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"id": 951976660629073900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 17:55:22",
"content": "Available help channel!",
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"id": 951978673341345900,
"author_id": 912228383860097000,
"author_name": "Nixolas",
"timestamp": "03/11/2022 18:03:22",
"content": "can i get help here",
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"timestamp": "03/11/2022 18:03:23",
"content": "Pinned a message.",
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"id": 951978848587751400,
"author_id": 912228383860097000,
"author_name": "Nixolas",
"timestamp": "03/11/2022 18:04:04",
"content": "the critical points i got were 0,1,-1 in which all resulted to 0 so i used -4 and 3 (given)",
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"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 18:19:04",
"content": "@Nixolas Has your question been resolved?",
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"id": 951982989435343000,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:20:31",
"content": "@Helpers",
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"id": 951983880330702800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/11/2022 18:24:04",
"content": "show your work",
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"id": 951985458701815800,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:30:20",
"content": "",
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"id": 951985659076280300,
"author_id": 912228383860097000,
"author_name": "Nixolas",
"timestamp": "03/11/2022 18:31:08",
"content": ">> only 0,1,-1 makes it 0",
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"id": 951985936248492200,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:32:14",
"content": "got me $-20^{\\frac{2}{3}}$",
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"id": 951985947145277400,
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"author_name": "TeXit",
"timestamp": "03/11/2022 18:32:16",
"content": "**Hecker**",
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"id": 951986004821180400,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:32:30",
"content": "at -4",
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"id": 951986099939577900,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:32:53",
"content": "i also tried $-\\left(\\left(3\\right)^2-\\left(3\\right)\\right)^{\\frac{2}{3}}$",
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"id": 951986109209018500,
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"timestamp": "03/11/2022 18:32:55",
"content": "**Hecker**",
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"id": 951986179631362000,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:33:12",
"content": "it got me $-6^{\\frac{2}{3}}$",
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"id": 951986190922449000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/11/2022 18:33:14",
"content": "**Hecker**",
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"id": 951986255573446700,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:33:30",
"content": "but it says wrong for some reason",
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"id": 951988588445315100,
"author_id": 912228383860097000,
"author_name": "Nixolas",
"timestamp": "03/11/2022 18:42:46",
"content": "@Helpers",
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"id": 951989009196937200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/11/2022 18:44:26",
"content": "the derivative is right, the next step is wrong.",
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"author_name": "riemann",
"timestamp": "03/11/2022 18:44:58",
"content": "write it out like $\\frac{(-2/3) \\cdot (2x-1)}{(x^2-x)^{1/3}}$",
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"timestamp": "03/11/2022 18:45:01",
"content": "**riemann**",
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"id": 951990492608995500,
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"timestamp": "03/11/2022 18:50:20",
"content": "okat",
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"id": 951990499269550100,
"author_id": 912228383860097000,
"author_name": "Nixolas",
"timestamp": "03/11/2022 18:50:22",
"content": "y",
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"id": 951990772767543400,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:51:27",
"content": "but still i have to make (2x-1) = 0",
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"id": 951990815125831800,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:51:37",
"content": "and i cant",
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"id": 951991075998937100,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 18:52:39",
"content": "so once again i had to use the given intervals",
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"id": 951991111277236200,
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"timestamp": "03/11/2022 18:52:48",
"content": "@Helpers",
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"id": 951992576355991600,
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"author_name": "riemann",
"timestamp": "03/11/2022 18:58:37",
"content": "why not?",
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"id": 951992680508977200,
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"author_name": "riemann",
"timestamp": "03/11/2022 18:59:02",
"content": "Do you know what interval [-4, 3] means?",
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"id": 951993259343872000,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:01:20",
"content": "what?",
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"timestamp": "03/11/2022 19:02:17",
"content": "why can't you solve for x in (2x-1) = 0 ?",
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"id": 951993584461176800,
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"author_name": "riemann",
"timestamp": "03/11/2022 19:02:37",
"content": "and do you understand what \"over the interval [-4, 3]\" means?",
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"id": 951993616585347100,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:02:45",
"content": "no",
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:03:00",
"content": "so 1/2?",
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"id": 951993705164857300,
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"author_name": "riemann",
"timestamp": "03/11/2022 19:03:06",
"content": "[-4, 3] is notation for all values $x$ such that $ -4 \\le x \\le 3$",
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"timestamp": "03/11/2022 19:03:09",
"content": "**riemann**",
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"timestamp": "03/11/2022 19:03:44",
"content": "so yes $x = 1/2$ is in the interval $[-4, 3]$ because $-4 \\le 1/2$ AND $ 1/2 \\le 3$",
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"timestamp": "03/11/2022 19:03:46",
"content": "**riemann**",
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:04:38",
"content": "so i should plug in 1/2 to the original formula",
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"timestamp": "03/11/2022 19:05:43",
"content": "like this $-\\left(\\left(\\frac{1}{2}\\right)^2-\\left(\\frac{1}{2}\\right)\\right)^{\\frac{2}{3}}$",
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"id": 951994421619064800,
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"author_name": "riemann",
"timestamp": "03/11/2022 19:05:57",
"content": "do you understand why?",
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"id": 951994482218393600,
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"author_name": "TeXit",
"timestamp": "03/11/2022 19:06:11",
"content": "**Hecker**",
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"id": 951994504733413500,
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:06:17",
"content": "$-\\frac{1}{4^{\\frac{2}{3}}}$",
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"id": 951994516234186900,
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"timestamp": "03/11/2022 19:06:19",
"content": "**Hecker**",
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"author_name": "Nixolas",
"timestamp": "03/11/2022 19:06:26",
"content": "cause its in between?",
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"timestamp": "03/11/2022 19:06:40",
"content": "nope",
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"author_name": "riemann",
"timestamp": "03/11/2022 19:06:58",
"content": "You solved for x in $f'(x) = 0$",
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"timestamp": "03/11/2022 19:07:00",
"content": "**riemann**",
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"timestamp": "03/11/2022 19:07:25",
"content": "Let's call it $a$, so $f'(a) = 0$",
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"timestamp": "03/11/2022 19:07:28",
"content": "**riemann**",
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"timestamp": "03/11/2022 19:07:44",
"content": "oh boy",
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"timestamp": "03/11/2022 19:07:46",
"content": "Plugging that back into $f(x)$ tells you the local minimum or maximum",
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"timestamp": "03/11/2022 19:07:48",
"content": "**riemann**",
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"timestamp": "03/11/2022 19:10:04",
"content": "oh it's a local min",
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"timestamp": "03/11/2022 19:10:55",
"content": "go back and check when the denominator equals zero separately.",
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"timestamp": "03/11/2022 19:14:17",
"content": "$\\:\\frac{\\left(-2/3\\right)}{\\left(\\frac{1}{2}^2-\\frac{1}{2}\\right)^{1/3}}$",
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"timestamp": "03/11/2022 19:14:21",
"content": "**Hecker**",
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"content": "$=\\frac{2\\sqrt[3]{4}}{3}$",
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"content": "**Hecker**",
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"content": "i dont think theres a 0 for this one",
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"content": "i cant find a value that gives me 0 for both",
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"content": "I mean solve for where the denominator is zero here. Then plug that into f",
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"content": "but if the denominator its not a real number??",
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"content": "I don't understand",
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"content": "?",
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"timestamp": "03/11/2022 19:30:18",
"content": "irrational number ?",
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"timestamp": "03/11/2022 19:30:19",
"content": "or what",
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"content": "yeah",
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"timestamp": "03/11/2022 19:32:56",
"content": "round it",
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"timestamp": "03/11/2022 19:34:55",
"content": "okay so $x^2-x = 0, if , x=1,0$",
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"content": "**Hecker**",
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"content": "x^2-x=x",
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"content": "what is the question",
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"timestamp": "03/11/2022 19:37:16",
"content": "plug these into f and see if they're max/mins",
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"timestamp": "03/11/2022 19:40:03",
"content": "its gonna be 0 no matter what",
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"content": "right",
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"content": "so does your function have maxima or minima there?",
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"content": "it does have min yes",
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"content": "this",
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"timestamp": "03/11/2022 19:52:06",
"content": "@Helpers could it be 0?",
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"timestamp": "03/11/2022 19:53:55",
"content": "You still haven't checked 0 and 1 for max/min",
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"timestamp": "03/11/2022 19:54:12",
"content": "Oh right here",
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"content": "nvm i got it its 0",
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"content": "0,1 =x",
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"content": "0 is both the x and y value",
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"timestamp": "03/11/2022 19:54:35",
"content": "And 1 is the other x value",
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"timestamp": "03/11/2022 19:59:30",
"content": ".close",
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] | help-10 | 952910e40b0143f5929f26ea68209d9c |
118 | [
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"content": "I can solve a summation with i^2 in it like this",
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"content": "but how do I factor out the other elements in this case?",
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"content": "Was this an actual exercise? I don't see a path to computing this sum without going beyond the scope of your course.",
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"content": "ok then I may have done something wrong",
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"content": "the original exercise is this one",
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"content": "I think the intention is for you to just do integration using the fundamental theorem of Calculus and not evaluate that limit at all.",
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] | help-10 | bd372ff1bdf34c678cadb69fba2da60c |
1,180 | [
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"timestamp": "11/08/2021 22:50:17",
"content": "I need help determining whether this is true or false",
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"content": "uh, I might need context on if the log is in base b",
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"timestamp": "11/08/2021 22:51:13",
"content": "no other context",
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"content": "ah, I couldn't say then",
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"timestamp": "11/08/2021 22:52:03",
"content": "there isnt a value given for b or for x",
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"content": "like is it log_b(2x)",
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"timestamp": "11/08/2021 22:52:21",
"content": "or just log base 10 like usual",
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"content": "i am assuming it has a base of 10",
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"timestamp": "11/08/2021 22:52:46",
"content": "since no other base is listed",
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"content": "cool",
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"timestamp": "11/08/2021 22:53:27",
"content": "so there's only 1 thing we can do to an equation with an exponent like this, take the log of both sides",
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"timestamp": "11/08/2021 22:53:34",
"content": "to get rid of the b, it'll be log_b",
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"author_id": 140928979849838600,
"author_name": "Plurmorant",
"timestamp": "11/08/2021 22:54:43",
"content": "that turns it into log(2x) = log_b(2x)",
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"id": 907478343191003100,
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"timestamp": "11/08/2021 22:54:57",
"content": "that should be false right? since 10 and b are different",
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"id": 907478452024770600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/08/2021 22:55:23",
"content": "i got to the same point actually but was wondering if b is 10",
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"id": 907478467665363000,
"author_id": 456226577798135800,
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"timestamp": "11/08/2021 22:55:26",
"content": "so i thought i had to solve for b",
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"id": 907478529262899200,
"author_id": 456226577798135800,
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"timestamp": "11/08/2021 22:55:41",
"content": "bc it could be i think im not sure",
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"author_name": "Plurmorant",
"timestamp": "11/08/2021 22:56:19",
"content": "if you can enter \"true if b=10\" that's good",
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"id": 907478699639709700,
"author_id": 140928979849838600,
"author_name": "Plurmorant",
"timestamp": "11/08/2021 22:56:22",
"content": "in general it's false",
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"timestamp": "11/08/2021 22:56:30",
"content": "ok",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/08/2021 22:56:36",
"content": "thanks for the help",
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"id": 907478783781666800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/08/2021 22:56:42",
"content": ".close",
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{
"id": 907478785107066900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/08/2021 22:56:42",
"content": "Channel closed",
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}
] | help-10 | c26bc535ff7b4dcbb2903088b6b3c9a0 |
1,181 | [
{
"id": 952008152772124700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 20:00:31",
"content": "Available help channel!",
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},
{
"id": 952010395781046300,
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"author_name": "coveraIs",
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"content": "Pinned a message.",
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"author_name": "coveraIs",
"timestamp": "03/11/2022 20:12:48",
"content": "would the answer just be 38",
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"timestamp": "03/11/2022 20:15:39",
"content": "and would this be 140",
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"id": 952014461697413100,
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"author_name": "coveraIs",
"timestamp": "03/11/2022 20:25:35",
"content": "@Helpers",
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},
{
"id": 952015501100449800,
"author_id": 704598892385271800,
"author_name": "coveraIs",
"timestamp": "03/11/2022 20:29:43",
"content": "anyone there? I rlly need help on these",
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},
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"id": 952017122358358000,
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"content": "-",
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"id": 952018887451508700,
"author_id": 704598892385271800,
"author_name": "coveraIs",
"timestamp": "03/11/2022 20:43:10",
"content": "thanks I guess.",
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"content": ".close",
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{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 20:43:14",
"content": "Channel closed",
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}
] | help-10 | 8372799c06014e978d32934c22a87f9b |
1,182 | [
{
"id": 952019156566417500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 20:44:14",
"content": "Available help channel!",
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},
{
"id": 952023811061084300,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:02:44",
"content": "guys i need help",
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},
{
"id": 952023813309222900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 21:02:44",
"content": "Pinned a message.",
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}
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{
"id": 952023938534359000,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:03:14",
"content": "whats up?",
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},
{
"id": 952024035678650400,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:03:37",
"content": "child mass is 50kg and g=10 H/kg",
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},
{
"id": 952024084588412900,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:03:49",
"content": "how to find gravitational force to this child",
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},
{
"id": 952024183410393200,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:04:13",
"content": "could you repost the full question i cant see it and want to be sure before i give the wrong answer",
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},
{
"id": 952024270509330600,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:04:33",
"content": "^^",
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},
{
"id": 952024296388177900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:04:40",
"content": "Read this.",
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{
"id": 952024823394086900,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:06:45",
"content": "I may be glitching I see the mods pin for claiming a channel but i dont see your question",
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},
{
"id": 952024909566070900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:07:06",
"content": "It says “Guys I need help”",
"attachments": [],
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},
{
"id": 952024925751873500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:07:10",
"content": "So he’s not following the rules",
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},
{
"id": 952024935654650000,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:07:12",
"content": "It’s whatever",
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},
{
"id": 952025021566582800,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:07:32",
"content": "oh yea myb i thought i did smth wrong",
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},
{
"id": 952025045746737300,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:07:38",
"content": "whats the rule",
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},
{
"id": 952025101333835800,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:07:51",
"content": "oh sorry",
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{
"id": 952025434911014900,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:09:11",
"content": "im new to this channel im just here to answer questions idk about the exact rules",
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{
"id": 952025484965867500,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:09:23",
"content": "mass is 50 kg, find mass force. (g=10 H/kg)",
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},
{
"id": 952025506885275600,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "03/11/2022 21:09:28",
"content": "its this question",
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},
{
"id": 952025547641348100,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:09:38",
"content": "They’re just posted by @Mathematics Bot",
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{
"id": 952025581917188100,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:09:46",
"content": "Looks like this",
"attachments": [],
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{
"id": 952025648615014400,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:10:02",
"content": "thanks",
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},
{
"id": 952025663127289900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:10:05",
"content": "Not sure what H is",
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},
{
"id": 952025690742587400,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:10:12",
"content": "But Fg = mg",
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{
"id": 952025728675885000,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/11/2022 21:10:21",
"content": "is the person on an incline or flat surface?",
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},
{
"id": 952025789115822100,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:10:35",
"content": "Fg: force of gravity\nm: mass of the object the force acts on\ng: acceleration due to gravity",
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"id": 952025948264464400,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/11/2022 21:11:13",
"content": "Fg units: Newtons (N)\nm units: kilograms (kg)\ng units: meters per second² (m/s^2)",
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"id": 952029282660679700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 21:24:28",
"content": "@Off_set Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 21:39:29",
"content": "Channel closed",
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}
] | help-10 | 694402592fe94ac3be9c77c1e59c48e4 |
1,183 | [
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"timestamp": "03/11/2022 21:40:29",
"content": "Available help channel!",
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{
"id": 952033864098918400,
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"content": "Pinned a message.",
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"content": "@andreww Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-10 | 7dea8248d96d4513b2ee5ec0af98cdb4 |
1,184 | [
{
"id": 952041667890913300,
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"timestamp": "03/11/2022 22:13:41",
"content": "Available help channel!",
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},
{
"id": 952047962282922000,
"author_id": 880276666964902000,
"author_name": "Albarado",
"timestamp": "03/11/2022 22:38:42",
"content": "@Helpers",
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},
{
"id": 952047964015181800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/11/2022 22:38:42",
"content": "Pinned a message.",
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"id": 952048020072042500,
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"timestamp": "03/11/2022 22:38:56",
"content": "Is this true?",
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"id": 952048119401562100,
"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "03/11/2022 22:39:19",
"content": "yeah. you coulda used a calculator to check that though.",
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"id": 952048219418935400,
"author_id": 880276666964902000,
"author_name": "Albarado",
"timestamp": "03/11/2022 22:39:43",
"content": "I mean it will add the exponent?",
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"id": 952048302474555400,
"author_id": 880276666964902000,
"author_name": "Albarado",
"timestamp": "03/11/2022 22:40:03",
"content": "It will have the same answer",
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"id": 952050502319866000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/11/2022 22:48:47",
"content": "Yes",
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"id": 952050581646749700,
"author_id": 880276666964902000,
"author_name": "Albarado",
"timestamp": "03/11/2022 22:49:06",
"content": "Thank you",
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"timestamp": "03/11/2022 23:04:07",
"content": "@Albarado Has your question been resolved?",
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"id": 952055210543571000,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/11/2022 23:07:30",
"content": "a^x * b^y = a^(x+y) ,** IF ** a = b",
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"author_name": "sLoct",
"timestamp": "03/11/2022 23:08:22",
"content": "This will help I hope",
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"author_name": "Albarado",
"timestamp": "03/11/2022 23:08:55",
"content": "Thank you",
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"timestamp": "03/11/2022 23:09:16",
"content": "and also , please close the channel if your problem is solved",
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"timestamp": "03/11/2022 23:09:24",
"content": "by typing \n.close",
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"author_name": "Albarado",
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"content": "Oh sorry",
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"author_name": "Albarado",
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"id": 952055845968040000,
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"timestamp": "03/11/2022 23:10:02",
"content": "Channel closed",
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] | help-10 | aa13c2cd85d94bf29b53f7497507fb96 |
1,185 | [
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"content": "@Fidelity Has your question been resolved?",
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] | help-10 | ff457e64e076486384cf6039290a46ca |
1,186 | [
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"content": "✅",
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] | help-10 | 6bf8d952af024627818b368744c95245 |
1,187 | [
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"id": 952066946067759100,
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"author_name": "Fidelity",
"timestamp": "03/11/2022 23:54:08",
"content": "If twice a number x increased by 6 is between 2 and 10 then what are the integers that x could possibly have?",
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"content": "What did you try ?",
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"content": "2<(2x+6)<10",
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"content": "Ok then solve for x",
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"timestamp": "03/11/2022 23:57:18",
"content": "then that would be \"-2<x<2\"",
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"content": "so all possible numbers yould be \"between\" the intergers given",
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"timestamp": "03/11/2022 23:57:59",
"content": "is that right?",
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"content": "Probably",
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"timestamp": "03/11/2022 23:59:11",
"content": "would that be {-1, 0,1 }",
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"timestamp": "03/11/2022 23:59:23",
"content": "or still { -2,-1, 0 , 1,2 }",
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"timestamp": "03/11/2022 23:59:37",
"content": "No the 2 aren’t included",
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"timestamp": "03/11/2022 23:59:37",
"content": "Oh, so you're not sure either",
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"timestamp": "03/11/2022 23:59:48",
"content": "So, this?",
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"timestamp": "03/11/2022 23:59:48",
"content": "u cant include the 2",
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"timestamp": "03/11/2022 23:59:53",
"content": "since its <",
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"timestamp": "03/11/2022 23:59:57",
"content": "and >",
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"timestamp": "03/12/2022 00:00:04",
"content": "yeah and not <=",
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"timestamp": "03/12/2022 00:00:06",
"content": "its not greater or EQUAL",
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"timestamp": "03/12/2022 00:00:16",
"content": "yeah open circle means not included",
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"timestamp": "03/12/2022 00:00:39",
"content": "oh I get it now! So, all possible integers whould just be {-1, 0,1 }",
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"timestamp": "03/12/2022 00:00:45",
"content": "Yhea",
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"author_name": "Fidelity",
"timestamp": "03/12/2022 00:00:58",
"content": "Thank you so much!",
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"timestamp": "03/12/2022 00:01:02",
"content": "np",
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"timestamp": "03/12/2022 00:01:06",
"content": ".close",
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"author_id": 915487527874465800,
"author_name": "Fidelity",
"timestamp": "03/12/2022 00:01:23",
"content": "I can't close it?",
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"author_name": "ndam500",
"timestamp": "03/12/2022 00:01:26",
"content": "Its already closen",
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"author_name": "Fidelity",
"timestamp": "03/12/2022 00:01:54",
"content": "Oh, well then, uhm, let me just",
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"timestamp": "03/12/2022 00:02:06",
"content": "U cant",
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"author_name": "Fidelity",
"timestamp": "03/12/2022 00:02:48",
"content": "I think I'm the one who broke this sorry",
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"timestamp": "03/12/2022 00:02:53",
"content": "U did t",
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"content": "Didnt brake it",
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"content": "Available help channel!",
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"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:13:23",
"content": "If i am given two points lets say $(x_1,y_1)$ \\& $(x_2,y_2)$ how to find a line passing through these two points",
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"timestamp": "03/12/2022 00:13:23",
"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "03/12/2022 00:14:01",
"content": "**ron143**",
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"timestamp": "03/12/2022 00:16:11",
"content": "I have 1 more doubt",
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"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:16:14",
"content": ",tex If i am given a equation of circle and a point $(x,y)$ outside of circle then how to find equation of tangent passing through the point",
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"author_name": "jan Niku",
"timestamp": "03/12/2022 00:17:12",
"content": "u use a formula",
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"content": "**ron143**",
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"timestamp": "03/12/2022 00:17:25",
"content": "What is the formula",
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"author_name": "EndTimes",
"timestamp": "03/12/2022 00:17:45",
"content": "ok let's go through this in a systematic way.",
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"timestamp": "03/12/2022 00:18:06",
"content": "how can we parametrize a circle?",
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"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:18:41",
"content": "Meaning?",
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"id": 952073236399657000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:19:08",
"content": "express any point on the circle as a function of a single variable t",
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"id": 952073293026975700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:19:21",
"content": "such that (x,y) = (x(t), y(t))",
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"id": 952073330851196900,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:19:30",
"content": "Oh not in that form",
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{
"id": 952073407980257300,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:19:49",
"content": "(x-a)^2 + (y-b)^2 = r^2",
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},
{
"id": 952073426393239600,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:19:53",
"content": "This form",
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},
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"id": 952073705939423400,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:21:00",
"content": "Hey don’t bother about 1st question i just want 2nd one",
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"id": 952073728085336200,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:21:05",
"content": "I got 1st one",
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"id": 952075998076219400,
"author_id": 802714855983415300,
"author_name": "mattt",
"timestamp": "03/12/2022 00:30:06",
"content": "whats (7x - 8) + 2x + 20)?",
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},
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"id": 952077191779352600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:34:51",
"content": "if (x-x0)^2 + (y-y0)^2 = r^2, then (x,y) = (rcos(t) + x0, rsin(t)+y0)",
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"id": 952077217255534600,
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"author_name": "EndTimes",
"timestamp": "03/12/2022 00:34:57",
"content": "so now we have two points",
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"id": 952077293776408600,
"author_id": 551269104800104450,
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"timestamp": "03/12/2022 00:35:15",
"content": "(rcos(t) + x0, rsin(t) + y0)\n(x1,y1)",
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},
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"timestamp": "03/12/2022 00:40:06",
"content": "But here t is variable right?",
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"id": 952078830422618100,
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"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:41:21",
"content": "Let’s take an example to simplify I guess",
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"timestamp": "03/12/2022 00:41:45",
"content": "x^2+ (y-1)^2= 1",
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"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:42:04",
"content": "And point (4,5)",
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"timestamp": "03/12/2022 00:43:31",
"content": "wait this is way simpler than i'm making it out to be i'm sorry",
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"timestamp": "03/12/2022 00:43:40",
"content": "Ouhh",
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"author_id": 551269104800104450,
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"timestamp": "03/12/2022 00:43:42",
"content": "(x-a)^2 + (y-b)^2 = r^2",
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"id": 952079467751284700,
"author_id": 551269104800104450,
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"timestamp": "03/12/2022 00:43:53",
"content": "assume that y = mx + c",
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"id": 952079510528999400,
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"timestamp": "03/12/2022 00:44:04",
"content": "then you get a quadratic in x",
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"id": 952079566283894800,
"author_id": 943069425274339300,
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"timestamp": "03/12/2022 00:44:17",
"content": "But there’s two tangent right",
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"timestamp": "03/12/2022 00:44:22",
"content": "Oh ya",
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"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:44:26",
"content": "Nvm",
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"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:44:32",
"content": "Continue",
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"id": 952080521482104800,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:48:05",
"content": "?",
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"id": 952080532597002200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:48:07",
"content": "that becomes a mess because of the offset",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:48:16",
"content": "a little substitution will make this a lot cleaner",
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"id": 952080604718059500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:48:24",
"content": "let X = x-a, let Y = y-b",
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"id": 952080639430111200,
"author_id": 551269104800104450,
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"timestamp": "03/12/2022 00:48:33",
"content": "then X^2 + Y^2 = r^2",
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"id": 952080693993799700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:48:46",
"content": "now assume Y = mX + c",
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"id": 952080772754460700,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:49:05",
"content": "Ya",
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"id": 952080984688447500,
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"author_name": "EndTimes",
"timestamp": "03/12/2022 00:49:55",
"content": "X^2 + (mX + c)^2 - r^2 = 0\nX^2 + m^2X^2 + 2cmX + c^2 - r^2 = 0\n(1+m^2) X^2 + (2cm) X + (c^2-r^2) = 0",
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"id": 952081307524005900,
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"author_name": "EndTimes",
"timestamp": "03/12/2022 00:51:12",
"content": "we only want this quadratic to have one solution, so let's set the discriminant equal to 0",
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"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:51:26",
"content": "Why one solution?",
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"timestamp": "03/12/2022 00:52:10",
"content": "",
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"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:52:29",
"content": "We need both equation right?",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:53:54",
"content": "(2cm)^2 - 4(1+m^2)(c^2-r^2) = 0\n4c^2m^2 = 4(1+m^2)(c^2-r^2)\nc^2m^2 = (1+m^2)(c^2-r^2)\nc^2m^2 = c^2 - r^2 + m^2c^2 - m^2r^2\nc^2 - r^2 - m^2r^2 = 0\nc^2 = r^2 + m^2r^2\nc^2 = r^2(1+m^2)\nc = +-r sqrt(1+m^2)",
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"id": 952082135651602400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:54:29",
"content": "the plus or minus accounts for the two tangents. but we only want each tangent to touch the circle at exactly one point",
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"id": 952082150117761000,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:54:33",
"content": "Ohh umm kk",
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"id": 952082199090462700,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:54:45",
"content": "Ya right",
"attachments": [],
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"id": 952082504595165200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:55:57",
"content": "now this gets a bit messy",
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{
"id": 952082597851328500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:56:20",
"content": "we have found the constraint on c with the discriminant of the quadratic, now we will plug it back in",
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{
"id": 952082744798756900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:56:55",
"content": "(1+m^2) X^2 + (2cm) X + (c^2-r^2) = 0",
"attachments": [],
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},
{
"id": 952082762536452100,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:56:59",
"content": "Where to plug it in?",
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"id": 952082817876131800,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:57:12",
"content": "Ohh",
"attachments": [],
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},
{
"id": 952083071514075100,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:58:13",
"content": "How do we solve next",
"attachments": [],
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},
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"id": 952083178011627500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 00:58:38",
"content": "wait actually do you know calculus",
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},
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"id": 952083333309943800,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 00:59:15",
"content": "I know but I don’t think we are supposed to do here calculus",
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"id": 952083630874837000,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "03/12/2022 01:00:26",
"content": "Cause its 11th std concept where calculus was not taught",
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"id": 952084017107321000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 01:01:58",
"content": "https://sites.math.washington.edu/~conroy/m120-general/circleTangents.pdf",
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},
{
"id": 952084077366890500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 01:02:12",
"content": "this quadratic shit is so damn messy. finally found a clean solution",
"attachments": [],
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},
{
"id": 952085341848879100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/12/2022 01:07:14",
"content": "find (a,b) given (c,d) such that:\na^2 + b^2 = r^2\nb/a = -1/((b-d)/(a-c))",
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 01:15:27",
"content": "@PuddinAru Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 01:30:27",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | aaa69c64e0c944d7b04a1e3e7e1f6611 |
1,188 | [
{
"id": 952091437850329100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 01:31:27",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 952101529115050100,
"author_id": 442577840668672000,
"author_name": "Pochi",
"timestamp": "03/12/2022 02:11:33",
"content": "when listing down the sample size does order matter? like in a problem where I flip 2 coins should i list HT and TH seperately?",
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},
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"id": 952101531019255800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 02:11:34",
"content": "Pinned a message.",
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"id": 952101679040458800,
"author_id": 851392993243430900,
"author_name": "ApexsSin",
"timestamp": "03/12/2022 02:12:09",
"content": "Yes",
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"author_id": 851392993243430900,
"author_name": "ApexsSin",
"timestamp": "03/12/2022 02:12:24",
"content": "Since your looking for every possible combination",
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},
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"id": 952102132989964300,
"author_id": 442577840668672000,
"author_name": "Pochi",
"timestamp": "03/12/2022 02:13:57",
"content": "icic thanks, i appreciate it",
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},
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"id": 952102235662348400,
"author_id": 442577840668672000,
"author_name": "Pochi",
"timestamp": "03/12/2022 02:14:22",
"content": ".close",
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"id": 952102237264552000,
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 02:14:22",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | edfe90c1e5a44213b6ad7ea45f16dd45 |
1,189 | [
{
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"timestamp": "03/12/2022 02:21:35",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 952108513126133800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/12/2022 02:39:18",
"content": "can anyone help me with theory of equations",
"attachments": [],
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{
"id": 952108515592372200,
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"timestamp": "03/12/2022 02:39:19",
"content": "Pinned a message.",
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"timestamp": "03/12/2022 02:39:24",
"content": "@Helpers",
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"timestamp": "03/12/2022 02:54:24",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "03/12/2022 03:09:24",
"content": "Channel closed",
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] | help-10 | c8abdbd488294d96a376a115c1ae067b |
119 | [
{
"id": 932711501553336400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 14:02:30",
"content": "Available help channel!",
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},
{
"id": 932712380784328700,
"author_id": 808388164107763700,
"author_name": "øst",
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"timestamp": "01/17/2022 14:06:01",
"content": "Pinned a message.",
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"id": 932712509247471600,
"author_id": 808388164107763700,
"author_name": "øst",
"timestamp": "01/17/2022 14:06:31",
"content": "How do you complete the square here?",
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},
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"id": 932712774570766300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/17/2022 14:07:34",
"content": "the same way you'd complete the square in other questions",
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"id": 932712880539840500,
"author_id": 808388164107763700,
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"timestamp": "01/17/2022 14:07:59",
"content": "Ok",
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"id": 932713066246860800,
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"author_name": "ramonov",
"timestamp": "01/17/2022 14:08:43",
"content": "consider the part you want to complete the square for, in this case the\nx^2 - 4x\nand add/subtract/manipulate appropriatrly",
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"author_name": "ramonov",
"timestamp": "01/17/2022 14:09:07",
"content": "which they actually showed in the the work",
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"timestamp": "01/17/2022 14:10:55",
"content": ".close",
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"timestamp": "01/17/2022 14:10:56",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 25093f13280c43048ed4ed96deb0afe7 |
1,190 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 03:10:25",
"content": "Available help channel!",
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},
{
"id": 952118199518888000,
"author_id": 214391974898302980,
"author_name": "spaketti",
"timestamp": "03/12/2022 03:17:48",
"content": "I've got this problem:\n\n\"You roll a six-sided fair dice and sum up the values until you throw a value that is equal or less than your last throw. (For example, you could throw 2, 3, 5, 5 and the sum would be 15)\"\nWhat is the probability that there are exactly two throws?\nWhat is the probability of each possible sum?\n\nThis problem is related to combinatorics, isn't it? I just can't wrap my head around the way this is supposed to be calculated.\nI know that the least amount of throws you can make is two (any two same numbers) and the maximum amount of throws would be 7 (1, 2, 3, 4, 5, 6, 6)\nBased on this, the lowest sum is 2 and the highest is 27",
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"timestamp": "03/12/2022 03:17:48",
"content": "Pinned a message.",
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"id": 952119016615465000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/12/2022 03:21:03",
"content": "hmm",
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{
"id": 952119143191162900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/12/2022 03:21:33",
"content": "gonna try to list all possible roll seqs",
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"id": 952119909721194600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/12/2022 03:24:36",
"content": "...which is probably going to be very long and tedious",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/12/2022 03:24:40",
"content": "can't see a good way to calculate this",
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"content": "Yeah, been doing it for a moment now and this definitely doesn't seem to be the \"correct\" way to do this.",
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"content": "@spaketti Has your question been resolved?",
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"content": "@spaketti Has your question been resolved?",
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"content": "@Helpers I don't have enough paper to list all the sequences :opencry: , pls help",
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"content": "@spaketti Has your question been resolved?",
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"content": "@spaketti Has your question been resolved?",
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"timestamp": "03/12/2022 07:19:05",
"content": "I have an idea",
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"timestamp": "03/12/2022 07:19:18",
"content": "Do tell please",
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"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 07:19:36",
"content": "I will draw, if you are not in a hurry",
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"timestamp": "03/12/2022 07:20:09",
"content": "No prob, any help is appreciated",
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"timestamp": "03/12/2022 07:31:03",
"content": "Well, it turned out to be questionable. The thing is, I cant figure out the rules for subtracting. It is easier to figure out combinations of crosses, than it is for combinations of numbers, but still hard. May give it another approach later. Hope the following mess helps :)",
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"content": "Thank you, I'll look into this",
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] | help-10 | 7d4324239395419f96802bb47740af3a |
1,191 | [
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"timestamp": "11/08/2021 23:02:56",
"content": "it seems you already know, seeing your notes to the side",
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"id": 907480408256561200,
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"content": "just follow what you've written",
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"content": "how do i draw from -inf,-1 something that is increasing Concave down",
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"timestamp": "11/08/2021 23:03:38",
"content": "i'd suggest writing at the top of the graph where it's increasing, decreasing, concave up, and concave down",
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"timestamp": "11/08/2021 23:03:56",
"content": "there are four possibilities: increasing CU, increasing CD, decreasing CU, and decreasing CD",
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"timestamp": "11/08/2021 23:04:27",
"content": "try drawing graphs off to the side, see if you can get the general shapes for those types of graphs",
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"author_id": 437818258372952060,
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"timestamp": "11/08/2021 23:06:51",
"content": "This?",
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"timestamp": "11/08/2021 23:09:49",
"content": "looks alright to me",
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"timestamp": "11/08/2021 23:10:41",
"content": "aighjt",
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"author_name": "Mai Guy",
"timestamp": "11/08/2021 23:15:58",
"content": "thanks for all the help earlier @Plurmorant i solved all of it 👍",
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"content": "@caden_the_cadet Has your question been resolved?",
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] | help-10 | 2784aedd0eab4df4b46716b0f1bb155c |
1,192 | [
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"content": "Would someone please explain me intuition of this rule?",
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"timestamp": "03/12/2022 11:19:30",
"content": "What is actually happening here?",
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"author_id": 356358102641279000,
"author_name": "IntelligentCake",
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"content": "You integrate the function with respect to t",
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"content": "You should get a function in terms of x",
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"timestamp": "03/12/2022 11:31:00",
"content": "Then you differentiate with respect to x",
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"timestamp": "03/12/2022 11:31:34",
"content": "Yes, I realize that.",
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"id": 952242503631904900,
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"timestamp": "03/12/2022 11:31:44",
"content": "But why this is true?",
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"timestamp": "03/12/2022 11:32:19",
"content": "Would you please elaborate?",
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"timestamp": "03/12/2022 11:38:06",
"content": "because when you go to plug in values for t after taking the antiderivative, one value will be x, and the other will be 1. from there the portion where you plugged in 1 will disappear, along with the integration constant, due to the differentiation with respect to x treating them as constants, and therefore being derived to zero. from there you should be left with only some function in terms of x.",
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"timestamp": "03/12/2022 11:40:14",
"content": "Thank you @WhateverComic07 🙂",
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] | help-10 | 510e24b2895f40a585ce5fe3ee438842 |
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1,195 | [
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"content": "Every quadratic can be written as $(x-A)(x-B)$",
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"content": "**azeem321**",
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"content": "nope",
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"content": "this cant be factorised",
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"content": "sorry",
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"content": "some cant be factorised",
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"content": "Can you factories the following",
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"content": "maybe",
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"timestamp": "03/12/2022 13:52:21",
"content": "Every quadratic can be factorized. However, your factors might be complex",
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"content": "nope",
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"timestamp": "03/12/2022 13:53:32",
"content": "Then how can I factories the above two quadratic?",
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"timestamp": "03/12/2022 13:53:36",
"content": ",w solve 3x^2-x+4=0",
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"content": "see",
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"timestamp": "03/12/2022 13:53:46",
"content": "cant factories",
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"timestamp": "03/12/2022 13:54:23",
"content": "Results provided by WolframAlpha",
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"content": "limited",
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"author_name": "Master Oogway",
"timestamp": "03/12/2022 13:55:08",
"content": "what grade are you in",
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"timestamp": "03/12/2022 13:55:34",
"content": "have u learned complex numbers",
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"content": "yes",
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"timestamp": "03/12/2022 13:55:40",
"content": "he has",
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"author_name": "<><><>",
"timestamp": "03/12/2022 13:56:12",
"content": "if you have learned complex numbers then they would expect u to facotrize that",
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"timestamp": "03/12/2022 13:56:14",
"content": "if not, then fine you won't be expected to facotrize",
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"author_name": "hellcat",
"timestamp": "03/12/2022 13:56:24",
"content": "They are not in my syllabus but I know that i = sqrt(-1)",
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"timestamp": "03/12/2022 13:56:33",
"content": "then you have no chance",
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"timestamp": "03/12/2022 13:56:40",
"content": "just leave them",
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"author_name": "hellcat",
"timestamp": "03/12/2022 13:58:26",
"content": "Then can I solve the above limit without using complex numbers",
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"timestamp": "03/12/2022 13:58:46",
"content": "yes",
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"timestamp": "03/12/2022 13:59:11",
"content": "How ?",
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"id": 952279902911103100,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 14:00:21",
"content": "Do you know the limit is asking?",
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"timestamp": "03/12/2022 14:00:28",
"content": "wha",
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"id": 952279936138367000,
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"author_name": "Master Oogway",
"timestamp": "03/12/2022 14:00:29",
"content": "t",
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"timestamp": "03/12/2022 14:00:45",
"content": "eh",
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"author_name": "Master Oogway",
"timestamp": "03/12/2022 14:00:53",
"content": "you need to try to factorise",
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"id": 952280065264201700,
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"timestamp": "03/12/2022 14:01:00",
"content": "No you don't",
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"timestamp": "03/12/2022 14:01:02",
"content": "Mike",
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"timestamp": "03/12/2022 14:01:06",
"content": "?",
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"timestamp": "03/12/2022 14:01:11",
"content": "in order to solve",
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"id": 952280115289673900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 14:01:11",
"content": "bro",
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"id": 952280135334240300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/12/2022 14:01:16",
"content": "what",
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"id": 952280252846055400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 14:01:44",
"content": "Limited, do you know how to do long division?",
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"id": 952280320907034600,
"author_id": 942745036267847800,
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"timestamp": "03/12/2022 14:02:01",
"content": "Yes",
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"id": 952280359519785000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 14:02:10",
"content": "ok divide the top polynomial",
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"id": 952280375831453700,
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"timestamp": "03/12/2022 14:02:14",
"content": "by the bottom",
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"id": 952280390654132400,
"author_id": 872024354572103700,
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"timestamp": "03/12/2022 14:02:17",
"content": "the quotient is the limit",
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"id": 952280719219109900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 14:03:35",
"content": "alternatively, multiply top and bottom by $\\frac{\\frac{1}{x^2}}{\\frac{1}{x^2}}$",
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"id": 952280729428041700,
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"author_name": "TeXit",
"timestamp": "03/12/2022 14:03:38",
"content": "**azeem321**",
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"timestamp": "03/12/2022 14:04:10",
"content": "Factorizing will yield no results for this limit",
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"timestamp": "03/12/2022 14:04:24",
"content": "it will",
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"timestamp": "03/12/2022 14:04:54",
"content": "ok solve it by factorizing",
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"content": "ok",
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"timestamp": "03/12/2022 14:05:11",
"content": "Is the answer 1.5",
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"timestamp": "03/12/2022 14:05:17",
"content": "yh",
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"timestamp": "03/12/2022 14:05:55",
"content": "Thanks both of you",
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"content": "np",
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"content": ".close",
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"content": "Channel closed",
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] | help-10 | ae738520f5e946ccb28a712115420708 |
1,196 | [
{
"id": 952283232337002500,
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"timestamp": "03/12/2022 14:13:35",
"content": "Available help channel!",
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"id": 952284356808958100,
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"timestamp": "03/12/2022 14:18:03",
"content": "quick question",
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"timestamp": "03/12/2022 14:18:03",
"content": "Pinned a message.",
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"id": 952284416934314100,
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:18:17",
"content": "how do you get 5-3a<-1 out of \"a>2\"",
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"id": 952284459703623700,
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"timestamp": "03/12/2022 14:18:27",
"content": "using the properties of inequalities",
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"id": 952284460806713300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 14:18:28",
"content": "Algebra",
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"timestamp": "03/12/2022 14:18:47",
"content": "no shit",
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"timestamp": "03/12/2022 14:19:07",
"content": "Well yeah, but that's the answer to your question",
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"timestamp": "03/12/2022 14:19:38",
"content": "How do I get from equation A to equation B? Algebra",
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:19:57",
"content": "can u stfu",
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"id": 952284839980204000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:19:58",
"content": "thanks",
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"id": 952284858217029600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 14:20:02",
"content": "Post your attempt if you're unsure of the steps.",
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"id": 952284978358649000,
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:20:31",
"content": "I am stuck",
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"id": 952284988303364100,
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:20:33",
"content": "it might be obvious",
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:20:39",
"content": "but my brain is fried from all the other problems",
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"id": 952285022470148100,
"author_id": 923268887909384200,
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"timestamp": "03/12/2022 14:20:41",
"content": "I've solved for the day",
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"author_id": 186109587366215680,
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"timestamp": "03/12/2022 14:20:43",
"content": ".",
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},
{
"id": 952285047396892700,
"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 14:20:47",
"content": "Seems kinda random. It's just two true inequalities. Like, what is the task?",
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"timestamp": "03/12/2022 14:21:02",
"content": "If you haven't attempted it, do so before you ask for help.",
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},
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"id": 952285152514560100,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 14:21:12",
"content": "We can't help a blank slate.",
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"id": 952285716853977200,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:23:27",
"content": "using the properties of inequalities, I have to get 5-3a<-1 from a>2",
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"author_name": "lacertae",
"timestamp": "03/12/2022 14:23:31",
"content": "but I'm stuck",
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"id": 952285812098220200,
"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 14:23:50",
"content": "If it is \"Given A arrive to B\" kind of task, then algebra it is, truly\nLet me try to help",
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"id": 952286056177352800,
"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 14:24:48",
"content": "Aight\nLets move by bits to the victory\nIf a>2, and you have 3a in the end, what would you write down with it? Ignore minus for now",
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"id": 952286174884556800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:25:16",
"content": "both sides multiplied by 3",
"attachments": [],
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"id": 952286194656505900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:25:21",
"content": "but it's -3a",
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"id": 952286208250232800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:25:24",
"content": "so changes the direction",
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"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 14:25:38",
"content": "And you are left with..?",
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"id": 952286331420172400,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:25:54",
"content": "oh then add 5",
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"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/12/2022 14:26:02",
"content": "Perfect!",
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},
{
"id": 952286374122385400,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:26:04",
"content": "ty",
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},
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"id": 952286380187320400,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "03/12/2022 14:26:05",
"content": ".close",
"attachments": [],
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},
{
"id": 952286381311406200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 14:26:05",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 41cb2177c37b4d9695c92954b13d2869 |
1,197 | [
{
"id": 952286882073571500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 14:28:05",
"content": "Available help channel!",
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},
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"id": 952292267618603000,
"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 14:49:29",
"content": "I need help with exercise 35. I don't understand how to rearrange quadratic equations, I have no idea how to even start",
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"timestamp": "03/12/2022 14:49:29",
"content": "Pinned a message.",
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"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:03:40",
"content": "In this case, \"rearranging\" means \"finding an expression of the form\", e.g. for the a. it means finding an expression of the form ax² + bx +c",
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"author_name": "Tijme",
"timestamp": "03/12/2022 15:07:05",
"content": "yes, but how do I do that",
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"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:08:12",
"content": "Let's take the example of the a., the function g :\nYou should expand the (x+5)², and try to put the x² together, the x together and the numbers together",
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"id": 952297016556408800,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:08:21",
"content": "Try to develop g(x)",
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"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:17:22",
"content": "then I get x² + 10x + 25",
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"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:17:48",
"content": "and then the -9 right",
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"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:18:03",
"content": "so is x² + 10x + 16 then the answer?",
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"id": 952299483897675900,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:18:09",
"content": "Yes, that's right !",
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"id": 952299630236946400,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:18:44",
"content": "Now, for h you should develop the (x+3)(x-4), and then apply the (-2) factor",
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"id": 952299795102437500,
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"author_name": "Tijme",
"timestamp": "03/12/2022 15:19:24",
"content": "alright",
"attachments": [],
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"id": 952300508759081000,
"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:22:14",
"content": "then I get x² - x -12 and do I then multiply the whole thing by -2?",
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"id": 952300549477392400,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:22:23",
"content": "Yep",
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"id": 952300931746234400,
"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:23:55",
"content": "so -2x² +2x +24",
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"id": 952300954403877000,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:24:00",
"content": "That's it",
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"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:24:10",
"content": "okay thank you so much",
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},
{
"id": 952301089967976400,
"author_id": 273838096641163260,
"author_name": "Hildegunst Taillemythes",
"timestamp": "03/12/2022 15:24:32",
"content": "(I mean, you did all the work...)",
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"id": 952301186722177200,
"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:24:55",
"content": ":flonshed:",
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"id": 952301400942063700,
"author_id": 414845964243828740,
"author_name": "Tijme",
"timestamp": "03/12/2022 15:25:46",
"content": ".close",
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"id": 952301403148288000,
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 15:25:47",
"content": "Channel closed",
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] | help-10 | bedfd961e5c949e789f272822d92635f |
1,198 | [
{
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"content": "Available help channel!",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:37:52",
"content": "Would someone be able to help me, I need help figuring out how to properly show all steps of my work",
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"timestamp": "03/12/2022 15:38:37",
"content": "One sec",
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"timestamp": "03/12/2022 15:39:12",
"content": "I’ll send a picture of my work in a sec",
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"timestamp": "03/12/2022 15:40:40",
"content": "looks good",
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"id": 952305154105942100,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:40:41",
"content": "I know that 2 is the answer without even doing this math",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:40:47",
"content": "It’s a fairly simple problem",
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"id": 952305198532018300,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:40:52",
"content": "But how do I show my work",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:40:56",
"content": "I haven’t done logs in a long time",
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"author_name": "a disappointing son",
"timestamp": "03/12/2022 15:40:57",
"content": "that's good enough",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:40:59",
"content": "Your work there is good.",
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{
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"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:41:13",
"content": "Do you think it would be easy for other students to comprehend",
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"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/12/2022 15:41:28",
"content": "as long as they know how to rewrite exponential equations logarithmically",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:41:31",
"content": "The only thing is that the side n was on switched, so it's a little strange, but still understandable.",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:41:34",
"content": "Do you see the third line, is it even necessary for me to switch to that with a log",
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"timestamp": "03/12/2022 15:41:43",
"content": "Ok",
"attachments": [],
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"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:41:52",
"content": "You can make it more explicit, too.",
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"id": 952305540032249900,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:42:13",
"content": "How",
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"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:42:18",
"content": "Can you show me an example",
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"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:42:24",
"content": "log₁₀(10ⁿ) = log₁₀(100)",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:42:35",
"content": "Just do the same step to both sides without skipping ahead.",
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"timestamp": "03/12/2022 15:42:41",
"content": "Ok",
"attachments": [],
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:42:41",
"content": "Then you get n = 2 on the next line.",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:42:49",
"content": "Lemme try one sec",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:44:16",
"content": "Nice username btw LOL",
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"timestamp": "03/12/2022 15:44:34",
"content": "it fits me",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:44:46",
"content": "So when you take log of a 10",
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"timestamp": "03/12/2022 15:44:50",
"content": "The log cancels out right",
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"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:44:54",
"content": "Cause the base of log is 10",
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"timestamp": "03/12/2022 15:44:56",
"content": "Yes, that looks good. Now it's clear you're doing the same thing to both sides each time.",
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"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/12/2022 15:45:04",
"content": "yeah",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:45:24",
"content": "Okay",
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"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:45:31",
"content": "Thank you guys <3",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:46:00",
"content": "You're welcome.",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:47:44",
"content": "What about this one",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:47:54",
"content": "I am actually confused how to solve it",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:48:29",
"content": "You can take the 100 out of the logarithm.",
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"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:49:04",
"content": "log₁₀(1200)\nlog₁₀(12 · 100)\nlog₁₀(12) + log₁₀(100)\nlog₁₀(12) + 3",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:51:04",
"content": "Would that be a 2",
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"timestamp": "03/12/2022 15:51:08",
"content": "Instead of three",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:51:14",
"content": "@Chai T. Rex",
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"timestamp": "03/12/2022 15:51:26",
"content": "Oh, right.",
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"timestamp": "03/12/2022 15:52:19",
"content": "Does this look right?",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:52:29",
"content": "Students can’t use calculators on this",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:52:35",
"content": "So is this the most simplified form?",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:52:51",
"content": "Yes, there's an alternative as well.",
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"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:53:02",
"content": "Mhm?",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:54:02",
"content": "log₁₀₀(1200)",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:54:12",
"content": "The way you can get that is.",
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"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:55:07",
"content": "2y = log₁₀(1200)\ny = log₁₀(1200)/2\ny = log₁₀(1200)/log₁₀(100)\ny = log₁₀₀(1200)",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:55:28",
"content": "The last line is the change of base rule.",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 15:55:32",
"content": "Okay",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:55:57",
"content": "y = log₁₀₀(12) + 1 also.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 15:56:09",
"content": "Depends on which you see as simpler.",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:09:04",
"content": "How do I do this one",
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"timestamp": "03/12/2022 16:11:10",
"content": "I have no idea",
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"timestamp": "03/12/2022 16:11:16",
"content": "So you need to isolate x @Uncle Rico",
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"timestamp": "03/12/2022 16:11:42",
"content": "Correct",
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"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:11:54",
"content": "You can Technically shorten it by 1 step",
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"id": 952313056778674300,
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"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:12:05",
"content": "Take log base 2 of both sides instead",
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"timestamp": "03/12/2022 16:12:11",
"content": "You'll get x immediately",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:12:18",
"content": "OOOOOHHHH",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:12:19",
"content": "OMG",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:12:21",
"content": "Okay",
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"id": 952313139570024400,
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:12:25",
"content": "I didn’t think of that",
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"timestamp": "03/12/2022 16:12:27",
"content": "Ok one sec",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:13:25",
"content": "So is this right",
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"timestamp": "03/12/2022 16:13:28",
"content": "",
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"timestamp": "03/12/2022 16:14:00",
"content": "Ye",
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:14:22",
"content": "Okay thank you so much",
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"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:14:30",
"content": "Np",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 16:19:18",
"content": "And then 1/16 is 2 to the what power?",
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"timestamp": "03/12/2022 16:19:23",
"content": "@Uncle Rico",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/12/2022 16:19:40",
"content": "Or, alternatively, what power of 2 is 16?",
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"id": 952316725507023000,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:26:40",
"content": "Hi",
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"id": 952316736571605000,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:26:43",
"content": "Sorry I’m back",
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"id": 952316741676044300,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:26:44",
"content": "Ummm",
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"id": 952316781152829400,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:26:53",
"content": "4",
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"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:27:21",
"content": "What about this",
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"id": 952316969556803600,
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"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:27:38",
"content": "@Uncle Rico",
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"id": 952316990045958100,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:27:43",
"content": "One sec",
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"id": 952317033377329200,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:27:53",
"content": "Idk",
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"id": 952317115925401700,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:28:13",
"content": "What happens if the power is negative",
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"id": 952317139132494000,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:28:19",
"content": "Like 2^-1",
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"id": 952317389192716300,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:29:18",
"content": "So 2^-4",
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"id": 952317412232036400,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:29:24",
"content": "Is 1/16",
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},
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"id": 952317464891510800,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:29:36",
"content": "Yes",
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},
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"id": 952317499855216600,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "03/12/2022 16:29:45",
"content": "So x = ?",
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"id": 952317624681918500,
"author_id": 448617609949347840,
"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:30:14",
"content": "-4",
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},
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"id": 952317712477077600,
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"timestamp": "03/12/2022 16:30:35",
"content": "Yes",
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"timestamp": "03/12/2022 16:31:40",
"content": "",
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"timestamp": "03/12/2022 16:36:14",
"content": "Looks good.",
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 16:46:41",
"content": "@Uncle Rico Has your question been resolved?",
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"timestamp": "03/12/2022 16:53:30",
"content": "Channel closed",
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] | help-10 | 06c9e5b3559943d4b9a8527086c39a92 |
1,199 | [
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"author_name": "Uncle Rico",
"timestamp": "03/12/2022 16:53:39",
"content": "Thank you guys for the help",
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},
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"author_id": 633025819324973000,
"author_name": "Untitled1011010",
"timestamp": "03/12/2022 17:00:57",
"content": "Abstract algebra continuous function norm uniform convergence question - can someone please check this for me?",
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"content": "Pinned a message.",
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"content": "@Untitled1011010 Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "Mat",
"timestamp": "03/12/2022 17:30:54",
"content": "@Untitled1011010 are you trying to show that F is continuous?",
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"timestamp": "03/12/2022 17:39:29",
"content": "So I agree that part i works",
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"content": "And you need to show that part ii isn't bounded",
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"content": "I don't follow part ii",
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"content": "@Untitled1011010 Has your question been resolved?",
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] | help-10 | 19e774065f8c42aab23de212d3196a38 |
12 | [
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"content": "Available help channel!",
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"id": 930550043952431100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 14:53:39",
"content": "is the union of the subspaces that make up the x and the y axis in R^2 a subspace of R^2?",
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"timestamp": "01/11/2022 14:54:36",
"content": "or wait a better question, what even is the union the axes, is it all ordered pairs (so the plane spanned by the two axis) or litteraly just the two axes",
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"content": "the union of the axis is just the two axes",
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"content": "The union of 2 subspaces is not necessarily a subspace.",
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"timestamp": "01/11/2022 14:56:13",
"content": "As you've just demonstrated",
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"timestamp": "01/11/2022 14:56:25",
"content": "Alright",
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"author_name": "نعمان",
"timestamp": "01/11/2022 14:56:34",
"content": "is the union of the x and y axes a vectorspace tho?",
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"timestamp": "01/11/2022 14:57:32",
"content": "if so, the sum of two vectors; for ex one in the x and the other in the y axes should be in the union",
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"content": "is it true ?",
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"content": "no",
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"content": "you have your answer",
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"timestamp": "01/11/2022 14:59:32",
"content": "thanks for the help! lol",
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] | help-10 | 1eabd1ab57fa49d49398ca29f12dce14 |
120 | [
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"author_name": "ahura",
"timestamp": "01/17/2022 14:26:33",
"content": "Hello can somebody please help me",
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"timestamp": "01/17/2022 14:26:51",
"content": "Sorry",
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"id": 932718101181653000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/17/2022 14:28:44",
"content": "You need to ask first",
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"timestamp": "01/17/2022 14:28:47",
"content": "As in",
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"id": 932718150322102400,
"author_id": 456226577798135800,
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"timestamp": "01/17/2022 14:28:56",
"content": "Put the problem you need help with",
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"timestamp": "01/17/2022 14:29:09",
"content": "So people who do know how to solve it can help",
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"content": "@ahura Has your question been resolved?",
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"content": "It’s being resolved",
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1,200 | [
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"author_name": "Lukephos",
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"content": "I feel like an idiot for still forgetting how to do this, how do you convert an angle value to a Vector2 relative to up? So a 90 degree rotation would be equal to (1, 0) for example, and 45 degress (0.5, 0.5).",
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"content": "I believe that would be (sin(theta), cos(theta))",
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"content": "Ah, thank you very much.",
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"content": "Np",
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] | help-10 | c7f4636da610413f92bc4e2e73d45397 |
1,201 | [
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"content": "Oops sorry, when you said (0.5, 0.5) are you sure you didnt mean (1/sqrt(2), 1/sqrt(2))?",
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"content": "Honestly, not sure. Probably. I really suck at vector math. Your answer was enough for me to find my old code for this though, so it's all good.",
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"timestamp": "03/12/2022 18:32:04",
"content": "Oh cool",
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"id": 952356996689055900,
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:06:41",
"content": "am i stupid or did my teacher put the wrong answer",
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"content": "Pinned a message.",
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"author_name": "rmiller",
"timestamp": "03/12/2022 19:13:00",
"content": "if ur just multiply the fractions it would be 1/18",
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"id": 952358642890448900,
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:13:14",
"content": "yea i did that but it says its wrong",
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:13:27",
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"author_name": "rmiller",
"timestamp": "03/12/2022 19:14:00",
"content": "do u have the beginning of the question with the amounts of marbles listed?",
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"id": 952358912848457900,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:14:18",
"content": "its the first one in the row",
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"id": 952358914303885300,
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"timestamp": "03/12/2022 19:14:19",
"content": "",
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"id": 952358977268772900,
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:14:34",
"content": "you have to get it out of the picture",
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"id": 952359068025118700,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:14:55",
"content": "oh ok so in the picture I see only 9 marbles, where did u get 12 from?",
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"id": 952359108034572300,
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:15:05",
"content": "i see 10...",
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"id": 952359125638086700,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:15:09",
"content": "wtf",
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"id": 952359132814528600,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:15:11",
"content": "my brain",
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"id": 952359186665181200,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:15:24",
"content": "idfk where i got 12 from",
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"id": 952359196509237200,
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"author_name": "yea bro",
"timestamp": "03/12/2022 19:15:26",
"content": "lemme try with 10",
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"timestamp": "03/12/2022 19:15:27",
"content": "nah ur right I enlarged it to check lmao",
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"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:15:36",
"content": "I see 10 now",
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},
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"id": 952359383348703200,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:16:10",
"content": "lmk what you get",
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},
{
"id": 952359460624539600,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:16:29",
"content": "kk",
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},
{
"id": 952359675070939100,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:20",
"content": "OH MY GOSH I DID IT",
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},
{
"id": 952359700295479400,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:17:26",
"content": "2/25?",
"attachments": [],
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},
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"id": 952359704938553500,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:27",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/952359704200372254/unknown.png",
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"id": 952359707950055600,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:28",
"content": "yea",
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},
{
"id": 952359729336832000,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:17:33",
"content": "nice good job",
"attachments": [],
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},
{
"id": 952359744268546000,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:37",
"content": "fuck i spent 2 hours using the wrong numbers",
"attachments": [],
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"reference": null
},
{
"id": 952359789462184100,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:17:47",
"content": "ive been there bro",
"attachments": [],
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},
{
"id": 952359810412712000,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:52",
"content": "ive done it way too many times",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952359832743182500,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:17:58",
"content": "once i thought a k was a 4",
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"reference": null
},
{
"id": 952359864116584400,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:18:05",
"content": "oh damn that sucks",
"attachments": [],
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"reference": null
},
{
"id": 952359891929010200,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:12",
"content": "atleast it wasnt on a test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952359947486785500,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:25",
"content": "well anyways thanks for your help",
"attachments": [],
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"reference": null
},
{
"id": 952359994051948500,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:18:36",
"content": "true but ur teacher is kinda doing u dirty for making you count from a tiny pic",
"attachments": [],
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"reference": null
},
{
"id": 952360005212975200,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:18:39",
"content": "yea ofc",
"attachments": [],
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},
{
"id": 952360019331010700,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:42",
"content": "thats true tho",
"attachments": [],
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"reference": null
},
{
"id": 952360053007077400,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:50",
"content": "imma close the channel now",
"attachments": [],
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"reference": null
},
{
"id": 952360055762727000,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:51",
"content": "bye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952360065162149900,
"author_id": 921231145084022800,
"author_name": "rmiller",
"timestamp": "03/12/2022 19:18:53",
"content": "bye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952360071067729900,
"author_id": 632644376669061100,
"author_name": "yea bro",
"timestamp": "03/12/2022 19:18:54",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 952360072745472000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 19:18:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | 8c65c7a9fca049838108c1674ce1dafb |
1,202 | [
{
"id": 907567725004615800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 04:50:07",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 907569626056110100,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 04:57:40",
"content": "hey can anyone help with this?",
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"timestamp": "11/09/2021 04:57:41",
"content": "Pinned a message.",
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"id": 907572631845339100,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:09:37",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 907572850632851500,
"author_id": 412109022846779400,
"author_name": "Natorian",
"timestamp": "11/09/2021 05:10:29",
"content": "Divide top and bottom by x^3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907573192820944900,
"author_id": 412109022846779400,
"author_name": "Natorian",
"timestamp": "11/09/2021 05:11:51",
"content": "when you're working out limits, divide by x to the highest degree of the denominator",
"attachments": [],
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"reference": null
},
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"id": 907573482609606700,
"author_id": 412109022846779400,
"author_name": "Natorian",
"timestamp": "11/09/2021 05:13:00",
"content": "@Copuchento",
"attachments": [],
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"id": 907573581519659000,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:13:23",
"content": "oh ok thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907574606393663500,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:17:28",
"content": "still kinda confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907575075887259600,
"author_id": 412109022846779400,
"author_name": "Natorian",
"timestamp": "11/09/2021 05:19:20",
"content": "can you post your result after dividing top and bottom by x^3?",
"attachments": [],
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},
{
"id": 907577556927152100,
"author_id": 710073177551667300,
"author_name": "C204",
"timestamp": "11/09/2021 05:29:11",
"content": "we can also apply l hospitals's rule 2 time",
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"reference": null
},
{
"id": 907577656797700100,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:29:35",
"content": "yeah yeah",
"attachments": [],
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"reference": null
},
{
"id": 907577666046132200,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:29:37",
"content": "ok i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907577819205361700,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:30:14",
"content": "you'll be left with 0/4+0/0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 907578143655743500,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:31:31",
"content": "so it's solved",
"attachments": [],
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"reference": null
},
{
"id": 907578162785972200,
"author_id": 106272109877018620,
"author_name": "Copuchento",
"timestamp": "11/09/2021 05:31:35",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 907578164375584800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 05:31:36",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | 4676928079b7441fa6754e208cfd2037 |
1,203 | [
{
"id": 952360325368393700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 19:19:55",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 952365261326024700,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:39:32",
"content": "what is the cdp equation of binomial distribution?",
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},
{
"id": 952365263033102300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 19:39:32",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 903430332324405200,
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"id": 952365635734732800,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:41:01",
"content": "is it this function?",
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{
"id": 952366249877319700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/12/2022 19:43:28",
"content": "looks like sum of binomials?",
"attachments": [],
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"name": "PT",
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}
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{
"id": 952366294072688600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/12/2022 19:43:38",
"content": "cdp",
"attachments": [],
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"reference": null
},
{
"id": 952366300666142700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/12/2022 19:43:40",
"content": ":thonk:",
"attachments": [],
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},
{
"id": 952366363454890100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/12/2022 19:43:55",
"content": "what do you mean cdp",
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},
{
"id": 952366380500541400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/12/2022 19:43:59",
"content": "what does it stand for",
"attachments": [],
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"reference": null
},
{
"id": 952366741646893000,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:45:25",
"content": "CDF* typo",
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{
"id": 952366772990906400,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:45:32",
"content": "my bad",
"attachments": [],
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},
{
"id": 952368068376526800,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 19:50:41",
"content": "then yes",
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},
{
"id": 952368113469501400,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 19:50:52",
"content": "$F(x):=P(X\\leq x)$",
"attachments": [],
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"reference": null
},
{
"id": 952368122248167400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/12/2022 19:50:54",
"content": "**Mosh**",
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},
{
"id": 952368122768281600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/12/2022 19:50:54",
"content": "Yes, the CDF of any discrete function is $F(x) = P(X\\leq x) = \\sum_{n\\leq x}P(X=n)$",
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},
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"id": 952368365480054800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/12/2022 19:51:52",
"content": "**Zybikron**",
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"id": 952368720557269000,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:53:17",
"content": "thanks what about the CDF of geometric distribution",
"attachments": [],
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},
{
"id": 952369333517033600,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 19:55:43",
"content": "is it just 1 - (1-p)^x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952372083407593500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/12/2022 20:06:38",
"content": "You can google that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952372637013774300,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "03/12/2022 20:08:50",
"content": "👍",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952376413032415200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 20:23:51",
"content": "@PT Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 20:33:47",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | 1d11f2311e4142d1b7e9709739283dfb |
1,204 | [
{
"id": 952379168245567600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 20:34:48",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952379725697921000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 20:37:00",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 952379723810504800,
"channelId": 903430332324405200,
"guildId": null
}
},
{
"id": 952381718294327300,
"author_id": 697542782486708200,
"author_name": "tonic",
"timestamp": "03/12/2022 20:44:56",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 952381719766515700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 20:44:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-10 | 424a41de431d489f991b4eb5fa003d67 |
1,205 | [
{
"id": 952381813559529600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 20:45:18",
"content": "yes",
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},
{
"id": 952381825119043600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 20:45:21",
"content": "approach was perfect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952381854705676400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/12/2022 20:45:28",
"content": "not sure why u put 90 twice tho @tonic",
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"id": 952399980889526300,
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"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 21:57:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952400883742806000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 22:01:05",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 952400881888944100,
"channelId": 903430332324405200,
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}
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"id": 952401111757766700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/12/2022 22:01:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | 6f201fef6d834cf3bf38d5f5e4a87c51 |
1,206 | [
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"id": 952401155655340000,
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] | help-10 | 8149c02a3b854e56ab4c77675c655afe |
1,207 | [
{
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"content": "Not really 😪",
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"author_name": "Jeffrey Horne",
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"content": "I still don’t get it😀",
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"content": "Wait I think I might",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:52:06",
"content": "Would the domain include-3",
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"timestamp": "03/12/2022 22:53:41",
"content": "Ok ok would it also have infinity since -3 is the only point",
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"timestamp": "03/12/2022 22:53:58",
"content": "?",
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"id": 952414234095022200,
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"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:54:08",
"content": "i'm not sure what you mean by that",
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"id": 952414325937676300,
"author_id": 667920171905843200,
"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:54:30",
"content": "Is the domain just -3?",
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"author_id": 200013547491688450,
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"timestamp": "03/12/2022 22:54:57",
"content": "no",
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"timestamp": "03/12/2022 22:55:09",
"content": "the domain *includes* -3, but the graph covers much much more than that",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:56:04",
"content": "Yes so would it be like (♾,-3)",
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"timestamp": "03/12/2022 22:56:33",
"content": "does it go to infinity?",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:56:48",
"content": "I mean it looks like it does",
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"id": 952414950003986400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:56:59",
"content": "what direction is it going in?",
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"id": 952415001698779100,
"author_id": 667920171905843200,
"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:57:11",
"content": "The left",
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"id": 952415047102124000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:57:22",
"content": "which covers what type of numbers?",
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"id": 952415067637424100,
"author_id": 667920171905843200,
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"content": "Negative",
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"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:57:36",
"content": "so, care to redo your answer?",
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"timestamp": "03/12/2022 22:57:39",
"content": "it's not infinity, but close",
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"content": "-8?",
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"content": "is 8 supposed to denote infinity lol",
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"id": 952415291604889600,
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"timestamp": "03/12/2022 22:58:20",
"content": "No😪",
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"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:58:31",
"content": "it's going in the negative direction... forever",
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"id": 952415387495059500,
"author_id": 200013547491688450,
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"timestamp": "03/12/2022 22:58:43",
"content": "so what is it going towards",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:58:56",
"content": "-♾",
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"id": 952415457317621800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/12/2022 22:59:00",
"content": "yep",
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"timestamp": "03/12/2022 22:59:13",
"content": "Ok ok",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:59:16",
"content": "Thank you",
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"author_name": "Jeffrey Horne",
"timestamp": "03/12/2022 22:59:57",
"content": "For the range it doesn’t go past 2 or -2 but I don’t think that’s right",
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"content": "think about what that graph is doing",
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"timestamp": "03/12/2022 23:00:14",
"content": "if you were to expand it out",
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"timestamp": "03/12/2022 23:00:23",
"content": "It will keep going up",
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"timestamp": "03/12/2022 23:00:27",
"content": "(and down)",
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"timestamp": "03/12/2022 23:00:46",
"content": "So just (♾,-♾)",
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"timestamp": "03/12/2022 23:01:34",
"content": "normally the lower number is represented first",
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"timestamp": "03/12/2022 23:01:46",
"content": "Oh ok thank you",
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"timestamp": "03/12/2022 23:02:54",
"content": "Alright awesome",
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"timestamp": "03/12/2022 23:04:42",
"content": "How do I close it?",
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"id": 952416910623002600,
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"timestamp": "03/12/2022 23:04:46",
"content": "`.close`",
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] | help-10 | 801530241083434aa65be53c1a29d2cc |
1,208 | [
{
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"content": "I not sure if I am going crazy or the textbook is wrong but the gradient is 1 when x-interpect = 1 and the y-intercept = 1.... right?",
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"content": "the text book is saying its -1",
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"content": "Question 7c)",
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"content": "that equation becomes ``y = -x - 1``",
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"content": "I got the equation to become y = -x +1",
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"content": "thats what I did @kinglacto",
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"content": "the question says ``x + y + 1 = 0``",
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"id": 952440645329494000,
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"timestamp": "03/13/2022 00:39:05",
"content": "ohhhhhhh",
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"timestamp": "03/13/2022 00:39:22",
"content": "I am so dumb",
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"timestamp": "03/13/2022 00:39:25",
"content": "sorry....",
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"timestamp": "03/13/2022 00:39:36",
"content": "thank you for pointing that out",
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"id": 952440781073961000,
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"content": ".close",
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}
] | help-10 | 09aeaf6ee9f4404db82aeb6600069456 |
1,209 | [
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"content": "Available help channel!",
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},
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"id": 952441857311379500,
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"content": "Pinned a message.",
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"timestamp": "03/13/2022 00:44:29",
"content": "Can someone help me with this?",
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"id": 952442473379168300,
"author_id": 803997344613662700,
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"timestamp": "03/13/2022 00:46:21",
"content": "is that a test",
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"content": "@Fade Has your question been resolved?",
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"content": "it’s a question from previous year question bank",
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"content": "which was asked for 10 marks",
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"content": "@Fade Has your question been resolved?",
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] | help-10 | 6a9f6bf1d3bf4c0d9ad5203c5f3d4008 |
121 | [
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"content": "Available help channel!",
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"content": "How do you draw a sketch of a graph from a derivative",
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"id": 932726936839524500,
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"content": "do you have an example? it kinda depends",
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"timestamp": "01/17/2022 15:03:51",
"content": "Because you can not know the y-coördinate",
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"author_name": "C-H-I-T-A-N",
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"content": "Does that mean that you do not draw the x-axis?",
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"content": "In my head it should",
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"content": "If you aren't given at least one value of the function at some point, you can't really graph it",
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"timestamp": "01/17/2022 15:04:55",
"content": "But if you are",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:05:12",
"content": "We know that a negative parabola has (a, 0) and (b,0)",
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"timestamp": "01/17/2022 15:05:17",
"content": "a and b are given but I forgot",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/17/2022 15:05:41",
"content": "Oh, so you know the roots?",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:05:45",
"content": "i.e. a parabola with a mininum",
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"timestamp": "01/17/2022 15:05:53",
"content": "I do",
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"timestamp": "01/17/2022 15:06:05",
"content": "This parabola is the derivative of the graph I should draw",
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"author_name": "A Lonely Bean",
"timestamp": "01/17/2022 15:06:23",
"content": "Oh",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:06:30",
"content": "So my question is: how do you draw the x-values without an x-axis",
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"timestamp": "01/17/2022 15:06:34",
"content": "what is the normal way?",
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"author_name": "A Lonely Bean",
"timestamp": "01/17/2022 15:07:12",
"content": "I guess what you can do it just draw the graph go up where the derivative is positive (the bigger the absolute value, the steeper) and go down where the derivative is negative (same thing here)",
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"timestamp": "01/17/2022 15:07:24",
"content": "True",
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"author_name": "A Lonely Bean",
"timestamp": "01/17/2022 15:07:35",
"content": "That's all I can say",
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"id": 932727892297801700,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:07:38",
"content": "But do I still draw the axis?",
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"author_name": "A Lonely Bean",
"timestamp": "01/17/2022 15:07:46",
"content": "Yeah I guess",
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"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:08:01",
"content": "Because I can not say if the graph is negative or positive",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:09:40",
"content": "what",
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"id": 932728413087760400,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:09:42",
"content": "yeah you can",
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"id": 932728447116136600,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:09:51",
"content": "if f(x) is decreasing, then f'(x) is negative",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:04",
"content": "***most of the time",
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"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:10:05",
"content": "But I only know f'(x)",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:14",
"content": "ur asking",
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"id": 932728558164533400,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:17",
"content": "if you can draw the graph of f(x)",
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"id": 932728561557717000,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:10:18",
"content": "And need to know f(x)",
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"id": 932728563843629200,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:18",
"content": "given f'(x)?",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:10:21",
"content": "Yes",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:32",
"content": "well there are an infinite set of solutoins",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:10:33",
"content": "So you know the shape of the graph",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:39",
"content": "all you really need to know is the shape",
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"id": 932728666956378100,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:10:43",
"content": "Yes",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:44",
"content": "cuz all of the graphs are just off by a constant",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:10:49",
"content": "so it doesn't really matter--you don't need to draw specific values of y",
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"id": 932728695058219000,
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"timestamp": "01/17/2022 15:10:50",
"content": "True",
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"id": 932728767816818800,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:11:07",
"content": "But do I still need to include a x-axis?",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:11:17",
"content": "yeah cuz the x's will always be the same",
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"id": 932728823710101500,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:11:20",
"content": "Because I can not say if it is above or below the formula?",
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"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:11:21",
"content": "the x is not dependent on the y",
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"id": 932728830316122200,
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"timestamp": "01/17/2022 15:11:22",
"content": "the other way around",
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"timestamp": "01/17/2022 15:11:29",
"content": "wym by this",
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"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:11:43",
"content": "If I draw the x-axis so that the graph is negative",
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"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:11:51",
"content": "That could be incorrect",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:11:59",
"content": "Because I do not know for certain that is the case",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:00",
"content": "how would you draw the x-axis so the graph is negativE?",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:03",
"content": "oh i c what u mean",
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"timestamp": "01/17/2022 15:12:09",
"content": "well for ur purposes it doesn't really matter",
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"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:12:16",
"content": "I hope it doesn't",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:17",
"content": "you can just assume that the constant would be 0",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:22",
"content": "for the purpose of drawing it",
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"id": 932729121983848400,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:31",
"content": "and then say somewhere else that the graph could be shifted up/down any amount",
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"id": 932729136970072000,
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"timestamp": "01/17/2022 15:12:35",
"content": "if you wanted to be really specifiuc",
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"id": 932729143714521200,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:12:37",
"content": "Maybe I should add a disclaimer or paper or something",
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"id": 932729167068401700,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:12:42",
"content": "To be safe",
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"id": 932729175285055600,
"author_id": 775805420848939000,
"author_name": "C-H-I-T-A-N",
"timestamp": "01/17/2022 15:12:44",
"content": "Thank you",
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},
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"id": 932729195237355500,
"author_id": 328662734008746000,
"author_name": "Geopchad",
"timestamp": "01/17/2022 15:12:49",
"content": "you're welcome",
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"timestamp": "01/17/2022 15:12:53",
"content": ".close",
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"timestamp": "01/17/2022 15:12:54",
"content": "Channel closed",
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] | help-10 | 1e509069d0b54f3c8077dec68872ad8f |
1,210 | [
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"timestamp": "03/13/2022 03:02:15",
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"content": "By definition, those are 3+(1+2+…+5) independent linear equations, so 25-3-(1+…+5)=7",
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"timestamp": "03/13/2022 03:06:55",
"content": "Pinned a message.",
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"author_name": "Cogwheels of the mind",
"timestamp": "03/13/2022 03:07:00",
"content": ".close",
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] | help-10 | 2c927cb7f473482286d3d133fc111d72 |
1,211 | [
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"id": 952465272659394600,
"author_id": 805217272087838700,
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"timestamp": "03/13/2022 03:16:56",
"content": "Available help channel!",
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"id": 952465429568303100,
"author_id": 789861974255075300,
"author_name": "Renè",
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"id": 952465431258628100,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"timestamp": "03/13/2022 03:17:55",
"content": "bout kepler gravity",
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"id": 952466264356454400,
"author_id": 789861974255075300,
"author_name": "Renè",
"timestamp": "03/13/2022 03:20:53",
"content": "sattelite orbiting 🌍 at height of 600 km, if centripetal acceleration of sattelite is 7.80 m/s^2 ,calc the linear speed",
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"id": 952466430085972000,
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"author_name": "Renè",
"timestamp": "03/13/2022 03:21:32",
"content": "i use a=v^2/r",
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"id": 952466460784066600,
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"timestamp": "03/13/2022 03:21:40",
"content": "but got wrong",
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"id": 952466702090784800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/13/2022 03:22:37",
"content": "What r did you use",
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},
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"id": 952467157109833700,
"author_id": 789861974255075300,
"author_name": "Renè",
"timestamp": "03/13/2022 03:24:26",
"content": "6.37×10^6",
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},
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"id": 952467187321413600,
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"author_name": "Renè",
"timestamp": "03/13/2022 03:24:33",
"content": "r",
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"id": 952468046868521000,
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"author_name": "riemann",
"timestamp": "03/13/2022 03:27:58",
"content": "How'd you get this number",
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"id": 952468105727184900,
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"author_name": "Renè",
"timestamp": "03/13/2022 03:28:12",
"content": "given in the question",
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"id": 952468146869112800,
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"author_name": "riemann",
"timestamp": "03/13/2022 03:28:22",
"content": "Show the question",
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"timestamp": "03/13/2022 03:43:12",
"content": "@Renè Has your question been resolved?",
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"timestamp": "03/13/2022 04:18:34",
"content": "@Renè Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 04:48:34",
"content": "Channel closed",
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}
] | help-10 | f0dfa459dc154bc19896f32728cfed00 |
1,212 | [
{
"id": 952488585758642200,
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 04:49:35",
"content": "Available help channel!",
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},
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"id": 952490678590517200,
"author_id": 692606627131555800,
"author_name": "LilYeetzina",
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"timestamp": "03/13/2022 04:59:24",
"content": "I don't get why the x component is equal to m(a cos 50)",
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"author_id": 692606627131555800,
"author_name": "LilYeetzina",
"timestamp": "03/13/2022 05:00:00",
"content": "And how does the second line come about?",
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"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/13/2022 05:03:39",
"content": "Draw a right triangle please. If you have worked with vectors before, you would know that legs of triangle would sum up to vector on hypotenuse",
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"content": "Yes I understand that",
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"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/13/2022 05:04:25",
"content": "That is to say, v_x + v_y = v\nGood?",
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"author_name": "LilYeetzina",
"timestamp": "03/13/2022 05:04:35",
"content": "Yup",
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"id": 952492527771087000,
"author_id": 688013925643714600,
"author_name": "КП-13 Скопик",
"timestamp": "03/13/2022 05:05:15",
"content": "Now, tell me, how to express leg through hypotenuse knowing angles?",
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"id": 952492555856126000,
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"author_name": "HeadShotCem",
"timestamp": "03/13/2022 05:05:21",
"content": "Have you tried drawing the components of each force? You will see that F(1) has no effect on a(x)",
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"timestamp": "03/13/2022 05:06:21",
"content": "",
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"author_name": "LilYeetzina",
"timestamp": "03/13/2022 05:06:54",
"content": "Yeah I was thinking that",
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"timestamp": "03/13/2022 05:07:38",
"content": "So you are left with F_2x = m * a_x right",
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"timestamp": "03/13/2022 05:07:48",
"content": "Yes",
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"author_name": "КП-13 Скопик",
"timestamp": "03/13/2022 05:09:03",
"content": "Now, you cant compute a_x?",
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"author_name": "LilYeetzina",
"timestamp": "03/13/2022 05:09:17",
"content": "Oh is that why it's a cos 50?",
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"author_name": "HeadShotCem",
"timestamp": "03/13/2022 05:09:30",
"content": "",
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"author_name": "КП-13 Скопик",
"timestamp": "03/13/2022 05:09:38",
"content": "Because it is in a right triangle, it is a handy proection, yes",
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"timestamp": "03/13/2022 05:10:50",
"content": "Great! I understand it now",
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"timestamp": "03/13/2022 05:11:03",
"content": "Thank you @КП-13 Скопик @HeadShotCem",
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"timestamp": "03/13/2022 05:11:14",
"content": "👍",
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "03/13/2022 05:11:14",
"content": ":catlove:",
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"author_name": "LilYeetzina",
"timestamp": "03/13/2022 05:11:44",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 05:11:45",
"content": "Channel closed",
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] | help-10 | 292eb5b40b3b4f5f8d022cf03f8ce3bb |
1,213 | [
{
"id": 907578416738492400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 05:32:36",
"content": "Available help channel!",
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},
{
"id": 907579306086117400,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:36:08",
"content": "hello",
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"id": 907579307646402600,
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"content": "Pinned a message.",
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"author_id": 660109873937383400,
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"timestamp": "11/09/2021 05:36:23",
"content": "i need help",
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},
{
"id": 907579468837703700,
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"author_name": "adrían",
"timestamp": "11/09/2021 05:36:47",
"content": "can i have a formula to solve number 40",
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"id": 907579567621951500,
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"timestamp": "11/09/2021 05:37:10",
"content": "how do i do this help😭",
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},
{
"id": 907579730809729000,
"author_id": 710073177551667300,
"author_name": "C204",
"timestamp": "11/09/2021 05:37:49",
"content": "which one?",
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},
{
"id": 907579753618341900,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:37:55",
"content": "number 40.",
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},
{
"id": 907580086331523100,
"author_id": 710073177551667300,
"author_name": "C204",
"timestamp": "11/09/2021 05:39:14",
"content": "diameter=32+7*year",
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},
{
"id": 907580364812349400,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:40:20",
"content": "is that \n\n3cm=32+7",
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},
{
"id": 907580519376621600,
"author_id": 710073177551667300,
"author_name": "C204",
"timestamp": "11/09/2021 05:40:57",
"content": "no 88=32+7y",
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},
{
"id": 907580562666053600,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:41:08",
"content": "oh i forgot the pi",
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},
{
"id": 907580624796266500,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:41:22",
"content": "should i multiply the diameter",
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},
{
"id": 907580648649269200,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:41:28",
"content": "by 3.14",
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},
{
"id": 907580657037893600,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:41:30",
"content": "or something",
"attachments": [],
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"reference": null
},
{
"id": 907580952774078500,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:42:41",
"content": "32x3.14=100.48",
"attachments": [],
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},
{
"id": 907580991026135000,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:42:50",
"content": "im confused",
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},
{
"id": 907581588601184300,
"author_id": 660109873937383400,
"author_name": "adrían",
"timestamp": "11/09/2021 05:45:12",
"content": ".close",
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},
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"id": 907581590006272000,
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"timestamp": "11/09/2021 05:45:13",
"content": "Channel closed",
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] | help-10 | b637a10420374229965eb2b1bb7c74af |
1,214 | [
{
"id": 952494417682501800,
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"timestamp": "03/13/2022 05:12:45",
"content": "Available help channel!",
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},
{
"id": 952494566659985400,
"author_id": 439535476479623200,
"author_name": "ofekiato",
"timestamp": "03/13/2022 05:13:21",
"content": "hey 🙂",
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},
{
"id": 952494568488714400,
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 05:13:21",
"content": "Pinned a message.",
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"author_id": 439535476479623200,
"author_name": "ofekiato",
"timestamp": "03/13/2022 05:13:31",
"content": "what is the lowest value of n such that an algorithm that has a runtime of 100(n^2) will run faster than an algorithm with a run time of 2^n on the same machine?",
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"author_id": 439535476479623200,
"author_name": "ofekiato",
"timestamp": "03/13/2022 05:14:20",
"content": "i tried solving this and got n= log100 + 2logn",
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"id": 952494848743718900,
"author_id": 439535476479623200,
"author_name": "ofekiato",
"timestamp": "03/13/2022 05:14:28",
"content": "but idk how to proceed",
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},
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"id": 952498624468750300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 05:29:28",
"content": "@ofekiato Has your question been resolved?",
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"timestamp": "03/13/2022 05:44:28",
"content": "Channel closed",
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}
] | help-10 | 1e828e44d511486e9e58ee6a87f16c56 |
1,215 | [
{
"id": 952502653080961000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 05:45:29",
"content": "Available help channel!",
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},
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"id": 952506170617249800,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 05:59:27",
"content": "Hello, I am trying to show that this is logically equivalent, am I doing it right?",
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"timestamp": "03/13/2022 05:59:28",
"content": "Pinned a message.",
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"id": 952507742709506000,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "03/13/2022 06:05:42",
"content": "yes but you accidentally put a not symbol on the 3rd line",
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"id": 952507903456215000,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:06:20",
"content": "Oohh, okay lemme fix it, thanks!",
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"id": 952509227090456600,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:11:36",
"content": "Oh nvm, wait imma try it",
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},
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"id": 952509696089137200,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:13:28",
"content": "Here, Is this correct?",
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 06:28:28",
"content": "@CC50 Has your question been resolved?",
"attachments": [],
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"discriminator": "0247",
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"id": 952513600428331000,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:28:59",
"content": "I also have another answer, lemme write it quick",
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"id": 952516945733898400,
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"author_name": "CC50",
"timestamp": "03/13/2022 06:42:16",
"content": "Here's my other solution",
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"id": 952516979305115600,
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"author_name": "CC50",
"timestamp": "03/13/2022 06:42:24",
"content": "I don't know which to use",
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},
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"id": 952517247472132100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 06:43:28",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 2a2567f5123741cfbf40305209fc5fcb |
1,216 | [
{
"id": 952517733117993100,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:45:24",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 952517739648548900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 06:45:26",
"content": "✅",
"attachments": [],
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},
{
"id": 952517808217006100,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:45:42",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 952518347646468100,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:47:51",
"content": "I have two answers, which is correct?",
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"id": 952518454408278000,
"author_id": 439735968472236000,
"author_name": "CC50",
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"content": "",
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"id": 952519391738757100,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:51:59",
"content": "How do you get from the 1st to the 2nd line in the first answer ?",
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"id": 952519470134476800,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:52:18",
"content": "oh ok",
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},
{
"id": 952519479601029100,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:52:20",
"content": "sry my bad",
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{
"id": 952519788398260400,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 06:53:34",
"content": "The question is to show that this are logically equivalent, sorry I forgot to include it.",
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"id": 952519850612392000,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:53:49",
"content": "yh nvm",
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"id": 952519870405308500,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:53:54",
"content": "i get that",
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"id": 952520870721638400,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:57:52",
"content": "I'd do it this way :\n$$\\neg p \\to (q\\to r)\\equiv (\\neg p\\lor q)\\to r$$\nimbricated implications\n$$(\\neg p\\lor q)\\to r\\equiv q\\to (\\neg p \\to r)\\equiv q\\to (p\\lor r)$$",
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},
{
"id": 952521012942098600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/13/2022 06:58:26",
"content": "**Silfer**",
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"id": 952521163618283500,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:59:02",
"content": "there is something weird in your answers",
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{
"id": 952521209474605000,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:59:13",
"content": "you start from the answer to get to the start",
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"id": 952521306547552300,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 06:59:36",
"content": "but both answers seem correct to me",
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{
"id": 952522128446599300,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 07:02:52",
"content": "I use this table for the laws",
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"id": 952522357782769700,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 07:03:47",
"content": "Can you do the step by step process, because I can't understand it",
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},
{
"id": 952522450959204400,
"author_id": 439735968472236000,
"author_name": "CC50",
"timestamp": "03/13/2022 07:04:09",
"content": "our prof told us to always include the laws for every steps",
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"id": 952526226604560500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 07:19:09",
"content": "@CC50 Has your question been resolved?",
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"id": 952528113458364400,
"author_id": 294136651804835840,
"author_name": "Silfer",
"timestamp": "03/13/2022 07:26:39",
"content": "Ho my bad, implicated implications are in the lesson my teacher gave me but i'll prove it : Using implication twice\n$$p\\to(q\\to r)\\equiv \\neg p \\lor (\\neg q \\lor r)$$\nUsing associativity and commutativity :\n$$p\\to(q\\to r)\\equiv (\\neg q \\lor \\neg p)\\lor r$$\nUsing associativity and then implication twice :\n$$p\\to(q\\to r)\\equiv q\\to (p\\to r)$$",
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"id": 952528196396531800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/13/2022 07:26:59",
"content": "**Silfer**",
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 07:34:09",
"content": "Channel closed",
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}
] | help-10 | 60c1b98610874bf7abece22c4029dfda |
1,217 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 08:32:59",
"content": "Available help channel!",
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},
{
"id": 952546830355398800,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:41:01",
"content": "Can somebody please help me with this",
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"timestamp": "03/13/2022 08:41:02",
"content": "Pinned a message.",
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{
"id": 952547194823647200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:42:28",
"content": "ok",
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},
{
"id": 952547278604861400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:42:48",
"content": "so",
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},
{
"id": 952547293716967600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:42:52",
"content": "there are 2 cases",
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"id": 952547411887284200,
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"author_name": "Aykay",
"timestamp": "03/13/2022 08:43:20",
"content": "okay",
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},
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"id": 952547504803692700,
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"author_name": "Master Oogway",
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"content": "",
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"id": 952547556313935900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:43:54",
"content": "solve each one",
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},
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"id": 952547607278940200,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:44:07",
"content": "I computed first one, x is greater than or equal to 2,5 and 6",
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{
"id": 952547706658775000,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:44:30",
"content": "will the second one be relevant since x is a real number",
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},
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"id": 952547848908595300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:45:04",
"content": "yeah",
"attachments": [],
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},
{
"id": 952548248889999400,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:46:40",
"content": "so x is either great than or = to 2,5,6 or less than 2,5 & 6?",
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},
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"id": 952548387247517700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:13",
"content": "what",
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},
{
"id": 952548412417519600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:19",
"content": "thats not how you rite it",
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},
{
"id": 952548474665185300,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:47:33",
"content": "can you please tell then",
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"id": 952548493505994800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:38",
"content": "ok",
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},
{
"id": 952548511499563000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:42",
"content": "solve the first",
"attachments": [],
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},
{
"id": 952548563123052500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:54",
"content": "eh",
"attachments": [],
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},
{
"id": 952548583998115800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:47:59",
"content": "ill just solve it in paint",
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},
{
"id": 952548591182938100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:48:01",
"content": "1 sec",
"attachments": [],
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},
{
"id": 952548650150670500,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:48:15",
"content": "stream it?",
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},
{
"id": 952548692970328000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:48:25",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952548886008971400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:49:11",
"content": "i cant stream",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952549238192083000,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 08:50:35",
"content": "np",
"attachments": [],
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"reference": null
},
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"id": 952549695476101100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:52:24",
"content": "",
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"id": 952549714220441600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:52:29",
"content": "this is for the first",
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},
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"content": "I'll try to solve it by myself now",
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"content": "what will be the final answer though",
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"content": "forth",
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"content": "now",
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"timestamp": "03/13/2022 08:56:36",
"content": "between 1 and 2",
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"author_name": "Aykay",
"timestamp": "03/13/2022 08:56:39",
"content": "which option",
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"timestamp": "03/13/2022 08:57:08",
"content": "now intersec",
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"content": "t",
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"timestamp": "03/13/2022 08:57:14",
"content": "and find the answer",
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"author_name": "Master Oogway",
"timestamp": "03/13/2022 08:57:17",
"content": "ill let you",
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"timestamp": "03/13/2022 08:57:49",
"content": "so? whats the answer",
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"author_id": 437166198166257660,
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"timestamp": "03/13/2022 08:58:28",
"content": "hello?",
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"author_name": "Aykay",
"timestamp": "03/13/2022 08:59:00",
"content": "yeah I am trying",
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"author_name": "Aykay",
"timestamp": "03/13/2022 08:59:12",
"content": "I am bit of a beginner so a lil confused",
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"author_name": "Aykay",
"timestamp": "03/13/2022 08:59:19",
"content": "give me a min pls",
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"timestamp": "03/13/2022 08:59:21",
"content": "intersect the 2 above",
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"timestamp": "03/13/2022 08:59:23",
"content": "sure",
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"timestamp": "03/13/2022 08:59:37",
"content": "you just need to put them next to eachother",
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"timestamp": "03/13/2022 08:59:39",
"content": ")",
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"id": 952551607130808300,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:00:00",
"content": "x E [2,5] U [6, infinity]",
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"id": 952551619055218800,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:00:03",
"content": "?",
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{
"id": 952551693315362800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:00:21",
"content": "yes",
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"id": 952551696825978900,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:00:22",
"content": "but",
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"id": 952551734096588800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:00:30",
"content": "at 5 and at infinity its )",
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"timestamp": "03/13/2022 09:00:40",
"content": "not ]",
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"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:01:16",
"content": "or [ if you want",
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"id": 952551931866386400,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:01:18",
"content": "what topic does this belong to btw",
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"id": 952551975587827700,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:01:28",
"content": "I studied this long back in school",
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"id": 952552000204189700,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:01:34",
"content": "now I need this for a test",
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"id": 952552041044131800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:01:44",
"content": "inequalities and intervals",
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"id": 952552287123959800,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:02:42",
"content": "thanks so it'll be option 4 right?",
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"id": 952552314508574700,
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"timestamp": "03/13/2022 09:02:49",
"content": "yes",
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"id": 952552342832705500,
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"author_name": "Aykay",
"timestamp": "03/13/2022 09:02:56",
"content": "Thanks a lot fren",
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"id": 952552354413162500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:02:58",
"content": "ok",
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"id": 952552370305376300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:02",
"content": "is it good?",
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"id": 952552382431133700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:05",
"content": "corrrect?",
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"id": 952552398122025100,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:09",
"content": "yes",
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"id": 952552419114483700,
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"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:14",
"content": "ok",
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"id": 952552427465363600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:16",
"content": "nice",
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"id": 952552437489758200,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:18",
"content": "I have a few more",
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"id": 952552470947725400,
"author_id": 874344936164712400,
"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:26",
"content": "let's discuss them other time",
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"timestamp": "03/13/2022 09:03:27",
"content": "i cant",
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"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:34",
"content": "oh sorry",
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"id": 952552529676353500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:40",
"content": "i have to eat",
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"id": 952552549016285200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "03/13/2022 09:03:45",
"content": "maybe after",
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"id": 952552570893774800,
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"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:50",
"content": "sure please",
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"id": 952552581564072000,
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"timestamp": "03/13/2022 09:03:53",
"content": "ok",
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"id": 952552594604179500,
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"author_name": "Aykay",
"timestamp": "03/13/2022 09:03:56",
"content": "can I add you as a fren?",
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"content": "yes",
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 09:18:56",
"content": "@Aykay Has your question been resolved?",
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"timestamp": "03/13/2022 09:33:56",
"content": "Channel closed",
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] | help-10 | cd964a02f49d4479931c115140edc41f |
1,218 | [
{
"id": 952591179164295200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 11:37:15",
"content": "Available help channel!",
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},
{
"id": 952591962563817600,
"author_id": 458300060455665660,
"author_name": "Fegres",
"timestamp": "03/13/2022 11:40:22",
"content": "Hi\nI'm need to prove that you can't define an implication or a disjunction by using an alternative and a conjunction\nHow can I prove this problem?",
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"id": 952591965013307400,
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"timestamp": "03/13/2022 11:40:22",
"content": "Pinned a message.",
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"timestamp": "03/13/2022 11:55:22",
"content": "@Fegres Has your question been resolved?",
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"content": "@Fegres Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | b0572a3e9b204827af017c2a03a4fa71 |
1,219 | [
{
"id": 952611807619588100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 12:59:13",
"content": "Available help channel!",
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},
{
"id": 952616350373773300,
"author_id": 528359083506401300,
"author_name": "AJay",
"timestamp": "03/13/2022 13:17:16",
"content": "can anyone point me to a resource (or even shed some info here) how you can go about including a variable outside of a radical into a radical? \n\nfor example, y * sqrt (16 - y^2)\n\nis there a way to include the y within the sqrt(16 - y^2)?",
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"content": "Pinned a message.",
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"id": 952616974700142700,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "03/13/2022 13:19:45",
"content": "y * sqrt (16 - y^2) = sqrt(y^2(16-y^2))",
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{
"id": 952616979787808800,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "03/13/2022 13:19:46",
"content": "yeah y = √(y^2)",
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{
"id": 952617014818656300,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "03/13/2022 13:19:55",
"content": "and use radical laws",
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"id": 952617078182011000,
"author_id": 528359083506401300,
"author_name": "AJay",
"timestamp": "03/13/2022 13:20:10",
"content": "wow",
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"id": 952617135585251500,
"author_id": 528359083506401300,
"author_name": "AJay",
"timestamp": "03/13/2022 13:20:23",
"content": "Okay. thanks a ton!!",
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] | help-10 | c25414cc5ca0486d98e13fa95341909b |
122 | [
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"content": "Solve by factoring",
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"content": "3 x -36?",
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"content": "i did that and got 108",
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"content": "Is that 3 times -36?",
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"content": "then i didnt know what number multiplied to get -108 and adds to get -3",
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"content": "yes",
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"author_name": "Geopchad",
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"content": "you should first (to make it easier) divide everything by 3",
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"timestamp": "01/17/2022 15:24:26",
"content": "to get:",
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"timestamp": "01/17/2022 15:24:32",
"content": "$x^2-x-12 = 0$",
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"author_name": "TeXit",
"timestamp": "01/17/2022 15:24:34",
"content": "**Yottachad**",
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"author_name": "Geopchad",
"timestamp": "01/17/2022 15:24:42",
"content": "and this is much easier to factor than the last one",
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"timestamp": "01/17/2022 15:24:49",
"content": "mhm",
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"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:25:02",
"content": "and what if the number werent divisible by the leading coeffecient",
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"timestamp": "01/17/2022 15:25:19",
"content": "Then you can do the method you were doing",
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"timestamp": "01/17/2022 15:25:22",
"content": "yep",
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"content": "ok",
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"timestamp": "01/17/2022 15:25:26",
"content": "Or quadratic formula",
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"author_name": "Geopchad",
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"content": "$(3x+a)(x+b) = 0$",
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"timestamp": "01/17/2022 15:25:37",
"content": "**Yottachad**",
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"content": "then you would try to find a and b",
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"content": "how",
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"id": 932732522020872200,
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"timestamp": "01/17/2022 15:26:02",
"content": "zpp?",
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"timestamp": "01/17/2022 15:26:13",
"content": "mayb",
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:26:30",
"content": "Fyi factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54 and 108",
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"timestamp": "01/17/2022 15:26:48",
"content": "wait how did u get this",
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"content": "(1, 108), (2, 53), (3, 36), so on",
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"timestamp": "01/17/2022 15:28:10",
"content": "That's the general form because you know if there was no leading coefficient, the form is $(x + a)(x + b) = 0$",
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"timestamp": "01/17/2022 15:28:12",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:28:37",
"content": "But there is a coefficient of 3, meaning that when you FOIL, there has to be a 3x",
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"timestamp": "01/17/2022 15:29:03",
"content": "To obtain 3x^2",
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"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:29:38",
"content": "so where are we so far",
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"content": "You just factor $x^2-x-12 = 0$",
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"content": "**dldh06**",
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"timestamp": "01/17/2022 15:31:15",
"content": "$(x + 1) (x - 11)?$",
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"timestamp": "01/17/2022 15:31:17",
"content": "**BlzrdStrike**",
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"content": "No",
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"timestamp": "01/17/2022 15:31:54",
"content": "then what is it",
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:32:23",
"content": "Does -11 * 1 equal 12? And does it add up to -1?",
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"timestamp": "01/17/2022 15:32:46",
"content": "$(x - 1) (x + 11)??$",
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"timestamp": "01/17/2022 15:32:58",
"content": "**BlzrdStrike**",
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"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:33:00",
"content": "wait",
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"id": 932734395012505600,
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:33:29",
"content": "If you FOIL, does the math check out, to make $x^2-x-12 = 0$?",
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"timestamp": "01/17/2022 15:33:32",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:33:33",
"content": "$(x - 1) (x + 12)$",
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"timestamp": "01/17/2022 15:33:36",
"content": "**BlzrdStrike**",
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"timestamp": "01/17/2022 15:34:09",
"content": "But does that sum to -1?",
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"timestamp": "01/17/2022 15:34:32",
"content": "$(x + 1) (x - 12)$",
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"timestamp": "01/17/2022 15:34:34",
"content": "**BlzrdStrike**",
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"id": 932734713762832500,
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"timestamp": "01/17/2022 15:34:45",
"content": "Still doesn't make a difference",
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"timestamp": "01/17/2022 15:34:57",
"content": "Try FOILing",
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"id": 932734786928250900,
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:35:02",
"content": "See that equals $x^2-x-12 = 0$",
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"id": 932734796935884900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2022 15:35:04",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:35:31",
"content": "idk",
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"timestamp": "01/17/2022 15:35:44",
"content": "Did you try to expand $(x + 1) (x - 12)$?",
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"timestamp": "01/17/2022 15:35:46",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:35:48",
"content": "no",
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"id": 932735010589507600,
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"timestamp": "01/17/2022 15:35:55",
"content": "So then expand it",
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"id": 932735013835919400,
"author_id": 757301836687605900,
"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:35:56",
"content": "fine",
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"author_id": 757301836687605900,
"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:36:30",
"content": "$x^2 - 12x + x -12$",
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"id": 932735167712329700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2022 15:36:33",
"content": "**BlzrdStrike**",
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"content": "Is that the same as the original problem, $x^2-x-12 = 0$",
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"content": "**dldh06**",
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"content": "no",
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"content": "So then what does that mean you should do?",
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"content": "not do my hw and play video games",
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"content": "jkjk",
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"content": "but",
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"timestamp": "01/17/2022 15:38:15",
"content": "like find a match for it",
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"content": "So what other factors of -12 could you use?",
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"content": "But it should also add up to -1",
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"content": "hm",
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"timestamp": "01/17/2022 15:39:15",
"content": "What are the factors of 12?",
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"content": "1 (-12)",
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"content": "-1 (12)",
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"content": "All the factors of -12",
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"content": "1, -12",
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"content": "2, -6",
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"timestamp": "01/17/2022 15:40:02",
"content": "3, -4",
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"timestamp": "01/17/2022 15:40:07",
"content": "4, -3",
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"content": "6, -2",
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"timestamp": "01/17/2022 15:40:26",
"content": "no more",
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"content": "12, -1",
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"content": "wait",
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"content": "3, -4",
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"author_name": "BlzrdStrike",
"timestamp": "01/17/2022 15:41:07",
"content": "IT WORKS!!!",
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"id": 932736328687300700,
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"timestamp": "01/17/2022 15:41:10",
"content": "right?",
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"timestamp": "01/17/2022 15:41:14",
"content": "Yes",
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"author_name": "BlzrdStrike",
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"content": "wAYYYYYYYAYYYY",
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"timestamp": "01/17/2022 15:41:29",
"content": "Because that adds up to -1 and multiplies to -12",
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"content": "ok",
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"content": "so",
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"timestamp": "01/17/2022 15:41:56",
"content": "$x - 3x - 4x -12$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2022 15:41:58",
"content": "**BlzrdStrike**",
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"content": "wait",
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"timestamp": "01/17/2022 15:42:29",
"content": "$x - 3x - 4x = 0$",
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"timestamp": "01/17/2022 15:42:31",
"content": "**BlzrdStrike**",
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"timestamp": "01/17/2022 15:42:34",
"content": "so now ZPP",
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"timestamp": "01/17/2022 15:42:45",
"content": "That's when you expand, but don't forget it's in the form (x + a)(x + b) = 0",
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"content": "what about zero product property",
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"content": "Where a and b where the factors you found",
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"content": "This isn't correct yet",
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"content": "Should look like this",
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"timestamp": "01/17/2022 15:43:48",
"content": "$(x - 3) (x - 4)$",
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"timestamp": "01/17/2022 15:43:51",
"content": "**BlzrdStrike**",
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"content": "= 0",
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"timestamp": "01/17/2022 15:43:57",
"content": "Close",
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:44:09",
"content": "Remember, you said it was 3 and -4",
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"timestamp": "01/17/2022 15:44:17",
"content": "So why is it -3 and -4?",
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"timestamp": "01/17/2022 15:44:27",
"content": "$(x + 3) (x - 4)$",
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"timestamp": "01/17/2022 15:44:41",
"content": "**BlzrdStrike**",
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"content": "$(x + 3) (x - 4) = 0$",
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"timestamp": "01/17/2022 15:44:53",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:44:56",
"content": "To make it more proper",
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"timestamp": "01/17/2022 15:45:00",
"content": "yes",
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"author_name": "dldh06",
"timestamp": "01/17/2022 15:45:42",
"content": "So zero product property, states that if given AB = 0, then either A = 0 or B = 0",
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"timestamp": "01/17/2022 15:46:09",
"content": "$x + 3 = 0, x = -3/\nx - 4 = 0, x = 4$",
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"timestamp": "01/17/2022 15:46:30",
"content": "**BlzrdStrike**",
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"timestamp": "01/17/2022 15:46:52",
"content": "You can just close each one with $",
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"content": "ok",
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"timestamp": "01/17/2022 15:47:03",
"content": "$$x + 3 = 0, x = -3$$\n$$x - 4 = 0, x = 4$$",
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"timestamp": "01/17/2022 15:47:06",
"content": "**dldh06**",
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"timestamp": "01/17/2022 15:47:11",
"content": "But yes",
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"timestamp": "01/17/2022 15:47:13",
"content": "This is it",
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"timestamp": "01/17/2022 15:47:18",
"content": "ok",
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"timestamp": "01/17/2022 15:47:26",
"content": "thx",
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"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 16:02:26",
"content": "@BlzrdStrike Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 4e91f38d222b494aafb3791ca1c1d900 |
1,220 | [
{
"id": 952617284512407700,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "03/13/2022 13:20:59",
"content": "Although ig √(y^2) is technically |y| so be careful about losing info about the sign",
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},
{
"id": 952617585420152800,
"author_id": 528359083506401300,
"author_name": "AJay",
"timestamp": "03/13/2022 13:22:11",
"content": "well, since there is a y already contained within the sqrt(), then would you not be able to already be able to determine that ?",
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},
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"id": 952617843843825700,
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"author_name": "kinglacto",
"timestamp": "03/13/2022 13:23:12",
"content": "if y were to be negative and you squared it and included it into the sqrt and for some reason, decided to bring it out",
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"content": "you would have to consider both signs ig",
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"timestamp": "03/13/2022 13:23:35",
"content": "that creates some extraneous solutions?",
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"timestamp": "03/13/2022 13:24:20",
"content": "hmm, youre right. interesting point",
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"content": "its not y that is contained it is the square of y that is contained",
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"content": "i overlooked that",
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"timestamp": "03/13/2022 13:25:54",
"content": "$y \\Rightarrow \\sqrt{y^2} = |y| ≠ y$",
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"content": "**kinglacto**",
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"content": "you can still include it though",
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"content": "hi can anyone help me understand where im going wrong, i think i got b wrong",
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"timestamp": "03/13/2022 13:32:19",
"content": "The 2c at b. is wrong",
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"content": "You're multiplying the (x, y) by c, not the f((x, y))",
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"timestamp": "03/13/2022 13:32:57",
"content": "Which in fact proves that f is not a linear transformation since f(c(x, y)) != cf((x, y))",
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"timestamp": "03/13/2022 13:33:20",
"content": "So, in b. First and third answer are wrong",
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"timestamp": "03/13/2022 13:35:05",
"content": "ohh ok so is a and c correct but in b the problem is they aren't equal",
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"timestamp": "03/13/2022 13:35:25",
"content": "Yes, and also that the first answer in b is incorrect",
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"timestamp": "03/13/2022 13:36:27",
"content": "L what did i miss",
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"timestamp": "03/13/2022 13:36:47",
"content": "The first answer of the a.",
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"timestamp": "03/13/2022 13:37:04",
"content": "Again, you're adding (x1, y1) and (x2, y2)",
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"timestamp": "03/13/2022 13:37:28",
"content": "So it should be 6(y1+y2)-7(x1+x2)+2",
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"timestamp": "03/13/2022 13:37:44",
"content": "(So they're, again, not equal)",
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"timestamp": "03/13/2022 13:38:37",
"content": "oh oki how does this make it a lin transformation",
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"timestamp": "03/13/2022 13:38:56",
"content": "Well, it's not a linear transformation",
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"timestamp": "03/13/2022 13:39:11",
"content": "Because f(x+y) != f(x) + f(y) and f(cx) != cf(x)",
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"content": "is that the only way to distinguish if its a lin transformation",
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"timestamp": "03/13/2022 13:40:22",
"content": "For a function to be a linear transformation, you need these two conditions",
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"timestamp": "03/13/2022 13:40:33",
"content": "If one of them is not verified, then it's not a linear transformation",
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"timestamp": "03/13/2022 13:40:42",
"content": "Another thing is f(0) = 0",
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"timestamp": "03/13/2022 13:41:06",
"content": "what's this",
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"author_name": "Hildegunst Taillemythes",
"timestamp": "03/13/2022 13:41:36",
"content": "Well, a linear application always send the 0 of the first vector space to the 0 of the second vector space",
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"timestamp": "03/13/2022 13:42:34",
"content": "i think i get it, so for any function where x = 0, f(0) = 0",
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"timestamp": "03/13/2022 13:42:53",
"content": "No, for any linear transformation",
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"timestamp": "03/13/2022 13:43:28",
"content": "bc it's a another condition of lin transformations?",
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"timestamp": "03/13/2022 13:43:48",
"content": "No, it's something you deduce from the to conditions I mentionned",
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"timestamp": "03/13/2022 13:44:09",
"content": "f(0) = f(2*0) = f(0) + f(0)",
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"timestamp": "03/13/2022 13:44:19",
"content": "So you must have f(0) = 0",
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"timestamp": "03/13/2022 13:45:07",
"content": "ah i think i got it, is there anything else i should know about lin transformations",
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"timestamp": "03/13/2022 13:45:44",
"content": "That's the main things you need to know I think",
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"timestamp": "03/13/2022 13:46:14",
"content": "(For now)",
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"timestamp": "03/13/2022 13:46:36",
"content": "ok ty i got the problem correct",
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"timestamp": "03/13/2022 13:46:39",
"content": ".close",
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"timestamp": "03/13/2022 13:46:39",
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] | help-10 | 282e3bec36d74727ba8b217cd30bf0ed |
1,221 | [
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"content": "Available help channel!",
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"timestamp": "03/13/2022 13:50:29",
"content": "31",
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"content": "Pinned a message.",
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"timestamp": "03/13/2022 13:50:40",
"content": "I have no idea where i wrong",
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"timestamp": "03/13/2022 13:51:02",
"content": "doing question 31",
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"content": "@胡蝶 しのぶ こちょう しのぶ check how you set up your integral",
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"content": "@胡蝶 しのぶ こちょう しのぶ Has your question been resolved?",
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"content": "yes i have no idea whats worng",
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"content": "your intergral should be [0,2] + [3,-1]",
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"timestamp": "03/13/2022 14:18:28",
"content": "sorry still have no idea...but i gonna sleep its 2am here lol",
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"timestamp": "03/13/2022 14:18:31",
"content": ".close",
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"timestamp": "03/13/2022 14:18:32",
"content": "Channel closed",
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] | help-10 | 96e757c4514f4e23828c5638606b4d18 |
1,222 | [
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"id": 952635148241866900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/13/2022 14:31:58",
"content": "how would a be done for this?",
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"id": 952637271939641300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/13/2022 14:40:24",
"content": "So x, y, z give you the number of rooms of each of the three categories",
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"id": 952637439422394500,
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"timestamp": "03/13/2022 14:41:04",
"content": "Now you need to express the two conditions (max number of beds) and (max area) in terms of x, y, z",
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"timestamp": "03/13/2022 14:45:52",
"content": "so one equation would be x+y+z = 60",
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"author_name": "Deleted User",
"timestamp": "03/13/2022 14:47:44",
"content": "15x + 25y +40z = 700",
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"id": 952639203680870500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/13/2022 14:48:05",
"content": "5x + 9y +15z = p?",
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"id": 952639951139373000,
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"timestamp": "03/13/2022 14:51:03",
"content": "@Helpers",
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{
"id": 952640877430464600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/13/2022 14:54:44",
"content": "first one should be x + 2y + 4z <= 60",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 15:06:03",
"content": "@Deleted User Has your question been resolved?",
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"id": 952643857722540000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/13/2022 15:06:34",
"content": "is the 2nd one",
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},
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"id": 952643935241654400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/13/2022 15:06:53",
"content": "15x + 25y + 40z <=700",
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},
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"id": 952648521109094400,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/13/2022 15:25:06",
"content": "@Deleted User Yup",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/13/2022 15:25:32",
"content": "and 5x + 9x + 15z is what you want to maximize",
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"timestamp": "03/13/2022 15:36:53",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "03/13/2022 16:06:53",
"content": "Channel closed",
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}
] | help-10 | 0065dca18f534a38993ea72df6d63b14 |
1,223 | [
{
"id": 952659289321906300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 16:07:54",
"content": "Available help channel!",
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},
{
"id": 952660486946697300,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:12:39",
"content": "im struggling to understand this problem and how to solve it (discrete math)",
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"id": 952660488838344800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 16:12:40",
"content": "Pinned a message.",
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"id": 952660539262242800,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:12:52",
"content": "any advice how to start?",
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},
{
"id": 952661207775596500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:15:31",
"content": "Understand the definition of A_i?",
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},
{
"id": 952661818889867300,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:17:57",
"content": "you mean ai = a1 U a2 U a3 etc?",
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},
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"id": 952661963241041900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:18:31",
"content": "No I mean you are given definitions of A_i",
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},
{
"id": 952661981691793400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:18:36",
"content": "I ask if you understand it",
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},
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"id": 952662650653929500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:21:15",
"content": "sort of",
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},
{
"id": 952662736221913100,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:21:35",
"content": "like the first one A is an integer, between 0 and i",
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},
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"id": 952662806363267200,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:21:52",
"content": "idk really struggling here tbh",
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},
{
"id": 952662933018648600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:22:22",
"content": "Not an integer",
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},
{
"id": 952662978480713700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:22:33",
"content": "A_1={0,1}",
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},
{
"id": 952664165254832300,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:27:16",
"content": "so b. A_1 = {0,1} c. = (1,∞)",
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},
{
"id": 952664599432425500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:29:00",
"content": "im just confused how to find union/intersection from them",
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},
{
"id": 952664702088003700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:29:24",
"content": "Do a) first?",
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},
{
"id": 952664776478167200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:29:42",
"content": "What is union of A_1 A_2 and A_3?",
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},
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"id": 952665016685953200,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:30:39",
"content": "",
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"id": 952665076328984700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:30:53",
"content": "i think this, correct?",
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},
{
"id": 952665168389738500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:31:15",
"content": "so i just need 2 answers per letter?",
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"id": 952665184571387900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:19",
"content": "What?",
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},
{
"id": 952665216540364800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:27",
"content": "A_1 is this",
"attachments": [],
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},
{
"id": 952665257690665100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:37",
"content": "Figure out what A_2 and A_3 is",
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},
{
"id": 952665296706101400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:46",
"content": "Tell me answer to this union",
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},
{
"id": 952665312405385300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:50",
"content": "Notice a pattern",
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},
{
"id": 952665329878843400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:31:54",
"content": "And answer the question",
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},
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"id": 952665393955229700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:32:09",
"content": "{0,2} and {0,3} so {0,1} U {0,2} U {0,3}",
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},
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"id": 952665930511552500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:34:17",
"content": "so {i, i+1, i+2}",
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},
{
"id": 952665932914888700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:34:18",
"content": "Simplify it",
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},
{
"id": 952666021725081600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:34:39",
"content": "And no",
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{
"id": 952666051492073600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:34:46",
"content": "A_2 and A_3 are not that",
"attachments": [],
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},
{
"id": 952666274247368800,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:35:39",
"content": "oh would a_2 just be {1,2} lol",
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"id": 952666333189918700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:35:53",
"content": "No",
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},
{
"id": 952666370796027900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:36:02",
"content": "Read the statement of A_i",
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},
{
"id": 952666429927333900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:36:16",
"content": "Can you say in words what it means?",
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},
{
"id": 952666634294796300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:37:05",
"content": "Well it even tells you exactly the elements in it after the equality sign",
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},
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"id": 952667760176025700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:41:33",
"content": "{2} and {3}",
"attachments": [],
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},
{
"id": 952667827851132900,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:41:49",
"content": "those are my final guesses for a_2 and a_3",
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"id": 952667989851918500,
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"author_name": "strike",
"timestamp": "03/13/2022 16:42:28",
"content": "also appreciate your help @ScapeProf we didnt learn this in class so gotta self learn it",
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"id": 952668060702097400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:42:45",
"content": "Its really just reading",
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"id": 952668083435229200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:42:50",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/952668082671853678/IMG_2923.png",
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"id": 952668123360809100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:43:00",
"content": "If the first equal sign is confusing",
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},
{
"id": 952668146857304000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:43:05",
"content": "Just read the last equal sign?",
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},
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"id": 952668180365602800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:43:13",
"content": "It says exactly the elements in A_i",
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},
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"id": 952669374920130600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:47:58",
"content": "right, so i get A_i = {0,1,2,3,4,...,i}",
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"id": 952669495162466400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:48:27",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/952669494529110046/oqKpLPt.png",
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},
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"id": 952669556072132700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:48:41",
"content": "So can you answer correctly what A_2 and A_3 is?",
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"id": 952669624678375400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:48:58",
"content": "A_2 = 2",
"attachments": [],
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},
{
"id": 952669635004760000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:49:00",
"content": "A_3 = 3",
"attachments": [],
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},
{
"id": 952669641740800100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:49:02",
"content": "No",
"attachments": [],
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},
{
"id": 952669688310161400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:49:13",
"content": "lol",
"attachments": [],
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},
{
"id": 952669707142586400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:49:17",
"content": "help meout bro",
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},
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"id": 952669772783419500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:49:33",
"content": "A_i ={0,1,…,i}",
"attachments": [],
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},
{
"id": 952669803687051300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:49:40",
"content": "So if i=2 we stop at 2?",
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},
{
"id": 952669825572954200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:49:46",
"content": "So A_2 is?",
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},
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"id": 952669852282269700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:49:52",
"content": "0,1,2...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952669868442918900,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:49:56",
"content": "{0,1,2}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 952669874843418600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:49:57",
"content": "Yes",
"attachments": [],
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},
{
"id": 952669995958145000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:50:26",
"content": "then {0,1,2,3}",
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},
{
"id": 952670008855654400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:50:29",
"content": "i got you now man",
"attachments": [],
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},
{
"id": 952670025632858200,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:50:33",
"content": "for a_3",
"attachments": [],
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"reference": null
},
{
"id": 952670098559234200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:50:51",
"content": "What is this union then?",
"attachments": [],
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},
{
"id": 952670100308254700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:50:51",
"content": "my question now is how many answers do I need for each letter question?",
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},
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"id": 952670146936340600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:51:02",
"content": "since its asking this",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:51:08",
"content": "4?",
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"author_name": "strike",
"timestamp": "03/13/2022 16:51:57",
"content": "so the union would be {i, i+1, i+2, i+3}",
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"id": 952670416739106800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:52:07",
"content": "Where does i come from?",
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"id": 952670465711829000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:52:18",
"content": "No i in A_1 or A_2 or A_3 is there?",
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"id": 952670500574859300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:52:27",
"content": "How does i magically appear?",
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"id": 952670711598702600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:53:17",
"content": "{0,1} U {0,1,2} U {0,1,2,3}",
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"id": 952670825931214800,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:53:44",
"content": "that wouldbe the union of a_1 a_2 a_3 then..",
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"id": 952670886790570100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:53:59",
"content": "And simplified?",
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"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:55:54",
"content": "{0,1} U {0,2} U ... U {0,n}",
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},
{
"id": 952671429072126000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 16:56:08",
"content": "is that how i would simplify it friend?",
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"id": 952671481018597500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 16:56:20",
"content": "What is a union?",
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"id": 952672752320532500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:01:23",
"content": "it is a collection of sets",
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"id": 952672823451717600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:01:40",
"content": "i think im just trying to figure out how to format it",
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"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:02:07",
"content": "If you can’t answer what this is simplified you clearly don’t understand what union is",
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"id": 952673296539861000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:03:33",
"content": "{0,1,2,3,4,5,...,i}",
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"id": 952673395840008200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:03:57",
"content": ".",
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"id": 952673644193132700,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:04:56",
"content": "{0,1,2,3} for that set",
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},
{
"id": 952673673427427300,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:05:03",
"content": "correct?",
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"id": 952673809050271900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:05:35",
"content": "Yes",
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"id": 952673948359868400,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:06:09",
"content": "{0,1,2,3,4,5,...,n}",
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},
{
"id": 952674000050475000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:06:21",
"content": "so would this be my answer for union to N?",
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"id": 952674280158670800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:07:28",
"content": "Yes",
"attachments": [],
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},
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"id": 952674637513384000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:08:53",
"content": "@ScapeProf thanks for the help brother 🤝",
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"id": 952674690994946000,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:09:06",
"content": "last question, would this be the answer for the union to infinity?",
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"id": 952674703514943500,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:09:09",
"content": "{0,1,2,3,4,5,...,n,...}",
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},
{
"id": 952674770837700600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:09:25",
"content": "just with the additional dots added",
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"id": 952674798725644300,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:09:31",
"content": "for my second answer",
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{
"id": 952674849204109300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:09:43",
"content": "What is n?",
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{
"id": 952674982461321200,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:10:15",
"content": "oh n is pointless",
"attachments": [],
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},
{
"id": 952675029311705100,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:10:26",
"content": "{0,1,2,3,4,5,...}",
"attachments": [],
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},
{
"id": 952675305905094700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/13/2022 17:11:32",
"content": "Yes",
"attachments": [],
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},
{
"id": 952676563353239600,
"author_id": 214981085287809020,
"author_name": "strike",
"timestamp": "03/13/2022 17:16:32",
"content": "alright i have a good basic understanding now, ill practice more with the other questions.",
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"author_name": "strike",
"timestamp": "03/13/2022 17:16:47",
"content": "again thanks for the help and being patient @ScapeProf",
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"id": 952676629392531500,
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"timestamp": "03/13/2022 17:16:48",
"content": ".close",
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{
"id": 952676630965387400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 17:16:48",
"content": "Channel closed",
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}
] | help-10 | b005152132984f46a35293e1267b25c5 |
1,224 | [
{
"id": 903704171864289300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2021 13:57:44",
"content": "Available help channel!",
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},
{
"id": 903705583729914000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:03:21",
"content": "The vector k · v → has a length of 1.\nCalculate the length v → and the number k, if v → = (6, 8)",
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},
{
"id": 903705585701249000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2021 14:03:21",
"content": "Pinned a message.",
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{
"id": 903705847685840900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:04:24",
"content": "@Helpers",
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},
{
"id": 903705954628034600,
"author_id": 769275691685380100,
"author_name": "skeezy",
"timestamp": "10/29/2021 14:04:49",
"content": "hey i might look dumb but is √108 + √12 is √130 right?",
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},
{
"id": 903706003495870500,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:05:01",
"content": "Channel's occupied",
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"id": 903706084945051600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:05:20",
"content": "Do you know how to calculate a unit vector?",
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{
"id": 903706180008943600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:05:43",
"content": "not really",
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},
{
"id": 903706217883504600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:05:52",
"content": "Okay, so imagine you're going to the store",
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},
{
"id": 903706251043696800,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:06:00",
"content": "and you see a 6 pack of eggs for 12 dollars",
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},
{
"id": 903706283125932000,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:06:07",
"content": "How much would you be paying for one egg?",
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},
{
"id": 903706306446246000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:13",
"content": "12 dollars",
"attachments": [],
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"reference": null
},
{
"id": 903706319087861900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:16",
"content": "wai no",
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},
{
"id": 903706328705429500,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:06:18",
"content": "one egg",
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},
{
"id": 903706353372127200,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:24",
"content": "i pay 12 dollar*6",
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},
{
"id": 903706400209928200,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:06:35",
"content": "it's a 6 pack",
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},
{
"id": 903706418375454700,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:06:40",
"content": "6 eggs for 12 dollars",
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},
{
"id": 903706436499025900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:44",
"content": "ahaaaaa",
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},
{
"id": 903706440735289300,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:45",
"content": "XDD",
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},
{
"id": 903706445529378800,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:46",
"content": "wait",
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},
{
"id": 903706474608464000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:06:53",
"content": "so for 1 egg its 2 dollars",
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},
{
"id": 903706510801137800,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:07:02",
"content": "yeah, and how did you find that out?",
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{
"id": 903706527909679200,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:07:06",
"content": "what calculation did you do?",
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},
{
"id": 903706560545558700,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:14",
"content": "i did",
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},
{
"id": 903706563049570400,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:14",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 903706642598727800,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:33",
"content": "i like",
"attachments": [],
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},
{
"id": 903706662152572900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:38",
"content": "took a amout of eggs",
"attachments": [],
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},
{
"id": 903706674630631400,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:41",
"content": "and did this",
"attachments": [],
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"reference": null
},
{
"id": 903706698668191700,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:07:47",
"content": "egg/price",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 903706774190837800,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:08:05",
"content": "Well, egg/price or price/egg?",
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},
{
"id": 903706808047267800,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:08:13",
"content": "price/egg",
"attachments": [],
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"reference": null
},
{
"id": 903706886510100600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:08:31",
"content": "yeah! and you found out that one egg costs 2 dollars by doing 12/6, right?",
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},
{
"id": 903706908697976800,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:08:37",
"content": "yes",
"attachments": [],
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},
{
"id": 903706960803815600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:08:49",
"content": "so calculating a unit vector is the same idea, really",
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},
{
"id": 903706999903125600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:08:58",
"content": "you take a vector and divide it by it's own magnitude",
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},
{
"id": 903707081402613800,
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"author_name": "Amon",
"timestamp": "10/29/2021 14:09:18",
"content": "but how im supposed to divaide this The vector k · v → has a length of 1.\nCalculate the length v → and the number k, if v → = (6, 8)",
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{
"id": 903707119981842400,
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"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:09:27",
"content": "so if I had a vector of length 6, and I divided it by its own length, then I'd be doing 6/6",
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{
"id": 903707146066202800,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:09:33",
"content": "which would give me a length of 1, right?",
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{
"id": 903707164835721300,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:09:38",
"content": "yea",
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},
{
"id": 903707204593524900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:09:47",
"content": "so i do 6/6 and 8/6",
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},
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"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:09:54",
"content": "Not quite",
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"content": "How do you calculate the magnitude of a vector?",
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"content": "wait",
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"content": "a=(a1,a2)",
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"timestamp": "10/29/2021 14:10:40",
"content": "the magnitude is a single number",
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"content": "it's a scalar",
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"timestamp": "10/29/2021 14:10:50",
"content": "yes",
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"timestamp": "10/29/2021 14:11:07",
"content": "so",
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"author_name": "Amon",
"timestamp": "10/29/2021 14:11:13",
"content": "wait i still dont get it",
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"timestamp": "10/29/2021 14:12:09",
"content": "okay, so the magnitude of a vector is given by",
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"timestamp": "10/29/2021 14:12:37",
"content": "$\\sqrt{a^{2}+b^{2}}$",
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"author_name": "TeXit",
"timestamp": "10/29/2021 14:12:40",
"content": "**QLightningWolf44**",
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"content": "aaa",
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"timestamp": "10/29/2021 14:12:53",
"content": "where a, and b, are the components of the vector",
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"timestamp": "10/29/2021 14:13:05",
"content": "so how would you calculate the magnitude",
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"timestamp": "10/29/2021 14:13:16",
"content": "wait now im lost",
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"timestamp": "10/29/2021 14:13:28",
"content": "in school we use",
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"timestamp": "10/29/2021 14:13:33",
"content": "$\\sqrt{x^{2}+y^{2}}$",
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"timestamp": "10/29/2021 14:13:35",
"content": "**Amon**",
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"timestamp": "10/29/2021 14:13:52",
"content": "yeah yeah it's the same thing!",
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"timestamp": "10/29/2021 14:14:19",
"content": "(x, y) and (a, b) are just different variables that are the same idea",
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"content": "aha",
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"content": "this is correct",
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"timestamp": "10/29/2021 14:14:41",
"content": "i just got a little bit lost sorry",
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"content": "no worries!",
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"timestamp": "10/29/2021 14:14:52",
"content": "so what's the magnitude then?",
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"timestamp": "10/29/2021 14:14:55",
"content": "so 6 is a^2",
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"timestamp": "10/29/2021 14:15:03",
"content": "and 8 is y^2",
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"timestamp": "10/29/2021 14:15:08",
"content": "?",
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"timestamp": "10/29/2021 14:15:16",
"content": "not quite, a is 6 and b is 8",
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"timestamp": "10/29/2021 14:15:21",
"content": "aha",
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"timestamp": "10/29/2021 14:15:26",
"content": "you must square them and take the square root of them added together",
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"timestamp": "10/29/2021 14:15:30",
"content": "wait",
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"id": 903708731353743500,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:15:51",
"content": "3.74165738677",
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"author_name": "Amon",
"timestamp": "10/29/2021 14:16:03",
"content": "so we can basically say 3.74",
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"timestamp": "10/29/2021 14:16:29",
"content": "what",
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"timestamp": "10/29/2021 14:16:33",
"content": "how are you getting that?",
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"id": 903708925747138600,
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"timestamp": "10/29/2021 14:16:37",
"content": "wait",
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"timestamp": "10/29/2021 14:16:44",
"content": "6^2 + 8^2 is 100",
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"timestamp": "10/29/2021 14:16:52",
"content": "and the square root of 100 is 10",
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"id": 903708990280728700,
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"timestamp": "10/29/2021 14:16:53",
"content": "ytes",
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"id": 903709004184834000,
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"author_name": "Amon",
"timestamp": "10/29/2021 14:16:56",
"content": "yes",
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"id": 903709007745786000,
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"author_name": "Amon",
"timestamp": "10/29/2021 14:16:57",
"content": "it is",
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"timestamp": "10/29/2021 14:17:13",
"content": "so the unit vector would be (6/10, 8/10)",
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"timestamp": "10/29/2021 14:17:19",
"content": "aha",
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"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:17:28",
"content": "because remember, you're dividing the vector by its own magnitude",
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"id": 903709210758500400,
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"timestamp": "10/29/2021 14:17:45",
"content": "yea",
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"timestamp": "10/29/2021 14:17:56",
"content": "so its 0,6 and 0,8?",
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"timestamp": "10/29/2021 14:18:19",
"content": "yep",
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"id": 903709526547652700,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:19:01",
"content": "so what now",
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"id": 903709537129857000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:19:03",
"content": "that is all?",
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"id": 903709687701200900,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:19:39",
"content": "but wait",
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"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:19:40",
"content": "its wrong",
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"id": 903709779514503300,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:01",
"content": "k is 1/10",
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"id": 903709793892585500,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:04",
"content": "that should be it",
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},
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"id": 903709806299332600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:20:07",
"content": "its not wrong",
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},
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"id": 903709817158381600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:20:10",
"content": "u are right",
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},
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"id": 903709848284299300,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:17",
"content": "the unit vector is 1/10 (6, 8)",
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},
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"id": 903709864197500900,
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"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:21",
"content": "1/10 is a scalar",
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"id": 903709889149415600,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:27",
"content": "it *scales* the vector",
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"id": 903709901778473000,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:20:30",
"content": "hence, scalar",
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"id": 903709941347524600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:20:40",
"content": "oki doki",
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},
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"id": 903709953162903600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:20:42",
"content": "thanks for help",
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},
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"id": 903709972196643000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:20:47",
"content": "how do i close it?",
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"id": 903710382877732900,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:22:25",
"content": ".close",
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"id": 903710396647624700,
"author_id": 353833028600070140,
"author_name": "QLightningWolf44",
"timestamp": "10/29/2021 14:22:28",
"content": "just type that",
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"id": 903710422379667500,
"author_id": 802933374057447400,
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"timestamp": "10/29/2021 14:22:34",
"content": "oki",
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},
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"id": 903710426083262600,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:22:35",
"content": "thanks",
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},
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"id": 903710433704280000,
"author_id": 802933374057447400,
"author_name": "Amon",
"timestamp": "10/29/2021 14:22:37",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2021 14:22:37",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 3752a712e9aa435c80cfae5135fcdab2 |
1,225 | [
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] | help-10 | 99aa98e93798415ea3971ef28eb62d69 |
1,226 | [
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"content": "@Helpers",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/13/2022 17:23:53",
"content": "First you draw 2 lines y=4(x-1)+2 and y=-4(x-1)+2. Can you do that?",
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"content": "What is in the cos by the way?",
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"content": "What",
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"content": "It’s the cos function",
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"content": "https://classcalc.com/graphing-calculator",
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"content": "(x+2)/5?",
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"timestamp": "03/13/2022 17:25:01",
"content": "you can use this to check your answer",
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"content": "I mean what is next to cos? Cos what? Cos(2+x)/5 ?",
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"content": "It’s 2pi/5",
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"content": "I don’t have the character for it on my keyboard",
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"timestamp": "03/13/2022 17:26:06",
"content": "It’s a constant then…😂",
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"content": "Yes",
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"timestamp": "03/13/2022 17:26:10",
"content": "Then just one line",
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"content": "Do u know how to graph trig functions cuz it’s not a straight line",
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"content": "It’s a constant",
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"timestamp": "03/13/2022 17:27:27",
"content": "If it was cos(x), then I draw two lines as I said, and then I draw cos(x) between those two lines",
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"content": "Yeah ur no help",
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"content": "Good,Blocked",
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"content": "U don’t know shit buddy",
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"content": "equation you wrote write here doesn’t have your cosine as a function of x. It is a constant multiplied by a variable making it part of the slope of the line.",
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"content": "If this isn’t the answer you want, pick a different subject to study. It seems more likely that you wrote your function wrong, if you’re expecting a different answer.",
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] | help-10 | 1b688e1d4271445e81e6d28ed9cb5948 |
1,227 | [
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"content": "could someone please tell me the values they get for a,b and c",
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"content": "im just wondering if my textbook solutions are incorrect",
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"content": "Post your attempt and someone can help verify",
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"timestamp": "03/13/2022 19:11:59",
"content": "ok then",
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"content": "a=1/2",
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"timestamp": "03/13/2022 19:12:13",
"content": "b=1",
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"content": "c=3/2",
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"timestamp": "03/13/2022 19:12:49",
"content": "How'd you get those numbers?",
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"content": "If you have those numbers can't you just plug it in and verify?",
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"content": "@Kosta Has your question been resolved?",
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] | help-10 | e498fc1976e644c78f5bb1d19411186a |
1,228 | [
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] | help-10 | e3a63e14399c4961b585ee628c9ae419 |
1,229 | [
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] | help-10 | 37d3669b8126426e85a91cc0455b4c65 |
123 | [
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"content": "The thing I don't understand is in b, why they don't use the ansatz t*e^(t)*(ACos(t)+BSin(t))",
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"content": "instead of what they do, which is just (ACos(t)+BSin(t))",
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"timestamp": "01/17/2022 16:30:05",
"content": "cause the forcing function doesn't have e^t",
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"content": "cos(t) is just trig, so your guess for underdetermined coefficients is a linear combination of cos and sin",
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"content": "ahh, I see",
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"content": "Thanks for your help!",
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"content": ".close",
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] | help-10 | e467db15cdc4412bb3b3589a47c8ea45 |
1,230 | [
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"timestamp": "03/13/2022 20:07:05",
"content": "Can somebody explain part B? I don't understand why the range isn't just all real numbers",
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"content": "put g inside of f",
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"content": "like you're making a sandwich",
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"timestamp": "03/13/2022 20:08:38",
"content": "this should explain it",
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"id": 952720185918386200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:09:53",
"content": "or actually here's a better example. that was unclear",
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"timestamp": "03/13/2022 20:09:54",
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"id": 952720244420513800,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:10:06",
"content": "I can find the new function, x-4. Wouldn't the range of that just be all real numbers?",
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"id": 952720498423365600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:11:07",
"content": "does (sqrt(x))^2 = x?",
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"id": 952720602345644000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:11:32",
"content": "yes it does always. but sqrt(x) itself is not real for negative x",
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"id": 952720657307803600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:11:45",
"content": "and we run into problems when plugging that in",
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},
{
"id": 952720678891704300,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:11:50",
"content": "I understand that",
"attachments": [],
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},
{
"id": 952720716791427100,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:11:59",
"content": "but once it's the new function does that matter?",
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},
{
"id": 952721295894806500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:14:17",
"content": "the domain of sqrt(x) is non negative reals. the domain of x^2-4 is all reals",
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},
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"id": 952721317910692000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:14:22",
"content": "take the intersection of those sets",
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},
{
"id": 952721832463728600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 20:16:25",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 952722127327473700,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:17:35",
"content": "Still a bit confused, how does that relate to the range?",
"attachments": [],
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},
{
"id": 952722128287957000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 20:17:36",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 952722127327473700,
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}
},
{
"id": 952722945900441700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/13/2022 20:20:51",
"content": "sqrt(x)^2 - 4 should have a range corresponding to the minimum and maximum values of x for which the sqrt function is defined",
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},
{
"id": 952723184065609700,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:21:47",
"content": "That makes sense, why are thinking of sqrt(x)^2 and not just x because we simplified?",
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"id": 952723321231917200,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:22:20",
"content": "Like I understand it, but i dont get the mathematical rule",
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},
{
"id": 952723368703058000,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:22:31",
"content": "Is there a rule relating domain/range etc?",
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},
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"id": 952723741148872700,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:24:00",
"content": "I think I get it",
"attachments": [],
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},
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"id": 952723748908331000,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:24:02",
"content": "thanks",
"attachments": [],
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},
{
"id": 952723766230777900,
"author_id": 672646071347970000,
"author_name": "JustJackB",
"timestamp": "03/13/2022 20:24:06",
"content": ".close",
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},
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"id": 952723767648452700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 20:24:06",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | 0d372de89516486c809dd4740dbe4028 |
1,231 | [
{
"id": 952724652076175400,
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"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 20:27:37",
"content": "Available help channel!",
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"id": 952725298095464400,
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"timestamp": "03/13/2022 20:30:11",
"content": "Pinned a message.",
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"id": 952728541647237100,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:43:05",
"content": "P(Orange|A)",
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},
{
"id": 952728736036429800,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:43:51",
"content": "Yeah I'm not sure how to find that",
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},
{
"id": 952728762569588900,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:43:57",
"content": "Use the definition",
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},
{
"id": 952729078643962000,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:45:13",
"content": "Sorry could you please explain for me? I don'treally understand 😦",
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},
{
"id": 952729173070340200,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:45:35",
"content": "what's the definition of conditional probability?",
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},
{
"id": 952729240917405700,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:45:51",
"content": "the probability of event A occurring, given that event B occurs",
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},
{
"id": 952729340989284400,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:46:15",
"content": "computational definition",
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},
{
"id": 952729369971929200,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:46:22",
"content": "Hint: It's a fraction",
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},
{
"id": 952729455909040300,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:46:43",
"content": "is it P(A AND B)/P(B)?",
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},
{
"id": 952729483515932700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:46:49",
"content": "Yes",
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},
{
"id": 952729521453433000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:46:58",
"content": "P(A|B)=P(AnB)/P(B)",
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},
{
"id": 952729542949224600,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:47:03",
"content": "I tried doing that and there wasn't an option for the answer",
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},
{
"id": 952729624419385300,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:47:23",
"content": "assuming that I did the P(AnB) right which I think i did 😦",
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},
{
"id": 952730176519827500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:49:34",
"content": "P(Orange and A)=P(A|Orange)P(Orange)",
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},
{
"id": 952730250360553500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:49:52",
"content": "probability you get an orange marble * probability said orange marble has an A",
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},
{
"id": 952730336259866600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:50:13",
"content": "P(A|Orange)=.92\nP(Orange)=.78",
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},
{
"id": 952730491990208600,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:50:50",
"content": "and then you get .7176",
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},
{
"id": 952730548403597300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:51:03",
"content": ",calc .92*.78",
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},
{
"id": 952730550043549700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/13/2022 20:51:04",
"content": "Result:\n```\n0.7176\n```",
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"id": 952730575293259800,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:51:10",
"content": "which the closest answer is .718",
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"id": 952730609334239200,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:51:18",
"content": "and then i did .718/.92",
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{
"id": 952730675604254800,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:51:33",
"content": "The probability it's marked A isn't .92",
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},
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"id": 952730700681969700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:51:39",
"content": "that's P(A|Orange)",
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},
{
"id": 952730756944384000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:51:53",
"content": "You want to look at *all* the A marbles",
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},
{
"id": 952730799105527800,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:52:03",
"content": "so it would b .92*.13?",
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"id": 952730826624348200,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:52:09",
"content": "No",
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},
{
"id": 952730918089551900,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:52:31",
"content": "P(A) is P(Green and A)+P(Orange and A)",
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},
{
"id": 952731004550914000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:52:52",
"content": "P(Green and A)=P(A|Green)P(Green)",
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},
{
"id": 952731461046399100,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:54:41",
"content": "P(Green A)=.13*.22",
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},
{
"id": 952731558022901900,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:55:04",
"content": "Yes.",
"attachments": [],
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},
{
"id": 952731576209403900,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:55:08",
"content": "P(A)=(.92*.78)+(.13*.22)",
"attachments": [],
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},
{
"id": 952731580156215300,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:55:09",
"content": "?",
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},
{
"id": 952731597386440700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 20:55:13",
"content": "yes.",
"attachments": [],
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},
{
"id": 952731930107990000,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:56:33",
"content": "so it will be .9622 at the end?>",
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},
{
"id": 952732405989531800,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 20:58:26",
"content": "oh nvm It's still wrong because it's not on the option 😦",
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},
{
"id": 952733149819982000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 21:01:23",
"content": "What are the options?",
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},
{
"id": 952733191180005400,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/13/2022 21:01:33",
"content": "Cause you likely used intermediate rounding",
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},
{
"id": 952733284029317100,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:01:55",
"content": "omg... im so sorry",
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},
{
"id": 952733315364958200,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:02:03",
"content": "one of the option was .96",
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},
{
"id": 952733355240218600,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:02:12",
"content": "it was a scrolling answer so I didnt see 😦",
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},
{
"id": 952733367437234200,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:02:15",
"content": "sorry about that!",
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},
{
"id": 952733462706671700,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:02:38",
"content": "thank you so much for helping me!",
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},
{
"id": 952733554817761300,
"author_id": 267756600721145860,
"author_name": "Fancy",
"timestamp": "03/13/2022 21:03:00",
"content": ".close",
"attachments": [],
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},
{
"id": 952733555967000600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/13/2022 21:03:00",
"content": "Channel closed",
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}
] | help-10 | 6df43d9240e341bab3349fabefb07448 |
1,232 | [
{
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"timestamp": "03/13/2022 21:04:01",
"content": "Available help channel!",
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},
{
"id": 952737995876884500,
"author_id": 288370172744695800,
"author_name": "KittyGirlKatie",
"timestamp": "03/13/2022 21:20:39",
"content": "my brain is not working right at 1am I have no idea where to even begin, I think its neutons first law but with vectors but I am unsure",
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"timestamp": "03/13/2022 21:35:39",
"content": "@KittyGirlKatie Has your question been resolved?",
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] | help-10 | 456636ca9e8148a3867f0cd81a6bd3b1 |
1,233 | [
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"content": "I'm a little lost as to why you cant just times a11 by B11",
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"timestamp": "03/13/2022 22:03:14",
"content": "wdym times a11 by B11",
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"timestamp": "03/13/2022 22:03:30",
"content": "so 1 times 2",
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"content": "ab11=2",
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"timestamp": "03/13/2022 22:04:06",
"content": "Times the corresponding numbers with the corresponding locations",
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"content": "that's not how we define matrix multiplication",
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"content": "I know but, why because i'm really having hard time wrapping my head around it",
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"timestamp": "03/13/2022 22:05:15",
"content": "if the matrices aren't the same dimensions, that logic fails",
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"content": "imagine a=3x2 matrix",
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"content": "b=2x3 matrix",
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"content": "there's no b3,2",
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"timestamp": "03/13/2022 22:05:44",
"content": "Yes fair, but even if it was the same dimensions we cant do it",
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"timestamp": "03/13/2022 22:05:53",
"content": "i think fighterman0 is asking about why we define matrix multiplication the way it is",
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"timestamp": "03/13/2022 22:05:54",
"content": "exactly so it won't work",
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"timestamp": "03/13/2022 22:06:09",
"content": "Yea",
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"timestamp": "03/13/2022 22:06:54",
"content": "eh thats a bit deeper. You might just want to look up a proof about matrix multi",
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"timestamp": "03/13/2022 22:06:58",
"content": "i think axler has a few",
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"timestamp": "03/13/2022 22:07:15",
"content": "thats fine, then I will do that later but now i need help understanding this",
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"timestamp": "03/13/2022 22:07:35",
"content": "Matrix vector multiplication",
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:07:41",
"content": "How do you this? I got the answers but i still cant wrapp my head around it",
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"id": 952750339772268500,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:09:42",
"content": "isnt it 2*1?",
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"timestamp": "03/13/2022 22:09:43",
"content": "?? A = 2x3 but B = 2x1",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:09:52",
"content": "yet some how my tutur got 3*1",
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"timestamp": "03/13/2022 22:09:56",
"content": "I don't you can multiply these 2",
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"timestamp": "03/13/2022 22:09:57",
"content": "lol",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:10:24",
"content": "this is what he did",
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"id": 952750532034953300,
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:10:28",
"content": "but i dont get it",
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"timestamp": "03/13/2022 22:11:56",
"content": "I mean he says it DNE in your first pic",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:12:26",
"content": "yea but he still works it out??",
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"timestamp": "03/13/2022 22:12:27",
"content": "Look, the first picture has A as a 2x3 matrix",
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"timestamp": "03/13/2022 22:12:35",
"content": "your second picture has A as a 3x2 matrix",
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"id": 952751210946003000,
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"timestamp": "03/13/2022 22:13:09",
"content": "The matrices aren't even the same",
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"timestamp": "03/13/2022 22:13:17",
"content": "ooo yea, I think he just rearranged it?",
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"timestamp": "03/13/2022 22:13:31",
"content": "no, they are completely different questions",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:13:31",
"content": "because this rule?",
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"content": "look at the numbers",
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"content": "This rule defines matrix multiplication",
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"timestamp": "03/13/2022 22:14:06",
"content": "oooo yes yes, you right",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:15:20",
"content": "Just to clarify we always times rows by columns?",
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/13/2022 22:15:36",
"content": "like there is no exception to that rule?",
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"id": 952753066329915400,
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"timestamp": "03/13/2022 22:20:32",
"content": "yep. if you want the reason matrix multiplication is defined like this, maybe watch https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab. (it's also much easier to remember LA formulas with this intuition)",
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"timestamp": "03/13/2022 22:21:54",
"content": "Awesome will do, thank you!",
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"timestamp": "03/13/2022 22:21:56",
"content": ".close",
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"timestamp": "03/13/2022 22:21:56",
"content": "Channel closed",
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] | help-10 | b0d1c68a23024d089f8f82ab2b27b4d4 |
1,234 | [
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"content": "Available help channel!",
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"content": "how can i get the period",
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"content": "Period is the peak to peak or trough to trough measurement",
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"content": "@NARCSOS Has your question been resolved?",
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"timestamp": "03/13/2022 23:19:53",
"content": "so what is the period here",
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"content": "You can determine that. I told you what you needed to know",
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"timestamp": "03/13/2022 23:29:13",
"content": "ohhh",
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"timestamp": "03/13/2022 23:29:28",
"content": "Can I get a source for that pls",
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"timestamp": "03/13/2022 23:29:44",
"content": "Why?",
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"timestamp": "03/13/2022 23:29:55",
"content": "You're not the OP",
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"author_name": "Olly",
"timestamp": "03/13/2022 23:30:06",
"content": "Because what you've stated sounds like wavelength",
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"timestamp": "03/13/2022 23:30:13",
"content": "And im wondering why its the same as period",
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"content": "You can look up period of sine/cosine and it'll say what I stated",
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"content": "And FYI, period is the time it takes to complete a cycle, and wavelength is the distance during one period",
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"timestamp": "03/13/2022 23:33:55",
"content": "I was confusing physics terminology where the wavelength is the distance from peak to peak or trough to trough and the period is wavelength/velocity",
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"content": "Wavelength is distance, period is time",
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"timestamp": "03/13/2022 23:59:14",
"content": "@NARCSOS Has your question been resolved?",
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"content": "Were you not able to determine period with the info I gave?",
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"content": "@NARCSOS Has your question been resolved?",
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] | help-10 | 59dec33bb14343b6805e767dddae0227 |
1,235 | [
{
"id": 952808384338481200,
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"id": 952811899987308500,
"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:14:19",
"content": "I'm having trouble with solving this AOPS question: `If a^3 - b^3 = 24 and a - b = 2, then find all possible values of a + b.`",
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"timestamp": "03/14/2022 02:14:59",
"content": "so far I've tried factoring a^3 + b^3 into `(a-b)(a^2+ab+b^2`",
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"timestamp": "03/14/2022 02:15:08",
"content": "well its a^3-b^3",
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"timestamp": "03/14/2022 02:15:11",
"content": "and I get `ab` as 8",
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"timestamp": "03/14/2022 02:15:12",
"content": "yeah",
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"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:15:54",
"content": "and then I get `(a-b)^2 + ab = 12`",
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"id": 952812416079646800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:16:22",
"content": "Oh wait",
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"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:16:24",
"content": "yes, but the book tells me a different answer",
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"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:16:33",
"content": "So listen.",
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"id": 952812481598873600,
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"author_name": "Yours truly",
"timestamp": "03/14/2022 02:16:38",
"content": "You have a-b",
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"author_name": "Yours truly",
"timestamp": "03/14/2022 02:16:50",
"content": "True.",
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"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:17:11",
"content": "I get `(a+b)^2 -ab = 12`",
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"author_name": "Yours truly",
"timestamp": "03/14/2022 02:17:12",
"content": "From here, you can get the value of ab.",
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"timestamp": "03/14/2022 02:17:18",
"content": "ye",
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"id": 952812660125216800,
"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:17:20",
"content": "I get ab as 8",
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"id": 952812716773474400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:17:34",
"content": "ab is 8, yes.",
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"id": 952812729100533900,
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"author_name": "Yours truly",
"timestamp": "03/14/2022 02:17:37",
"content": "Now you have",
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"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:17:51",
"content": "(a-b)^2=a^2-2ab+b^2",
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{
"id": 952812841780523000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:18:03",
"content": "Get the value of a^2+b^2",
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"id": 952812881186013300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:18:13",
"content": "Then use it to calculate (a+b)^2",
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"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:18:13",
"content": "can't I just use this tho?",
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{
"id": 952812935711948800,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:18:26",
"content": "How'd you get that?",
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"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:18:52",
"content": "`(a+b)^2 - ab = (a-b)^2 + ab`",
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"timestamp": "03/14/2022 02:19:01",
"content": "yes I get a+b as +-sqrt(20)",
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"author_name": "Yours truly",
"timestamp": "03/14/2022 02:19:10",
"content": "What no.",
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"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:19:10",
"content": "but the answer in the book doesn't match my answer",
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{
"id": 952813339732484100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:20:02",
"content": "$$(a+b)^2 -ab = a^2+ab+b^2$$\n$$(a-b)^2+ab=a^2-ab+b^2$$",
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"id": 952813346325950600,
"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:20:04",
"content": "ah",
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"id": 952813349962383400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/14/2022 02:20:05",
"content": "**Sakata Yaksha**",
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"timestamp": "03/14/2022 02:20:09",
"content": "ahhh",
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"id": 952813409370517500,
"author_id": 406403480463474700,
"author_name": "SwollenBerk",
"timestamp": "03/14/2022 02:20:19",
"content": "forget the signs were different 😄",
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"id": 952813421781483500,
"author_id": 406403480463474700,
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"timestamp": "03/14/2022 02:20:22",
"content": "my bad",
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{
"id": 952813439846322200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:20:26",
"content": "Uh huh.",
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"timestamp": "03/14/2022 02:20:27",
"content": "thank you",
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"id": 952813467306426400,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 02:20:33",
"content": "You're welcome.",
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"timestamp": "03/14/2022 02:22:08",
"content": ".close",
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"content": "Channel closed",
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] | help-10 | 5b13086da9684e3ea2de0a38243095ad |
1,236 | [
{
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"timestamp": "11/09/2021 06:20:54",
"content": "Available help channel!",
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"author_id": 458300060455665660,
"author_name": "Fegres",
"timestamp": "11/09/2021 06:37:02",
"content": "Hi\nHow can I solve\n$arccos(y - x)$\n?",
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"content": "Pinned a message.",
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"timestamp": "11/09/2021 06:37:05",
"content": "**Fegres**",
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"content": "@Fegres Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | fbbfff541622429f9d8dfce0a2f0b733 |
1,237 | [
{
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"content": "Available help channel!",
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"id": 952820010026405900,
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"content": "Pinned a message.",
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"content": "how to do the induction? or is this correct/enough?",
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"content": "@Cogwheels of the mind lmao last one last one",
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"timestamp": "03/14/2022 03:12:19",
"content": "@zafakhyousay Has your question been resolved?",
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"timestamp": "03/14/2022 03:19:19",
"content": "It is already written in your picture",
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"timestamp": "03/14/2022 03:19:34",
"content": "so it is correct?",
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"timestamp": "03/14/2022 03:24:29",
"content": "Yes",
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"timestamp": "03/14/2022 03:26:12",
"content": "thanks",
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"author_name": "zafakhyousay",
"timestamp": "03/14/2022 03:26:13",
"content": ".close",
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"id": 952829997318545400,
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"timestamp": "03/14/2022 03:26:14",
"content": "Channel closed",
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] | help-10 | 8ef3ba33b59d438abcc1b048ab91aa36 |
1,238 | [
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"content": "Available help channel!",
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"id": 952836088555245600,
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"author_id": 350923327801655300,
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"timestamp": "03/14/2022 03:50:29",
"content": "circles have radius 1",
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"id": 952836130317946900,
"author_id": 350923327801655300,
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"timestamp": "03/14/2022 03:50:36",
"content": "how do i find the length of the square",
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"timestamp": "03/14/2022 03:50:50",
"content": "the line is straight, top 2 points are tangent",
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"timestamp": "03/14/2022 03:55:28",
"content": "(a,2a) is on the cycle (x-1)^2+(y-1)^2=1",
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"timestamp": "03/14/2022 03:56:07",
"content": "(a-1)^2+(2a-1)^2=1, quadratic, solve a, the answer is 2a",
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"id": 952838494919749600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 04:00:00",
"content": "Two roots then rule out one root",
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{
"id": 952838571100864500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 04:00:18",
"content": "Don't give the answer right away atleast.",
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{
"id": 952838579934089200,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 04:00:20",
"content": "...",
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"id": 952838650859753500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 04:00:37",
"content": "Edited",
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},
{
"id": 952838705628983300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 04:00:50",
"content": "You legit gave the answer even now though.",
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},
{
"id": 952838849107742700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 04:01:24",
"content": "Right, now it works.",
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"id": 952838878824374300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 04:01:31",
"content": "👍",
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{
"id": 952838886344761300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "03/14/2022 04:01:33",
"content": ":pandaWow:",
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"id": 952840145579704300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 04:06:33",
"content": "@mat Has your question been resolved?",
"attachments": [],
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"nickname": "mat",
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"id": 952840481472151700,
"author_id": 350923327801655300,
"author_name": "mat",
"timestamp": "03/14/2022 04:07:53",
"content": "all good",
"attachments": [],
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"id": 952840624858615800,
"author_id": 350923327801655300,
"author_name": "mat",
"timestamp": "03/14/2022 04:08:27",
"content": "wait wdym",
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"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 04:09:30",
"content": "Use coordinates",
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"id": 952844837714022400,
"author_id": 350923327801655300,
"author_name": "mat",
"timestamp": "03/14/2022 04:25:12",
"content": "ah got it",
"attachments": [],
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"id": 952844839999905800,
"author_id": 350923327801655300,
"author_name": "mat",
"timestamp": "03/14/2022 04:25:12",
"content": "ty",
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 04:55:13",
"content": "@mat Has your question been resolved?",
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"timestamp": "03/14/2022 05:17:36",
"content": "Channel closed",
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] | help-10 | ee0f8a0504c541c893a1621a7c05a225 |
1,239 | [
{
"id": 952858280869367900,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 05:18:37",
"content": "Available help channel!",
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"id": 952858982119276500,
"author_id": 431944088204607500,
"author_name": "intrusion",
"timestamp": "03/14/2022 05:21:24",
"content": "Yo I have a physics question I dont get",
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"timestamp": "03/14/2022 05:21:25",
"content": "Pinned a message.",
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"author_name": "intrusion",
"timestamp": "03/14/2022 05:22:34",
"content": "‘An object (with mass 40 kg) is lifted through a rope. Its acceleration is 2 m/s^2 (to the bottom). What is the force that the rope applies to the object?’",
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"id": 952859360776822800,
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"author_name": "intrusion",
"timestamp": "03/14/2022 05:22:54",
"content": "And the answer is 232 N. Im not getting it tbh",
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"timestamp": "03/14/2022 05:25:00",
"content": "What I did is\n`Fy = (40*2) - (40*9.81)`",
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"id": 952859940828110800,
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"author_name": "intrusion",
"timestamp": "03/14/2022 05:25:13",
"content": "But its completely wrong :KEK:",
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"id": 952861290433478700,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 05:30:34",
"content": "yo what does it mean by the acceleration is 2ms^-2 downwards",
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"id": 952861318518550500,
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"timestamp": "03/14/2022 05:30:41",
"content": "isnt the downwards acceleration the weight force",
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"timestamp": "03/14/2022 05:31:11",
"content": "as the mass is being lifted shouldnt it mean that the net acceleration of the body is 2 ms^-2 upwards",
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"id": 952861472847962100,
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"author_name": "intrusion",
"timestamp": "03/14/2022 05:31:18",
"content": "I have no idea",
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"author_name": "intrusion",
"timestamp": "03/14/2022 05:31:30",
"content": "I thought that just meant that the lifting is getting slower but idk",
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"timestamp": "03/14/2022 05:31:40",
"content": "hmm",
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"id": 952865008927268900,
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"timestamp": "03/14/2022 05:45:21",
"content": "ah ok i got it",
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"id": 952865089097187300,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 05:45:40",
"content": "so you need to use two formulae",
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"id": 952865147116978300,
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"timestamp": "03/14/2022 05:45:54",
"content": "when it says the acceleration is downwards that is your first formula",
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"id": 952865298837569500,
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"timestamp": "03/14/2022 05:46:30",
"content": "You know that the net vertical force is equal to the tension in the rope minus the downwards force.",
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"id": 952865363438207000,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 05:46:46",
"content": "Meaning you have two unkowns",
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"id": 952865376344088600,
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"timestamp": "03/14/2022 05:46:49",
"content": "$F_y=T-ma$",
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{
"id": 952865456920866800,
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"author_name": "OGC",
"timestamp": "03/14/2022 05:47:08",
"content": "you need to derive another formula to find the **tension force** in the string",
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"timestamp": "03/14/2022 05:48:09",
"content": "note: the downwards acceleration took into account weight, that is why you can safely say the net force equals the tension take away the downwards force (F = ma) of the object, where a is given",
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"timestamp": "03/14/2022 05:50:57",
"content": "does that make any sense 🤔, there is just one more formula you need to find T",
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"author_name": "TeXit",
"timestamp": "03/14/2022 05:55:56",
"content": "**OGC**",
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"timestamp": "03/14/2022 05:55:57",
"content": "@intrusion Has your question been resolved?",
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:00:54",
"content": "Im not sure why we need to remove ma from the found Tension",
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"id": 952869403106607100,
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"timestamp": "03/14/2022 06:02:49",
"content": "So what I did is \n`Fy = ma`\nWhich means\n`F + 392,4 = -80`\nWhere -80 is ma and 392,4 is `40*9.81`",
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"id": 952869501391753200,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:03:12",
"content": "In which case I get F = 312\nAnd 312 - 80 is indeed the solution",
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"id": 952869576578846700,
"author_id": 431944088204607500,
"author_name": "intrusion",
"timestamp": "03/14/2022 06:03:30",
"content": "Tho I dont understand this last step",
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"author_name": "OGC",
"timestamp": "03/14/2022 06:05:11",
"content": "Ye, so this problem was set such that it directly gave you the net upwards force (the unkown) and the net downwards force... You know this, because when it says string attached to a mass, you clearly know tension is the only force up, however, when it gives you the acceleration it refers to the net downawards acceleration as the problem specifiically referred to. Given Newton's second law, you know that this net force can be expressed as F=ma",
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"id": 952870272342569000,
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"author_name": "OGC",
"timestamp": "03/14/2022 06:06:16",
"content": "So you only have two forces to work with in the vertical direction, and taking the vector sum you end up with Fy = T - ma.",
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"author_name": "OGC",
"timestamp": "03/14/2022 06:06:45",
"content": "In this scenario you didnt take into account the tension force acting in the vertical direction.",
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"id": 952870533773525000,
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"author_name": "OGC",
"timestamp": "03/14/2022 06:07:18",
"content": "you considered the net force as the net force of the entire system, whereas the question refers to the downward acceleration as downwards, hence, opposing the tension.",
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"id": 952870641621672000,
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"author_name": "OGC",
"timestamp": "03/14/2022 06:07:44",
"content": "The difference between these forces is what generates the upwards force, so if the forces were equal you would have an equilibrium",
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"id": 952870824564629500,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:08:28",
"content": "Brb 5 min ill try to read everything very carefully lol",
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"id": 952870858748219500,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:08:36",
"content": "Thanks meanwhile btw very helpful 🙂",
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"author_name": "OGC",
"timestamp": "03/14/2022 06:08:46",
"content": "ye np take ur time 👍",
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"id": 952871415563038800,
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"author_name": "OGC",
"timestamp": "03/14/2022 06:10:48",
"content": "just try to consider that there are only two forces: the tension and the downwards force, and the question made it easier for you in giving you the net acceleration, which allows you to find the net downwards force",
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 06:38:37",
"content": "@intrusion Has your question been resolved?",
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:54:58",
"content": "Oh wait I think I can see it now",
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"id": 952882657061113900,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:55:29",
"content": "Because the question wants us to find the force that is applied, which is the summ of all forces on the y axis",
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"id": 952882801777201200,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:56:03",
"content": "So since the acceleration is negative F == 40*-2 which is -80",
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"id": 952882892755828700,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:56:25",
"content": "But the weight force downwards is still the same as I calculated, which is 40*9.81",
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"id": 952883016122921000,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:56:54",
"content": "So the sum between -80 and (40*9.81) and then remove 80",
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"id": 952883434739605600,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 06:58:34",
"content": "$F_y=T-ma$",
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},
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"id": 952883444717879300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/14/2022 06:58:36",
"content": "**OGC**",
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"id": 952883474166054900,
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"timestamp": "03/14/2022 06:58:43",
"content": "this is the net vertical force ye",
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"id": 952883492902027300,
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"author_name": "intrusion",
"timestamp": "03/14/2022 06:58:48",
"content": "Yeah that",
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"id": 952883536212398100,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 06:58:58",
"content": "so u have everything except T",
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"id": 952883799128170500,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 07:00:01",
"content": "find one more equation",
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},
{
"id": 952883829608181800,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 07:00:08",
"content": "it also would have ma in it",
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},
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"id": 952883970620682200,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 07:00:42",
"content": "its a more general equation which u may be used to in tension/pulley problems",
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"id": 952884123142328300,
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"author_name": "intrusion",
"timestamp": "03/14/2022 07:01:18",
"content": "Got it now, thanks again 👍",
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 07:01:54",
"content": "Channel closed",
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}
] | help-10 | da2c65f861b84226b743e4f629d82554 |
124 | [
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"timestamp": "01/17/2022 16:40:52",
"content": "Available help channel!",
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},
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"id": 932751742955835400,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:42:25",
"content": "i just need to know if my answer is correct",
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"timestamp": "01/17/2022 16:42:25",
"content": "Pinned a message.",
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"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:42:59",
"content": "i did 14 x 12 x 10 x 8",
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"id": 932754219046416500,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:52:15",
"content": "is that correct^",
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"id": 932755117038501900,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:55:49",
"content": "could i get steps on how to do this question please",
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"id": 932755294600171500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:56:31",
"content": "So what are the possibilities",
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},
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"id": 932755302485483500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:56:33",
"content": "for the 2 shapes?",
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},
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"id": 932755392524615700,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:56:55",
"content": "is it 13440?",
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},
{
"id": 932755507276550100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:57:22",
"content": "🟥 ⚫ OR ⬛ 🔴",
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},
{
"id": 932755519880458200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:57:25",
"content": "Do you agree?",
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},
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"id": 932755561181741000,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:57:35",
"content": "yes",
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},
{
"id": 932755598062272600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:57:44",
"content": "So we add these 2 cases.",
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},
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"id": 932755635257360400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:57:53",
"content": "I don't know why you are multiplying everything together",
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},
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"id": 932755663396941800,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:57:59",
"content": "oh my bad",
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"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:58:18",
"content": "so what do u add",
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"id": 932755757261262800,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:58:22",
"content": "i mean",
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},
{
"id": 932755775795904600,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:58:26",
"content": "from the info",
"attachments": [],
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},
{
"id": 932755782632616100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:28",
"content": "You count how many",
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},
{
"id": 932755795781767200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:31",
"content": "are",
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},
{
"id": 932755807848763400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:34",
"content": "🟥 ⚫",
"attachments": [],
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"reference": null
},
{
"id": 932755816333856800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:36",
"content": "THEN",
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},
{
"id": 932755830846152700,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:39",
"content": "You count how many are",
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},
{
"id": 932755839926820900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:42",
"content": "⬛ 🔴",
"attachments": [],
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},
{
"id": 932755887540564000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:58:53",
"content": "Then you add the 2 together. For the total.",
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"id": 932755991521550300,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:59:18",
"content": "so 44?",
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},
{
"id": 932756022949458000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:25",
"content": "let me see",
"attachments": [],
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},
{
"id": 932756052229882000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:32",
"content": "I don't agree.",
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},
{
"id": 932756066058510500,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 16:59:35",
"content": "oh",
"attachments": [],
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},
{
"id": 932756104000176300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:44",
"content": "Firstly",
"attachments": [],
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},
{
"id": 932756114284634200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:47",
"content": "Tell me how many are this",
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},
{
"id": 932756115815551000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:47",
"content": "🟥 ⚫",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932756134673125400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:52",
"content": "Red square, Black sphere",
"attachments": [],
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"reference": null
},
{
"id": 932756163626410000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 16:59:59",
"content": "How many ways can she result in this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932756240126345300,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:00:17",
"content": "14 red square and 8 black spheres",
"attachments": [],
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},
{
"id": 932756309604986900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:33",
"content": "Right.",
"attachments": [],
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},
{
"id": 932756338298216400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:40",
"content": "You should imagine these are all different sizes",
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},
{
"id": 932756355922690000,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:00:45",
"content": "ok",
"attachments": [],
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},
{
"id": 932756369545777300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:48",
"content": "Or maybe, each of these are labelled",
"attachments": [],
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},
{
"id": 932756381092679800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:51",
"content": "A B C D E ...",
"attachments": [],
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},
{
"id": 932756395252654100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:54",
"content": "So they are different",
"attachments": [],
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},
{
"id": 932756414168989700,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:00:58",
"content": "Now how many choices can she make?",
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},
{
"id": 932756458494361600,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:01:09",
"content": "for both?",
"attachments": [],
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},
{
"id": 932756504942116900,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:01:20",
"content": "112?",
"attachments": [],
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},
{
"id": 932756515134267500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:01:22",
"content": "Yes, she is choosing 1 red square and 1 black sphere",
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},
{
"id": 932756548026007600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:01:30",
"content": "yes, 112.",
"attachments": [],
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},
{
"id": 932756559354789900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:01:33",
"content": "Now for the other case?",
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},
{
"id": 932756606536540200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:01:44",
"content": "⬛ 🔴",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932756634923565000,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:01:51",
"content": "12 and 10",
"attachments": [],
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},
{
"id": 932756712614666200,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:10",
"content": "so is it 120",
"attachments": [],
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},
{
"id": 932756726510420100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:02:13",
"content": "ok.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932756740607475800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:02:16",
"content": "So the final answer is?",
"attachments": [],
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},
{
"id": 932756765584547800,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:22",
"content": "112 + 120",
"attachments": [],
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},
{
"id": 932756786233086100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:02:27",
"content": "👌",
"attachments": [],
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},
{
"id": 932756788363788300,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:28",
"content": "232",
"attachments": [],
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},
{
"id": 932756801491964000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:02:31",
"content": "Do you understand the process?",
"attachments": [],
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},
{
"id": 932756810866241700,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:33",
"content": "thank you so much",
"attachments": [],
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},
{
"id": 932756814905348100,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:34",
"content": "yes",
"attachments": [],
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},
{
"id": 932756837462335600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 17:02:39",
"content": "👌",
"attachments": [],
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},
{
"id": 932756884069445800,
"author_id": 517366138682867700,
"author_name": "Sand.gt",
"timestamp": "01/17/2022 17:02:50",
"content": ".close",
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},
{
"id": 932756885357097100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 17:02:51",
"content": "Channel closed",
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}
] | help-10 | 4f713a8c390a44f8a1793e51287595ba |
1,240 | [
{
"id": 952884447294927000,
"author_id": 437146062395015200,
"author_name": "OGC",
"timestamp": "03/14/2022 07:02:35",
"content": "ye all good",
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},
{
"id": 952884526357577900,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 07:02:54",
"content": "Available help channel!",
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"reference": null
},
{
"id": 952885633729298400,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
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"content": "",
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"id": 952885636166201500,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 07:07:19",
"content": "Pinned a message.",
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{
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"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:08:07",
"content": "Who do you do b) it makes little sense. What I did was I found 2A, 3C and 4B",
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},
{
"id": 952885938571341800,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:08:31",
"content": "when By the look of it if i add 2A+3C it doesnt = 4B",
"attachments": [],
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},
{
"id": 952886086269542400,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/14/2022 07:09:06",
"content": "Subtract the multiplication of 4 with B and multiplication of 2 with A",
"attachments": [],
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},
{
"id": 952886119576502300,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/14/2022 07:09:14",
"content": "The divide the whole thing with 3",
"attachments": [],
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},
{
"id": 952886165093093500,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:09:25",
"content": "but why?",
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},
{
"id": 952886165298634900,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/14/2022 07:09:25",
"content": "(4B-2A)/3",
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},
{
"id": 952886250174578700,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:09:45",
"content": "I cant do it with 2A+3C?",
"attachments": [],
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},
{
"id": 952886281724112900,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:09:53",
"content": "seems a little weird",
"attachments": [],
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"reference": null
},
{
"id": 952886379568832500,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:10:16",
"content": "I see what you did",
"attachments": [],
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},
{
"id": 952886419406356500,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/14/2022 07:10:26",
"content": "Firstly, the C that you calculated in question a or c is not applicable for b",
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},
{
"id": 952886429606875300,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:10:28",
"content": "Am i finding the value of C?",
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},
{
"id": 952886462616055800,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:10:36",
"content": "O",
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},
{
"id": 952886595030233100,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/14/2022 07:11:08",
"content": "the Matrix C in all the 3 questions a, b and c have different values",
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},
{
"id": 952886737783365800,
"author_id": 896224543738306600,
"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:11:42",
"content": "Okay I thought C would be the same for whatever reason. Thanks for clarifying",
"attachments": [],
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"reference": null
},
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"timestamp": "03/14/2022 07:11:54",
"content": "Since 2A+3C = 4B,\nBy solving algebraically,\n3C = 4B-2A\nC = (4B-2A)/3",
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"timestamp": "03/14/2022 07:12:07",
"content": "Yea",
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"timestamp": "03/14/2022 07:14:28",
"content": "Yep awesome got the same answer",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:14:32",
"content": "Thank you!",
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"author_name": "Ex-FighterMan0",
"timestamp": "03/14/2022 07:14:34",
"content": ".close",
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"timestamp": "03/14/2022 07:14:34",
"content": "Channel closed",
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] | help-10 | fd1754c60ed445af9e43ff2f31b81c2e |
1,241 | [
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"content": "Available help channel!",
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"content": "How does this converge at .75",
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"content": "I understand that the limit is 0 and therefore the numbers added get smaller",
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"content": "But I’m lost on how the numbers sum to 3/4",
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"content": "@gnu Has your question been resolved?",
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"content": "Thats really strange, I dont know if thats right.",
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"timestamp": "03/14/2022 07:49:02",
"content": "but then again I'm not the brightest in math so",
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"author_id": 754919290355843200,
"author_name": "Shaaan Yanggg",
"timestamp": "03/14/2022 07:58:20",
"content": "I’m guessing that the summation series goes:\n\n1/3 + 1/8 + 1/15 + 1/24 … \n\nRight?",
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"timestamp": "03/14/2022 08:01:29",
"content": "u can split that expression and express in terms of two partial fractions and proceed from that stage, it'll become more clear to you",
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"timestamp": "03/14/2022 08:01:51",
"content": "I got to here",
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"timestamp": "03/14/2022 08:02:03",
"content": "But I’m not sure what to do next",
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"timestamp": "03/14/2022 08:05:17",
"content": "my handwriting sucks so I can't send a pic",
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"id": 952900539195224000,
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"timestamp": "03/14/2022 08:06:32",
"content": "Aw :/",
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"author_name": "ScapeProf",
"timestamp": "03/14/2022 08:08:16",
"content": "\\begin{align*}\\sum_{n=2}^\\infty\\frac{1}{n^2-1}&=\\frac{1}{2}\\sum_{n=1}^\\infty \\frac{1}{n}-\\frac{1}{n+2} \\\\\n&=\\frac{1}{2}\\sum_{n=1}^\\infty \\left(\\frac{1}{n}+\\frac{1}{n+1}\\right)-\\left(\\frac{1}{n+1}+\\frac{1}{n+2}\\right)\\end{align*}",
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"timestamp": "03/14/2022 08:09:23",
"content": "How did you get the 1/n - 1/n+2? Thank you btw",
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"author_name": "TeXit",
"timestamp": "03/14/2022 08:09:40",
"content": "**ScapeProf**",
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"timestamp": "03/14/2022 08:10:13",
"content": "You have 1/(n-1)-1/(n+2)",
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"author_name": "ScapeProf",
"timestamp": "03/14/2022 08:10:15",
"content": "Index shift",
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"timestamp": "03/14/2022 08:10:25",
"content": "Telescoping now",
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"timestamp": "03/14/2022 08:10:27",
"content": "Oh hmmm very interesting",
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"timestamp": "03/14/2022 08:10:38",
"content": "Ive never seen that but it makes sense!",
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"id": 952901578677952600,
"author_id": 869296555801342000,
"author_name": "gnu",
"timestamp": "03/14/2022 08:10:40",
"content": "Thanks",
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"id": 952903487686049800,
"author_id": 869296555801342000,
"author_name": "gnu",
"timestamp": "03/14/2022 08:18:15",
"content": "What changes when we do this?",
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"id": 952903509248979000,
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"timestamp": "03/14/2022 08:18:20",
"content": "Other than n",
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"id": 952903756670988300,
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"author_name": "gnu",
"timestamp": "03/14/2022 08:19:19",
"content": "I’m not sure where the 1/n is from",
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"id": 952904090797621200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "03/14/2022 08:20:39",
"content": "If you plug in n=2 in 1/(n-1) it is the same as plugging in n=1 in 1/n?",
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"timestamp": "03/14/2022 08:20:56",
"content": "Ohhhh yes thanks",
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"timestamp": "03/14/2022 08:50:56",
"content": "@gnu Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 091c72f2f8694f02ad20d870478da520 |
1,242 | [
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"content": "Available help channel!",
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"id": 952921352774488200,
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"timestamp": "03/14/2022 09:29:14",
"content": "Can someone help me? How can I write the Euler-Lagrange equation in terms of generalized coordinates and velocities?",
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"content": "@Deleted User Has your question been resolved?",
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] | help-10 | e012e9b0719743f8ba9d62d9c5f4d03d |
1,243 | [
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"content": "@ZED_118 Has your question been resolved?",
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"content": "@ZED_118 Has your question been resolved?",
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] | help-10 | 5408b460ecfe424ba3b4ba3a52b0a8f5 |
1,244 | [
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"id": 953000273343828000,
"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:42:51",
"content": "Hi",
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"timestamp": "03/14/2022 14:43:10",
"content": "Here",
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"id": 953000381523304600,
"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:43:16",
"content": "In the point of inflection",
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"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:43:31",
"content": "@Deleted Account ????",
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"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:44:08",
"content": "@Helpers",
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"id": 953000657021980800,
"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:44:22",
"content": "In the point of inflection I",
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"id": 953000713347281000,
"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:44:35",
"content": "it has the abscissa x = -2",
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"id": 953000751301541900,
"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:44:45",
"content": "and what is y?",
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"author_id": 921827858026995800,
"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:45:03",
"content": "Does it f''(-2) ???",
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"id": 953000866267398100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 14:45:12",
"content": "if it wants the point on the graph",
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"id": 953000892758655000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 14:45:18",
"content": "then the point will be just f(2)",
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"timestamp": "03/14/2022 14:46:02",
"content": "But it is point of inflection",
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"content": "Which is f''(x)",
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"timestamp": "03/14/2022 14:46:56",
"content": "@Kaisheng21",
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"timestamp": "03/14/2022 14:47:00",
"content": "yes",
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"timestamp": "03/14/2022 14:47:32",
"content": "let the point where the abcissa is be (x, y)",
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"timestamp": "03/14/2022 14:47:39",
"content": "then at that point, f''(x) = 0",
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"timestamp": "03/14/2022 14:47:45",
"content": "then, for that x, y = f(x)",
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"timestamp": "03/14/2022 14:48:04",
"content": "ok",
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"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:48:32",
"content": "@Kaisheng21",
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"timestamp": "03/14/2022 14:48:32",
"content": "What about this?",
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"timestamp": "03/14/2022 14:48:43",
"content": "nope",
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"timestamp": "03/14/2022 14:48:53",
"content": "should be f(2), not f''(x)",
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"author_name": "Mahdi M.",
"timestamp": "03/14/2022 14:49:24",
"content": "So it should be f(-2) not f''(-2)",
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"timestamp": "03/14/2022 14:55:08",
"content": "@Kaisheng21 is this true?",
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"timestamp": "03/14/2022 14:56:21",
"content": "that's what i said",
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"timestamp": "03/14/2022 14:56:37",
"content": "Ok thank you @Kaisheng21",
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"timestamp": "03/14/2022 14:57:12",
"content": "How to give an feedback? @Kaisheng21",
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"timestamp": "03/14/2022 14:57:23",
"content": "t!rep @Kaisheng21",
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"author_name": "Tatsu",
"timestamp": "03/14/2022 14:57:23",
"content": ":Reputation_Icon: **Mahdi has given @Kaisheng21 a reputation point!**",
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"timestamp": "03/14/2022 14:57:26",
"content": "Ok",
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"timestamp": "03/14/2022 14:57:30",
"content": ".close",
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"author_id": 805217272087838700,
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"timestamp": "03/14/2022 14:57:30",
"content": "Channel closed",
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] | help-10 | 023545815120492caabba2f9c33eabc2 |
1,245 | [
{
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"timestamp": "03/14/2022 14:58:30",
"content": "Available help channel!",
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"timestamp": "03/14/2022 15:05:16",
"content": "Good afternoon folks",
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"timestamp": "03/14/2022 15:05:31",
"content": "Hello guys",
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"author_name": "BoredFromlife",
"timestamp": "03/14/2022 15:05:40",
"content": "growth of a spherical tumor modeled as a function of the population of germs (g in Million) in tumor, v(g) = 1.5 g?, When the diameter of the tumor is 2V15 , and population of germs is 20m and it is growing at a rate of 2m /day. How fast is the diameter of the tumor changing at that time?",
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"timestamp": "03/14/2022 15:06:00",
"content": "My brain froze",
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"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:06:00",
"content": "1: Why did we need to calculate all those derivatives when we could just insert a = 1 into the taylor summation formula.\n2: How did we go from the left side of the summation equation to the series?",
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"timestamp": "03/14/2022 15:06:05",
"content": "Any help?",
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"timestamp": "03/14/2022 15:06:16",
"content": "Sir this is wendy's",
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"timestamp": "03/14/2022 15:06:18",
"content": "bruh",
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"id": 953006199119417500,
"author_id": 209767680100663300,
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"timestamp": "03/14/2022 15:06:23",
"content": "get outta here, someone else got here first",
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"timestamp": "03/14/2022 15:06:31",
"content": "one question per channel at a time",
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"timestamp": "03/14/2022 15:06:39",
"content": "K thx",
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"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:06:42",
"content": "Yes, I believe this channel has been assigned to me.",
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"timestamp": "03/14/2022 15:06:46",
"content": "No worries tho @BoredFromlife",
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"timestamp": "03/14/2022 15:07:17",
"content": "what do you think the taylor summation formula is",
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"timestamp": "03/14/2022 15:07:41",
"content": "you sum up all the derivatives?",
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"timestamp": "03/14/2022 15:08:10",
"content": "??",
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"timestamp": "03/14/2022 15:08:19",
"content": "yeah so you need the derivatives to calculate it",
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"timestamp": "03/14/2022 15:09:06",
"content": "How can you capture the range (0 to infinity) with just 4 derivatives tho?",
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"content": "?",
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"timestamp": "03/14/2022 15:09:25",
"content": "basically they noticed a pattern",
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"timestamp": "03/14/2022 15:09:45",
"content": "^",
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"timestamp": "03/14/2022 15:10:16",
"content": "the zeroth derivative was 1\nthe first derivative was -1\nthe second derivative was 2!\nthe third derivative was -3!\nthe fourth derivative was 4!\n\nso they say that the nth derivative is gonna be (-1)^n * n!",
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"timestamp": "03/14/2022 15:10:37",
"content": "if you have the nth derivative, the general derivative for any n, then you can get all of them",
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"timestamp": "03/14/2022 15:11:43",
"content": "Ok, so the point of derivatives is to see what values they return at a given x = a point",
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"timestamp": "03/14/2022 15:11:51",
"content": "sure",
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"timestamp": "03/14/2022 15:11:59",
"content": "then you identify a pattern, write that into a series form",
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"timestamp": "03/14/2022 15:12:03",
"content": "is that what they did?",
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"timestamp": "03/14/2022 15:12:52",
"content": "you want to work out this",
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"timestamp": "03/14/2022 15:13:03",
"content": "and you know this",
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"timestamp": "03/14/2022 15:13:11",
"content": "so if you just substitute that into the first thing",
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"timestamp": "03/14/2022 15:13:12",
"content": "then you get",
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"timestamp": "03/14/2022 15:15:56",
"content": "so doing the derivatives lets you find out this component of the taylor series, correct?",
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"timestamp": "03/14/2022 15:18:09",
"content": "yes",
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"timestamp": "03/14/2022 15:18:13",
"content": "@Kaisheng21 sorry im jut lost on where each component fits",
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"timestamp": "03/14/2022 15:18:43",
"content": "?",
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"timestamp": "03/14/2022 15:18:53",
"content": "i don't understand",
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"timestamp": "03/14/2022 15:19:21",
"content": "my line of thinking is",
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"timestamp": "03/14/2022 15:20:13",
"content": "Given a fn and x =a, find the first nth derivative to find the circled component in blue, and use that to find the Taylor series of the fn.",
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"timestamp": "03/14/2022 15:20:28",
"content": "yes",
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"timestamp": "03/14/2022 15:20:45",
"content": "Ok",
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"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:21:00",
"content": "but how do we systematically figure out what those series of numbers equal?",
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"timestamp": "03/14/2022 15:21:14",
"content": "??",
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"timestamp": "03/14/2022 15:21:30",
"content": "i mean",
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"timestamp": "03/14/2022 15:21:33",
"content": "you've found the taylor series",
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"id": 953010029915676700,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:21:37",
"content": "like you figured this out > (-1)^n * n!",
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"timestamp": "03/14/2022 15:21:37",
"content": "you're done",
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"timestamp": "03/14/2022 15:21:48",
"content": "like",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:21:48",
"content": "no i don't understand the process rn",
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"timestamp": "03/14/2022 15:22:05",
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"timestamp": "03/14/2022 15:22:08",
"content": "so this is the end result",
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"author_id": 209767680100663300,
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"timestamp": "03/14/2022 15:22:12",
"content": "this is still a series",
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"author_id": 209767680100663300,
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"timestamp": "03/14/2022 15:22:17",
"content": "the end result is a series",
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"timestamp": "03/14/2022 15:22:41",
"content": "you're not finding an answer that doesn't have a sigma in it",
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"id": 953010573413605400,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:23:46",
"content": "like, there isn't gonna be any nice answer to 'what does this series of numbers equal'",
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"timestamp": "03/14/2022 15:23:58",
"content": "there's not gonna be a more nice form than this last series",
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"timestamp": "03/14/2022 15:24:28",
"content": "",
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"timestamp": "03/14/2022 15:24:40",
"content": "I guess my question is how the dude on the left became the dude on the right",
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"timestamp": "03/14/2022 15:26:36",
"content": "I don't follow how the blue line happened",
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"timestamp": "03/14/2022 15:26:57",
"content": "How are you able to just come up with an algebraic form like that",
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"timestamp": "03/14/2022 15:29:46",
"content": "ok well if you ignore the minus signs",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:29:52",
"content": "then it's just 1, 1, 2!, 3!, 4!",
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"timestamp": "03/14/2022 15:30:02",
"content": "so it's just gonna be n!, right",
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"timestamp": "03/14/2022 15:30:08",
"content": "now, considering the minus signs",
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"timestamp": "03/14/2022 15:30:17",
"content": "it goes like +, -, +, -, +...",
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"timestamp": "03/14/2022 15:30:24",
"content": "so that's gonna be (-1)^n",
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"id": 953012266683478000,
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"timestamp": "03/14/2022 15:30:30",
"content": "right",
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"timestamp": "03/14/2022 15:30:32",
"content": "oh wait",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:30:35",
"content": "how did u know to add ^n",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:30:38",
"content": "because (-1)^0 = 1, positive",
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"timestamp": "03/14/2022 15:30:38",
"content": "I get the -1 part",
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"id": 953012316369199100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:30:42",
"content": "(-1)^1 = -1, negative",
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{
"id": 953012316792823900,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:30:42",
"content": "but why ^n?",
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"timestamp": "03/14/2022 15:30:52",
"content": "(-1)^2 = 1, positive",
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"id": 953012379040485400,
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"timestamp": "03/14/2022 15:30:57",
"content": "(-1)^3 = -1, negative",
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"id": 953012380609171500,
"author_id": 852592874754932700,
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"timestamp": "03/14/2022 15:30:57",
"content": "ohhh",
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"id": 953012391426261000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:31:00",
"content": "OH WOW",
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},
{
"id": 953012395402489900,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:31:01",
"content": "ok",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:31:03",
"content": "so yeah it's just a thing that works",
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"author_id": 852592874754932700,
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"timestamp": "03/14/2022 15:31:06",
"content": "right",
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"id": 953012471910780900,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:31:19",
"content": "this is why I get hooked on calc",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:31:21",
"content": ":feelsbadman:",
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"id": 953012573450686500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:31:43",
"content": "the dopamine kick I just got from figuring out (-1)^n is better than ~~cocaine~~ caffeine",
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"timestamp": "03/14/2022 15:32:03",
"content": "What about n!?",
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"timestamp": "03/14/2022 15:32:10",
"content": "Who says that's true for all n?",
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"id": 953012738056130700,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:32:22",
"content": "they just took it for granted bc the pattern is so obvious",
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"id": 953012756347514900,
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"timestamp": "03/14/2022 15:32:27",
"content": "they just assumed",
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"id": 953012777021218800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:32:32",
"content": "you can probs prove it explicitly",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:32:41",
"content": "induction",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:32:43",
"content": "Right but I'm a noob so I don't understand why it's taken for granted",
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"timestamp": "03/14/2022 15:32:53",
"content": "like, I wouldn't be able to figure this out on an exam",
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"timestamp": "03/14/2022 15:32:54",
"content": "well it's taken for granted bc it fits lol",
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"timestamp": "03/14/2022 15:32:55",
"content": ":sadge:",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:33:03",
"content": "because the 0th one is 0!",
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"id": 953012919757574300,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:33:06",
"content": "the 1st one is 1!",
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"id": 953012938782945300,
"author_id": 209767680100663300,
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"timestamp": "03/14/2022 15:33:10",
"content": "the 2nd one is 2!",
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"id": 953012957669896300,
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"timestamp": "03/14/2022 15:33:15",
"content": "the 3rd one is 3!",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:33:27",
"content": "so they just assume it's gonna be like that always",
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"timestamp": "03/14/2022 15:33:39",
"content": "because of the numerator?",
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"timestamp": "03/14/2022 15:35:03",
"content": "yes",
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"id": 953013445614272500,
"author_id": 209767680100663300,
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"timestamp": "03/14/2022 15:35:11",
"content": "they just evaluate those at 1",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 15:35:42",
"content": "they put 1 in, and it comes out as \n0!\n-1!\n2!\n-3!\n4!\n\nso they just assume it's gonna be (-1)^n * n! the whole time",
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"id": 953013930773602300,
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"timestamp": "03/14/2022 15:37:07",
"content": "ohh",
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"timestamp": "03/14/2022 15:37:13",
"content": "hm alright",
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"author_name": "CoffeePls",
"timestamp": "03/14/2022 15:37:17",
"content": "im gonna go give this a try",
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"timestamp": "03/14/2022 15:37:20",
"content": "thanks",
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"content": "@Kaisheng21ty",
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"timestamp": "03/14/2022 15:37:29",
"content": ".close",
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"id": 953014027796222000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 15:37:30",
"content": "Channel closed",
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] | help-10 | d9f30e0c0c9445b78184e2c117d5db7e |
1,246 | [
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"timestamp": "03/14/2022 15:38:30",
"content": "Available help channel!",
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"content": "sin(180-2x) times 7.5 = 9 times sin (x)",
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"content": "Pinned a message.",
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] | help-10 | 39a1820286564eecbe63ed29d928e291 |
1,247 | [
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"content": "So here, I am given this, and is asked to demonstrate whether it is a subspace",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:11:01",
"content": "Here, I am seeing if it is closed under addition, which I've shown that it is not with the work above",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
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"content": "Is the way I approached this proper and sufficient to say that it is not closed?",
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"content": "subspace of what?",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
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"content": "I don't know how to answer that question, can you clarify?",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:14:05",
"content": "This is all I was given",
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"content": "subspaces of R, then?",
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"timestamp": "11/09/2021 07:14:40",
"content": "That sounds right",
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"content": "welll, if it fails to be closed under addition, it's not a subspace",
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"timestamp": "11/09/2021 07:16:14",
"content": "Right",
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"timestamp": "11/09/2021 07:16:24",
"content": "assuming the addition is that associated with R",
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"content": "there is an extra +1, so...",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:17:47",
"content": "So what I've written up there is correct and sufficient to conclude that it is not a subspace?",
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"timestamp": "11/09/2021 07:17:57",
"content": "and the condition being that the second entry = 1st entry + 3rd entry + 1",
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"timestamp": "11/09/2021 07:18:00",
"content": "sure",
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"content": "you'd probably have to say that the sum is not equivalent to the one in the initial condition, though",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:19:29",
"content": "Yeah, you're right. It would be better to refer back to *\"and the condition being that the second entry = 1st entry + 3rd entry + 1\"*",
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"timestamp": "11/09/2021 07:20:00",
"content": "say that explicitly, then you're good",
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"timestamp": "11/09/2021 07:20:49",
"content": "Thinking about it, that last statement is probably pretty important because what I've written up there doesn't tie to it not being a subspace if I don't state that",
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"timestamp": "11/09/2021 07:21:10",
"content": "it also fails to be closed under multiplication by scalars",
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"timestamp": "11/09/2021 07:21:35",
"content": "which might be more brief for you",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:22:05",
"content": "Oh I didn't consider that, thank you",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:22:28",
"content": "Alright, this was very helpful, I thank you for your time and response",
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"author_name": "FᴀʟʟᴇɴPɪᴀɴᴏ",
"timestamp": "11/09/2021 07:22:32",
"content": ".close",
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"timestamp": "11/09/2021 07:22:32",
"content": "Channel closed",
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] | help-10 | a5732c7cef724859897afa4f043ebe3b |
1,248 | [
{
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"content": "Available help channel!",
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"timestamp": "03/14/2022 16:30:11",
"content": "i got up to:",
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"content": "2^2x - 18^x = -8",
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"content": "wait im stupid its just a quadratic nvm",
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"timestamp": "03/14/2022 16:33:22",
"content": "sorry",
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"timestamp": "03/14/2022 16:33:27",
"content": ".close",
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] | help-10 | b7bdbf2332cc4d85901627861fb81d60 |
1,249 | [
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"content": "Available help channel!",
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"timestamp": "03/14/2022 16:40:06",
"content": "How would you draw the point of, on a graph, something like..\n\nY is bigger than or equal to -2\n\n× > 3\n\nY > 3x + 1",
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"timestamp": "03/14/2022 16:44:15",
"content": "It’s not a point l",
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"content": "It’s an area",
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"timestamp": "03/14/2022 16:44:25",
"content": "Draw a line and shade the inequality",
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"id": 953031410879434800,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "03/14/2022 16:46:34",
"content": "Also, because x > 3 and y > 3x + 1, you automatically get y > 10, which makes the y >= -2 condition redundant",
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"timestamp": "03/14/2022 16:55:06",
"content": "@b0a Has your question been resolved?",
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"timestamp": "03/14/2022 16:56:38",
"content": "I'm confused lol",
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"timestamp": "03/14/2022 16:56:49",
"content": "I think I get it nvm",
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] | help-10 | 187bdbb3c0e1456da83e633c17c322e3 |
125 | [
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"timestamp": "11/03/2021 20:57:01",
"content": "How is this divergent? I separated the limit to the the numerator and denominator. lim/lim",
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"timestamp": "11/03/2021 20:57:13",
"content": "I got undefined/infinity",
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"author_name": "Omegabet_",
"timestamp": "11/03/2021 20:58:34",
"content": "cause it never converges",
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"author_name": "Omegabet_",
"timestamp": "11/03/2021 20:58:48",
"content": "you get lim x-> inf (-1)^x by analysis",
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"id": 905622602310119400,
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"timestamp": "11/03/2021 21:00:54",
"content": "oo nice",
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"id": 905622649823166600,
"author_id": 398242893535510500,
"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:01:05",
"content": "so if i ever encounter something like this i would say it diverges?",
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"id": 905622769390223400,
"author_id": 398242893535510500,
"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:01:33",
"content": "Is it because of the 8x being there?",
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"timestamp": "11/03/2021 21:01:36",
"content": "",
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"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:01:47",
"content": "Just testing some things out and this one converges to 0",
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"author_name": "Omegabet_",
"timestamp": "11/03/2021 21:02:00",
"content": "yeah, cause you have constant/(going to inf)",
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"timestamp": "11/03/2021 21:03:20",
"content": "just to clarify if i were to draw a graph it would look like it's oscilatting and gets closer to zero",
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"timestamp": "11/03/2021 21:03:36",
"content": "drawing the graph is near impossible",
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"timestamp": "11/03/2021 21:04:19",
"content": "o i thought it would look like",
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"author_id": 398242893535510500,
"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:04:33",
"content": "cause it alternates between negative and positive",
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"id": 905623523710627800,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "11/03/2021 21:04:33",
"content": "yeah if you restrict yourself to x in N",
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"author_id": 398242893535510500,
"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:04:43",
"content": "alroght thanks for the help",
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"id": 905623613460348900,
"author_id": 398242893535510500,
"author_name": "RESIDGE",
"timestamp": "11/03/2021 21:04:55",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2021 21:04:55",
"content": "Channel closed",
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}
] | help-10 | 48411ce5d4e84538a186ffd6bcb178ea |
1,250 | [
{
"id": 953036925445488600,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 17:08:29",
"content": "Available help channel!",
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:15:37",
"content": "Find solutions for 11x+7y=200 in set of natural numbers, i got:\n(x,y)=(400+7k,-600-11k);keZ\nbut how do i make it be in set of natural numbers",
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"content": "Pinned a message.",
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"author_id": 826318983413366800,
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"timestamp": "03/14/2022 17:23:48",
"content": "11 and 7 are coprime",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:24:00",
"content": "There is a result about solutions of ax+by=c where a and b are relatively prime",
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"id": 953040861082583000,
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"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:24:07",
"content": "if you find one solution (x_0,y_0) then all solutions are (x_0+bt,y_0-at) for all integers t. Use this",
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"id": 953040877041897500,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:24:11",
"content": "yes",
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"id": 953040883715018900,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:24:13",
"content": "i did that",
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"id": 953040936596832300,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:24:25",
"content": "but for just natural numbers/ whole numbers >0",
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"id": 953040945283215400,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:24:28",
"content": "i tried this",
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"id": 953040959061524500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:24:31",
"content": "Just solve range of t then",
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"id": 953040981752705000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:24:36",
"content": "k",
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{
"id": 953040995346444300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:24:39",
"content": "You used k",
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{
"id": 953041113474818200,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:25:08",
"content": "400+7k>0 => k>-57\n-600-11k>0 => k<-54\nk e {-56,-55}",
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"id": 953041130201681900,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:25:12",
"content": "is that correct",
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"id": 953041145733185500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:25:15",
"content": "400+k>=0,-600-11k>=0",
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},
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"id": 953041193174986900,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:25:27",
"content": "no just >0",
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"id": 953041217225097200,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:25:32",
"content": "0 isnt a natural number",
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"id": 953041330924290200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:25:59",
"content": "I see, so 0 isn’t in your version",
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:26:13",
"content": "wdym my version?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:26:42",
"content": "Wrong, k>=-57",
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"id": 953041640333914200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:27:13",
"content": "k>-57,1428… right? So k>=-57",
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"id": 953041758189649900,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:27:41",
"content": "oh yes correct, i tought that it was -7k my bad",
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"id": 953041798228504600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:27:51",
"content": "So -57,-56,-55",
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},
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"id": 953041800115933200,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:27:51",
"content": "so that it would be negative",
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{
"id": 953041826108027000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:27:58",
"content": "Yeah negative",
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{
"id": 953041911151743000,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:28:18",
"content": "thanks",
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},
{
"id": 953042495590240300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:30:37",
"content": "Np",
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"id": 953043166850842600,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:33:17",
"content": "could you also help me with this (4x+10y)(8x+7y)=86, i have no idea how to do it",
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"id": 953043264217419900,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:33:40",
"content": "i can only think of writing 86 as a product of whole numbers",
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{
"id": 953043397789253600,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:34:12",
"content": "but thats too much work, there has to be a \"smarter\" way to do it",
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"id": 953044383190638600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:38:07",
"content": "Thought the same",
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{
"id": 953044604658266200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:39:00",
"content": "But don’t worry for each linear system there will be only one solution (x,y)",
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},
{
"id": 953044710941941800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:39:25",
"content": "Because \n(4 10\n 8 7) \nis invertible",
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{
"id": 953044797747236900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:39:46",
"content": "But yeah.,, still so much work😂",
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"id": 953045439136010400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 17:42:19",
"content": "So 4 solutions",
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"id": 953046730297999400,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:47:27",
"content": "i solved it, you get 8 systems of equations but since its a diophantine equation only 2 valid solutions, rest arent integers",
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"id": 953046881863336000,
"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:48:03",
"content": "",
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"author_id": 403868346455556100,
"author_name": "ChuFta",
"timestamp": "03/14/2022 17:48:05",
"content": "i wrote it in paint",
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"id": 953050667084283900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 18:03:05",
"content": "@ChuFta Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 18:03:44",
"content": "Channel closed",
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}
] | help-10 | 638ebe68a32a4d3e9eb8221005250368 |
1,251 | [
{
"id": 953051083532546000,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 18:04:45",
"content": "Available help channel!",
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"id": 953055458845917200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 18:22:08",
"content": "Pinned a message.",
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"id": 953056643971706900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:26:50",
"content": "You know sum of C(n,k) k from 0 to n is 2^n right?",
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"id": 953056729409675400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:27:11",
"content": "The first equation, the left hand side, is half of the total sum",
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"id": 953056771264626800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:27:21",
"content": "2) is trivially just solve it",
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"id": 953057646687187000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:30:49",
"content": "No",
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},
{
"id": 953057663330189300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:30:53",
"content": "2^26",
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},
{
"id": 953057772948295700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:31:20",
"content": "(1+x)^n=ΣC(n,k)x^k we just let x=1",
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"id": 953058281222459500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:33:21",
"content": "Yeah",
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"id": 953061579115598000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:46:27",
"content": "Just by definition I think, it holds for any c actually",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:51:46",
"content": "d>=x^2+42-c right",
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"id": 953063026171453400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:52:12",
"content": "You can always find such d, no matter what x and c are",
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"id": 953063988726480900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:56:01",
"content": "Make d larger than the right hand side",
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"id": 953063993436696600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 18:56:03",
"content": "Yeah",
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},
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"id": 953065338570960900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/14/2022 19:01:23",
"content": "👍",
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 19:01:46",
"content": "Channel closed",
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}
] | help-10 | 28f1be460e6440f89794a268c828eb48 |
1,252 | [
{
"id": 953075131855556600,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 19:40:18",
"content": "Available help channel!",
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},
{
"id": 953075936939610100,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:43:30",
"content": "Just wanted to check my method and answer",
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"content": "Pinned a message.",
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"id": 953075998625251300,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:43:45",
"content": "I've calculated the perpendicular distance to be 4sin(3) x 80N",
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"id": 953076080653254700,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:44:04",
"content": "and the other force should just be x100N",
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{
"id": 953076145174233200,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:44:20",
"content": "and equating the two together",
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"id": 953076162903568400,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:44:24",
"content": "I have x = 1.6",
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"id": 953076283632386200,
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:44:53",
"content": "am I missing something?, and also which distance have I just calculated?, the distance from wall to x or from x to the point at the end of the rod",
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"id": 953076936349990900,
"author_id": 268789506663120900,
"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 19:47:28",
"content": "seems to simple to be true 🚟",
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"timestamp": "03/14/2022 19:52:10",
"content": "Perpendicular distance? Perpendicular to what?",
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"timestamp": "03/14/2022 19:52:19",
"content": "There's an N in your distance",
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"timestamp": "03/14/2022 19:56:11",
"content": "You are confused about whether your equation represents a force, or a distance. 4sin(30) is the height of the wall section, why are we multiplying that by 80N?",
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"author_name": "Kaynex",
"timestamp": "03/14/2022 19:57:17",
"content": "Wait, no it isn't even that. What is 4sin(30) here?",
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"timestamp": "03/14/2022 19:58:16",
"content": "Make sure to draw an FBD and split it into components",
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"timestamp": "03/14/2022 20:03:16",
"content": "@verιғιed 𝓒𝓸м𝓫Ø Has your question been resolved?",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:04:01",
"content": "Sorry should have clarified",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:04:37",
"content": "The moment of the tension force is perpendicular distance x force",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:04:53",
"content": "Distance is 4sin(30) and force is 80N",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:05:53",
"content": "The 4sin(30) is also the perpendicular distance if you make another triangle",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:06:02",
"content": "Sorry im on phone but I'll try to draw it",
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"timestamp": "03/14/2022 20:06:46",
"content": "",
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"timestamp": "03/14/2022 20:08:35",
"content": "That blue line is 4sin(30) indeed",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:08:41",
"content": "Mhm",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:08:55",
"content": "Aka, the perpendicular distance to the tension",
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"timestamp": "03/14/2022 20:18:32",
"content": "Why is that important?",
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"author_name": "Kaynex",
"timestamp": "03/14/2022 20:19:49",
"content": "Seeing as gravity acts directly downward, I don't see what you gain from picking a weird frame of reference",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:21:39",
"content": "Its about the tension... When I'm resolving forces tension acts anti clockwise while gravity acts clockwise",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:21:51",
"content": "And it says they are in equilibrium",
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"author_name": "verιғιed 𝓒𝓸м𝓫Ø",
"timestamp": "03/14/2022 20:22:24",
"content": "How would you solve it?",
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"timestamp": "03/14/2022 20:30:43",
"content": "There's forces holding up the left and right side of the rod. Having the tension of the cable is enough to get the force on the right using an FBD. Then check the moment at the left side.",
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"timestamp": "03/14/2022 20:52:25",
"content": "@verιғιed 𝓒𝓸м𝓫Ø Has your question been resolved?",
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"timestamp": "03/14/2022 21:22:25",
"content": "Channel closed",
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] | help-10 | c5be3166bd4246d2a5b9469e1ff60802 |
1,253 | [
{
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"timestamp": "03/14/2022 21:23:25",
"content": "Available help channel!",
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{
"id": 953102455187591200,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 21:28:53",
"content": "suppose you have n dice. every time you roll all of them, you remove every die that shows a 6. for example, if 2 show up as 6s, you remove them and then roll n-2 dice, etc. (the original problem was with 25 dice)\nwhat is the probability that it will take N rolls to eliminate all the dice?",
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"timestamp": "03/14/2022 21:28:53",
"content": "Pinned a message.",
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"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 21:43:47",
"content": "i started by just looking at n=2 but i wasnt able to figure out a pattern",
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"id": 953106728382255100,
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"author_name": "demaw",
"timestamp": "03/14/2022 21:45:51",
"content": "well maybe the first step to solving this problem could be observing each individual probability in the first trial/roll.\nlet's say you roll all N dice, with an even 1/6 chance of rolling a six for each individual die. Then the probability of rolling x sixes is equal to the binomial pdf of x, given that p=1/6 and n=N",
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"id": 953107300468535300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 21:48:08",
"content": "in the second trial, the probability of rolling x sixes is equal to the binomial pdf of x, given that p=1/6 and n= the amount of dice remaining from the first trial",
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"id": 953107875583127600,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 21:50:25",
"content": "i can't think of where to go from here though; my method might lead to nowhere. i'm thinking about it",
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"timestamp": "03/14/2022 21:58:47",
"content": "@nix Has your question been resolved?",
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"id": 953111124612620400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:03:20",
"content": "it's that thing where you go in circles",
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"id": 953111149866541000,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:03:26",
"content": "?",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:03:39",
"content": "what if n = 1",
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"id": 953111315776438300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:04:05",
"content": "then P=1-(5/6)^N), where N is the amount of trials/rolls",
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"id": 953111487453491200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:04:46",
"content": "but what is the probability",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:04:49",
"content": "N = 10, n = 1",
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"id": 953111538061951000,
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"author_name": "demaw",
"timestamp": "03/14/2022 22:04:58",
"content": "yea sorry for the confusing variables im tired",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:05:26",
"content": "it's 5/6 × [same problem with N = 9]",
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"id": 953111659814195200,
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"author_name": "demaw",
"timestamp": "03/14/2022 22:05:27",
"content": "probability is equal to 1-(5/6)^N, N rolls for n=1 die",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:06:30",
"content": "we're probably not seeing the same problem",
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"id": 953111944930410600,
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"author_name": "demaw",
"timestamp": "03/14/2022 22:06:35",
"content": "how so",
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"id": 953112126296301600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:07:18",
"content": "you did something like N or less",
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"id": 953112141416784000,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:07:22",
"content": "or maybe N or more",
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"id": 953112168323223600,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:07:28",
"content": "i read exactly N",
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"timestamp": "03/14/2022 22:07:59",
"content": "are you saying i'm thinking about a cumulative probability?",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:08:11",
"content": "not really",
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{
"id": 953112367267450900,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:08:16",
"content": "i don't know",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:09:33",
"content": "1-(5/6)^N is not(die lives for N rolls)",
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"id": 953112708138549200,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:09:37",
"content": "so N or less",
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"id": 953112713771483300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:09:38",
"content": "For one die, P(rolling a six in N rolls) = 1-(5/6)^N, correct?",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:09:58",
"content": "yes",
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"id": 953112797854695400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:09:58",
"content": "it's a branching process except no branching",
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"id": 953112810064322600,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:10:01",
"content": "that's N or less",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:10:08",
"content": "gimme a sec, this is semi-advanced probability theory",
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"timestamp": "03/14/2022 22:10:14",
"content": "yeah",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:10:37",
"content": "it is a difficult problem but i believe it can probably be solved with simple probability math",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:10:41",
"content": "nope",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:10:54",
"content": "hopes=crushed",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:10:57",
"content": "it's a branching process, you want to bring in the heavyweight stuff, gimme a sec",
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"timestamp": "03/14/2022 22:10:59",
"content": "you;re answering a different question",
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"id": 953113151979794400,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:11:23",
"content": "it asks not more and not less than N",
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"id": 953113207327817700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:11:36",
"content": "and you're only doing not more",
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"id": 953113248536883200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:11:46",
"content": "well",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:11:50",
"content": "hmm",
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"id": 953113453718020100,
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"author_name": "demaw",
"timestamp": "03/14/2022 22:12:35",
"content": "you're right, i'm doing it cumulatively when it should probably be considered individually",
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"id": 953113507602260100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:12:48",
"content": "wait i'm a fool",
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"id": 953113543773941800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:12:56",
"content": "yeah it's simple enough that you can do it with basic prob",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:12:58",
"content": "ok so",
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"id": 953113564917399700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:13:01",
"content": "oh?",
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"timestamp": "03/14/2022 22:14:29",
"content": "probability that it lives through 24 rolls is (5/6)^24\nprobability that it dies on the 25th roll is 1/6\nso probability that it survives 24 rolls but dies on the 25th is just gonna be (1/6) * (5/6)^24",
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"id": 953114001447977000,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:14:45",
"content": "ok",
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"id": 953114015775739900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:14:49",
"content": "that's 1 die",
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{
"id": 953114019508654100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:14:50",
"content": "we know that at least one is like this",
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{
"id": 953114050940796900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:14:57",
"content": "tru",
"attachments": [],
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{
"id": 953114072780517400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:15:02",
"content": "the rest can be anything, they can live to 25 or less",
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"id": 953114146461847700,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:15:20",
"content": "ok so really we want the probability that none live to 26",
"attachments": [],
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{
"id": 953114204729127000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:15:34",
"content": "minus the probability that none live to 25",
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},
{
"id": 953114238652674200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:15:42",
"content": "damn",
"attachments": [],
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},
{
"id": 953114287889612800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:15:54",
"content": "💯",
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},
{
"id": 953114314099789800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:16:00",
"content": "no i'm erratic",
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{
"id": 953114323130151000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:16:02",
"content": "i'm changing it up",
"attachments": [],
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},
{
"id": 953114345154416600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:16:07",
"content": "this is not what i was originally saying",
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{
"id": 953114358563602400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:16:11",
"content": "i'm starting over",
"attachments": [],
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{
"id": 953114551518363600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:16:57",
"content": "probability that none live to 26 is (1 - P)^n",
"attachments": [],
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},
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"id": 953114618472054800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:17:13",
"content": "where n is the number of dice, P is the probability that any single one makes it to 26",
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"id": 953114648289345500,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:17:20",
"content": "P is (5/6)^26",
"attachments": [],
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"id": 953114803390529500,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:17:57",
"content": "so it's (1 - (5/6)^26)^n",
"attachments": [],
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:18:04",
"content": "then the probability that none live to 25 is just",
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"id": 953114857580933200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:18:10",
"content": "(1 - (5/6)^25)^n",
"attachments": [],
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},
{
"id": 953114953294971000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:18:32",
"content": "so the probability that at least one lives to 25 is 1 - (1 - (5/6)^25)^n",
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},
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"id": 953115037449482200,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:18:52",
"content": "wait, bugger",
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"id": 953115050581848200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:18:56",
"content": "conditionals",
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"id": 953115097021173900,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:19:07",
"content": "end me",
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"id": 953115304328839200,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:19:56",
"content": "this is killing me",
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"id": 953115617962119300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:21:11",
"content": "so the probability that it ends after N trials is equal to (1-(5/6)^N)-(1-(5/6)^(N-1)) or is that not true",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:21:47",
"content": "ok it's fine",
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"id": 953115849491886200,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:22:06",
"content": "have you solved the problem o great statistical problabilical genius",
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{
"id": 953115878550020100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:22:13",
"content": "the probability that none make it to 26 is (1 - (5/6)^26)^n",
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{
"id": 953115935596773400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:22:27",
"content": "the probability that at least one lives to 25 is 1 - (1 - (5/6)^25)^n",
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"id": 953116023765237800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:22:48",
"content": "and you can do it for every number",
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{
"id": 953116033529573400,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:22:50",
"content": "so the probability that at least one makes it to 25 but none make it to 26 is the second minus the first",
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"id": 953116042723467400,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:22:52",
"content": "substitute 26 for N and 25 for N-1 so that we can get a true representation of the variables initially presented in the problem",
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"id": 953116048373194900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:22:53",
"content": "and kill them off at the last moment",
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{
"id": 953116073077653600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:22:59",
"content": "1 - (1 - (5/6)^25)^n - (1 - (5/6)^26)^n",
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},
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"id": 953116125372248200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:23:12",
"content": "final answer",
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"id": 953116239717339100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:23:39",
"content": "maybe",
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{
"id": 953116337532710900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:24:02",
"content": "it rings tru",
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{
"id": 953116351025795100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:24:06",
"content": "no",
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"id": 953116358068039700,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:24:07",
"content": "maybe",
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},
{
"id": 953116358617497600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:24:07",
"content": "it's gibberish",
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"id": 953116366729277600,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:24:09",
"content": "yea",
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{
"id": 953116374182543400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:24:11",
"content": "there's no way it rings true",
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},
{
"id": 953116379656110100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:24:12",
"content": "it's madness",
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"id": 953116381379973100,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:24:13",
"content": "i put it in desmos",
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{
"id": 953116392830410800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:24:16",
"content": "it's too complicated",
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"id": 953116397892960300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:24:17",
"content": "it fucking sucks",
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"id": 953116451546464300,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:24:30",
"content": "how is this problem so difficult",
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"id": 953117448910045200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:28:27",
"content": "(1 - (5/6)^26)^n − (1 - (5/6)^25)^n",
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{
"id": 953117492182646900,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:28:38",
"content": "just an extra 1 -",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:28:55",
"content": "all die minus all die too early",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:29:34",
"content": "P(A) = P(a single one reaches 25) = (5/6)^25\nP(B) = P(a single one reaches 26) = (5/6)^26\n\nP(C) = P(none of the n dice reach 25) = (1 - P(A))^n\nP(D) = P(none of the n dice reach 26) = (1 - P(B))^n\n\n||P(C' and D) = P(at least one die reaches 25 but none reach 26) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^n - (1 - P(A))^n = (1 - (5/6)^26)^n - (1 - (5/6)^25)^n",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:29:39",
"content": "ok done",
"attachments": [],
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{
"id": 953117776455798800,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:29:45",
"content": "that looks more reasonable now",
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"id": 953117920739864600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:30:20",
"content": "but 26 should be before",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:30:37",
"content": "why",
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{
"id": 953118024179802100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:30:45",
"content": "oh no yeah",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:30:45",
"content": "oh",
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"id": 953118036997570700,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:30:48",
"content": "i goofed it",
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"id": 953118126365605900,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:31:09",
"content": "other than that, though, would it be correct",
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"timestamp": "03/14/2022 22:31:37",
"content": "ok fixed",
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"id": 953118334449221800,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:31:59",
"content": "wait",
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"timestamp": "03/14/2022 22:32:03",
"content": "ok so 26 > 25",
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"id": 953118409372094500,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:32:16",
"content": "so (5/6)^26 < (5/6)^25",
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"id": 953118469677789200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:32:31",
"content": "so 1 - (5/6)^26 > 1 - (5/6)^25",
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"id": 953118506583462000,
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:32:40",
"content": "no, that's larger",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:32:43",
"content": "fixed already",
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"id": 953118573520379900,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:32:56",
"content": "so (1 - (5/6)^26)^n > (1 - (5/6)^25)^n",
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"id": 953118599965475000,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:33:02",
"content": "so (1 - (5/6)^26)^n - (1 - (5/6)^25)^n > 0",
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"id": 953118619313778700,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:33:06",
"content": "which is what we want to see",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:33:08",
"content": "done",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:33:19",
"content": "yea i believe that would be the correct solution",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:34:14",
"content": "considering the integral of f(n) on the interval zero to infinity would obviously be equal to one i don't see anything wrong with these numbers",
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"timestamp": "03/14/2022 22:34:51",
"content": "awesome",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:36:20",
"content": "finally i can rest in peace knowing the answer to a silly little probability problem",
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"timestamp": "03/14/2022 22:36:55",
"content": "does this satisfy the answer you needed?",
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"id": 953120924868157400,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:42:16",
"content": "still trying to understand what was done",
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"id": 953121377693618200,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:44:04",
"content": "so it sort of looks like instead of viewing it as one big system, we look at each die individually since each roll is independent.",
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"author_name": "nix",
"timestamp": "03/14/2022 22:45:43",
"content": "im a bit confused here though. the original problem was starting with 25 dice (a particular case of n=25 dice), and seeing if it takes N rolls to eliminate all of them, but it looks like this is solving for n dice and 25 rolls.",
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"id": 953122166583492600,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:47:12",
"content": "am i the biggest fool in existence",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:47:14",
"content": "sorry",
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"id": 953122187504664600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:47:17",
"content": "i'm sleep deprived",
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"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:48:36",
"content": "P(A) = P(a single one reaches n) = (5/6)^n\nP(B) = P(a single one reaches n+1) = (5/6)^(n+1)\n\nP(C) = P(none of the 25 dice reach n) = (1 - P(A))^25\nP(D) = P(none of the 25 dice reach n+1) = (1 - P(B))^25\n\nP(C' and D) = P(at least one die reaches 25 but none reach 26) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (1 - P(A))^25 = (1 - (5/6)^(n+1))^25 - (1 - (5/6)^n)^25",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:48:43",
"content": "swapped everything around",
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"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:49:32",
"content": "im guessing it should be N instead of n here?",
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"timestamp": "03/14/2022 22:49:45",
"content": "arent we all",
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:49:47",
"content": "sure whatever",
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"author_name": "demaw",
"timestamp": "03/14/2022 22:50:25",
"content": "yea in place of n, they use 25 and 26 to represent the probability at n=26",
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"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:50:50",
"content": "yeah",
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"author_name": "nix",
"timestamp": "03/14/2022 22:50:52",
"content": "P(A) = P(a single one reaches N) = (5/6)^N\nP(B) = P(a single one reaches N+1) = (5/6)^(N+1)\n\nP(C) = P(none of the 25 dice reach N) = (1 - P(A))^25\nP(D) = P(none of the 25 dice reach N+1) = (1 - P(B))^25\n\nP(C' and D) = P(at least one die reaches N but none reach N+1) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (1 - P(A))^25 = (1 - (5/6)^(N+1))^25 - (1 - (5/6)^N)^25",
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"id": 953123139129311200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:04",
"content": "same difference",
"attachments": [],
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{
"id": 953123158666391600,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:51:09",
"content": "just making sure",
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"id": 953123192065646600,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:51:17",
"content": "also wouldnt you want to use (n-1) and (n) instead of (n) and (n+1), respectively?",
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"id": 953123251830263800,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:31",
"content": "no",
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{
"id": 953123282712948900,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:38",
"content": "we want it to reach n but not n+1",
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},
{
"id": 953123306637254700,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:44",
"content": "n-1 is irrelevant?",
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{
"id": 953123328888012800,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:49",
"content": "wait",
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{
"id": 953123353055621100,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:51:55",
"content": "fuck",
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{
"id": 953123353588293600,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:51:55",
"content": "oh never mind we have a different interpretation of what n means",
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},
{
"id": 953123388770103300,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:52:04",
"content": "wait is that last line actually correct?",
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},
{
"id": 953123388967256000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:52:04",
"content": "no i think you're right",
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"id": 953123488250626000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:52:27",
"content": "wouldn't you do minus 1?",
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"id": 953123503681454200,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:52:31",
"content": "oh i copypasted something without changing it",
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},
{
"id": 953123510463639700,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:52:33",
"content": "n is the amount of rolls where there are no more dice",
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"id": 953123518894182400,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:52:35",
"content": "ok lemme rego",
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},
{
"id": 953123730614284300,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:53:25",
"content": "P(A) = P(a single one reaches n-1) = (5/6)^(n-1)\nP(B) = P(a single one reaches n) = (5/6)^n\n\nP(C) = P(none of the 25 dice reach n-1) = (1 - P(A))^25\nP(D) = P(none of the 25 dice reach n) = (1 - P(B))^25\n\nP(C' and D) = P(at least one die reaches n-1 but none reach n) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (1 - P(A))^25 = (1 - (5/6)^n)^25 - (1 - (5/6)^(n-1))^25",
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},
{
"id": 953123747613782000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:53:29",
"content": "_ _\nthird time lucky",
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},
{
"id": 953124097833971700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:54:53",
"content": "(5/6)^N → a die lives for N rolls\n1 - (5/6)^N → a die dies at some point before N+1\n(1 - (5/6)^N)^25 → they all die before N+1\n\n(1 - (5/6)^(N-1))^25 → they all die before N",
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{
"id": 953124212174897200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "03/14/2022 22:55:20",
"content": "you want them all to die before N+1 but not too early",
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"id": 953124569428922500,
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"author_name": "nix",
"timestamp": "03/14/2022 22:56:45",
"content": "okay that makes a lot of sense actually",
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"id": 953124767991480300,
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"author_name": "demaw",
"timestamp": "03/14/2022 22:57:32",
"content": "yea im pretty sure this is correct. like 95% sure",
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{
"id": 953124878343635000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:57:59",
"content": "the amount of time it took me to do that",
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},
{
"id": 953124918629900300,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 22:58:08",
"content": "i am unfit for any task beyond making simple gruel",
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},
{
"id": 953125176265044000,
"author_id": 766866943566938100,
"author_name": "demaw",
"timestamp": "03/14/2022 22:59:10",
"content": "well look on the positive side. you can feel satisfied now that you've synthesized a coherent and logical answer to the problem you've been analyzing for about half an hour at least",
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{
"id": 953125189569359900,
"author_id": 239341577242148860,
"author_name": "Toru",
"timestamp": "03/14/2022 22:59:13",
"content": "is this a geometric distribution?",
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},
{
"id": 953125360415965200,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:59:54",
"content": "its been a few months since i took probability so i need to check",
"attachments": [],
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{
"id": 953125374928240600,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 22:59:57",
"content": "but i think so",
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{
"id": 953125409745174700,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:00:05",
"content": "surely not",
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{
"id": 953125443614179500,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:00:13",
"content": "close to at least",
"attachments": [],
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},
{
"id": 953125506138665000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:00:28",
"content": "it's the difference between geometric distributions",
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{
"id": 953125556348670000,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:00:40",
"content": "the difference between n and n-1",
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{
"id": 953125630583636000,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:00:58",
"content": "i was kinda of thinking a geometric distribution might come up here since it deals with how many failures before a success",
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"id": 953125653488750600,
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"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:04",
"content": "wait, no",
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{
"id": 953125668676329500,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:07",
"content": "i'm blind",
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},
{
"id": 953125681372483600,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:10",
"content": "it's not",
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{
"id": 953125727908294700,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:21",
"content": "for each individual die it's clearly geometric",
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"id": 953125735915200500,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:23",
"content": "overall, no",
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"id": 953125747751534700,
"author_id": 209767680100663300,
"author_name": "Kaisheng21",
"timestamp": "03/14/2022 23:01:26",
"content": "more complicated",
"attachments": [],
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{
"id": 953125748292608000,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:01:26",
"content": "yeah",
"attachments": [],
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},
{
"id": 953125789447127000,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:01:36",
"content": "thats what i meant",
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"id": 953125812813586400,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:01:41",
"content": "alrighty neat",
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"id": 953125853057941500,
"author_id": 196803594576592900,
"author_name": "nix",
"timestamp": "03/14/2022 23:01:51",
"content": "thank you guys so much for the help. that was a doozy to be sure.",
"attachments": [],
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{
"id": 953125915049754600,
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"timestamp": "03/14/2022 23:02:06",
"content": ".close",
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{
"id": 953125916949766100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 23:02:06",
"content": "Channel closed",
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}
] | help-10 | ee448639576c4143891f4790ad67b2df |
1,254 | [
{
"id": 953126169593643000,
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"author_name": "Mathematics Bot",
"timestamp": "03/14/2022 23:03:07",
"content": "Available help channel!",
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},
{
"id": 953126285452914700,
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"author_name": "not_just_Ali",
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"timestamp": "03/14/2022 23:03:35",
"content": "Pinned a message.",
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"timestamp": "03/14/2022 23:03:42",
"content": "",
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"author_id": 801553676761563100,
"author_name": "not_just_Ali",
"timestamp": "03/14/2022 23:04:00",
"content": "Is the homework program wrong?",
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},
{
"id": 953126436112326700,
"author_id": 801553676761563100,
"author_name": "not_just_Ali",
"timestamp": "03/14/2022 23:04:10",
"content": "I've even tried getting it with the LCD",
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},
{
"id": 953128133429702700,
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"timestamp": "03/14/2022 23:10:55",
"content": "it's 3",
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"timestamp": "03/14/2022 23:11:08",
"content": "oh it says that",
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"timestamp": "03/14/2022 23:14:01",
"content": "",
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"timestamp": "03/14/2022 23:18:55",
"content": "U crossed multiply",
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"content": "ahhhhhh ok gotcha thank you very much!",
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"content": ".close",
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] | help-10 | 2ece8a1a0b354b51a0d4198d7db5ed15 |
1,255 | [
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"content": "Can anyone help me to show this?",
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"content": "I checked in the Wikipedia, they used the young’s inequality",
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"content": "But I didn’t learn that in my courses",
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"content": "Is there any ways to start the proof?",
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"content": "Originally I want to try the mathematical induction",
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"content": "But since it is not proving for integers only, so I am not sure about that",
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"content": "Can I just use basic knowledge of vectors and Cauchy Schwartz inequality to prove it?",
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"content": "Can be done with Jensen’s also",
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"content": "Umm sorry I didn’t learnt that as well",
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"content": "Can I develop the inequality only by Cauchy?",
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"content": "I know it is quite impossible since Cauchy is the special case of holder",
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"content": "Uh",
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"timestamp": "03/15/2022 02:48:00",
"content": "Sounds weird you are asked to prove it then to me",
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"timestamp": "03/15/2022 02:48:07",
"content": "https://www.emis.de/journals/JIPAM/images/299_05_JIPAM/299_05.pdf",
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"timestamp": "03/15/2022 02:48:31",
"content": "Claims to only use CS (haven’t checked its valid)",
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"timestamp": "03/15/2022 02:51:55",
"content": "Umm sorry for the confusion, but when I search in the web, I always find the integration version of the Holder’s inequality",
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"timestamp": "03/15/2022 02:52:15",
"content": "And idk how to proceed",
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"content": "Sums are just integrals",
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"timestamp": "03/15/2022 02:54:51",
"content": "Oh",
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"timestamp": "03/15/2022 02:55:08",
"content": "So they use the integral sign to replace the sigma",
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"content": "Seems we have to use Jensen’s anyway",
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"content": "Ok thanks for your help, I will try",
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"content": ".close",
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"content": "Channel closed",
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] | help-10 | c5492c749864446b9c119e2d2c37579a |
1,256 | [
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"timestamp": "03/15/2022 03:02:07",
"content": "partial decompisition",
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"content": "um",
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"author_name": "oofboi",
"timestamp": "03/15/2022 03:02:36",
"content": "this isnt for me",
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"id": 953186506997137400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/15/2022 03:02:52",
"content": "what",
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"id": 953186521551347700,
"author_id": 490510814311088100,
"author_name": "oofboi",
"timestamp": "03/15/2022 03:02:56",
"content": "my friends been stuck on this question for awhile",
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"author_name": "a disappointing son",
"timestamp": "03/15/2022 03:03:06",
"content": "tell your friend to google partial fraction decomposition",
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"content": "ok",
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"timestamp": "03/15/2022 03:03:52",
"content": "thanks",
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"content": ".close",
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"content": "Channel closed",
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] | help-10 | 5fa496b854674b6fb5d89b0e882d4544 |
1,257 | [
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"content": "Available help channel!",
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"author_name": "aurilisdev",
"timestamp": "03/15/2022 03:16:19",
"content": "would i substitute x = au, y=bv, z=cw. Get boundaries for z between -1 and 1. Get the first jacobian to be abc",
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"id": 953189918555930800,
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"timestamp": "03/15/2022 03:16:25",
"content": "then substitute further into polar",
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"id": 953189947496628200,
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"author_name": "aurilisdev",
"timestamp": "03/15/2022 03:16:32",
"content": "and get another boundary",
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"id": 953189963246211100,
"author_id": 177882066451562500,
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"timestamp": "03/15/2022 03:16:36",
"content": "0 to sqrt(1+w^2) for w",
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"timestamp": "03/15/2022 03:16:52",
"content": "and 0 to 2pi for theta",
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"timestamp": "03/15/2022 03:31:53",
"content": "@aurilisdev Has your question been resolved?",
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] | help-10 | 2f51bcb660264adba3bf6b56e0d2cdcf |
1,258 | [
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"content": "Available help channel!",
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"author_name": "Sympho De Proggy",
"timestamp": "11/09/2021 11:03:00",
"content": "Hi!\nso, i defined u=(1,1) v=(1,-1) and u* = (t,-t) as the projection of u on the span\nand i plugged those into the following: ║ u - v ║² =║ u - u* ║² + ║ u* - v ║²\ni was expecting it to simplify to a t value of u* as the projection (specifically expecting t=0), but i can't get there\n\nto be clear\nall norms are p-norms,\ni plugged the norm in and expanded it like so:\n (|u1-v1|^ᵖ+|u2-v2|^ᵖ)^(²/ᵖ) \n\nwhere u=(u1,u2), ( ie the elements of the vectors) and so on for RHS",
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"content": "@Sympho De Proggy Has your question been resolved?",
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"content": "@Helpers",
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"content": "@Helpers",
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"timestamp": "11/09/2021 12:23:21",
"content": "@Helpers",
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"timestamp": "11/09/2021 12:38:32",
"content": "@Helpers",
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"timestamp": "11/09/2021 13:08:33",
"content": "@Sympho De Proggy Has your question been resolved?",
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"content": "@Helpers",
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] | help-10 | a721a0545d8e4168b8cd501b24c1ec28 |
1,259 | [
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"content": "anyone help? how to find Θ",
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"timestamp": "03/15/2022 04:15:39",
"content": "angle formula",
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"content": "which one?",
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"content": "can we like determine the Θ at the 3d cone? not the one that's been deform",
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"content": "@Kimi Has your question been resolved?",
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"content": "@Kimi Has your question been resolved?",
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"content": "theta is defined to be the angle of the sector of the unfolded cone, dunno why you're trying to get it from the 3d form",
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"content": "consider the which parts of the 3d cone correspond to the unfolded cone",
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"content": "@Kimi Has your question been resolved?",
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"content": ".close",
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] | help-10 | 6ec9ddcc7348409393e896f0a0ec05ad |
126 | [
{
"id": 932804574782308400,
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"content": "Available help channel!",
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"id": 932807673483780200,
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"timestamp": "01/17/2022 20:24:40",
"content": "I was wondering how I'd extend this to R3",
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"id": 932807676109418500,
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 20:25:30",
"content": "Spherical coords 🤔",
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},
{
"id": 932807915927130100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 20:25:37",
"content": "https://en.wikipedia.org/wiki/Spherical_coordinate_system",
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"id": 932808015940292600,
"author_id": 321445119171756000,
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"timestamp": "01/17/2022 20:26:01",
"content": "You describe point with magnitude and 2 angles",
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"content": "ah",
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"id": 932808061729509400,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:12",
"content": "uhm",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:13",
"content": "",
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"id": 932808104519802900,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:22",
"content": "Am I expected to use that to solve this question?",
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{
"id": 932808125403254800,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:27",
"content": "(solving for tensions)",
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{
"id": 932808126875447300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 20:26:28",
"content": "Whats the Q",
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"id": 932808154251690000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:34",
"content": "this",
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"id": 932808161461690400,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/17/2022 20:26:36",
"content": "I have doubts you need it",
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"id": 932808227719090200,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:52",
"content": "Ah, okay",
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"id": 932808230265036900,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:26:52",
"content": "hm",
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{
"id": 932808295629094900,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:27:08",
"content": "I can do this when the scenario is flat",
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"id": 932808348150153200,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:27:20",
"content": "but I'm not sure how to translate that into when the situation is 3D",
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"id": 932808724626673700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:28:50",
"content": "Find the x, y, z components of each tension, then equilibrium concept",
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"id": 932808820609122300,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:29:13",
"content": "what is an equilibrium concept(constant)?",
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"id": 932808884924579800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:29:28",
"content": "Sum of forces equals 0",
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},
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"id": 932808926343356400,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:29:38",
"content": "yes*",
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"id": 932808980252741600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:29:51",
"content": "but I'm not sure how to make them so it's like",
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"id": 932809090747490300,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:30:17",
"content": "T1<cos(x), sin(x)> and T2<cos(x), sin(x)> etc.",
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"id": 932809132430479400,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:30:27",
"content": "and this is for x,y only ^",
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"id": 932810043588481000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:34:05",
"content": "Trying to recall how to do it",
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"id": 932810567620628600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:36:10",
"content": "okie, n",
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"id": 932810576814551000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:36:12",
"content": "np*",
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"id": 932810609475588100,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:36:20",
"content": "@ me if u figure it out",
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"id": 932810651636756500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:36:30",
"content": "I'll just be working on other problems for the moment",
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"timestamp": "01/17/2022 20:39:57",
"content": "Find the unit vector of each tension",
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"timestamp": "01/17/2022 20:42:11",
"content": "I figured out what to do",
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"timestamp": "01/17/2022 20:42:27",
"content": "Sorry, yeah, i'm trying that rn",
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"id": 932812525362372600,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:43:56",
"content": "I got them, they are just",
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"content": "",
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"timestamp": "01/17/2022 20:46:02",
"content": "How did you get that as the unit vector?",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:46:11",
"content": "well",
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"id": 932813152549220400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:46:26",
"content": "Let's take T1",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:46:31",
"content": "okay",
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"id": 932813208857759900,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:46:39",
"content": "<5, -5, 5>",
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},
{
"id": 932813261655638000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:46:52",
"content": "so that's 5 < 1, -1, 1>",
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{
"id": 932813295780515800,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:47:00",
"content": "and that vector left over is the unit vector?",
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"id": 932813574139674600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:48:06",
"content": "Not exactly what I was trying to get you to do",
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{
"id": 932813595627110400,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:48:12",
"content": "ahh",
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{
"id": 932813730142625800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:48:44",
"content": "Express each force in Cartesian vector form",
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},
{
"id": 932813754570276900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:48:49",
"content": "Do you know what that means?",
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},
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"id": 932813782378483700,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:48:56",
"content": "using i j and k?",
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"id": 932813815156965400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 20:49:04",
"content": "Yes",
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},
{
"id": 932813834874413000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:49:09",
"content": "ah",
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},
{
"id": 932813854562468000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:49:13",
"content": "5i - 5j + 5k",
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"author_name": "dldh06",
"timestamp": "01/17/2022 20:49:36",
"content": "Not exactly, that's just the distance",
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"id": 932813992190177300,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:49:46",
"content": "uhhhh",
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"content": "I'm confused as to what you're asking 😅",
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"timestamp": "01/17/2022 20:50:10",
"content": "You understand what the unit vector does, right?",
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"timestamp": "01/17/2022 20:50:24",
"content": "It describes the direction as a unit length",
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"content": "It's a mag of 1, meaning if you took some other vector and multiplied it, it doesn't scale it",
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"timestamp": "01/17/2022 20:50:57",
"content": "Right?",
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"timestamp": "01/17/2022 20:51:03",
"content": "Yes",
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"timestamp": "01/17/2022 20:51:39",
"content": "So we what to find the i, j, k form of each T1",
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"timestamp": "01/17/2022 20:51:53",
"content": "I'll walk you through the first one",
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"timestamp": "01/17/2022 20:52:06",
"content": "alright, sure",
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"content": "",
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"timestamp": "01/17/2022 20:53:03",
"content": "Is this it?",
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"timestamp": "01/17/2022 20:53:17",
"content": "Not exactly",
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"timestamp": "01/17/2022 20:53:25",
"content": "that's a sqrt(75) in the denoms",
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"timestamp": "01/17/2022 20:53:27",
"content": "aw rip",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 20:53:38",
"content": "What is that which I did?",
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"timestamp": "01/17/2022 20:53:49",
"content": "That's the unit vector",
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"timestamp": "01/17/2022 20:53:55",
"content": "alright",
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"timestamp": "01/17/2022 20:54:01",
"content": "If you multiply it by T1",
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"timestamp": "01/17/2022 20:54:16",
"content": "Then that's the overall force vector",
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"timestamp": "01/17/2022 20:54:20",
"content": "nice",
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"timestamp": "01/17/2022 20:54:48",
"content": "So T1 time that unit vector, is what you need",
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"timestamp": "01/17/2022 20:55:08",
"content": "Do the same process for all of the other tensions",
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"timestamp": "01/17/2022 20:55:33",
"content": "so that calculation I did, that's correct so far then",
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"timestamp": "01/17/2022 20:55:39",
"content": "Yes",
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"timestamp": "01/17/2022 20:55:39",
"content": "I just repeat it",
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"timestamp": "01/17/2022 20:55:41",
"content": "alright",
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"timestamp": "01/17/2022 20:55:42",
"content": "Yep",
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"timestamp": "01/17/2022 20:55:44",
"content": "I have all the others then",
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"timestamp": "01/17/2022 20:56:13",
"content": "It's just variations of this one",
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"timestamp": "01/17/2022 20:56:56",
"content": "So for T1, it's $T1\\left[\\frac{5 \\hat{i} - 5 \\hat{j} + 5 \\hat{k}}{\\sqrt{75}}\\right]$",
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"timestamp": "01/17/2022 20:57:15",
"content": "**dldh06**",
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"timestamp": "01/17/2022 20:57:18",
"content": "yes",
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"timestamp": "01/17/2022 20:57:43",
"content": "So that's T1 in i, j, k form",
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"timestamp": "01/17/2022 20:57:58",
"content": "Is this what normal vectors are?",
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"timestamp": "01/17/2022 20:58:02",
"content": "Yes",
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"timestamp": "01/17/2022 20:58:07",
"content": "I think",
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"timestamp": "01/17/2022 20:58:28",
"content": "Okie",
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"timestamp": "01/17/2022 20:58:41",
"content": "anyways, we have our Force for the first tension",
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"timestamp": "01/17/2022 20:58:44",
"content": "and also the other 3",
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"timestamp": "01/17/2022 20:59:11",
"content": "when we sum these, they're equal to the force of gravity (since they need to cancel each other out)?",
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"timestamp": "01/17/2022 20:59:26",
"content": "So, if you rewrite it, it's 0.577T1 i - 0.577T1 j + 0.577T1 k",
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"timestamp": "01/17/2022 20:59:30",
"content": "Right?",
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"timestamp": "01/17/2022 20:59:39",
"content": "that's..",
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"timestamp": "01/17/2022 20:59:58",
"content": "I just expanded this",
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"timestamp": "01/17/2022 21:00:14",
"content": "I'd prefer leaving it as $\\frac{5}{\\sqrt{75}}\\hat{i}...$",
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"timestamp": "01/17/2022 21:00:17",
"content": "**Jukelyn**",
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"timestamp": "01/17/2022 21:00:25",
"content": "That works too",
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"timestamp": "01/17/2022 21:00:28",
"content": "yesh",
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"timestamp": "01/17/2022 21:01:01",
"content": "in any case, we have these unit vectors which lets us construct a representation of the forces of tension",
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"timestamp": "01/17/2022 21:01:10",
"content": "Yes",
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"timestamp": "01/17/2022 21:01:32",
"content": "So, as stated, sum of forces equals 0",
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"timestamp": "01/17/2022 21:01:43",
"content": "now we would add all 4 of them and that should be equal to the force of gravity?",
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"timestamp": "01/17/2022 21:01:52",
"content": "or rather, I guess it depends on the POV",
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"timestamp": "01/17/2022 21:02:06",
"content": "So T1 + T2 + T3 + T4 - 150(9.81) = 0",
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"timestamp": "01/17/2022 21:02:19",
"content": "they sum to 0, but grav is neg so it's 0+ 150 (g) = tensions",
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"timestamp": "01/17/2022 21:02:21",
"content": "yes",
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"timestamp": "01/17/2022 21:02:34",
"content": "wouldn't this lead to a system of 4 equations though?",
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"timestamp": "01/17/2022 21:03:04",
"content": "Sorta",
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"timestamp": "01/17/2022 21:03:46",
"content": "hmm",
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"timestamp": "01/17/2022 21:04:15",
"content": "$T1\\left[\\frac{5}{\\sqrt{75}}\\hat{i} - \\frac{5}{\\sqrt{75}}\\hat{j} + \\frac{5}{\\sqrt{75}}\\hat{k}\\right] + T2 ... - 150(9.81) k = 0$",
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"timestamp": "01/17/2022 21:04:56",
"content": "**dldh06**",
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"timestamp": "01/17/2022 21:04:58",
"content": "why the k at the end?",
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"timestamp": "01/17/2022 21:05:14",
"content": "Because that force is in the k direction",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 21:05:19",
"content": "oh right,",
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"timestamp": "01/17/2022 21:05:21",
"content": "The weight",
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"timestamp": "01/17/2022 21:05:24",
"content": "yes ofc",
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"timestamp": "01/17/2022 21:05:38",
"content": "so, I'm trying to add them but it's getting extremely messy",
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"timestamp": "01/17/2022 21:05:44",
"content": "Now, system of equations for x, y, z directions",
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"timestamp": "01/17/2022 21:05:58",
"content": "is there some kind of fundamental thing I'm missing that can simplify this quite a bit?",
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"timestamp": "01/17/2022 21:06:40",
"content": "Probably, something like the force is all the same since they all have the same unit vector",
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"timestamp": "01/17/2022 21:06:40",
"content": "The more I'm working with vectors, the more I'm realizing that I kinda failed learning about them in-depth",
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"timestamp": "01/17/2022 21:06:47",
"content": "I see",
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"timestamp": "01/17/2022 21:07:09",
"content": "But do you now understand how to do the rest?",
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"timestamp": "01/17/2022 21:07:32",
"content": "Kinda, it's just going to be extremely long",
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"timestamp": "01/17/2022 21:07:47",
"content": "Just a bit",
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"timestamp": "01/17/2022 21:08:52",
"content": "$T1 \\frac{5}{\\sqrt{75}}\\hat{i} + T2 \\frac{5}{\\sqrt{75}}\\hat{i} - T3 \\frac{5}{\\sqrt{75}}\\hat{i} - T4 \\frac{5}{\\sqrt{75}}\\hat{i} = 0$",
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"content": "**dldh06**",
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"content": "I forgot to write the k hat",
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"content": "You're going to have 3 equations, with 4 unknowns",
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"content": "or the RHS",
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"content": "And you just solve for each tension",
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"timestamp": "01/17/2022 21:12:39",
"content": "can i make the assumption that the tensions are equivalent since they're all on the corners of a square?",
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"content": "Do you have the key to check?",
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"content": "Upon submission, it'll tell me if I'm wrong or right",
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"content": "I have 5 submissions",
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"content": "ouch",
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"content": "**Jukelyn**",
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"timestamp": "01/17/2022 21:19:31",
"content": "a message from my instructor",
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"timestamp": "01/17/2022 21:19:50",
"content": "Which means that I perhaps messed up somewhere else above",
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"content": "Looks like it, trying to see where",
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"timestamp": "01/17/2022 21:23:15",
"content": "Just realized, how did you get 2546.11?",
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"content": "**Jukelyn**",
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"timestamp": "01/17/2022 21:25:53",
"content": "If the mag is all the same, what if it was just $\\frac{150 \\cdot 9.81}{4}$?",
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"content": "**dldh06**",
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"timestamp": "01/17/2022 21:26:46",
"content": "Uh",
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"timestamp": "01/17/2022 21:27:06",
"content": "Says it's wrong",
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"timestamp": "01/17/2022 21:27:32",
"content": "That statement also doesn't make sense to me tbh",
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"timestamp": "01/17/2022 21:31:22",
"content": "From my professor:",
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"timestamp": "01/17/2022 21:31:46",
"content": "Ig this is just a geometric representation of what we were doing?",
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"timestamp": "01/17/2022 21:31:49",
"content": "but idk",
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"timestamp": "01/17/2022 21:32:26",
"content": "So obviously, it's going to involve 150(9.81), dividing by 4, and 5/sqrt(75), but I don't recall the proper way",
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"timestamp": "01/17/2022 21:32:34",
"content": "hmm",
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"content": "I think that's just the 2D view of it",
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"timestamp": "01/17/2022 21:35:07",
"content": "mmm, shit",
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"timestamp": "01/17/2022 21:37:06",
"content": "Sorry, I can't be more help",
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"timestamp": "01/17/2022 21:37:18",
"content": "It's alright",
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"timestamp": "01/17/2022 21:43:14",
"content": "@Helpers any input on this stuff ^^^",
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"timestamp": "01/17/2022 21:44:40",
"content": "One sec",
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"timestamp": "01/17/2022 21:44:41",
"content": "Brb",
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"timestamp": "01/17/2022 21:47:13",
"content": "Okii",
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"timestamp": "01/17/2022 21:56:00",
"content": "you alright?",
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"content": "Yeh",
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"timestamp": "01/17/2022 21:56:46",
"content": "I was helping some people",
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"timestamp": "01/17/2022 21:56:49",
"content": "Before i asked",
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"timestamp": "01/17/2022 21:56:58",
"content": "Just was finishing helping them",
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"timestamp": "01/17/2022 21:57:03",
"content": "So what's the question exactly",
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"timestamp": "01/17/2022 21:57:21",
"content": "To find the values for Tension in this scenario:",
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"timestamp": "01/17/2022 21:57:58",
"content": "Oh this is ok",
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"timestamp": "01/17/2022 21:58:59",
"content": "U know where this orange plane will intersect the z axis",
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"content": "@Jukelyn",
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"timestamp": "01/17/2022 22:02:30",
"content": "0,0,0",
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"timestamp": "01/17/2022 22:02:36",
"content": "Nope",
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"content": "(0,0,5)",
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"timestamp": "01/17/2022 22:02:50",
"content": "Z is not zero",
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"timestamp": "01/17/2022 22:05:23",
"content": "Remove all the 4 T1 ,T2 ... T4",
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"timestamp": "01/17/2022 22:05:33",
"content": "In its place put a single T0",
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"timestamp": "01/17/2022 22:05:39",
"content": "What will be the value of T0",
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"timestamp": "01/17/2022 22:05:39",
"content": "yes, true",
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"timestamp": "01/17/2022 22:05:49",
"content": "uh",
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},
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"id": 932833134234435600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:05:50",
"content": "just 5",
"attachments": [],
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},
{
"id": 932833424295747600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:06:59",
"content": "U sure ?",
"attachments": [],
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},
{
"id": 932833514192269300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:07:20",
"content": "T0 will be equal to the weight hanging from the bottom",
"attachments": [],
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},
{
"id": 932833546966544500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:07:28",
"content": "So it wil be 1500 N",
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},
{
"id": 932833599332450300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:07:41",
"content": "I assume g to be 10 here",
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},
{
"id": 932833778840240100,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:08:24",
"content": "alright",
"attachments": [],
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},
{
"id": 932833796615712900,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:08:28",
"content": "that makes sense",
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},
{
"id": 932833879612600400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:08:48",
"content": "Then u just need to show that the tensions are all equal in magnitude",
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},
{
"id": 932833898625388500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:08:52",
"content": "That shouldn't be difficult",
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},
{
"id": 932833902802911200,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:08:53",
"content": "we're given that",
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},
{
"id": 932833944003547100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:09:03",
"content": "Oh lol",
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},
{
"id": 932833978883395600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:09:11",
"content": "Then u get the answer as 15x25",
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},
{
"id": 932833996499468300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:09:15",
"content": "Which is ?",
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},
{
"id": 932834067005722600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:09:32",
"content": "375",
"attachments": [],
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},
{
"id": 932834095778652200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:09:39",
"content": "Yes",
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},
{
"id": 932834127839895600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:09:47",
"content": "Each of those tensions is 375 newton",
"attachments": [],
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},
{
"id": 932834216016756700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:10:08",
"content": "U need to show using slope of the two diagonals of the rectangle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932834270702088200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:10:21",
"content": "That they intersect at (0,0,5)",
"attachments": [],
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"reference": null
},
{
"id": 932834437547327500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:11:01",
"content": "U get it now ?",
"attachments": [],
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"reference": null
},
{
"id": 932834462251774000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:11:07",
"content": "Not slope I mean equation of lines",
"attachments": [],
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},
{
"id": 932834462306271200,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:11:07",
"content": "nope",
"attachments": [],
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},
{
"id": 932834500340236300,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:11:16",
"content": "uh",
"attachments": [],
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},
{
"id": 932834541494747100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:11:25",
"content": "Do u know formula for equation of lines",
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},
{
"id": 932834571240751100,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:11:33",
"content": "ax+by+c=0",
"attachments": [],
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"reference": null
},
{
"id": 932834586499620900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:11:36",
"content": "In 3D",
"attachments": [],
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},
{
"id": 932834597878784000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:11:39",
"content": "nope",
"attachments": [],
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},
{
"id": 932834669945290800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:11:56",
"content": "Oomph",
"attachments": [],
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},
{
"id": 932834724630642800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:12:09",
"content": "I forgot that formula too lmfao",
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},
{
"id": 932834752942178300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:12:16",
"content": "Lemme try",
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},
{
"id": 932834753776844800,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:12:16",
"content": "xd",
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},
{
"id": 932835883143540700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:16:45",
"content": "Man i seriously forgot it",
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},
{
"id": 932836054145302500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:17:26",
"content": "y=mx+b?",
"attachments": [],
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},
{
"id": 932836071014826000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:17:30",
"content": "uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836086693118000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:17:34",
"content": "idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836108268625900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:17:39",
"content": "Not that's for 2D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836264321876100,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:18:16",
"content": "Yeah, no clue",
"attachments": [],
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},
{
"id": 932836345611694200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:18:36",
"content": "But it will intersect at (0,0,5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836357905219700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:18:38",
"content": "We can see that",
"attachments": [],
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},
{
"id": 932836375651291300,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:18:43",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 932836392269119500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:18:47",
"content": "Perhaps someone who knows that formula can help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836434862280700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:18:57",
"content": "No wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836444924444800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:18:59",
"content": "I did it wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836460636303400,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:19:03",
"content": "rip",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932836499077075100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:19:12",
"content": "Just a slight modification",
"attachments": [],
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"reference": null
},
{
"id": 932836512876355600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:19:15",
"content": "Rest is good",
"attachments": [],
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"reference": null
},
{
"id": 932836522934272000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:19:18",
"content": "Upto T0",
"attachments": [],
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},
{
"id": 932836844889047000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:20:35",
"content": "We need to use sin(theta)",
"attachments": [],
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"reference": null
},
{
"id": 932837057699643400,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:21:25",
"content": "okay..",
"attachments": [],
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"reference": null
},
{
"id": 932837777341558800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:24:17",
"content": "Ok finally",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932837790507466900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:24:20",
"content": "This should be it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932837847302553600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:24:34",
"content": "And it uses cos(theta) not sin(theta) my bad",
"attachments": [],
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},
{
"id": 932838735651942500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:28:05",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/932838734423007262/20220118_085747.jpg",
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"id": 932838751883911200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:28:09",
"content": "Finally",
"attachments": [],
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},
{
"id": 932838759093899400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:28:11",
"content": "This is it",
"attachments": [],
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},
{
"id": 932840838378192900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 22:36:27",
"content": "@Jukelyn Has your question been resolved?",
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"id": 932842982187622400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:44:58",
"content": "@Jukelyn hello u there",
"attachments": [],
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},
{
"id": 932843092862697500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:45:24",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932843095136026600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:45:25",
"content": "yeah",
"attachments": [],
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},
{
"id": 932843147162177500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:45:37",
"content": "Did u get it",
"attachments": [],
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},
{
"id": 932843160785268700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:45:40",
"content": "This one is correct",
"attachments": [],
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},
{
"id": 932843481200754700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:46:57",
"content": "Hello ?",
"attachments": [],
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},
{
"id": 932843744229748700,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:48:00",
"content": "it's not right",
"attachments": [],
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},
{
"id": 932843856100212700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:48:26",
"content": "Why",
"attachments": [],
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},
{
"id": 932843876832645100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:48:31",
"content": "What’s the final answer",
"attachments": [],
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},
{
"id": 932843912081596400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:48:40",
"content": "If u know it",
"attachments": [],
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"reference": null
},
{
"id": 932843984697577500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:48:57",
"content": "I dont",
"attachments": [],
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"reference": null
},
{
"id": 932844091849449600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:49:22",
"content": "Bruh",
"attachments": [],
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"reference": null
},
{
"id": 932844110585421800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:49:27",
"content": "Then why is this wrong",
"attachments": [],
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},
{
"id": 932844246833184800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:49:59",
"content": "All the cos components of this T1 , T2 will sum upto T0",
"attachments": [],
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},
{
"id": 932844307679936600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:50:14",
"content": "Idk what to tell you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932844338432573400,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:50:21",
"content": "It simply is not the right answer",
"attachments": [],
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"reference": null
},
{
"id": 932844371961847800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:50:29",
"content": "How do u know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 932844406392885200,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:50:37",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/932844405897969664/unknown.png",
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}
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"id": 932844427364425700,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:50:42",
"content": "bc it says it",
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},
{
"id": 932844455747272700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:50:49",
"content": "Oh",
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},
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"id": 932844619027316900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 22:51:28",
"content": "Channel closed",
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}
] | help-10 | a00d0894dffd4f3a8a384da5966174e6 |
1,260 | [
{
"id": 953232596232466400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 06:06:01",
"content": "Available help channel!",
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},
{
"id": 953232708740448300,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "03/15/2022 06:06:27",
"content": "How do I show $X_{n} \\overset{L^{r}}{\\longrightarrow} X$ and $Y_{n} \\overset{L^{r}}{\\longrightarrow} Y$ implies $X_{n} + Y_{n} \\overset{L^{r}}{\\longrightarrow} X + Y$? I am confused when $0 < r < 1$. For $r\\geq 1$, Minkowski inequality works",
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"content": "Pinned a message.",
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"timestamp": "03/15/2022 06:06:30",
"content": "**pepper**",
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"timestamp": "03/15/2022 06:15:19",
"content": "is the case 0<r<1 even a thing worth talking about",
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"id": 953235234747469800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/15/2022 06:16:30",
"content": "might not even hold true then??",
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"id": 953235371267874800,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "03/15/2022 06:17:02",
"content": "Doesn't seem to be qualified in my homework",
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"id": 953235461793525800,
"author_id": 183668144404037630,
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"timestamp": "03/15/2022 06:17:24",
"content": "might at least be worthwhile to consider convergence towards zero to have less moving parts",
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"timestamp": "03/15/2022 06:32:02",
"content": "@pepper Has your question been resolved?",
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"content": "@pepper Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 06d90061b41f4be791be38dd5b3420c6 |
1,261 | [
{
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"id": 953260342853656700,
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"author_name": "penguin",
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"content": "After reducing the matrix to row ech form and doing the diagonal product, why isnt the determinant -2?",
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"id": 953260424772603900,
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"timestamp": "03/15/2022 07:56:35",
"content": "I dont understand the last step of (-1)^1 * -2 = 2",
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"id": 953260960733343700,
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"author_name": "penguin",
"timestamp": "03/15/2022 07:58:43",
"content": "Why interchange rows? Which rows are being interchanged? and why does it negate the determinant",
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"timestamp": "03/15/2022 08:13:43",
"content": "@penguin Has your question been resolved?",
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"content": "it doesn't matter which rows are interchanged",
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"id": 953271423043010600,
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"timestamp": "03/15/2022 08:40:18",
"content": "you can find out why it negates by doing a trivial example",
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"content": "@penguin Has your question been resolved?",
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"timestamp": "03/15/2022 08:53:19",
"content": "im not following",
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"id": 953274836392739000,
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"timestamp": "03/15/2022 08:53:51",
"content": "take a trivial 2x2 matrix",
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"timestamp": "03/15/2022 08:53:56",
"content": "solve its determinant",
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"id": 953274869938782200,
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"author_name": "Gooaaa",
"timestamp": "03/15/2022 08:53:59",
"content": "then change the rows",
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"id": 953274882072928300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "03/15/2022 08:54:02",
"content": "what do u get",
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"id": 953275406243487700,
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"author_name": "penguin",
"timestamp": "03/15/2022 08:56:07",
"content": "1 2\n3 4\n\n4-6\n6-4\n\nhmm ok makes sense now",
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"id": 953275486073651200,
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"author_name": "penguin",
"timestamp": "03/15/2022 08:56:26",
"content": "but why interchange rows anyways? what does it achieve?",
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"author_name": "Gooaaa",
"timestamp": "03/15/2022 08:57:17",
"content": "I think when making the matrix into diagonal form and taking its det",
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"id": 953275740642750500,
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"author_name": "Gooaaa",
"timestamp": "03/15/2022 08:57:27",
"content": "u have to swap 2 rows then, to get the det of the 'actual' matrix",
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"id": 953279938461581300,
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"timestamp": "03/15/2022 09:14:08",
"content": "alright",
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"author_name": "penguin",
"timestamp": "03/15/2022 09:14:09",
"content": "thanks",
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"id": 953279950230806700,
"author_id": 804151776412041200,
"author_name": "penguin",
"timestamp": "03/15/2022 09:14:11",
"content": ".close",
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"content": "Channel closed",
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] | help-10 | 953530f646e74b6c878ab6d028da2ec4 |
1,262 | [
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"content": "Available help channel!",
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"id": 953281672248430600,
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"author_name": "vi",
"timestamp": "03/15/2022 09:21:01",
"content": "Hi, how to find the cumulative frequency for Q2 and Q1?",
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"content": "Pinned a message.",
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"content": "@vi Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "03/15/2022 10:07:13",
"content": "@vi Has your question been resolved?",
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"timestamp": "03/15/2022 11:30:49",
"content": "@vi Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 2abe659e48ec464abb14e722b7a651fb |
1,263 | [
{
"id": 953334485208948700,
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"timestamp": "03/15/2022 12:50:53",
"content": "Available help channel!",
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},
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"id": 953338164423045200,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:05:30",
"content": "Prove that the diagonal of the 3D parelelogram ( not a native english speaker ) ABCDA1B1C1D1 cuts through the center of the triangle BDA1",
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"content": "Pinned a message.",
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"id": 953338370413699200,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:06:19",
"content": "Hm",
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"id": 953338411622736000,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:06:29",
"content": "Let's see :thonk:",
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"id": 953338567898329200,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:07:06",
"content": "we are working with vectors btw!",
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{
"id": 953338641877434400,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:07:24",
"content": "The triangle inscribed inside is an isosceles triangle",
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},
{
"id": 953338683975692300,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:07:34",
"content": "As far as I can tell because all 3 sides r equal",
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"id": 953338773297573900,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:07:55",
"content": "i just drew the sketch to make it easier for people to visualize",
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"id": 953338775390519300,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:07:56",
"content": "The center of the tringle is also the midpoint",
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"id": 953338832093343700,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:08:09",
"content": "What grade math is this",
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"id": 953338850023973000,
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"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:08:14",
"content": "college math",
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"id": 953338861289885800,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:08:16",
"content": "the incenter",
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"id": 953338863332499500,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:08:17",
"content": "analytical geometry",
"attachments": [],
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},
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"id": 953338888594784300,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:08:23",
"content": "im in middle school",
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"id": 953338921293586400,
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"author_name": "teaa",
"timestamp": "03/15/2022 13:08:31",
"content": "thats way but i'll try to help",
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"id": 953338968223662100,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:08:42",
"content": "i need to prove it tho :thinkies:",
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"id": 953338984749203600,
"author_id": 950539100526616600,
"author_name": "teaa",
"timestamp": "03/15/2022 13:08:46",
"content": "yes",
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"id": 953339027921187000,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:08:56",
"content": "u learn this stuff in middle school?",
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"id": 953339051086340100,
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"author_name": "teaa",
"timestamp": "03/15/2022 13:09:01",
"content": "no",
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"id": 953339110880333800,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:09:16",
"content": "i know what vectors are? :thinkingbread:",
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"id": 953339192132390900,
"author_id": 186791051950817280,
"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:09:35",
"content": "u**",
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"id": 953339223304437800,
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"author_name": "teaa",
"timestamp": "03/15/2022 13:09:43",
"content": "i think you should start by proving its an isosceles triangle",
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"id": 953339292158136300,
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"timestamp": "03/15/2022 13:09:59",
"content": "yes at least i think",
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"id": 953339374798516400,
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"timestamp": "03/15/2022 13:10:19",
"content": "uh",
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"id": 953339597956481000,
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"author_name": "teaa",
"timestamp": "03/15/2022 13:11:12",
"content": "hm",
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"timestamp": "03/15/2022 13:11:23",
"content": "because",
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"timestamp": "03/15/2022 13:11:28",
"content": "if u slice the thing in half",
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"content": "u would have like a trianglular thing",
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"content": "2",
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"author_name": "teaa",
"timestamp": "03/15/2022 13:11:55",
"content": "no not like that",
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"timestamp": "03/15/2022 13:12:03",
"content": "i mean",
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"timestamp": "03/15/2022 13:12:07",
"content": "i can visualize it",
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"timestamp": "03/15/2022 13:12:19",
"content": "and see why that is the case u know",
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"timestamp": "03/15/2022 13:12:33",
"content": "go for it",
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"timestamp": "03/15/2022 13:12:41",
"content": "but i need to write it on the paper",
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"timestamp": "03/15/2022 13:12:41",
"content": "i-my brain's stuck with colege math",
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"timestamp": "03/15/2022 13:12:48",
"content": "yeah yeah ahahahaha",
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"timestamp": "03/15/2022 13:12:51",
"content": "im 7th grade",
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"author_name": "teaa",
"timestamp": "03/15/2022 13:12:56",
"content": "and im doing college math",
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"timestamp": "03/15/2022 13:13:09",
"content": "yeah you probably should avoid doing that",
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"timestamp": "03/15/2022 13:13:34",
"content": "mk doing these",
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"author_name": "teaa",
"timestamp": "03/15/2022 13:13:48",
"content": "i want challenges cus middle school stuff easy for me",
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"timestamp": "03/15/2022 13:14:02",
"content": "i wish i was thinking like that during my highschool days",
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"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:14:11",
"content": "i went to the easiest highschool i could find cause why not",
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"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:14:19",
"content": "and then i went on to go to the hardest university in serbia lmao",
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"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:17:17",
"content": "Prove that the diagonal of the 3D parelelogram ( not a native english speaker ) ABCDA1B1C1D1 cuts through the center of the triangle BDA1",
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"timestamp": "03/15/2022 13:26:28",
"content": "k",
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"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 13:32:17",
"content": "@HoboWAM Has your question been resolved?",
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"id": 953344960751620100,
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"author_name": "HoboWAM",
"timestamp": "03/15/2022 13:32:30",
"content": "@Helpers",
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},
{
"id": 953348800037130200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:47:46",
"content": "You let A=0",
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"id": 953348827606294500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:47:52",
"content": "You have three vectors",
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"id": 953348882077741000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:48:05",
"content": "a=AB",
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{
"id": 953348910909390800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:48:12",
"content": "b=AD",
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"id": 953348945852117000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:48:21",
"content": "c=AA_1",
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},
{
"id": 953349011455238300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:48:36",
"content": "So AC_1=a+b+c",
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"id": 953349026940604500,
"author_id": 826318983413366800,
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"timestamp": "03/15/2022 13:48:40",
"content": "On the other hand",
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"id": 953349140178432000,
"author_id": 826318983413366800,
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"timestamp": "03/15/2022 13:49:07",
"content": "The center is P, AP=(1/3)(a+b+c)",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/15/2022 13:49:29",
"content": "So P is on the line AC_1",
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"timestamp": "03/15/2022 14:02:31",
"content": "@HoboWAM Has your question been resolved?",
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"timestamp": "03/15/2022 14:05:55",
"content": "Channel closed",
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] | help-10 | 2486f5be7e56443ba5e546492b2b8df6 |
1,264 | [
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"id": 953353381827719200,
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"timestamp": "03/15/2022 14:05:58",
"content": "thanks!!!",
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"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 14:06:56",
"content": "Available help channel!",
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{
"id": 953353743515152500,
"author_id": 414787086802223100,
"author_name": "ana",
"timestamp": "03/15/2022 14:07:24",
"content": "You randomly take a card from a well-shuffled deck of cards and then put them back.\n\n1) What is the probability that after 100 times you have not drawn an ace of hearts.\n2) What is the probability that after 20 times you drew an ace at least once.",
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"id": 953353745427726300,
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"timestamp": "03/15/2022 14:07:25",
"content": "Pinned a message.",
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"author_name": "ana",
"timestamp": "03/15/2022 14:08:01",
"content": "I don’t really have any work bc I don’t know how to start and we use this formula called la place or whatever",
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"id": 953355856693571700,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:15:48",
"content": "Well in theory if you got 1/54 chance to draw ace of hearts you should draw at least 1 in 100 drawns. But thats not true",
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"id": 953356563467350000,
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"author_name": "ana",
"timestamp": "03/15/2022 14:18:37",
"content": "Well yeah obviously, but that’s the whole point of this exercise it’s to go beyond that logic",
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"timestamp": "03/15/2022 14:30:22",
"content": "@ana ok after a bit of search",
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"author_name": "Pluton",
"timestamp": "03/15/2022 14:30:39",
"content": "I found out the formula\n$$(1 - p)^n$$ to be true",
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"timestamp": "03/15/2022 14:30:42",
"content": "**Pluton**",
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"timestamp": "03/15/2022 14:30:53",
"content": "p being probability n being tries",
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"author_name": "ana",
"timestamp": "03/15/2022 14:31:00",
"content": "Yea",
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"id": 953360041237422200,
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"author_name": "Pluton",
"timestamp": "03/15/2022 14:32:26",
"content": "Well you just plug it in and thats question 1 done",
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"id": 953360138524307600,
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"timestamp": "03/15/2022 14:32:49",
"content": "questio 2 uses same formula",
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"id": 953360191225737200,
"author_id": 414787086802223100,
"author_name": "ana",
"timestamp": "03/15/2022 14:33:02",
"content": "Idk what to put in tho",
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"id": 953360218430005200,
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"author_name": "ana",
"timestamp": "03/15/2022 14:33:08",
"content": "bc if u say like",
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"id": 953360267897610200,
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"author_name": "Pluton",
"timestamp": "03/15/2022 14:33:20",
"content": "Well a deck has 54 cards",
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"id": 953360279503270000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:33:23",
"content": "And 4 aces",
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"id": 953360470092427300,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:34:08",
"content": "Probability it wont happen\n$$(1 - p)^n$$\nProbability it will happen\n$$1 - (1-p)^n$$",
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"timestamp": "03/15/2022 14:34:12",
"content": "**Pluton**",
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"timestamp": "03/15/2022 14:34:33",
"content": "Just plug in second formula",
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"author_name": "ana",
"timestamp": "03/15/2022 14:36:38",
"content": "But then I get one as the answer",
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"id": 953361534095093800,
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"timestamp": "03/15/2022 14:38:22",
"content": "oh wait I got it",
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"author_name": "ana",
"timestamp": "03/15/2022 14:38:28",
"content": "But the n is supposed to be only for p",
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"id": 953361566630293500,
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"timestamp": "03/15/2022 14:38:30",
"content": "Not one",
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"id": 953361834583400400,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:39:33",
"content": ",w 1 - (1 - 4/54)^20",
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"id": 953361856678985900,
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"author_name": "TeXit",
"timestamp": "03/15/2022 14:39:39",
"content": "Results provided by WolframAlpha",
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"id": 953361887066738700,
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"author_name": "Pluton",
"timestamp": "03/15/2022 14:39:46",
"content": "Seems correct to me",
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"author_name": "ana",
"timestamp": "03/15/2022 14:40:38",
"content": "Not if u do the first one lol",
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"id": 953362185344647200,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:40:57",
"content": "What do you mean",
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"id": 953362246518599800,
"author_id": 414787086802223100,
"author_name": "ana",
"timestamp": "03/15/2022 14:41:12",
"content": "If u put in",
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"id": 953362291770937300,
"author_id": 414787086802223100,
"author_name": "ana",
"timestamp": "03/15/2022 14:41:22",
"content": "1-(1-53/54)^100",
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},
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"author_name": "ana",
"timestamp": "03/15/2022 14:41:30",
"content": "My calculator says one",
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},
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"id": 953362417793003500,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:41:53",
"content": "Bc that would be approx 1",
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"id": 953362536844120200,
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"author_name": "Pluton",
"timestamp": "03/15/2022 14:42:21",
"content": ",w (1/54)^100",
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},
{
"id": 953362557446537200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/15/2022 14:42:26",
"content": "Results provided by WolframAlpha",
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},
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"id": 953362595023319000,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 14:42:35",
"content": "Basically 0",
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},
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"id": 953366098584141800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 14:56:30",
"content": "@ana Has your question been resolved?",
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] | help-10 | 55ecff1f955c44669f19f776d69f9ec4 |
1,265 | [
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"timestamp": "03/15/2022 15:12:31",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:19:03",
"content": "Hey i am in 8th grade and I tried everything i just don’t get the question",
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"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:20:09",
"content": "solve for x and y first",
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"timestamp": "03/15/2022 15:20:16",
"content": "do you know how to solve?",
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"id": 953372204572238000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:20:46",
"content": "no sorry",
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"id": 953372298835001500,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:21:08",
"content": "have you learnt solving simultaneous linear equations?",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:22:12",
"content": "yes but we got a really bad teacher so I asked about it be she couldn't really help me so i thought I would aks here",
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"id": 953372593564553200,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:22:19",
"content": "okay",
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"id": 953372675202506800,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:22:38",
"content": "do you know what are the methods to solve simultaneous linear equations?",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:23:18",
"content": "I think you should trace",
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"id": 953373088349814800,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:24:17",
"content": "For the equation 3y - 2x = 12, express y as the subject in terms of x",
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"id": 953373140707336200,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:24:29",
"content": "i hope you know how to do this",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:24:42",
"content": "yeah i think so",
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"id": 953373274916671600,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:25:01",
"content": "try it now, and let's see what you get",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:25:06",
"content": "i will",
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"id": 953375902849445900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:35:28",
"content": "hey i am back",
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},
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"id": 953375991663837300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:35:49",
"content": "i dont have the answer yet",
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},
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"id": 953376040644931700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:36:00",
"content": "I tried but I just get stuck",
"attachments": [],
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"id": 953376787604316300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:38:59",
"content": "@Helpers can you help me i don't understand the question",
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"id": 953377636166557800,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 15:42:21",
"content": "I dont think thats how its supposed to be solved",
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"id": 953377749928648700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:42:48",
"content": "oh",
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"id": 953377795558477800,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 15:42:59",
"content": "Normally when i see this type of questions you need to manipulate somehow both equations",
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"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 15:43:49",
"content": "I think for an 8th grader, the most straightforward solution would be to solve for x and y",
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"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:44:15",
"content": "I agree with you",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 15:44:57",
"content": "@Lil_Boegur do you know quadratic formula",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:45:25",
"content": "yeah I think so but i am not relly good at math",
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"id": 953378559047647400,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:46:01",
"content": "have you tried this?",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/15/2022 15:46:08",
"content": "I see you can factor first equation",
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"id": 953378590265835600,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/15/2022 15:46:08",
"content": "what do you get?",
"attachments": [],
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{
"id": 953378697996546000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:46:34",
"content": "yeah I tried but I just didint get it",
"attachments": [],
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},
{
"id": 953379685474136000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:50:29",
"content": "Can maybe some help me like step for step",
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{
"id": 953381836871065600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 15:59:02",
"content": "@Helpers can someone help me it due tomorrow and i don't want to get in any trouble",
"attachments": [],
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},
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"id": 953385612625461200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 16:14:03",
"content": "@Lil_Boegur Has your question been resolved?",
"attachments": [],
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:24:00",
"content": "no",
"attachments": [],
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{
"id": 953388150791745500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:24:08",
"content": "it hasn't",
"attachments": [],
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},
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"id": 953390571395891200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:33:45",
"content": "So, one of the methods to solve this is to solve one of the equations for either x or y and then substitute the variables of the other equation with your result.",
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"id": 953390725159084200,
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:34:22",
"content": "I'd suggest solving 3y - 2x = 12 since it's the easier equation\nDo you want to solve for x or for y?",
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{
"id": 953390842352107500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:34:49",
"content": "yeah but i don't know hoe",
"attachments": [],
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},
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"id": 953390954293911600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:35:16",
"content": "I'll help you, don't worry\nLet's solve for x, it doesn't really matter too much",
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{
"id": 953390990264246300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:35:25",
"content": "oke",
"attachments": [],
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},
{
"id": 953391060674023400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:35:42",
"content": "So you want to solve 3y - 2x = 12 for x, do you know how to do that?",
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{
"id": 953391214160388100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:36:18",
"content": "I think you have to trace out the x",
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"id": 953391382544920700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:36:58",
"content": "Yep, so you'll want to move everything that isn't x to the other side of the equation (i.e. a variable, a number)",
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"id": 953391442242465800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:37:12",
"content": "okay",
"attachments": [],
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},
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"id": 953391632319930500,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:37:58",
"content": "So what you want to do is subtract 3y from both sides, does that make sense?",
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"id": 953391703610499100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:38:15",
"content": "so that is 2x=-3y+12",
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"id": 953391715325182000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:38:18",
"content": "yes",
"attachments": [],
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},
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"id": 953391784849989600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:38:34",
"content": "Yep 👍",
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"id": 953391819822088200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:38:43",
"content": "Well, almost actually",
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},
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"id": 953391840445489200,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:38:47",
"content": "oh",
"attachments": [],
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},
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"id": 953391850918649900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:38:50",
"content": "okay",
"attachments": [],
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},
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"id": 953391898549162100,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:39:01",
"content": "It's\n-2x = -3y + 12",
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"id": 953391985518084200,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:39:22",
"content": "oh yeah",
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"id": 953392197179420700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:40:12",
"content": "Don't worry about that, it's an easy mistake to make\nSo now, you want the -2 to be gone as well. This means you have to divide both sides by -2",
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"id": 953392265382989800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:40:29",
"content": "yes i understand",
"attachments": [],
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"id": 953392427287314600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:41:07",
"content": "And then, the equation is...?",
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"id": 953392582141050900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:41:44",
"content": "x= 1,5-6",
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"id": 953392605671071700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:41:50",
"content": "1,5y",
"attachments": [],
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},
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"id": 953392689368416300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:42:10",
"content": "Exactly!",
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"id": 953392715700248700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:42:16",
"content": "oke",
"attachments": [],
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},
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"id": 953392864270897200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:42:52",
"content": "And now, you enter 1.5y - 6 for every x that appears in the other equation",
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"id": 953392974367174800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:43:18",
"content": "oh isee",
"attachments": [],
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"id": 953392983082942600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:43:20",
"content": "yes",
"attachments": [],
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},
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"id": 953393207947984900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:44:13",
"content": "so now we got to do that for the y aswel",
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"id": 953393467994800100,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 16:45:15",
"content": "Then, the equation becomes ${(1.5y - 6)}^2+4y^2-8y+2*(1.5y-6)$\nAnd the good thing about this is that you only have y's and no x's",
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"id": 953393479877292000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/15/2022 16:45:18",
"content": "**Asgard**",
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"timestamp": "03/15/2022 16:45:51",
"content": "No, then you just solve the resulting equation for y",
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"timestamp": "03/15/2022 16:46:06",
"content": "oh",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:46:31",
"content": "wait let me see",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:49:06",
"content": "For now, just try to get everything with a y or a y^2 on one side, you're going to bump into a problem you can't solve with eihgth grade maths",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:49:56",
"content": "okay so I can't answer that main question of 5x+5y",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:50:53",
"content": "The problem is that you have to solve a quadratic equation and that's not possible without guessing (at least at the moment, you'll learn a formula for it later)",
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"timestamp": "03/15/2022 16:52:25",
"content": "you mean a^2+bx+c",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:52:38",
"content": "Oh, do you know that already? :D",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:52:46",
"content": "yeah",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:53:04",
"content": "Fantastic, then you can solve it",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:53:09",
"content": "GRADE",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:53:18",
"content": "NICE",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:53:24",
"content": "sorry caps",
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"timestamp": "03/15/2022 16:53:28",
"content": "Dw :>",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:54:26",
"content": "so i am calculating the first question right now",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:54:45",
"content": "Mhm\nDo you know how to solve the equation?",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:55:27",
"content": "i am trying but if you could help me that would be great",
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"timestamp": "03/15/2022 16:55:40",
"content": "Alright :D",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:56:02",
"content": "thx 🙂",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:56:34",
"content": "So first, let's try to make the (1.5y - 6)^2 easier\nJust multiply (1.5y - 6)*(1.5y - 6)",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:56:56",
"content": "so 1,5y*1,5y",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:57:06",
"content": "is 2,25y^2",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:57:13",
"content": "Not quite",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:57:16",
"content": "oh",
"attachments": [],
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:57:39",
"content": "When squaring this sort of expression, you have to sort of multiply everything with everything",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:58:04",
"content": "alr and how do we do that",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:59:00",
"content": "Like this",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 16:59:25",
"content": "oh but I thought I was doing that",
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"author_name": "Asgard",
"timestamp": "03/15/2022 16:59:43",
"content": "So the result is a\\*a + a\\*b + a\\*b + b\\*b",
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"id": 953397212564566100,
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:00:08",
"content": "$a^2 + 2*ab + b^2$",
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"author_name": "TeXit",
"timestamp": "03/15/2022 17:00:11",
"content": "**Asgard**",
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"timestamp": "03/15/2022 17:00:43",
"content": "You only did a*a",
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"timestamp": "03/15/2022 17:00:54",
"content": "oh yeah I see",
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"timestamp": "03/15/2022 17:01:55",
"content": "That means our result is\n$(1.5y)^2 + 3y\\*(-6) + (-6)^2$",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:02:20",
"content": "yeah okay",
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:02:32",
"content": "Not 21.5 lmao\nSorry, the bot seemed to skip the asterisk",
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"timestamp": "03/15/2022 17:02:48",
"content": "**Asgard**",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:03:01",
"content": "oh np",
"attachments": [],
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"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:03:17",
"content": "Do you think you can solve this yourself?",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:03:49",
"content": "yeah I am going to try",
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:04:01",
"content": "Alright, tell me if you're stuck",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:04:08",
"content": "i will",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:05:53",
"content": "I got -15,75y+36",
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"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:06:54",
"content": "You seem to have dropped a y^2 somewhere 🤔",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:07:11",
"content": "oh",
"attachments": [],
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"id": 953399025896403000,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:07:21",
"content": "The 36 is correct, but it's -18y, not -15.75y",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:07:42",
"content": "oh",
"attachments": [],
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:08:13",
"content": "I at first had 2,25y-18y+36",
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:08:20",
"content": "Okay, well the correct result is 2.25 y^2 - 18y + 36",
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"timestamp": "03/15/2022 17:08:40",
"content": "That was almost correct! You just seem to have forgotten a ^2",
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"timestamp": "03/15/2022 17:08:49",
"content": "yeah I think so",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:09:18",
"content": "so what do we do with this answer",
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"timestamp": "03/15/2022 17:10:19",
"content": "Alright, so now we're at 2.25y^2 - 18y + 36 + 4y^2 - 8y + 2*(1.5y - 6)",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:10:35",
"content": "yes",
"attachments": [],
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:10:36",
"content": "We just have to simplify one more thing",
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"id": 953400064531902500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:11:28",
"content": "the 4y^2-8y+2*(1,5y-6) right",
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"id": 953400229246431200,
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"timestamp": "03/15/2022 17:12:07",
"content": "Exactly\nAnd we'll make our lives a whole lot easier if we solve 2*(1.5y - 6) first",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:12:41",
"content": "yeah so that is 3y-12",
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"timestamp": "03/15/2022 17:12:49",
"content": "Yep",
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"id": 953400502144610400,
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:13:13",
"content": "So now, it's\n2.25y^2 - 18y + 36 + 4y^2 - 8y + 3y -12",
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"id": 953400603994898400,
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:13:37",
"content": "yes",
"attachments": [],
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"id": 953400646986526700,
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"author_name": "Asgard",
"timestamp": "03/15/2022 17:13:47",
"content": "And we can add things like 2.25y^2 and 4y^2 together to simplify everything even further",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:14:30",
"content": "yes so we get 6,25y^2-26y+24",
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"id": 953400907532472300,
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"timestamp": "03/15/2022 17:14:49",
"content": "Exactly!",
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"id": 953401131353120800,
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"timestamp": "03/15/2022 17:15:43",
"content": "And the equation that we get is\n6,25y^2-26y+24 = 3, but we need the 3 to be a zero, so just subtract three on both sides",
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"id": 953401261141663700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:16:13",
"content": "oke",
"attachments": [],
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"id": 953401366515155000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:16:39",
"content": "so 6,25y^2-26y+21",
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"id": 953401407153786900,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:16:48",
"content": "👍",
"attachments": [],
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{
"id": 953401483297181700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:17:06",
"content": "nice",
"attachments": [],
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{
"id": 953401556655558800,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:17:24",
"content": "Now, just enter the values into the formula for quadratic equations",
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"id": 953401590658793500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:17:32",
"content": "oke",
"attachments": [],
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},
{
"id": 953401755650125800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:18:11",
"content": "don't we need to divide everything by 6,25 firs",
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"id": 953401776630018000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:18:16",
"content": "first*",
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"id": 953401938995732600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:18:55",
"content": "Not really",
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"id": 953402059057668100,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:19:24",
"content": "Just enter\n6.25 for a\n-26 for b\n21 for c",
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"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:19:32",
"content": "oh thanks",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:21:58",
"content": "I am stuck man",
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{
"id": 953402736605528000,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:22:05",
"content": "Where exactly?",
"attachments": [],
"mentions": [],
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},
{
"id": 953402749037457500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:22:08",
"content": "My calculator says math error",
"attachments": [],
"mentions": [],
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},
{
"id": 953402812476317700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:22:23",
"content": "Could you send what you entered?",
"attachments": [],
"mentions": [],
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},
{
"id": 953403259383611400,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:24:10",
"content": "-26+ -26-4**-26* *21",
"attachments": [],
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},
{
"id": 953403314358321300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:24:23",
"content": "So you entered +-?",
"attachments": [],
"mentions": [],
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},
{
"id": 953403392166879200,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:24:42",
"content": "No only the +",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953403452095086600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:24:56",
"content": "and then afterward I would do the same but then for -",
"attachments": [],
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},
{
"id": 953403468121530400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:25:00",
"content": "Mhm okay",
"attachments": [],
"mentions": [],
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},
{
"id": 953403631191851100,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:25:39",
"content": "Could you put parentheses around the (-26) and try again?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953403680340725900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:25:50",
"content": "i will try",
"attachments": [],
"mentions": [],
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},
{
"id": 953403987388932100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:27:03",
"content": "yeah that worked",
"attachments": [],
"mentions": [],
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},
{
"id": 953404095274832000,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:27:29",
"content": "Awesome :D\nWhat's the result?",
"attachments": [],
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},
{
"id": 953404210739834900,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:27:57",
"content": "-2190.625",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953404311935791200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:28:21",
"content": "Hmmmm",
"attachments": [],
"mentions": [],
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},
{
"id": 953404375005536300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:28:36",
"content": "wait",
"attachments": [],
"mentions": [],
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},
{
"id": 953404404659269800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:28:43",
"content": "i did something wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953404656762110100,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:29:43",
"content": "I think so...",
"attachments": [],
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},
{
"id": 953404740706894000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:30:03",
"content": "-1640,625",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953404773456035800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:30:11",
"content": "I still think its wrong",
"attachments": [],
"mentions": [],
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},
{
"id": 953404807773831300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:30:19",
"content": "Give me a second",
"attachments": [],
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},
{
"id": 953405174783832000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:31:47",
"content": "and the other answer was -1803.125",
"attachments": [],
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},
{
"id": 953405327989149800,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:32:23",
"content": "The two blue points are the ones we're looking for\nThey're pretty close to 1 and 3",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/953405327448105000/unknown.png",
"fileName": "unknown.png",
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"id": 953405499099979800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:33:04",
"content": "oh then I was def. wrong",
"attachments": [],
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},
{
"id": 953405787445821600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:34:13",
"content": "The solutions of 6,25y^2-26y+21 = 0 are\ny_1 = 1.09\ny_2 = 3.06",
"attachments": [],
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},
{
"id": 953405843854995500,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:34:26",
"content": "Oh wait hold up",
"attachments": [],
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},
{
"id": 953405905725178000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:34:41",
"content": "alr I will wait",
"attachments": [],
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},
{
"id": 953406127494795300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:35:34",
"content": "There are two solutions, because it's a quadratic equation, but we need one value for y so we can continue to work with it",
"attachments": [],
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},
{
"id": 953406308369989800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:36:17",
"content": "so we have to go back to 3y-2x=12",
"attachments": [],
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},
{
"id": 953406414984978400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:36:42",
"content": "I don't think we made a mistake there, the problem is somewhere else",
"attachments": [],
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},
{
"id": 953406666257363000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:37:42",
"content": "oh but if we want to know the value of y we have to trace back the y",
"attachments": [],
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"id": 953406682476732400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:37:46",
"content": "Oh wait\nLet's try both y for what we're going to do and see if one matches and the other one doesn't\nThen we can rule it out",
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"id": 953406737417924600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:37:59",
"content": "smart idea",
"attachments": [],
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},
{
"id": 953406945228894200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:38:49",
"content": "So we have these two values, we just have to plug them into 3y-2x=12 and then solve for x\n(Two times because we have two values)",
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"id": 953407017073115300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:39:06",
"content": "yesh I get it",
"attachments": [],
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},
{
"id": 953407235365691400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:39:58",
"content": "Awesome!",
"attachments": [],
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},
{
"id": 953407252574904300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:40:02",
"content": "so 3y-2x=1.09 and 3y-2x=3,06",
"attachments": [],
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},
{
"id": 953407387644100600,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:40:34",
"content": "Not really, you have to substitute the y in there with the value, not the 12",
"attachments": [],
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},
{
"id": 953407531038937100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:41:08",
"content": "so how would you write that down",
"attachments": [],
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},
{
"id": 953407658608697300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:41:39",
"content": "3\\*1.09-2x=12\nand\n3\\*3.06-2x=12",
"attachments": [],
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},
{
"id": 953407720323694700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:41:53",
"content": "Fricken Discord xD",
"attachments": [],
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},
{
"id": 953407784995664000,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:42:09",
"content": "hah",
"attachments": [],
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},
{
"id": 953407949324316700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:42:48",
"content": "3,27-2x=12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953407962376962200,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:42:51",
"content": "Actually, we can do it even simpler",
"attachments": [],
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},
{
"id": 953408031285211100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:43:08",
"content": "oe I like simple things",
"attachments": [],
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},
{
"id": 953408047580053500,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:43:12",
"content": "Just use the equation we got before:\nx = 1.5y - 6",
"attachments": [],
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},
{
"id": 953408448257732700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:44:47",
"content": "So\nx_1 = 1.5\\*1.09 - 6\nx_2 = 1.5\\*3.06 - 6\n\nwait",
"attachments": [],
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},
{
"id": 953408543254540300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:45:10",
"content": "what is wrong",
"attachments": [],
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},
{
"id": 953408621541204000,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:45:28",
"content": "There isn't a condition we have to fulfill, they want you to calculate a value...",
"attachments": [],
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},
{
"id": 953408813275414500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:46:14",
"content": "what do you mean",
"attachments": [],
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},
{
"id": 953408871530135700,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:46:28",
"content": "The question was 5x + 5y = ?",
"attachments": [],
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},
{
"id": 953408891130085500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:46:33",
"content": "yas",
"attachments": [],
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},
{
"id": 953408900378542100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:46:35",
"content": "yes",
"attachments": [],
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},
{
"id": 953409134013857900,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:47:31",
"content": "And since we have two y and we will have two x, there will be two values for \"?\"",
"attachments": [],
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},
{
"id": 953409414419857500,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:48:37",
"content": "There will be\n?_1 = -16.375\n?_2 = 22.35\n\nHmmmm",
"attachments": [],
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},
{
"id": 953409483349061600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:48:54",
"content": "we only have x and y what could it be",
"attachments": [],
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},
{
"id": 953409654359195800,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:49:35",
"content": "Well, we have two y, that means we can calculate two x, which will result in two equations",
"attachments": [],
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},
{
"id": 953409805165424800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:50:11",
"content": "2 coordination",
"attachments": [],
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},
{
"id": 953409814443216900,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:50:13",
"content": "(I) 5\\*x_1 + 5\\*y_1 = ?_1\n(II) 5\\*x_2 + 5\\*y_2 = ?_2",
"attachments": [],
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},
{
"id": 953409996421464200,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:50:56",
"content": "ahhh",
"attachments": [],
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},
{
"id": 953410079170912300,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:51:16",
"content": "so we have the 2",
"attachments": [],
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},
{
"id": 953410094425575400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:51:20",
"content": "oooof I have no idea how to solve this tbh",
"attachments": [],
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},
{
"id": 953410206333796500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:51:46",
"content": "oh its okay",
"attachments": [],
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},
{
"id": 953410364043837400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:52:24",
"content": "Maybe another person can help you, try pinging the Helper role after 15 minutes\nIt's getting kind of late where I live unfortunately",
"attachments": [],
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},
{
"id": 953410437452550100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:52:41",
"content": "yeah for me to",
"attachments": [],
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},
{
"id": 953410481060724700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:52:52",
"content": "its almost 11pm",
"attachments": [],
"mentions": [],
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},
{
"id": 953410583544352800,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:53:16",
"content": "We're in the same timezone :D",
"attachments": [],
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},
{
"id": 953410639060172800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:53:29",
"content": "where do you live then",
"attachments": [],
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},
{
"id": 953410667765985300,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:53:36",
"content": "Germany 👀",
"attachments": [],
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"reference": null
},
{
"id": 953410707372773500,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:53:46",
"content": "i am from the netherlands",
"attachments": [],
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},
{
"id": 953410978647789600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:54:50",
"content": "",
"attachments": [
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"id": 953411004262404100,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:54:56",
"content": "found this on a site",
"attachments": [],
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},
{
"id": 953411075087429600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:55:13",
"content": "I don't know if its right i an just going to turn this in",
"attachments": [],
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},
{
"id": 953411121434472400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:55:24",
"content": "Nice :D\nWell, good luck with your homework!",
"attachments": [],
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},
{
"id": 953411162437992400,
"author_id": 560865133476315140,
"author_name": "Asgard",
"timestamp": "03/15/2022 17:55:34",
"content": "Not sure about that 🤷♂️",
"attachments": [],
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"id": 953411164237336600,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:55:35",
"content": "thx man you too",
"attachments": [],
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"id": 953411271779311700,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:56:00",
"content": "I am to tired to go make math again so i am fine with it",
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"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:56:39",
"content": "well asgard thx for your help",
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"id": 953411579502796800,
"author_id": 723223936384368800,
"author_name": "Lil_Boegur",
"timestamp": "03/15/2022 17:57:14",
"content": ".close",
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"id": 953411581264404600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 17:57:14",
"content": "Channel closed",
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] | help-10 | a55c3e5dc0394e85936dda49a20efef4 |
1,266 | [
{
"id": 953411833765720000,
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"timestamp": "03/15/2022 17:58:14",
"content": "Available help channel!",
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},
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"id": 953413265411670000,
"author_id": 546173081098649600,
"author_name": "Caleb.",
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"content": "(sin20)(tan10+cot10) without a calculator",
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},
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"id": 953413267622101000,
"author_id": 805217272087838700,
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"timestamp": "03/15/2022 18:03:56",
"content": "Pinned a message.",
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"author_name": "Caleb.",
"timestamp": "03/15/2022 18:04:07",
"content": "I just do not know how this is supposed to wkr",
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},
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"id": 953413318457032700,
"author_id": 546173081098649600,
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"timestamp": "03/15/2022 18:04:08",
"content": "work",
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},
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"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:04:39",
"content": "I converted into radians but this did not help my understanding",
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},
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"timestamp": "03/15/2022 18:19:39",
"content": "@Caleb. Has your question been resolved?",
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"timestamp": "03/15/2022 18:21:00",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 479894227556467ca4ab45b3c9f793e1 |
1,267 | [
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"id": 953417585154748500,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:21:05",
"content": ".reopen",
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"timestamp": "03/15/2022 18:21:06",
"content": "✅",
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"author_name": "Caleb.",
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"content": "(sin20)(tan10+cot10) without a calculator",
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"id": 953417697624993800,
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"timestamp": "03/15/2022 18:21:32",
"content": "@Helpers",
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{
"id": 953418917940986000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:26:23",
"content": "easy",
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},
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"id": 953418965982519300,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:26:35",
"content": "its easy I just forget how to do it",
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{
"id": 953419120995618800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:27:12",
"content": "2",
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"id": 953419280681160800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:27:50",
"content": "yeah I know the answer",
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"id": 953419286347649200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:27:51",
"content": "what is sin(20) in terms of cos(10) and sin(10)",
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},
{
"id": 953419300448911400,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:27:54",
"content": "its just how to do it",
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},
{
"id": 953419385530351700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:28:15",
"content": "do u know?",
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},
{
"id": 953419396863393800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:28:17",
"content": "no",
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},
{
"id": 953419434243014700,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:28:26",
"content": "i forgot how to do lots of trig",
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"id": 953419504053002200,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:28:43",
"content": "its the identities i forgot",
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{
"id": 953419557593288700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:28:56",
"content": "u know sin(2a) = 2sin(a)cos(a)",
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"id": 953419600194850800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:29:06",
"content": "yes",
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{
"id": 953419645724028900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:29:17",
"content": "ok apply it and solve problem",
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},
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"id": 953420094900404400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:31:04",
"content": "u done?",
"attachments": [],
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},
{
"id": 953420694211940400,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:33:27",
"content": "i did something stupid I think",
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},
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"id": 953420793050701800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:33:50",
"content": "(2sin10cos10)(sin10/cos10+cos10/sin10)",
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"id": 953420816563986600,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:33:56",
"content": "is this a valid step?",
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"id": 953421103185948700,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:35:04",
"content": "@<><><>",
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"id": 953421282920255600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:35:47",
"content": "no this is fine",
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{
"id": 953421319251320800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:35:56",
"content": "i dont know what to do next",
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"id": 953421335999176700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:36:00",
"content": "now carry out the multiplication",
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{
"id": 953421382757261400,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:36:11",
"content": "I did it wrong",
"attachments": [],
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},
{
"id": 953421391242358800,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:36:13",
"content": "and got 4",
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{
"id": 953421427833466900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:36:22",
"content": "after I add both terms",
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{
"id": 953421580455788500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:36:58",
"content": "how u get 4",
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},
{
"id": 953421646318952600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:37:14",
"content": "(2sin10cos10)(sin10/cos10+cos10/sin10) start from here",
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{
"id": 953421812769898600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:37:53",
"content": "and walk me through what u did",
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"id": 953421994651701400,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:38:37",
"content": "no",
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"id": 953422017208660100,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:38:42",
"content": "i just dont know what im doing tbh",
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},
{
"id": 953422067204767900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:38:54",
"content": "could you please walk me through the steps",
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{
"id": 953422216421335000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:39:30",
"content": "Wht is $2\\sin{10}\\cos{10} \\times \\frac{\\sin{10}}{\\cos{10}}$",
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{
"id": 953422226839994400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/15/2022 18:39:32",
"content": "**azeem321**",
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"id": 953422253914222700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:39:39",
"content": "no im not solving it for you",
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{
"id": 953422293034483700,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:39:48",
"content": "i dont want u to solve for me",
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{
"id": 953422324651130900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:39:55",
"content": "if i wanted an answer i just use my calculator",
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"id": 953422524102901900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:40:43",
"content": "this looks like sin10/2sin10 but its not",
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},
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"id": 953422545980391400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:40:48",
"content": "carry out the multiplication and tell me your result",
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{
"id": 953423013469122600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:42:40",
"content": "what is $\\frac{\\cos{10}}{\\cos{10}}$",
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"id": 953423026890895400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/15/2022 18:42:43",
"content": "**azeem321**",
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"id": 953423233493905500,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:43:32",
"content": "1",
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},
{
"id": 953423441288126500,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:44:22",
"content": "omg i am cumb",
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},
{
"id": 953423448431013900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:44:23",
"content": "dumb",
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},
{
"id": 953423457985642500,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:44:26",
"content": "ok",
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},
{
"id": 953423554773389300,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:44:49",
"content": "2sin^2(10)+2cos^2(10)",
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},
{
"id": 953423555079594000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:44:49",
"content": "yes",
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},
{
"id": 953423638000963600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:45:09",
"content": "but it's fine keep studying and u will be less dumb soon",
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},
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"id": 953423674017448000,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:45:17",
"content": "its just",
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{
"id": 953423695051911200,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:45:22",
"content": "we did this topic months ago",
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},
{
"id": 953423716354769000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:45:27",
"content": "yes",
"attachments": [],
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"reference": null
},
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"id": 953423756783669200,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:45:37",
"content": "and my teacher randomly gives this assignment in the middle of studying logs",
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},
{
"id": 953423855429496800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:46:00",
"content": "trigonometry will follow you for years in your math classes so get good at it",
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"id": 953423933783310300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/15/2022 18:46:19",
"content": "when u get rusty watch youtube videos",
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"id": 953424032114561000,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:46:43",
"content": "yes i do that sometimes",
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},
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"id": 953424049437044700,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:46:47",
"content": "i just need review",
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"id": 953424775068409900,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:49:40",
"content": "ty ❤️",
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},
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"id": 953424792067924100,
"author_id": 546173081098649600,
"author_name": "Caleb.",
"timestamp": "03/15/2022 18:49:44",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 18:49:44",
"content": "Channel closed",
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}
] | help-10 | 204af829748e41c28acb7c32fb2d5aad |
1,268 | [
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"timestamp": "03/15/2022 19:25:07",
"content": "isnt this correct?",
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"timestamp": "03/15/2022 19:25:53",
"content": ",rotate 180",
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"timestamp": "03/15/2022 19:26:21",
"content": "wtf",
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"timestamp": "03/15/2022 19:26:26",
"content": "what are these angles",
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"timestamp": "03/15/2022 19:26:29",
"content": "sorry the pic is messed up",
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"content": "lol",
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"content": "lmao",
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"timestamp": "03/15/2022 19:27:22",
"content": "are you trying to integrate that fraction ?",
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"timestamp": "03/15/2022 19:27:38",
"content": "you mean 0/x-3?",
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"timestamp": "03/15/2022 19:28:13",
"content": "no the rational fraction of \"degree\" 3/1",
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"timestamp": "03/15/2022 19:28:36",
"content": "Cause then I'd say the result looks good to me",
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"timestamp": "03/15/2022 19:29:02",
"content": "im supposed to use polynomial division on those 2 expressions and then integrate that",
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"timestamp": "03/15/2022 19:29:11",
"content": ",w integrate (x^3-3x²+2x-6)/(x-3)",
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"timestamp": "03/15/2022 19:29:13",
"content": "Results provided by WolframAlpha",
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"author_name": "Uneven Flow",
"timestamp": "03/15/2022 19:29:22",
"content": "@Deleted User",
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"timestamp": "03/15/2022 19:29:24",
"content": "Sup",
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"timestamp": "03/15/2022 19:29:50",
"content": "looks good to me yeah",
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"timestamp": "03/15/2022 19:30:00",
"content": "but this is different",
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"timestamp": "03/15/2022 19:30:09",
"content": "no",
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"timestamp": "03/15/2022 19:30:09",
"content": "how is there a x^2+6",
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"timestamp": "03/15/2022 19:30:18",
"content": "expand it",
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"timestamp": "03/15/2022 19:30:24",
"content": "ohh yeah ok",
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"timestamp": "03/15/2022 19:30:39",
"content": "idk why it chose to write it that way",
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"timestamp": "03/15/2022 19:30:43",
"content": "but look",
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"timestamp": "03/15/2022 19:30:44",
"content": "",
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"timestamp": "03/15/2022 19:31:02",
"content": "why did you integrate ?",
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"timestamp": "03/15/2022 19:31:16",
"content": "i thought we were supposed to lol",
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"timestamp": "03/15/2022 19:31:23",
"content": "don't see it written anywhere",
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"timestamp": "03/15/2022 19:31:42",
"content": "so do i just write x^2+2?",
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"timestamp": "03/15/2022 19:31:53",
"content": "what are you going to do if not try it",
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"id": 953435473123094700,
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"timestamp": "03/15/2022 19:32:10",
"content": "yeah you were right",
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"id": 953435478961553500,
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"timestamp": "03/15/2022 19:32:12",
"content": "thanks",
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"id": 953435503238213800,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 19:32:17",
"content": "can i ask u another question",
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"id": 953435523412811800,
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"timestamp": "03/15/2022 19:32:22",
"content": "just post it",
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"timestamp": "03/15/2022 19:33:21",
"content": "",
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"timestamp": "03/15/2022 19:33:27",
"content": "this is ibp tho",
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"id": 953435827470483500,
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"timestamp": "03/15/2022 19:33:35",
"content": "yes",
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"id": 953435838765760500,
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"timestamp": "03/15/2022 19:33:37",
"content": "i've tried this multiple times and have gotten it wrong",
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"timestamp": "03/15/2022 19:33:46",
"content": "i would show you my work but its all messy",
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"timestamp": "03/15/2022 19:33:46",
"content": "differentiate y",
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"timestamp": "03/15/2022 19:34:04",
"content": "integrate e^-2y",
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"timestamp": "03/15/2022 19:34:34",
"content": "only y?",
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"timestamp": "03/15/2022 19:34:45",
"content": "take the 9 out of the integral, don't bother with it",
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"timestamp": "03/15/2022 19:34:55",
"content": "can i do this with tabular notation?",
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"id": 953436212792803300,
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"timestamp": "03/15/2022 19:35:07",
"content": "what do you call tabular notation ?",
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"id": 953436252798062600,
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"timestamp": "03/15/2022 19:35:16",
"content": "u & dv",
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"id": 953436381907144800,
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"timestamp": "03/15/2022 19:35:47",
"content": "if you want. I always forget how that looks but if that's what you're familiar with",
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"id": 953436437490049000,
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"timestamp": "03/15/2022 19:36:00",
"content": "ok i'll try",
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"id": 953436525905969200,
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"timestamp": "03/15/2022 19:36:21",
"content": "so i differentiate y until it's 0 right?",
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"timestamp": "03/15/2022 19:36:52",
"content": "Apply the formula, stop doing IBPs when you think it's not the easiest step anymore",
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"timestamp": "03/15/2022 19:38:02",
"content": "",
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"timestamp": "03/15/2022 19:38:07",
"content": "?",
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"timestamp": "03/15/2022 19:38:29",
"content": "oh yeah i put a negative in front of the 1",
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"timestamp": "03/15/2022 19:39:46",
"content": "should be -9(y/2+1/4)e^-2y",
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"timestamp": "03/15/2022 19:40:11",
"content": "if you write this into a sum properly, you should get that",
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"timestamp": "03/15/2022 19:40:32",
"content": "does the 9 get distributed in those parenthesis?",
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"timestamp": "03/15/2022 19:40:57",
"content": "depends on how you want to write the final result. I put in factored form, you can expand if you want",
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"timestamp": "03/15/2022 19:41:22",
"content": "i got -1/2ye^-2y-1/4e^-2y",
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"id": 953437814073221100,
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"timestamp": "03/15/2022 19:41:28",
"content": "but i haven't added the 9 in yet",
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"timestamp": "03/15/2022 19:41:38",
"content": "you'll notice it's the same",
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"author_name": "potato",
"timestamp": "03/15/2022 19:41:59",
"content": "so do i put the 9 over the 2 & 4?",
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"timestamp": "03/15/2022 19:42:18",
"content": "you do whatever you want. There are many ways of writing this",
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"timestamp": "03/15/2022 19:42:42",
"content": "software like that should accept all equivalent answers as correct",
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"timestamp": "03/15/2022 19:43:18",
"content": "oh ok so then i have to do the bounds now",
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"timestamp": "03/15/2022 19:44:03",
"content": "",
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"timestamp": "03/15/2022 19:44:07",
"content": "that's the issue",
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"id": 953438499892265000,
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"timestamp": "03/15/2022 19:44:12",
"content": "i got this answer before",
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"timestamp": "03/15/2022 19:44:15",
"content": "and it was incorrect",
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"timestamp": "03/15/2022 19:44:40",
"content": "looks wrong to me",
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"timestamp": "03/15/2022 19:44:56",
"content": "its the same answer you got though",
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"timestamp": "03/15/2022 19:45:06",
"content": "you forgot to subtract the value at 0",
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"timestamp": "03/15/2022 19:46:23",
"content": "oh yeahh thank you",
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"author_name": "potato",
"timestamp": "03/15/2022 19:46:58",
"content": "do you mind helping with this",
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"timestamp": "03/15/2022 19:47:34",
"content": "I'd expect terms of all degrees from 3 to 0",
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"timestamp": "03/15/2022 19:47:37",
"content": "not just 3",
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"timestamp": "03/15/2022 19:47:59",
"content": "what do you mean?",
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"id": 953439527756787700,
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"timestamp": "03/15/2022 19:48:17",
"content": "just integrate",
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"id": 953439564557586400,
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"timestamp": "03/15/2022 19:48:26",
"content": "by parts",
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{
"id": 953439581213175800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 19:48:30",
"content": "then integrate by parts",
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"id": 953439606798422100,
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"timestamp": "03/15/2022 19:48:36",
"content": "then integrate by parts",
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"id": 953439614025236500,
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"timestamp": "03/15/2022 19:48:38",
"content": "u = t^3?",
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"timestamp": "03/15/2022 19:48:50",
"content": "just differentiate t^3",
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"timestamp": "03/15/2022 19:49:00",
"content": "ok ill do that",
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"id": 953439759223644200,
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"timestamp": "03/15/2022 19:49:12",
"content": "it's not hard when you got a polynomial, you take it's derivative until there's no polynomial anymore",
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"id": 953439840408580200,
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"timestamp": "03/15/2022 19:49:32",
"content": "guarantees the process ends",
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"timestamp": "03/15/2022 19:49:39",
"content": "true i'll differentiate t^3 and integrate e^-2t",
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"id": 953440324586471400,
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"author_name": "potato",
"timestamp": "03/15/2022 19:51:27",
"content": "",
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"id": 953440511589515300,
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"author_name": "themateo713",
"timestamp": "03/15/2022 19:52:12",
"content": ",w integrate -8t^3 e^(-2t) dt",
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"author_name": "TeXit",
"timestamp": "03/15/2022 19:52:14",
"content": "Results provided by WolframAlpha",
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"id": 953440577960177700,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 19:52:27",
"content": "oh yeah let me add the 8",
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"author_name": "potato",
"timestamp": "03/15/2022 19:52:29",
"content": "-8",
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"author_name": "themateo713",
"timestamp": "03/15/2022 19:52:58",
"content": "looks good to me",
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"timestamp": "03/15/2022 19:55:34",
"content": "",
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"id": 953441564548542500,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 19:56:23",
"content": "nvm i forgot the +c",
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"id": 953441575202062300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 19:56:25",
"content": "yes",
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{
"id": 953441622740316200,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 19:56:36",
"content": "mateo you are the literal goat",
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{
"id": 953441732366839800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 19:57:03",
"content": "I just told you to IBP and used wolfram calm down",
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},
{
"id": 953441866341318800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 19:57:35",
"content": "and checked your answers",
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},
{
"id": 953441948876816400,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 19:57:54",
"content": "loll yeah i know but i ask some other people and they just tell me idk what im doing and to completely relearn ibp",
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"author_name": "themateo713",
"timestamp": "03/15/2022 19:58:26",
"content": "You look decently at easy with it yeah",
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"author_name": "potato",
"timestamp": "03/15/2022 19:58:33",
"content": "so when i get someone that doesnt call me stupid im like enlightened lolll",
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"author_name": "themateo713",
"timestamp": "03/15/2022 19:59:11",
"content": "could get some more practice as these are very easy IBPs that you shouldn't struggle with, but for a help channel that's exceeding expectations for sure",
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"timestamp": "03/15/2022 19:59:56",
"content": "nah i mean that even when i asked a teacher he said i have to relearn everything",
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"id": 953442646309883900,
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"timestamp": "03/15/2022 20:00:40",
"content": "If you can do the exercises and you understand the method, the only thing left to \"learn\" is experience",
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"id": 953442722918830100,
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"timestamp": "03/15/2022 20:00:59",
"content": "yeah you're right",
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"id": 953443126217965600,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:02:35",
"content": "That's often the difference on these problems between the help-seeker and the help-giver: we've seen these problems before, we know how to solve them, sometimes in our heads, and we can use methods that we're familiar with that you're not, it allows us to do these things more easily",
"attachments": [],
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"id": 953443188356575200,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:02:50",
"content": "experience makes one hell of a difference",
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},
{
"id": 953443289623842800,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:03:14",
"content": "for sure i agree",
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},
{
"id": 953443489851535500,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:04:02",
"content": "tbh i just like to make sure what the u & dv is for this because im not always sure",
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},
{
"id": 953443508151287800,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:04:06",
"content": "It's like if you scroll up #help-6｜hibyehibye with AuHasard, I had 4 methods for his limit",
"attachments": [],
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},
{
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:04:28",
"content": "it's whatever you want. Your job is to find the ones that work well",
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"timestamp": "03/15/2022 20:04:52",
"content": "i put u=lnx",
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:04:55",
"content": "That's experience with a type of problem, you end up having many solutions from different techniques",
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{
"id": 953443757011918800,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:05:05",
"content": "yes",
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{
"id": 953443779279458400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:05:11",
"content": "indeed",
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{
"id": 953443797860253700,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:05:15",
"content": "first intuition as well",
"attachments": [],
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},
{
"id": 953443816352931800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:05:19",
"content": "reduces to a nice IBP",
"attachments": [],
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},
{
"id": 953443874414657700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:05:33",
"content": "you can do that one on your own I think",
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},
{
"id": 953443914193469400,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:05:43",
"content": "ill try",
"attachments": [],
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},
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"id": 953443954127425500,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:05:52",
"content": "i think that lnx only differentiates to 1/x",
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{
"id": 953444011337711600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:06:06",
"content": "I don't like the \"I think\" here",
"attachments": [],
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{
"id": 953444055742841000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:06:17",
"content": "i mean i know that it does",
"attachments": [],
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},
{
"id": 953444100919681000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:06:27",
"content": "& it stops there or else it's too complicated",
"attachments": [],
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},
{
"id": 953444261959962600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:07:06",
"content": "Actually this one can also be done without u-sub",
"attachments": [],
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},
{
"id": 953444496975220900,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:08:02",
"content": "i got 1/3x^3lnx-1/3x^2",
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},
{
"id": 953444550855254000,
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"author_name": "themateo713",
"timestamp": "03/15/2022 20:08:15",
"content": ",w integrate 8ln(x)/x²",
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{
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/15/2022 20:08:18",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 953444568962044000,
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"timestamp": "03/15/2022 20:08:19",
"content": "easy check",
"attachments": [],
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},
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"id": 953444731160002600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:08:58",
"content": "think it went the full IBP way",
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},
{
"id": 953444848168493200,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:09:25",
"content": "yeah thats different from what i got then",
"attachments": [],
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},
{
"id": 953444933128294400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:09:46",
"content": "and clearly not by just a constant",
"attachments": [],
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{
"id": 953445053169274900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "03/15/2022 20:10:14",
"content": "Fun fact: sometimes that constant difference is very hard to spot and 2 expressions are both correct even though they look significantly different",
"attachments": [],
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},
{
"id": 953445144835797000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:10:36",
"content": "true",
"attachments": [],
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"reference": null
},
{
"id": 953445377217032300,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:11:32",
"content": "but im not sure what i did wrong",
"attachments": [],
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},
{
"id": 953445532653740000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:12:09",
"content": "i could have done 1/x(1/3)x^3 instead",
"attachments": [],
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},
{
"id": 953445592976195600,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "03/15/2022 20:12:23",
"content": "but x^3/x = x^2",
"attachments": [],
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},
{
"id": 953449368571224000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 20:27:23",
"content": "@potato Has your question been resolved?",
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"id": 953449519520051200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/15/2022 20:27:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | ce0c758de4c34d81af4e7d44cbc14d30 |
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