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201,065 | [
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"timestamp": "10/21/2022 19:20:02",
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"timestamp": "10/21/2022 19:43:34",
"content": "Pinned a message.",
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"author_name": "kimchi",
"timestamp": "10/21/2022 19:43:46",
"content": "Hello, I thought this is how you do it?",
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"id": 1033163751358222300,
"author_id": 728460785289789400,
"author_name": "kimchi",
"timestamp": "10/21/2022 19:43:53",
"content": "but my answer is wrong",
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"timestamp": "10/21/2022 19:58:53",
"content": "@kimchi Has your question been resolved?",
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"timestamp": "10/21/2022 20:29:01",
"content": "@kimchi Has your question been resolved?",
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] | help-9 | 2e51722b35fb496cb94b2908e003a8b5 |
201,066 | [
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"timestamp": "10/31/2022 08:10:50",
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"timestamp": "10/31/2022 08:11:35",
"content": "how do u find the y-int so i can find the value of b",
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"timestamp": "10/31/2022 08:12:39",
"content": "also if i were 2 graph this how do u no the end behaviors. how do u know if its going to be above or below the horizontal asymptote",
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"author_name": "Max..",
"timestamp": "10/31/2022 08:13:30",
"content": "have you got any of the values a,b,c or d yet?",
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"timestamp": "10/31/2022 08:27:40",
"content": "@loading… Has your question been resolved?",
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] | help-9 | adeaf7c9ad53440bbde44e4d7b3ec468 |
201,067 | [
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"timestamp": "01/27/2023 00:29:45",
"content": "Available help channel!",
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"author_name": "Aurum.2049",
"timestamp": "01/27/2023 00:33:53",
"content": "Hi, I'm wondering if anyone can help me understand what I'm doing wrong here. I've also tried to plug this in to desmos which is confusing me even more. In desmos it seems like when I change the C value, the horizontal shift does not directly correspond to that value. So I would expect that a C value of +2 would start the cos at x=-2. But my current equation starts the cosine at x=-3.183.",
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"content": "Pinned a message.",
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"content": ".close",
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] | help-9 | 6007ec4d74dc4785b42aa1f086d3b5dc |
201,068 | [
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"content": "Pinned a message.",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:38:45",
"content": "does anyone know",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:38:48",
"content": "how to do this question",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:39:09",
"content": "how do they get 8-2x^2 as volume",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 01:44:16",
"content": "Because they are saying that the side is from 8-x^2 to x^2. This is distance is 8-x^2-x^2, which is 8-2x^2. But given it is a square, the volume is the side squares which is (8-2x^2)^2.",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:47:50",
"content": "ooh",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:47:52",
"content": "so its saying",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:47:53",
"content": "the slice",
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"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:47:56",
"content": "is a square?",
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"id": 1068422185267515500,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:48:19",
"content": "and square has all same sides",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:48:21",
"content": "so thats why",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 01:48:21",
"content": "?",
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 02:03:21",
"content": "@Hoesmad Has your question been resolved?",
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"id": 1068426169810169900,
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:04:09",
"content": "It’s given to be a square",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:04:25",
"content": "So yea",
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"author_name": "Hoesmad",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:08:21",
"content": "could u help me understand where they got 2+2t/h",
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"id": 1068427504035041300,
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:09:27",
"content": "also",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:09:34",
"content": "when im evaluating the volume",
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"id": 1068427565645172900,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:09:42",
"content": "If i use the shell method",
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"id": 1068427581059248100,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:09:45",
"content": "would the integral be this",
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"id": 1068427621039362200,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:09:55",
"content": "2pix(top-bottom)?",
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:10:06",
"content": "or would we have to use the washer method",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:11:06",
"content": "I dont know what does she’ll and washer mean",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:11:14",
"content": "I can tell you what to do though",
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"timestamp": "01/27/2023 02:11:29",
"content": "washer method",
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"id": 1068428029749112800,
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:11:32",
"content": "and shell method",
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"id": 1068428148179484700,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:12:00",
"content": "v=2pirhdy",
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"id": 1068428198045548500,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:12:12",
"content": "for washer = pi(R^2-r^2)",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:12:17",
"content": "oh ok",
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"id": 1068428256304447500,
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"author_name": "Hoesmad",
"timestamp": "01/27/2023 02:12:26",
"content": "ye so would the shell method",
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"id": 1068428280895643600,
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"timestamp": "01/27/2023 02:12:32",
"content": "would it be this",
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:13:19",
"content": "Solve the equation for x when y=5",
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"id": 1068428507929133000,
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"author_name": "sloppymope",
"timestamp": "01/27/2023 02:13:26",
"content": "Find the x",
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"timestamp": "01/27/2023 02:13:38",
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"timestamp": "01/27/2023 02:14:05",
"content": "oh so",
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"content": "5=x+1",
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"content": "4=x",
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"content": "What",
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"content": "this",
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"content": "the equation is",
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"content": "equation for this is y= x+ 1",
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"content": "and y = 4-(x-1)^2",
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"content": "They asked for volume",
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"content": "Pi r^2",
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"timestamp": "01/27/2023 02:17:09",
"content": "ok I’m getting a little confused myself and I don’t wanna mislead you",
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"content": "@sloppymope this is what im trying to do",
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"timestamp": "01/27/2023 02:20:47",
"content": "Which question even is this",
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"content": "this is just showing u",
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"content": "what i am trying to do",
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"timestamp": "01/27/2023 02:21:02",
"content": "with my question",
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"timestamp": "01/27/2023 02:21:06",
"content": "using this method",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:21:39",
"content": "which question are you working on",
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"timestamp": "01/27/2023 02:22:05",
"content": "your integral contains no mention of the line y=5, so definitely not the correct integral to evaluate",
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"timestamp": "01/27/2023 02:22:06",
"content": "W someone came to save us",
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"timestamp": "01/27/2023 02:23:02",
"content": "how would u use the shell method here then>",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:23:15",
"content": "shell method is considerably worse than the washer method",
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"timestamp": "01/27/2023 02:23:20",
"content": "but if you so choose",
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"timestamp": "01/27/2023 02:23:37",
"content": "@Saccharine yes but i just want to practise it",
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"timestamp": "01/27/2023 02:24:24",
"content": "what would be r be then?",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:27:32",
"content": "one sec in a gta heist",
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"timestamp": "01/27/2023 02:27:36",
"content": "💀",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:29:45",
"content": "r is something like 5 - y yeah?",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:29:50",
"content": "since you're trying to integrate across the ys",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:30:06",
"content": "the really hard part is figuring out the height of the slices",
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"timestamp": "01/27/2023 02:30:42",
"content": "that would just be top - bottom",
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"timestamp": "01/27/2023 02:31:39",
"content": "no",
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"timestamp": "01/27/2023 02:31:43",
"content": "you said you wanted to do the shells method",
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"timestamp": "01/27/2023 02:32:04",
"content": "graph the region that you want",
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"content": "wdym",
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"timestamp": "01/27/2023 02:32:59",
"content": "graph the region that you're integrating",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:33:44",
"content": "you'll probably have to split things up into two cases",
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"timestamp": "01/27/2023 02:33:49",
"content": "maybe 3",
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"timestamp": "01/27/2023 02:34:44",
"content": "nvm then",
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"timestamp": "01/27/2023 02:34:45",
"content": "💀",
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"author_name": "Saccharine",
"timestamp": "01/27/2023 02:35:19",
"content": "what, just going to give up like that?",
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"timestamp": "01/27/2023 02:36:32",
"content": "yea",
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"timestamp": "01/27/2023 02:37:33",
"content": "actually nah just two cases",
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"timestamp": "01/27/2023 02:43:50",
"content": "would u mind helping here lol",
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"timestamp": "01/27/2023 02:51:58",
"content": "help you with what",
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"content": "seems straightforward enough",
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"timestamp": "01/27/2023 02:52:23",
"content": ",w graph x=0, x=1, y=0, y=2*sqrt(1+x^2)",
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"id": 1068438323435147300,
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"timestamp": "01/27/2023 02:52:26",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/27/2023 02:56:36",
"content": "just part b",
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"timestamp": "01/27/2023 02:56:42",
"content": "and maybe part c",
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"timestamp": "01/27/2023 03:26:42",
"content": "@Hoesmad Has your question been resolved?",
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"content": "part b the same",
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"timestamp": "01/27/2023 03:36:53",
"content": "and part c I assume is just setting equal and solving",
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"timestamp": "01/27/2023 03:56:43",
"content": "Channel closed",
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] | help-9 | 8fa1003417064e22ac003d5bad707bea |
201,069 | [
{
"id": 1068474659827363800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 05:16:50",
"content": "Available help channel!",
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},
{
"id": 1068479063146106900,
"author_id": 386883663595438100,
"author_name": "ναζμπαμπα",
"timestamp": "01/27/2023 05:34:20",
"content": "I need to calculate the limit of this sequence. I have tried adding the fractions to see if the expression simplifies but I don't know how to continue",
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"content": "Pinned a message.",
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"id": 1068479238472216600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/27/2023 05:35:01",
"content": "Note that 1/k(k + 1) can be generally simplified as 1/k - 1/(k + 1)",
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"content": "oh",
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"content": "I see now",
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"author_name": "ναζμπαμπα",
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"content": "so this sequence simplifies to $1-\\frac{1}{n+1}$, right?",
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"timestamp": "01/27/2023 05:37:33",
"content": "**ναζμπαμπα**",
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"timestamp": "01/27/2023 05:41:35",
"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | 0117575f68eb4de096f0c9d05db490cb |
201,070 | [
{
"id": 1068481590952460300,
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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},
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"id": 1068483020459352000,
"author_id": 299478698648797200,
"author_name": "Shachar",
"timestamp": "01/27/2023 05:50:03",
"content": "how can i get n from $q^8 = q^(n-1)$?",
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},
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"timestamp": "01/27/2023 05:50:04",
"content": "Pinned a message.",
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"timestamp": "01/27/2023 05:50:05",
"content": "**Shachar**",
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"timestamp": "01/27/2023 05:50:37",
"content": "$q^8=q^{n-1}$",
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"content": "**SilverSoldier**",
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"timestamp": "01/27/2023 05:50:46",
"content": "?",
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"id": 1068483208699719800,
"author_id": 299478698648797200,
"author_name": "Shachar",
"timestamp": "01/27/2023 05:50:48",
"content": "yes",
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"id": 1068483214768881800,
"author_id": 299478698648797200,
"author_name": "Shachar",
"timestamp": "01/27/2023 05:50:49",
"content": "ty",
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"id": 1068483305856581800,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/27/2023 05:51:11",
"content": "basically if $a^b=a^c$, then $b=c$",
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"id": 1068483315373445100,
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"timestamp": "01/27/2023 05:51:13",
"content": "**SilverSoldier**",
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"author_name": "Shachar",
"timestamp": "01/27/2023 05:51:32",
"content": "oh no need for log or stuff, i can just say it?",
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"timestamp": "01/27/2023 05:51:51",
"content": "yeah if u want u cud write log",
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"content": "alright ty",
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"timestamp": "01/27/2023 05:52:09",
"content": ".close",
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"id": 1068483553760911400,
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"timestamp": "01/27/2023 05:52:10",
"content": "Channel closed",
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] | help-9 | 488949227792478a90657bb1bf76f43f |
201,071 | [
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"content": "Available help channel!",
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"content": "HOW TO GET INTEGRAL FROM- (4-x)/2 DX TO \n\n1/4( 4-X)^2?",
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"content": "~~(reverse)~~ power chain rule",
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"content": "@finalespeed Has your question been resolved?",
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"content": "@finalespeed Has your question been resolved?",
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] | help-9 | da253f6e24884940bdcdefada75884e4 |
201,072 | [
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"content": "This honestly might be more a coding kind of thing but the principles are algebra\n\np1 and p2 are both X-Y-Z position data in 3D space\nThe expression is using p1 and adding half of the distance between p1 and p2 to calculate the midpoint between the two positions\n\nI want to set this up so that if I need additional positions between p1 and p2, they automatically distribute the positions\n\nSo essentially, what do I do to the 'p1 + (p2-p1) / 2' equation that each point is equally distributed",
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"content": "Pinned a message.",
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"content": "position of the kth point = k*(p1 + (p2-p1) )/(n+1)\nn = number of points in between",
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"content": "@JakeJanCook Has your question been resolved?",
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"timestamp": "01/27/2023 07:51:32",
"content": "So I got it working using this formula. In your formula what is K?",
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"content": "Channel closed",
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] | help-9 | bec74330319a4738941fa48dbd35c234 |
201,073 | [
{
"id": 1068513867921117200,
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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},
{
"id": 1068514905440931800,
"author_id": 716630372158406800,
"author_name": "Salar",
"timestamp": "01/27/2023 07:56:45",
"content": "What is the period of xtan(x)",
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"content": "I highly doubt that it's a periodic function",
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"id": 1068517639535734900,
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"author_name": "DerpZ",
"timestamp": "01/27/2023 08:07:37",
"content": ",w plot xtanx",
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},
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"id": 1068517649392337000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/27/2023 08:07:39",
"content": "Results provided by WolframAlpha",
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"id": 1068517744091344900,
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"author_name": "DerpZ",
"timestamp": "01/27/2023 08:08:02",
"content": "wait we need more",
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"id": 1068517770905526300,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/27/2023 08:08:08",
"content": ",w plot xtanx for x in [-10, 10]",
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"id": 1068517828606562300,
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"author_name": "DerpZ",
"timestamp": "01/27/2023 08:08:22",
"content": "oh yeah thats not periodic",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/27/2023 08:08:38",
"content": ":thonk:",
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"timestamp": "01/27/2023 08:08:41",
"content": "it plotted x tan(x) x",
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"id": 1068517929676714000,
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"content": "oh",
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"id": 1068517960962015200,
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"author_name": "DerpZ",
"timestamp": "01/27/2023 08:08:53",
"content": "ugh",
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"id": 1068517965328289800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/27/2023 08:08:55",
"content": "Results provided by WolframAlpha",
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{
"id": 1068517980813668500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/27/2023 08:08:58",
"content": "x tan(x) isnt periodic tho",
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"id": 1068518004926726300,
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"timestamp": "01/27/2023 08:09:04",
"content": "still not periodic",
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},
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"id": 1068518056667648100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/27/2023 08:09:16",
"content": ",w period of x tan(x)",
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},
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"id": 1068518065790275700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/27/2023 08:09:18",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1068519315919360000,
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 08:14:17",
"content": "@Salar Has your question been resolved?",
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"timestamp": "01/27/2023 08:24:23",
"content": "Channel closed",
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}
] | help-9 | af46a4c317a14e29aa1a5b5def054c22 |
201,074 | [
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"timestamp": "01/27/2023 08:24:42",
"content": ".reopen",
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"timestamp": "01/27/2023 08:24:44",
"content": "✅",
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"author_id": 716630372158406800,
"author_name": "Salar",
"timestamp": "01/27/2023 08:25:15",
"content": "Is there a way to know that it's not periodic without the graph",
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"content": "ok for example sin(x) is periodic because",
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"content": "sin(2npi + x) = sin(x)",
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"id": 1068522261902012400,
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"timestamp": "01/27/2023 08:25:59",
"content": "or something like that",
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"id": 1068522306814607400,
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"author_name": "DerpZ",
"timestamp": "01/27/2023 08:26:10",
"content": "but here you don't have such a situation",
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"id": 1068523004973306000,
"author_id": 716630372158406800,
"author_name": "Salar",
"timestamp": "01/27/2023 08:28:56",
"content": ".close",
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"timestamp": "01/27/2023 08:28:57",
"content": "Channel closed",
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}
] | help-9 | 016eb8360b244e1d88ff27df10002e72 |
201,075 | [
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"timestamp": "01/27/2023 08:29:55",
"content": "The answer should be 2 right?",
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"id": 1068524467434836100,
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 08:34:45",
"content": "Available help channel!",
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},
{
"id": 1068530429902213200,
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"content": "Pinned a message.",
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"timestamp": "01/27/2023 08:58:49",
"content": "The b) one the last bit can be written as 0 right?",
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"timestamp": "01/27/2023 08:59:03",
"content": "Just the typo part",
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"timestamp": "01/27/2023 08:59:45",
"content": "Like this?",
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"content": "Yeah that's right",
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"content": "If a coordinate isn't given (like z in this case), it's assumed to be zero",
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"timestamp": "01/27/2023 09:00:23",
"content": "Thankyou!",
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"content": "Since there's technically always an infinite amount of zero-valued variables",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 07678c1c4eff4135a894ecce7be29f8e |
201,076 | [
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"content": ",w derivative of (x^2 + 1)/(x-1)^2",
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"content": "Or uh",
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"content": ",w integrate (-6x^2 - 4x + 2)/(x-1)^4",
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"content": "Results provided by WolframAlpha",
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"content": "I don't think you applied the quotient rule properly",
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"content": "Or something went wrong with the simplification",
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"content": "where",
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"content": "I am supposed to get the intervals where it's increasing or decreasing",
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"content": "Ngl I wouldn't even bother simplifying",
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"content": "And use sign analysis",
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"content": "So just leave it as this",
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"content": "And then use sign analysis",
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"content": "@youz Has your question been resolved?",
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] | help-9 | e84069fd2aac478cbcee2f14b2b3f38c |
201,077 | [
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"content": "Can anyone tell me the first step to factorize this exercise: x^2 + 2ax − 4bx − 2ab + 3b^2. This is the solution: \n(x + 2a − 3b) (x-b).",
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] | help-9 | 3618f04d9802407e85fa37ed86640310 |
201,078 | [
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"id": 1068543871103025300,
"author_id": 943386909126820000,
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"timestamp": "01/27/2023 09:51:51",
"content": "so im new to this topic and i cant make sense out of it, may i have some help on how i can understand this question",
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"timestamp": "01/27/2023 09:54:31",
"content": "okay so i should take out all the sides one by one and then find its surface area?",
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"content": "how would i find base then",
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"author_name": "Anagh",
"timestamp": "01/27/2023 09:56:46",
"content": "I think for first it will be\n$2wh + 2lh + lw$",
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"content": "**Anagh**",
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"timestamp": "01/27/2023 09:57:14",
"content": "Base SA = lw",
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"content": "i would need to take out all the sides",
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"content": "Sides are given",
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"content": "can you tell me how would i find base",
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"author_name": "Anagh",
"timestamp": "01/27/2023 09:58:02",
"content": "Length , height and width are given in the question",
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"timestamp": "01/27/2023 09:58:10",
"content": "oh so for surface area dont you take out all the sides",
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"content": "oh yes that exactly i have done some questions where i took out sides",
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"content": "here theyve already given those",
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"timestamp": "01/27/2023 10:14:08",
"content": "@- - Has your question been resolved?",
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"timestamp": "01/27/2023 10:18:11",
"content": "i dont get b",
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"timestamp": "01/27/2023 10:18:21",
"content": "this one",
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"author_name": "Anti-Clownfish",
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"timestamp": "01/27/2023 10:29:06",
"content": "How many 2cm cubes can fit in the base of the rectangular prism",
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"content": "the base should b where its 11",
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"timestamp": "01/27/2023 10:31:54",
"content": "No, that's not the base of the rectangular prism, that's just a side of the base",
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"timestamp": "01/27/2023 10:32:18",
"content": "I mean, ok we can approach from there\nHow many 2cm cubes can fit in that red highlighted side?",
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"id": 1068554269432746000,
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"timestamp": "01/27/2023 10:33:10",
"content": "its 2cm so therefore",
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"id": 1068554317331706000,
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"timestamp": "01/27/2023 10:33:22",
"content": "more than four",
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"id": 1068554357257281500,
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"timestamp": "01/27/2023 10:33:31",
"content": "five or six",
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"timestamp": "01/27/2023 10:33:42",
"content": "tell me how you get that",
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"id": 1068554613097251000,
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"timestamp": "01/27/2023 10:34:32",
"content": "i am thinking inside my head that if its 2cm there can be like that",
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"timestamp": "01/27/2023 10:34:44",
"content": "ok, so is your answer 5 or 6",
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"author_id": 943386909126820000,
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"timestamp": "01/27/2023 10:35:04",
"content": "also it feels like its not necessary that it would be five or six",
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"content": "what do you mean",
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"content": "can you explain this question i dont understand it",
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"content": "How many 2cm cubes can fit inside that rectangle prism is the question",
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"content": "2cm cube is 2x2x2 cube",
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"timestamp": "01/27/2023 10:39:29",
"content": "what does this mean when it says each cube has an edge of 2 cm",
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"timestamp": "01/27/2023 10:40:33",
"content": "It's asking how many cubes can fit inside the rectangle prism\nThe cube it is referring to has a dimension of 2cm by 2cm by 2cm\nImagine a rubix cube that is 2cm by 2cm by 2cm",
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"content": "okay i get it",
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"timestamp": "01/27/2023 10:42:07",
"content": "they have used the word tray in the question",
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"content": "it is a cube",
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"content": "The tray and the cube are different objects though",
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"timestamp": "01/27/2023 10:43:23",
"content": "they are different objects they started with a tray and then said that they placed some cubes",
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"id": 1068556878591840400,
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"timestamp": "01/27/2023 10:43:32",
"content": "Yes",
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"timestamp": "01/27/2023 10:44:04",
"content": "Imagine placing rubix cubes in a storage container, they're asking for the maximum # of rubix cubes that can fit inside the container",
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"id": 1068557100151742600,
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"timestamp": "01/27/2023 10:44:25",
"content": "i really appreciate your help",
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"timestamp": "01/27/2023 10:44:44",
"content": "thank you and im reading this out",
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"id": 1068557259149430800,
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"timestamp": "01/27/2023 10:45:03",
"content": "this made a lot sense to me",
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"timestamp": "01/27/2023 10:45:12",
"content": ".close",
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"timestamp": "01/27/2023 10:45:13",
"content": "Channel closed",
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] | help-9 | 96dbb4eabdf04a05a75be1ee8093689f |
201,079 | [
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"content": "Hi",
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"content": "u can do this graphically",
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"content": "like",
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"timestamp": "01/27/2023 11:10:46",
"content": "wait ill send a pic",
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"content": "so line AC is 12 units long, AE = 6, CD = 3",
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"content": "if B is a point in between A and C, such that CB = y, then AB = 12 - y",
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"content": "sqrt(3^2 + y^2) is the hypotenuse of triangle BDC",
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"timestamp": "01/27/2023 11:15:08",
"content": "sqrt[ (12-y)^2 + 6^2 ] is the hypotenuse of triangle ABE",
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"content": "and the sum is just the length of the line DBE",
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"content": "when is the line DBE shortest",
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"content": "ohh i kind of understand it now",
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"timestamp": "01/27/2023 11:15:35",
"content": "thanks a lot",
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"content": ".close",
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] | help-9 | a4c0d0856aeb4efe944b319ba146fbb9 |
201,080 | [
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] | help-9 | a854185aa8134d819d87746f4e86bfef |
201,081 | [
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"content": "can someone explain this please",
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"id": 1068599647943270400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/27/2023 13:33:29",
"content": "30 + 30 * p% = 210",
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"content": "whats confusing me is why 30 x p%",
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"content": "let's say we have a number which is 30",
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"content": "i did p% + 30 = 21-",
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"content": "then number 50% greater than 30 is...?",
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"timestamp": "01/27/2023 13:34:26",
"content": "210*",
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"timestamp": "01/27/2023 13:34:35",
"content": "60",
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"timestamp": "01/27/2023 13:34:55",
"content": "no it would be 100% greater",
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"timestamp": "01/27/2023 13:35:08",
"content": "this is confusing lol",
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"timestamp": "01/27/2023 13:36:23",
"content": "@Modus can u please send a video or explain it in another way",
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"timestamp": "01/27/2023 13:36:48",
"content": "600%?",
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"timestamp": "01/27/2023 13:37:17",
"content": "210 = (30) + (600% of 30)",
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"timestamp": "01/27/2023 13:38:33",
"content": "i dont understand",
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"timestamp": "01/27/2023 13:42:56",
"content": "Continuing Modus's explanation",
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"timestamp": "01/27/2023 13:43:00",
"content": "50% of 30 is?",
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"timestamp": "01/27/2023 13:43:03",
"content": "@Acer.",
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"timestamp": "01/27/2023 13:43:59",
"content": "idk",
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"timestamp": "01/27/2023 13:44:03",
"content": "i think 60",
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"timestamp": "01/27/2023 13:44:06",
"content": "oh",
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"timestamp": "01/27/2023 13:44:07",
"content": "wait of",
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"timestamp": "01/27/2023 13:44:08",
"content": "15",
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"timestamp": "01/27/2023 13:44:15",
"content": "@DemonicThunder",
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"content": "Correct",
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"timestamp": "01/27/2023 13:44:20",
"content": "yay",
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"timestamp": "01/27/2023 13:44:29",
"content": "So, 50% greater than 30 is?",
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"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:44:48",
"content": "15 also?",
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"author_id": 409372165033689100,
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"timestamp": "01/27/2023 13:44:52",
"content": "No, look",
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"timestamp": "01/27/2023 13:44:58",
"content": "You said 50% of 30 is 15",
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"id": 1068602574606970900,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:45:07",
"content": "Then 50% greater than 30 is",
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"timestamp": "01/27/2023 13:45:12",
"content": "50% of 30 + 30",
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"timestamp": "01/27/2023 13:45:18",
"content": "So 15 + 30 = 45",
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"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:45:21",
"content": "Makes sense?",
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},
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"id": 1068602679149994000,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:45:32",
"content": "is this like a rule",
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"timestamp": "01/27/2023 13:45:42",
"content": "we take percent x constant + constant",
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"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:45:57",
"content": "Uh, no I figured it out from the way it was asked",
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"timestamp": "01/27/2023 13:46:05",
"content": "ok thanks",
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"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:46:05",
"content": "More like a thing with language",
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"id": 1068602838999118000,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:46:10",
"content": "another question",
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"id": 1068602867373576300,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:46:17",
"content": "Okay?",
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"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:46:19",
"content": "i always get confused , like for this\nis it favor = 3x against \nor against = 3 x favor",
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"author_name": "Acer.",
"timestamp": "01/27/2023 13:46:31",
"content": "i want to know the wording how to interpret it",
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"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:47:56",
"content": "If I say x number of people voted against it",
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"id": 1068603336762327200,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:48:09",
"content": "Then how many people voted in favour of it?",
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"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:48:11",
"content": "Take a guess",
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},
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"id": 1068603421944463400,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:48:29",
"content": "No problem if you are wrong",
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"id": 1068603433810145400,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:48:32",
"content": "x times people",
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},
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"id": 1068603477577703600,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:48:42",
"content": "= favor",
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},
{
"id": 1068603508296798200,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:48:50",
"content": "I said, x is the number who voted against",
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"id": 1068603550629888000,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:49:00",
"content": "oh",
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"id": 1068603621794652200,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:49:17",
"content": "The problem says, three times as many people voted in favour as people who voted against",
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"id": 1068603662240338000,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:49:26",
"content": "So, the number of people in favour of it is 3x",
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},
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"id": 1068603669290954900,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:49:28",
"content": "i really dont know how to interpret these words",
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"id": 1068603679474729000,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:49:30",
"content": "Makes sense?",
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"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:49:41",
"content": "Is English your second language?",
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"id": 1068603730502619100,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:49:43",
"content": "twice as much as",
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},
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"id": 1068603736483696600,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:49:44",
"content": "yes",
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"id": 1068603739017060400,
"author_id": 922971583025389600,
"author_name": "GB_JAMES",
"timestamp": "01/27/2023 13:49:45",
"content": "do you have homework on your computer?",
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"id": 1068603806478241900,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:50:01",
"content": "no",
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},
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"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:50:19",
"content": "Ah, makes sense. English is my second language too. You will just need time to get more familiar with the language",
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"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:50:35",
"content": "i thought these words always goes to the later",
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"id": 1068603983012311200,
"author_id": 409372165033689100,
"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:50:43",
"content": "\"Twice as much as\" means double",
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"id": 1068603996027236400,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:50:46",
"content": "latter*",
"attachments": [],
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},
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"id": 1068604006353616900,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:50:48",
"content": "anyways thanks",
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},
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"id": 1068604023692857300,
"author_id": 1032004384311214200,
"author_name": "Acer.",
"timestamp": "01/27/2023 13:50:52",
"content": "goodnight",
"attachments": [],
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},
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"id": 1068604052134445000,
"author_id": 922971583025389600,
"author_name": "GB_JAMES",
"timestamp": "01/27/2023 13:50:59",
"content": "so how do you get it to show on the computer",
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"author_name": "DemonicThunder",
"timestamp": "01/27/2023 13:51:01",
"content": "You're welcome, hope it helped",
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"timestamp": "01/27/2023 13:51:30",
"content": "hey",
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 14:05:53",
"content": "@Acer. Has your question been resolved?",
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"timestamp": "01/27/2023 14:20:53",
"content": "Channel closed",
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}
] | help-9 | 5ecc5ca99aa948b4bd32aeed4d979ed7 |
201,082 | [
{
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "How do you find the equation of this graph?",
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"timestamp": "01/27/2023 14:25:36",
"content": "Try plugging in x = 0, f(0) = 5 and x = 2, f(2) = 20",
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"timestamp": "01/27/2023 14:25:38",
"content": "You can solve for k and a from there",
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"content": "2 equations, 2 unknowns",
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"content": "@Roger_8428 Has your question been resolved?",
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"timestamp": "01/27/2023 14:48:11",
"content": "Ok thanks",
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] | help-9 | b26321c34a42438fa922f032605a2159 |
201,083 | [
{
"id": 1068620559379861600,
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"content": "Available help channel!",
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"id": 1068620701281570800,
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"timestamp": "01/27/2023 14:57:09",
"content": "hey",
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"content": "Pinned a message.",
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"author_name": "YACINE",
"timestamp": "01/27/2023 14:57:26",
"content": "can you understand arabic ?",
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"id": 1068621315952623700,
"author_id": 477592722715443200,
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"timestamp": "01/27/2023 14:59:35",
"content": "use english, so others can join the conversation",
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"timestamp": "01/27/2023 15:00:01",
"content": "ok then",
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"author_name": "YACINE",
"timestamp": "01/27/2023 15:02:30",
"content": "how can i broove that b is equal to m if :\n`||MA - 3MB + MC|| = ||MA - 2MB + MC||`",
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"timestamp": "01/27/2023 15:02:41",
"content": "@marejak023",
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"id": 1068622203127611500,
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"timestamp": "01/27/2023 15:03:07",
"content": "-->\nMA",
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"content": "*",
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"timestamp": "01/27/2023 15:18:32",
"content": "@YACINE Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 86fca89bda26415a9d77d836097e8e29 |
201,084 | [
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"content": "Pinned a message.",
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}
] | help-9 | f9f1d4154de1441abbeb16786a572adb |
201,085 | [
{
"id": 1068633305542574100,
"author_id": 805217272087838700,
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"timestamp": "01/27/2023 15:47:14",
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"id": 1068640025987780700,
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"timestamp": "01/27/2023 16:15:16",
"content": "how can I get the expression for part (d)? pls ping if able to help ty!",
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"id": 1068642867519697000,
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"content": "i'm confused",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
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"content": "like we're supposed to use S(r,n) for it",
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},
{
"id": 1068643046209638400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
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"content": "but it would just give the amount of terms",
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"content": "@tea Has your question been resolved?",
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"content": "ah right",
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"content": "S(r,n) is 1 for both cases in c2",
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{
"id": 1068645672976400500,
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"author_name": "sunnnnnnn",
"timestamp": "01/27/2023 16:36:22",
"content": "what kind of question is this?",
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},
{
"id": 1068645764127019000,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/27/2023 16:36:44",
"content": "looks like it’s out for blood lmao",
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},
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"id": 1068646053047439400,
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"author_name": "sunnnnnnn",
"timestamp": "01/27/2023 16:37:53",
"content": "wait hell to the no how is this A2 level",
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},
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"content": "Channel closed",
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}
] | help-9 | 4ac636eccc4442bcbca94c491a836aca |
201,086 | [
{
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},
{
"id": 1068663314483269800,
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"content": "how do i prove that I3k=Ik",
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"content": "@user23 Has your question been resolved?",
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"content": "you need to give us the original problem",
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"content": "@user23 Has your question been resolved?",
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] | help-9 | 97bfcd7303b2414ca7e5d86ca45c13e3 |
201,087 | [
{
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"content": "Available help channel!",
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},
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"id": 1068687309991579600,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:21:49",
"content": "Hey how can I solve this?",
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"id": 1068687313418338400,
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"content": "Pinned a message.",
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"id": 1068687419769106400,
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"author_name": "hit",
"timestamp": "01/27/2023 19:22:16",
"content": "Does a) equal 2/3",
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},
{
"id": 1068687514484879400,
"author_id": 924832213781082100,
"author_name": "memer87",
"timestamp": "01/27/2023 19:22:38",
"content": "sin(theta) = 2/3",
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},
{
"id": 1068687544327356500,
"author_id": 924832213781082100,
"author_name": "memer87",
"timestamp": "01/27/2023 19:22:45",
"content": "theta = arcsin(2/3)",
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},
{
"id": 1068687602833698800,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:22:59",
"content": "So it is 2/3?",
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},
{
"id": 1068687655338004500,
"author_id": 924832213781082100,
"author_name": "memer87",
"timestamp": "01/27/2023 19:23:12",
"content": "no",
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},
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"id": 1068687673075703900,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:23:16",
"content": "Ah",
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},
{
"id": 1068687687487340700,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:23:19",
"content": "Damn",
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},
{
"id": 1068687716868444200,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:23:26",
"content": "That’s what I had written when I submitted my test",
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"id": 1068687782215696500,
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"author_name": "memer87",
"timestamp": "01/27/2023 19:23:42",
"content": "rip",
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},
{
"id": 1068687790461702300,
"author_id": 787655362316468200,
"author_name": "hit",
"timestamp": "01/27/2023 19:23:44",
"content": "What was it",
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},
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"author_name": "hit",
"timestamp": "01/27/2023 19:31:57",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 8923da229d43433295075145e3cdc465 |
201,088 | [
{
"id": 1036627244434591700,
"author_id": 737546605053476900,
"author_name": "DungeonChief",
"timestamp": "10/31/2022 09:06:34",
"content": "u got ur ans?",
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"content": "Available help channel!",
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},
{
"id": 1036627385145114800,
"author_id": 462626976822198300,
"author_name": "MrKrypton_",
"timestamp": "10/31/2022 09:07:08",
"content": "yh its an exercise without steps and only answer",
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"id": 1036627388110487600,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 09:07:08",
"content": "Pinned a message.",
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"id": 1036627393391108200,
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"author_id": 737546605053476900,
"author_name": "DungeonChief",
"timestamp": "10/31/2022 09:17:46",
"content": "no u split 4bx into -bx,-3bx",
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"author_name": "DungeonChief",
"timestamp": "10/31/2022 09:18:22",
"content": "then group x^2-3bx+2a and -xb-2ab+3b^2",
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"timestamp": "10/31/2022 09:18:36",
"content": "@MrKrypton_",
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"author_name": "MrKrypton_",
"timestamp": "10/31/2022 09:18:43",
"content": "oh ok tnx",
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"timestamp": "10/31/2022 09:18:52",
"content": ".close",
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"id": 1036630341907132500,
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] | help-9 | e69443f3554345fe998a0311cf8d66f9 |
201,089 | [
{
"id": 1068690111635665000,
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"content": "Available help channel!",
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},
{
"id": 1068691540756676700,
"author_id": 412739317887139840,
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"content": "Pinned a message.",
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"author_id": 412739317887139840,
"author_name": "Goose on a Moose",
"timestamp": "01/27/2023 19:38:48",
"content": "For this question, how do we classify them?",
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},
{
"id": 1068691656070668300,
"author_id": 412739317887139840,
"author_name": "Goose on a Moose",
"timestamp": "01/27/2023 19:39:06",
"content": "Can I use the |f'(x_0)|<1 test?",
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},
{
"id": 1068691661691031700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/27/2023 19:39:07",
"content": "whats 2-periodic",
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},
{
"id": 1068691725201178800,
"author_id": 412739317887139840,
"author_name": "Goose on a Moose",
"timestamp": "01/27/2023 19:39:22",
"content": "bounces between two points?",
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},
{
"id": 1068691752137011300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/27/2023 19:39:29",
"content": "??",
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},
{
"id": 1068691875583758300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/27/2023 19:39:58",
"content": "my guess is two-to-one",
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},
{
"id": 1068691934169808900,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/27/2023 19:40:12",
"content": "none of them bounce btwn two points",
"attachments": [],
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},
{
"id": 1068692388928819300,
"author_id": 412739317887139840,
"author_name": "Goose on a Moose",
"timestamp": "01/27/2023 19:42:00",
"content": "I am still not sure how to classify them",
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},
{
"id": 1068692507820576900,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/27/2023 19:42:29",
"content": "im not exactly sure what those are",
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},
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"id": 1068696164616126500,
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"timestamp": "01/27/2023 19:57:01",
"content": "@Goose on a Moose Has your question been resolved?",
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"timestamp": "01/27/2023 19:57:21",
"content": "@Helpers Is this the right approach?",
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"timestamp": "01/27/2023 20:27:22",
"content": "@Goose on a Moose Has your question been resolved?",
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"timestamp": "01/27/2023 20:27:34",
"content": ".close",
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},
{
"id": 1068703857997258900,
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"timestamp": "01/27/2023 20:27:35",
"content": "Channel closed",
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}
] | help-9 | efe67f3be1ac46cc8903ca01f589084b |
201,090 | [
{
"id": 1068704110133645300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 20:28:35",
"content": "Available help channel!",
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},
{
"id": 1068709564897317000,
"author_id": 577258344675541000,
"author_name": "Angelina",
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"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 20:50:16",
"content": "Pinned a message.",
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"id": 1068709620497010700,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/27/2023 20:50:29",
"content": "Can you replace year !='4' in the else if statement with year<4oryear<=3?",
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},
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"id": 1068711686141378600,
"author_id": 765406071002628100,
"author_name": "Raiden",
"timestamp": "01/27/2023 20:58:41",
"content": "Well ! indicates that year could be greater or lesser than 4 \nBut year<4 only indicates year could be lesser than 4",
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},
{
"id": 1068711720979280000,
"author_id": 765406071002628100,
"author_name": "Raiden",
"timestamp": "01/27/2023 20:58:49",
"content": "Which one do you need",
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},
{
"id": 1068711813748891600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/27/2023 20:59:12",
"content": "Looks like you've typed year as a char so I don't think you'll be able to compare them that way",
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},
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"id": 1068711847634669600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/27/2023 20:59:20",
"content": "It's not 4, it's '4'",
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},
{
"id": 1068712117395525800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/27/2023 21:00:24",
"content": "I could be wrong though, i haven't done much programming",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 21:05:29",
"content": "@Angelina Has your question been resolved?",
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"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/27/2023 21:06:17",
"content": "I’m just wondering if you can replace !=‘4’ with <4 or <=3",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 21:20:29",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 81df74065901422b810d6887f9745da2 |
201,091 | [
{
"id": 1068717426876883100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 21:21:30",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1068726067285737600,
"author_id": 523846493761699840,
"author_name": "kevvv",
"timestamp": "01/27/2023 21:55:50",
"content": "A party was organised for thirty people at which they could have either a hamburger or\na pizza. If there were five times as many hamburgers as pizzas, calculate the number\nof each.",
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{
"id": 1068726069399650300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 21:55:50",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1068726220109381800,
"author_id": 523846493761699840,
"author_name": "kevvv",
"timestamp": "01/27/2023 21:56:26",
"content": "first equation is x+y=30",
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},
{
"id": 1068726356562690000,
"author_id": 523846493761699840,
"author_name": "kevvv",
"timestamp": "01/27/2023 21:56:59",
"content": "is there another equation i am missing",
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},
{
"id": 1068727728523727000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/27/2023 22:02:26",
"content": "5x = y or something",
"attachments": [],
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},
{
"id": 1068727816406962200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/27/2023 22:02:47",
"content": "If hamburgers = x and pizzas = y, then 5x = y",
"attachments": [],
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},
{
"id": 1068728656110813200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/27/2023 22:06:07",
"content": "you've got that backwards",
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},
{
"id": 1068728664822390800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/27/2023 22:06:09",
"content": "5y = x",
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},
{
"id": 1068728770644672500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/27/2023 22:06:34",
"content": "5 times as many means:\nthe smaller quantity times five yields the bigger quantity",
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 22:11:59",
"content": "@kevvv Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 22:51:51",
"content": "@kevvv Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 23:21:51",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | f365dc03bc274ebfa88233ca254a1abd |
201,092 | [
{
"id": 1068761901619748900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 00:18:13",
"content": "Available help channel!",
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},
{
"id": 1068762454605181000,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:20:25",
"content": "4/x-2 = -3/x+5 + 7/(x+5)(x-2)",
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},
{
"id": 1068762457113374800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 00:20:26",
"content": "Pinned a message.",
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"id": 1068762608892653600,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:21:02",
"content": "I need to solve, i know the first step is finding the least common multiple but i dont know how to and i dont know what to do with the multiple when i find it",
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},
{
"id": 1068762711388856300,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:21:27",
"content": "Do i use snowflakes method?",
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},
{
"id": 1068763237098721400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:23:32",
"content": "$\\frac{4}{x-2}=\\frac{-3}{x+5}+\\frac{7}{(x+5)(x-2)}$",
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},
{
"id": 1068763246053564400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 00:23:34",
"content": "**Frosst**",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:23:37",
"content": "Is this the question?",
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},
{
"id": 1068763324134719500,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:23:53",
"content": "yes",
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"id": 1068763421719416800,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:24:16",
"content": "I need to learn commands on this server to make it visually better",
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},
{
"id": 1068763435820662800,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:24:19",
"content": "ty for showing me this",
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},
{
"id": 1068763598844866600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:24:58",
"content": "Why don’t we get command denominators?",
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"id": 1068763626514690200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:25:05",
"content": "It’s just latex",
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"id": 1068763728352383100,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:25:29",
"content": "So there is x in the denominator",
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{
"id": 1068763816697012400,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:25:50",
"content": "My teacher says that when doing algebra the best first step is to remove the fractions",
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"id": 1068763846329774100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:25:57",
"content": "Right",
"attachments": [],
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},
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"id": 1068763855938928800,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:25:59",
"content": "but i dont know how ot in this situation",
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},
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"id": 1068763883738779600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:26:06",
"content": "And if you wanted to add 1/6 and 1/7 together",
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},
{
"id": 1068763898376900700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:26:10",
"content": "What would you do",
"attachments": [],
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},
{
"id": 1068764065436020900,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:26:49",
"content": "multiply numerator by 42?",
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},
{
"id": 1068764114681339900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:27:01",
"content": "Show me",
"attachments": [],
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},
{
"id": 1068764147036192800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:27:09",
"content": "Do 1/6 + 1/7 with working out",
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"author_name": "wee",
"timestamp": "01/28/2023 00:27:44",
"content": "okay lcd i believe is 42",
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"id": 1068764350539628500,
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"author_name": "wee",
"timestamp": "01/28/2023 00:27:57",
"content": "so i make 42/6 + 42/7",
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"id": 1068764423268880400,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:28:15",
"content": "turns equation into 7+6",
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},
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"id": 1068764438745845800,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:28:18",
"content": "total comes to 13",
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},
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"id": 1068764535860760600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:28:42",
"content": "So 1/6 + 1/7 = 13",
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},
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"id": 1068764557226545300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:28:47",
"content": "Is that what you’re saying",
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},
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"id": 1068764605289070600,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:28:58",
"content": "or maybe i just lost my mind right now and im supposed to multiply the denominator",
"attachments": [],
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},
{
"id": 1068764665116622800,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:29:12",
"content": "i feel like i have brain fog lol",
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},
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"id": 1068764691276505200,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:29:19",
"content": "thats not right at all",
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},
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"id": 1068764743566901200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:29:31",
"content": "Ok good at least you recognise there is a problem",
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},
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"id": 1068764775019970700,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:29:39",
"content": "1 6th and 1 7th cant make up 13 lol",
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},
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"id": 1068764795525939300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:29:43",
"content": "We don’t change a number if we multiply it by 1",
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},
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"id": 1068764840165912600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:29:54",
"content": "And a/a = 1 if a ≠ 0",
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},
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"id": 1068765086342185100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:30:53",
"content": "$\\frac{1}{6}=\\frac{1}{6}\\cdot\\frac{7}{7}=\\frac{7}{42}$",
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},
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"id": 1068765096777617400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 00:30:55",
"content": "**Frosst**",
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"author_name": "wee",
"timestamp": "01/28/2023 00:31:23",
"content": "i think i remember something about square rooting the problem",
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"id": 1068765238880645100,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:31:29",
"content": "am i on the right track with that information?",
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"id": 1068765255603322900,
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"author_name": "Frosst",
"timestamp": "01/28/2023 00:31:33",
"content": "No",
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},
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"id": 1068765311857340400,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:31:47",
"content": "okay",
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},
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"id": 1068765366156808200,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:31:59",
"content": "well what i do know is 7/7 = 1",
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},
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"id": 1068765367410896900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 00:32:00",
"content": "Do you follow this?",
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"id": 1068765580976476200,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:32:51",
"content": "yeah the question in that form is incorrect",
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},
{
"id": 1068765675381862400,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:33:13",
"content": "in the middle of the equation",
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},
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"id": 1068765731971412000,
"author_id": 165651813779898370,
"author_name": "wee",
"timestamp": "01/28/2023 00:33:27",
"content": "1/6 *7/7 still comes out to 1/6 correct?",
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},
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"timestamp": "01/28/2023 00:33:37",
"content": "Yep",
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"timestamp": "01/28/2023 00:33:48",
"content": "okay so its saying 1/6 = 1/6 = 7/42",
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"timestamp": "01/28/2023 00:33:48",
"content": "7/42 is the same as 1/6",
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"id": 1068765840650027000,
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"timestamp": "01/28/2023 00:33:53",
"content": "Yep",
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"timestamp": "01/28/2023 00:33:57",
"content": "i see that makes sense all are the same",
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"timestamp": "01/28/2023 00:34:02",
"content": "Yes",
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"timestamp": "01/28/2023 00:34:04",
"content": "Ok now",
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"timestamp": "01/28/2023 00:34:27",
"content": "$\\frac{1}{7}=\\frac{1}{7}\\cdot\\frac{6}{6}=\\frac{6}{42}$",
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"timestamp": "01/28/2023 00:34:30",
"content": "**Frosst**",
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"timestamp": "01/28/2023 00:34:58",
"content": "That is the same thing its just 1/7 = 1/7 = 1/7",
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"timestamp": "01/28/2023 00:35:19",
"content": "6/42 = 1/7 when simplified",
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"timestamp": "01/28/2023 00:35:27",
"content": "Yep",
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"timestamp": "01/28/2023 00:35:31",
"content": "So",
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"timestamp": "01/28/2023 00:36:23",
"content": "$\\frac{1}{6}+\\frac{1}{7}=\\frac{7}{42}+\\frac{6}{42}$",
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"timestamp": "01/28/2023 00:36:25",
"content": "**Frosst**",
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"timestamp": "01/28/2023 00:37:36",
"content": "okay 1/6 + 1/7 = 1/6 + 1/7",
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"timestamp": "01/28/2023 00:37:48",
"content": "equation equals zero",
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"timestamp": "01/28/2023 00:37:52",
"content": "But do you see what’s the special thing on the right",
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"timestamp": "01/28/2023 00:37:58",
"content": "They have the same denominator",
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"timestamp": "01/28/2023 00:38:04",
"content": "oh okay",
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"timestamp": "01/28/2023 00:38:26",
"content": "so you can add the numerators to make 13/42?",
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"timestamp": "01/28/2023 00:38:32",
"content": "Yep",
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"timestamp": "01/28/2023 00:38:53",
"content": "So 1/6 + 1/7 = 13/42",
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"timestamp": "01/28/2023 00:39:22",
"content": "thats the end of that equation correct",
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"timestamp": "01/28/2023 00:39:27",
"content": "Yep",
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"timestamp": "01/28/2023 00:39:44",
"content": "because 13/42 cannot be simplified",
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"timestamp": "01/28/2023 00:39:49",
"content": "Ok let’s try 1/3 + 1/6",
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"timestamp": "01/28/2023 00:40:19",
"content": "i dont understand how those could be added",
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"timestamp": "01/28/2023 00:41:14",
"content": "33.333% + 15.##%",
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"author_name": "Frosst",
"timestamp": "01/28/2023 00:41:15",
"content": "Well what did we do with 1/6 + 1/7?",
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"timestamp": "01/28/2023 00:41:47",
"content": "in this last equation?",
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"timestamp": "01/28/2023 00:42:01",
"content": "nothing because the denominators are different",
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"timestamp": "01/28/2023 00:42:14",
"content": "Here we added 1/6 and 1/7 to get 13/42",
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"timestamp": "01/28/2023 00:42:41",
"content": "the only connection im making to these numbers is that the least common denominator is 6 between the 2",
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"timestamp": "01/28/2023 00:42:47",
"content": "Can you apply the same steps for this 1/6 + 1/7 example for 1/3 + 1/6",
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"timestamp": "01/28/2023 00:43:50",
"content": "in the other equation there was a value on the other end of the equals sign",
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"timestamp": "01/28/2023 00:43:54",
"content": "im not seeing that here",
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"timestamp": "01/28/2023 00:44:01",
"content": "is there a way that i can create a value?",
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"author_name": "Frosst",
"timestamp": "01/28/2023 00:44:44",
"content": "Look at this",
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"timestamp": "01/28/2023 00:44:46",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1068765096752459858/244390699431100416.png",
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"timestamp": "01/28/2023 00:44:54",
"content": "Why did I choose 7/7",
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"timestamp": "01/28/2023 00:45:54",
"content": "idk, the only thing i could think is because there is a 7 in the numerator above the 42",
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"timestamp": "01/28/2023 00:46:11",
"content": "I could multiply 1/6 by any number",
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"timestamp": "01/28/2023 00:46:18",
"content": "7/7 or 8/8 or 100/100",
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"timestamp": "01/28/2023 00:46:23",
"content": "They all work",
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"timestamp": "01/28/2023 00:46:28",
"content": "But why did I choose 7/7",
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"timestamp": "01/28/2023 00:46:28",
"content": "yes they are all the same value",
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"timestamp": "01/28/2023 00:46:39",
"content": "There is a specific reason why I used 7/7",
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"timestamp": "01/28/2023 00:46:52",
"content": "because when multiplied by 6 it creates 42?",
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"timestamp": "01/28/2023 00:47:00",
"content": "Yes",
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"timestamp": "01/28/2023 00:47:06",
"content": "And what is special about 42?",
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"timestamp": "01/28/2023 00:47:24",
"content": "it divides into 7 6 times creating 1/6",
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"timestamp": "01/28/2023 00:47:32",
"content": "it divides into 42*",
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"id": 1068769296278360000,
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"timestamp": "01/28/2023 00:47:37",
"content": "No",
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"timestamp": "01/28/2023 00:47:58",
"content": "42 is the lowest common multiple (LCM) of 6 and 7",
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"author_name": "Frosst",
"timestamp": "01/28/2023 00:48:11",
"content": "The denominators I’m trying to add is 6 and 7 in 1/6 and 1/7",
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"timestamp": "01/28/2023 00:48:22",
"content": "okay i see",
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"timestamp": "01/28/2023 00:48:28",
"content": "So I want to multiply each fraction by a number that makes the denominators the same",
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"timestamp": "01/28/2023 00:48:38",
"content": "Then I can just add the numerators together",
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"timestamp": "01/28/2023 00:49:22",
"content": "When i multiply a fraction im multiplying both the numerator and denominator correct?",
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"timestamp": "01/28/2023 00:49:32",
"content": "$\\frac{1}{a}+\\frac{1}{b}=\\frac{a+b}{a*b}$",
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"timestamp": "01/28/2023 00:49:35",
"content": "**Frosst**",
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"timestamp": "01/28/2023 00:51:32",
"content": "$\\frac{1}{a}+\\frac{1}{b}\\\\\n= \\frac{1}{a}\\cdot\\frac{b}{b}+\\frac{1}{b}\\cdot\\frac{a}{a}\\\\\n=\\frac{b}{a*b}+\\frac{a}{b*a}\\\\\n=\\frac{a+b}{a*b}$",
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"timestamp": "01/28/2023 00:52:09",
"content": "**Frosst**",
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"timestamp": "01/28/2023 00:53:59",
"content": "This is something you should be taught around grade 5",
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"timestamp": "01/28/2023 00:55:29",
"content": "okay",
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"timestamp": "01/28/2023 00:57:24",
"content": "i see how this formula fits into this",
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"timestamp": "01/28/2023 00:58:02",
"content": "1/a is 1/6 , b/b is 7/7",
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"timestamp": "01/28/2023 01:13:03",
"content": "@wee Has your question been resolved?",
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"timestamp": "01/28/2023 01:23:21",
"content": "Sorry I was busy doing something, can you now do 1/3 + 1/6",
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"content": "Channel closed",
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] | help-9 | 57fd7fe34fe94e1995366ffd4d19590c |
201,093 | [
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"id": 1068779633060872300,
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"author_name": "Prof Phil",
"timestamp": "01/28/2023 01:28:41",
"content": "Maybe help them understand what a fraction is exactly. So they know more than just what buttons to push.",
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"timestamp": "01/28/2023 01:29:03",
"content": "Available help channel!",
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"timestamp": "01/28/2023 01:29:27",
"content": "You do realise discord is 13+ and grade 5 is like 10 years old",
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"timestamp": "01/28/2023 01:29:27",
"content": "Pinned a message.",
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"content": "Struggling with addition of fractions is quite a few years behind most curriculums",
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"content": "Of course. But there are many people who never got when they were 10",
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"author_name": "Angelina",
"timestamp": "01/28/2023 01:30:26",
"content": "You learn them in “grade 5” but it doesn’t mean he gets them though",
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"timestamp": "01/28/2023 01:30:37",
"content": "Them* sorry",
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"timestamp": "01/28/2023 01:30:42",
"content": "Precisely",
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"author_id": 740921268269875200,
"author_name": "COBRA",
"timestamp": "01/28/2023 01:31:10",
"content": "Can anyone help me to solve a problem",
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"id": 1068780420902158500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 01:31:49",
"content": "Normally you should use a channel that’s available",
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"id": 1068780437696151700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 01:31:53",
"content": "But just post it here",
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"id": 1068780710569193500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 01:32:58",
"content": "You already have a channel #help-1｜lebenmus",
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"id": 1068780739568615400,
"author_id": 740921268269875200,
"author_name": "COBRA",
"timestamp": "01/28/2023 01:33:05",
"content": "I do",
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"id": 1068781079839920100,
"author_id": 577258344675541000,
"author_name": "Angelina",
"timestamp": "01/28/2023 01:34:26",
"content": "Why are you posting it here when someone else is trying to learn something",
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"id": 1068781090044657700,
"author_id": 577258344675541000,
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"timestamp": "01/28/2023 01:34:28",
"content": "💀",
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"id": 1068781124479877100,
"author_id": 740921268269875200,
"author_name": "COBRA",
"timestamp": "01/28/2023 01:34:37",
"content": "I am sorry",
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},
{
"id": 1068781228318261200,
"author_id": 492356196142022700,
"author_name": "brightman",
"timestamp": "01/28/2023 01:35:01",
"content": "they should probably listen to their teacher next time",
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"id": 1068781306080665600,
"author_id": 244390699431100400,
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"timestamp": "01/28/2023 01:35:20",
"content": "Anyway",
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"id": 1068781314846757000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/28/2023 01:35:22",
"content": ".close",
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"id": 1068781317547900900,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 01:35:23",
"content": "Channel closed",
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] | help-9 | bd626d38ad504ce9b3deed9185f49494 |
201,094 | [
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"content": "Available help channel!",
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},
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"author_id": 753149722264469500,
"author_name": "ArinaAriel",
"timestamp": "01/28/2023 02:36:41",
"content": "Hi i need some help about this following questions below can you guys explain it to me ?",
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"content": ":uhhhh: the quality",
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"timestamp": "01/28/2023 02:51:41",
"content": "@ArinaAriel Has your question been resolved?",
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] | help-9 | 61d7dd768f6c49f0911b2802732d6988 |
201,095 | [
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"id": 1068820848972136400,
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"author_name": "Bedsheat",
"timestamp": "01/28/2023 04:12:28",
"content": "In a Zoo, there are 6 Bengal white tigers and 8 Bengal royal tigers. Out of these tigers, 5 are males and 10 are either Bengal royal tigers or males. Find the number of female Bengal white tigers in the Zoo.",
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"content": "Pinned a message.",
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"content": "@Bedsheat Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "Anant",
"timestamp": "01/28/2023 04:29:45",
"content": "yup wait..lemme go through itt",
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"content": "pls do im very stuck",
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"content": "@Bedsheat Has your question been resolved?",
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"timestamp": "01/28/2023 05:18:34",
"content": "i hope that's readable if ur still there",
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"content": "it is thx man",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | c756c4b3c33847f9b363bf4592174a2b |
201,096 | [
{
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"content": "Available help channel!",
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{
"id": 1068856891461091300,
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"author_name": "- -",
"timestamp": "01/28/2023 06:35:41",
"content": "how do i proceed with this 10 = -6 + c",
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"id": 1068856894208356400,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 06:35:41",
"content": "Pinned a message.",
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"id": 1068856938063986700,
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"timestamp": "01/28/2023 06:35:52",
"content": "i am stuck on this step",
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"id": 1068857011342676000,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:36:09",
"content": "is there more context?",
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{
"id": 1068857166942961800,
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"timestamp": "01/28/2023 06:36:47",
"content": "there was a point i have input it in this like 10 = 3/4 (-8) + c",
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"id": 1068857272396165200,
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"author_name": "- -",
"timestamp": "01/28/2023 06:37:12",
"content": "it gave 10 = -24/4 + c",
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},
{
"id": 1068857294932156400,
"author_id": 943386909126820000,
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"timestamp": "01/28/2023 06:37:17",
"content": "10 = -6 + c",
"attachments": [],
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},
{
"id": 1068857398032339000,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:37:42",
"content": "here i am stuck on it",
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},
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"id": 1068857408027377700,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:37:44",
"content": "ok, please post the original question",
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},
{
"id": 1068857575262666800,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:38:24",
"content": "this is probably my question",
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"id": 1068857747258490900,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:39:05",
"content": "are you trying to solve for c?",
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{
"id": 1068858158761640100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:40:43",
"content": "i am solving for c",
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},
{
"id": 1068858578288529500,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:42:23",
"content": "ok",
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},
{
"id": 1068858710715269200,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:42:55",
"content": "I don't know how to tell you how to solve for c without holding your hand fully so",
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},
{
"id": 1068858735092564000,
"author_id": 751605650173460600,
"author_name": "Da Diamond Hoe",
"timestamp": "01/28/2023 06:43:00",
"content": "This is just linear equation with one variable",
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},
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"id": 1068858740650016800,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:43:02",
"content": "10 = -6 + c is already VERY very close",
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{
"id": 1068858898116771800,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:43:39",
"content": "earlier there were changes in signs",
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},
{
"id": 1068858955423555700,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:43:53",
"content": "like usually - 6 - 10 = c",
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},
{
"id": 1068859131299123200,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:44:35",
"content": "why cant you do like this -6 - 10 = c?",
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"id": 1068859173405733000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/28/2023 06:44:45",
"content": "how did you get that?",
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"id": 1068859285817266200,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:45:12",
"content": "^",
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},
{
"id": 1068859304779714600,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:45:16",
"content": "i kept -6 where it is",
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},
{
"id": 1068859386493145100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:45:36",
"content": "and with 10 i knew that it has a postive sign therefore",
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"id": 1068859490511896600,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:46:00",
"content": "that would give me something like 16 = c this is not right",
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},
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"id": 1068859542684835800,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:46:13",
"content": "why is that not right?",
"attachments": [],
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},
{
"id": 1068859634187780100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:46:35",
"content": "it should be right i am stuck on this step",
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},
{
"id": 1068859930087538800,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:47:45",
"content": "10 = -6 + c",
"attachments": [],
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},
{
"id": 1068859984273756200,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:47:58",
"content": "why do you say that 16 = c is not right",
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},
{
"id": 1068860037986001000,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:48:11",
"content": "i saw my answer in my answers booklet",
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},
{
"id": 1068860064628219900,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:48:17",
"content": "it said 4",
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},
{
"id": 1068860092851683300,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:48:24",
"content": "and so 16 isnt right",
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},
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"id": 1068860107162656900,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 06:48:28",
"content": "ok please please please post the original question",
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},
{
"id": 1068860242143739900,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/28/2023 06:49:00",
"content": "the question is lengthy i cant write it",
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"timestamp": "01/28/2023 06:49:12",
"content": "16 is the correct solution to this",
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"content": "you can check by plugging it in",
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"timestamp": "01/28/2023 06:49:31",
"content": "so you made the mistake earlier if you got that equation",
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"timestamp": "01/28/2023 06:49:54",
"content": "this has said its 4",
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"timestamp": "01/28/2023 06:51:26",
"content": "take a picture",
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"timestamp": "01/28/2023 07:06:27",
"content": "for which question",
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"timestamp": "01/28/2023 07:07:13",
"content": "the question b",
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"timestamp": "01/28/2023 07:08:16",
"content": "this is a straight line",
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"content": "do you know how to find the gradient",
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"content": "i know how to find the gradient",
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"content": "i have found it and it is 3/4",
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"content": "are you sure it is 3/4?",
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"content": "its 3/4",
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"author_name": "DerpZ",
"timestamp": "01/28/2023 07:14:44",
"content": "how did a negative sign vanish in the second last line",
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"timestamp": "01/28/2023 07:15:38",
"content": "i didnt get it",
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"author_name": "DerpZ",
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"content": "-8-4 = ?",
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"timestamp": "01/28/2023 07:16:17",
"content": "they both have the same -ve signs so they were merely cancelled ;",
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"author_name": "DerpZ",
"timestamp": "01/28/2023 07:16:23",
"content": "sorry please don't take this the wrong way but what year of school are you in",
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"id": 1068867281305751600,
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"timestamp": "01/28/2023 07:16:58",
"content": "my school year it is year 11",
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"timestamp": "01/28/2023 07:17:26",
"content": "this in the UK?",
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"id": 1068867413384384500,
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"timestamp": "01/28/2023 07:17:29",
"content": "my bad",
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"id": 1068867454471782400,
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"timestamp": "01/28/2023 07:17:39",
"content": "this should ve been - 3/4",
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"timestamp": "01/28/2023 07:17:54",
"content": "ok now let's solve for c",
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"content": "-8-4 = -12 this is done in division",
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"content": "it is -12",
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"content": "yup",
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"content": "okay so for c",
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"content": "now that you've corrected this let's solve it yeah",
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"content": "lets solve it for c",
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"content": "y = mx+c, taking point p it is ( -8, 10)",
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"content": "10 = -3/4 (-8) + c",
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"timestamp": "01/28/2023 07:21:13",
"content": "10 = 24/4 + c",
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"timestamp": "01/28/2023 07:21:58",
"content": "10 = 6 + c",
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"content": "10 - 6 = c",
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"content": "4 = c",
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"timestamp": "01/28/2023 07:22:25",
"content": "very good",
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"timestamp": "01/28/2023 07:22:46",
"content": "and now i am thinking why i couldnt understand this before",
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"timestamp": "01/28/2023 07:24:20",
"content": "thank you @DerpZ",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | e14af220de164214ad4db13f2fbbafc7 |
201,097 | [
{
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"content": "no worries",
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"id": 1068871845052416000,
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"author_name": "Nikaa",
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"content": "how do i find Bissectrice in a right triangle?",
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"timestamp": "01/28/2023 07:35:12",
"content": "given ACB triangle",
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"content": "C being 90^angle",
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"id": 1068871957568823400,
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"timestamp": "01/28/2023 07:35:33",
"content": "i have two bissectrices landing on the sides",
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"id": 1068871979022696600,
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"content": "AC and CB",
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"timestamp": "01/28/2023 07:35:53",
"content": "AC is 12 CB is 9 and AB is 15",
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"timestamp": "01/28/2023 07:36:08",
"content": "i have to find BK and AD",
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"content": "Bissectrices",
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"author_id": 699616980042252300,
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"timestamp": "01/28/2023 07:38:41",
"content": "Just use this theorem and you'll easily find the answer since you know all the sides of the triangle",
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"content": "@Nikaa",
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"content": "Also\nc/p=b/q if that doesn't go without saying",
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"content": "is it the same with a right triangle?",
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"timestamp": "01/28/2023 07:39:50",
"content": "how would one find AD there?",
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"content": "It is common theorem with every bisectrice",
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"timestamp": "01/28/2023 07:40:19",
"content": "yeah used it a lot before this task",
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"content": "how would you find AD?",
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"timestamp": "01/28/2023 07:41:59",
"content": "oh wait i got it",
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"timestamp": "01/28/2023 07:42:02",
"content": "thanks!",
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"content": ".close",
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] | help-9 | 54ba0e9b4f784e458739ab0aa28b5b71 |
201,098 | [
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"timestamp": "01/28/2023 07:47:20",
"content": "$$\\left(x+3\\right)\\left(x-1\\right)^5$$",
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"id": 1068874934807429200,
"author_id": 510789298321096700,
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"timestamp": "01/28/2023 07:47:23",
"content": "**NEONPerseus**",
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"timestamp": "01/28/2023 07:47:23",
"content": "**🌌🌒**",
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"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:47:33",
"content": "alr thanks tho",
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"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:47:40",
"content": "so my question is",
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"id": 1068875244170916000,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:48:36",
"content": "can we write this as $x\\left(x+3\\right)^5+3\\left(x-1\\right)^5$$",
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"author_name": "TeXit",
"timestamp": "01/28/2023 07:48:39",
"content": "**🌌🌒**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:49:03",
"content": "$x(x - 1)^5 + 3(x - 1)^5$",
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},
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"id": 1068875366095147000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 07:49:06",
"content": "**NEONPerseus**",
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"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:49:12",
"content": "It can be written like this",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:49:16",
"content": "If that's what you mean",
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"id": 1068875608085516300,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:50:03",
"content": "so are thoses 2 expression equivalent in value ?",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:50:13",
"content": "This and the original",
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},
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"id": 1068875658555560000,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:50:15",
"content": "yes they are",
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"id": 1068875860091883500,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:51:03",
"content": "so i can integrate the original function as sum of 2 integrals , integration by parts",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:51:30",
"content": "Sure",
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"id": 1068876232936136700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/28/2023 07:52:32",
"content": "what's stopping you from doing ibp immediately",
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"id": 1068876455645282300,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:53:25",
"content": "i tried to do that but i checked my results with symbolab & it didn't work",
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"id": 1068876460472942600,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:53:26",
"content": "but",
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"id": 1068876477296291800,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:53:30",
"content": "that's not the main",
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},
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"id": 1068876566794358800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/28/2023 07:53:52",
"content": "results may differ by a constant",
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},
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"id": 1068876595332403300,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:53:59",
"content": "i checked these 2 expression on sumbolab & they weren't equivalent",
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},
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"id": 1068876702001930400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/28/2023 07:54:24",
"content": "what result were you getting and what was symbolab's output\nideally also show the work you did",
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},
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"id": 1068876817706000400,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:54:52",
"content": "",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:55:29",
"content": "I said $x(x - 1)^5 + 3(x - 1)^5$",
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},
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"id": 1068876982848336000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 07:55:31",
"content": "**NEONPerseus**",
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"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:55:32",
"content": "Not that",
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},
{
"id": 1068877225379762300,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:56:29",
"content": "oh isee why , idont know why i couldn't see that",
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},
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"id": 1068877335807406100,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:56:55",
"content": "thx , ithink im tired or something",
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},
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"id": 1068877360344088700,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/28/2023 07:57:01",
"content": "All good",
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},
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"id": 1068877379650453600,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/28/2023 07:57:06",
"content": ".close",
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},
{
"id": 1068877382775218300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 07:57:06",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 9e9aa0da66554a138837ba629b30245b |
201,099 | [
{
"id": 1036632204886937700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 09:26:17",
"content": "Available help channel!",
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},
{
"id": 1036634807867809800,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "10/31/2022 09:36:37",
"content": "Hey I'm havin trouble finding the point of contact of tangents on a circle ?? How do we do it",
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},
{
"id": 1036634809809784800,
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"content": "Pinned a message.",
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"id": 1036635068707385500,
"author_id": 567923286789586940,
"author_name": "Absolute Chips",
"timestamp": "10/31/2022 09:37:40",
"content": "Set the equation of circle and the equation of the line as system of equations",
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},
{
"id": 1036635156942954500,
"author_id": 567923286789586940,
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"timestamp": "10/31/2022 09:38:01",
"content": "System of equations or simultaneous equations",
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"timestamp": "10/31/2022 09:51:38",
"content": "@Drûnk_Piratë Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | f13bffcc3c6a4416802490ecd6365a4a |
201,100 | [
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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},
{
"id": 1068883059870535800,
"author_id": 723518226809487400,
"author_name": "Norbi",
"timestamp": "01/28/2023 08:19:40",
"content": "I'm looking at triangle, and I want to know length of AC. When I'm calculating it from \"4/sin60 = AC/sin90\" I'm getting different result than if I'm calculating it from 30, 60, 90 triangle rule.",
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"id": 1068883365404623000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "01/28/2023 08:20:53",
"content": "Have you learned trigonometric functions? (sin, cos, tan)",
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"timestamp": "01/28/2023 08:21:01",
"content": "You don't need to use the sine rule",
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"id": 1068883425664192500,
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"timestamp": "01/28/2023 08:21:07",
"content": "microsoft paint has a text tool btw",
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"timestamp": "01/28/2023 08:21:10",
"content": "Yes",
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"author_name": "Ann",
"timestamp": "01/28/2023 08:21:21",
"content": "show work",
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"author_name": "Ann",
"timestamp": "01/28/2023 08:21:35",
"content": "we have to rule out arithmetic errors",
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"author_name": "NEONPerseus",
"timestamp": "01/28/2023 08:21:38",
"content": "Just focus on one angle and use its relation between the hypotenuse and a known side using trigonometry",
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"content": "I know, but I shouldn't get different results",
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"content": "Show work!",
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"id": 1068884247529672700,
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"author_name": "Norbi",
"timestamp": "01/28/2023 08:24:23",
"content": "4/sin60 = AC/sin90\n4/\\sqrt{3}/2 = AC/1\n4*2/\\sqrt{3} = AC\n8/\\sqrt{3} =AC",
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"timestamp": "01/28/2023 08:24:57",
"content": "8*sqrt{3} / 3 = AC",
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"timestamp": "01/28/2023 08:25:07",
"content": "so you got AC = 8sqrt(3)/3? yeah that sounds about right.",
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"id": 1068884745691353100,
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"author_name": "Norbi",
"timestamp": "01/28/2023 08:26:22",
"content": "But when I'm using rule 30, 60, 90, I'm getting 4sqrt(3)",
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"timestamp": "01/28/2023 08:26:59",
"content": "this triangle is mislabeled",
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"timestamp": "01/28/2023 08:27:06",
"content": "the a sqrt(3) and a are the wrong way around",
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"timestamp": "01/28/2023 08:28:48",
"content": "Oh thanks",
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"id": 1068885479627440100,
"author_id": 723518226809487400,
"author_name": "Norbi",
"timestamp": "01/28/2023 08:29:17",
"content": "Then I must have found really bad math site lol",
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"timestamp": "01/28/2023 08:44:17",
"content": "@Norbi Has your question been resolved?",
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"timestamp": "01/28/2023 08:44:26",
"content": "Channel closed",
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}
] | help-9 | cb7f3dbdaf8249549fe6bd3e65fe3bce |
201,101 | [
{
"id": 1068889544520380500,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 08:45:26",
"content": "Available help channel!",
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},
{
"id": 1068893260984099000,
"author_id": 821928621635141600,
"author_name": "xXjanixniodaXx",
"timestamp": "01/28/2023 09:00:12",
"content": "Hallo i have a simple question \nWhats the difference between angle ADC and Angle A",
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"content": "Pinned a message.",
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"author_name": "xXjanixniodaXx",
"timestamp": "01/28/2023 09:00:39",
"content": "Like whats the difference if they say 3 letters and just one letter",
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"content": "angle A just means angle BAD",
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"content": "here they refer to the same thing",
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"content": "but for more complicated diagrams, three points are needed to unambiguously name your angle",
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"content": "Ohh",
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"content": "e.g.",
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"content": "there are multiple angles around F,",
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"content": "just saying F, noone will have any idea which one you're talking about",
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"content": "If for example, they gave me angle ABC that would just mean its angle B?",
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"content": "in your diagram yes",
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"content": "For this specific question, yes",
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"content": "Alr alr so if they say three letters the letter in the middle would be the angle?",
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"content": "we're still talking about parallelograms but il keep that in mind thanks",
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"content": "Alr thanks guys",
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"content": ".close",
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] | help-9 | eb0b87c2d940485eaf9919ea99c312d0 |
201,102 | [
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] | help-9 | 9f485ce4d2514d339f6f9475df989c0b |
201,103 | [
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"content": "one to one and injective are not the same right ?",
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"content": "tell me the definition",
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"content": "for one-to-one or injective",
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"content": "r these both one to one and injective ?",
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"content": "Prove that limits, if they exist, are unique. \\\\ Suppose that $f$ is a real valued function of a real variable, $a$ is an accumulation point of the domain of $f$, and $a$, $m \\in \\mathbb{R}$. \\\\ Prove that if $f(x) \\to a$ as $x \\to a$ and $f(x) \\to m$ as $x \\to a$, then $l = m$.",
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"content": "Can someone give me a hint for this please?",
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"content": "(After the epsilon delta definition of limits)",
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"content": "We can mess around with these inequalities but that won't help, right?",
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"content": "$\\forall \\epsilon > 0: \\exists \\delta > 0: \\forall x \\in \\mathbb{R}: 0<|x-a|<\\delta \\Longrightarrow |f(x)-l| <\\epsilon$",
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"content": "**rbit ✨**",
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"content": "this is given right?",
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"content": "$\\forall \\epsilon > 0: \\exists \\delta > 0: \\forall x \\in \\mathbb{R}: 0<|x-a|<\\delta \\Longrightarrow |f(x)-m| <\\epsilon$",
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"timestamp": "01/28/2023 09:37:34",
"content": "try to draw the situation",
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"content": "This is the epsilon delta definition of a limit, yes",
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"content": "**rbit ✨**",
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"timestamp": "01/28/2023 09:37:38",
"content": "and this",
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"content": "This, we need to prove",
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"content": "We know that",
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"content": "holds",
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"content": "what",
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"content": "that's also given",
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"content": "dont we know that both of these hold, and we prove that l=m?",
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"content": "this is your assumption to show uniqueness",
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"content": "holds?",
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"content": "We only know that with - l, it holds, no?",
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"content": "we want to show that limits are unique, so given two limits l and m, we show that l=m",
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"content": "oh",
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"timestamp": "01/28/2023 09:39:59",
"content": "Alright, so we know that both of these hold, that's where we start",
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"content": "For all $\\epsilon > 0$, there exists a $\\delta > 0$ so that whenever $0 < |x - a| < \\delta$, we have $|f(x) - l| < \\epsilon$. \\\\\\\\ For all $\\epsilon > 0$, there exists a $\\delta > 0$ so that whenever $0 < |x - a| < \\delta$, we have $|f(x) - m| < \\epsilon$.",
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"timestamp": "01/28/2023 09:42:53",
"content": "Intuitively, it makes sense that m = l because f needs to be equal to l/m, since epsilon can be arbitrarily small",
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"timestamp": "01/28/2023 09:43:02",
"content": "f(x) cant be equal to two distinct values",
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"timestamp": "01/28/2023 09:43:06",
"content": "so f(x) = m = l",
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"timestamp": "01/28/2023 09:43:25",
"content": "now let any epsilon > 0 be given, how would you choose a delta > 0, so that for all x with 0 < |x-a| < delta, both of these hold\n|f(x)-l| < epsilon and |f(x)-m| < epsilon",
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"timestamp": "01/28/2023 09:45:06",
"content": "hmm, the two inequalities 0 < |x - a| < delta and |f(x) - l| < epsilon dont have much in common",
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"author_name": "Denascite",
"timestamp": "01/28/2023 09:45:14",
"content": "nothing about this here says that f(x) is even defined, let alone equal to m or l. only the limit is.",
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"timestamp": "01/28/2023 09:48:40",
"content": "how about you take the two given statements, and just choose delta as the minimum of both their deltas?",
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"timestamp": "01/28/2023 09:49:24",
"content": "For all $\\epsilon > 0$, there exists a $\\delta > 0$ so that whenever $0 < |x - a| < \\delta$, we have $|f(x) - l| < \\epsilon$ and $|f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 09:49:27",
"content": "**rbit ✨**",
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"timestamp": "01/28/2023 09:49:30",
"content": "this is what we want",
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"timestamp": "01/28/2023 09:49:51",
"content": "$\\delta = min(\\delta_1, \\delta_2)$, but we don't know $\\delta_1$ and $\\delta_2$",
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"timestamp": "01/28/2023 09:50:19",
"content": "delta 1 and 2 just come from these",
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"author_name": "Sup?",
"timestamp": "01/28/2023 09:50:27",
"content": "You need to use the fact that a = b iff |a-b| < e, given any arbitrary e",
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"author_name": "Sup?",
"timestamp": "01/28/2023 09:50:38",
"content": "and yes, you were right, need to work with the inequalities here",
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"timestamp": "01/28/2023 09:51:20",
"content": "from these two",
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"timestamp": "01/28/2023 09:51:22",
"content": "Yeah, we know that they exist, but we can't say that $\\delta_1 = \\frac{\\epsilon}{7}$ and $\\delta_2 = \\frac{\\epsilon}{9}$ for example",
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"timestamp": "01/28/2023 09:51:43",
"content": "I guess we don't need that here",
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"timestamp": "01/28/2023 09:51:49",
"content": "we dont need to know them exactly",
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"timestamp": "01/28/2023 09:52:07",
"content": "just that they exist, and taking the minimum gives what we want",
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"timestamp": "01/28/2023 09:52:17",
"content": "Yeah",
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"timestamp": "01/28/2023 09:52:30",
"content": "So we found a delta that fulfills both inequalities",
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"timestamp": "01/28/2023 09:52:36",
"content": "For all $\\epsilon > 0$, there exists a $\\delta > 0$ so that whenever $0 < |x - a| < \\delta$, we have $|f(x) - l| < \\epsilon$ and $|f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 09:52:39",
"content": "**rbit ✨**",
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"timestamp": "01/28/2023 09:53:09",
"content": "now if we just take just any x with 0 < |x-a| < delta",
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"timestamp": "01/28/2023 09:53:59",
"content": "For all $\\epsilon > 0$, there exists an $x \\in \\mathbb{R}$, so that we have $|f(x) - l| < \\epsilon$ and $|f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 09:54:02",
"content": "**rbit ✨**",
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"timestamp": "01/28/2023 09:55:33",
"content": "An x that fulfills our 0 < |x - a| < delta condition, yes",
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"timestamp": "01/28/2023 09:56:24",
"content": "$|f(x)-l| < \\epsilon$ and $|f(x)-m| < \\epsilon$",
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"timestamp": "01/28/2023 09:56:26",
"content": "**rbit ✨**",
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"timestamp": "01/28/2023 09:56:38",
"content": "lets just look at these, can you add these together?",
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"timestamp": "01/28/2023 09:57:23",
"content": "$|f(x) - l| + |f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 09:58:07",
"content": "you mean 2 epsilon?",
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"timestamp": "01/28/2023 09:58:41",
"content": "$|f(x) - l| + |f(x) - m| < \\epsilon$ \n\n$|2f(x) - l - m| \\leq |f(x) - l| + |f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 09:58:44",
"content": "**Kepe**",
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"timestamp": "01/28/2023 09:59:12",
"content": "Wait a sec",
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"timestamp": "01/28/2023 09:59:22",
"content": "that last step goes in the right direction but its not quite it, you need to do it in such a way that cancels out the f(x)",
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"timestamp": "01/28/2023 10:00:47",
"content": "The subtraction triangle inequality |a - b| >= |a| - |b| would work ig, but we cant do that",
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"timestamp": "01/28/2023 10:01:30",
"content": "you know how\n|a| = |-a|?",
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"timestamp": "01/28/2023 10:01:44",
"content": "Oh, wait a sec",
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"timestamp": "01/28/2023 10:02:40",
"content": "$|f(x) - l| + |f(x) - m| < \\epsilon$ \n\n$|-f(x) + l| + |f(x) - m| < \\epsilon$\n\n$|l - m| \\leq |-f(x) + l| + |f(x) - m| < \\epsilon$",
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"timestamp": "01/28/2023 10:02:54",
"content": "yeah",
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"timestamp": "01/28/2023 10:03:02",
"content": "but still, has to be 2 epsilon",
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"timestamp": "01/28/2023 10:03:17",
"content": "Oops, so $|l - m| < 2\\epsilon$",
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"timestamp": "01/28/2023 10:03:32",
"content": "Yeah, l = m since epsilon can be arbitrary small",
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"timestamp": "01/28/2023 10:03:34",
"content": "thank you!",
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"timestamp": "01/28/2023 10:03:46",
"content": "right",
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"timestamp": "01/28/2023 10:03:56",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 10:03:57",
"content": "Channel closed",
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}
] | help-9 | abe16d6a09db46199b91209d087f9a32 |
201,104 | [
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"timestamp": "01/28/2023 10:04:57",
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"timestamp": "01/28/2023 10:07:19",
"content": "Need some help with how to deal with neumann B.C",
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"id": 1068910359005642900,
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"timestamp": "01/28/2023 10:08:08",
"content": "So far I've tried to set n(x,t)=X(x)T(t) and started by trying to solve the homogenous. Declared that aX''/X=T'/T are equal to constants",
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"content": "then ive tried to solve X''=(bX)/a where b is some arbitrary constant",
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"content": "set b>0 by b=c^2",
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"content": "by auxillary equation i've gotten r^2=c^2/a",
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"content": "X is thus = Ae^((xc)/sqrt(a)) + Be^((xc)/sqrt(a))",
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"content": "now i'm not sure what to do as i've never dealt with the boundary condition n_x(0,t)=0 before. I'm not sure how to use it to tell me anything about the solution,",
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"timestamp": "01/28/2023 10:14:01",
"content": "It's in swedish but hope the idea gets across. Btw b from the text above is equal to lambda here.",
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"timestamp": "01/28/2023 10:29:01",
"content": "@Antonio Has your question been resolved?",
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"timestamp": "01/28/2023 10:35:52",
"content": "!solved",
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"timestamp": "01/28/2023 10:35:57",
"content": ".close",
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"timestamp": "01/28/2023 10:35:58",
"content": "Channel closed",
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] | help-9 | 7031e318110b47ad8199a34dc1777501 |
201,105 | [
{
"id": 1068925215083606000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 11:07:10",
"content": "Available help channel!",
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"id": 1068937199418101800,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:54:48",
"content": "need to get the equasion of the parabola (quadratic function)",
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"timestamp": "01/28/2023 11:54:48",
"content": "Pinned a message.",
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"id": 1068937355144216600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:55:25",
"content": "welp are you familiar with the vertex form?",
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"id": 1068937414741074000,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:55:39",
"content": "i need to get it in standard form",
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"id": 1068937435486105600,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 11:55:44",
"content": "i gotta show my steps and shi",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:55:46",
"content": "so annoying",
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},
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"id": 1068937508295028700,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:56:01",
"content": "can u teach me how?",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:56:15",
"content": "yeah i think so",
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"timestamp": "01/28/2023 11:56:18",
"content": "not sure",
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},
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"id": 1068937609189003300,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:56:25",
"content": "i mean i know it but i dont remember it",
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"id": 1068937835865964500,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:57:19",
"content": "\"i know it but i don't remember it\" means??",
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},
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"id": 1068937862202007800,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:57:26",
"content": "but welp if you know that the vertex is (2,2)",
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"id": 1068937888907145200,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:57:32",
"content": "yeah",
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"id": 1068937896029069300,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:57:34",
"content": "which is quite clear in the graph",
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"id": 1068937911531221000,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:57:38",
"content": "yup",
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"id": 1068937930871160800,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:57:42",
"content": "you can plug the point into the vertex form",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:57:49",
"content": "wym",
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"id": 1068937980565270500,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:57:54",
"content": "then you can find another point in the graph",
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"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/28/2023 11:58:11",
"content": "do you know the veretx form?",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:58:47",
"content": "i think its (x+b)(x-a)",
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"id": 1068938217866408000,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 11:58:51",
"content": "idk",
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"timestamp": "01/28/2023 11:59:05",
"content": "thats all i can remember from it",
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"timestamp": "01/28/2023 12:01:58",
"content": "@Helpers",
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"id": 1068939043800367200,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:02:07",
"content": ".",
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"author_id": 699616980042252300,
"author_name": "FATİH",
"timestamp": "01/28/2023 12:03:51",
"content": "ax²+bx+c",
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"author_name": "FATİH",
"timestamp": "01/28/2023 12:04:20",
"content": "Do you mean the Formula for the vertex value or the formula for the roots",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:05:01",
"content": "i have no idea what that means",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:05:06",
"content": "this formula",
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"timestamp": "01/28/2023 12:05:20",
"content": "thats what i need to find",
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"author_id": 699616980042252300,
"author_name": "FATİH",
"timestamp": "01/28/2023 12:05:46",
"content": "Oh ok",
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{
"id": 1068940055827189900,
"author_id": 699616980042252300,
"author_name": "FATİH",
"timestamp": "01/28/2023 12:06:09",
"content": "You have the graph and you need the ax²+bx+c form function",
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"id": 1068940099372454000,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:06:19",
"content": "yeah",
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},
{
"id": 1068940163264299000,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:06:34",
"content": "what do i do",
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},
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"author_id": 699616980042252300,
"author_name": "FATİH",
"timestamp": "01/28/2023 12:08:35",
"content": "Sorry i don't know how to explain it without probably confusing you hope somebody else helps",
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"id": 1068940754480804000,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:08:55",
"content": "i mean if ur up for it we can go in a call or sumth",
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{
"id": 1068941181444178000,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:10:37",
"content": "the vertex form of a parabola is\nf(x)=a(x-h)²+k, with (h,k) being the vertex",
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"id": 1068941279838355500,
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"author_name": "jay.",
"timestamp": "01/28/2023 12:11:01",
"content": "the vertex here is (2,2) which is pretty obvious",
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"id": 1068941353704227000,
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"author_name": "jay.",
"timestamp": "01/28/2023 12:11:18",
"content": "if you put h=2 and k=2 into the vertex form",
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"id": 1068941472482742400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:11:47",
"content": "you get\nf(x)= a(x-2)²+2",
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"id": 1068941512139870300,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:11:56",
"content": "this function goes through (0,0)",
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"id": 1068941659393499300,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:12:31",
"content": "so you subb in x=0 and find the value of 'a' using that f(0)=0",
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"id": 1068941777207312400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:12:59",
"content": "then you can expand it to fix it into ax²+bx+c form",
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"id": 1068941818936447100,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:13:09",
"content": "ok ill give it a try",
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},
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"id": 1068941840251899900,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:13:14",
"content": "thanks g",
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},
{
"id": 1068941934917341200,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:13:37",
"content": "there's another method for this",
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},
{
"id": 1068941999224393900,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:13:52",
"content": "you can find the x-intercepts of this function, which is 0 and 4",
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"id": 1068942017951965200,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:13:57",
"content": "im listening",
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},
{
"id": 1068942184625217700,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:14:36",
"content": "can you set up a quadratic equation that has 0 and 4 as roots and has a leading coefficient of 'a'?",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:15:06",
"content": "i dont know what that means XD",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:16:22",
"content": "",
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"timestamp": "01/28/2023 12:16:25",
"content": "it's called an intercept form",
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"timestamp": "01/28/2023 12:17:11",
"content": "oh ok",
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"id": 1068942870821732400,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:17:20",
"content": "ill try them, both and see whats easier",
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"id": 1068942899229757400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:17:27",
"content": "ok",
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"id": 1068942985959571500,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:17:47",
"content": "oh btw when i sub x for 0 do i distribute a",
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"id": 1068943040636538900,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:18:00",
"content": "on the (0-2)",
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"id": 1068943165328994400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:18:30",
"content": "yes",
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"id": 1068943188397662300,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:18:36",
"content": "ok",
"attachments": [],
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},
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"id": 1068943268680839300,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:18:55",
"content": "do i calculate the ^2 before or after the distribution?",
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"id": 1068943286586327200,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:18:59",
"content": "before",
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},
{
"id": 1068943288448598100,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:18:59",
"content": "i thiink after?",
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"id": 1068943359579799700,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:19:16",
"content": "how do u do 0^2 😭",
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"id": 1068943446150217700,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:19:37",
"content": "a(0-2)^2 and {a(0-2)}^2 are completely different things",
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"timestamp": "01/28/2023 12:19:55",
"content": "you calculate 0-2 first and then square it to find (0-2)^2",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:20:18",
"content": "wait so it ends up as f(0)=a-4a+2?",
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"timestamp": "01/28/2023 12:20:42",
"content": "if so then what now?",
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"content": "oof",
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"timestamp": "01/28/2023 12:21:12",
"content": "you're doing a multiplied by (0-2)^2",
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"content": "yeah",
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"content": "what did you get for (0-2)^2",
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"id": 1068943938720895000,
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"timestamp": "01/28/2023 12:21:35",
"content": "4a",
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"timestamp": "01/28/2023 12:21:38",
"content": "yes",
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"timestamp": "01/28/2023 12:21:48",
"content": "oh shit i didnt remove the first a",
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"timestamp": "01/28/2023 12:21:49",
"content": "so it's just f(0)=4a+2",
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"timestamp": "01/28/2023 12:21:53",
"content": "the initial one",
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"timestamp": "01/28/2023 12:21:55",
"content": "yeah mybad",
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"timestamp": "01/28/2023 12:22:03",
"content": "im just terrible at math",
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"timestamp": "01/28/2023 12:22:11",
"content": "this function goes through (0,0)",
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"timestamp": "01/28/2023 12:22:22",
"content": "so what would the value of f(0) be?",
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"timestamp": "01/28/2023 12:22:26",
"content": "4+2",
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"content": "wdym it goes through (0,0)?",
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"timestamp": "01/28/2023 12:22:54",
"content": "look at this",
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"timestamp": "01/28/2023 12:23:01",
"content": "it crosses (0,0)",
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"timestamp": "01/28/2023 12:23:17",
"content": "yeah",
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"timestamp": "01/28/2023 12:23:39",
"content": "ohh ok",
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"timestamp": "01/28/2023 12:23:41",
"content": "sorry",
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"timestamp": "01/28/2023 12:23:59",
"content": "so now i got y=4a+2",
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"timestamp": "01/28/2023 12:24:02",
"content": "what now?",
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"timestamp": "01/28/2023 12:24:09",
"content": "answer this",
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"timestamp": "01/28/2023 12:24:42",
"content": "4a+2?",
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"timestamp": "01/28/2023 12:24:49",
"content": "or (0,0)",
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"content": "prolly 4a+2",
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"timestamp": "01/28/2023 12:25:31",
"content": "I want the answer as a number",
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"timestamp": "01/28/2023 12:25:57",
"content": "6a",
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"timestamp": "01/28/2023 12:26:01",
"content": "no",
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"content": "thats not a number",
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"timestamp": "01/28/2023 12:27:00",
"content": "help",
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"timestamp": "01/28/2023 12:27:01",
"content": "idk",
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"timestamp": "01/28/2023 12:27:14",
"content": "it crosses (0,0)",
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"timestamp": "01/28/2023 12:27:20",
"content": "so f(0)=0",
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"timestamp": "01/28/2023 12:27:21",
"content": "so its 0?",
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"id": 1068945404416233600,
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"timestamp": "01/28/2023 12:27:24",
"content": "oh",
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"timestamp": "01/28/2023 12:27:25",
"content": "yep",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:27:38",
"content": "can you set up an equation now?",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:27:42",
"content": "so then why did i need to do this calculation then?",
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"id": 1068945554782036000,
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"timestamp": "01/28/2023 12:28:00",
"content": "earlier you got f(0)=4a+2",
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"timestamp": "01/28/2023 12:28:05",
"content": "yup",
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"timestamp": "01/28/2023 12:28:06",
"content": "but f(0) is also 0",
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"timestamp": "01/28/2023 12:28:14",
"content": "can you set up an equation for a?",
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"timestamp": "01/28/2023 12:28:22",
"content": "so a =-2",
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"content": "-2",
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"id": 1068945676127457400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:28:29",
"content": "why?",
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"id": 1068945698357264500,
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"timestamp": "01/28/2023 12:28:34",
"content": "how did you get that?",
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"timestamp": "01/28/2023 12:28:45",
"content": "common snece i guess",
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"id": 1068945776362913900,
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"timestamp": "01/28/2023 12:28:53",
"content": "you're wrong tho",
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"id": 1068945813339902100,
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"timestamp": "01/28/2023 12:29:01",
"content": "...",
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"id": 1068945828875599900,
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"timestamp": "01/28/2023 12:29:05",
"content": "f(0)=4a+2=0",
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"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:29:11",
"content": "does this make sense?",
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"timestamp": "01/28/2023 12:29:19",
"content": "yes",
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"id": 1068945989991399400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:29:44",
"content": "so what is the value of a?",
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"id": 1068946222892716000,
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"timestamp": "01/28/2023 12:30:39",
"content": "-0.5",
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"id": 1068946246875750400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:30:45",
"content": "good",
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"id": 1068946252013764700,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:30:46",
"content": "finally",
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"id": 1068946281327755400,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:30:53",
"content": "i switched the 2 over to the other side",
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"author_id": 1066023854830518300,
"author_name": "Frozen City.",
"timestamp": "01/28/2023 12:30:56",
"content": "what is the value of k",
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"timestamp": "01/28/2023 12:30:59",
"content": "over 4 on both sides",
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"content": "2",
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"timestamp": "01/28/2023 12:31:04",
"content": "good good",
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"id": 1068946449041207600,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:31:33",
"content": "now using this, what would f(x) be in vertex form?",
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"timestamp": "01/28/2023 12:32:20",
"content": "y",
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"timestamp": "01/28/2023 12:32:40",
"content": "i think",
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"timestamp": "01/28/2023 12:32:49",
"content": ":monkey:",
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"timestamp": "01/28/2023 12:33:07",
"content": "idk bro",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:33:35",
"content": "@Helpers",
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"content": ":pensivebread:",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:34:11",
"content": "i just listned to an hour of resonance slowed and reverbed wtf is wrong w me",
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"timestamp": "01/28/2023 12:34:12",
"content": "Hmm",
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"timestamp": "01/28/2023 12:34:36",
"content": "Are we still in this question",
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"content": "yup",
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"timestamp": "01/28/2023 12:35:56",
"content": "@-sleepy- what are the roots of that graph",
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"timestamp": "01/28/2023 12:36:07",
"content": "I mean what are the x values where y=0",
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"timestamp": "01/28/2023 12:36:28",
"content": "0,0 and 0,4",
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"timestamp": "01/28/2023 12:37:58",
"content": "Yes",
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"timestamp": "01/28/2023 12:38:20",
"content": "Do you know how to construct a function with the roots 0 and 4",
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"timestamp": "01/28/2023 12:38:58",
"content": "not really",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:39:01",
"content": "i dont know anything bro",
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"content": "im learning as we go",
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"timestamp": "01/28/2023 12:39:20",
"content": "cant understand shit from my teacher",
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"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:39:25",
"content": "use this as reference",
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"timestamp": "01/28/2023 12:39:28",
"content": "yall explain it too well",
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"id": 1068948500504649700,
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"timestamp": "01/28/2023 12:39:42",
"content": "ooh",
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"id": 1068948503537135700,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:39:43",
"content": "ok",
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"id": 1068948514974990500,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:39:46",
"content": "lemme try",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:39:54",
"content": "im doing all of this on a napkin btw",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:41:04",
"content": "so a (0-0)(0+4)?",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:41:16",
"content": "wait no i have to flip the signs?",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:41:44",
"content": "so a(0)(0-4)",
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"id": 1068949032313045100,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:41:49",
"content": "rightr?",
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"id": 1068949259002593300,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:42:43",
"content": "and y is also 0",
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"timestamp": "01/28/2023 12:42:47",
"content": ":what:",
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"timestamp": "01/28/2023 12:43:06",
"content": ":KannaKms:",
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"id": 1068949493560651800,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:43:39",
"content": "what do i do then?",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:43:58",
"content": "i told you when it comes to math i have no common sense",
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"timestamp": "01/28/2023 12:44:02",
"content": ":blobcry:",
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"timestamp": "01/28/2023 12:44:19",
"content": "fr",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:44:24",
"content": "the only things you want to change here are p and q",
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"timestamp": "01/28/2023 12:44:31",
"content": "ok",
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"id": 1068949714080370700,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:44:31",
"content": "the x stays the same",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:44:40",
"content": "im so fucking dumb holy shit",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:45:21",
"content": "so a(x+0)(x-4)?",
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"author_id": 699616980042252300,
"author_name": "FATİH",
"timestamp": "01/28/2023 12:45:23",
"content": "No you are not it is ok",
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"timestamp": "01/28/2023 12:45:42",
"content": "you got this right, so definitely not dumb",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:45:57",
"content": "dont we do this when we want the graph?",
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"timestamp": "01/28/2023 12:46:02",
"content": "not the equation?",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:46:21",
"content": "we can also do this to find the equationi using the graph",
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"timestamp": "01/28/2023 12:46:40",
"content": "i see",
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"id": 1068950282207236200,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:46:47",
"content": "now all you need to do is find 'a' to find the equation of the function",
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"timestamp": "01/28/2023 12:47:05",
"content": "we know a",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:47:10",
"content": "isnt it -0.5",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:47:30",
"content": "or do u mean b?",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:47:34",
"content": "we didnt find b",
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"id": 1068950500030038000,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:47:39",
"content": "yes, you found that out earlier",
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"timestamp": "01/28/2023 12:47:46",
"content": "there's no b anywhere",
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"id": 1068950544112173200,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:47:49",
"content": "we",
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"timestamp": "01/28/2023 12:47:57",
"content": "yes, we",
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"id": 1068950642380509200,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:48:13",
"content": "y=ax^2+bx+c",
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"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:48:14",
"content": "what would the equation be if you subb in a=-0.5",
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"timestamp": "01/28/2023 12:48:17",
"content": "we need b",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:48:23",
"content": "not now buddy",
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"timestamp": "01/28/2023 12:48:27",
"content": "oh ok",
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"id": 1068950724916019300,
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"timestamp": "01/28/2023 12:48:32",
"content": "this first",
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"id": 1068950793971052500,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:48:49",
"content": "-0.5(x+0)(x-4)",
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"id": 1068950825587724400,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:48:56",
"content": "so we distribute?",
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"id": 1068950835532406900,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:48:59",
"content": "oh shit",
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"id": 1068950839391174800,
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"timestamp": "01/28/2023 12:49:00",
"content": "ok",
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"id": 1068950881644585200,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:49:10",
"content": "where did the minus go :'(",
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"id": 1068951033960739100,
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"timestamp": "01/28/2023 12:49:46",
"content": "idk what ur talking about",
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"id": 1068951105603637400,
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"timestamp": "01/28/2023 12:50:03",
"content": "oh you edited it",
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"id": 1068951110653583400,
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"timestamp": "01/28/2023 12:50:04",
"content": "good",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:50:19",
"content": "now you just need to expand this",
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"timestamp": "01/28/2023 12:50:26",
"content": "do you know how to expand?",
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"id": 1068951252332986400,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:50:38",
"content": "not really",
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"id": 1068951379575570600,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:51:09",
"content": "i got to (-0.5x+0)(0.5x+2)",
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"id": 1068951424496586900,
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"author_name": "jay.",
"timestamp": "01/28/2023 12:51:19",
"content": "well first of all, you can change -0.5(x+0)(x-4) into -0.5x(x-4), right?",
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"timestamp": "01/28/2023 12:51:22",
"content": "nope",
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"timestamp": "01/28/2023 12:51:39",
"content": "so-0.5x^2+2",
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"id": 1068951524606226400,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:51:43",
"content": "right?",
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"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:51:53",
"content": "you keep forgetting the minus",
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"id": 1068951709956718600,
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"timestamp": "01/28/2023 12:52:27",
"content": "good",
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"id": 1068951725135896700,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:52:31",
"content": "i dont forget it when writing though",
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"id": 1068951760862990300,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:52:39",
"content": "so now we find b?",
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"id": 1068951804546658400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:52:50",
"content": "you already have the answer",
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"id": 1068951815787389000,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:52:53",
"content": "wait",
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"id": 1068951825161662500,
"author_id": 470643117318602750,
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"timestamp": "01/28/2023 12:52:55",
"content": "OH SHIT",
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"id": 1068951830052212700,
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:52:56",
"content": "WTF",
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"id": 1068951889934307300,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:53:10",
"content": "oh wait",
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"timestamp": "01/28/2023 12:53:15",
"content": "this is wrong",
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"timestamp": "01/28/2023 12:53:23",
"content": "0.5X^2+2X+0?",
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"timestamp": "01/28/2023 12:53:41",
"content": "oh",
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"timestamp": "01/28/2023 12:53:42",
"content": "YES except you forgot the minus again",
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"timestamp": "01/28/2023 12:53:47",
"content": "idk what that means",
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"timestamp": "01/28/2023 12:54:11",
"content": "im very dumb",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:54:25",
"content": "read chat and u will understand i think",
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"timestamp": "01/28/2023 12:54:50",
"content": "well anyways",
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"timestamp": "01/28/2023 12:55:06",
"content": "how is it wrong though?",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:55:09",
"content": "how fix?",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:55:11",
"content": "can you write the equation?",
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"timestamp": "01/28/2023 12:55:17",
"content": "i did",
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"timestamp": "01/28/2023 12:55:23",
"content": ".",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:55:30",
"content": "oh I was talking about -0.5x^2+2",
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"timestamp": "01/28/2023 12:55:52",
"content": "so b isnt 2?",
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"timestamp": "01/28/2023 12:55:54",
"content": "you forgot the minus again, so it's -0..5x^2+2x",
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"timestamp": "01/28/2023 12:55:58",
"content": "oh",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:56:12",
"content": "oh btw i had the values all along",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:56:21",
"content": "i just needed the steps for the assignment",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:56:26",
"content": "i didnt know how to calculate",
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"id": 1068952727658447000,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:56:30",
"content": "thank you so much",
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"id": 1068952753361146000,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:56:36",
"content": "you got it write, but when you write the equation of a function, you have to write it in y=ax^2+bx+c form",
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"timestamp": "01/28/2023 12:56:47",
"content": "yeah",
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"author_name": "jay.",
"timestamp": "01/28/2023 12:56:53",
"content": "so your answer would be \ny=-0..5x^2+2x",
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"timestamp": "01/28/2023 12:57:11",
"content": "oh lmao",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:57:35",
"content": "i needed the steps",
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"id": 1068953069158670300,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:57:51",
"content": "and now i actually understand how to get the equation from graph",
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"id": 1068953093724700800,
"author_id": 806790920770814000,
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"timestamp": "01/28/2023 12:57:57",
"content": "good :)",
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"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:58:03",
"content": "thank you",
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},
{
"id": 1068953127912484900,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:58:05",
"content": "so much",
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"id": 1068953132790452400,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/28/2023 12:58:07",
"content": "np :)",
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"author_name": "-sleepy-",
"timestamp": "01/28/2023 12:58:29",
"content": ".close",
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"id": 1068953228022128800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 12:58:29",
"content": "Channel closed",
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] | help-9 | 4abcda09dd1d4b6c8e9978b5830118bb |
201,106 | [
{
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"timestamp": "01/28/2023 12:59:29",
"content": "Available help channel!",
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"id": 1068954378872037500,
"author_id": 623596545782186000,
"author_name": "lain221",
"timestamp": "01/28/2023 13:03:04",
"content": "I originally thought that the augmented matrix in this example was already in the most simplified form. What step was taken to further reduce it to the final rref?",
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"content": "Pinned a message.",
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"id": 1068955036991897700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/28/2023 13:05:41",
"content": "well multiplied the second row by -1",
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"id": 1068955075231363100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/28/2023 13:05:50",
"content": "and then added it twice to the first row to get rid of the -2",
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"id": 1068955357554147500,
"author_id": 623596545782186000,
"author_name": "lain221",
"timestamp": "01/28/2023 13:06:57",
"content": "Why do you have to get rid of the -2 in the augmented matrix?",
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"id": 1068955451598848100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/28/2023 13:07:19",
"content": "that's how the rref is defined",
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"id": 1068955493646729200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/28/2023 13:07:29",
"content": "everything above and below the pivots has to be 0",
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"author_name": "lain221",
"timestamp": "01/28/2023 13:07:42",
"content": "Ok, thank you.",
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"id": 1068955607324954600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/28/2023 13:07:57",
"content": "otherwise the rref wouldnt be unique",
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"timestamp": "01/28/2023 13:08:43",
"content": "I guess I didn't realize that had to be true of the right-most column",
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"id": 1068956157240152200,
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 6c3ab2c3c7f74eb58a01210b92a9fd2e |
201,107 | [
{
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"content": "Available help channel!",
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"id": 1068961236433256400,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:30:19",
"content": "How do I find the Antiderivative?",
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},
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"id": 1068961241013440600,
"author_id": 805217272087838700,
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"timestamp": "01/28/2023 13:30:20",
"content": "Pinned a message.",
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"author_name": "GarlicBredFries",
"timestamp": "01/28/2023 13:31:20",
"content": "Hmm",
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{
"id": 1068961598510739600,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "01/28/2023 13:31:45",
"content": "Maybe a trig substitution?",
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"id": 1068961673278406800,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:32:03",
"content": "the book says it isnt possible?",
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},
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"id": 1068961690839957600,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:32:07",
"content": "and im not sure why",
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},
{
"id": 1068961748251594800,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:32:21",
"content": "is that true?",
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},
{
"id": 1068961812499931100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "01/28/2023 13:32:36",
"content": ",w int sqrt(x^4 + 1) dx",
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},
{
"id": 1068961834830413800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 13:32:41",
"content": "Results provided by WolframAlpha",
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"id": 1068961869806702700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/28/2023 13:32:50",
"content": "Oh no",
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{
"id": 1068961964371480700,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:33:12",
"content": "yeah, ive never done anything that complicated before, I dont think it wants me to be able to solve it",
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"id": 1068961967273943200,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "01/28/2023 13:33:13",
"content": "Not all functions have a *natural* antiderivative",
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"id": 1068961994612416600,
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"timestamp": "01/28/2023 13:33:19",
"content": "ah ok",
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"id": 1068962080750837800,
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"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:33:40",
"content": "alright, im just gonna say it cant be done then",
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"id": 1068962093337948300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "01/28/2023 13:33:43",
"content": "The most famous one is probably e^(-x^2)",
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"id": 1068962202977054800,
"author_id": 583126818111094800,
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"timestamp": "01/28/2023 13:34:09",
"content": "ok",
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},
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"id": 1068962206596743200,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:34:10",
"content": "thanks",
"attachments": [],
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},
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"id": 1068962214935015400,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "01/28/2023 13:34:12",
"content": ".close",
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},
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"id": 1068962217938133100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 13:34:13",
"content": "Channel closed",
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}
] | help-9 | 5429a14963e642dda79349e8753cfa2b |
201,108 | [
{
"id": 1068963766005403800,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 13:40:22",
"content": "Available help channel!",
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},
{
"id": 1068964750265962600,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:44:16",
"content": "Hi",
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},
{
"id": 1068964752409231400,
"author_id": 805217272087838700,
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"timestamp": "01/28/2023 13:44:17",
"content": "Pinned a message.",
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"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:44:36",
"content": "x^3 - 25x",
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},
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"id": 1068964863726063700,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:44:43",
"content": "Factoring",
"attachments": [],
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},
{
"id": 1068964970332688500,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "01/28/2023 13:45:09",
"content": "What have you tried?",
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},
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"id": 1068965820778152100,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:48:32",
"content": "Nothing",
"attachments": [],
"mentions": [],
"reference": null
},
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"id": 1068965837962223700,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:48:36",
"content": "I’m confused",
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"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:49:03",
"content": "It’s supposed to be a difference of squares question I think",
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"id": 1068966185594536000,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:49:59",
"content": "I don’t know",
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},
{
"id": 1068966316351946900,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "01/28/2023 13:50:30",
"content": "Note that x^3 and 25x both have an x. So you can factor it out",
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"id": 1068966436518760400,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:50:58",
"content": "Yeah",
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},
{
"id": 1068966501727621100,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:51:14",
"content": "Ohhhhh",
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"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:51:21",
"content": "I think I get it now",
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"id": 1068966695886147600,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:52:00",
"content": "x[x^2 (5)^2]",
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"id": 1068966756858724500,
"author_id": 787909575184482300,
"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:52:15",
"content": "I can use différence of square now",
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"timestamp": "01/28/2023 13:52:24",
"content": "Tyyy",
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"author_name": "YellowCrafted",
"timestamp": "01/28/2023 13:52:27",
"content": ".close",
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},
{
"id": 1068966809199448300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 13:52:27",
"content": "Channel closed",
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}
] | help-9 | 940155a735a04099acc026da3ab15cfa |
201,109 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 13:54:20",
"content": "Available help channel!",
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},
{
"id": 1068968564813484200,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 13:59:26",
"content": "3.1, 4.7, 6.4, 8.2, 10.1",
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},
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"id": 1068968567044845700,
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"timestamp": "01/28/2023 13:59:26",
"content": "Pinned a message.",
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"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 13:59:33",
"content": "can someone help me find the sequence",
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},
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"author_name": "imean_itsek",
"timestamp": "01/28/2023 13:59:37",
"content": "i need it quick",
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},
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"id": 1068968665506123800,
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"author_name": "deud man",
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"timestamp": "01/28/2023 13:59:54",
"content": "+1.5 + 1.6 + 1.8 + 1.9 + 2 ...",
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"author_name": "deud man",
"timestamp": "01/28/2023 14:00:04",
"content": "can someone try this one",
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},
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"id": 1068968733546135700,
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"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:00:06",
"content": "12?",
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},
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"id": 1068968759286579300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:00:12",
"content": "12.1",
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"id": 1068968808934543400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:00:24",
"content": "#❓how-to-get-help",
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"id": 1068968862781030400,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:00:37",
"content": "what about",
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},
{
"id": 1068968866350379100,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:00:38",
"content": "−Minus50, −Minus47, −Minus41, −Minus32, −Minus20",
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},
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"id": 1068969006482075800,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:01:11",
"content": "@Helpers",
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},
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"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:01:17",
"content": "@heavy",
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},
{
"id": 1068969091957797000,
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"author_name": "heavy",
"timestamp": "01/28/2023 14:01:32",
"content": "-50 + 0",
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},
{
"id": 1068969113986277400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:01:37",
"content": "-50 + 3",
"attachments": [],
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},
{
"id": 1068969131291967500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:01:41",
"content": "-50 + 9",
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},
{
"id": 1068969156357144700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:01:47",
"content": "-50 + 18",
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},
{
"id": 1068969166054379500,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:01:49",
"content": "-7",
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"reference": null
},
{
"id": 1068969170340946000,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:01:50",
"content": "?",
"attachments": [],
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},
{
"id": 1068969176330416100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:01:52",
"content": "-50 + 30",
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},
{
"id": 1068969250003370100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:02:09",
"content": "-50 + 45",
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},
{
"id": 1068969260652695700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:02:12",
"content": "would be my guss",
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},
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"id": 1068969265513910300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/28/2023 14:02:13",
"content": "-5",
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},
{
"id": 1068969426910720100,
"author_id": 889863413822550000,
"author_name": "imean_itsek",
"timestamp": "01/28/2023 14:02:51",
"content": "thank u cheers g'",
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},
{
"id": 1068973202673504400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 14:17:52",
"content": "@imean_itsek Has your question been resolved?",
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"id": 1068976984224444500,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 14:32:53",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | edad1cfd49f14a2eb93475beec63222b |
201,110 | [
{
"id": 1036642205399515100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 10:06:01",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1036643892323438600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "10/31/2022 10:12:43",
"content": "The shapes in a jigsaw set can be divided into the five types shown in the diagram. The set contains 100 pieces of each type of shape. Which of these types should you be sure to use when you are building a rectangle.",
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},
{
"id": 1036643894328303700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 10:12:44",
"content": "Pinned a message.",
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"timestamp": "10/31/2022 10:14:04",
"content": "its A C and E right?",
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},
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"timestamp": "10/31/2022 10:29:04",
"content": "@DanielCsocsik Has your question been resolved?",
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"author_name": "DanielCsocsik",
"timestamp": "10/31/2022 10:30:20",
"content": "yea or nae",
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},
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"id": 1036649671302578300,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "10/31/2022 10:35:41",
"content": "guess its yae",
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},
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"id": 1036649679129149600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "10/31/2022 10:35:43",
"content": ".close",
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},
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"id": 1036649682123882500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 10:35:44",
"content": "Channel closed",
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}
] | help-9 | 5f26196e30b34dfd8199dab164301c39 |
201,111 | [
{
"id": 1068977235991724000,
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"content": "Available help channel!",
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},
{
"id": 1068977660212023400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "01/28/2023 14:35:34",
"content": "can someone explain to me how I get this using the formula ax^2+bx+c",
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},
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"id": 1068977662191734900,
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"content": "Pinned a message.",
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"id": 1068978997280649300,
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"timestamp": "01/28/2023 14:40:53",
"content": "completing the square",
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"timestamp": "01/28/2023 14:51:20",
"content": "@ayoubie Has your question been resolved?",
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"timestamp": "01/28/2023 15:06:20",
"content": "Channel closed",
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}
] | help-9 | e174df2c0fee483eafef628d28146411 |
201,112 | [
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"content": "Available help channel!",
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},
{
"id": 1068986418153656300,
"author_id": 389038912892567550,
"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:10:22",
"content": "#help-9 need help calculating a limit",
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"content": "Pinned a message.",
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"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:11:21",
"content": "I got the answer 1 but I am not quite sure",
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"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:14:28",
"content": "I was told we need to use lhopitals rule",
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},
{
"id": 1068987556865249300,
"author_id": 389038912892567550,
"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:14:54",
"content": "I tried a different method and got 0",
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"id": 1068987940757311600,
"author_id": 389038912892567550,
"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:16:25",
"content": "?",
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},
{
"id": 1068988049784049800,
"author_id": 389038912892567550,
"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:16:51",
"content": "tbh the method that got me 0 seems more trust worthy although I did not use lhopitals rule there",
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},
{
"id": 1068988245267972200,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/28/2023 15:17:38",
"content": ",w graph (3x+2x^2)^(6x)",
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},
{
"id": 1068988255397224700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 15:17:40",
"content": "Results provided by WolframAlpha",
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},
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"id": 1068988310405513300,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "01/28/2023 15:17:54",
"content": "Show work",
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"author_name": "idontsleepanymore",
"timestamp": "01/28/2023 15:18:45",
"content": "Im going to guess u took ln and got 0, but u forgot to do ln(L)=0\nL= e^0=1",
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"id": 1068989352585199600,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "01/28/2023 15:22:02",
"content": "nvm taking ln also does need l hopital",
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"timestamp": "01/28/2023 15:22:20",
"content": "so I rewrote the limit as e^lim(x->0+)ln(3x+2x^2)6x and then I used exponent and limit rules to get e^lim(6x) e^lim ln (3x+2x^2) then I used limit rules again and rewrote it as lim(3x+2x^2) and the I just put in 0",
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"content": "I don't get where I am supposed to lhopitals rule though",
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"content": "Do you have this writtem on paper",
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"timestamp": "01/28/2023 15:24:02",
"content": "yeah one sec",
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"content": "this is it",
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"timestamp": "01/28/2023 15:29:52",
"content": "kinda does not seem right here too",
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"timestamp": "01/28/2023 15:31:09",
"content": "wolfram is giving 1 but the other method isnt really great",
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"timestamp": "01/28/2023 15:32:26",
"content": "so idk what to do",
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"timestamp": "01/28/2023 15:32:51",
"content": "u here ?",
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"timestamp": "01/28/2023 15:35:53",
"content": "Im pretty sure this is wrong",
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"timestamp": "01/28/2023 15:36:50",
"content": "That was in the form of - inf. Zero and u cant evaluate 0 seperately like that",
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"timestamp": "01/28/2023 15:36:57",
"content": "Take the 6 outside",
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"author_name": "idontsleepanymore",
"timestamp": "01/28/2023 15:37:19",
"content": "Rewrite the x as dividing the ln term as (1/x)",
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"timestamp": "01/28/2023 15:37:38",
"content": "Then u can apply l hopital",
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"author_name": "idontsleepanymore",
"timestamp": "01/28/2023 15:37:43",
"content": "I have to go to bed now sorry",
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"author_name": "thebruhboozler",
"timestamp": "01/28/2023 15:37:48",
"content": "ok",
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"timestamp": "01/28/2023 15:42:15",
"content": "dont get it",
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"timestamp": "01/28/2023 15:57:15",
"content": "@thebruhboozler Has your question been resolved?",
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] | help-9 | 855a53de9cce478781cb84ec15f2b051 |
201,113 | [
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] | help-9 | 31e91bde46374f5c8717f8666ee6ec9c |
201,114 | [
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"content": "int of f(y) represensts area between f(y) and y axis (just area under f(y))",
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"content": "same with g(y)",
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"content": "but if area is on the left (aka 2nd quadrant - where x is negative)",
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"content": "wait",
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"content": "how do i get hlp",
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"content": "on ym question",
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"content": "it not letting me type in help channe",
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"content": "then int of g(y) dy gives result with negative sign",
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"content": "this is why f(y) - g(y) would give **sum**",
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] | help-9 | 0486ae189d50453b908fe0d480304c09 |
201,115 | [
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"content": "i need help with this question",
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"content": "Power rule",
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"content": "I tried but it's wrong",
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"content": "@nilarahman_",
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"content": "I got this answer but it's wrong",
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"content": "What's with the 1/u",
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"content": "No no no that's not even power rule",
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"content": ",tex \\dxpowerrule",
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"timestamp": "01/28/2023 18:17:32",
"content": "**Umbraleviathan**",
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"timestamp": "01/28/2023 18:19:13",
"content": "did you cancel out the d's D:",
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"content": "No",
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"content": "This is power rule",
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"timestamp": "01/28/2023 18:20:26",
"content": "The 1/u thing",
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"timestamp": "01/28/2023 18:20:36",
"content": "Oh you know what I see what you're trying to do",
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"author_name": "Umbraleviathan",
"timestamp": "01/28/2023 18:20:40",
"content": "Instead of doing that",
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"content": "Just do this",
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"timestamp": "01/28/2023 18:21:02",
"content": "Ok let me try",
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"timestamp": "01/28/2023 18:24:20",
"content": "Ok I got it right now",
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"content": "You done with the channel?",
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"content": "What channel?",
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"timestamp": "01/28/2023 18:27:35",
"content": "This one",
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"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:27:44",
"content": "is this question also with the power rule?",
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"timestamp": "01/28/2023 18:27:48",
"content": "That's power rule and reciprocal rule",
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"timestamp": "01/28/2023 18:28:33",
"content": ",tex \\dxreciprule",
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"timestamp": "01/28/2023 18:28:36",
"content": "**Umbraleviathan**",
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"id": 1069036436092879000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/28/2023 18:29:08",
"content": "If you want, since it's a polynomial equation in the denominator you can also rewrite the second term as 7/8 x^(-3) and use power rule",
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"id": 1069036741601788000,
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"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:30:20",
"content": "Ok let me see",
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},
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"id": 1069038806545743900,
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"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:38:33",
"content": "ok i got it",
"attachments": [],
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},
{
"id": 1069038895037161500,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:38:54",
"content": "i need help with another question",
"attachments": [],
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},
{
"id": 1069039065091018800,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:39:34",
"content": "",
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"id": 1069039773366366200,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:42:23",
"content": "well your current equation is in position and the first derivative is to find the velocity at a certain time.",
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},
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"id": 1069039815649132500,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:42:33",
"content": "can you derive the equation?",
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},
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"id": 1069040201843880100,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:44:05",
"content": "no",
"attachments": [],
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},
{
"id": 1069040652664459300,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:45:53",
"content": "assume that x in written as x^1. when derived, the exponent becomes a coefficient and is placed in front of the variable, then, you subtract the exponent by 1.",
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},
{
"id": 1069040748621729800,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:46:16",
"content": "in this case, y'=65 - 26x",
"attachments": [],
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},
{
"id": 1069040960094355600,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:47:06",
"content": "the first derivate of an equation, the y value is the slope, meaning the the rate of change of the value at x",
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},
{
"id": 1069042469645340700,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:53:06",
"content": "ok",
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},
{
"id": 1069042523122704400,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:53:19",
"content": "think of it like this",
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},
{
"id": 1069042730367459500,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:54:08",
"content": "(a^n)' = na^(n-1)\n^ is to the power of\n' is the prime symbol, indicating the derivative of said function",
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"reference": null
},
{
"id": 1069042848697155600,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 18:54:36",
"content": "if a number is derived, it becomes a zero",
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"reference": null
},
{
"id": 1069043086669381600,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 18:55:33",
"content": "ok ill try",
"attachments": [],
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},
{
"id": 1069044320402931800,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 19:00:27",
"content": "done?",
"attachments": [],
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},
{
"id": 1069044707696590800,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 19:02:00",
"content": "not yet",
"attachments": [],
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"reference": null
},
{
"id": 1069045801269088300,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 19:06:20",
"content": "what do you need?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069046010057330700,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "01/28/2023 19:07:10",
"content": "ok im done",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069046091019993200,
"author_id": 622563893256126500,
"author_name": "Jackadman",
"timestamp": "01/28/2023 19:07:30",
"content": "then do the bot command",
"attachments": [],
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"reference": null
},
{
"id": 1069049785920794600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 19:22:10",
"content": "@nilarahman_ Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 19:37:11",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 230720ab80474cb7997a3b6e0e27403b |
201,116 | [
{
"id": 1069072437284712600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 20:52:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1069074531332919400,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:00:30",
"content": "Anyone know what's up with this, I get Tan(Ø) = -sqrt(7)/sqrt(18) which is incorrect 🤔",
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"id": 1069074533954363400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:00:31",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1069074620281532500,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 21:00:51",
"content": "!status",
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"reference": null
},
{
"id": 1069074621434953900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:00:52",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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{
"id": 1069074642758799400,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 21:00:57",
"content": "and show your work",
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"reference": null
},
{
"id": 1069074697431556200,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 21:01:10",
"content": "(ok the status was meaningless its 3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069075115645620400,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:02:50",
"content": "Here's my work I used c^2 - b^2 = a^2 to find the adjacent",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069075115427512340/20230128_180156.jpg",
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"id": 1069075243307642900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/28/2023 21:03:20",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069075247401291900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 21:03:21",
"content": "",
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"fileName": "485903210272391178.png",
"fileSizeBytes": 619955
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},
{
"id": 1069075777435476100,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 21:05:27",
"content": "what's the correct answer btw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069076004833865700,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:06:22",
"content": "",
"attachments": [
{
"id": 1069076004523479000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069076004523479070/20230128_180555.jpg",
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{
"id": 1069076238083309600,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:07:17",
"content": "-> sqrt(18)/sqrt(7)",
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},
{
"id": 1069076652870602800,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/28/2023 21:08:56",
"content": "what on earth",
"attachments": [],
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"reference": null
},
{
"id": 1069076842230861800,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:09:41",
"content": "Is it wrong?",
"attachments": [],
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"reference": null
},
{
"id": 1069077005586407600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/28/2023 21:10:20",
"content": "So two things, either that key is wrong or your teacher meant to say find cot",
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},
{
"id": 1069077138680070300,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:10:52",
"content": "I see thanks guys 😄",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069077249543909500,
"author_id": 353670367052693500,
"author_name": "Jamie Spencer",
"timestamp": "01/28/2023 21:11:18",
"content": ".close",
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"reference": null
},
{
"id": 1069077252442161200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:11:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | df7bd1e5c4e34432a5fd15ee5d4e9cde |
201,117 | [
{
"id": 1069077505148977300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:12:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069079006151966700,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/28/2023 21:18:17",
"content": "",
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"id": 1069079009901674500,
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:18:18",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/28/2023 21:18:24",
"content": "i really need help with this problem",
"attachments": [],
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"reference": null
},
{
"id": 1069079059558047700,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/28/2023 21:18:30",
"content": "I dont understand this at all",
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"reference": null
},
{
"id": 1069082766840443000,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/28/2023 21:33:14",
"content": "@Helpers",
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"reference": null
},
{
"id": 1069086542896844900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 21:48:14",
"content": "@B0LD Has your question been resolved?",
"attachments": [],
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{
"id": 1069086721662275600,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:48:57",
"content": "maybe the number of floods in a year is poisson distributed",
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},
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"id": 1069086962289479700,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:49:54",
"content": "oh maybe not",
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"id": 1069086968589320300,
"author_id": 265871382410166300,
"author_name": "Jeeves",
"timestamp": "01/28/2023 21:49:55",
"content": "I think it's just a bad question",
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},
{
"id": 1069087073937666200,
"author_id": 265871382410166300,
"author_name": "Jeeves",
"timestamp": "01/28/2023 21:50:21",
"content": "the context was implemented incorrectly probably",
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},
{
"id": 1069087119533949000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:50:31",
"content": "maybe 0.2 is the probabilty of exactly one flood of magnitude A during a year",
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{
"id": 1069087314401317000,
"author_id": 265871382410166300,
"author_name": "Jeeves",
"timestamp": "01/28/2023 21:51:18",
"content": "most likely as it results in the simplest question",
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"id": 1069087442491146200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:51:48",
"content": "pr(at least one of the two years have exactly one flood of magnitude A) = (0.2)*(1-0.2)\\*2",
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"id": 1069087453618643000,
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"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:51:51",
"content": "yeah",
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"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:52:15",
"content": "oh but 1-0.2 is probability of not exactly one flood",
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"id": 1069087613983658100,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:52:29",
"content": "so probability of zero floods, 2 floods, etc",
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"id": 1069087635731120100,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 21:52:35",
"content": "idk lol",
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"id": 1069090319540424700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 22:03:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 9906534ab737449e8abdcd8225525399 |
201,118 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/28/2023 22:21:37",
"content": "Available help channel!",
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},
{
"id": 1069095586428616800,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:24:10",
"content": "",
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"timestamp": "01/28/2023 22:24:11",
"content": "Pinned a message.",
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"id": 1069095733950693500,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:24:45",
"content": "i found the perimter of $sqrt(90)$",
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},
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"id": 1069095815030780000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/28/2023 22:25:05",
"content": "**Harp**",
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"id": 1069095950037033000,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:25:37",
"content": "idk how to put it in terms of a *sqrt of 2 + b * sqrt of 5",
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},
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"id": 1069096175598305300,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/28/2023 22:26:31",
"content": "r u sure the perimeter is this?",
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"content": "sqrt 90",
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"timestamp": "01/28/2023 22:26:47",
"content": "96*",
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"timestamp": "01/28/2023 22:27:23",
"content": "idt that is correct",
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"timestamp": "01/28/2023 22:27:36",
"content": "what is the length of AB",
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"timestamp": "01/28/2023 22:27:43",
"content": "sqrt (20)",
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"timestamp": "01/28/2023 22:27:48",
"content": "length of BC?",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:27:53",
"content": "sqrt (18)",
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"author_name": "SilverSoldier",
"timestamp": "01/28/2023 22:28:08",
"content": "okay the other lengths?",
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"timestamp": "01/28/2023 22:28:26",
"content": "CD = sqrt (8) and DA = sqrt (50)",
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"timestamp": "01/28/2023 22:28:44",
"content": "okay and the perimeter is then sqrt20 + sqrt18 + sqrt8 + sqrt50",
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"timestamp": "01/28/2023 22:28:51",
"content": "yup",
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"timestamp": "01/28/2023 22:28:53",
"content": "u cant just add the stuff inside the square roots",
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"timestamp": "01/28/2023 22:29:11",
"content": "this is not equal to sqrt(20+18+8+50)",
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"timestamp": "01/28/2023 22:29:17",
"content": "ah",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:29:21",
"content": "so do i simplify?",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:29:27",
"content": "the square roots",
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"timestamp": "01/28/2023 22:29:28",
"content": "?",
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"author_name": "SilverSoldier",
"timestamp": "01/28/2023 22:29:33",
"content": "try to express these numbers as multiples of 2 and 5",
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"timestamp": "01/28/2023 22:29:36",
"content": "and simplify",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:29:42",
"content": "ohh ok one sec",
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"timestamp": "01/28/2023 22:32:31",
"content": "so i got 2 sqrt5 + 3 sqrt2 + 2 sqrt2 + 5sqrt2",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:32:45",
"content": "now do i combine like terms to find my answer?",
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"id": 1069097856750846000,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:33:11",
"content": "omg",
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"id": 1069097869308608500,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:33:14",
"content": "thank you!",
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},
{
"id": 1069097882935902200,
"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:33:18",
"content": "i got it right",
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"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:33:21",
"content": "the answer is 12",
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"timestamp": "01/28/2023 22:33:49",
"content": "you got it",
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"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:34:01",
"content": "thank you so much!",
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"timestamp": "01/28/2023 22:34:06",
"content": "@SilverSoldier",
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"timestamp": "01/28/2023 22:34:11",
"content": "sorry for ping",
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"author_id": 778407837012459500,
"author_name": "Nishaanth",
"timestamp": "01/28/2023 22:34:33",
"content": ".close",
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"id": 1069098200763486300,
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"content": "Channel closed",
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] | help-9 | 7074d31ef10548418209055c8ed4e7d1 |
201,119 | [
{
"id": 1069104684255686700,
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"content": "Available help channel!",
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"timestamp": "01/28/2023 23:04:22",
"content": "Hi. I need to prove that this sequence is monotonic, but I don't see that the case base works by induction, or I'm doing something wrong?",
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"timestamp": "01/28/2023 23:12:39",
"content": "!show",
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"content": "Show your work, and if possible, explain where you are stuck.",
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"content": "uh hold on",
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"content": "why have we assumed a to be 1",
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"content": "what's a",
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"author_name": "Pachama",
"timestamp": "01/28/2023 23:18:47",
"content": "That could be the problem. It's says that Let a>1. Consider this recursive sequence",
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"content": ".",
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"author_id": 1066406570340143100,
"author_name": "Pachama",
"timestamp": "01/28/2023 23:20:44",
"content": "So, if n= 1 then a_1 = a and if n>1 then a_2=1",
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"content": "Weird stuff",
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"content": "@Pachama Has your question been resolved?",
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"timestamp": "01/29/2023 00:15:31",
"content": "@Pachama Has your question been resolved?",
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] | help-9 | fa00ddf873cf498dad2b03c17d6a15e0 |
201,120 | [
{
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"content": "Available help channel!",
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"id": 1069134823563743200,
"author_id": 228984275301564400,
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"timestamp": "01/29/2023 01:00:05",
"content": "Would the slope of p(1,1) Q(4,-1/2) equal to",
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"content": "Pinned a message.",
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"id": 1069134837702729900,
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"timestamp": "01/29/2023 01:00:08",
"content": "-1.5/3",
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"timestamp": "01/29/2023 01:00:27",
"content": "nope",
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"id": 1069134932653391900,
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"content": "wait",
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"content": "yes",
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"timestamp": "01/29/2023 01:00:54",
"content": "alright so um",
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"timestamp": "01/29/2023 01:01:34",
"content": "would i plug the slope into the point slope formula",
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"id": 1069135226321772500,
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"timestamp": "01/29/2023 01:01:41",
"content": "to find the equation",
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"content": "uh sure",
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"id": 1069135305308909600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/29/2023 01:02:00",
"content": "(plug in a point of your choice too, doesn't matter which one)",
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"id": 1069135510255173800,
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"timestamp": "01/29/2023 01:02:49",
"content": "got it",
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"id": 1069135539040690200,
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"timestamp": "01/29/2023 01:02:56",
"content": "so something like this should work",
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"timestamp": "01/29/2023 01:03:28",
"content": "yeh and simplify",
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"timestamp": "01/29/2023 01:04:11",
"content": "so like this?",
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"content": "yeh",
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"id": 1069136349204062300,
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"timestamp": "01/29/2023 01:06:09",
"content": "how would I sketch this line",
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"id": 1069136512588980200,
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"timestamp": "01/29/2023 01:06:48",
"content": "nvm",
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"timestamp": "01/29/2023 01:06:50",
"content": "im stupid",
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"id": 1069136528925786100,
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"timestamp": "01/29/2023 01:06:52",
"content": ".close",
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] | help-9 | df2073f08f9b48aa919d59f7522fc2a5 |
201,121 | [
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"author_name": "زنجي اللعب",
"timestamp": "10/31/2022 10:38:58",
"content": "Oh hell nahhhh",
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"timestamp": "10/31/2022 10:38:59",
"content": "Pinned a message.",
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"content": "This is form an exam",
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"timestamp": "10/31/2022 10:40:46",
"content": "from a PAST exam, you mean?",
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"timestamp": "10/31/2022 10:54:12",
"content": "@زنجي اللعب Has your question been resolved?",
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"content": "12 grade PAST exam",
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] | help-9 | 6a9167ba90e84754941ef2e1f7129584 |
201,122 | [
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"id": 1069137354931065000,
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"timestamp": "01/29/2023 01:10:09",
"content": "Available help channel!",
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"author_id": 196556976866459650,
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"content": "do you know what tan theta is",
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"id": 1069138126255169500,
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"content": "in terms of sin and cos",
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"timestamp": "01/29/2023 01:13:30",
"content": "sin theta/ cos theta",
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"content": "ok good",
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"content": "do that",
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"author_name": "DerpZ",
"timestamp": "01/29/2023 01:14:12",
"content": "also cos2x can be expanded with double angle formula",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:15:27",
"content": "what i have now is tan theta + 1 = cos^2 theta - sin^2 theta",
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"content": "there is a mistake",
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"id": 1069141937266892800,
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"author_name": "chewie",
"timestamp": "01/29/2023 01:28:21",
"content": "sin theta + cos theta = (sin theta + cos theta)(sin theta - cos theta)",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:28:41",
"content": "and then sin theta - cos theta = 1",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/29/2023 01:28:45",
"content": "is that right?",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:29:12",
"content": "i haven't figured out tan theta = -1 yet",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:30:55",
"content": "$sin theta + cos theta = (sin theta + cos theta)(sin theta - cos theta)$\nand then $ sin theta - cos theta = 1 $",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:32:12",
"content": "$sin(θ) + cos(θ) = (sin(θ) + cos(θ))(sin(θ)-cos(θ))$",
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"id": 1069142913679892600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/29/2023 01:32:14",
"content": "**chewie**",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:32:47",
"content": "which equals $sin(θ) - cos(θ) = 1$",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/29/2023 01:35:03",
"content": "how does tan(θ) = -1 tho?",
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"author_name": "chewie",
"timestamp": "01/29/2023 01:35:27",
"content": "@Helpers",
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},
{
"id": 1069144067407106000,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/29/2023 01:36:49",
"content": "$sin(θ) + cos(θ) = (cos(θ) + sin(θ))(cos(θ)-sin(θ))$",
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},
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"id": 1069144076441628800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/29/2023 01:36:51",
"content": "**chewie**",
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"timestamp": "01/29/2023 01:37:03",
"content": "which equals $cos(θ) - sin(θ) = 1$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/29/2023 01:37:05",
"content": "**chewie**",
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"timestamp": "01/29/2023 01:37:27",
"content": "@Helpers",
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"timestamp": "01/29/2023 01:37:39",
"content": "I think i've gotten the second part of the question",
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"timestamp": "01/29/2023 01:37:56",
"content": "but not the tanθ = -1 part",
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"timestamp": "01/29/2023 01:52:56",
"content": "@chewie Has your question been resolved?",
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"timestamp": "01/29/2023 01:53:51",
"content": "@FeelingGood do you have any clue",
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"timestamp": "01/29/2023 01:54:35",
"content": "@Helpers",
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"author_id": 844457788100051000,
"author_name": "FeelingGood",
"timestamp": "01/29/2023 01:56:12",
"content": "I got the second one lol",
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"author_id": 844457788100051000,
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"timestamp": "01/29/2023 01:56:22",
"content": "But solving for the first one",
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"timestamp": "01/29/2023 02:04:49",
"content": "Anything wrong?",
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"timestamp": "01/29/2023 02:04:52",
"content": "In steps?",
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"id": 1069151558304010200,
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"author_name": "chewie",
"timestamp": "01/29/2023 02:06:35",
"content": "i can't find any errors tho",
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"timestamp": "01/29/2023 02:06:56",
"content": "Umm.... but still it's wrong According to question",
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"timestamp": "01/29/2023 02:07:00",
"content": "yeah",
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"id": 1069152198195413000,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/29/2023 02:09:07",
"content": "@Helpers pls help",
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},
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"id": 1069152275303505900,
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"timestamp": "01/29/2023 02:09:26",
"content": "",
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"timestamp": "01/29/2023 02:09:48",
"content": "Enough trigonometry, I just differentiated it and got the answer easily",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:09:54",
"content": "yo can someone help",
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"id": 1069152472377082000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 02:10:13",
"content": "we're finding the extrema of this function but how do we know its continuious",
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"timestamp": "01/29/2023 02:10:41",
"content": "Bro actually this server is open, u can make another server....",
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},
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"id": 1069152646637826000,
"author_id": 806105074312282100,
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"timestamp": "01/29/2023 02:10:54",
"content": "how",
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"id": 1069152715088859100,
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"timestamp": "01/29/2023 02:11:11",
"content": "Find server where it says it's closed",
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"timestamp": "01/29/2023 02:11:40",
"content": "Put limit around zero to know if it continues or not",
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"timestamp": "01/29/2023 02:13:20",
"content": "ig that works",
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"timestamp": "01/29/2023 02:13:27",
"content": "thanks for your help",
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"timestamp": "01/29/2023 02:13:31",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 41c1d871e6b347c2981fa05fdd513464 |
201,123 | [
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"timestamp": "01/29/2023 02:13:40",
"content": "👍",
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "Channel closed",
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] | help-9 | 4969c1661ed54135a3650d435735d52b |
201,124 | [
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"content": ".",
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"content": "wait so 2x- 3 '' = -?",
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"timestamp": "01/29/2023 02:18:02",
"content": "LHL and RHL should be equal simple",
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"content": "wait i will show you",
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"content": "do you know what an extrema is",
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"content": "Yepp-.-",
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"content": "i think when we need to find the extrema of a function",
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"content": "we need to know if its continious or not",
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"content": "I checked it, it's continuous everywhere",
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"timestamp": "01/29/2023 02:19:58",
"content": "how do you know",
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"content": "how do you check it",
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"content": "That's what I told",
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"content": "generally because it's not a rational function you can assume it is continuous",
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"content": "what's LHL and RHL again",
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"timestamp": "01/29/2023 02:22:20",
"content": "Left hand limit, right hand limit",
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"timestamp": "01/29/2023 02:22:26",
"content": "can u show me how",
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"timestamp": "01/29/2023 02:22:53",
"content": "Aaahh, it's little long, I don't wanna write it step by step...😭",
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"timestamp": "01/29/2023 02:23:06",
"content": "Lim when x goes to?",
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"timestamp": "01/29/2023 02:23:18",
"content": "0 ^+ and 0^-?",
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"timestamp": "01/29/2023 02:23:31",
"content": "Did This",
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"timestamp": "01/29/2023 02:23:40",
"content": "Exactly!!!!",
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"timestamp": "01/29/2023 02:25:05",
"content": "also to find an extreme",
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"timestamp": "01/29/2023 02:25:13",
"content": "we find the derivative of the function given",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:25:14",
"content": "and then what",
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"timestamp": "01/29/2023 02:25:36",
"content": "Only at one point",
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"timestamp": "01/29/2023 02:25:39",
"content": "X=1",
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"timestamp": "01/29/2023 02:25:56",
"content": "why not -8",
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"content": "extrema are at your CVs",
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"timestamp": "01/29/2023 02:26:16",
"content": "and your CVs are the points at which f'(x) = 0",
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"timestamp": "01/29/2023 02:26:24",
"content": "and it's minima",
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"timestamp": "01/29/2023 02:26:31",
"content": "Available help channel!",
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"content": ".",
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"content": "You got the limit thing?",
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"content": "Pinned a message.",
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"timestamp": "01/29/2023 02:27:26",
"content": "what did u do here, why is it h and what did u do to get zero",
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"timestamp": "01/29/2023 02:27:43",
"content": "Ok let me do it again, nicely",
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"timestamp": "01/29/2023 02:30:12",
"content": "@Olls can u refresh me on what your question about the function is",
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"content": "you want to know if its continuous and why right",
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"timestamp": "01/29/2023 02:30:34",
"content": "on the interval [-8, 1]",
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"timestamp": "01/29/2023 02:31:18",
"content": "and find the CV and the extrema",
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"content": "i think we need to know if its continous or not to find the extrema of a function",
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"content": "yea i dont know what the limit at 0 has to do with this",
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"content": "lol",
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"timestamp": "01/29/2023 02:31:54",
"content": "This is correct and bookish method to be sure",
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"timestamp": "01/29/2023 02:32:19",
"content": "But he's right too",
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"timestamp": "01/29/2023 02:32:52",
"content": "it is the case that all polynomial functions are continuous",
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"timestamp": "01/29/2023 02:33:04",
"content": "yeah ik that polynomial functions are continous",
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"timestamp": "01/29/2023 02:33:10",
"content": "and i think sin and cos is also continous right?",
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"timestamp": "01/29/2023 02:33:21",
"content": "as individual functions yes",
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"content": "I took the limit at zero, coz it's the turning point, it's the root of the x⅔, and that term was only problematic\nThat's why",
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"content": "Yepp",
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"timestamp": "01/29/2023 02:33:54",
"content": "okay now we know that its continous",
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"timestamp": "01/29/2023 02:33:57",
"content": "how do we find the extrema",
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"timestamp": "01/29/2023 02:34:02",
"content": "yk thats the only lesson i dont get at all",
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"timestamp": "01/29/2023 02:34:06",
"content": "😭",
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"content": "Your functions extrema are where the graph is neither increasing or decreasing",
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"timestamp": "01/29/2023 02:34:26",
"content": "which means that the functions derivative will have to be 0 at that point",
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"timestamp": "01/29/2023 02:34:33",
"content": "But |x| ain't continuous and it's turning point is at x=zero",
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"timestamp": "01/29/2023 02:34:44",
"content": "so the point(s) are found when f'(x) = 0",
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"timestamp": "01/29/2023 02:35:02",
"content": "is it always f'(x) = 0",
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"content": "i just dont get the f'(x) = 0 part,",
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"timestamp": "01/29/2023 02:35:23",
"content": "f'(x) = 0 means that the function isnt increasing or decreasing",
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"timestamp": "01/29/2023 02:35:34",
"content": "imagine your normal graph for x^2",
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"content": "sharp edge does not mean not continous",
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"timestamp": "01/29/2023 02:35:50",
"content": "|x| is a continuous function",
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"content": "not differentiable?",
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"content": "yea |x| is not differentiable at 0",
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"timestamp": "01/29/2023 02:36:03",
"content": "but it is continuous",
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"content": "okay look, our teacher gave us an example",
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"content": "[x] is not continuous at integers, so we checks limit there",
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"content": "lol",
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"content": "Correct",
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"content": "like from the top till the end",
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"content": "but from the top only the right one @Zenoxy",
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"content": "oh",
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"timestamp": "01/29/2023 02:40:42",
"content": "well top right is just them factoring 3/4",
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"timestamp": "01/29/2023 02:40:42",
"content": "It saying to put x=1 in the function to get ymax",
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"timestamp": "01/29/2023 02:40:43",
"content": "he took the common factor at the top?",
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"timestamp": "01/29/2023 02:40:45",
"content": "yea",
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"timestamp": "01/29/2023 02:41:02",
"content": "and then he split the function",
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"timestamp": "01/29/2023 02:41:03",
"content": "okay cool the 2nd step?",
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"timestamp": "01/29/2023 02:41:21",
"content": "to find when the numerator = 0",
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"timestamp": "01/29/2023 02:41:28",
"content": "th happened here",
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"content": "yea",
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"timestamp": "01/29/2023 02:42:09",
"content": "what happened here",
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"timestamp": "01/29/2023 02:42:24",
"content": "now hes moving on to try and find out when f'(x) = 0",
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"content": "the critical values will be where f'(x) = 0 or undefined",
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"content": "(i think undefined holds as long as it is defined in f(x))",
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"timestamp": "01/29/2023 02:43:48",
"content": "so that will happen when either the numerator is 0 or the denominator is 0",
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"timestamp": "01/29/2023 02:44:33",
"content": "just this part",
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"content": "how did he get it",
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"timestamp": "01/29/2023 02:44:56",
"content": "oh lol",
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"timestamp": "01/29/2023 02:45:21",
"content": "just rearranged it basically",
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"timestamp": "01/29/2023 02:45:37",
"content": "where did the 1 - go",
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"timestamp": "01/29/2023 02:45:55",
"content": "it joined the 1/x^1/4",
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"timestamp": "01/29/2023 02:46:07",
"content": "it was 1 - 1/x^3/4",
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"timestamp": "01/29/2023 02:47:27",
"content": "abcd rule i think its called",
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"timestamp": "01/29/2023 02:47:56",
"content": "(a/b) + (c/d) = (ad+bc)/bd",
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"timestamp": "01/29/2023 02:48:22",
"content": "oh",
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"timestamp": "01/29/2023 02:51:22",
"content": "ohh",
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"timestamp": "01/29/2023 02:51:23",
"content": "thanks",
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"timestamp": "01/29/2023 02:51:32",
"content": "okay so he took the numerator",
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"timestamp": "01/29/2023 02:51:37",
"content": "and the denominator",
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"timestamp": "01/29/2023 02:51:40",
"content": "and equal them to zero?",
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"timestamp": "01/29/2023 02:52:47",
"content": "yea he only did the numerator",
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"timestamp": "01/29/2023 02:52:54",
"content": "i guess because 0 is on the bound",
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"timestamp": "01/29/2023 02:53:31",
"content": "bound?",
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"timestamp": "01/29/2023 02:53:49",
"content": "is it because its only one variable",
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"timestamp": "01/29/2023 02:53:49",
"content": "i think so right",
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"timestamp": "01/29/2023 02:53:56",
"content": "about the bound ^",
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"timestamp": "01/29/2023 02:54:41",
"content": "where did this come from",
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"timestamp": "01/29/2023 02:55:10",
"content": "he added it himself",
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"timestamp": "01/29/2023 02:55:14",
"content": "to solve for x",
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"timestamp": "01/29/2023 02:55:19",
"content": "cancels with 1/4",
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"timestamp": "01/29/2023 02:55:39",
"content": "so the conclusion is that f'(x) = 0 when x = 1",
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"timestamp": "01/29/2023 02:56:18",
"content": "so it basically means at x=1 its the minimum point or maximum point or what",
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"timestamp": "01/29/2023 02:56:27",
"content": "its a critical value",
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"timestamp": "01/29/2023 02:56:37",
"content": "now u have to figure out if its min/max",
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"timestamp": "01/29/2023 02:56:44",
"content": "thats what the table he made is for",
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"timestamp": "01/29/2023 02:56:59",
"content": "critical value is any point on the line?",
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"timestamp": "01/29/2023 02:57:09",
"content": "critical value is when f'(x) = 0",
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"timestamp": "01/29/2023 02:57:15",
"content": "which u found out is at x = 1",
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"timestamp": "01/29/2023 02:57:30",
"content": "oh okay",
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"timestamp": "01/29/2023 02:57:55",
"content": "so now going back to normal f(x)",
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"timestamp": "01/29/2023 02:58:02",
"content": "what if x = 0",
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"timestamp": "01/29/2023 02:58:06",
"content": "f(x) = 0",
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"timestamp": "01/29/2023 02:58:12",
"content": "f'(x) is something",
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"timestamp": "01/29/2023 02:58:18",
"content": "ik ik",
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"timestamp": "01/29/2023 02:58:19",
"content": "irrelevant to cvs",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:58:21",
"content": "he said",
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"timestamp": "01/29/2023 02:58:37",
"content": "",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:58:38",
"content": "why is not defined?",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:58:47",
"content": "because x = 0?",
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 02:58:52",
"content": "so when x = 0 its undefined?",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:00",
"content": "omg i never saw that",
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"id": 1069164771007545300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:05",
"content": "thats why i was confused",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:09",
"content": "yea ok for sure then",
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"id": 1069164835457208300,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:20",
"content": "critical values are when f'(x) = 0 or when f'(x) is undefined",
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"id": 1069164855342407700,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:25",
"content": "so he did do the denominator",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:59:28",
"content": "oh so when the denominator is equal to zero that means its undefined",
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"id": 1069164877484130400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:30",
"content": "ye",
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"id": 1069164879530963100,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 02:59:31",
"content": "he did both",
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"id": 1069164890369032300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:33",
"content": "i did not see that b4",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:59:39",
"content": "no worries",
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"id": 1069164922342223900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:41",
"content": "i thought it was odd he skipped it",
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"id": 1069164949538078700,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 02:59:48",
"content": "so ya your CVs are at x = 1 and x = 0",
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"author_name": "Olls",
"timestamp": "01/29/2023 02:59:51",
"content": "wait we have to find 2 critical values",
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"id": 1069164969326821500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 02:59:52",
"content": "?",
"attachments": [],
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"id": 1069164997227323500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 02:59:59",
"content": "or one is enough?",
"attachments": [],
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{
"id": 1069165005351682000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:00:01",
"content": "in this case it happens that you do have two",
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"id": 1069165026386116600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:00:06",
"content": "you should find all of them",
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"id": 1069165028378431500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:00:06",
"content": "why's that?",
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"id": 1069165061224022100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:00:14",
"content": "critical values are representative of extrema",
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"id": 1069165172503101400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:00:41",
"content": "cv implies there is an extrema at that x",
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"id": 1069165271417364600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:01:04",
"content": "hm",
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{
"id": 1069165301528272900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:01:12",
"content": "you could have more than 2",
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"id": 1069165315348512800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:01:15",
"content": "you wont for this function",
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"id": 1069165466951635100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:01:51",
"content": "but maybe you have something like (x-4)/(x^2-2+1)",
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"id": 1069165497976881300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:01:58",
"content": "oh",
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"id": 1069165502552875000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:01:59",
"content": "that one will have 3 cvs",
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{
"id": 1069165512484999300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:02:02",
"content": "yeah",
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"id": 1069165545070534800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:02:10",
"content": "because it has 3 x values that make it 0 or undefined",
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"id": 1069165553866002600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:02:12",
"content": "for the deno you would have 2 cvs and 1 on the top",
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"id": 1069165563861008400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:02:14",
"content": "yuh",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:02:22",
"content": "",
"attachments": [
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"id": 1069165617137061900,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:02:27",
"content": "here, whats the purpose of this?",
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"id": 1069165677337907200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:02:41",
"content": "figuring out what type of extrema you have",
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"id": 1069165731226337300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:02:54",
"content": "you have bounds given, [0,4]",
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"id": 1069165747076595700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:02:58",
"content": "mhm",
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"id": 1069165809257173100,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:03:13",
"content": "you wanna see if its in-between the interval?",
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"id": 1069165818065195100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:03:15",
"content": "so to determine if its a minimum or maximum you just need to compare it to the things around it",
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"id": 1069165833881923700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:03:18",
"content": "eeeeyea?",
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"id": 1069165857651036200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:03:24",
"content": "well you know 1 is between 0 and 4",
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"id": 1069165926873829400,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:03:41",
"content": "but you want to know if the value of the function is higher or lower than it is at the bounds",
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"id": 1069166044972863500,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:04:09",
"content": "so in this case f(1) is the lowest value among f(0),f(1),f(4)",
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"id": 1069166080058216600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:04:17",
"content": "meaning it is a minimum",
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"id": 1069166231917187100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:04:53",
"content": "and it also gives you a y value for that extrema",
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"id": 1069166473769132000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:05:51",
"content": "ok so lets come to a conclusion",
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"id": 1069166502080684000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:05:58",
"content": "sure",
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"id": 1069166517188579300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:06:01",
"content": "1. we find the deriviative of a function",
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"id": 1069166612067913700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:06:24",
"content": "2. then we find the domain of the numerator and denominator which gives us x = something",
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"id": 1069166648122163300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:06:33",
"content": "3. we use them to replace by the function",
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"id": 1069166744683417600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:06:56",
"content": "4. we use the end points as well to replace by the function",
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"id": 1069166834017902600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:07:17",
"content": "5. do the table and plug the values that you found in step 4",
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"id": 1069166859171143700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:07:23",
"content": "is that correct?",
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"id": 1069166868952260600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:07:25",
"content": "maybe?",
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"id": 1069166877588328400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:07:27",
"content": "essentially yes",
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"id": 1069166910626861000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:07:35",
"content": "2 is kinda wonky",
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"id": 1069166996886921300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:07:56",
"content": "in place of 2 i would just say \"find when the derivative is equal to zero or is undefined\"",
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"id": 1069167017594200000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:08:01",
"content": "may not always be a rational",
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"id": 1069167023868883000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:02",
"content": "yeah mb",
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"id": 1069167031141810200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:04",
"content": "mb",
"attachments": [],
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"id": 1069167092873572400,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:19",
"content": "also one thing",
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"id": 1069167109923414000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:23",
"content": "if he gabe us a function",
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{
"id": 1069167192920301600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:42",
"content": "can it be possible that we cant find it?",
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{
"id": 1069167221659676700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:49",
"content": "like we can't solve it?",
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{
"id": 1069167234393575400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:08:52",
"content": "cant find what",
"attachments": [],
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},
{
"id": 1069167245894361100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:08:55",
"content": "in particular",
"attachments": [],
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},
{
"id": 1069167252353585300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:08:57",
"content": "extrema",
"attachments": [],
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},
{
"id": 1069167286973378700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:09:05",
"content": "not as far as i'm aware",
"attachments": [],
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},
{
"id": 1069167321043718300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:09:13",
"content": "its possible that it will not have any",
"attachments": [],
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},
{
"id": 1069167338924028000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:09:17",
"content": "but",
"attachments": [],
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},
{
"id": 1069167364685430800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:09:23",
"content": "any what",
"attachments": [],
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},
{
"id": 1069167415675588600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:09:36",
"content": "in the case that they exist on the given interval you should be able to find them",
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{
"id": 1069167434709348400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:09:40",
"content": "any extrema*",
"attachments": [],
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},
{
"id": 1069167511960027300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:09:59",
"content": "btw are you familiar",
"attachments": [],
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"id": 1069167518045982700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:10:00",
"content": "with",
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"id": 1069167527806120000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:10:02",
"content": "rolle's theorem",
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"content": "if you know that",
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"content": "yes",
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"content": "do you mind helping me with Mean's value theorem and rolle's theorem",
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"content": "i think because they have something in common",
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"timestamp": "01/29/2023 03:11:19",
"content": "yea how so",
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"content": "they are similar in a way",
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"timestamp": "01/29/2023 03:12:03",
"content": "this is a question regarding rolle's",
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"content": "@Zenoxy btw i really appreciate your time, i have an ap cal test tmr and bro if i fail that shit im literally fucked",
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"timestamp": "01/29/2023 03:12:59",
"content": "of course",
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"timestamp": "01/29/2023 03:13:15",
"content": "sooo",
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"timestamp": "01/29/2023 03:13:15",
"content": "i guess",
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"timestamp": "01/29/2023 03:13:22",
"content": "i dont like that he says prove",
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"timestamp": "01/29/2023 03:13:29",
"content": "there is no way u are expected to prove rolle's",
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"timestamp": "01/29/2023 03:13:41",
"content": "more like show the value of x for that to be true",
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"timestamp": "01/29/2023 03:14:50",
"content": "is this him answering a?",
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"timestamp": "01/29/2023 03:15:00",
"content": "this is rolle's theorem",
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"timestamp": "01/29/2023 03:15:03",
"content": "yea",
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"timestamp": "01/29/2023 03:15:13",
"content": "rolle's proves a",
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"timestamp": "01/29/2023 03:15:22",
"content": "",
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"timestamp": "01/29/2023 03:15:47",
"content": "ayo bro i dont understand shit, i missed like 2 classes cuz i was sick",
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"timestamp": "01/29/2023 03:17:17",
"content": "this is crazy he expects u to write this lol",
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"timestamp": "01/29/2023 03:17:27",
"content": "ikr",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:17:39",
"content": "maybe there's like a simpler way of solving this question",
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"timestamp": "01/29/2023 03:17:46",
"content": "but this dude always goes for the hard way",
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"timestamp": "01/29/2023 03:17:47",
"content": "ig",
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"timestamp": "01/29/2023 03:17:49",
"content": "a is silly",
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"timestamp": "01/29/2023 03:18:05",
"content": "b is just using the theorem",
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"timestamp": "01/29/2023 03:18:22",
"content": "also",
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"timestamp": "01/29/2023 03:18:28",
"content": "he said in the question",
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"id": 1069169691924365400,
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"timestamp": "01/29/2023 03:18:38",
"content": "prove that the equation",
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"timestamp": "01/29/2023 03:18:50",
"content": "f'(x) = 0 has at least one solution",
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"timestamp": "01/29/2023 03:18:56",
"content": "wdym by one solution",
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"timestamp": "01/29/2023 03:19:02",
"content": "like one x value",
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"timestamp": "01/29/2023 03:19:05",
"content": "at least",
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"timestamp": "01/29/2023 03:19:26",
"content": "because the function is continuous and differentiable from [4,36]",
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"timestamp": "01/29/2023 03:19:40",
"content": "and (im gonna take his word for it) f(4) = f(36)",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:20:08",
"content": "how do you know its cont and diff",
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"timestamp": "01/29/2023 03:20:11",
"content": "you just guess?",
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"timestamp": "01/29/2023 03:20:17",
"content": "lol",
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"timestamp": "01/29/2023 03:20:38",
"content": "its cont because you just know",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:20:39",
"content": "thats just my problem",
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"timestamp": "01/29/2023 03:20:45",
"content": "its a polynomial",
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"timestamp": "01/29/2023 03:20:57",
"content": "oh yeah",
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"timestamp": "01/29/2023 03:20:59",
"content": "yeah",
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"id": 1069170316867276900,
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"timestamp": "01/29/2023 03:21:07",
"content": "differentiable helps to find its derivative first",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:21:09",
"content": "but if its cont that doesnt mean it has to be diff?",
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"id": 1069170342825820300,
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"timestamp": "01/29/2023 03:21:13",
"content": "no",
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"timestamp": "01/29/2023 03:21:18",
"content": "the other way around actually",
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"timestamp": "01/29/2023 03:21:21",
"content": "yeah",
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"timestamp": "01/29/2023 03:21:23",
"content": "differentiable implies continuity",
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"id": 1069170391077097500,
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"timestamp": "01/29/2023 03:21:25",
"content": "so how did u know",
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"id": 1069170405283209200,
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"timestamp": "01/29/2023 03:21:28",
"content": "that its diff",
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"timestamp": "01/29/2023 03:21:33",
"content": "derivative in my head",
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"timestamp": "01/29/2023 03:21:40",
"content": "when u take derivative u get 1 + 4/root(X)",
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"timestamp": "01/29/2023 03:22:03",
"content": "which is going to be undefined at x=0",
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"timestamp": "01/29/2023 03:22:25",
"content": "but",
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"id": 1069170659663564800,
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"timestamp": "01/29/2023 03:22:29",
"content": "thats outside ur bounds",
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"id": 1069170664910635000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:22:30",
"content": "so who cares",
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"id": 1069170767331340300,
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"timestamp": "01/29/2023 03:22:55",
"content": "thats how you see if its diff?",
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"timestamp": "01/29/2023 03:23:03",
"content": "ya",
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"id": 1069170831856500700,
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"timestamp": "01/29/2023 03:23:10",
"content": "on the interval",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:23:19",
"content": "my bad maybe bad clarity uhh",
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"timestamp": "01/29/2023 03:23:23",
"content": "functions are all differentiable",
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"timestamp": "01/29/2023 03:23:40",
"content": "one second",
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"timestamp": "01/29/2023 03:23:44",
"content": "u can take the derivative of anything",
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"timestamp": "01/29/2023 03:23:45",
"content": "is what i mean",
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"timestamp": "01/29/2023 03:23:47",
"content": "😭",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:23:49",
"content": "how did you do it in ur head",
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"timestamp": "01/29/2023 03:23:51",
"content": "do u have a way or smthin",
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"timestamp": "01/29/2023 03:24:08",
"content": "f(x) is x - 8(rootx) + 12",
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"timestamp": "01/29/2023 03:24:09",
"content": "so ya",
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"timestamp": "01/29/2023 03:24:14",
"content": "i did sorta just do it in my head idk",
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"timestamp": "01/29/2023 03:24:17",
"content": "root x is x^1/2",
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"timestamp": "01/29/2023 03:24:33",
"content": "yes okay what about the 8",
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"timestamp": "01/29/2023 03:24:37",
"content": "multiply by 1/2 then 8 turns into 4 and x^1/2 moves down to denominator",
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"timestamp": "01/29/2023 03:24:48",
"content": "4/rootx",
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"timestamp": "01/29/2023 03:25:18",
"content": "oh",
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"timestamp": "01/29/2023 03:25:39",
"content": "bro i googled that and said w ehave to use the product rule",
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"timestamp": "01/29/2023 03:25:57",
"content": "its troll",
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"timestamp": "01/29/2023 03:25:58",
"content": "but",
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"timestamp": "01/29/2023 03:25:59",
"content": "@Zenoxy okay so we know its cont and diff",
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"id": 1069171539045519400,
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"timestamp": "01/29/2023 03:25:59",
"content": "true",
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"id": 1069171547354452000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:26:01",
"content": "and then what",
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"id": 1069171571933061200,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:26:06",
"content": "its just wasting ur time",
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"id": 1069171574604841000,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:26:07",
"content": "lol",
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"timestamp": "01/29/2023 03:26:16",
"content": "yea its just needless",
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"timestamp": "01/29/2023 03:26:41",
"content": "derivative of 100x = 100* derivative of x",
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"timestamp": "01/29/2023 03:26:56",
"content": "ya we know its cont and diff on [4,36]",
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"timestamp": "01/29/2023 03:26:56",
"content": "what",
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"timestamp": "01/29/2023 03:27:10",
"content": "😭 what was that lmao",
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"timestamp": "01/29/2023 03:27:15",
"content": "there",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:27:27",
"content": "yes ik what is an d/dx",
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"timestamp": "01/29/2023 03:27:32",
"content": "but why 100",
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"timestamp": "01/29/2023 03:27:38",
"content": "arbitrary number",
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"timestamp": "01/29/2023 03:27:51",
"content": "random example",
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"timestamp": "01/29/2023 03:28:07",
"content": "ok so we know its cont and diff",
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"id": 1069172084577677300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:28:09",
"content": "on the interval",
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"id": 1069172092337127400,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:28:11",
"content": "yep",
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"id": 1069172174335770800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:28:30",
"content": "then?",
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{
"id": 1069172219386802200,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:28:41",
"content": "thats 1 half of the conditions met",
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{
"id": 1069172239301345300,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:28:46",
"content": "the other is that f(a) = f(b)",
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"id": 1069172276362215600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:28:54",
"content": "a = 4 b = 36",
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{
"id": 1069172361577894000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:29:15",
"content": "so literally just plug those values into the base function",
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{
"id": 1069172367135342600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:29:16",
"content": "to verify",
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{
"id": 1069172393421062100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:29:22",
"content": "(they are equal)",
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"id": 1069172394448662500,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:29:23",
"content": "we plug them",
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{
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"author_name": "Olls",
"timestamp": "01/29/2023 03:29:26",
"content": "and if they equal then?",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:29:32",
"content": "so thats your second condition met",
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"timestamp": "01/29/2023 03:29:39",
"content": "now rolle's theorem is valid to apply",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:29:41",
"content": "and if its not?",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:29:49",
"content": "rolle's doesn't necessarily apply",
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"id": 1069172509255147500,
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"timestamp": "01/29/2023 03:29:50",
"content": "then",
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"id": 1069172518109315100,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:29:52",
"content": "if its not then we cant use it...",
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"id": 1069172525621317600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:29:54",
"content": "oh",
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{
"id": 1069172561595871200,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:02",
"content": "yea it means you cant use it like",
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{
"id": 1069172568361283700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:04",
"content": "validly",
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},
{
"id": 1069172571523788800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:05",
"content": "lol",
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{
"id": 1069172658425561100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:26",
"content": "but anyways it does",
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{
"id": 1069172659537059800,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:26",
"content": "so",
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"id": 1069172702537076700,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:30:36",
"content": "",
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"id": 1069172713932984300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:30:39",
"content": "what does it mean",
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{
"id": 1069172732857692200,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:43",
"content": "in english:",
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{
"id": 1069172791531802600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:30:57",
"content": "There exists a value c on the interval [4,36] such that f'(c) = 0",
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{
"id": 1069172868837036200,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:31:16",
"content": "the first letter means \"there exists\"",
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"timestamp": "01/29/2023 03:31:18",
"content": "yep",
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},
{
"id": 1069172939041288200,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:31:32",
"content": "c is a variable, funky alien e is 'is an element of'",
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{
"id": 1069172977092001900,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:31:42",
"content": "or 'is within'",
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{
"id": 1069172994620010500,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:31:46",
"content": "doesnt matter",
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{
"id": 1069172999015641200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:31:47",
"content": "'is in'",
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},
{
"id": 1069173004325621800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:31:48",
"content": "mhm",
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{
"id": 1069173022990278700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:31:52",
"content": "what about finding c",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:31:57",
"content": "",
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"id": 1069173099108507600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:11",
"content": "finding c like the last example",
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{
"id": 1069173109736886300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:13",
"content": "the x^1/4 one",
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{
"id": 1069173149897343000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:32:23",
"content": "where did he get this",
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},
{
"id": 1069173162169872400,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:32:26",
"content": "",
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{
"id": 1069173170382311400,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:28",
"content": "so find where f'(x) is zero or undefined",
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{
"id": 1069173172353630200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:28",
"content": "uhh",
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},
{
"id": 1069173243640033300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:45",
"content": "is that an 8?",
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{
"id": 1069173253903483000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:32:48",
"content": "on bottom?",
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{
"id": 1069173419662385200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:33:27",
"content": "where?",
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{
"id": 1069173454269583400,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:33:35",
"content": "8 is the numerator",
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{
"id": 1069173464432386000,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:33:38",
"content": "and 2 radical x",
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{
"id": 1069173487018704900,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:33:43",
"content": "is on the denominator",
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},
{
"id": 1069173512251642000,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:33:49",
"content": "where did he get this",
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},
{
"id": 1069173513874841600,
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"timestamp": "01/29/2023 03:33:49",
"content": "oh its a 2",
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},
{
"id": 1069173538428289000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:33:55",
"content": "yea its just the derivative",
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{
"id": 1069173552059789300,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:33:59",
"content": "thats the same at 4/rootx",
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},
{
"id": 1069173998136606700,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:35:45",
"content": "okay",
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},
{
"id": 1069174104244113400,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:36:10",
"content": "okay last thing and im done for now at least",
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},
{
"id": 1069174108371308500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:36:11",
"content": "ig",
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},
{
"id": 1069174130601115800,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:36:17",
"content": "ya",
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},
{
"id": 1069174213254066200,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:36:36",
"content": "",
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"id": 1069174228378722300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:36:40",
"content": "you're familiar with this right?",
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{
"id": 1069174262969139300,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:36:48",
"content": "ye",
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},
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"id": 1069174346360291300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:37:08",
"content": "so whats the main idea of this lesson",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:37:10",
"content": "whats the purpose",
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"timestamp": "01/29/2023 03:38:07",
"content": "honestly",
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"timestamp": "01/29/2023 03:38:14",
"content": "not much outside of proving other stuff",
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"timestamp": "01/29/2023 03:38:21",
"content": "it doesn't help you find the point either",
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"timestamp": "01/29/2023 03:38:58",
"content": "",
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"timestamp": "01/29/2023 03:39:32",
"content": "sure so",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:39:33",
"content": "it is cont",
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"timestamp": "01/29/2023 03:39:41",
"content": "and diff",
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"timestamp": "01/29/2023 03:39:48",
"content": "(3x^2 - 6)",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:39:58",
"content": "mhm yes derivative",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:40:32",
"content": "im assuming that's what hes asking for by a proof",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:40:38",
"content": "show that the conditions of the theorem are true for the example",
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"timestamp": "01/29/2023 03:40:47",
"content": "so thats good",
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"id": 1069175276535292000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:40:50",
"content": "done that",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:40:53",
"content": "",
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"timestamp": "01/29/2023 03:41:03",
"content": "yea",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:41:10",
"content": "then you can literally just plug in values for all of it",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:41:31",
"content": "which will get a value for f'(c)",
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"id": 1069175470580564000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:41:36",
"content": "being 1",
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"id": 1069175521088376800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:41:48",
"content": "okay",
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"id": 1069175528399048700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:41:50",
"content": "yep",
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"id": 1069175529225334800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:41:50",
"content": "at that point u dont actually know c you just know f'(c)",
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"id": 1069175548733042800,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:41:55",
"content": "so u solve for c because you have enough info",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:41:55",
"content": "yep",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:42:06",
"content": "mvt is more of a formula question than one you actually apply",
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"id": 1069175608497684500,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:42:09",
"content": "for calc 1 stuff at least",
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"id": 1069175672636973000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:42:24",
"content": "i take AP Calculus AB",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:42:28",
"content": "i guess thats calc 1?",
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"id": 1069175745487839400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:42:42",
"content": "AB?",
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"id": 1069175756334317600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:42:44",
"content": "ye",
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"id": 1069175765708591100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:42:46",
"content": "what is ab",
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"id": 1069175827494879200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:01",
"content": "are u in a american circ or british",
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"id": 1069175857417039900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:43:08",
"content": "canada",
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"id": 1069175865298141200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:43:10",
"content": "so",
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"id": 1069175870788485100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:43:11",
"content": "british?",
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"id": 1069175874768875500,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:43:12",
"content": "idk",
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"id": 1069175895736201300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:17",
"content": "do you know AP?",
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"id": 1069175913167732700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:43:22",
"content": "yea we have ap",
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"id": 1069175920017018900,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:23",
"content": "like AP Calculus",
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{
"id": 1069175944973136000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:29",
"content": "AP Physics",
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"id": 1069175948630573200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:30",
"content": "yes in ap calculus",
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"id": 1069175973918031900,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:36",
"content": "there's 2 sections",
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"id": 1069176004330917900,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:43",
"content": "AP Calculus AB and AP Calculus BC",
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"id": 1069176039693090800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:43:52",
"content": "AB is like 8 units",
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"id": 1069176081145417700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:44:02",
"content": "and BC is basically AB but with extra 2 units",
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"id": 1069176107661803500,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:44:08",
"content": "have you done integration?",
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"id": 1069176122266370000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:44:11",
"content": "not yet",
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{
"id": 1069176134606016500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:44:14",
"content": "2nd semester",
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"id": 1069176140587081700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:44:16",
"content": "thats bc then?",
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{
"id": 1069176184233013400,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:44:26",
"content": "lemme show u wait",
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"id": 1069176214692048900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:44:33",
"content": "it sounds like calc 1 is AB & BC",
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"id": 1069176228457742300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:44:37",
"content": "i think you know college board?",
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"id": 1069176246052847600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:44:41",
"content": "sure?",
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"id": 1069176390970257400,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:45:15",
"content": "",
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"id": 1069176650610266100,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:46:17",
"content": "right",
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"id": 1069176738917138400,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:46:38",
"content": "",
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"id": 1069176758609391600,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:46:43",
"content": "can u explain this to me",
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"id": 1069176815723225200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:46:57",
"content": "like a summary",
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{
"id": 1069176817233166300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:46:57",
"content": "not the",
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{
"id": 1069176818776682600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:46:57",
"content": "1st one",
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"id": 1069176836648599600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:02",
"content": "u get 1st?",
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"id": 1069176846861738000,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:47:04",
"content": "ye",
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"id": 1069176865899688100,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:09",
"content": "ya lemme read this",
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"id": 1069176931624419500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:47:24",
"content": "is that x or alpha",
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"id": 1069176975836586000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:35",
"content": "probably x",
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"timestamp": "01/29/2023 03:47:44",
"content": "",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:53",
"content": "idk why he says 'usual functions' but",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:57",
"content": "polynomial = continuous",
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"id": 1069177078093721600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:47:59",
"content": "is what that part means",
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"id": 1069177132535775400,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:48:12",
"content": "okay",
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"id": 1069177182246678500,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:48:24",
"content": "",
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"timestamp": "01/29/2023 03:48:28",
"content": "its just the language he uses that im not getting",
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"timestamp": "01/29/2023 03:48:34",
"content": "if [a,b] is included in Df",
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"timestamp": "01/29/2023 03:48:38",
"content": "Df i assume means domain of f",
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"id": 1069177274714292200,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:48:46",
"content": "perhaps",
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"timestamp": "01/29/2023 03:48:52",
"content": "then f is also continuous on [a,b]",
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"timestamp": "01/29/2023 03:49:02",
"content": "ie, lets say your function is continuous from 0,10",
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"timestamp": "01/29/2023 03:49:11",
"content": "you can be certain its continuous from 3,6",
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"timestamp": "01/29/2023 03:49:12",
"content": "obviously",
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"timestamp": "01/29/2023 03:49:14",
"content": "but thats what it says",
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"content": "thats what this means?",
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"content": "yea",
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"timestamp": "01/29/2023 03:49:43",
"content": "it makes more sense when you explain it to me in that way",
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"timestamp": "01/29/2023 03:49:52",
"content": "as it should lol",
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"timestamp": "01/29/2023 03:50:28",
"content": "uhh",
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"timestamp": "01/29/2023 03:50:32",
"content": "the example is log laws",
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"timestamp": "01/29/2023 03:51:02",
"content": "obviously u cant have e^x <= 0",
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"timestamp": "01/29/2023 03:51:02",
"content": "mhm",
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"timestamp": "01/29/2023 03:51:05",
"content": "or",
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"timestamp": "01/29/2023 03:51:06",
"content": "something",
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"timestamp": "01/29/2023 03:51:25",
"content": "whatever its just yknow find when function is 0 or undefined, if at all",
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"timestamp": "01/29/2023 03:51:31",
"content": "if not its continuous",
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"timestamp": "01/29/2023 03:51:32",
"content": "also",
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"timestamp": "01/29/2023 03:51:43",
"content": "differentiability is really just continuity of your derivative",
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"timestamp": "01/29/2023 03:51:52",
"content": "on an interval",
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"timestamp": "01/29/2023 03:52:04",
"content": "so we find the deriviative of the function",
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"timestamp": "01/29/2023 03:52:08",
"content": "which is why differentiability implies continuity",
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"timestamp": "01/29/2023 03:52:19",
"content": "because if f'(x) is continuous then f(x) has to be continuous",
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"timestamp": "01/29/2023 03:52:46",
"content": "okay",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:53:12",
"content": "ya that lesson is just continuity so he doesnt take derivative of that function",
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"timestamp": "01/29/2023 03:53:46",
"content": "calc BC looks horrifying btw",
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"content": "",
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"timestamp": "01/29/2023 03:53:58",
"content": "danger^",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:54:04",
"content": "you took it?",
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"timestamp": "01/29/2023 03:54:12",
"content": "i dont know",
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"timestamp": "01/29/2023 03:54:24",
"content": "yeah im not taking it this year lmao",
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"timestamp": "01/29/2023 03:54:27",
"content": "im only taking AB",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:54:37",
"content": "this is grade school stuff?",
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"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:54:38",
"content": "where?",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:54:44",
"content": "high school",
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"timestamp": "01/29/2023 03:54:46",
"content": "grade 12",
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"id": 1069178798454620400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:54:49",
"content": "in the us?",
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:54:52",
"content": "nope",
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"id": 1069178821028368400,
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"timestamp": "01/29/2023 03:54:55",
"content": "oh",
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{
"id": 1069178832067756000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:54:57",
"content": "im in the uae",
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{
"id": 1069178835326746800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:54:58",
"content": "dubai",
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{
"id": 1069178845829279700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:55:01",
"content": "ohhh",
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"id": 1069178895087181800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:55:12",
"content": "my school is american circ",
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"id": 1069178916973051900,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:55:18",
"content": "oh",
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"id": 1069179005426741200,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:55:39",
"content": "yea im not a fan of polar coords",
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{
"id": 1069179013219766300,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:55:41",
"content": "or vectors at all",
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"id": 1069179096355061800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:56:00",
"content": "thats sounds horrific",
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"id": 1069179158430744600,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:56:15",
"content": "why is this",
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"id": 1069179165619785900,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:56:17",
"content": "not equal",
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"timestamp": "01/29/2023 03:56:18",
"content": "",
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"timestamp": "01/29/2023 03:56:20",
"content": "but greater than",
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:57:08",
"content": "btw point 3 is not continous?",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:57:14",
"content": "cuz look at the dot its not complete",
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"id": 1069179428510384100,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:57:20",
"content": "its not filled",
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"timestamp": "01/29/2023 03:57:29",
"content": "yea its not",
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"timestamp": "01/29/2023 03:57:29",
"content": "at 3",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:57:43",
"content": "it doesnt matter though because it's asking about 5,inf",
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"id": 1069179596416749600,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:58:00",
"content": "oh for this",
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"timestamp": "01/29/2023 03:58:01",
"content": "",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:58:05",
"content": "that is not a C",
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"id": 1069179677748494300,
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"author_name": "Olls",
"timestamp": "01/29/2023 03:58:19",
"content": "i think it means continous",
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"timestamp": "01/29/2023 03:58:22",
"content": "nope",
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 03:58:28",
"content": "then?",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:58:36",
"content": "huhhh",
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{
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"timestamp": "01/29/2023 03:59:17",
"content": "in english again: Is the interval [5,inf) a subset of the interval (3,inf)? Yes, then f is continuous on [5,inf)",
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"id": 1069180016761516000,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:59:40",
"content": "subset because",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 03:59:43",
"content": "intervals ARE just sets",
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"id": 1069180041965084700,
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"timestamp": "01/29/2023 03:59:46",
"content": "of real numbers",
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"author_name": "Olls",
"timestamp": "01/29/2023 03:59:55",
"content": "what does subset mean",
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{
"id": 1069180118385295500,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:00:04",
"content": "like a smaller set inside of another one",
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"timestamp": "01/29/2023 04:00:20",
"content": "kinda like",
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"id": 1069180229974761500,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:00:31",
"content": "think about the set of all real numbers, R",
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"id": 1069180247737647200,
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"author_name": "Olls",
"timestamp": "01/29/2023 04:00:35",
"content": "okay",
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{
"id": 1069180278066659500,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:00:42",
"content": "the set of all integers, Z, is a subset of R",
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},
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"id": 1069180302511050800,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:00:48",
"content": "ie, Z \"C\" R",
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{
"id": 1069180320538185700,
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:00:52",
"content": "not a C but i dont have fancy symbols",
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:01:01",
"content": "or a smaller example",
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"id": 1069180379099037700,
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"author_name": "Olls",
"timestamp": "01/29/2023 04:01:06",
"content": "kk nw",
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{
"id": 1069180496682156000,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:01:34",
"content": "the set A = [3, 4, 5] is a subset of B = [1, 2, 3, 4, 5, 6]",
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"id": 1069180513509707900,
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"timestamp": "01/29/2023 04:01:38",
"content": "A \"C\" B",
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"id": 1069180566571847700,
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"timestamp": "01/29/2023 04:01:51",
"content": "oh",
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"id": 1069180572099940500,
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"author_name": "Olls",
"timestamp": "01/29/2023 04:01:52",
"content": "ohh",
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},
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:01:55",
"content": "its also backwards in this case",
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"id": 1069180597253181400,
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"timestamp": "01/29/2023 04:01:58",
"content": "i didnt even realize",
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"author_name": "Olls",
"timestamp": "01/29/2023 04:02:08",
"content": "ok i think i get ur point",
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},
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"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:10",
"content": "this should be A 'backwards c' B",
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},
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"id": 1069180684423405600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:19",
"content": "in reality",
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"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:25",
"content": "this is saying the right side is a subset of the left",
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},
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"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:31",
"content": "ie, right side is a piece of the left side",
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},
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"id": 1069180771434246100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:40",
"content": "the symbol is kinda like a funnel if that helps",
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},
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"id": 1069180788970618900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:02:44",
"content": "smaller one funnels into the bigger one",
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},
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"id": 1069180821078016000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:02:52",
"content": "mhm",
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"id": 1069181018755563500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:03:39",
"content": "okay",
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},
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"id": 1069181111130915000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:04:01",
"content": "here's a second one",
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},
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:04:03",
"content": "",
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"id": 1069181238688088200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:04:31",
"content": "sidenote: on the first day of calc 1 (first uni math class basically) the prof was writing with symbols, and 95% of people were like 'yo wtf is this guy doing'",
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},
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"id": 1069181304597385200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:04:47",
"content": "lmao",
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},
{
"id": 1069181321303298000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:04:51",
"content": "yes",
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},
{
"id": 1069181324247707600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:04:52",
"content": "ik",
"attachments": [],
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},
{
"id": 1069181367482581000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:05:02",
"content": "like the \"there exists\" symbol",
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},
{
"id": 1069181394254843900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:05:08",
"content": "there exists, for all,",
"attachments": [],
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},
{
"id": 1069181427993808900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:05:16",
"content": "the foundational ones but no one knew",
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},
{
"id": 1069181453084135600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:05:22",
"content": "mhm",
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},
{
"id": 1069181502962815000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:05:34",
"content": "here",
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},
{
"id": 1069181521522606100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:05:39",
"content": "yea this one is good",
"attachments": [],
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},
{
"id": 1069181594046304300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:05:56",
"content": "we find the dom for the num and the deno?",
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},
{
"id": 1069181635574116400,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:06",
"content": "bad values are 6, -2",
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},
{
"id": 1069181644466040800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:08",
"content": "yea",
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},
{
"id": 1069181676510527600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:16",
"content": "and lnx uhh",
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},
{
"id": 1069181691203166200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:06:19",
"content": "why did he put not equal to zero",
"attachments": [],
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},
{
"id": 1069181691920384100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:19",
"content": "log laws hurt my head",
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},
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"id": 1069181714666115100,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:06:25",
"content": "yh",
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},
{
"id": 1069181719191748700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:06:26",
"content": "same",
"attachments": [],
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},
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"id": 1069181723000197100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:27",
"content": "well",
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},
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"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:38",
"content": "",
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"id": 1069181823311151200,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:06:51",
"content": "the function is defined when both of those are true",
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},
{
"id": 1069181860950855700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:07:00",
"content": "oh",
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},
{
"id": 1069181865241612300,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:07:01",
"content": "wait",
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},
{
"id": 1069181895797125200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:07:08",
"content": "so its defined when its not equal to zero",
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},
{
"id": 1069181905729232900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:10",
"content": "roots mean denominator is zero",
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},
{
"id": 1069181907205623800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:11",
"content": "yea",
"attachments": [],
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},
{
"id": 1069181934212755500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:07:17",
"content": "if one of them is, then its undefeined?",
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},
{
"id": 1069182032434958300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:40",
"content": "yeaaa",
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},
{
"id": 1069182047832248300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:44",
"content": "yes",
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},
{
"id": 1069182051116404900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:45",
"content": "so",
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},
{
"id": 1069182079373422600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:52",
"content": "lnx cant take in a negative number",
"attachments": [],
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},
{
"id": 1069182092736462800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:07:55",
"content": "or 0",
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},
{
"id": 1069182134612402300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:08:05",
"content": "so x has to be > 0",
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},
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"id": 1069182143118450700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:08:07",
"content": "yeah",
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},
{
"id": 1069182217294712800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:08:25",
"content": "unless if its ln (1)",
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},
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"id": 1069182229261058200,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:08:27",
"content": "cuz its 0",
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},
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"id": 1069182403521806300,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:09:09",
"content": "it can be ln1",
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},
{
"id": 1069182415999864800,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:09:12",
"content": "is fine",
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},
{
"id": 1069182447826243600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:09:20",
"content": "the value of ln1 is 0",
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},
{
"id": 1069182471628931100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:09:25",
"content": "but thats still a defined value",
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},
{
"id": 1069182511676129400,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:09:35",
"content": "k",
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},
{
"id": 1069182555028463700,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:09:45",
"content": "i think",
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},
{
"id": 1069182625450836100,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:10:02",
"content": "im going back and forth between ln(x) and e^x in my head and i think i got it all backwards",
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},
{
"id": 1069182655364599800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:10:09",
"content": "lol its fine",
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},
{
"id": 1069182706337988600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:10:21",
"content": "can we get in a call i just want to show you something",
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},
{
"id": 1069182716874068000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:10:24",
"content": "if you mind",
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},
{
"id": 1069182726793596900,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/29/2023 04:10:26",
"content": "sure?",
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},
{
"id": 1069182731247943700,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 04:10:27",
"content": "just for few mins",
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 04:15:27",
"content": "@FeelingGood Has your question been resolved?",
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"timestamp": "01/29/2023 04:30:28",
"content": "Channel closed",
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}
] | help-9 | 81eb9a78812d48b3b442bc4e9b0ac6fe |
201,125 | [
{
"id": 1069188020139475100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 04:31:28",
"content": "Available help channel!",
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},
{
"id": 1069188331717529600,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 04:32:42",
"content": "is there any formula or result for finding sum of binomial coefficient series where the subscript is multiplied with the coefficient",
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},
{
"id": 1069188333974077600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 04:32:43",
"content": "Pinned a message.",
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}
},
{
"id": 1069188377817129000,
"author_id": 642033831519715300,
"author_name": "SLang",
"timestamp": "01/29/2023 04:32:53",
"content": "need a detailed explanation",
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},
{
"id": 1069188409224089700,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/29/2023 04:33:01",
"content": "dont hijack",
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},
{
"id": 1069188426387181700,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/29/2023 04:33:05",
"content": "go to your own channel",
"attachments": [],
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"reference": null
},
{
"id": 1069188459094364200,
"author_id": 642033831519715300,
"author_name": "SLang",
"timestamp": "01/29/2023 04:33:13",
"content": "oh sorry",
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},
{
"id": 1069188505340756100,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 04:33:24",
"content": "eg. 10c1 + 2 * 10c2 + 3 * 10c3 + 4 * 10c4 + 5 * 10c5",
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"reference": null
},
{
"id": 1069188507198820400,
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"author_name": "SLang",
"timestamp": "01/29/2023 04:33:24",
"content": "i made a mistake",
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},
{
"id": 1069188515591635100,
"author_id": 951190447185875000,
"author_name": "MathIsAlwaysRight",
"timestamp": "01/29/2023 04:33:26",
"content": "I think they claimed it at almost same time, it's not really his bad",
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},
{
"id": 1069188547191509100,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 04:33:34",
"content": "yeah",
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},
{
"id": 1069188621690732500,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/29/2023 04:33:51",
"content": "no worries",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 04:48:34",
"content": "@soham Has your question been resolved?",
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{
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"timestamp": "01/29/2023 05:18:40",
"content": "@soham Has your question been resolved?",
"attachments": [],
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"timestamp": "01/29/2023 05:18:50",
"content": "@helperssss",
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"id": 1069199948006047700,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:18:52",
"content": "I can offer you one",
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"id": 1069199949369192600,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:18:52",
"content": "dont delete",
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},
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"id": 1069199957103489000,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:18:54",
"content": "this channel",
"attachments": [],
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"id": 1069199960987406500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:18:55",
"content": "please",
"attachments": [],
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"id": 1069199962732236800,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:18:55",
"content": "if you sum all of them",
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"id": 1069200001240154100,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:19:05",
"content": "i had a convo with someone explaining mostly everything",
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"id": 1069200030751260700,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:19:12",
"content": "sorry",
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"id": 1069200074535608300,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:19:22",
"content": "?",
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"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:19:33",
"content": "bro go to a diff channel",
"attachments": [],
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"id": 1069200123533459500,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:19:34",
"content": "fgs",
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"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:19:39",
"content": "yeah the channels don't get deleted it gets recycled",
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"id": 1069200163257716900,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:19:43",
"content": "why?",
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"id": 1069200183927242800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:19:48",
"content": "wdym recycled",
"attachments": [],
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},
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"id": 1069200192160673800,
"author_id": 806105074312282100,
"author_name": "Olls",
"timestamp": "01/29/2023 05:19:50",
"content": "where",
"attachments": [],
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},
{
"id": 1069200209344741400,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:19:54",
"content": "the channels don't get deleted",
"attachments": [],
"mentions": [],
"reference": null
},
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"id": 1069200246942478500,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:20:03",
"content": "This is @soham channel",
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"id": 1069200252864823400,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:20:05",
"content": "it gets unlocked after sometime for someone else to ask their question",
"attachments": [],
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},
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"id": 1069200367176384500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:20:32",
"content": "@sohamdo you know any result if it doesn't have the multiplication?",
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"author_name": "M8732",
"timestamp": "01/29/2023 05:20:33",
"content": "I mean in your example all 10 of them",
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"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:20:49",
"content": "just 10c1 + 10c2 + 10c3",
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"author_name": "soham",
"timestamp": "01/29/2023 05:20:52",
"content": "2^n if it starts with C0 or 2^n - 1",
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"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:21:02",
"content": "so you go all the way?",
"attachments": [],
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"id": 1069200527948263600,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:21:10",
"content": "but it goes all the way",
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"id": 1069200528950710400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:21:10",
"content": "i thought you stop at a random point lol",
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"id": 1069200538241081300,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:21:13",
"content": "till Cn",
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"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:21:21",
"content": "yeah i need to stop at maximum value",
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"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:21:25",
"content": "aha",
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"id": 1069200601658957800,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:21:28",
"content": "like at 10c5",
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"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:21:37",
"content": "that is what I mean",
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"id": 1069200852465754100,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:22:28",
"content": "yes, i know that formula but i don't really know the derivation of it",
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"id": 1069200912385577000,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:22:42",
"content": "Do you know calculus?",
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"id": 1069200916948987900,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:22:43",
"content": "i was trying to get to that formula using an observation based method and seems i am going right about it",
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"id": 1069200962817884200,
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"author_name": "soham",
"timestamp": "01/29/2023 05:22:54",
"content": "the very basics of derivative and integration",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:22:57",
"content": "if you're picking a sqaud and assign a commander",
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"id": 1069200979263770800,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:22:58",
"content": "it is yet to start",
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"id": 1069201023278776300,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:23:08",
"content": "sufficient",
"attachments": [],
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"author_name": "frownyfrog",
"timestamp": "01/29/2023 05:23:13",
"content": "that's the same as picking a commander and assigning a squad minus 1",
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"id": 1069201098944020500,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:23:26",
"content": "oh I see",
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"author_name": "soham",
"timestamp": "01/29/2023 05:24:06",
"content": "this doubt actually came from a different question i was given to solve,\n\nlet [1, 2, 3, 4, ........., n] be a given set, find the sum of alternating sums of all the subsets",
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"author_name": "soham",
"timestamp": "01/29/2023 05:24:26",
"content": "i used an observation based approach and found out the sum is basically the number of elements in all the subsets",
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"id": 1069201392889233400,
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"author_name": "soham",
"timestamp": "01/29/2023 05:24:36",
"content": "and the subsets follow the pattern of binomial coefficients",
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"id": 1069202084961984500,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:27:21",
"content": "i have a test starting soon, i need to go, sorry",
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"id": 1069202226821746700,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:27:55",
"content": "I could present another derivation with basic calculus and binomial formula",
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{
"id": 1069202239123624000,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:27:58",
"content": "but idk then",
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"id": 1069202369893630000,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:28:29",
"content": "I just realized that you may not know the binomial theorem.",
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"id": 1069202446087360500,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:28:47",
"content": "i do know some part of it",
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"id": 1069202534767526000,
"author_id": 560484031838552060,
"author_name": "soham",
"timestamp": "01/29/2023 05:29:09",
"content": "uh i gotta go now for 3 hours, maybe i shall create another thread when i come back since i think this will be gone by then?",
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"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/29/2023 05:32:50",
"content": "Maybe write me a private message idf you want to see it.",
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 06:29:09",
"content": "@soham Has your question been resolved?",
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"author_id": 753835779582591000,
"author_name": "ruweez",
"timestamp": "01/29/2023 07:10:51",
"content": "uhm hi can someone help me understand how was this solved?",
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"timestamp": "01/29/2023 07:29:09",
"content": "Channel closed",
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}
] | help-9 | 537159f79fab480295015c32530475cd |
201,126 | [
{
"id": 1069232988501573800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 07:30:09",
"content": "Available help channel!",
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},
{
"id": 1069235506556186600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "01/29/2023 07:40:10",
"content": "Prove that $\\lim_{x \\to 0} x\\cos(\\frac{1}{x^3}) = 0$. \\\\\n\nWe need to prove that for every $\\varepsilon > 0$ there exists a $\\delta > 0$ so that whenever $0 < |x| < \\delta$, we have $|x\\cos(\\frac{1}{x^3})| < \\varepsilon$.\n\n$|x\\cos(\\frac{1}{x^3})| = |x||\\cos(\\frac{1}{x^3})| < \\varepsilon$.\n\nWe will bound $|x|$ which in turn will bound $|\\cos(\\frac{1}{x^3})|$.\n\n$|x| < \\frac{1}{2\\pi} \\implies |\\cos(\\frac{1}{x^3})| < 1$. \n\nThus,\n$|x||\\cos(\\frac{1}{x^3})| < |x| < \\varepsilon$ for $|x| < \\varepsilon$. \n\nTo make sure both $|x| < \\frac{1}{2\\pi}$ and $|x| < \\varepsilon$ will hold, we pick $\\delta = \\min(\\frac{1}{2\\pi}, \\varepsilon).$\n\n$\\square$",
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 07:40:10",
"content": "Pinned a message.",
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"content": "",
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"author_name": "Kepe",
"timestamp": "01/29/2023 07:42:09",
"content": "Is this a valid proof?\nDoes this really imply that?",
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"id": 1069236021864181800,
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"author_name": "numbpy",
"timestamp": "01/29/2023 07:42:13",
"content": "Idk if it is good enough but I'd encourage using sandwich theorem to prove this",
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"timestamp": "01/29/2023 07:42:16",
"content": "",
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"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "01/29/2023 07:42:35",
"content": "The squeeze theorem?",
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"timestamp": "01/29/2023 07:42:46",
"content": "yep, that one",
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"author_name": "Kepe",
"timestamp": "01/29/2023 07:43:05",
"content": "That wouldn't be an epsilon delta proof though",
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"timestamp": "01/29/2023 07:43:37",
"content": "true which is why I said \"idk if it is good enough\"",
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"id": 1069236874171908100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "01/29/2023 07:45:36",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 07:45:36",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 52aec2e4fff34cb282733f48b3b9fb5c |
201,127 | [
{
"id": 1069237003146764400,
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"author_name": "chartbit",
"timestamp": "01/29/2023 07:46:07",
"content": "+ you already know that cos is bounded anyway",
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"timestamp": "01/29/2023 07:48:41",
"content": ".reopen",
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},
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"id": 1069237656581578800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 07:48:42",
"content": "✅",
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},
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"timestamp": "01/29/2023 07:49:39",
"content": "$\\cos(\\frac{1}{x^3}) \\leq 1$, but we need a strict less than in order to pick $\\delta$",
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"timestamp": "01/29/2023 07:50:25",
"content": "But I think this might not always be true",
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"content": "There exists some $|x| < \\frac{1}{2\\pi}$ that would make $|\\cos(\\frac{1}{x^3})| = 1$",
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"content": "$\\cos$ will just go over $2\\pi$",
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"content": "Eh, my point is more that you know that $\\left| x \\cos\\left( \\frac{1}{x^{3}} \\right) \\right| \\leq |x|$ already",
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"content": "**chartbit**",
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"content": "Yeah",
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"content": "So forcing |x| to be strictly less than something is enough for the epsilon-delta proof, no?",
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"content": "You don't need here to be strict",
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"content": "$\\left| x \\cos\\left( \\frac{1}{x^{3}} \\right) \\right| \\leq |x| < \\delta$ and $\\left| x \\cos\\left( \\frac{1}{x^{3}} \\right) \\right| < \\epsilon$, so we pick $\\delta = \\epsilon$?",
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"content": "epsilon needs to be greater than |x|, additionally",
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"content": "Wait a second, let me rewrite the proof.",
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"content": "Channel closed",
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] | help-9 | d78c373969144c95babdf4832ebaf43e |
201,128 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 07:59:50",
"content": "Available help channel!",
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"content": "Prove that $\\lim_{x \\to 0} x\\cos(\\frac{1}{x^3}) = 0$. \\\\\n\nWe need to prove that for every $\\varepsilon > 0$ there exists a $\\delta > 0$ so that whenever $0 < |x| < \\delta$, we have $|x\\cos(\\frac{1}{x^3})| < \\varepsilon$.\n\n$|x\\cos(\\frac{1}{x^3})| = |x||\\cos(\\frac{1}{x^3})| \\leq |x| < \\varepsilon$ for $|x| < \\varepsilon$.\n\nWe thus pick $\\delta = \\varepsilon$. \n\n$\\square$",
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"content": "Nice :happyCat: looking good! :catthumbsup:",
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"timestamp": "01/29/2023 08:04:43",
"content": "yup",
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"content": "looks good",
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"content": "Thanks!",
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] | help-9 | db826dca1b6848bdb13132936a049435 |
201,129 | [
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"content": "I did a trapezium",
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"content": "And did pythagoras",
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"content": "And ended up with 8cm",
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"timestamp": "01/29/2023 08:39:32",
"content": "!status",
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"timestamp": "01/29/2023 08:39:33",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"content": "1",
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"content": "it can be done with the trapezium method ig \nOne height is x, other is x/2",
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"content": "Hm",
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"timestamp": "01/29/2023 08:42:10",
"content": "Now what you can try is",
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"timestamp": "01/29/2023 08:42:24",
"content": "you know the radius of the smaller circle is x/2",
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"timestamp": "01/29/2023 08:43:00",
"content": "you can get the area of triangle and add it to the area of the rectangle below it and then use the area of trapezium to calculate the value of x",
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"timestamp": "01/29/2023 08:43:22",
"content": "Area of Trapezium = (1/2) h (a+b)",
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"timestamp": "01/29/2023 08:43:32",
"content": "How i get area of rectangle",
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"content": "a and b are the length of parallel sides/bases of the trapezium\nh is the height or distance between parallel sides",
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"content": "Rectangle sry",
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"timestamp": "01/29/2023 08:44:08",
"content": "$L \\cdot B$",
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"timestamp": "01/29/2023 08:44:11",
"content": "**Shockshwat**",
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"content": "No",
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"content": "Length here is 15 cm",
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"timestamp": "01/29/2023 08:44:22",
"content": "Yeah",
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"timestamp": "01/29/2023 08:44:22",
"content": "Breadth is x/2",
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"timestamp": "01/29/2023 08:44:26",
"content": "How about the width",
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"timestamp": "01/29/2023 08:44:45",
"content": "x/2 cuz its the same as the radius of the smaller circle",
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"timestamp": "01/29/2023 08:45:56",
"content": "How i even calculate 15 x x/2 when x is unknown",
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"timestamp": "01/29/2023 08:46:13",
"content": "you leave it as it is",
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"timestamp": "01/29/2023 08:46:20",
"content": "$\\frac{15x}{2}$",
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"timestamp": "01/29/2023 08:46:23",
"content": "**Shockshwat**",
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"content": "Oh",
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"content": "Then what do i do with 7.5x",
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"content": "dont convert to decimal it just complicates things",
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"content": "15q?",
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"content": "add it to the area of triangle",
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"timestamp": "01/29/2023 08:48:05",
"content": "7.5x = 15 q?",
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"content": "what is 15q",
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"timestamp": "01/29/2023 08:48:27",
"content": "I wrote P=2q",
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"content": "And not x",
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"content": "oh ok",
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"timestamp": "01/29/2023 08:48:53",
"content": "in that case",
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"content": "the smaller radius will be q and the bigger one 2q",
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"timestamp": "01/29/2023 08:49:14",
"content": "so the equation will be 15q",
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"timestamp": "01/29/2023 08:49:15",
"content": "yes",
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"timestamp": "01/29/2023 08:49:23",
"content": "now add 15q to the area of the triangle",
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"timestamp": "01/29/2023 08:49:49",
"content": "Ismt area of triamgle 15x8",
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"timestamp": "01/29/2023 08:50:20",
"content": "no",
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"timestamp": "01/29/2023 08:50:38",
"content": "**Shockshwat**",
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"timestamp": "01/29/2023 08:51:00",
"content": "Oh wait forgot about the /2",
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"timestamp": "01/29/2023 08:51:07",
"content": "yeah",
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"timestamp": "01/29/2023 08:51:18",
"content": "Area of triangle is 60 then isnt it",
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"timestamp": "01/29/2023 08:51:30",
"content": "yep",
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"timestamp": "01/29/2023 08:52:03",
"content": "Wait rectangle is 15x7.5?",
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"timestamp": "01/29/2023 08:52:08",
"content": "no",
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"timestamp": "01/29/2023 08:52:11",
"content": "why would it be",
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"timestamp": "01/29/2023 08:52:14",
"content": "its 15q",
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"timestamp": "01/29/2023 08:52:34",
"content": "you now add the area of rectangle and the triangle",
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"timestamp": "01/29/2023 08:52:39",
"content": "so you get 60 + 15q",
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"timestamp": "01/29/2023 08:52:50",
"content": "Wait is 15q still unknown",
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"timestamp": "01/29/2023 08:52:59",
"content": "yes",
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"timestamp": "01/29/2023 08:53:10",
"content": "we will now form another equation to equation for q",
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"timestamp": "01/29/2023 08:53:12",
"content": "now",
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"timestamp": "01/29/2023 08:53:20",
"content": "you will notice that",
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"timestamp": "01/29/2023 08:53:37",
"content": "adding the area of triangle and rectangle gives the area of trapezium",
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"timestamp": "01/29/2023 08:54:17",
"content": "but we can also find the area of trapezium by this",
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"timestamp": "01/29/2023 08:54:53",
"content": "So if you put the values of h a and b",
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"timestamp": "01/29/2023 08:54:58",
"content": "you get what?",
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"timestamp": "01/29/2023 08:55:47",
"content": "Im lost",
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"timestamp": "01/29/2023 08:55:57",
"content": "where are you stuck",
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"timestamp": "01/29/2023 08:56:04",
"content": "leave 60 + 15q in a corner",
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"timestamp": "01/29/2023 08:56:05",
"content": "At 15q/2",
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"timestamp": "01/29/2023 08:56:23",
"content": "wait how is its 15q/2 now",
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"timestamp": "01/29/2023 08:56:34",
"content": "i thought we agreed on 15q",
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"timestamp": "01/29/2023 08:56:52",
"content": "Where did i get 15q",
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"timestamp": "01/29/2023 08:57:32",
"content": "you got 15q as the area of rectangle\\",
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"timestamp": "01/29/2023 08:58:15",
"content": "What",
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"timestamp": "01/29/2023 08:58:22",
"content": "How",
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"timestamp": "01/29/2023 08:58:45",
"content": "I didnt even find the width of the rectangle",
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"timestamp": "01/29/2023 08:59:15",
"content": "Like 15 cm x ?",
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"timestamp": "01/29/2023 09:01:47",
"content": "you assumed the width to be q",
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"timestamp": "01/29/2023 09:03:01",
"content": "OHHH",
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"timestamp": "01/29/2023 09:03:02",
"content": "",
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"timestamp": "01/29/2023 09:03:04",
"content": "or wait i found a faster method",
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"timestamp": "01/29/2023 09:03:08",
"content": "15xq =15q",
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"timestamp": "01/29/2023 09:03:10",
"content": "2q = q + 8",
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"timestamp": "01/29/2023 09:03:11",
"content": "I get itt",
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"timestamp": "01/29/2023 09:03:16",
"content": "q = 8 cm",
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"timestamp": "01/29/2023 09:03:36",
"content": "So trapezium is",
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"timestamp": "01/29/2023 09:03:45",
"content": "no no need for trapezium",
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"timestamp": "01/29/2023 09:03:50",
"content": "you have the answer already",
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"timestamp": "01/29/2023 09:04:24",
"content": "What happened to 15q",
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"timestamp": "01/29/2023 09:04:29",
"content": "Why 2q all of sudden",
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"timestamp": "01/29/2023 09:04:38",
"content": "check this image",
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"timestamp": "01/29/2023 09:05:16",
"content": "But",
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"timestamp": "01/29/2023 09:05:27",
"content": "Q is a radius?",
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"timestamp": "01/29/2023 09:06:15",
"content": "Is it？",
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"timestamp": "01/29/2023 09:07:49",
"content": "But theres no info that q = 8",
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"timestamp": "01/29/2023 09:08:30",
"content": "we found out q to be 8",
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"timestamp": "01/29/2023 09:08:46",
"content": "How",
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"timestamp": "01/29/2023 09:08:56",
"content": "see the image i sent",
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"timestamp": "01/29/2023 09:09:03",
"content": "radius of the bigger circle is 2q",
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"timestamp": "01/29/2023 09:09:23",
"content": "we found out that some part of 2q is 8 cm by the Pythagoras method",
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"timestamp": "01/29/2023 09:09:35",
"content": "and then we found that the remaining part is q",
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{
"id": 1069258017025040400,
"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "01/29/2023 09:09:37",
"content": "so",
"attachments": [],
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},
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"id": 1069258050814345300,
"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "01/29/2023 09:09:45",
"content": "total length = 8 + q",
"attachments": [],
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},
{
"id": 1069258068635947100,
"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "01/29/2023 09:09:49",
"content": "2q = 8 + q",
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},
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"id": 1069258093889863700,
"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "01/29/2023 09:09:55",
"content": "subtract q from both sides",
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"id": 1069258109744332900,
"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "01/29/2023 09:09:59",
"content": "q=8cm",
"attachments": [],
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},
{
"id": 1069258369224937600,
"author_id": 589345657035423700,
"author_name": "Emerald",
"timestamp": "01/29/2023 09:11:01",
"content": "Hm",
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{
"id": 1069258398014656600,
"author_id": 589345657035423700,
"author_name": "Emerald",
"timestamp": "01/29/2023 09:11:07",
"content": "Why 8+q",
"attachments": [],
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},
{
"id": 1069258410614345700,
"author_id": 589345657035423700,
"author_name": "Emerald",
"timestamp": "01/29/2023 09:11:10",
"content": "Im so comfused",
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},
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"id": 1069258889595457500,
"author_id": 589345657035423700,
"author_name": "Emerald",
"timestamp": "01/29/2023 09:13:05",
"content": "I give up",
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},
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"id": 1069262665337286800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 09:28:05",
"content": "@Emerald Has your question been resolved?",
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"id": 1069266442349990000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 09:43:05",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 1350a20c851649a29765348c57fc83ab |
201,130 | [
{
"id": 1069271225941110800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:02:06",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1069273466244694000,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:11:00",
"content": "Can someone let me know where i went wrong ? The answer doesnt look right",
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"id": 1069273470032171000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:11:01",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1069274198188511200,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:13:55",
"content": "log(a+b) is not equal to loga + logb\nlog(ab) = log(a)+ log(b)",
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},
{
"id": 1069274294607171700,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:14:17",
"content": "Secondly",
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{
"id": 1069274713915924500,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:15:57",
"content": "No offence but, if you know the basic definition of a logarithm, \nln(a) = 8 implies\na = e⁸\nThat is, the logarithm function gives you the power to which the base must be raised to obtain the input.",
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{
"id": 1069275036105580500,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:17:14",
"content": "So technically this would mean, for example, \nTo solve ln(x-3) = 0,\nYou should solve \nx-3 = e⁰ \nx-3 = 1 \nx = 4",
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{
"id": 1069275061162352600,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:17:20",
"content": "Hope this helps",
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},
{
"id": 1069275290766938100,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:18:15",
"content": "ah ok so for my part i would do 4x+3= 1",
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},
{
"id": 1069275312732512300,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:18:20",
"content": "Yes",
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},
{
"id": 1069275320642977800,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:18:22",
"content": "x=-1/2",
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},
{
"id": 1069275338280018000,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:18:26",
"content": "Exactly",
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},
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"id": 1069275381082894500,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:18:37",
"content": "ok thanks",
"attachments": [],
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},
{
"id": 1069275400301187100,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:18:41",
"content": "There is another, but perhaps complicated way to approach this",
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},
{
"id": 1069275518723170300,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:19:09",
"content": "wait no",
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},
{
"id": 1069275526042230900,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:19:11",
"content": "We know that ln(x) has an x intercept at 1",
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},
{
"id": 1069275526373572600,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:19:11",
"content": "isnt it wrong ?",
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},
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"id": 1069275542026735700,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:19:15",
"content": "X cant be a - value",
"attachments": [],
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},
{
"id": 1069275560259367000,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:19:19",
"content": "since its on the right side of the graph",
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},
{
"id": 1069275591133630600,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:19:27",
"content": "No",
"attachments": [],
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},
{
"id": 1069275598758871200,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:19:28",
"content": "It’s right",
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},
{
"id": 1069275655210020900,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:19:42",
"content": "but how come i have a - value",
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},
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"id": 1069275678173843500,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:19:47",
"content": "4x+3 must be pisitive",
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"id": 1069275734700462100,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:20:01",
"content": "X cannot be negative, but if you observe closely the input of the function is 4x + 3",
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"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:20:05",
"content": "Which is positive",
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"id": 1069275813192675300,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:20:20",
"content": "so do i just change it to positive",
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},
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"id": 1069275837838397400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:20:25",
"content": "No",
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"id": 1069275873469026400,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:20:34",
"content": "No",
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{
"id": 1069275878288265300,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:20:35",
"content": "Why would you change it to pisitive",
"attachments": [],
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},
{
"id": 1069275893941403800,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:20:39",
"content": "I think the graph is wrong",
"attachments": [],
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},
{
"id": 1069275978133667800,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:20:59",
"content": "maybe error on the page",
"attachments": [],
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},
{
"id": 1069275993908457600,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:21:03",
"content": "supposed to be 4x-3 ?",
"attachments": [],
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},
{
"id": 1069276011847495700,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:21:07",
"content": "then x would = to 1",
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},
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"id": 1069276022807212200,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:21:10",
"content": "The point of intersection of the axes here is not the origin",
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"id": 1069276059419300000,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/29/2023 10:21:18",
"content": "Maybe it's not to scale",
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},
{
"id": 1069276093347016800,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/29/2023 10:21:26",
"content": "Maybe it’s 4x-3",
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},
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"id": 1069276155506606200,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:21:41",
"content": "hmm ok thanks anyways",
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},
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"id": 1069276173454016500,
"author_id": 344448997194465300,
"author_name": "Nxthan",
"timestamp": "01/29/2023 10:21:45",
"content": ".close",
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},
{
"id": 1069276176411017200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:21:46",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | c184bde81d5b4ceba5be4eb9107dafe5 |
201,131 | [
{
"id": 1069276428853588100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:22:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069278410892918800,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:30:39",
"content": "Is this correct?",
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{
"id": 1069278414344822800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:30:40",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1069278764548239400,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/29/2023 10:32:03",
"content": "Yes",
"attachments": [],
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},
{
"id": 1069278805434310700,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/29/2023 10:32:13",
"content": "No wait",
"attachments": [],
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},
{
"id": 1069278823515955300,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/29/2023 10:32:17",
"content": "- root 35",
"attachments": [],
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},
{
"id": 1069279156615008300,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:33:37",
"content": "-5*-7 = 35",
"attachments": [],
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},
{
"id": 1069279264312135700,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:34:02",
"content": "then why it should be - _/35 ?",
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},
{
"id": 1069280192037671000,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/29/2023 10:37:44",
"content": "minus inside the square root is illegal :thinkies: isn't ?",
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{
"id": 1069280283515441400,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:38:05",
"content": "yes",
"attachments": [],
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},
{
"id": 1069280418752385000,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:38:38",
"content": "not minus?",
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},
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"id": 1069280766409842700,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:40:00",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069280766225301524/00.JPG",
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"id": 1069280841907310700,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:40:18",
"content": "I didn't understand.",
"attachments": [],
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},
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"id": 1069281062573838300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/29/2023 10:41:11",
"content": "because minus inside the square root is illegal",
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"id": 1069281125152858100,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/29/2023 10:41:26",
"content": "you can't split them",
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},
{
"id": 1069281446281363600,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 10:42:43",
"content": "okay, but can I write _/-25 as 5i ?",
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},
{
"id": 1069285222149013600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 10:57:43",
"content": "@Sirius Has your question been resolved?",
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{
"id": 1069286491999711400,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 11:02:46",
"content": "_/-25",
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},
{
"id": 1069286574908514400,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 11:03:05",
"content": "= _/(-1)(25)",
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},
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"id": 1069286665903939700,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "01/29/2023 11:03:27",
"content": "= _/25 i",
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},
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"author_name": "Sirius",
"timestamp": "01/29/2023 11:05:54",
"content": "@Mehdi_Moulati",
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"content": "Nope it's completely fine",
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"content": "$\\sqrt{- 5} \\times \\sqrt{-7} = i\\sqrt{5} \\times i\\sqrt{7} = i^2 \\sqrt{35} = - \\sqrt{35}$",
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"content": "**NEONPerseus**",
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"content": "I think it's just programmed to multiply the two numbers under the root",
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"content": ",w $\\sqrt{-5} \\times \\sqrt{-7}$",
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"timestamp": "01/29/2023 11:30:27",
"content": "Results provided by WolframAlpha",
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"timestamp": "01/29/2023 11:30:31",
"content": "See?",
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"timestamp": "01/29/2023 11:30:51",
"content": "and this",
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"content": "https://discord.com/channels/268882317391429632/486844875632017408/1069280766409842708",
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"content": "Trust Wolfram over MathPapa",
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"content": "Yeah what's the matter with it",
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"content": "No, you know better, I'm new at math, just confused bcz I got three different answers/conditions.",
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"content": "It's all good :p",
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"content": "That definition isn't contradicting anything is it?",
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"timestamp": "01/29/2023 11:32:51",
"content": "but we have both values with minus inside",
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"content": "a,b>=0",
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"timestamp": "01/29/2023 11:33:10",
"content": "Yeah",
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"content": "So that definition doesn't hold",
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"content": "Okay",
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"content": "If it did you would get positive square root of 35",
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"content": "Okay, and is this fine?",
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"content": "https://discord.com/channels/268882317391429632/486844875632017408/1069286491999711384",
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"content": "Yup",
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"content": "If you mean $i\\sqrt{25}$",
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"content": "**NEONPerseus**",
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"content": "yeah i*_/",
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"content": "Oh that's meant to be a square root",
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"timestamp": "01/29/2023 11:36:33",
"content": "5i?",
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"timestamp": "01/29/2023 11:36:58",
"content": "yeah :KEK:",
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"content": "Yup",
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"content": "Okay, many thanks @NEONPerseus @Mehdi_Moulati 👍",
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] | help-9 | 5335881b15d747d8918962b56aaef54b |
201,132 | [
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"content": "-0.6*e^(-0.12t) + 1.5*e^(-0.3t) = 0 \n\nI forgot how to solve this",
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] | help-9 | 4419879ecc0a4359a70eb42d9c637c05 |
201,133 | [
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"id": 1069295933583532000,
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"content": "(1/25)-(4x/25)+(4x/25)",
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"content": "its the bottom question and im stuck",
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"content": "i hate to say just use algebra",
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"content": "but thats what you should do",
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"timestamp": "01/29/2023 11:42:04",
"content": "Yup seems like it",
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"timestamp": "01/29/2023 11:43:05",
"content": "how?",
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"timestamp": "01/29/2023 11:43:28",
"content": "write $2x+5y-1= 0$",
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"content": "**heavy**",
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"content": "then you can equate the equations",
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"timestamp": "01/29/2023 11:43:41",
"content": "since they both must equal 0",
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"timestamp": "01/29/2023 11:43:47",
"content": "so this isn't needed?",
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"timestamp": "01/29/2023 11:43:57",
"content": "thats just 1/25",
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"timestamp": "01/29/2023 11:44:03",
"content": "i dont know what you want to do with that",
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"timestamp": "01/29/2023 11:44:17",
"content": "don't we plug in the equation?",
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"timestamp": "01/29/2023 11:44:29",
"content": "yeah that works too",
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"timestamp": "01/29/2023 11:44:46",
"content": "we can't do it separately as well?",
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"timestamp": "01/29/2023 11:45:02",
"content": "what exactly do you mean by separately?",
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"author_name": "trashcan;)",
"timestamp": "01/29/2023 11:45:34",
"content": "I do 2x+5y-1=0 then the other without pluging in equations?",
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"timestamp": "01/29/2023 11:46:02",
"content": "what do you want to do with 2x+5y-1=0",
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"timestamp": "01/29/2023 11:46:47",
"content": "x^2+5xy-4y^2+10=2x+5y-1",
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"timestamp": "01/29/2023 11:47:06",
"content": "sorry i was confused",
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"timestamp": "01/29/2023 11:47:21",
"content": "yes thats a good way to go about it",
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"timestamp": "01/29/2023 11:48:52",
"content": "where do i start after that?",
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"timestamp": "01/29/2023 11:50:55",
"content": "try solve that equation",
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"timestamp": "01/29/2023 11:51:17",
"content": "using a substition",
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"timestamp": "01/29/2023 11:51:47",
"content": "if $2x+5y-1= 0$ then $y = \\frac{1-2x}{5}$",
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"content": "**heavy**",
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"timestamp": "01/29/2023 11:52:59",
"content": "then won't this be the same as the one I did?",
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"content": "i have no clue what you did",
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"content": "I'm sorry if it's messy",
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"content": "you need to keep using equality signs",
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"timestamp": "01/29/2023 11:56:39",
"content": "also why define a and b if youre not gfoing to use them?",
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"content": "@trashcan;) Has your question been resolved?",
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] | help-9 | 76ee2d17586a45d7860388653d870f4e |
201,134 | [
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"timestamp": "01/29/2023 12:26:36",
"content": "Available help channel!",
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"content": "I need help solving the task above\nthe translated text is:\nFigure 1: A climber with mass m is freely falling in length h until the elastic rope starts to slow the fall where y=0 and t=t_0 = 0 at this point in time the climber has a speed v_0. The rope has a length L and is fixed in the point S, without slack when the climber fell",
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"content": "a) The climber is in free fall until the rope starts to brake the fall. Create a model that is applicable during free fall and create an expression for the speed v_0 when the rope starts to brake the fall. In the question and part question d) will you define the climber as an expression of y so that",
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"timestamp": "01/29/2023 12:37:54",
"content": "**I am quite new to differential equations and dont know where to start, thanks for any help**",
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"content": "@Tarehjerne Has your question been resolved?",
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"content": "open ai and wolfram are my closest companions",
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"timestamp": "01/29/2023 13:23:24",
"content": "@Tarehjerne Has your question been resolved?",
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"timestamp": "01/29/2023 14:23:33",
"content": "@Tarehjerne Has your question been resolved?",
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"timestamp": "01/29/2023 16:23:39",
"content": "@Tarehjerne Has your question been resolved?",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:31:08",
"content": "so a is not so bad right?",
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"timestamp": "01/29/2023 17:31:38",
"content": "@jan Niku You tell me haha, i dont know what they want me to give",
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"timestamp": "01/29/2023 17:32:00",
"content": "well a model for free fall id think would mean without drag",
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"timestamp": "01/29/2023 17:32:18",
"content": "easy, v=sqrt(2*g\\*h)",
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"content": "i could show the math of how to get that as well",
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"timestamp": "01/29/2023 17:32:33",
"content": "ah im thinking like a differential equation",
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"timestamp": "01/29/2023 17:32:39",
"content": "x''=-g",
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"timestamp": "01/29/2023 17:32:40",
"content": "dv/dt = g",
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"timestamp": "01/29/2023 17:32:41",
"content": "something like that",
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"timestamp": "01/29/2023 17:32:49",
"content": "or sure, v'=-g",
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"timestamp": "01/29/2023 17:32:59",
"content": "yeah x''=g thats right",
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"timestamp": "01/29/2023 17:33:20",
"content": "and think id it jumps to d",
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"timestamp": "01/29/2023 17:33:45",
"content": "i first gave it as a diff equation dv/dt = g",
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"timestamp": "01/29/2023 17:33:48",
"content": "o geez",
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"timestamp": "01/29/2023 17:34:09",
"content": "then solved it to get v=sqrt(2gh)",
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"timestamp": "01/29/2023 17:34:14",
"content": "idk if i hvae the focus to read all of that",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:34:17",
"content": "im gonna be totally honest",
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:34:21",
"content": "its basic physics, dont read it",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:34:29",
"content": "i think what theyre saying is like",
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"timestamp": "01/29/2023 17:34:32",
"content": "you have it with no rope",
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"timestamp": "01/29/2023 17:34:36",
"content": "x''=y'=g",
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"timestamp": "01/29/2023 17:34:47",
"content": "then, the rope starts pullin",
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:34:49",
"content": "do they want me to give it in terms of x?",
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"timestamp": "01/29/2023 17:34:51",
"content": "or v?",
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"id": 1069385182177673200,
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:34:55",
"content": "idk",
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"timestamp": "01/29/2023 17:35:02",
"content": "my guess is x",
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"timestamp": "01/29/2023 17:35:10",
"content": "but",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:35:17",
"content": "the rope starts pullin",
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"id": 1069385301526585500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:35:24",
"content": "and you get a nonlinear piece?",
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"timestamp": "01/29/2023 17:35:43",
"content": "actually yeah. its second derivative",
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"timestamp": "01/29/2023 17:35:45",
"content": "uhh",
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:35:47",
"content": "they want it as x",
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"id": 1069385416102400000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:35:51",
"content": "actually im not sure",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:36:11",
"content": "they say $\\dv[2]{y}{t} = v \\dv{v}{y}$ but when",
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"timestamp": "01/29/2023 17:36:12",
"content": "yeah, it becomes a trig function",
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"timestamp": "01/29/2023 17:36:14",
"content": "**jan Niku**",
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"timestamp": "01/29/2023 17:36:21",
"content": "it just occilates up and down indefinietly since no friction",
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"timestamp": "01/29/2023 17:36:28",
"content": "👀",
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"timestamp": "01/29/2023 17:36:30",
"content": "yep",
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"timestamp": "01/29/2023 17:36:35",
"content": "that doesnt fit with the model",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:36:43",
"content": "well, they are hypocites",
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"id": 1069385636664062100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:36:44",
"content": "no im saying is that for normal freefall they want you to use this?",
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"id": 1069385665302757500,
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:36:50",
"content": "no, no A is fine",
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"id": 1069385682247761900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:36:54",
"content": "so this is the second piece",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:36:58",
"content": "Yeah, B",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:37:02",
"content": "x''=g-vv'",
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"id": 1069385721686806700,
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"timestamp": "01/29/2023 17:37:04",
"content": "something like this",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:37:17",
"content": "two v?",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:37:20",
"content": "what is that",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:37:34",
"content": "oh v^2",
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"timestamp": "01/29/2023 17:37:38",
"content": "no",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:37:51",
"content": "oh wait",
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"id": 1069385928658915500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:37:53",
"content": "man what a weird question",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:37:56",
"content": "its not phrased very well",
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"id": 1069385954139320400,
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:37:59",
"content": "no it is not",
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"id": 1069385990017401000,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:38:08",
"content": "not even open ai had a clue",
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"id": 1069386007054647400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:38:12",
"content": "this may be one of those unfortunate times you can only ask for clarification",
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"id": 1069386079045685200,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:38:29",
"content": "Im doing it tomorrow",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:38:34",
"content": "like under what force regime is this true",
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:38:45",
"content": "i'll be in math class with the prof. i hope he will explain",
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"id": 1069386181244112900,
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:38:53",
"content": "my thought would be like",
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"id": 1069386191612416000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:38:56",
"content": "in x''",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:01",
"content": "youre going to have a constant from gravitation",
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"id": 1069386272059174900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:15",
"content": "and then tension will give a force opposite gravity, and proportional to your speed",
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"id": 1069386297136914400,
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"timestamp": "01/29/2023 17:39:21",
"content": "like drag",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:39:25",
"content": "this on b?",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:31",
"content": "im just talking about the whole thing",
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"id": 1069386360319901700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:36",
"content": "if youre falling and theres a bungee attached to you",
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:47",
"content": "there will be some additional piece to the tension though",
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"id": 1069386453680935000,
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:39:58",
"content": "since the force of tension will also depend on how stretched the string is",
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"id": 1069386506508177500,
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:40:11",
"content": "so x''=g-yy' makes sense maybe up to a sign or a translation",
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"id": 1069386520030609400,
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:40:14",
"content": "Right, F=ma with gravity is always active. The force of the rope is proportional to the length of the rope F=(Delta)L*k where k is the spring constant of the rope",
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"timestamp": "01/29/2023 17:40:24",
"content": "idk im bad at physics",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:40:27",
"content": "so m*a=(delta)L\\*k",
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},
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"id": 1069386638540689400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:40:42",
"content": ",w y''=g-yy'",
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"id": 1069386652121841800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/29/2023 17:40:46",
"content": "Results provided by WolframAlpha",
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"id": 1069386669037461500,
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"author_name": "jan Niku",
"timestamp": "01/29/2023 17:40:50",
"content": ":thinkies:",
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"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:41:03",
"content": "thats not helping me haha",
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"id": 1069386759240155100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:41:11",
"content": "yea",
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{
"id": 1069386768568303700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:41:13",
"content": "idk sorry im not sure",
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"id": 1069386798972801200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:41:21",
"content": "y''=g-yy' makes sense to me",
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"id": 1069386856946475100,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:41:34",
"content": "this is not a tricky question i doubt",
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"id": 1069386857101664300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:41:34",
"content": "its not clear, are you supposed to slove this?",
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"id": 1069386913733152900,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:41:48",
"content": "yeah, its \"obligatory homework\"",
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"id": 1069386957643321500,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:41:58",
"content": "cant believe i need that in university, disappointing",
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"id": 1069387131660800000,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:42:40",
"content": "I would be able to solve all of these questions if i had to do it at work or something",
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"id": 1069387186551660500,
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:42:53",
"content": "if a general solution was all which was required, sure easy",
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"id": 1069387222836592900,
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:43:02",
"content": "but i really have no clue what so ever what they want me to do here",
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"id": 1069387244126879900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:43:07",
"content": "nonlinear equations dont tend to have nice solutions",
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},
{
"id": 1069387325588643800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:43:26",
"content": "i think theyre jus tasking for a model",
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},
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"id": 1069387335285883000,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:43:28",
"content": "https://www.math.arizona.edu/~jwatkins/h-ode.pdf",
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},
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"id": 1069387336388972700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:43:29",
"content": "an equation is a model",
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},
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"id": 1069387350448296000,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:43:32",
"content": "its already done",
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},
{
"id": 1069387389249802200,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:43:41",
"content": "im an engineer, if it has been done i just copy",
"attachments": [],
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"id": 1069387428881760300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:43:51",
"content": "ah",
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"id": 1069387436595089500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:43:53",
"content": "well there ya go",
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"id": 1069387486100471800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:44:04",
"content": "i am a mathematician",
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"id": 1069387489850163300,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:44:05",
"content": "except, this is more than likely not what they are after",
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"id": 1069387573958561900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/29/2023 17:44:25",
"content": "idk :thinkies: i think im going to disengage since it doesnt seem clear anymore what the task is",
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"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:44:34",
"content": "thanks for your time anyways",
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"id": 1069387622167871600,
"author_id": 261952052077395970,
"author_name": "Tarehjerne",
"timestamp": "01/29/2023 17:44:37",
"content": "take care",
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"author_id": 261952052077395970,
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"timestamp": "01/29/2023 17:44:38",
"content": ".close",
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"timestamp": "01/29/2023 17:44:39",
"content": "Channel closed",
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] | help-9 | 4b8e45b328974f01a268678a4bcc73d4 |
201,135 | [
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"content": "Available help channel!",
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"id": 1069394378327593100,
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"content": "I got a test on this stuff and I got no clue what to do. If someone could help me that would be awesome thanks",
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"content": "@/eze Has your question been resolved?",
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"content": "@/eze Has your question been resolved?",
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"content": "@/eze Has your question been resolved?",
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"timestamp": "01/29/2023 21:44:12",
"content": "4a) 2/3 cuz 68.2 looks mighty close to 66 and 2/3 = 0.6666666666666\n1/9 cuz 11.3 looks close to 11.1 and 1/9 = 0.111111111111\nB) 4 + 3/20 cuz 1/20 is like 5%, and 16% looks close to 15% which is 3 * 5%, so 16% is about 3 * 1/20\n1 + 4/5 cuz 1/5 of a hundred it 20. And 80 is 4 20s. Therefore 80 is 4 1/5s",
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"content": "@/eze Has your question been resolved?",
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"timestamp": "01/29/2023 22:59:31",
"content": "why doesn't 6.82/10 work LOL",
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] | help-9 | 0399a366dffe4b39952eb24c7eb60c6c |
201,136 | [
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"content": "not too sure how to solve this",
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"content": "i could either solve for A/B or solve for cosA and cosB",
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"content": "leaning towards the second option",
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"content": "sin^2(A) + cos^2(A) = 1",
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"timestamp": "01/29/2023 23:14:21",
"content": "but i can’t think of an identity to do so",
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"content": "ah",
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"content": "i’m dumb lmao",
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"timestamp": "01/29/2023 23:14:31",
"content": "thanks",
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"content": ".close",
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] | help-9 | e1dd7b4346eb4507914499dac1cdb27f |
201,137 | [
{
"id": 1069472829294260200,
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"id": 1069472908470128800,
"author_id": 769034263730847700,
"author_name": "Pharaoh",
"timestamp": "01/29/2023 23:23:31",
"content": "State whether p + (~p ↔ q)\" is tautology, contingency, or contradiction.",
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"content": "Pinned a message.",
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"id": 1069472955857387500,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "01/29/2023 23:23:42",
"content": "what is +",
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"id": 1069472969283354800,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "01/29/2023 23:23:45",
"content": "what does + mean here",
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"content": "i don't know it was the question",
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"id": 1069473115882664000,
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"timestamp": "01/29/2023 23:24:20",
"content": "can we see the question?",
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"id": 1069473126817218600,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "01/29/2023 23:24:23",
"content": "like a picture?",
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"author_name": "Pharaoh",
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"id": 1069473158203187300,
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"author_name": "Pharaoh",
"timestamp": "01/29/2023 23:24:30",
"content": "sending",
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"author_name": "DerpZ",
"timestamp": "01/29/2023 23:24:39",
"content": "wow it really is oplus",
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"id": 1069473199634526300,
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"author_name": "maximo",
"timestamp": "01/29/2023 23:24:40",
"content": "i want to say that that is \"xor\"",
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"author_name": "DerpZ",
"timestamp": "01/29/2023 23:24:41",
"content": "do they define it?",
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"timestamp": "01/29/2023 23:25:09",
"content": "this will be like this if you answer it",
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"timestamp": "01/29/2023 23:25:36",
"content": "**maximo**",
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"timestamp": "01/29/2023 23:25:50",
"content": "Oplus is symmetric difference I think",
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"timestamp": "01/29/2023 23:26:01",
"content": "err",
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"id": 1069473563247120500,
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"author_name": "DerpZ",
"timestamp": "01/29/2023 23:26:07",
"content": "isn't that usually $\\triangle$",
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"author_name": "Pharaoh",
"timestamp": "01/29/2023 23:26:09",
"content": "that is in discrete mathematics",
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"id": 1069473571681882100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/29/2023 23:26:09",
"content": "**active mental mutilation liker**",
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"timestamp": "01/29/2023 23:26:42",
"content": "symmetric difference of propositional variables? so like xor?",
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"timestamp": "01/29/2023 23:27:22",
"content": "ok thankyou i got the answer mwa",
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"timestamp": "01/29/2023 23:27:53",
"content": "that's for sets",
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"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "01/29/2023 23:27:58",
"content": "this is regarding propositional variables",
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"timestamp": "01/29/2023 23:29:08",
"content": "Hmm",
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"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 23:42:22",
"content": "@Pharaoh Has your question been resolved?",
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"id": 1069481430427652100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/29/2023 23:57:23",
"content": "Channel closed",
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] | help-9 | a275d7b0a8f34db4b22417bd884d21e2 |
201,138 | [
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"content": "Available help channel!",
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},
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"id": 1069482318248550400,
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"content": "Pinned a message.",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:02:07",
"content": "Can anyone help me with this? I basically don't know much this unit and I need practice so can you walk me through this and explain it to me like I'm a beginner?",
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"id": 1069482638601093100,
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:02:11",
"content": "@Helpers",
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"id": 1069482683136229400,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:02:21",
"content": "It's due tmr and it's past midnight though",
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"author_id": 806790920770814000,
"author_name": "jay.",
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"timestamp": "01/30/2023 00:11:09",
"content": "use this for 1(a)",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:11:21",
"content": "Ty!",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:11:27",
"content": "I got #1 and I'm doing #2 now",
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"timestamp": "01/30/2023 00:11:31",
"content": "That helped a lot",
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"author_name": "jay.",
"timestamp": "01/30/2023 00:13:39",
"content": "do you need help with it?",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:15:10",
"content": "Yeah",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:15:16",
"content": "I don't know how to find the max value for 2b",
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"id": 1069486119718228000,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/30/2023 00:16:01",
"content": "a cosine value can't be larger than 1 or smaller than -1",
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"id": 1069486276350312400,
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"author_name": "jay.",
"timestamp": "01/30/2023 00:16:38",
"content": "meaning, -1=<cosine(pi/156 t)=<1",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:16:46",
"content": "Yeah",
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"id": 1069486337826238500,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:16:53",
"content": "So you plug in -156?",
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"id": 1069486375335887000,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:17:01",
"content": "To get cos(pi) = -1",
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"id": 1069486409515274200,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:17:10",
"content": "Then you get the max value is 10?",
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"id": 1069486476011782100,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/30/2023 00:17:25",
"content": "yeah",
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"id": 1069486605745782900,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:17:56",
"content": "Can you help with 1c?",
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"id": 1069486646275354600,
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:18:06",
"content": "2c*",
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"id": 1069486660154310700,
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"author_name": "jay.",
"timestamp": "01/30/2023 00:18:09",
"content": "there's also a formula for this:\nif f(x)=Acos(Bx+C)+D\nmax: A+D\nmin: -A+D",
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"timestamp": "01/30/2023 00:18:35",
"content": "well you have the period, the maximum and minum value",
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"content": "Yeah",
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"content": "The period is just how long it takes to finish 1 cycle",
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"timestamp": "01/30/2023 00:19:21",
"content": "yep",
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"timestamp": "01/30/2023 00:19:38",
"content": "you just need to find one point of the graph to sketch the function",
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"content": "Ok",
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"content": "the easiest would be the y intercept",
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"timestamp": "01/30/2023 00:19:51",
"content": "I already know 0, 5.8",
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"timestamp": "01/30/2023 00:19:57",
"content": "Yep",
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"timestamp": "01/30/2023 00:19:58",
"content": "yep good",
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"timestamp": "01/30/2023 00:20:46",
"content": "Ty!",
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"content": "np",
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"timestamp": "01/30/2023 00:21:02",
"content": "Uh so we also know the min and max",
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"timestamp": "01/30/2023 00:21:06",
"content": "What do I do with that",
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"timestamp": "01/30/2023 00:22:32",
"content": "well knowing the max and min means you know the range of the function",
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"timestamp": "01/30/2023 00:23:48",
"content": "Yeah",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:24:01",
"content": "[5.8, 10]",
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"id": 1069488208158658700,
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"timestamp": "01/30/2023 00:24:18",
"content": "yes",
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"timestamp": "01/30/2023 00:25:30",
"content": "Uhh",
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"timestamp": "01/30/2023 00:26:16",
"content": "hmm i'm not sure how to explain this effectively",
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"timestamp": "01/30/2023 00:26:35",
"content": "you can draw a period function with a fixed range, right?",
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"timestamp": "01/30/2023 00:27:46",
"content": "It's fine",
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"timestamp": "01/30/2023 00:27:53",
"content": "Yeah",
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"timestamp": "01/30/2023 00:28:42",
"content": "sorta like this",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:28:56",
"content": "Wait would I just go every period/2 to the next max/min",
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"timestamp": "01/30/2023 00:29:20",
"content": "So we have 0, 5.8",
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"timestamp": "01/30/2023 00:29:43",
"content": "My teacher said the critical value is period/4",
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"timestamp": "01/30/2023 00:29:50",
"content": "So 312/4 = 78",
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"timestamp": "01/30/2023 00:31:25",
"content": "No wait we did our x axis in pi",
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"timestamp": "01/30/2023 00:31:28",
"content": "I'm really confused now lol",
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"timestamp": "01/30/2023 00:31:47",
"content": "does this make sense?",
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"timestamp": "01/30/2023 00:32:08",
"content": "all i did was sketch a period function that has a max of 10, min of 5.8, and a y intercept of 5.8",
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"timestamp": "01/30/2023 00:33:21",
"content": "Yeah",
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"timestamp": "01/30/2023 00:33:24",
"content": "I get that part",
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"timestamp": "01/30/2023 00:33:33",
"content": "now you need to label the x axis",
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"id": 1069490572844355600,
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"timestamp": "01/30/2023 00:33:42",
"content": "using the period",
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"timestamp": "01/30/2023 00:33:43",
"content": "Do we do it in terms of pi",
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"timestamp": "01/30/2023 00:33:56",
"content": "Ok so the period is 312",
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"id": 1069490635083628500,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/30/2023 00:33:57",
"content": "not for this one",
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"id": 1069490714171424900,
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"author_name": "jay.",
"timestamp": "01/30/2023 00:34:16",
"content": "if the period doesn't have a pi in it, you don't need to do it in terms of pi",
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"timestamp": "01/30/2023 00:34:57",
"content": "So in 156, we will have our max",
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"author_id": 306574358262841340,
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"timestamp": "01/30/2023 00:35:01",
"content": "So 156, 10",
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"id": 1069490927204302800,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:35:07",
"content": "Then -156, 10",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:35:19",
"content": "Do I need the middle value or no?",
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"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:35:31",
"content": "I just need the max and min to graph it right",
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"id": 1069491046066696200,
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"timestamp": "01/30/2023 00:35:35",
"content": "yeah",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/30/2023 00:35:45",
"content": "Btw it doesn't have to be entirely correct this is just for practice",
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"timestamp": "01/30/2023 00:35:50",
"content": "I can ask my teacher on tuesday",
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"timestamp": "01/30/2023 00:36:10",
"content": "Tysm",
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"timestamp": "01/30/2023 00:36:31",
"content": "For 3b I got the equation Y = 2cos(pi/12x)",
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"timestamp": "01/30/2023 00:36:35",
"content": "Idk if that's correct",
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"id": 1069491480961487000,
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"timestamp": "01/30/2023 00:37:19",
"content": "uhh",
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"timestamp": "01/30/2023 00:37:58",
"content": "so first, the max and min would be 6.5(m) and -6.5(m)",
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"timestamp": "01/30/2023 00:38:31",
"content": "Oh wait",
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"timestamp": "01/30/2023 00:38:43",
"content": "Y = 6.5cos(pi/12)",
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"timestamp": "01/30/2023 00:38:44",
"content": "also the cycles is 1/2 days so the period would be 1/2",
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"id": 1069491971703459800,
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"timestamp": "01/30/2023 00:39:16",
"content": "the question asks for a graph\"for one complete day\"",
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"id": 1069492059913863200,
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"timestamp": "01/30/2023 00:39:37",
"content": "so shouldn't the unit be one day, not hours?",
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"timestamp": "01/30/2023 00:40:38",
"content": "Oh",
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"timestamp": "01/30/2023 00:40:46",
"content": "You're right",
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"timestamp": "01/30/2023 00:40:54",
"content": "So uh",
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"timestamp": "01/30/2023 00:41:15",
"content": "2pi/b = 0.5",
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"content": "b = 4pi",
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"timestamp": "01/30/2023 00:41:37",
"content": "Y = 6.5cos(4pi * x)",
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"id": 1069493008132743200,
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"timestamp": "01/30/2023 00:43:23",
"content": "seems right",
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"timestamp": "01/30/2023 00:45:55",
"content": "Tysm",
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"timestamp": "01/30/2023 00:46:02",
"content": "np",
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"timestamp": "01/30/2023 01:00:56",
"content": "@Ruler Jowo Has your question been resolved?",
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] | help-9 | 86c0beee5a7a4901bfe8b36c73d4f9cd |
201,139 | [
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"timestamp": "01/30/2023 01:16:56",
"content": "Available help channel!",
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},
{
"id": 1069504772887031800,
"author_id": 235311337238954000,
"author_name": "MegaHarald",
"timestamp": "01/30/2023 01:30:08",
"content": "I have the quite basic question “determine the value of the expression 2x^2-3xy if” and then four separate values I will send a picture of.",
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"content": "Pinned a message.",
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"content": "The value is supposed to be 14",
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"content": "There must be a major fault somewhere",
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"timestamp": "01/30/2023 01:48:00",
"content": "@MegaHarald Has your question been resolved?",
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"timestamp": "01/30/2023 01:48:24",
"content": "Why are you writing + 3 * 4?",
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"content": "You want value of $2 \\cdot (-1)^2 - 3 \\cdot (-1) \\cdot 4$",
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"timestamp": "01/30/2023 01:49:04",
"content": "**ScapeProf**",
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"timestamp": "01/30/2023 01:56:41",
"content": "So if 3xy then its 3 times -1 only not 3 times 4?",
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"content": "Channel closed",
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] | help-9 | 9a178d1e20724b22a905d5f36c13887a |
201,140 | [
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"id": 1069513347361415200,
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"content": ".reopen",
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"content": "✅",
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"id": 1069513400163512300,
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"content": "I figured out a)",
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"id": 1069513421369909400,
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"timestamp": "01/30/2023 02:04:30",
"content": "But the rest is still toast",
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"timestamp": "01/30/2023 02:05:09",
"content": "c) I don’t even know where to begin, both x and y are the square root of 2? I’m not supposed to use a calculator here, maybe my brain is just tired or something?",
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"content": "b) = 20 and c) = 1 supposedly",
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] | help-9 | 4a805e4560ec4835860cfabfd9e3621b |
201,141 | [
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"content": "I feel like I did all of a wrong am I not supposed to take the integral?",
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"content": "which one",
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"content": "@forkspoonfork29 Has your question been resolved?",
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"content": "@Helpers",
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"content": "also how do you find the integral of y/(y+1)",
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"content": "welp I give up",
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"content": ".close",
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] | help-9 | a33798fb405142c6883dc2410096bdc6 |
201,142 | [
{
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{
"id": 1069548179302928400,
"author_id": 803669084637233200,
"author_name": "C U C O",
"timestamp": "01/30/2023 04:22:37",
"content": "{\\displaystyle R_{new}=R_{old}+{\\frac {K}{2}}\\left(W-(L+{\\frac {1}{2}}{\\frac {\\sum _{i}D_{i}}{C}})\\right)}",
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"content": "${\\displaystyle R{new}=R{old}+{\\frac {K}{2}}\\left(W-(L+{\\frac {1}{2}}{\\frac {\\sum {i}D{i}}{C}})\\right)}$",
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"id": 1069548269266550800,
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"content": "**MathIsAlwaysRight**",
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"content": "Thanks",
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"content": ".close",
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] | help-9 | fc9396f66b09449089c02ae45872d0bc |
201,143 | [
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"content": "Just wondering how I can determine whether this converges or diverges",
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"timestamp": "10/31/2022 11:29:54",
"content": "factorize by the most powerful term",
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"id": 1036663334323368000,
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"timestamp": "10/31/2022 11:29:59",
"content": "in numerator and denominator",
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"content": "so here 3n² in the numerator",
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"timestamp": "10/31/2022 11:30:52",
"content": "and sqrt(6n^5) for the denominator",
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"timestamp": "10/31/2022 11:30:56",
"content": "Right",
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"timestamp": "10/31/2022 11:31:09",
"content": "Then I would do a limit comparison test or",
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"timestamp": "10/31/2022 11:31:14",
"content": "yeah",
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"content": "you should get (A\\*n^B)\\*O(1) as your term",
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"content": "and depending on what B is you can decide if it'll converge or not",
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"timestamp": "10/31/2022 11:32:51",
"content": "So I'm stuck as to how to simplify the limit",
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"content": "what what",
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"content": "2 sec",
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"id": 1036664194377990100,
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"timestamp": "10/31/2022 11:33:24",
"content": "Wat",
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"id": 1036664216427438200,
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"author_name": "Raemelia",
"timestamp": "10/31/2022 11:33:29",
"content": "K",
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"id": 1036664431804956700,
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"author_name": "Raemelia",
"timestamp": "10/31/2022 11:34:20",
"content": "I was taught that if that lim up there converges to a number then the series will copy the series I compared it to",
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"timestamp": "10/31/2022 11:37:45",
"content": "that's what i was doing if you're still confused",
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"timestamp": "10/31/2022 11:40:27",
"content": "oh ok",
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"timestamp": "10/31/2022 11:41:10",
"content": "here was my working out",
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"id": 1036666187725152400,
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"timestamp": "10/31/2022 11:41:19",
"content": "but you can use whats in red to answer your question",
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"id": 1036666246562848800,
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"timestamp": "10/31/2022 11:41:33",
"content": "this",
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"content": "is equal to",
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"timestamp": "10/31/2022 11:43:44",
"content": "so do i not have to do this part?",
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"content": "you have to",
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"content": "whats the lim of this",
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"timestamp": "10/31/2022 11:45:21",
"content": "um L",
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"content": "i mean you can be more precise",
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"timestamp": "10/31/2022 11:45:32",
"content": "than saying its finite",
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"content": "what are the limits in the numerator and denominator?",
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"timestamp": "10/31/2022 11:46:26",
"content": "no idea what you're trying to say",
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"content": "can you work out the limit of this?",
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"timestamp": "10/31/2022 11:47:31",
"content": "o wait",
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"timestamp": "10/31/2022 11:47:42",
"content": "i thought you were talking about this oh i see",
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"timestamp": "10/31/2022 11:48:09",
"content": "wouldn't the top be infinity",
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"timestamp": "10/31/2022 11:48:15",
"content": "why?",
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"timestamp": "10/31/2022 11:48:22",
"content": "o nvm",
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"timestamp": "10/31/2022 11:48:25",
"content": "its 2/3n",
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"timestamp": "10/31/2022 11:48:28",
"content": "its badly written",
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"timestamp": "10/31/2022 11:48:29",
"content": "just looked like 2/3 * n",
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"timestamp": "10/31/2022 11:48:29",
"content": "but the n²",
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"timestamp": "10/31/2022 11:48:33",
"content": "is under the fraction",
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"timestamp": "10/31/2022 11:48:44",
"content": "yea its just one",
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"timestamp": "10/31/2022 11:48:51",
"content": "yeah so its 1",
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"timestamp": "10/31/2022 11:49:04",
"content": "so we have lim(an/bn)=1",
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"content": "right?",
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"timestamp": "10/31/2022 11:49:37",
"content": "k i kinda see what you're saying",
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"content": "if we divide both sides byt 3/sqrt(6n)",
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"content": "we have an/bn on the left side",
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"timestamp": "10/31/2022 11:50:16",
"content": "so this simplifies to 3/sqrt6 * infinity which is just divergent",
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"content": "right",
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"content": "no this simplifies to",
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"content": "like if you divide both sides by 3/sqrt(6n)",
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"content": "and are left with this on the right side",
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"timestamp": "10/31/2022 11:54:41",
"content": "i see",
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"timestamp": "10/31/2022 11:54:45",
"content": "so the limit of this is",
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"content": "1",
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"timestamp": "10/31/2022 11:54:56",
"content": "yeah",
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"timestamp": "10/31/2022 11:55:05",
"content": "so since 1 is finite",
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"timestamp": "10/31/2022 11:55:07",
"content": "but why did you write",
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"content": "you can apply your theorem",
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"timestamp": "10/31/2022 11:55:09",
"content": "its divergent",
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"content": "the series is divergent",
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"timestamp": "10/31/2022 11:55:28",
"content": "not this ratio",
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"timestamp": "10/31/2022 11:55:36",
"content": "yeah it was confusing",
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"content": "what i wrote is basically",
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"timestamp": "10/31/2022 11:55:44",
"content": "o wait",
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"timestamp": "10/31/2022 11:55:46",
"content": "yea i see",
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"timestamp": "10/31/2022 11:55:51",
"content": "okok i get it",
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"timestamp": "10/31/2022 11:55:54",
"content": "an>= 1/sqrt(6n)",
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"timestamp": "10/31/2022 11:55:59",
"content": "which is a divergent series",
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"timestamp": "10/31/2022 11:56:12",
"content": "so series of an is also divergent",
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"timestamp": "10/31/2022 11:58:21",
"content": "I see okok",
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"timestamp": "10/31/2022 11:58:41",
"content": "Is there an easy way to figure out what test to apply to a series",
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"timestamp": "10/31/2022 11:58:58",
"content": "Or is it an intuition thing",
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"timestamp": "10/31/2022 12:04:34",
"content": "when evaluating",
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"content": "always factorize by the most powerful term in the numerator and denominator",
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"content": "you'll always have",
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"content": "f(n) * g(n)",
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"content": "with lim(g(n))=1",
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"content": "and then it depends",
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"timestamp": "10/31/2022 12:12:07",
"content": "alr thanks for the help",
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"timestamp": "10/31/2022 12:12:07",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 9cf72e5ddd234dd0b4ca8e1c53f4b8c1 |
201,144 | [
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] | help-9 | 913c342ca0da449d9d04120daeeeeeeb |
201,145 | [
{
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"content": "Available help channel!",
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"content": "Instead going to clean this up by multiplying with reciprical and so on, is this possible to solve with Lhospitals?",
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"content": "since it does give infinity/infinity",
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"content": "so 1 + 1/1 / 1 / 1 , would give 2/1 right? On Lhospital",
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"content": "Correct result is 1 but maybe i do lhospital wrong?",
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"content": "Does that not just equal inf",
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"content": "result is infinity / infinity, but it can be solved to get 1",
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"content": "if cleaned up a bit",
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"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:17:42",
"content": "but since there is 1 trillion way to solve limits, i need a universal key",
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"author_name": "Frosst",
"timestamp": "01/30/2023 05:18:09",
"content": ",w lim x-> infinity [(x+1/x)/(x/x)]",
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"content": "hmm",
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"timestamp": "01/30/2023 05:18:27",
"content": "Results provided by WolframAlpha",
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"id": 1069562241516576800,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:18:29",
"content": "the X down below is dividing everything",
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"timestamp": "01/30/2023 05:18:34",
"content": "not just first x below",
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"timestamp": "01/30/2023 05:18:41",
"content": "i maybe paint wrong",
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"author_name": "Frosst",
"timestamp": "01/30/2023 05:18:45",
"content": "Well",
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"id": 1069562354351751200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:18:56",
"content": "If you give the wrong question you get a wrong answer",
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{
"id": 1069562413239783400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/30/2023 05:19:10",
"content": "so its $\\frac{\\frac{x+1/x}{x}}{x}$?",
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"id": 1069562554722046000,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:19:44",
"content": "yes",
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"id": 1069562565212000300,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:19:47",
"content": "wait no",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:20:15",
"content": "",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/30/2023 05:20:53",
"content": "that is even more different from what you asked first lol",
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"id": 1069562921388089500,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:21:11",
"content": "🤔",
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"id": 1069563022466633900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 05:21:36",
"content": "**Jigglyproff**",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:21:46",
"content": "yes",
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"id": 1069563139668058100,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:22:04",
"content": "Cant use Lhospitals or?",
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"id": 1069563237693128700,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/30/2023 05:22:27",
"content": ",w differentiate ((x+1/x)/x)/x",
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},
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"id": 1069563252897493000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 05:22:31",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1069563320551608400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:22:47",
"content": "Is it not 1",
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},
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"id": 1069563356886859800,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:22:55",
"content": "yes",
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"id": 1069563487421993100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:23:26",
"content": "Wait",
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"id": 1069563643504627700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:24:04",
"content": ",w limit x-> infinity ((x+1/x)/x)/(x)",
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"id": 1069563650949529700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 05:24:05",
"content": "Results provided by WolframAlpha",
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},
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"id": 1069563668519452800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:24:10",
"content": "It’s 0",
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"id": 1069563687846813700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:24:14",
"content": "Cos the top goes to 1",
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"id": 1069563706373058600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/30/2023 05:24:19",
"content": "Then it’s 1/inf",
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"id": 1069563853932859500,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:24:54",
"content": "🤔",
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},
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"id": 1069563881510420500,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:25:00",
"content": "why limits so hard",
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"id": 1069563904394531000,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:25:06",
"content": "i mean my textbook says 1",
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"id": 1069563924673994800,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:25:11",
"content": "and photomaths says 1",
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"id": 1069563952322842600,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/30/2023 05:25:17",
"content": "but i just ask is there a universal way to solve this",
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"timestamp": "01/30/2023 05:25:31",
"content": "since every solution of limits are done in obscure way that I would never get idea to start to solve like that",
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"id": 1069566645720330200,
"author_id": 913475640232149100,
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"timestamp": "01/30/2023 05:35:59",
"content": "but if solved with Lhospital I get 2",
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"timestamp": "01/30/2023 05:36:04",
"content": "is my solution wrong?",
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 05:51:04",
"content": "@Zvonko Rohatinski Has your question been resolved?",
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"timestamp": "01/30/2023 06:06:04",
"content": "Channel closed",
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] | help-9 | 98015d4fd9544d908a4fb8c70075c7bd |
201,146 | [
{
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"content": "Available help channel!",
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{
"id": 1069581102336974800,
"author_id": 594552361649963000,
"author_name": "Miss Fortune Main <3",
"timestamp": "01/30/2023 06:33:26",
"content": "I have this table and I am trying to figure out what f(x) is equal to when x is equal to 1. any ideas?\n(x is on the left, f(x) is on the right)",
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"content": "Pinned a message.",
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"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/30/2023 06:37:02",
"content": "There's a clear trend.\nf(x) = (x)/(x-1) × 100",
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"timestamp": "01/30/2023 06:37:21",
"content": "So technically",
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"timestamp": "01/30/2023 06:37:33",
"content": "f(1) should be ||undefined||",
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"id": 1069582498297827300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/30/2023 06:38:59",
"content": "But, generally speaking, the answer can't be determined from what's given",
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"timestamp": "01/30/2023 06:39:22",
"content": "So yeah I think you're supposed to guess that",
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"timestamp": "01/30/2023 06:39:38",
"content": "where does the *100 come from?",
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"author_id": 504616721915838460,
"author_name": "doctor99268",
"timestamp": "01/30/2023 06:40:31",
"content": "Because you can see that instead of 1.2 it goes to 120",
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"timestamp": "01/30/2023 06:42:29",
"content": "oh i see",
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"timestamp": "01/30/2023 06:43:21",
"content": "i thought the answer when it's at 1 was 100",
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"timestamp": "01/30/2023 06:43:49",
"content": "What's 1/0",
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"author_name": "Miss Fortune Main <3",
"timestamp": "01/30/2023 06:44:02",
"content": "because i was looking at the pattern 0+200 = 200, 50+150= 200 and so on",
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"id": 1069583828278054900,
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"timestamp": "01/30/2023 06:44:16",
"content": "well yea it's undefined",
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"id": 1069583883336699900,
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"timestamp": "01/30/2023 06:44:29",
"content": "but i was just looking at the patterns of numbers",
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"id": 1069584042707660800,
"author_id": 594552361649963000,
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"timestamp": "01/30/2023 06:45:07",
"content": "and when x is 1 then it would just be n + n = 200 or 2n=200 divide both by 2 and n = 100",
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"id": 1069584428252278800,
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"timestamp": "01/30/2023 06:46:39",
"content": "well, ty for the answer though",
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"author_id": 594552361649963000,
"author_name": "Miss Fortune Main <3",
"timestamp": "01/30/2023 06:47:12",
"content": ".close",
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"timestamp": "01/30/2023 06:47:12",
"content": "Channel closed",
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}
] | help-9 | f00aeb2abdd044dfa00f825d6a34f0c8 |
201,147 | [
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"author_name": "Frozen City.",
"timestamp": "01/30/2023 07:11:30",
"content": "When Hien is 25 years old, how old will her turtle be?",
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"author_id": 1066023854830518300,
"author_name": "Frozen City.",
"timestamp": "01/30/2023 07:11:46",
"content": "Anyone what is the ans",
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"author_name": "doctor99268",
"timestamp": "01/30/2023 07:12:10",
"content": "Lmao what?. Any more than that sentence?",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/30/2023 07:12:13",
"content": "any more context?",
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"author_name": "Frozen City.",
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"author_name": "Frozen City.",
"timestamp": "01/30/2023 07:13:15",
"content": "I can't understand",
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"id": 1069591234739450000,
"author_id": 504616721915838460,
"author_name": "doctor99268",
"timestamp": "01/30/2023 07:13:42",
"content": "Can you find the equation of the line using those 3 points @Frozen City.",
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"timestamp": "01/30/2023 07:13:54",
"content": "Well you only need two of them",
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"timestamp": "01/30/2023 07:14:11",
"content": "Well acc you only need 1 of them",
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"content": "I can't understand",
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"author_name": "doctor99268",
"timestamp": "01/30/2023 07:17:07",
"content": "@Frozen City. do you know y = mx + c",
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"author_id": 951190447185875000,
"author_name": "MathIsAlwaysRight",
"timestamp": "01/30/2023 07:20:08",
"content": "You can see that when Hien's age is 6, age of the turtle is 14. And that's all info you need to solve it",
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"author_name": "MathIsAlwaysRight",
"timestamp": "01/30/2023 07:21:20",
"content": "Hien will be 25 in 25-6 years from now (Because his current age is 6, therefore in 19 years he will be 25)",
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"id": 1069593212890660900,
"author_id": 951190447185875000,
"author_name": "MathIsAlwaysRight",
"timestamp": "01/30/2023 07:21:34",
"content": "So just add 25 to the age of turtle",
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"author_id": 1066023854830518300,
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"timestamp": "01/30/2023 07:31:01",
"content": "ok",
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},
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"author_name": "Frozen City.",
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"timestamp": "01/30/2023 07:31:21",
"content": "Tis is too much hard",
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"author_name": "MathIsAlwaysRight",
"timestamp": "01/30/2023 07:37:29",
"content": "Avery buys 15 fishes. She buys A angelfishes, and G goldfishes. So A+G=15, right?",
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"timestamp": "01/30/2023 07:46:22",
"content": "@Frozen City. Has your question been resolved?",
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"timestamp": "01/30/2023 07:50:50",
"content": "Channel closed",
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] | help-9 | 7ac5c1a64f564fcf849aac7001f09b4c |
201,148 | [
{
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"author_name": "babblojipbo",
"timestamp": "01/30/2023 07:56:52",
"content": "help LOL",
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},
{
"id": 1069602121902723200,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 07:56:58",
"content": "find the exact value",
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"id": 1069602245122998300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 07:57:27",
"content": "does the way this expression is written ring any bells to you",
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"id": 1069602383040086000,
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"author_name": "babblojipbo",
"timestamp": "01/30/2023 07:58:00",
"content": "the sin(a+b) =sinAcosB+sinBcosA ?",
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"id": 1069603040384008200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:00:37",
"content": "indeed",
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"id": 1069603081718861800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:00:46",
"content": "should be consistent with your letter case tho",
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"id": 1069603262262685700,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:01:29",
"content": "how do i continue tho",
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"id": 1069603540059820200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:02:36",
"content": "well, if you are going to match your expression to sin(a)cos(b) + cos(a)sin(b)",
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"id": 1069603546850414600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:02:37",
"content": "what are a and b",
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"id": 1069603620468826200,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:02:55",
"content": "a is 5pi/12 b is pi/4",
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{
"id": 1069604001798168700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:04:26",
"content": "okay, good",
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"id": 1069604024027971700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:04:31",
"content": "and now you know that your expression equals sin(a+b)...",
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"id": 1069604307445481600,
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"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:05:39",
"content": "whattt",
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"id": 1069604412131119100,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:06:04",
"content": "sin5pi/12 + sin pi/4",
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},
{
"id": 1069605140698497000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:08:57",
"content": "no...",
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"id": 1069605184050835500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:09:08",
"content": "sin(a+b) is not the same thing as sin(a)+sin(b)!!!",
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"id": 1069605214438572000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:09:15",
"content": "you're overthinking it!!!!!!",
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},
{
"id": 1069605226467819500,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:09:18",
"content": ":sully:",
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{
"id": 1069605292230324200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:09:33",
"content": "it is just sin(5pi/12 + pi/4), and 5pi/12 + pi/4 is a sum of fractions that i am certain you're able to simplify!!!",
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{
"id": 1069605362052898800,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:09:50",
"content": "oh fr?",
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"id": 1069605589468074100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:10:44",
"content": "yes",
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},
{
"id": 1069605680736125000,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:11:06",
"content": "how to continue from sin 2pi/3",
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},
{
"id": 1069606341984919700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/30/2023 08:13:44",
"content": "well, do you know how to calculate sin(2pi/3)?",
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},
{
"id": 1069606385635041300,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:13:54",
"content": "OHHH",
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},
{
"id": 1069606392039735400,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:13:56",
"content": "I GOT IT",
"attachments": [],
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},
{
"id": 1069606400856166500,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:13:58",
"content": "THANK YOU",
"attachments": [],
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},
{
"id": 1069606425208295400,
"author_id": 759399586707013600,
"author_name": "babblojipbo",
"timestamp": "01/30/2023 08:14:04",
"content": "the special angles",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 08:29:04",
"content": "@babblojipbo Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 08:31:42",
"content": "Channel closed",
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}
] | help-9 | 3d83980b1b574e4abc0818c62be80e2c |
201,149 | [
{
"id": 1069613246379720800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 08:41:10",
"content": "Available help channel!",
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},
{
"id": 1069616686531096700,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:54:50",
"content": "@Denascite Relating to our previous question:",
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},
{
"id": 1069616689047679100,
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"timestamp": "01/30/2023 08:54:51",
"content": "Pinned a message.",
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{
"id": 1069616863602016300,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:55:32",
"content": "This seems a bit cheat-y, but can we prove the theorem by using the fact that a non-constant polynomial is continuous everywhere, and that the range of a continuous function on a compact set is also compact?",
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"id": 1069616922318090400,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:55:46",
"content": "This is more of a topological approach, but i have seen some stuff on it online",
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},
{
"id": 1069616962289807400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 08:55:56",
"content": "well you can do topological approaches",
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},
{
"id": 1069617011983913100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 08:56:08",
"content": "but there are a lot of compact sets in C which don't contain 0",
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},
{
"id": 1069617221422301200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:56:58",
"content": "But wait",
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{
"id": 1069617223418789900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 08:56:58",
"content": "if your approach doesn't use properties of polynomials that other functions dont have, it cannot be correct",
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},
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"id": 1069617533818241200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:58:12",
"content": "If a polynomial has no complex roots, then its range must be contained in the real line. But the real line is not a compact set in the complex plane, so the range of a non-constant polynomial cannot be contained in the real line, right? So wouldn't saying that be a better approach to it?",
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"id": 1069617786155966600,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:59:12",
"content": "oh wait thats not right",
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{
"id": 1069617788508983300,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 08:59:13",
"content": "nvm",
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"id": 1069617941026451500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 08:59:49",
"content": "why does its range have to be contained in the real line",
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"id": 1069618220425814100,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:00:56",
"content": "yeah i am being dumb, a non-constant polynomial can have complex values as outputs, and its range can be any subset of the complex plane, or even all of it",
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"id": 1069618358842036200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:01:29",
"content": "alright I guess there is no way to \"cheese\" this. I will do it the standard way",
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"id": 1069618365016064000,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:01:30",
"content": "Thanks!",
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},
{
"id": 1069618369071960200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:01:31",
"content": ".close",
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},
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"id": 1069618372184125600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 09:01:32",
"content": "Channel closed",
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}
] | help-9 | bd1654d45e304e9aaca528d01e68316a |
201,150 | [
{
"id": 1069618468795711600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:01:55",
"content": "yeah I don't know any cheesy proof",
"attachments": [],
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},
{
"id": 1069618549334753300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:02:14",
"content": "I guess you could call the drawing circles proof cheesy",
"attachments": [],
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},
{
"id": 1069618584046796900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:02:22",
"content": "cause it skips over all details",
"attachments": [],
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},
{
"id": 1069618593882452000,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:02:25",
"content": "there is a drawing circles proof?",
"attachments": [],
"mentions": [],
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},
{
"id": 1069618608461840400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:02:28",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069618613264339100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 09:02:29",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069618793170604000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:03:12",
"content": "the rough idea is that if in your input space you run a circle around 0, you also have to do that in your output space",
"attachments": [],
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},
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"id": 1069618926083907600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:03:44",
"content": "or well ok",
"attachments": [],
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},
{
"id": 1069618936854892500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:03:47",
"content": "uhm",
"attachments": [],
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},
{
"id": 1069619064424632400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:04:17",
"content": "it's a bit annoying to write down. let me see if I find a certain video",
"attachments": [],
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},
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"id": 1069619195186266200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:04:48",
"content": "Haha alright",
"attachments": [],
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},
{
"id": 1069619979726639200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:07:55",
"content": "https://youtu.be/lS9AHyACGm8?t=772",
"attachments": [],
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},
{
"id": 1069620105446707200,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:08:25",
"content": "alright i will go through it. Thank you!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069620272224796700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:09:05",
"content": "in the video is of course just a proof sketch but it's by far my favourite proof of the theorem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069620494313214100,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:09:58",
"content": "oh wow i just skimmed through it, this seems kind of fun to do. I will do it on my sketch book too",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069620787591516200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/30/2023 09:11:08",
"content": "yes its a really fun proof",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069620901869527200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/30/2023 09:11:35",
"content": "you can also use liouville’s theorem",
"attachments": [],
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"reference": null
},
{
"id": 1069621922364653600,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:15:38",
"content": "anyways on another note",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069621982213189800,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:15:53",
"content": "What does a holomorphic function on the Riemann sphere really mean?",
"attachments": [],
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"reference": null
},
{
"id": 1069622350389190800,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:17:20",
"content": "and why is it so that all the holomorphic functions on the sphere are constants?",
"attachments": [],
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},
{
"id": 1069622548188381300,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:18:08",
"content": "from what i read, this also goes back to Liouville's theorem, seemingly",
"attachments": [],
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},
{
"id": 1069622604819869700,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:18:21",
"content": "But I am not really understanding the logic behind it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069623638191526000,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:22:27",
"content": "well okay, I will just continue researching i guess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069623641454694400,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "01/30/2023 09:22:28",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069623645380550700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 09:22:29",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | c7a72de1d264408a898b681d1dff2052 |
201,151 | [
{
"id": 1069623896258642000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 09:23:29",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1069624434119430300,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:25:37",
"content": "Hi, so I'm trying to do some calc homework and I know I need to conjugate here but not sure how I'm supposed to multiply them. My main issue is that the square root of x-2 is together and I'm not sure what to do when they're together",
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"timestamp": "01/30/2023 09:25:38",
"content": "Pinned a message.",
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"id": 1069625169871655000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:28:33",
"content": "ideally you'd leave the resultant denominator as is",
"attachments": [],
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},
{
"id": 1069625252855943200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:28:52",
"content": "the goal of using conjugates like this is to cancel out a \"hidden\" factor",
"attachments": [],
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},
{
"id": 1069625362184675300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:29:19",
"content": "try expanding the numerator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069625486478680200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:29:48",
"content": "the expansion is nice since using conjugates is applying the factorisation for the difference of two squares",
"attachments": [],
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},
{
"id": 1069625591650844800,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:30:13",
"content": "So would I instead use the denominator as my conjugate?",
"attachments": [],
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},
{
"id": 1069625665978106000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:30:31",
"content": "no",
"attachments": [],
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},
{
"id": 1069625740041146500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:30:49",
"content": "you've already indicated multiplying by conjugates",
"attachments": [],
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},
{
"id": 1069625760442237000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:30:53",
"content": "> try expanding the numerator",
"attachments": [],
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"reference": null
},
{
"id": 1069625885679964300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:31:23",
"content": "i.e. simplify the\n$$(\\zqrt{x+2} - 3)(\\zqrt{x-2}+3)$$",
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},
{
"id": 1069625932932980700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:31:35",
"content": "oh wait",
"attachments": [],
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},
{
"id": 1069625937697718400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:31:36",
"content": "1 sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069625962330865700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:31:42",
"content": "misread your work",
"attachments": [],
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},
{
"id": 1069626000335450200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:31:51",
"content": "you don't have the correct conjugate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069626051195584500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:32:03",
"content": "you're not supposed to change the sign under the root",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069626084510945400,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:32:11",
"content": "oh really?",
"attachments": [],
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},
{
"id": 1069626193130823700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:32:37",
"content": "from basic definitions, `a+b` and `a-b` are conjugates of each other",
"attachments": [],
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"reference": null
},
{
"id": 1069626279994867800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:32:57",
"content": "here the conjugate of \n$$\\zqrt{x+2} \\red{-} 3$$\nis\n$$\\zqrt{x+2} \\blue{+} 3$$",
"attachments": [],
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"reference": null
},
{
"id": 1069626291629862900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:33:00",
"content": "**ℝamonov**",
"attachments": [
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"id": 1069626385481617500,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:33:22",
"content": "oh okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069626702126399600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:34:38",
"content": "like this?",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069626701878931518/image.png",
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],
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{
"id": 1069626910843359200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:35:28",
"content": "yeh.",
"attachments": [],
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},
{
"id": 1069626940866179100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:35:35",
"content": "simplify the part in blue, leaving the denominator as it is\n$$=\\frac{\\blue{(\\zqrt{x+2} - 3)(\\zqrt{x+2} + 3)}}{(x-7)(\\zqrt{x+2} + 3)}$$",
"attachments": [],
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"reference": null
},
{
"id": 1069626952580858000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:35:38",
"content": "**ℝamonov**",
"attachments": [
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"id": 1069627138354983000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:36:22",
"content": "careful of notation though,",
"attachments": [],
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"reference": null
},
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"id": 1069627156352741500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:36:26",
"content": "",
"attachments": [
{
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"fileName": "image.png",
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},
{
"id": 1069627348162453600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:37:12",
"content": "So when multiplying the square root of x-2 how do I do that? Because I get they're one piece? (I can't remember the phrase) so how would express multiplication?",
"attachments": [],
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"reference": null
},
{
"id": 1069627439787016200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:37:34",
"content": "there is no sqrt of x-2 here",
"attachments": [],
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"reference": null
},
{
"id": 1069627540655853700,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:37:58",
"content": "er x+2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069627552731254900,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:38:01",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069627606695157800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:38:14",
"content": "$k \\cdot \\sqrt{x-2} = k\\sqrt{2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069627617084461200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:38:16",
"content": "**ℝamonov**",
"attachments": [
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"id": 1069627807543607400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:39:02",
"content": "you can even leave the products as they are",
"attachments": [],
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},
{
"id": 1069627901097550000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:39:24",
"content": "e.g. lets say somehow you have no idea what\n2 * 4 is\nyou can leave 2 * 4 as 2 * 4",
"attachments": [],
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},
{
"id": 1069628066030174200,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:40:03",
"content": "wait, what? So just leave it as square root of x+2 multiplied by X+2?",
"attachments": [],
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},
{
"id": 1069628114759602200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:40:15",
"content": "oh for that...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628246431375400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:40:46",
"content": "are you saying that you are unable to simplify that?",
"attachments": [],
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"reference": null
},
{
"id": 1069628280833048600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:40:54",
"content": "do I need to factor it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628291822129200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:40:57",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628310037999700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:41:01",
"content": "don't overthink",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628353058963600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:41:12",
"content": "recall the definition of the square root",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628452560449500,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:41:35",
"content": "so it's just x+2 then?",
"attachments": [],
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},
{
"id": 1069628467076923400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:41:39",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069628485489938600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:41:43",
"content": "oh",
"attachments": [],
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},
{
"id": 1069628560991592400,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:42:01",
"content": "I was confused since they were variable and a constant",
"attachments": [],
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"reference": null
},
{
"id": 1069628657838075900,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:42:24",
"content": "So they're just one unit?",
"attachments": [],
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"id": 1069628674082623600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:42:28",
"content": "wdym",
"attachments": [],
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"id": 1069628798124965900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:42:58",
"content": "$\\sqrt{\\text{this}} \\times \\sqrt{\\text{this}} = \\text{this}$",
"attachments": [],
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"id": 1069628807595688000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:43:00",
"content": "**ℝamonov**",
"attachments": [
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"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:43:21",
"content": "under the square root sign is the x and the +2, I thought I'd have to do something like this",
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"author_name": "ramonov",
"timestamp": "01/30/2023 09:43:29",
"content": "nope, overthinking",
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"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:43:48",
"content": "okay, sorry I have trouble with the simple stuff but then somehow grasp the hard stuff",
"attachments": [],
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"id": 1069629465820414000,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:45:37",
"content": "is this what I want?",
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"id": 1069629615842271200,
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"author_name": "ramonov",
"timestamp": "01/30/2023 09:46:13",
"content": "no",
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"id": 1069629703012499600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:46:33",
"content": "sqrt(x+2) * sqrtt(x+2) = x+2\nNOT sqrt(x+2)",
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"author_name": "ramonov",
"timestamp": "01/30/2023 09:46:54",
"content": "and \n> ideally you'd leave the resultant denominator as is",
"attachments": [],
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"id": 1069629817617645600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:47:01",
"content": "oh okay",
"attachments": [],
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"id": 1069629841781035000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:47:07",
"content": "> the goal of using conjugates like this is to cancel out a \"hidden\" factor",
"attachments": [],
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"id": 1069629872630145200,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:47:14",
"content": "what's a resultant denominator?",
"attachments": [],
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},
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"id": 1069629989642829800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:47:42",
"content": "the denominator as a result of applying conjguates",
"attachments": [],
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},
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"id": 1069630103476261000,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:48:09",
"content": "okay",
"attachments": [],
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},
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:48:44",
"content": "and note that you don't need to tediously expand the numerator like that\n> conjugates is applying the factorisation for the difference of two squares\nand you can use the identity for that",
"attachments": [],
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{
"id": 1069630387397066800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:49:17",
"content": "you should be familiar with\n$$a^2 - b^2 = (a-b)(a+b)$$",
"attachments": [],
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"id": 1069630401871630300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:49:20",
"content": "**ℝamonov**",
"attachments": [
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"id": 1069630432594894800,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:49:27",
"content": "yes",
"attachments": [],
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},
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"id": 1069630593618423800,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:50:06",
"content": "I'm confused though how I apply this? Did I want to use the denominator instead?",
"attachments": [],
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},
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"id": 1069630616481570800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:50:11",
"content": "no",
"attachments": [],
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},
{
"id": 1069630661046051000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:50:22",
"content": "it's like you're not reading what i'm saying",
"attachments": [],
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},
{
"id": 1069630699453296600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:50:31",
"content": "i've quoted what i've said a few times now",
"attachments": [],
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},
{
"id": 1069630735318782100,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:50:40",
"content": "I'm trying, I just can't understand what it means",
"attachments": [],
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},
{
"id": 1069630859361140900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:51:09",
"content": "you recognise that\n> from basic definitions, a+b and a-b are conjugates of each other\nright?",
"attachments": [],
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{
"id": 1069630887001595900,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:51:16",
"content": "yes",
"attachments": [],
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},
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"id": 1069631210931880000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:52:33",
"content": "and similarly you're multiplying by (sqrt(x+2) + 3)/(sqrt(x+2) + 3) because\nthe original expression on the numerator `sqrt(x+2) - 3` and\n`sqrt(x+2) + 3`\nare conjugates right",
"attachments": [],
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},
{
"id": 1069631408764637300,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:53:20",
"content": "yes",
"attachments": [],
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},
{
"id": 1069631652822790300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:54:18",
"content": "$$(a-b)(a+b) = a^2 - b^2$$\n$$(\\underbrace{\\sqrt{x+2}}_{a} - \\underbrace{3}_{b})(\\underbrace{\\sqrt{x+2}}_{a} + \\underbrace{3}_{b}) = ?$$",
"attachments": [],
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},
{
"id": 1069631664185147400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:54:21",
"content": "**ℝamonov**",
"attachments": [
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:54:42",
"content": "note that this is the numerator only",
"attachments": [],
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},
{
"id": 1069631863628513400,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:55:09",
"content": "is it this?",
"attachments": [
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"id": 1069631877574578300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:55:12",
"content": "yes",
"attachments": [],
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},
{
"id": 1069632153853362300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:56:18",
"content": "doing that, you'll have\n$$=\\frac{x+2-9}{(x-7)(\\zqrt{x+2} + 3)}$$\ndoing an additional small step of simplification, you'll recognise that the numerator and denominator have a common factor",
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{
"id": 1069632170949345400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 09:56:22",
"content": "**ℝamonov**",
"attachments": [
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"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:57:41",
"content": "Do I want to foil out like this?",
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"id": 1069632544624103400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:57:51",
"content": "no",
"attachments": [],
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},
{
"id": 1069632575674527900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:57:58",
"content": "i've said this 2 or three times already",
"attachments": [],
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},
{
"id": 1069632660961497100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:58:19",
"content": "don't expand the denominator",
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},
{
"id": 1069632672617463900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:58:21",
"content": "leave it as it is",
"attachments": [],
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},
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"id": 1069632699855278100,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:58:28",
"content": "okay, sorry",
"attachments": [],
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},
{
"id": 1069632743161471000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:58:38",
"content": "simplify the numerator",
"attachments": [],
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},
{
"id": 1069632781564510300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 09:58:47",
"content": "can you simplify the x+2-9",
"attachments": [],
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"id": 1069632905564913800,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:59:17",
"content": "oh",
"attachments": [],
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},
{
"id": 1069633017817075700,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 09:59:44",
"content": "so I'm left with this?",
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"author_name": "ramonov",
"timestamp": "01/30/2023 09:59:54",
"content": "no",
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},
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"id": 1069633165091668000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 10:00:19",
"content": "what happened to the +3",
"attachments": [],
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},
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"id": 1069633256800124900,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:00:41",
"content": "oh right",
"attachments": [],
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},
{
"id": 1069633471259103400,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:01:32",
"content": "and I want to cancel out the (x-7)?",
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"id": 1069633522588991600,
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"author_name": "ramonov",
"timestamp": "01/30/2023 10:01:44",
"content": "yes",
"attachments": [],
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},
{
"id": 1069633588204687400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 10:02:00",
"content": "that's the factor responsible for the indeterminate form",
"attachments": [],
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},
{
"id": 1069633722049122400,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:02:32",
"content": "And then I can just plug in my number for the limit or am I missing a step?",
"attachments": [],
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},
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"id": 1069633900432855200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 10:03:14",
"content": "that's pretty much it,",
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{
"id": 1069633992745304000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 10:03:36",
"content": "ideally you'd be writing the limit at every step until you do,\ni was putting the main focus on manipulating the fraction",
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"id": 1069634142150598700,
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"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:04:12",
"content": "oh okay, thank you so much. and so when annotation I'd rewrite lim of x approaching 7 every step, got it.",
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"id": 1069634547211313300,
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"author_name": "ramonov",
"timestamp": "01/30/2023 10:05:48",
"content": "$$=\\lim_{x\\to 7} \\frac{\\blue{(\\zqrt{x+2} - 3)(\\zqrt{x+2} + 3)}}{(x-7)(\\zqrt{x+2} + 3)}$$\n$$\\dots$$\n$$\\dots$$\n\n$$=\\lim_{x\\to 7} \\frac{1}{\\sqrt{x+2}+3}$$\nthen pluig",
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{
"id": 1069634561207701500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 10:05:52",
"content": "**ℝamonov**",
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"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:06:22",
"content": "yes, okay that makes sense.",
"attachments": [],
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},
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"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:06:43",
"content": "by plugging in my final answer should be 1/6",
"attachments": [],
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"id": 1069634914925936800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/30/2023 10:07:16",
"content": "yes",
"attachments": [],
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},
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"id": 1069635280019140600,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:08:43",
"content": "okay, thank you for your help",
"attachments": [],
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},
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"id": 1069635396075532300,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:09:11",
"content": "I think I can do it on my own with another practice question 🙂",
"attachments": [],
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},
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"id": 1069637023280926800,
"author_id": 490674828181766140,
"author_name": "BarginPrice",
"timestamp": "01/30/2023 10:15:39",
"content": ".close",
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},
{
"id": 1069637027722711000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 10:15:40",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 6b0a1a3727d04fa69899296943c735a3 |
201,152 | [
{
"id": 1069640339750670500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 10:28:49",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1069641155769274500,
"author_id": 377234654408736800,
"author_name": "JJW06",
"timestamp": "01/30/2023 10:32:04",
"content": "Hello, had a quick question",
"attachments": [],
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},
{
"id": 1069641157954519000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 10:32:05",
"content": "Pinned a message.",
"attachments": [],
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"content": "Ended up stating for the question that negative numbers exist from 0 - 20\n= (f(0) - f(3)) = -1 - 3 = -4\n= (f(3) - f(7)) = 3 - 6 = -3\n= (f(7) - f(11)) = 6 - 2 = 4\n= (f(11) - f(20)) = 2 - 5 = -3",
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"content": "Am I on the right track with my answer / math? (justification part not included)",
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"content": "I think you should do it like\nf(3) - f(0) since it is final value minus initial",
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"content": "Forgot to include:",
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"content": "f'(a) = (f(num1) - f(num2))",
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"content": "I had this above",
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"content": "Oh I see what I did wrong",
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"content": "So it would be f(3) - f(0), and so on?",
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"content": "I had it just backwards then",
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"timestamp": "01/30/2023 10:37:24",
"content": "So if the difference is negative between any two points\nThere must be a decrease in the function, thus derivative should be negative in some interval between those two pts",
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"content": "Indeed\nI goofed in my work, so there would be no negative values for the derivative",
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"timestamp": "01/30/2023 10:38:05",
"content": "That would not be the actual value of the derivative, but yes that is how you do the reasoning.",
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"content": "A bit confused\nA derivative cannot be taken since no equation is provided, however, I can find the rate of change and thus the answer to the question",
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"content": "Yes",
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"timestamp": "01/30/2023 10:38:59",
"content": "Got it",
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"content": "That's what I said, you can't find the actual value of the derivative",
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"timestamp": "01/30/2023 10:40:11",
"content": "I do apologize for my incompetence here, just woke up 😄\nI appreciate your help though!\nJust to confirm,",
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"content": "= (f(3) - f(0)) = 3 - -1 = 4\n\n= (f(7) - f(3)) = 6 - 3 = 3\n\n= (f(11) - f(7)) = 2 - 6 = -4\n\n= (f(20) - f(11)) = 5 - 2 = 3",
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"timestamp": "01/30/2023 10:40:25",
"content": "I would have 1 decrease, and thus 1 negative number on the interval",
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"timestamp": "01/30/2023 10:41:16",
"content": "Not one negative number, you don't know the nature of the function in that interval. So technically speaking the values of 'a' would be a subset of the interval (7,11)",
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"timestamp": "01/30/2023 10:42:19",
"content": "Really screwing up here, sorry about that\nThought it only applied to the values on the table, but I see now that its for the range of values",
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"timestamp": "01/30/2023 10:42:26",
"content": "eg. 7 - 11 for the decrease",
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"timestamp": "01/30/2023 10:42:31",
"content": "Yes",
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"timestamp": "01/30/2023 10:42:56",
"content": "It's alright, everyone makes mistakes",
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"timestamp": "01/30/2023 10:43:23",
"content": "Oh, also had one more question if you'd be willing to answer",
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"timestamp": "01/30/2023 10:43:28",
"content": "Sure",
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"timestamp": "01/30/2023 10:44:36",
"content": "Was given this question, and just wanted to make sure I was on the right track with conversions",
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"timestamp": "01/30/2023 10:44:43",
"content": "Wasn't sure how the exponent transferred over",
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"content": "I'm assuming the exponent stays as a modifier to f(t)",
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"timestamp": "01/30/2023 10:45:08",
"content": "I'm sorry, I haven't studied integral calculus yet",
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"content": "Only differential",
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"timestamp": "01/30/2023 10:45:27",
"content": "Ah, that's all good",
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"timestamp": "01/30/2023 10:45:42",
"content": "Maybe ping the helpers?",
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"content": "That would work",
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"timestamp": "01/30/2023 10:45:59",
"content": "Hey, again, thank you so much for your help!",
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"timestamp": "01/30/2023 10:46:31",
"content": ".close",
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"timestamp": "01/30/2023 10:46:32",
"content": "Channel closed",
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] | help-9 | c53d2a51378147dd8cdbe2cebbb4ab5c |
201,153 | [
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"content": "It's alright",
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"content": "Available help channel!",
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"author_name": "BarginPrice",
"timestamp": "01/30/2023 11:22:42",
"content": "Hi, so have a question as to why I got this answer wrong on my homework. I thought I took the correct steps, I applied my f(x)=8x^2 -8x and I made sure to double check my signage since there is a subtraction of a negative. I canceled out my deltax's and then substituted the delta x for zero which zero times any number is zero (obviously) which should have left me with 16x. Did I miss a step?",
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"content": "Pinned a message.",
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"timestamp": "01/30/2023 11:24:15",
"content": "that whole part is f(x + delta x) but for the -8x part you only put in x",
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"timestamp": "01/30/2023 11:24:36",
"content": "it should be:",
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"author_name": "Sooshon",
"timestamp": "01/30/2023 11:24:52",
"content": "$8(x+\\Delta x)^2-8(x+\\Delta x)$",
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"timestamp": "01/30/2023 11:25:12",
"content": "**Sooshon**",
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"timestamp": "01/30/2023 11:25:36",
"content": "so your 8x - 8x canceled out because you didn't have the delta x in the first one",
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"timestamp": "01/30/2023 11:25:55",
"content": "oh, okay that makes sense",
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"timestamp": "01/30/2023 11:26:02",
"content": "let me retry it",
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"content": "I got it thank you, answer was 16x-8",
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"content": ".close",
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] | help-9 | e1210844028b47fba634e4c47e5dac36 |
201,154 | [
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"timestamp": "10/31/2022 12:13:08",
"content": "Available help channel!",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:14:20",
"content": "can someone walk me through how to do this?",
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"timestamp": "10/31/2022 12:15:03",
"content": "Is f a function or variable?",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:15:16",
"content": "variable?",
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"content": "Okay",
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"timestamp": "10/31/2022 12:15:50",
"content": "First get $f^{2}$ to one side",
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"timestamp": "10/31/2022 12:15:53",
"content": "**Tech support**",
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"content": "Do this by moving everything that isnt f to the other side",
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"timestamp": "10/31/2022 12:16:43",
"content": "You want to find f?",
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"timestamp": "10/31/2022 12:16:53",
"content": "yes",
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"timestamp": "10/31/2022 12:16:56",
"content": "Ok",
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:17:01",
"content": "Do what Tech said",
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"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "10/31/2022 12:17:18",
"content": "be careful, if they ask this most likely they dont know algebra or arent at ease with it",
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"timestamp": "10/31/2022 12:17:27",
"content": "Yeah...",
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"author_name": "Benjamin",
"timestamp": "10/31/2022 12:17:41",
"content": "so just saying: move everything is a bit loose",
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:17:44",
"content": "How would you solve x+4=29",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:17:46",
"content": "?",
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"id": 1036675393387778200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:17:54",
"content": "do i -4",
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"id": 1036675405681266700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:17:57",
"content": "Good",
"attachments": [],
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},
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:18:00",
"content": "Do the same here",
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},
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"id": 1036675517149102200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:18:23",
"content": "the square is throwing me off though",
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"id": 1036675534387675300,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:18:27",
"content": "i dont know what to do with that",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:18:35",
"content": "do i square root it?",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:18:41",
"content": "We'll worry abou that later",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:18:45",
"content": "ok",
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:18:49",
"content": "First we -4 on both sides",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:19:10",
"content": "so f^2 = 25",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:19:22",
"content": "what you said-",
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"id": 1036675772389261400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 12:19:24",
"content": "**Master Oogway**",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:19:32",
"content": "yeah that",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:19:33",
"content": "Now",
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"id": 1036675825220714600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:19:37",
"content": "What do we do",
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"id": 1036675829922533500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:19:38",
"content": "?",
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"id": 1036675867331534800,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:19:47",
"content": "square root?",
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"id": 1036675886520471700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:19:51",
"content": "Yes",
"attachments": [],
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:20:05",
"content": "ohh right it gets rid of the squaare",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:20:08",
"content": "im so dumb-",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:20:28",
"content": "so f = 5?",
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"author_name": "Tech support",
"timestamp": "10/31/2022 12:20:43",
"content": "Thats one solution yes",
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"id": 1036676130234699800,
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"author_name": "Tech support",
"timestamp": "10/31/2022 12:20:49",
"content": "But there also exists another",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:20:55",
"content": "oh?",
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"id": 1036676223323087000,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:21:12",
"content": "Ask yourself: what is (-1)^2?",
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"id": 1036676246517600400,
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"timestamp": "10/31/2022 12:21:17",
"content": "-1 squared",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:21:35",
"content": "hm",
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"id": 1036676329812267000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:21:37",
"content": "Remember",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:21:58",
"content": "so should i send in f=25",
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"author_name": "TeXit",
"timestamp": "10/31/2022 12:22:13",
"content": "**Master Oogway**",
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"id": 1036676636784992300,
"author_id": 573543240985215000,
"author_name": "Harald",
"timestamp": "10/31/2022 12:22:50",
"content": "It is | x |",
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"id": 1036676648503881700,
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:22:53",
"content": "Yes",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:23:03",
"content": "ok",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:23:14",
"content": "wait were you talking to me?",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:23:25",
"content": "No",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:23:29",
"content": "oh-",
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"id": 1036676910748540900,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:23:56",
"content": "soooo the answer isnt f = 5?",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:24:00",
"content": "im confused-",
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"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:24:02",
"content": "Its one answer",
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"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:24:05",
"content": "Tha't only part of the answer",
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"timestamp": "10/31/2022 12:24:11",
"content": "There is 1 more",
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"id": 1036677090369609900,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:24:38",
"content": "my teacher only wants one",
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"id": 1036677197978685600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:25:04",
"content": "No he doesn't",
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"id": 1036677277817245800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:25:23",
"content": "That's like saying: my teacher wants me to write 2+2=5",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:25:35",
"content": "lol",
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"author_name": "Tech support",
"timestamp": "10/31/2022 12:25:54",
"content": "When you have x=c, you have one answer\n\nBut with x^2 its two answers\nAnd x^3 three answers\nAnd so on...\n\nBut that isnt very relevant as it is quite advanced to prove and made even harder through the fact some of the solutions dont even exist in the \"normal\" number system",
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:26:31",
"content": "ok, ok you guys are waay too advanced for me",
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:26:38",
"content": "i have no idea what you're talking about",
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"id": 1036677734182682600,
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"author_name": "Tech support",
"timestamp": "10/31/2022 12:27:12",
"content": "The important thing is there is 2 answers",
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"id": 1036677786246582400,
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"timestamp": "10/31/2022 12:27:24",
"content": "Ok",
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"id": 1036677798649147500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:27:27",
"content": "I'll tell you",
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"id": 1036677825845010600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:27:34",
"content": "What's 5*5?",
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"id": 1036677878915543200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:27:46",
"content": "25",
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},
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"id": 1036677897777332400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:27:51",
"content": "Good",
"attachments": [],
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},
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"id": 1036677905536782500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:27:53",
"content": "Whats",
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},
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"id": 1036677935106629600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:28:00",
"content": "(-5)*(-5)",
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},
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"id": 1036677981604696000,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:28:11",
"content": "err 5?",
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"id": 1036678034318704800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:28:23",
"content": "No",
"attachments": [],
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"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:28:31",
"content": "25?",
"attachments": [],
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},
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"id": 1036678218293448700,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:29:07",
"content": "wait",
"attachments": [],
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},
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"id": 1036678235360088200,
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:11",
"content": "Yes",
"attachments": [],
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},
{
"id": 1036678235687227400,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:29:11",
"content": "so my answer is 25",
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"id": 1036678251839488100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:15",
"content": "No",
"attachments": [],
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},
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"id": 1036678278808883300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:22",
"content": "I'm saying",
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"id": 1036678295921627300,
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:26",
"content": "5^2 is 25",
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},
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"id": 1036678305539166200,
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"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:28",
"content": "BUT ALSO",
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"id": 1036678329572536400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:34",
"content": "(-5)^2 is 25",
"attachments": [],
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},
{
"id": 1036678335696212100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:35",
"content": "So?",
"attachments": [],
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"reference": null
},
{
"id": 1036678377123352600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:29:45",
"content": "What are the 2 answers?",
"attachments": [],
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},
{
"id": 1036678444274159600,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:30:01",
"content": "5 and -5",
"attachments": [],
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"reference": null
},
{
"id": 1036678459713400800,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:30:05",
"content": "?",
"attachments": [],
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"reference": null
},
{
"id": 1036678468689211500,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:30:07",
"content": "Good!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036678484640141300,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:30:11",
"content": "YES",
"attachments": [],
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},
{
"id": 1036678500905660500,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:30:15",
"content": "IM A GENIUS",
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},
{
"id": 1036678531079479400,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:30:22",
"content": "lol thank you guys",
"attachments": [],
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},
{
"id": 1036678542244712400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:30:25",
"content": "Np",
"attachments": [],
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},
{
"id": 1036678665238487000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:30:54",
"content": ":catthumbsup:",
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},
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"id": 1036678688869187600,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:30:59",
"content": "If you solve x^2=4 for example, the answers are -2 and 2",
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},
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"id": 1036678756133249000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:31:16",
"content": ":this:",
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},
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"id": 1036678809774198800,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:31:28",
"content": "riiiight",
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},
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"id": 1036678821866377200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:31:31",
"content": "ok",
"attachments": [],
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},
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"id": 1036678853545967700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:31:39",
"content": "But wait",
"attachments": [],
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},
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"id": 1036678893198917800,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:31:48",
"content": "So always remeber the negative and positive root",
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},
{
"id": 1036678920503820300,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:31:55",
"content": "WAIT",
"attachments": [],
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},
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"id": 1036678923406295000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:31:55",
"content": "Whats $\\sqrt{36}$ ?",
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},
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"id": 1036678958663598200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:04",
"content": "my teacher did tell me there are 2 answers",
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{
"id": 1036678985796554800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 12:32:10",
"content": "**Master Oogway**",
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"id": 1036679019548115000,
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"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:18",
"content": "6",
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},
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"id": 1036679044734910600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:32:24",
"content": "Why not -6?",
"attachments": [],
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},
{
"id": 1036679103111249900,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:38",
"content": "its not asking for a negative answer",
"attachments": [],
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},
{
"id": 1036679127467556900,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:44",
"content": "it wants positive",
"attachments": [],
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},
{
"id": 1036679146526482600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:32:49",
"content": "Really?",
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},
{
"id": 1036679160799703000,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:52",
"content": "yes",
"attachments": [],
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},
{
"id": 1036679171998499000,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:32:55",
"content": "i think-",
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"id": 1036679205750051000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:33:03",
"content": "But how is it different from x^2=36?",
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},
{
"id": 1036679295239725200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:33:24",
"content": "it was 2 answers because of the square",
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},
{
"id": 1036679355465728000,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:33:38",
"content": "in that one",
"attachments": [],
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},
{
"id": 1036679380635750500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:33:44",
"content": "Ok",
"attachments": [],
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},
{
"id": 1036679386130292900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:33:46",
"content": "Good",
"attachments": [],
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},
{
"id": 1036679401250771100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:33:49",
"content": "Well done",
"attachments": [],
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},
{
"id": 1036679429163847700,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:33:56",
"content": "thank you, thank you",
"attachments": [],
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},
{
"id": 1036679431177121900,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:33:56",
"content": "One important thing to note",
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},
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"id": 1036679453616644100,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:34:02",
"content": "hm?",
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{
"id": 1036679571371724800,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:34:30",
"content": "i was about to get this wrong if it weren't for you guys",
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},
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"id": 1036679577780637800,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:34:31",
"content": "phew",
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},
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"id": 1036679606859735200,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:34:38",
"content": "Why can you not solve $x^{2}=-4 when you can solve x^{2}=4$?",
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"id": 1036679684521480300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:34:57",
"content": "Put $ after the -4",
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},
{
"id": 1036679714431054000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:35:04",
"content": "After the first one",
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},
{
"id": 1036679748878860300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:35:12",
"content": "And before the second x",
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},
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"id": 1036679751684857900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 12:35:13",
"content": "**Tech support**",
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"id": 1036679755203878900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:35:14",
"content": "Yes",
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},
{
"id": 1036679760379641900,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:35:15",
"content": "oof its time for my ela class",
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{
"id": 1036679896526753900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:35:47",
"content": "Np",
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},
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"id": 1036679916156108800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/31/2022 12:35:52",
"content": "Bye",
"attachments": [],
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},
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"id": 1036679941040898200,
"author_id": 757971959538647000,
"author_name": "Tech support",
"timestamp": "10/31/2022 12:35:58",
"content": "👍",
"attachments": [],
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},
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"id": 1036680141717389300,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:36:46",
"content": "bye guuuys",
"attachments": [],
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},
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"id": 1036680199586193400,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:37:00",
"content": "how do you close it again",
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"id": 1036680221245571200,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:37:05",
"content": "is it (.close)",
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},
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"id": 1036680293333074000,
"author_id": 1034884313302442100,
"author_name": "𝕓𝕚𝕡𝕠𝕝𝕒𝕣",
"timestamp": "10/31/2022 12:37:22",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 12:37:23",
"content": "Channel closed",
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}
] | help-9 | 2e8131c891a3400ea6948244367888fb |
201,155 | [
{
"id": 1069656431713845400,
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 11:32:46",
"content": "Available help channel!",
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},
{
"id": 1069657690982326300,
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"timestamp": "01/30/2023 11:37:54",
"content": "How do I make h the subject",
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{
"id": 1069659178605486200,
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"content": "!status",
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 11:43:41",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"timestamp": "01/30/2023 11:45:10",
"content": "I habe begun but got stuck midway",
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"content": "@Deol",
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"timestamp": "01/30/2023 12:00:22",
"content": "@AyyyyN Has your question been resolved?",
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"timestamp": "01/30/2023 12:15:22",
"content": "Channel closed",
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}
] | help-9 | 0224f7dc273f401f8ac613550dc03ecd |
201,156 | [
{
"id": 1069669625098408100,
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"timestamp": "01/30/2023 12:25:12",
"content": "Available help channel!",
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},
{
"id": 1069670803194532000,
"author_id": 539954846019878900,
"author_name": "Anim",
"timestamp": "01/30/2023 12:29:53",
"content": "how do I simplify this?",
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"timestamp": "01/30/2023 12:29:53",
"content": "Pinned a message.",
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"id": 1069671281772986600,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/30/2023 12:31:47",
"content": "3pi/2 = pi + pi/2, then use sum angle formula for sin and cos",
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"timestamp": "01/30/2023 12:32:25",
"content": "this is an identity",
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"timestamp": "01/30/2023 12:32:36",
"content": "i know",
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"timestamp": "01/30/2023 12:32:49",
"content": "sinAcosB + sinBcosA = sin(A+B)",
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"timestamp": "01/30/2023 12:32:56",
"content": "ohk",
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"timestamp": "01/30/2023 12:33:24",
"content": "but how do i get -cos theta",
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"author_id": 539954846019878900,
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"timestamp": "01/30/2023 12:33:26",
"content": "im so confused",
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"timestamp": "01/30/2023 12:33:30",
"content": ":hmmCat:",
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"author_id": 756527780832870500,
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"timestamp": "01/30/2023 12:33:46",
"content": "because",
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"timestamp": "01/30/2023 12:34:02",
"content": "sin (270+theta)",
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"author_id": 756527780832870500,
"author_name": "eatone_QUBIT",
"timestamp": "01/30/2023 12:34:08",
"content": "wait",
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"id": 1069671885262037000,
"author_id": 756527780832870500,
"author_name": "eatone_QUBIT",
"timestamp": "01/30/2023 12:34:10",
"content": "a second",
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},
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"author_id": 756527780832870500,
"author_name": "eatone_QUBIT",
"timestamp": "01/30/2023 12:35:31",
"content": "is it given that theta is acute or obtuse or any other info?",
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"author_name": "numbpy",
"timestamp": "01/30/2023 12:35:32",
"content": "easier to find out sin(3pi/2) and cos(3pi/2)",
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"timestamp": "01/30/2023 12:35:38",
"content": "Things will simplify",
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"timestamp": "01/30/2023 12:35:59",
"content": "Ohhhhh, I seee",
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"timestamp": "01/30/2023 12:36:09",
"content": "yes this is for an acute case",
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"timestamp": "01/30/2023 12:36:30",
"content": "I mean you can also write 3pi/2 as 2pi - pi/2",
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"timestamp": "01/30/2023 12:36:59",
"content": "So, sin(3pi/2 + theta) = sin(2pi - pi/2 + theta)",
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"timestamp": "01/30/2023 12:37:04",
"content": "this identity only valid for for when theta is an acute angle",
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"timestamp": "01/30/2023 12:37:09",
"content": "it can be obtuse",
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"timestamp": "01/30/2023 12:37:16",
"content": "but not all cases in obtuse",
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"timestamp": "01/30/2023 12:37:44",
"content": "wdym, I just wrote 3pi/2 = 2pi - pi/2?",
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"timestamp": "01/30/2023 12:38:02",
"content": "what",
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"timestamp": "01/30/2023 12:38:08",
"content": "yea",
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"timestamp": "01/30/2023 12:38:12",
"content": "thats another way",
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"author_name": "Anim",
"timestamp": "01/30/2023 12:38:31",
"content": "im still confused on how to get -cos",
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"timestamp": "01/30/2023 12:38:34",
"content": "Since sin is 2pi periodic, it would get removed",
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"timestamp": "01/30/2023 12:38:48",
"content": "Are you paying attention?",
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"timestamp": "01/30/2023 12:38:52",
"content": "I am",
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"timestamp": "01/30/2023 12:39:00",
"content": "sin(3pi/2 + theta) = sin(2pi - pi/2 + theta)",
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"timestamp": "01/30/2023 12:39:10",
"content": "Is that understandable ?",
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"id": 1069673373568880800,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/30/2023 12:40:05",
"content": "$\\sin(\\frac{3pi}{2} + \\theta) = \\sin(2 \\pi - \\frac{\\pi}{2} + \\theta)$",
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"id": 1069673408616480900,
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"timestamp": "01/30/2023 12:40:14",
"content": "yes i get it",
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"id": 1069673432788242600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 12:40:19",
"content": "**numbpy**",
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"timestamp": "01/30/2023 12:40:20",
"content": "then you remove 2pi",
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"timestamp": "01/30/2023 12:40:29",
"content": "yep",
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"author_name": "Anim",
"timestamp": "01/30/2023 12:40:34",
"content": "but how to multiplify them together and simplify?",
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"author_id": 362794394887127040,
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"timestamp": "01/30/2023 12:41:04",
"content": "multiply them together??",
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"id": 1069673735075930200,
"author_id": 362794394887127040,
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"timestamp": "01/30/2023 12:41:32",
"content": "$\\sin(2 \\pi - \\frac{\\pi}{2} + \\theta) = \\sin( - \\frac{\\pi}{2} + \\theta)$",
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"id": 1069673744714432500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 12:41:34",
"content": "**numbpy**",
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"author_name": "numbpy",
"timestamp": "01/30/2023 12:41:48",
"content": "Do you understand this?",
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"id": 1069673814193098900,
"author_id": 539954846019878900,
"author_name": "Anim",
"timestamp": "01/30/2023 12:41:50",
"content": "yes",
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"timestamp": "01/30/2023 12:42:00",
"content": "how to turn this into -cos?",
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"timestamp": "01/30/2023 12:42:04",
"content": "Okay for the final part",
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"id": 1069673920640327800,
"author_id": 362794394887127040,
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"timestamp": "01/30/2023 12:42:16",
"content": "Do you know that sin is an odd function?",
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"timestamp": "01/30/2023 12:42:34",
"content": "cos and sin are odd right",
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"timestamp": "01/30/2023 12:42:35",
"content": "which means sin(-x) = -sin(x)",
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"timestamp": "01/30/2023 12:42:43",
"content": "no, cos is even",
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"timestamp": "01/30/2023 12:42:53",
"content": "which one is the other odd",
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"id": 1069674137418727400,
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"timestamp": "01/30/2023 12:43:07",
"content": "oh wait",
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"id": 1069674151306084400,
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"timestamp": "01/30/2023 12:43:11",
"content": "i understand now",
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"timestamp": "01/30/2023 12:43:30",
"content": "$\\sin( - \\frac{\\pi}{2} + \\theta) = \\sin( - (\\frac{\\pi}{2} - \\theta)) = - \\sin( \\frac{\\pi}{2} - \\theta)$",
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"id": 1069674242209239200,
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"timestamp": "01/30/2023 12:43:32",
"content": "**numbpy**",
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"timestamp": "01/30/2023 12:43:51",
"content": "thank you",
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"id": 1069674345217151000,
"author_id": 539954846019878900,
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"timestamp": "01/30/2023 12:43:57",
"content": "👍",
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"id": 1069674369330196600,
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"timestamp": "01/30/2023 12:44:03",
"content": "most active math helper",
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"timestamp": "01/30/2023 12:44:05",
"content": ".close",
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"timestamp": "01/30/2023 12:44:06",
"content": "Channel closed",
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] | help-9 | 348d86f53dd54747aba70891968f6698 |
201,157 | [
{
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"author_name": "Anim",
"timestamp": "01/30/2023 12:44:57",
"content": "@numbpy also quick tip, since you like helping others so much, you can just state the identity/formula name",
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"id": 1069674633277743100,
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"timestamp": "01/30/2023 12:45:06",
"content": "because most times people are confused on what tools to use",
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"content": "Available help channel!",
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"timestamp": "01/30/2023 12:47:26",
"content": "Pinned a message.",
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"timestamp": "01/30/2023 12:50:19",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"timestamp": "01/30/2023 12:51:15",
"content": "i need this answer, can u help me out",
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"content": "use area of the big circle (known radius), find radius of little circle (using diagonal of the whole thing as a square \\ pythagoras etc, you can get area between square and big circle, divide by 4 to get just one of the \"corner areas\" and then subtract the little circle's area",
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"content": "this is probably the least obvious thing, you can use that right triangle and the fact that its diagonal is one large radius (5) + 2 small radii to get the little radius, everything else should be pretty straightforward",
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"content": "and i need blue area answer",
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"content": "diameter of the small circle is less than that",
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"content": "this is the extra part that you haven't accounted for",
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"content": "i dont know how to do it, can u just solve this and share here. i will undestand",
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"content": "Starting by defining the variables might be helpful first, maybe r for the radius and x for the red part that I sent. Then you'll need to find 2 equations (That involve r and x) to find what r and x are.\n\nTry to find them yourself (hint: pythagoras and similar triangles)",
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"content": "now i dont have time. can u say answer or close this",
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"content": "that's a wrong way to math, but okay... wait",
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"timestamp": "01/30/2023 13:32:43",
"content": "first find area of this square",
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"content": "then subtract the area of quadrant and the small circle that comes within it",
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"content": "@Sneecy Has your question been resolved?",
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] | help-9 | ae7b1f93976a4b0ea81b8bab89de51f9 |
201,158 | [
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] | help-9 | 4e2e0cb669854c6abf8b20c9eee1e4b5 |
201,159 | [
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"content": "sooooo any idea why i have written f(×) = |×|/x",
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"content": "The magnitude of x over x is either 1 or -1",
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"content": ".....",
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"author_name": "Fluttery",
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"content": "x over x?",
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"content": "If x is negative e.g -5 then your function returns 5/-5= -1, if x is positive e.g 2 then it returns 2/2=1",
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"content": "And you specified it was 0 for x=0",
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"content": "OOOOHHHHHH",
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"author_name": "Azo",
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"content": "Which is what the graph shows also",
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"content": "omg",
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"content": "yes",
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"content": "i understood the graph",
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"content": "thank you",
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"content": ".close",
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] | help-9 | 85569b0b82734ccf999a16a9fccc4806 |
201,160 | [
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"content": "i claimed this",
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"author_name": "♘ Kodight ♞",
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"content": "oh my bad",
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"content": "np",
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"content": "This plz",
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"content": "I get it but at the same time it confuses me on how its set out",
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"content": ".close",
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201,161 | [
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201,162 | [
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{
"id": 1069715701931196500,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 15:28:17",
"content": "can someone help",
"attachments": [],
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"reference": null
},
{
"id": 1069717479812780000,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 15:35:21",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069721255525224600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 15:50:21",
"content": "@-43- Has your question been resolved?",
"attachments": [],
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"discriminator": "5818",
"nickname": "-43-",
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},
{
"id": 1069725194366763000,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 16:06:00",
"content": "forget it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069725200406552700,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 16:06:02",
"content": ".clsoe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069725208358945000,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 16:06:04",
"content": ".close'",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069725217183780900,
"author_id": 421498604663078900,
"author_name": "-43-",
"timestamp": "01/30/2023 16:06:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069725220144951400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:06:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 1a52e8479b26445887b9516649b3d976 |
201,163 | [
{
"id": 1069725472784662700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:07:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069726473063243800,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:11:05",
"content": "",
"attachments": [
{
"id": 1069726472853536800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069726472853536789/why.png",
"fileName": "why.png",
"fileSizeBytes": 86353
}
],
"mentions": [],
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},
{
"id": 1069726476267700400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:11:06",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1069726473063243800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1069726565279203300,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:11:27",
"content": "",
"attachments": [
{
"id": 1069726565048537200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069726565048537178/why.png",
"fileName": "why.png",
"fileSizeBytes": 49744
}
],
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},
{
"id": 1069726587597111300,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:11:33",
"content": "What did i do wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069726651673493600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/30/2023 16:11:48",
"content": "How did you get those?",
"attachments": [],
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"reference": null
},
{
"id": 1069726767104933900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:12:15",
"content": ",calc 4*cos(30)",
"attachments": [],
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},
{
"id": 1069726768853946400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 16:12:16",
"content": "Result:\n```\n0.61700579955034\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069726794380484600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:12:22",
"content": "your calculator is on radians, not degrees",
"attachments": [],
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"reference": null
},
{
"id": 1069727018851238000,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:13:15",
"content": "oh",
"attachments": [],
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"name": "Toby",
"discriminator": "2275",
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},
{
"id": 1069727077672165400,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:13:29",
"content": "umm how do i know when do i use degrees or radians",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727203807461400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:13:59",
"content": "it depends on the calc (look it up in the manual), but usually it would say r or d at the top of the screen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727322829230100,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:14:28",
"content": "ok tysm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727375580987400,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:14:40",
"content": "so the answer would be 3.4641 m?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727425782620300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:14:52",
"content": ",calc 4*cos(30deg)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727440265560000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 16:14:56",
"content": "Result:\n```\n3.4641016151378\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727462159818800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:15:01",
"content": "yeah",
"attachments": [],
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"isBot": false
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{
"id": 1069727568179245200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:15:26",
"content": "but 30 is a special angle, so maybe it also wants you to say it in exact form",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727643429261400,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:15:44",
"content": "it worked",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727648445640800,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:15:45",
"content": "ty",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727812979793900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/30/2023 16:16:25",
"content": "np",
"attachments": [],
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"reference": null
},
{
"id": 1069727839085134000,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "01/30/2023 16:16:31",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069727842260222000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:16:32",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | db70ae36fc2b41e8bdbb32afc779c79e |
201,164 | [
{
"id": 1069731144540639200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:29:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069733218728812500,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:37:54",
"content": "Hey, I have a question:\nHow do I build an integral from 0 to π/2 of 1/√1+x²?\nWe're supposed to substitute x with sinh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069733220951785600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:37:54",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1069733218728812500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1069735027224625300,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:45:05",
"content": "What are we doing wrong? Cause this doesn't make much sense",
"attachments": [
{
"id": 1069735026972958800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069735026972958823/IMG-20230130-WA0014.jpg",
"fileName": "IMG-20230130-WA0014.jpg",
"fileSizeBytes": 151160
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},
{
"id": 1069736134806098000,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:49:29",
"content": "it makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736208994947100,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:49:46",
"content": "you get the integrasl of 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736239403638900,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:49:54",
"content": "and after resubstitution asinh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736341627228200,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:50:18",
"content": "Arguably this is a bit more work than necessary because you can just recognize the derivative of asinh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736681323892900,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:51:39",
"content": "Okayyy but I just noticed didn't we accidentally derive sinh²(t) wrong? I'm tired so maybe I'm imagining things",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736794201018400,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:52:06",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736816246268000,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:52:11",
"content": "at no point did you derivate that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736890607075300,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:52:29",
"content": "Oh fair enough",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736935163179100,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:52:40",
"content": ",wolf derivative asinh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069736952850563100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 16:52:44",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069737040482156700,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:53:05",
"content": "recall, it is the same as without the h but + and - sdwapped",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069737140537262100,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:53:29",
"content": "Oh okay, thanks that's a big help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069737266941022200,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "01/30/2023 16:53:59",
"content": "you are welcome",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069737300700966900,
"author_id": 344032283298234400,
"author_name": "TheMountainGuy",
"timestamp": "01/30/2023 16:54:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069737303477592000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:54:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | b7092d7af655432eb3d7c210739ae911 |
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