"author_name": "nils",
"timestamp": "05/10/2022 19:58:00",
"content": "is when you have the option to easily write your function as a ploynomial, you should do it",
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"timestamp": "05/10/2022 19:58:13",
"content": "Ok",
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"id": 973735759444078600,
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"timestamp": "05/10/2022 19:58:16",
"content": "because polynomials are easy to differentiate",
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"author_name": "nils",
"timestamp": "05/10/2022 19:58:25",
"content": "so what would the polynomial be?",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 19:58:34",
"content": "Ok I'll find it now",
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"timestamp": "05/10/2022 19:59:34",
"content": "Shoot I messed up",
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"timestamp": "05/10/2022 19:59:38",
"content": "Hold on a second",
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"timestamp": "05/10/2022 19:59:49",
"content": "Thats okay, its good that you see it yourself!",
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"content": "",
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"timestamp": "05/10/2022 20:00:21",
"content": "exactly!",
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"timestamp": "05/10/2022 20:00:25",
"content": "easy isnt it?",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:00:34",
"content": "Yeah thanks for the help so far",
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"author_name": "nils",
"timestamp": "05/10/2022 20:02:43",
"content": "Im not sure but i think you messed up on 5",
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"author_name": "nils",
"timestamp": "05/10/2022 20:02:51",
"content": "lets just do it together step by step",
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"timestamp": "05/10/2022 20:02:56",
"content": "Ok",
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"id": 973736942522994800,
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"author_name": "nils",
"timestamp": "05/10/2022 20:02:58",
"content": "Your beginning was good",
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"id": 973736975041437800,
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"author_name": "nils",
"timestamp": "05/10/2022 20:03:06",
"content": "Using the (chain rule?)",
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"author_name": "nils",
"timestamp": "05/10/2022 20:03:11",
"content": "idk what it is in english",
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"id": 973737051365195900,
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"author_name": "nils",
"timestamp": "05/10/2022 20:03:24",
"content": "what name do you guys give it?",
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"timestamp": "05/10/2022 20:03:46",
"content": "We call it the chain rule too",
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"id": 973737175394955300,
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"timestamp": "05/10/2022 20:03:53",
"content": "Oh okay perfect",
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"timestamp": "05/10/2022 20:04:12",
"content": "so first write your chain rule",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:06:04",
"content": "Sorry my phone just died Ill so that rn",
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"timestamp": "05/10/2022 20:06:11",
"content": "Thats okay!",
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"timestamp": "05/10/2022 20:09:09",
"content": "Is this it so far?",
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"timestamp": "05/10/2022 20:10:16",
"content": "Okay there are 2 mistakes",
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"id": 973738841410248700,
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"timestamp": "05/10/2022 20:10:30",
"content": "if there is a function in your ln",
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"timestamp": "05/10/2022 20:10:44",
"content": "The derivative is 1/that entire function",
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"timestamp": "05/10/2022 20:10:57",
"content": "Oh I see",
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"timestamp": "05/10/2022 20:11:03",
"content": "so indeen if you have ln(x) then your derivative is 1/x",
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"timestamp": "05/10/2022 20:11:30",
"content": "But if you have ln(x+4) then its 1/(x+4)",
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"timestamp": "05/10/2022 20:11:33",
"content": "And the,",
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"timestamp": "05/10/2022 20:11:37",
"content": "in your second part",
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"timestamp": "05/10/2022 20:11:45",
"content": "i think its supposed to be a minus",
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"author_id": 834775116802031600,
"author_name": "Akimbobo",
"timestamp": "05/10/2022 20:11:47",
"content": "you guys are so cute",
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:12:13",
"content": "Oh you're right it's meant to be a negative youre right my bad",
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"timestamp": "05/10/2022 20:12:13",
"content": "appreciate the compliment but youre not really helping",
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"content": "i'm motivating",
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"content": "Thanks 😘",
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"timestamp": "05/10/2022 20:12:32",
"content": "Oh okay thank you!",
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"content": "I thought is was sarcastic",
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"timestamp": "05/10/2022 20:13:14",
"content": "So rewrite your chain rule with the corrections we just made",
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"timestamp": "05/10/2022 20:13:21",
"content": "Alright",
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"timestamp": "05/10/2022 20:14:49",
"content": "Okay now what is the first thing you would do with this?",
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"timestamp": "05/10/2022 20:15:15",
"content": "Should I simplify both sides before multipling?",
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"timestamp": "05/10/2022 20:15:45",
"content": "Exactly, that fraction inside a fraction on the left is really not looking easy to work with",
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"timestamp": "05/10/2022 20:16:01",
"content": "Very simple to rewrite it as a normal fraction",
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"timestamp": "05/10/2022 20:16:21",
"content": "what is 1/(a/b)",
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"timestamp": "05/10/2022 20:17:07",
"content": "Is this it?",
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"timestamp": "05/10/2022 20:17:49",
"content": "that is a possibility, but whats easier is just bringing the x^100 to the top",
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"timestamp": "05/10/2022 20:18:59",
"content": "Wait I'm kind of confused is this it then?",
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"timestamp": "05/10/2022 20:19:13",
"content": "Yeah, do you understand why youre allowed to do that?",
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"timestamp": "05/10/2022 20:19:52",
"content": "Yes I believe I do you multiplied denominator by x^100 (cancelling it out) and then multipled it at the top",
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"timestamp": "05/10/2022 20:19:56",
"content": "Right?",
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"timestamp": "05/10/2022 20:20:07",
"content": "yeah exactly!!",
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"timestamp": "05/10/2022 20:20:18",
"content": "okay so now write your chain rule again",
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"timestamp": "05/10/2022 20:20:24",
"content": "Ok",
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"author_name": "nils",
"timestamp": "05/10/2022 20:20:24",
"content": "but with that fraction",
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"timestamp": "05/10/2022 20:21:11",
"content": "Wait do you mean quotient rule?",
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"timestamp": "05/10/2022 20:21:57",
"content": "no no",
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"timestamp": "05/10/2022 20:22:03",
"content": "Just rewrite your expression",
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"timestamp": "05/10/2022 20:22:15",
"content": "but at the left instead of that ugly fraction",
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"timestamp": "05/10/2022 20:22:22",
"content": "use the one we just simplified",
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"timestamp": "05/10/2022 20:23:12",
"content": "I'm not really sure how to use the chain rule as a fraction tbh",
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"timestamp": "05/10/2022 20:23:26",
"content": "No wait",
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"timestamp": "05/10/2022 20:23:35",
"content": "At first we had this",
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"timestamp": "05/10/2022 20:23:38",
"content": "yeah?",
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"timestamp": "05/10/2022 20:23:50",
"content": "Yes",
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"timestamp": "05/10/2022 20:23:55",
"content": "But we discovered that the left part can be written as this",
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"timestamp": "05/10/2022 20:24:14",
"content": "So now just rewrite this but with the nice fraction",
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"timestamp": "05/10/2022 20:24:36",
"content": "Ok",
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"timestamp": "05/10/2022 20:25:37",
"content": "",
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"timestamp": "05/10/2022 20:26:04",
"content": "Yeah okay now we can cancel something out",
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"timestamp": "05/10/2022 20:26:07",
"content": "do you see it?",
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"timestamp": "05/10/2022 20:26:12",
"content": "Oh I see",
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"timestamp": "05/10/2022 20:26:15",
"content": "I'll do that now",
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"timestamp": "05/10/2022 20:27:41",
"content": "Is this it?",
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"timestamp": "05/10/2022 20:27:54",
"content": "You went a bit too far",
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"timestamp": "05/10/2022 20:28:10",
"content": "Oh my bad",
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"timestamp": "05/10/2022 20:28:25",
"content": "you cant cross out the 2x-3 because at the top it is written in a sum",
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"timestamp": "05/10/2022 20:28:38",
"content": "And you can only cancel out with products and divisions",
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"timestamp": "05/10/2022 20:28:50",
"content": "so cancelling the x^100 out was a good idea",
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"timestamp": "05/10/2022 20:29:11",
"content": "but what you did was like having (x+3)/3 and crossing out the 3",
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"timestamp": "05/10/2022 20:29:16",
"content": "you cant do that",
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"timestamp": "05/10/2022 20:29:25",
"content": "Oh ok",
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"timestamp": "05/10/2022 20:31:05",
"content": "so basically you get (2*x^100-(2x-3)*(100x^99))/(2x-3)*(x^100)",
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"timestamp": "05/10/2022 20:31:19",
"content": "Alright thanks",
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"timestamp": "05/10/2022 20:33:24",
"content": "But thats the furthest you can get with simplifying",
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"timestamp": "05/10/2022 20:33:28",
"content": "it was a tricky one",
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"id": 973744635912536000,
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"timestamp": "05/10/2022 20:33:32",
"content": "okay 2 more",
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"timestamp": "05/10/2022 20:35:22",
"content": "okay so we got 3log(4x-5)",
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"timestamp": "05/10/2022 20:35:41",
"content": "So its quite similar to the previous one",
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"timestamp": "05/10/2022 20:35:43",
"content": "but easier",
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"timestamp": "05/10/2022 20:35:58",
"content": "What would be the derivative of 3log(x)?",
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"timestamp": "05/10/2022 20:36:31",
"content": "Would it be 3/x?",
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"timestamp": "05/10/2022 20:36:43",
"content": "no wait",
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"timestamp": "05/10/2022 20:36:47",
"content": "i mean as in",
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"timestamp": "05/10/2022 20:36:54",
"content": "log with base 3",
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"id": 973745529324458000,
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"timestamp": "05/10/2022 20:37:05",
"content": "as in the exercise",
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"timestamp": "05/10/2022 20:37:07",
"content": "Yeah that was the question",
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"id": 973745637487161300,
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"author_name": "nils",
"timestamp": "05/10/2022 20:37:31",
"content": "So the derivative of logbase3(x) would be?",
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"timestamp": "05/10/2022 20:37:43",
"content": "not 3/x",
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"timestamp": "05/10/2022 20:38:06",
"content": "It would be 1/((ln3)*x)",
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"timestamp": "05/10/2022 20:38:18",
"content": "Yes",
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"timestamp": "05/10/2022 20:38:19",
"content": "That is your formula",
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"timestamp": "05/10/2022 20:38:51",
"content": "okay but its not log3(x) its log3(4x-5)",
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"timestamp": "05/10/2022 20:38:56",
"content": "so what are we going to use?",
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"timestamp": "05/10/2022 20:39:38",
"content": "I used this formula",
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"timestamp": "05/10/2022 20:40:13",
"content": "Yeah!",
"attachments": [],
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},
{
"id": 973746334601445400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:40:17",
"content": "Now apply it",
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},
{
"id": 973746465639923700,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:40:48",
"content": "This is what I got (number 6)",
"attachments": [
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"id": 973746524041384000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:41:02",
"content": "where do you get the sin from?",
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},
{
"id": 973746585450188900,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:41:17",
"content": "No that's not a sin sorry for bad writing it's 5 Ln",
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{
"id": 973746700399304700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:41:44",
"content": "OHHHHHH",
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},
{
"id": 973746745395785700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:41:55",
"content": "yeahhh",
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},
{
"id": 973746761694842900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:41:59",
"content": "Hahahhahahaha",
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},
{
"id": 973746769810833500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:42:01",
"content": "My bad I can be sloppy I see why you were confused lol",
"attachments": [],
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},
{
"id": 973746779780694000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:42:03",
"content": "Yeah its correct",
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},
{
"id": 973746789733777400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:42:06",
"content": "except",
"attachments": [],
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},
{
"id": 973746874936881300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:42:26",
"content": "you need to put brackets around 4x+5",
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},
{
"id": 973746959733125200,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:42:46",
"content": "Because now you are writing 4x + 5 times ln3",
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},
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"id": 973746962052558800,
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:42:47",
"content": "Alright will do",
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},
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"id": 973747027974455300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:43:02",
"content": "But it should be (4x + 5) times ln3",
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},
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"id": 973747055304523900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:43:09",
"content": "2 different things",
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},
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"id": 973747099738992600,
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:43:19",
"content": "Ok",
"attachments": [],
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},
{
"id": 973747328240463900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:44:14",
"content": "Okay and now the last one",
"attachments": [],
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},
{
"id": 973747375157952500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:44:25",
"content": "we have e^(x^3)",
"attachments": [],
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},
{
"id": 973747423191138300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:44:37",
"content": "What is the rule that comes to mind?",
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},
{
"id": 973747593639239800,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:45:17",
"content": "Don't know what it is called but I did this. Are you talking about the chain rule tho?",
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"id": 973747770131370100,
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"author_name": "nils",
"timestamp": "05/10/2022 20:45:59",
"content": "Yes!!",
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},
{
"id": 973747821197025400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:46:11",
"content": "Now apply that!",
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},
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"id": 973747915585650700,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:46:34",
"content": "Here is my answer (number 7)",
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"id": 973747948636733400,
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"author_name": "nils",
"timestamp": "05/10/2022 20:46:42",
"content": "I can see your answer but thats wrong",
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"id": 973747973802557400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:46:48",
"content": "Dont go too fasr",
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"id": 973747984460308500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:46:50",
"content": "Oh",
"attachments": [],
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},
{
"id": 973747996305002500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:46:53",
"content": "Ok",
"attachments": [],
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},
{
"id": 973748027707781100,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:47:01",
"content": "what is u in this exercise?",
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},
{
"id": 973748130178809900,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:47:25",
"content": "It is x^3",
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},
{
"id": 973748289562361900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:48:03",
"content": "Yeah!",
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},
{
"id": 973748383158272000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:48:25",
"content": "then why you write e^(2x^2-1)",
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},
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"id": 973748519175344100,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:48:58",
"content": "Oh that was my answer let me show you the work",
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},
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"id": 973748548619341800,
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"author_name": "Thatjman",
"timestamp": "05/10/2022 20:49:05",
"content": "",
"attachments": [
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"id": 973748584778457100,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:49:13",
"content": "Maybe you can see where I went wrong",
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},
{
"id": 973748754471587800,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:49:54",
"content": "Oh I see",
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},
{
"id": 973748758435233800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:49:55",
"content": "Yeah, writing your question wrong",
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},
{
"id": 973748790202859500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:50:02",
"content": "My bad I just realized that",
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},
{
"id": 973748816060768400,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:50:09",
"content": "I'll do it again my apologies",
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},
{
"id": 973748822486450300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:50:10",
"content": "Thats okay haha",
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},
{
"id": 973748852551192700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:50:17",
"content": "No need to apologize!!!",
"attachments": [],
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},
{
"id": 973748886042714200,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:50:25",
"content": "We all need to learn",
"attachments": [],
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},
{
"id": 973748916451434500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:50:33",
"content": "The perfect human has yet to be born",
"attachments": [],
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},
{
"id": 973749032050651100,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:51:00",
"content": "Did I do it right however in the above picture besides the error of not copying the problem correctly?",
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},
{
"id": 973749089235779600,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:51:14",
"content": "Like the right format I mean",
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},
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"id": 973749248300548100,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:51:52",
"content": "Sadly not, youre making it to difficult for yourself",
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},
{
"id": 973749275060215800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:51:58",
"content": "Your u=x^2",
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},
{
"id": 973749298288275500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:52:04",
"content": "whats the derivative of that?",
"attachments": [],
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},
{
"id": 973749389015273500,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:52:25",
"content": "This is what I got so far",
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"id": 973749442949824500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:52:38",
"content": "No",
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},
{
"id": 973749490160918500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:52:49",
"content": "Lets take a step back",
"attachments": [],
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},
{
"id": 973749528123555800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:52:58",
"content": "And calmly analyse the problem",
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},
{
"id": 973749580208410600,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:53:11",
"content": "What does our rule say?",
"attachments": [],
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},
{
"id": 973749614463316000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:53:19",
"content": "This rule",
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},
{
"id": 973749640551891000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:53:25",
"content": "Okay?",
"attachments": [],
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},
{
"id": 973749690719932400,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:53:37",
"content": "Yes",
"attachments": [],
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},
{
"id": 973749718742089700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:53:44",
"content": "So what is our u?",
"attachments": [],
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},
{
"id": 973749811645907000,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:54:06",
"content": "The u is x^3",
"attachments": [],
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},
{
"id": 973749887088869400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:54:24",
"content": "And what is the derivative of that?",
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},
{
"id": 973749960690532400,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:54:42",
"content": "Oh I see. It's 3x^2",
"attachments": [],
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},
{
"id": 973749987315961900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:54:48",
"content": "Exactly!",
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},
{
"id": 973750025828065300,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:54:57",
"content": "Now you have everything you need",
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},
{
"id": 973750086850981900,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:55:12",
"content": "and the only thing you have to do is write now",
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},
{
"id": 973750394020835300,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:56:25",
"content": "Is this it now?",
"attachments": [
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{
"id": 973750601051672600,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:57:14",
"content": "As the final form I mean",
"attachments": [],
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},
{
"id": 973750718831939600,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:57:42",
"content": "Where in your rule does it say that you need to raise e to the derivative of u?",
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},
{
"id": 973750793314377700,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:58:00",
"content": "Its e^u times the derivative of u",
"attachments": [],
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},
{
"id": 973750857554362400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:58:15",
"content": "not times e^derivative of u",
"attachments": [],
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},
{
"id": 973750935035707400,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:58:34",
"content": "Oh I just realized that my bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973750964043513900,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:58:41",
"content": "😭",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973750972918669400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 20:58:43",
"content": "No problem!",
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},
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"id": 973751110508634100,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 20:59:16",
"content": "",
"attachments": [
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"id": 973751350087254100,
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"author_name": "nils",
"timestamp": "05/10/2022 21:00:13",
"content": "Yeahhhhh!!!!!",
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},
{
"id": 973751364356288500,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 21:00:16",
"content": "Good job!",
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},
{
"id": 973751474926542800,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:00:43",
"content": "Thanks so much for the help. This really helped a lot you're a legend. Appreciate it have a nice night",
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},
{
"id": 973751523458834600,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:00:54",
"content": "Or morning where ever you're from lol",
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},
{
"id": 973751603054133400,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 21:01:13",
"content": "Its 3 AM here hahaha",
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"reference": null
},
{
"id": 973751619609034800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 21:01:17",
"content": "im going to bed now",
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},
{
"id": 973751625661431800,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:01:18",
"content": "Hahaha",
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},
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"id": 973751651942948900,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:01:25",
"content": "Ok good night!",
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},
{
"id": 973751665972899800,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 21:01:28",
"content": "best of luck with your mathematics!!!",
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},
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"id": 973751686717919200,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:01:33",
"content": "Thanks!",
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},
{
"id": 973751701993558000,
"author_id": 409744609162428400,
"author_name": "nils",
"timestamp": "05/10/2022 21:01:37",
"content": "it was a pleasure helping you",
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},
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"id": 973751714308042900,
"author_id": 713607466851500000,
"author_name": "Thatjman",
"timestamp": "05/10/2022 21:01:40",
"content": ".close",
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},
{
"id": 973751715964809200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 21:01:40",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
54f1f5ab4bd44e31b625c1d6ec003c15
|
199,861 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 21:02:40",
"content": "Available help channel!",
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"reference": null
},
{
"id": 973754255154491500,
"author_id": 569898774680305660,
"author_name": "IronInk738",
"timestamp": "05/10/2022 21:11:45",
"content": "This is finding the equation of a quadratic (parabola) given 3 points. Can someone help me check my answers?",
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"timestamp": "05/10/2022 21:11:46",
"content": "Pinned a message.",
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"timestamp": "05/10/2022 21:26:36",
"content": "@Helpers",
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},
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"id": 973761765076787200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 21:41:36",
"content": "@IronInk738 Has your question been resolved?",
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"timestamp": "05/10/2022 21:42:43",
"content": "Channel closed",
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}
] |
help-9
|
f5829f64c7234442b68164dc261275bc
|
199,862 |
[
{
"id": 973762301838639100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 21:43:44",
"content": "Available help channel!",
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"reference": null
},
{
"id": 973763773783482400,
"author_id": 617409173700739200,
"author_name": "haridev",
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"content": "Pinned a message.",
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"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 21:55:02",
"content": "how do I do 7a",
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},
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"id": 973765173032673400,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 21:55:08",
"content": "someone please help",
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},
{
"id": 973766071972659200,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/10/2022 21:58:43",
"content": "whats sin of 60 degrees?",
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},
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"id": 973766648173580300,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:01:00",
"content": "@haridev you still need help?",
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"id": 973767531854721000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:04:31",
"content": "yes",
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"id": 973767584044417000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:04:43",
"content": "sin of 60 is sqrt3/2",
"attachments": [],
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},
{
"id": 973767620375490700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:04:52",
"content": "you know the inverse of the trig function?",
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},
{
"id": 973767657620926500,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:05:01",
"content": "no",
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},
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"id": 973767728227835900,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:05:18",
"content": "i might actually",
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},
{
"id": 973767748951900200,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:05:23",
"content": "i just dont rmbr",
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},
{
"id": 973767807735070700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:05:37",
"content": "well inverse trig are just basically the reverse of the normal trig",
"attachments": [],
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},
{
"id": 973767830677889000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:05:42",
"content": "ok",
"attachments": [],
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},
{
"id": 973767889855320000,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:05:56",
"content": "it's like asking what angle of theta give me this ratio",
"attachments": [],
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},
{
"id": 973767917348991000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:06:03",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 973767927641833500,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:06:05",
"content": "you have a computer?",
"attachments": [],
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},
{
"id": 973767941491425300,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:06:08",
"content": "yes",
"attachments": [],
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},
{
"id": 973767969245110300,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:06:15",
"content": "nice",
"attachments": [],
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},
{
"id": 973768020264636400,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:06:27",
"content": "you saw that symbol of sine^-1?",
"attachments": [],
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},
{
"id": 973768068826288100,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:06:39",
"content": "inverse of sin",
"attachments": [],
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},
{
"id": 973768073083519000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:06:40",
"content": "?",
"attachments": [],
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},
{
"id": 973768100321304600,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:06:46",
"content": "yes that it's inverse",
"attachments": [],
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"reference": null
},
{
"id": 973768157762302000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:00",
"content": "ok what do i do with it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973768216247668700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:07:14",
"content": "press that sine^-1",
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"reference": null
},
{
"id": 973768241048608800,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:20",
"content": "ok",
"attachments": [],
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},
{
"id": 973768250334789600,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:07:22",
"content": "then press sqrt 3/2",
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},
{
"id": 973768259088298100,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:07:24",
"content": "and wala",
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},
{
"id": 973768298233749500,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:34",
"content": "where u get sqrt3/2",
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},
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"id": 973768342110355500,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:07:44",
"content": "here",
"attachments": [],
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{
"id": 973768347273552000,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:07:45",
"content": "lol",
"attachments": [],
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"reference": null
},
{
"id": 973768352738734200,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:47",
"content": "oh",
"attachments": [],
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},
{
"id": 973768357696401400,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:48",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973768401342300200,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:07:58",
"content": "whats the inequallity for?",
"attachments": [],
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},
{
"id": 973768463120212000,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:08:13",
"content": "huh?",
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},
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"id": 973768543525028000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:08:32",
"content": "",
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{
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"id": 973768749717016600,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:09:21",
"content": "it's just to be specific that the angle theta has to greater or equal to 0 and smaller or equal 90 degree",
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},
{
"id": 973768818872696800,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:09:38",
"content": "🗿 kinda a waste of ink",
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},
{
"id": 973768882038902800,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:09:53",
"content": "lol",
"attachments": [],
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},
{
"id": 973768977899728900,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:10:16",
"content": "ok this makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973768979762008200,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:10:16",
"content": "well lets continue shall we?",
"attachments": [],
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"reference": null
},
{
"id": 973768983792730100,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:10:17",
"content": "thank u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769075618644000,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:10:39",
"content": ":satisfiedblob: seems like you have obtain that trick",
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"reference": null
},
{
"id": 973769134204674000,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:10:53",
"content": "yess!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769174503530500,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:11:02",
"content": "basically just isolate the trig function then take the inverse of that trig function",
"attachments": [],
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"reference": null
},
{
"id": 973769190056005600,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:06",
"content": "thanks to you",
"attachments": [],
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"reference": null
},
{
"id": 973769203519750100,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:11:09",
"content": "np",
"attachments": [],
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"reference": null
},
{
"id": 973769211925106800,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:11",
"content": "yea ok now i get it",
"attachments": [],
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},
{
"id": 973769218090737700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "05/10/2022 22:11:13",
"content": "have great day",
"attachments": [],
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"reference": null
},
{
"id": 973769233978773500,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:17",
"content": "you too",
"attachments": [],
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},
{
"id": 973769235539062800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/10/2022 22:11:17",
"content": "after you've finished your work, you can use `,w` to check your work",
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},
{
"id": 973769245274021900,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:19",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769246809145300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:11:20",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
07b0046bf6e44f15949883e68b8ae60c
|
199,863 |
[
{
"id": 973769291520442400,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:30",
"content": ",w",
"attachments": [],
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"reference": null
},
{
"id": 973769297698639900,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:11:32",
"content": "?",
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},
{
"id": 973769353872957400,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/10/2022 22:11:45",
"content": ",w solve sin x = sqrt(3)/2",
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},
{
"id": 973769365247909900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/10/2022 22:11:48",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769416506499100,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:12:00",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769465693077500,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/10/2022 22:12:12",
"content": "so that you don't need to wait for human response",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769500505813000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/10/2022 22:12:20",
"content": "to check your work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769500879118300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:12:20",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973769504372981800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:12:21",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 973769500505813000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 973769600107966600,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/10/2022 22:12:44",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 973769601366245400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:12:44",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4d2425078fdb4c04961cae371cc7e67b
|
199,864 |
[
{
"id": 973772031306911700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:22:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 973772149473050600,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/10/2022 22:22:52",
"content": "help with a) please",
"attachments": [
{
"id": 973772148843880600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/973772148843880518/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 61578
}
],
"mentions": [],
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},
{
"id": 973772151956058200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:22:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 973772149473050600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 973775925185482900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:37:52",
"content": "@haridev Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 617409173700739200,
"name": "haridev",
"discriminator": "1326",
"nickname": "haridev",
"isBot": false
}
],
"reference": null
},
{
"id": 973779700537245700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/10/2022 22:52:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
9e0e7ac7c00648a281242f9dfa4462b1
|
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