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200,965 | [
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"id": 1036369388414181500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 16:01:57",
"content": "Available help channel!",
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},
{
"id": 1036369427622543400,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:02:06",
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"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 16:02:07",
"content": "Pinned a message.",
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"id": 1036369516223017000,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:02:27",
"content": "is there a symbol I should be using to go from the previous line to the next when writing out the equations?",
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"id": 1036369614185185400,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:02:50",
"content": "line an arrow or something",
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{
"id": 1036369621164503200,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:02:52",
"content": "->",
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{
"id": 1036369734196809900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/30/2022 16:03:19",
"content": "unnecessary",
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"id": 1036369750617489500,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:03:23",
"content": "nice",
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{
"id": 1036369753893244900,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:03:24",
"content": "thanks",
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},
{
"id": 1036369757135446000,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:03:24",
"content": ".close",
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"id": 1036369759853367400,
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"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 16:03:25",
"content": "Channel closed",
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] | help-9 | ac9d9dbaeb8a4af6b621993a435f875e |
200,966 | [
{
"id": 1067132808927125600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 12:24:48",
"content": "Available help channel!",
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{
"id": 1067134367652130800,
"author_id": 527580926738300900,
"author_name": "dan.12",
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"timestamp": "01/23/2023 12:31:00",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 12:35:20",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1067135559304233000,
"author_id": 527580926738300900,
"author_name": "dan.12",
"timestamp": "01/23/2023 12:35:43",
"content": "Stuck how to find range and domain of f^-1 when a>0",
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{
"id": 1067135586793689200,
"author_id": 527580926738300900,
"author_name": "dan.12",
"timestamp": "01/23/2023 12:35:50",
"content": "X>0**",
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{
"id": 1067135889488220300,
"author_id": 527580926738300900,
"author_name": "dan.12",
"timestamp": "01/23/2023 12:37:02",
"content": "I know the inverse but unsure on on domain/range",
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"id": 1067136177934696600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/23/2023 12:38:11",
"content": "assuming this is the correct inverse function, you just need use the fact that square roots of negative numbers are undefined",
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"author_name": "dan.12",
"timestamp": "01/23/2023 12:38:22",
"content": "Ah okay",
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"id": 1067136349339131900,
"author_id": 527580926738300900,
"author_name": "dan.12",
"timestamp": "01/23/2023 12:38:52",
"content": "I think I understand now I missed part of the question",
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"id": 1067140125492002800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 12:53:52",
"content": "@dan.12 Has your question been resolved?",
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"timestamp": "01/23/2023 12:53:59",
"content": "Channel closed",
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] | help-9 | a7d8e680d7cc461a86071f6b5d771a06 |
200,967 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 12:55:00",
"content": "Available help channel!",
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{
"id": 1067140737185103900,
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"author_name": "lordi",
"timestamp": "01/23/2023 12:56:18",
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"timestamp": "01/23/2023 12:56:18",
"content": "Pinned a message.",
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"id": 1067140758873837700,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/23/2023 12:56:23",
"content": "can someone explanme why the third alternative is false",
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{
"id": 1067140811843706900,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/23/2023 12:56:36",
"content": "so why this one is the correct one",
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{
"id": 1067141031017062400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 12:57:28",
"content": "if a is larger than b, then that integral is negative",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 12:57:55",
"content": "$\\int_a^b f(x) \\dd x = -\\int_b^a f(x) \\dd x$ should be one of the properties shown to you at some point",
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{
"id": 1067141156573564900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 12:57:58",
"content": "**Steakanator**",
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"author_name": "everg",
"timestamp": "01/23/2023 12:58:38",
"content": "its not a property, its the definition",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 12:58:58",
"content": "i've seen it presented as a property :catshrug:",
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"id": 1067141452141965400,
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"author_name": "everg",
"timestamp": "01/23/2023 12:59:08",
"content": "oh",
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{
"id": 1067141556223623200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/23/2023 12:59:33",
"content": "think about f(x)=x, a=-1, b=1 (ie, signed area vs area)",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 12:59:47",
"content": "it specifies f(x) is nonnegative",
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{
"id": 1067141628348870800,
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"author_name": "Toby",
"timestamp": "01/23/2023 12:59:50",
"content": "[a,b] is empty if b<a",
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"id": 1067141723244990500,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 13:00:13",
"content": "that doesn't matter?",
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"id": 1067141730442412000,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:00:15",
"content": "yeah",
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"author_name": "lordi",
"timestamp": "01/23/2023 13:00:37",
"content": "you mean y is between f(a) and f(b)",
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"id": 1067141939549458600,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:01:04",
"content": "x in (a,b) makes the statement vacuously true",
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"id": 1067142001377685500,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:01:19",
"content": "since there's nothing in (a,b)",
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"id": 1067142133439541200,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 13:01:51",
"content": "in any case, your example is incorrect because it specifies f(x) >= 0",
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"id": 1067142184148684800,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:02:03",
"content": "they are asking about the third choice",
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"id": 1067142191325139000,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:02:04",
"content": "not the second",
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{
"id": 1067142281175511200,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 13:02:26",
"content": ">can someone explanme why the third alternative is false",
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{
"id": 1067142341791588500,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 13:02:40",
"content": "the third isn't false and they highlighted the second",
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{
"id": 1067142395411583100,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/23/2023 13:02:53",
"content": "so it's thee one about the area of the plane",
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{
"id": 1067142497706451100,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:03:18",
"content": "but i still don't quite get it",
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"id": 1067142522872275100,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "01/23/2023 13:03:24",
"content": "oh wait the question asks for the false one",
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"author_name": "Steakanator",
"timestamp": "01/23/2023 13:03:26",
"content": "nvm carry on",
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"id": 1067142937043030000,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:05:02",
"content": "if f(x) is negative, then the area between the x axis and f gets subtracted",
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"author_name": "Toby",
"timestamp": "01/23/2023 13:05:13",
"content": "ie the integral finds the signed area",
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"id": 1067143052965183500,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:05:30",
"content": "the true area needs that area to get added, ie integral of |f(x)|",
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"id": 1067143403730649100,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:06:54",
"content": "oh ok",
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"id": 1067143487289569400,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/23/2023 13:07:13",
"content": "but still isn't this correct",
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"id": 1067143507229294700,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:07:18",
"content": "it says the same thing",
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"id": 1067143540100051100,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:07:26",
"content": "it doesnt say anything about signs",
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"id": 1067143643275735200,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:07:51",
"content": "it would be correct if it says **signed** area",
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"id": 1067143695901663200,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:08:03",
"content": "right now it means absolute area",
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"id": 1067143774108663800,
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"author_name": "Toby",
"timestamp": "01/23/2023 13:08:22",
"content": "^ is a simple counter example to that choice",
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"id": 1067143814512377900,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:08:31",
"content": "oh ok",
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"id": 1067143819868512400,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:08:33",
"content": "got it",
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"author_name": "lordi",
"timestamp": "01/23/2023 13:08:34",
"content": "thanks a lot",
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"id": 1067143873077465200,
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"author_name": "lordi",
"timestamp": "01/23/2023 13:08:45",
"content": ".close",
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"id": 1067143876047024100,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 13:08:46",
"content": "Channel closed",
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}
] | help-9 | a403402ebd194f6eaea97ca91cb8ee29 |
200,968 | [
{
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"timestamp": "01/23/2023 13:18:38",
"content": "Available help channel!",
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"timestamp": "01/23/2023 13:20:08",
"content": "Pinned a message.",
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"timestamp": "01/23/2023 13:20:08",
"content": "for ii",
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"timestamp": "01/23/2023 13:20:43",
"content": "shouldnt they be 1/9! and 1/11!?",
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"timestamp": "01/23/2023 13:35:43",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "01/23/2023 13:35:50",
"content": "@Helpers",
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{
"id": 1067153888744063100,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/23/2023 13:48:33",
"content": "yes @SA2017",
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"timestamp": "01/23/2023 13:49:25",
"content": "it's should be 1/9! and 1/11!",
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"id": 1067154170450288600,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/23/2023 13:49:41",
"content": "since 2k-1 is always odd whatever k is",
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"id": 1067154284094967900,
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"timestamp": "01/23/2023 13:50:08",
"content": "thanks mehdi",
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"timestamp": "01/23/2023 13:56:33",
"content": ".close",
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"timestamp": "01/23/2023 13:56:34",
"content": "Channel closed",
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}
] | help-9 | 595fb3ace41b4b06875214bbc66006eb |
200,969 | [
{
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"content": "Available help channel!",
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"content": "@Helpers This is what i have done but somehow the answer is 1",
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{
"id": 1067157464073638000,
"author_id": 724588567451533300,
"author_name": "biharihacker",
"timestamp": "01/23/2023 14:02:46",
"content": "So can someone please help me out with this?",
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"author_id": 586880688741941200,
"author_name": "thatkideric",
"timestamp": "01/23/2023 14:03:32",
"content": "which problem",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 14:03:38",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"id": 1067157855263797200,
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"timestamp": "01/23/2023 14:04:19",
"content": "the picture above is the question",
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"author_name": "biharihacker",
"timestamp": "01/23/2023 14:04:27",
"content": "and the icture below is what i have tried",
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"timestamp": "01/23/2023 14:04:29",
"content": "ohh",
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"author_name": "thatkideric",
"timestamp": "01/23/2023 14:05:10",
"content": "Im not sure, @Helpers",
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{
"id": 1067159603915264000,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/23/2023 14:11:16",
"content": "wehen i subtract a + 6d = 1 / 9 from a + 8d = 1/7, I get 2d = 1/7 - 1/9, which gives me d = 1/63",
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"author_name": "biharihacker",
"timestamp": "01/23/2023 14:12:49",
"content": "so we need to substract it",
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"author_name": "biharihacker",
"timestamp": "01/23/2023 14:13:16",
"content": "alright",
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"id": 1067160112575295600,
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"author_name": "biharihacker",
"timestamp": "01/23/2023 14:13:17",
"content": "thank you",
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},
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"id": 1067160130816315400,
"author_id": 724588567451533300,
"author_name": "biharihacker",
"timestamp": "01/23/2023 14:13:22",
"content": "@ThM",
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"author_name": "ThM",
"timestamp": "01/23/2023 14:14:42",
"content": "just to be clear. subtraction is one possibility. there are many ways you could do it. yours is also fine, but i think you made some mistake in the calculation. but normally it should also work.",
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"timestamp": "01/23/2023 14:15:18",
"content": "Alright",
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"author_name": "biharihacker",
"timestamp": "01/23/2023 14:15:28",
"content": "I will try and find the mistake",
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},
{
"id": 1067160718731919400,
"author_id": 704213466193592300,
"author_name": "McMystix",
"timestamp": "01/23/2023 14:15:42",
"content": "9a= **1-** 54d",
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"author_name": "McMystix",
"timestamp": "01/23/2023 14:15:51",
"content": "not -54d",
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},
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"id": 1067160924139573200,
"author_id": 724588567451533300,
"author_name": "biharihacker",
"timestamp": "01/23/2023 14:16:31",
"content": "ohhhhh yessss",
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"author_id": 724588567451533300,
"author_name": "biharihacker",
"timestamp": "01/23/2023 14:16:38",
"content": "THANKS A LOT BRO",
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},
{
"id": 1067160991764328600,
"author_id": 724588567451533300,
"author_name": "biharihacker",
"timestamp": "01/23/2023 14:16:47",
"content": "I WAS WONDERING OVER IT FOR SO LONG",
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},
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"timestamp": "01/23/2023 14:31:47",
"content": "@biharihacker Has your question been resolved?",
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"timestamp": "01/23/2023 14:46:48",
"content": "Channel closed",
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}
] | help-9 | be3fc5138905488e8a8ee9d18031f26f |
200,970 | [
{
"id": 1067170930788417700,
"author_id": 805217272087838700,
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"timestamp": "01/23/2023 14:56:16",
"content": "Available help channel!",
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},
{
"id": 1067171774082580500,
"author_id": 367763418171834400,
"author_name": "Kyriakum",
"timestamp": "01/23/2023 14:59:38",
"content": "A != 0 quadratic matrix such that A^n = 0 for n>1 . Show that A is not diagonalizable",
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"content": "Pinned a message.",
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{
"id": 1067171981000187900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/23/2023 15:00:27",
"content": "what can the eigenvalues of A be",
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},
{
"id": 1067172142975828000,
"author_id": 367763418171834400,
"author_name": "Kyriakum",
"timestamp": "01/23/2023 15:01:05",
"content": "All the info is what I wrote. I guess we can figure out if an eigenvalue is 0 by what is given to us. I just dont know how to get there",
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"id": 1067172290858602600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/23/2023 15:01:41",
"content": "from the eigenvalues of A, do you know something about the eigenvalues of A^n ?",
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},
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"id": 1067172363315195900,
"author_id": 367763418171834400,
"author_name": "Kyriakum",
"timestamp": "01/23/2023 15:01:58",
"content": "Nope. All the info I have is what I wrote",
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{
"id": 1067172527698346000,
"author_id": 132304137583984640,
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"timestamp": "01/23/2023 15:02:37",
"content": "ok",
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},
{
"id": 1067172575144317000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/23/2023 15:02:49",
"content": "show that if lambda is an eigenvalue of A, then lambda^k is an eigenvalue of A^k for any k",
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},
{
"id": 1067172604642857100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/23/2023 15:02:56",
"content": "for any quadratic matrix A",
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"timestamp": "01/23/2023 15:16:58",
"content": "@Kyriakum Has your question been resolved?",
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"timestamp": "01/23/2023 15:31:59",
"content": "Channel closed",
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}
] | help-9 | f42400c545934963ba4dc998b5fe7cf2 |
200,971 | [
{
"id": 1067180169019785300,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 15:32:59",
"content": "Available help channel!",
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"id": 1067181169168351200,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/23/2023 15:36:57",
"content": "https://i.gyazo.com/5355e66bd9ded561d5c6ae0c370ad9d8.png",
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"id": 1067181171672371200,
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"content": "Pinned a message.",
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"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/23/2023 15:37:10",
"content": "So I think I got quite far on this one",
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},
{
"id": 1067181305709744100,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/23/2023 15:37:30",
"content": "But im not sure what ive written is right",
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},
{
"id": 1067181395807580200,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/23/2023 15:37:52",
"content": "like im a little confused about what they mean by a 'careful' argument but anyway this is what I got:",
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{
"id": 1067181988143968400,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/23/2023 15:40:13",
"content": "\"So say that ¬(∀xP(x)) is true, that means that some entity 'a' in 'P(a)' is false. For P(a) to be false that means ¬P(a) is true, which but implication means ∃x(¬P(x)) is true. Therefore ¬(∀xP(x)) ≡ ∃x(¬P(x))\"",
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"timestamp": "01/23/2023 15:55:13",
"content": "@Odie Has your question been resolved?",
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"timestamp": "01/23/2023 16:25:56",
"content": "@Odie Has your question been resolved?",
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"timestamp": "01/23/2023 16:55:45",
"content": ".close",
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"id": 1067201000814952600,
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"content": "Channel closed",
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] | help-9 | 9112b846eb6b460fb1242021266a5688 |
200,972 | [
{
"id": 1067201253161050100,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 16:56:46",
"content": "Available help channel!",
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},
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"id": 1067201527258824800,
"author_id": 330215902081712100,
"author_name": "KrazyKlake",
"timestamp": "01/23/2023 16:57:51",
"content": "hello, i am confused about them both, first one one is true and the other is false, so which do i pick? and then for the second one, january part is false, but the if and only is confusing",
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"id": 1067201529469227100,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 16:57:52",
"content": "Pinned a message.",
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"id": 1067202018302755000,
"author_id": 937069242535272400,
"author_name": "Bono my tires are gone",
"timestamp": "01/23/2023 16:59:48",
"content": "We can see that the first part is made up of two statements\np: 2+5=7\nq: 3 is even.\nAs you can see both of them is connected by OR. So what we can do is use the truth table for OR operator and see which one the required answer.",
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"author_name": "Bono my tires are gone",
"timestamp": "01/23/2023 17:00:59",
"content": "The second statement is a biconditional.",
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"author_name": "KrazyKlake",
"timestamp": "01/23/2023 17:02:45",
"content": "ok i understand the first one, but the second one a biconditional? what does that mean? is the truth value unkown?",
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"id": 1067204570205405300,
"author_id": 937069242535272400,
"author_name": "Bono my tires are gone",
"timestamp": "01/23/2023 17:09:57",
"content": "A biconditional is true when both the statements are true and false for every other case.",
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"author_name": "KrazyKlake",
"timestamp": "01/23/2023 17:10:14",
"content": "ohhhhhhhhh okay i gotcha, i get it now thank you",
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"author_id": 937069242535272400,
"author_name": "Bono my tires are gone",
"timestamp": "01/23/2023 17:10:15",
"content": "You can rewrite biconditional in terms of operators.",
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"author_id": 330215902081712100,
"author_name": "KrazyKlake",
"timestamp": "01/23/2023 17:14:24",
"content": ".close",
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},
{
"id": 1067205697617547300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 17:14:26",
"content": "Channel closed",
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}
] | help-9 | 731359ce42ef48ec834c118e7fb094e8 |
200,973 | [
{
"id": 1067205948176875600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 17:15:25",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1067207353172250600,
"author_id": 630196845716439000,
"author_name": "GhostRider",
"timestamp": "01/23/2023 17:21:00",
"content": "Why is this true? If the minimal polynomial m(x) of some matrix A divides x^n - 1 in C[x], then m(x) also has n distinct roots in C[x]",
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},
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"id": 1067207355235836000,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 17:21:01",
"content": "Pinned a message.",
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"id": 1067207544092758000,
"author_id": 630196845716439000,
"author_name": "GhostRider",
"timestamp": "01/23/2023 17:21:46",
"content": "C here is the complex numbers",
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},
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"id": 1067208013850624000,
"author_id": 630196845716439000,
"author_name": "GhostRider",
"timestamp": "01/23/2023 17:23:38",
"content": "Wait, actually I think this is not true",
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},
{
"id": 1067208259062202500,
"author_id": 630196845716439000,
"author_name": "GhostRider",
"timestamp": "01/23/2023 17:24:36",
"content": "Nvm I don't need this to be true for my proof anyway",
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},
{
"id": 1067208265307525200,
"author_id": 630196845716439000,
"author_name": "GhostRider",
"timestamp": "01/23/2023 17:24:38",
"content": ".close",
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},
{
"id": 1067208267882823800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 17:24:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | b7bd334fa916421fa0ebb2c80a1a591e |
200,974 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 17:31:03",
"content": "Available help channel!",
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},
{
"id": 1067211394593853400,
"author_id": 630217178469105700,
"author_name": "Envyy",
"timestamp": "01/23/2023 17:37:04",
"content": "would this be correct",
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"timestamp": "01/23/2023 17:37:04",
"content": "Pinned a message.",
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"timestamp": "01/23/2023 17:52:04",
"content": "@Envyy Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | b17e0deb57aa4a9da44c2871403118a2 |
200,975 | [
{
"id": 1067227885984813000,
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 18:42:36",
"content": "Available help channel!",
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{
"id": 1067228133146763400,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "01/23/2023 18:43:35",
"content": "why is $R^n$ and $\\emptyset$ both open and closed sets",
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},
{
"id": 1067228137966010500,
"author_id": 805217272087838700,
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"timestamp": "01/23/2023 18:43:36",
"content": "Pinned a message.",
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "01/23/2023 18:44:09",
"content": "Do you mean $\\bR^n$?",
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{
"id": 1067228296040955900,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "01/23/2023 18:44:13",
"content": "yes",
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},
{
"id": 1067228330782363800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 18:44:22",
"content": "**KN**",
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"author_name": "TeXit",
"timestamp": "01/23/2023 18:44:22",
"content": "**giannis\\_money**",
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"author_name": "giannis_money",
"timestamp": "01/23/2023 18:44:53",
"content": "They are open and closed wrt R^n",
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"id": 1067228490807652400,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "01/23/2023 18:45:00",
"content": "By definition of open and closed",
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"id": 1067229334697431200,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "01/23/2023 18:48:21",
"content": "hm i see",
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"id": 1067229355002052700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "01/23/2023 18:48:26",
"content": "tyty",
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{
"id": 1067229687144775700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "01/23/2023 18:49:45",
"content": ".close",
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},
{
"id": 1067229689808179200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 18:49:46",
"content": "Channel closed",
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}
] | help-9 | 238b16deccd147a4890eff23a08925a0 |
200,976 | [
{
"id": 1036369784448749700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/30/2022 16:03:31",
"content": "the implication is implied",
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},
{
"id": 1036369867248500900,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:03:51",
"content": "so as long as the order is logical its up the reader ?",
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},
{
"id": 1036369894293381100,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:03:57",
"content": "as in I shouldnt point people around the page",
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},
{
"id": 1036369918691639400,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:04:03",
"content": "and treat them like an idiot",
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},
{
"id": 1036370084794474600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/30/2022 16:04:43",
"content": "depends on how messy and/or how well you structure your work",
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},
{
"id": 1036370176364511400,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:05:04",
"content": "cool, do you mind if once I have it all typed up I come back here and ping you with the full thing and you could quickly scan through it ?",
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},
{
"id": 1036370221474250800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:05:15",
"content": "not checking the maths or anything just the layout or whatever",
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},
{
"id": 1036370326268956700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/30/2022 16:05:40",
"content": "someone else can check, I might not be here",
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},
{
"id": 1036370351850012800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:05:46",
"content": "cool",
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},
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"id": 1036370356967047300,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "10/30/2022 16:05:47",
"content": "thanks again",
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},
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"id": 1036371959069561000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 16:12:09",
"content": "Available help channel!",
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},
{
"id": 1036372147620286600,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:12:54",
"content": "A plane is flying away from a control tower. At a certain point in time the plane is 200 km/ away from it and flies with a speed of 800km/h and with a positive acceleration of 20km/h^2. The plane type does not allow for more then a +- 120km/h^3 change of acceleration.\nlet f(t) be the distance away from the control tower, measured in km, after the point in time. what can we say about f(t)?",
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"id": 1036372150606635000,
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"timestamp": "10/30/2022 16:12:55",
"content": "Pinned a message.",
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"content": "",
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"id": 1036372251555143700,
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"author_name": "Eleanor",
"timestamp": "10/30/2022 16:13:19",
"content": "this is a multiple choice question and i think its 10 but i feel like ive come to that conclusion for the wrong reason",
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"timestamp": "10/30/2022 16:28:19",
"content": "@Eleanor Has your question been resolved?",
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"id": 1036379272480297100,
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"author_name": "Eleanor",
"timestamp": "10/30/2022 16:41:13",
"content": "@Helpers",
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},
{
"id": 1036381124009664600,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:48:34",
"content": "Why do you think it's 10",
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{
"id": 1036381457637191700,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:49:54",
"content": "i think f(t) based on info gotta be atleast 200+800t+20^2 on both sides so i eliminated those that didnt fit that",
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"id": 1036381530043465700,
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"author_name": "Eleanor",
"timestamp": "10/30/2022 16:50:11",
"content": "and guessed a little tbh",
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"id": 1036381913402843300,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:51:43",
"content": "so im fairly certain im incorrect but i have no idea where to begin, another person said i should use taylor lagrange inequality but thats not on my assigned reading material nor lectures",
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},
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"id": 1036382123415838700,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:52:33",
"content": "No",
"attachments": [],
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{
"id": 1036382151685455900,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:52:40",
"content": "How did you get rhat",
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},
{
"id": 1036382218454585300,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:52:55",
"content": "It'll actually be 10t^2 not 20",
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},
{
"id": 1036382222778900600,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:52:56",
"content": "honestly not much thought behind it",
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"mentions": [],
"reference": null
},
{
"id": 1036382293897510900,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:53:13",
"content": "Ok so",
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},
{
"id": 1036382355557994600,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:53:28",
"content": "The minimum distance it can travel",
"attachments": [],
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},
{
"id": 1036382427255406700,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:53:45",
"content": "Will be when jerk is constantly -120",
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},
{
"id": 1036382439385354400,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:53:48",
"content": "Right?",
"attachments": [],
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},
{
"id": 1036382473388576800,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:53:56",
"content": "yeah",
"attachments": [],
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},
{
"id": 1036382530334621700,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:54:10",
"content": "Do u know the equations of motion for constant jerk",
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},
{
"id": 1036382628418425000,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:54:33",
"content": "yes",
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"id": 1036382673700134900,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:54:44",
"content": "What the equation for displacement",
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"id": 1036382762271256700,
"author_id": 699462522247446700,
"author_name": "Maximus Laurie",
"timestamp": "10/30/2022 16:55:05",
"content": "dont call people jerk",
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"id": 1036382824837689300,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:55:20",
"content": "What",
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"id": 1036382856039104500,
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"author_name": "fate.",
"timestamp": "10/30/2022 16:55:27",
"content": "Jerk is rate of change of acceleration",
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"id": 1036383112495640700,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:56:29",
"content": "jerk is 1/2jt^2",
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},
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"id": 1036383314908549200,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 16:57:17",
"content": "How",
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"id": 1036383602964963300,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:58:26",
"content": "its just what recall recall sorry if it wrong",
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"id": 1036383792966934500,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 16:59:11",
"content": "or the derivate of acceleration",
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"id": 1036384186635927600,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 17:00:45",
"content": "To be completely honest idk a lot about jerk but Ik it's the derivative of acc and that's all we need to know here I think",
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"id": 1036384366336680100,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 17:01:28",
"content": "iirc \nx=ut+(1/2)at^2+(1/6)jt^3",
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"id": 1036385397296599200,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 17:05:33",
"content": "200+800+10^2 +-20t^3?",
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"id": 1036385680886075400,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 17:06:41",
"content": "Yes",
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"id": 1036385729678422000,
"author_id": 285068166931939330,
"author_name": "fate.",
"timestamp": "10/30/2022 17:06:53",
"content": "If you aren't familiar with this formula",
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"id": 1036385902731210800,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 17:07:34",
"content": "thank you though i really appreciate it ! ❤️",
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},
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"id": 1036385944749756400,
"author_id": 445259992468029440,
"author_name": "Eleanor",
"timestamp": "10/30/2022 17:07:44",
"content": ".close",
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},
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"id": 1036385947526369300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 17:07:45",
"content": "Channel closed",
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] | help-9 | bc121cd46bb044e59e718285dc198394 |
200,977 | [
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"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 18:55:12",
"content": "Available help channel!",
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},
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"id": 1067231697982193700,
"author_id": 291241436622487550,
"author_name": "Rice",
"timestamp": "01/23/2023 18:57:45",
"content": "how would i make t the subject here",
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"timestamp": "01/23/2023 18:57:45",
"content": "Pinned a message.",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/23/2023 18:58:34",
"content": "if you're working on a problem, can you just screenshot/take a picture of the original question",
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"author_name": "Rice",
"timestamp": "01/23/2023 18:58:52",
"content": "this is a made up problem im trying to do ballistic calculation for a game",
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"id": 1067234230469410800,
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"timestamp": "01/23/2023 19:07:48",
"content": "oh, then use newton's method",
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"id": 1067234930993668100,
"author_id": 291241436622487550,
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"timestamp": "01/23/2023 19:10:35",
"content": "newton’s method?",
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"id": 1067235446964371500,
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"timestamp": "01/23/2023 19:12:38",
"content": "your t is transcendental, so you need numerical methods to find it",
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"timestamp": "01/23/2023 19:13:39",
"content": "huh ok",
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"timestamp": "01/23/2023 19:13:52",
"content": "i’ll figure something out",
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"timestamp": "01/23/2023 19:13:54",
"content": "thx",
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"id": 1067235776078819300,
"author_id": 291241436622487550,
"author_name": "Rice",
"timestamp": "01/23/2023 19:13:57",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Channel closed",
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}
] | help-9 | d5ce44078f944b53addc8ff92bc56e3c |
200,978 | [
{
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"author_id": 805217272087838700,
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"timestamp": "01/23/2023 19:14:58",
"content": "Available help channel!",
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"id": 1067236376241774700,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:16:20",
"content": "are there parentheses in the quadratic formula? i know that after the big V, (B)^2 (i hope ^ is exposant) is in parenthesis. the part that confuses me is the -4xAxC. Is it that? or is it - (4xAxC)",
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"timestamp": "01/23/2023 19:16:20",
"content": "Pinned a message.",
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"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:17:02",
"content": "also can you use standard trig soh cah toa if it isnt there isnt a 90degree angle? i know the laws of sin work, but unsure about just normal sin",
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"id": 1067236692123193300,
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"timestamp": "01/23/2023 19:17:35",
"content": "you should imagine invisible parentheses around every variable",
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"timestamp": "01/23/2023 19:17:48",
"content": "e.g. if A, B, and C are numbers, ABC = (A)(B)(C)",
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"timestamp": "01/23/2023 19:17:54",
"content": "i see",
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"id": 1067236779964518500,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:17:56",
"content": "what about the 4?",
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"id": 1067236814294876200,
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"author_name": "riemann",
"timestamp": "01/23/2023 19:18:04",
"content": "not necessary for the 4",
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"id": 1067237030255399000,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:18:56",
"content": "alright, so if i do the mutlipcations and i get lets say V17 (19) since the minus is gone it just turns into an addition?",
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"id": 1067237269750169700,
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"timestamp": "01/23/2023 19:19:53",
"content": "should show the whole problem",
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"id": 1067237362993737900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/23/2023 19:20:15",
"content": "$\\sqrt{17+19}$?",
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"id": 1067237413941936100,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:20:27",
"content": "ill send a pic",
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"id": 1067237416110407800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 19:20:28",
"content": "**riemann**",
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"timestamp": "01/23/2023 19:20:47",
"content": "i believe so since when you go in for the multiplication you count the negative sign in front of the 4",
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"timestamp": "01/23/2023 19:22:05",
"content": "if you go to one of the help chanels without a name",
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"timestamp": "01/23/2023 19:22:13",
"content": "and type that you should get a dedicated channel",
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"id": 1067237920978780300,
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"timestamp": "01/23/2023 19:22:28",
"content": "!help",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/23/2023 19:22:28",
"content": "Please read #❓how-to-get-help",
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"id": 1067238022619349100,
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"timestamp": "01/23/2023 19:22:52",
"content": "can you write down what you mean?",
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"timestamp": "01/23/2023 19:23:28",
"content": "im sending a pic, sorry",
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"id": 1067238178261569500,
"author_id": 510923687684341760,
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"timestamp": "01/23/2023 19:23:30",
"content": "one sec",
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"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:24:34",
"content": "please excuse my terrible handwriting",
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"timestamp": "01/23/2023 19:25:11",
"content": "",
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"timestamp": "01/23/2023 19:26:00",
"content": "@riemann",
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"timestamp": "01/23/2023 19:26:36",
"content": "the primary part thats confusing me is whether or not the negative before the 4 belongs within the parentheses",
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"timestamp": "01/23/2023 19:26:41",
"content": "that's wrong",
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"timestamp": "01/23/2023 19:26:53",
"content": "if u put the negative inside the bracket",
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"id": 1067239048403505300,
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"timestamp": "01/23/2023 19:26:57",
"content": "then there's a + sign outside",
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"id": 1067239054170673200,
"author_id": 510923687684341760,
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"timestamp": "01/23/2023 19:26:58",
"content": "so it goes outside>",
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"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:27:15",
"content": "so its always -(4...) never (-4...)",
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"id": 1067239375617929200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:28:15",
"content": "$\\frac{b\\pm \\sqrt{b^2-4ac}}{2a}$",
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"id": 1067239386925772900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 19:28:18",
"content": "**Frosst**",
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"id": 1067239410392911900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:28:23",
"content": "this is the formula right?",
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"id": 1067239439522349000,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:28:30",
"content": "yup",
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"id": 1067239599295975400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:29:08",
"content": "$\\frac{b\\pm \\sqrt{((b)^2+(-1)\\cdot(4)\\cdot(a)\\cdot(c))}}{2\\cdot(a)}$",
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"timestamp": "01/23/2023 19:29:11",
"content": "**Frosst**",
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"timestamp": "01/23/2023 19:29:38",
"content": "i see",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:29:39",
"content": "does that make it clearer?",
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"id": 1067239744662163500,
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"timestamp": "01/23/2023 19:29:43",
"content": "yup",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:29:46",
"content": "the - sign is actually a + sign",
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"timestamp": "01/23/2023 19:29:53",
"content": "but with a *-1 on the next term",
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:30:04",
"content": "so it cancels out and just turns it to the opposite sign",
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"timestamp": "01/23/2023 19:30:20",
"content": "$a-b = a + (-1\\cdot b)$",
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"timestamp": "01/23/2023 19:30:22",
"content": "**Frosst**",
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:30:45",
"content": "so when i also go to the the V i also keep it in brackets so if its (-49) it becomes 7?",
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:30:45",
"content": "adding a negative number is the same as subtraction",
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"id": 1067240038963871900,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:30:53",
"content": "based off of the double brackets around everything",
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"timestamp": "01/23/2023 19:31:00",
"content": "if it's -49 inside",
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"timestamp": "01/23/2023 19:31:05",
"content": "you can't square root it",
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"id": 1067240116906635400,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:31:12",
"content": "why not>?",
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"id": 1067240166600741000,
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:31:24",
"content": "because the square root of negative numbers aren't defined for real numbers",
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"id": 1067240212897484900,
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"timestamp": "01/23/2023 19:31:35",
"content": "real numbers being anything on the number line that you know",
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"id": 1067240238352707700,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:31:41",
"content": "so if i end up with a negative number ive done something wrong?",
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"id": 1067240262683861100,
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"timestamp": "01/23/2023 19:31:46",
"content": "not necessarily",
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:31:56",
"content": "you know how some quadratics DON'T cross the x axis?",
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"id": 1067240337841594400,
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"timestamp": "01/23/2023 19:32:04",
"content": "yup",
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"timestamp": "01/23/2023 19:32:15",
"content": "those will have the inside of the square root be negative",
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:32:24",
"content": "as in, at no point on the curve does it cross the x axis",
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"id": 1067240453193351200,
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"timestamp": "01/23/2023 19:32:32",
"content": "that's what the negative square root means",
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:32:52",
"content": "there's also something called the complex plane where you *can* square root negative numbers",
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"timestamp": "01/23/2023 19:33:04",
"content": "it's where you define $i=\\sqrt{-1}$",
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"timestamp": "01/23/2023 19:33:06",
"content": "**Frosst**",
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"timestamp": "01/23/2023 19:33:30",
"content": "in which case if you tried to do $\\sqrt{-49}$ you would get",
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"timestamp": "01/23/2023 19:33:32",
"content": "**Frosst**",
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"timestamp": "01/23/2023 19:33:58",
"content": "$\\sqrt{-49}=\\sqrt{-1}\\cdot \\sqrt{49} = i \\cdot 7 = 7i$",
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"timestamp": "01/23/2023 19:34:07",
"content": "**Frosst**",
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"timestamp": "01/23/2023 19:34:35",
"content": "that's why \"real numbers\"",
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"timestamp": "01/23/2023 19:34:49",
"content": "7i isn't a real number",
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"id": 1067241134407032800,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:14",
"content": "ah",
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"id": 1067241148864811100,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:18",
"content": "i think im still doing something wrong",
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"id": 1067241158171963500,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:20",
"content": "gonna send a pic",
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"id": 1067241252350865500,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:42",
"content": "",
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{
"id": 1067241264132673700,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:45",
"content": "Ignore the square root i put on top of the 221 on the last line",
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{
"id": 1067241280997949600,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:35:49",
"content": "that was by accident",
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{
"id": 1067241360895258600,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:36:08",
"content": "im getting -17 for 17-221 but a websites telling me i should be getting +17",
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"id": 1067241585424748700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:02",
"content": "what's the original quadratic",
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{
"id": 1067241606769553400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:07",
"content": "also i missed a - in my formlua",
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{
"id": 1067241639464157300,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:37:15",
"content": "all good",
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},
{
"id": 1067241653594759200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:18",
"content": "$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$",
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"id": 1067241661979164800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 19:37:20",
"content": "**Frosst**",
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"id": 1067241673710653400,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:37:23",
"content": "is ^times or exposant",
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"id": 1067241711836864500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:32",
"content": "^ is exponent",
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{
"id": 1067241736574881800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:38",
"content": "* is multiply",
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{
"id": 1067241738109980800,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:37:38",
"content": "its 6x^2 + 17x -2023",
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},
{
"id": 1067241792384282600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:37:51",
"content": ",w solve 6x^2 + 17x - 2023",
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"id": 1067241803062968300,
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"author_name": "TeXit",
"timestamp": "01/23/2023 19:37:54",
"content": "Results provided by WolframAlpha",
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},
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"id": 1067241821111075100,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:37:58",
"content": "shit",
"attachments": [],
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},
{
"id": 1067241965487407100,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:38:32",
"content": "the only spot where i could of gone wrong is in the V",
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},
{
"id": 1067242048274563100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:38:52",
"content": ",w solve 17^2-4*6*-2023",
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"id": 1067242056692547600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 19:38:54",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1067242166730100900,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:39:20",
"content": "i also got that...",
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},
{
"id": 1067242173742977000,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:39:22",
"content": "weird",
"attachments": [],
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"reference": null
},
{
"id": 1067242250859450400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:39:41",
"content": ",calc sqrt(48841)",
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},
{
"id": 1067242252553961600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/23/2023 19:39:41",
"content": "Result:\n```\n221\n```",
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},
{
"id": 1067242277044506600,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:39:47",
"content": "im doing 17-221",
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},
{
"id": 1067242285143687300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:39:49",
"content": "firstly",
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{
"id": 1067242297789530200,
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:39:52",
"content": "it should be -",
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{
"id": 1067242305574150100,
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"timestamp": "01/23/2023 19:39:54",
"content": "at the front",
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"id": 1067242322787573800,
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:39:58",
"content": ".",
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"id": 1067242346669932500,
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:40:03",
"content": "i missed it in my formula that's my bad",
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"id": 1067242378315960400,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:40:11",
"content": "what should be at the front>?",
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"id": 1067242483530084400,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:40:36",
"content": "i think i know where im going wrong, im doing 17 - 221 for +-, shouldnt it be 221-17 instead?",
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"id": 1067242521006194700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:40:45",
"content": "and secondly",
"attachments": [],
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},
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"id": 1067242523526955000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:40:46",
"content": "see how it says -b±",
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},
{
"id": 1067242525213073400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:40:46",
"content": "i wrote b± the first time round",
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"timestamp": "01/23/2023 19:40:46",
"content": "this is wrong",
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"id": 1067242575813152900,
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"timestamp": "01/23/2023 19:40:58",
"content": "it should be -17 ± 221",
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"id": 1067242584486977700,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:41:00",
"content": "ah, im just missing the - sign",
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"id": 1067242599607435300,
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"author_name": "Frosst",
"timestamp": "01/23/2023 19:41:04",
"content": "yeah",
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"id": 1067242606326718600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:41:05",
"content": "the other thing is",
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"id": 1067242619043844100,
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"timestamp": "01/23/2023 19:41:08",
"content": "well 2 things",
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{
"id": 1067242622114070500,
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"author_name": "Vexero",
"timestamp": "01/23/2023 19:41:09",
"content": "gotta memorize the formula, i was going off my head",
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"id": 1067242750375895200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:41:40",
"content": "1. don't remove the bottom of the fraction in your working out\n2. you evaluated the square root but the square root sign didn't go away",
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"id": 1067242842977730700,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:42:02",
"content": "gotcha",
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"id": 1067242975454842900,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:42:33",
"content": "quick question, in trig, can i use sin cos and tan if theres no 90 degree angle? or do i need to draw one thru the apex first",
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"id": 1067243473570385900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/23/2023 19:44:32",
"content": "sin cos tan in regards to the adjacent opposite hypotenuse ONLY WORKS for right angled triangles",
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"id": 1067243532294824100,
"author_id": 244390699431100400,
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"timestamp": "01/23/2023 19:44:46",
"content": "but those trig functions have uses outside of right angled triangles as well",
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"author_id": 510923687684341760,
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"timestamp": "01/23/2023 19:45:25",
"content": "alright, gotcha, thanks",
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"id": 1067244114128678900,
"author_id": 510923687684341760,
"author_name": "Vexero",
"timestamp": "01/23/2023 19:47:05",
"content": ".close",
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},
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"id": 1067244118033576000,
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"content": "Channel closed",
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}
] | help-9 | 780f18bb770e423687caead9c9adedd3 |
200,979 | [
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "i’ve looked on youtube and there aren’t any videos on negative scale factor fraction, I have no idea where to start",
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"content": "@dais Has your question been resolved?",
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"content": "@dais Has your question been resolved?",
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] | help-9 | c4343ac4fa2040c9b71ca5d8c74d9205 |
200,980 | [
{
"id": 1067288002956628000,
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"content": "Available help channel!",
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"id": 1067290015148810200,
"author_id": 280043284368326660,
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"content": "i dont understand",
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"id": 1067290073831313400,
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"author_name": "samo",
"timestamp": "01/23/2023 22:49:42",
"content": "this explanation",
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},
{
"id": 1067290110489538600,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:49:51",
"content": "wat do u nt understand....",
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},
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"id": 1067290133428179100,
"author_id": 280043284368326660,
"author_name": "samo",
"timestamp": "01/23/2023 22:49:57",
"content": "how does it go from 5x to 4x",
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},
{
"id": 1067290165392978000,
"author_id": 280043284368326660,
"author_name": "samo",
"timestamp": "01/23/2023 22:50:04",
"content": "nvm",
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},
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"id": 1067290314861195300,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:50:40",
"content": "....",
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},
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"id": 1067290342291947600,
"author_id": 280043284368326660,
"author_name": "samo",
"timestamp": "01/23/2023 22:50:46",
"content": "i wrote it incorrectly",
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"id": 1067290353784336400,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:50:49",
"content": "5x - x = 4x",
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},
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"id": 1067290355264934000,
"author_id": 280043284368326660,
"author_name": "samo",
"timestamp": "01/23/2023 22:50:49",
"content": "lmaoo",
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},
{
"id": 1067290360264532000,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:50:51",
"content": "ok",
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},
{
"id": 1067290378304237600,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:50:55",
"content": "so uh clear ig?",
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"id": 1067290405823053800,
"author_id": 280043284368326660,
"author_name": "samo",
"timestamp": "01/23/2023 22:51:02",
"content": "yeah ty !",
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"id": 1067290454946762800,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/23/2023 22:51:13",
"content": "alr gl",
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"id": 1067290456259575800,
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"author_name": "samo",
"timestamp": "01/23/2023 22:51:14",
"content": ".close",
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},
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"id": 1067290458969079800,
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"timestamp": "01/23/2023 22:51:14",
"content": "Channel closed",
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}
] | help-9 | 854f71ca791a4c11872f37400c267df1 |
200,981 | [
{
"id": 1067300237149995100,
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"timestamp": "01/23/2023 23:30:06",
"content": "Available help channel!",
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"id": 1067300443916603500,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:30:55",
"content": "Dude how do i solve integrals that the terms inside are multiplying",
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"id": 1067300547180376000,
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"timestamp": "01/23/2023 23:31:19",
"content": "like this",
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"id": 1067300605590249500,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:31:33",
"content": "with u substitution",
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"id": 1067300639333417000,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:31:41",
"content": "u =4x",
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"id": 1067300671994474600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/23/2023 23:31:49",
"content": "No",
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"id": 1067300703162355700,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:31:57",
"content": "huh",
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"id": 1067300730530189300,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:32:03",
"content": "please explain",
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"id": 1067300764952826000,
"author_id": 396406192504832000,
"author_name": "ASH",
"timestamp": "01/23/2023 23:32:11",
"content": "why would u not be 4x",
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"id": 1067300880736592000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/23/2023 23:32:39",
"content": "since the derivative of sin is cos, you want to make it in terms of one of them, so you let u=sin4x",
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"author_name": "GarlicBredFries",
"timestamp": "01/23/2023 23:33:07",
"content": "Or you could use double angle identity and avoid this problem",
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"id": 1067301094604153000,
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"author_name": "ASH",
"timestamp": "01/23/2023 23:33:30",
"content": "what double angle identity",
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"timestamp": "01/23/2023 23:48:30",
"content": "@ASH Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | c782d0e2e5c9403a9224166a44dbbdb7 |
200,982 | [
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"id": 1067309683586629800,
"author_id": 817643515697561600,
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"timestamp": "01/24/2023 00:07:38",
"content": "Hello, I’m not sure why the homogeneous relation is Ca^n.",
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"content": "This section is in context part of a differential equation chapter. I know k must be zero for the homogeneous solution but that leaves u_n+1 = au_n",
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"content": "Channel closed",
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] | help-9 | 1829833b4a7545bfa7f107262741410b |
200,983 | [
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"timestamp": "01/24/2023 01:40:23",
"content": "Is this correct",
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"timestamp": "01/24/2023 01:55:23",
"content": "@BigChungus Has your question been resolved?",
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"timestamp": "01/24/2023 01:55:49",
"content": "@Helpers",
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{
"id": 1067338306070794200,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:01:22",
"content": "the first one is incorrect",
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"id": 1067338346948481000,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:01:32",
"content": "me see the rest",
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"id": 1067338601244926000,
"author_id": 778693172321976300,
"author_name": "BigChungus",
"timestamp": "01/24/2023 02:02:32",
"content": "oki",
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"id": 1067338603983818800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "01/24/2023 02:02:33",
"content": "https://www.mathwarehouse.com/geometry/triangles/angles/images/picture-of-remote-and-interior-angles-of-triangle-v2.webp",
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},
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"id": 1067338882632392700,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:03:39",
"content": "3rd incorrect",
"attachments": [],
"mentions": [
{
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"name": "BigChungus",
"discriminator": "8983",
"nickname": "BigChungus",
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"id": 1067338902479839200,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:03:44",
"content": "5th",
"attachments": [],
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},
{
"id": 1067338910511923200,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:03:46",
"content": "correct",
"attachments": [],
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},
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"id": 1067339596481966100,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:06:30",
"content": "7th incorrect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067339734076108800,
"author_id": 824289132259835900,
"author_name": "Sans <3",
"timestamp": "01/24/2023 02:07:02",
"content": "9th incorrect 🤡",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067340004126367700,
"author_id": 778693172321976300,
"author_name": "BigChungus",
"timestamp": "01/24/2023 02:08:07",
"content": "💀",
"attachments": [],
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},
{
"id": 1067340038624530400,
"author_id": 778693172321976300,
"author_name": "BigChungus",
"timestamp": "01/24/2023 02:08:15",
"content": "bruh my stupid ahh",
"attachments": [],
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},
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"id": 1067347589936205800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 02:38:15",
"content": "@BigChungus Has your question been resolved?",
"attachments": [],
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"id": 1067347640599183400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 02:38:27",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 8e03407003ca4e14b54df8a58f5c2087 |
200,984 | [
{
"id": 1067347893775769600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 02:39:28",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1067348061401137200,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:40:08",
"content": "what are onto and into function ?",
"attachments": [],
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},
{
"id": 1067348063326306300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 02:40:08",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1067348061401137200,
"channelId": 486844875632017400,
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}
},
{
"id": 1067348659370467300,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:42:30",
"content": "\"Onto\" (also sometimes called surjective) means that every possible output value is hit. Into (which I haven't actually seen used very often) means, if I am remembering correctly, that there is at least one possible output value that is not actually hit by the function for any input",
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},
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"id": 1067349053903474700,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:44:04",
"content": "no no",
"attachments": [],
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},
{
"id": 1067349108450410500,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:44:17",
"content": "1 range has 2 domains",
"attachments": [],
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},
{
"id": 1067349156840091600,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:44:29",
"content": "that means that the function is not one-to-one",
"attachments": [],
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},
{
"id": 1067349357105532900,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:45:17",
"content": "and what does bijective function mean ?",
"attachments": [],
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},
{
"id": 1067349553180835800,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:46:03",
"content": "A bijective function is both onto (surjective) and one-to-one (injective)",
"attachments": [],
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},
{
"id": 1067349627352911900,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:46:21",
"content": "are into and one to one function same ?",
"attachments": [],
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},
{
"id": 1067349820504805500,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:47:07",
"content": "Not exactly. Into just means not onto, whereas one-to-one means that every value in the range corresponds to exactly one value in the domain",
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},
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"id": 1067350061123633300,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:48:04",
"content": "to be onto range should be equal to co-domain ?",
"attachments": [],
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},
{
"id": 1067350124516356100,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:48:20",
"content": "Yup!",
"attachments": [],
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},
{
"id": 1067350295169994800,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:49:00",
"content": "and to be into all the elements in range shouldn't be co domain",
"attachments": [],
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},
{
"id": 1067350363314856000,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:49:17",
"content": "Right, at least one element of the co-domain is not in the range.",
"attachments": [],
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},
{
"id": 1067350681205342200,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:50:32",
"content": "and what is a inverse function ?",
"attachments": [],
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},
{
"id": 1067351001042006100,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/24/2023 02:51:49",
"content": "An inverse function is one that, essentially, flips the range and domain and the \"arrows\" between elements. Technically, a true inverse function only exists if your original function is bijective.",
"attachments": [],
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},
{
"id": 1067352044320600200,
"author_id": 892476262185062400,
"author_name": "trololol !",
"timestamp": "01/24/2023 02:55:57",
"content": "The \"rigorous\" definition: inverse of $f \\colon A \\to B$ is a function $g \\colon B \\to A$ such that $\\forall x \\in A, g(f(x)) = x$, and $\\forall x \\in B, f(g(x)) = x$.\n\nIntuitively, however, the inverse of a function can be seen as a function which \"undoes\" what the previous function did. For example, if we have a function $f(x) = x + 2$, its inverse would be $f(x) = x - 2$, because subtracting the number two undoes what adding the number two did.\n\nAnd yes, a function has an inverse if and only if it is bijective.",
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{
"id": 1067352059088752600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/24/2023 02:56:01",
"content": "**trololol !**",
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"id": 1067352284842963000,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:56:55",
"content": "so inverse function gives the image of a pre-image ?",
"attachments": [],
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},
{
"id": 1067352437419167700,
"author_id": 892476262185062400,
"author_name": "trololol !",
"timestamp": "01/24/2023 02:57:31",
"content": "The inverse of a function takes an image of that function and gives the corresponding pre-image.",
"attachments": [],
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},
{
"id": 1067352551139328000,
"author_id": 873069028552364000,
"author_name": "dark_spark",
"timestamp": "01/24/2023 02:57:58",
"content": ".close",
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},
{
"id": 1067352553446195200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 02:57:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 24611ebe9d4a4504be525db096421859 |
200,985 | [
{
"id": 1067356958291669100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 03:15:29",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1067358190116810800,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:20:23",
"content": "I started with \nj(x) = g^(-1)x\ng(j(x)) = x\ng'(j(x)) * j'(x) = 1\nWhere do I go from here? And is what I have right so far?",
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"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 03:20:23",
"content": "Pinned a message.",
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{
"id": 1067358285944082400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:20:45",
"content": "gonna need some higher resolution on that one chief",
"attachments": [],
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},
{
"id": 1067358341317283800,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:20:59",
"content": "gotchu",
"attachments": [],
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},
{
"id": 1067358650659782700,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:22:12",
"content": "hows this",
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"id": 1067358717651189800,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:22:28",
"content": "might have to open in browser",
"attachments": [],
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},
{
"id": 1067360196747337700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:28:21",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1067360196239818763/image.png",
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{
"id": 1067360311675457500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:28:48",
"content": ">>> j(x) = g^(-1)x\ng(j(x)) = x\ng'(j(x)) * j'(x) = 1",
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},
{
"id": 1067360317681696900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:28:50",
"content": "this is correct",
"attachments": [],
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},
{
"id": 1067360330700828700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:28:53",
"content": "recall now that you want j'(3)",
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},
{
"id": 1067360392952676400,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:29:08",
"content": "right but i dunno how to get there",
"attachments": [],
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},
{
"id": 1067360478331932700,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:29:28",
"content": "i have no clue where to start",
"attachments": [],
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},
{
"id": 1067360844289159300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:30:55",
"content": "you know that g'(j(x)) j'(x) = 1, for all x in the domain of j...",
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},
{
"id": 1067360908432654300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:31:11",
"content": "what number would you want to replace x with in order to learn something about j'(3)?",
"attachments": [],
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},
{
"id": 1067361208044368100,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:32:22",
"content": "im not sure...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067361626883366900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:34:02",
"content": "> g'(j(x)) * **j'(x)** = 1",
"attachments": [],
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"reference": null
},
{
"id": 1067361650413424800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:34:08",
"content": "it's staring you in the face",
"attachments": [],
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},
{
"id": 1067361680234913800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:34:15",
"content": "you have the freedom to let x be any value you want",
"attachments": [],
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},
{
"id": 1067361704591241300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:34:20",
"content": "would it help you to set x = 420 perhaps?",
"attachments": [],
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},
{
"id": 1067361853438701600,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:34:56",
"content": "but how i dont have any information even if i did set x = 420",
"attachments": [],
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"reference": null
},
{
"id": 1067363719010586600,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:42:21",
"content": "or if i set x = 1 then g'(j(x)) = 1 and j'(x) = 1 must be true but i still dont understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067366436613398700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:53:09",
"content": "> or if i set x = 1 then g'(j(x)) = 1 and j'(x) = 1 must be true but i still dont understand\nincorrect",
"attachments": [],
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},
{
"id": 1067366498865262600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:53:24",
"content": "my suggestion of x=420 was deliberately unhelpful. i tried to get you to see it for yourself.",
"attachments": [],
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},
{
"id": 1067366573645508600,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:53:41",
"content": "wait then what should i do",
"attachments": [],
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},
{
"id": 1067366586203246600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:53:44",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067366589067952100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:53:45",
"content": "tell me",
"attachments": [],
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},
{
"id": 1067366597880184800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:53:47",
"content": "what do you want to find",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067366673105039400,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:54:05",
"content": "j'(3)?",
"attachments": [],
"mentions": [],
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},
{
"id": 1067366703626997800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:54:12",
"content": "are you second-guessing yourself right now?",
"attachments": [],
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"reference": null
},
{
"id": 1067366776029057000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:54:30",
"content": "second-guessing yourself as to the _goal_ of your problem?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067366946493968400,
"author_id": 1006275214310658200,
"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:55:10",
"content": "i mean the goal of the problem is to find j'(3)",
"attachments": [],
"mentions": [],
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},
{
"id": 1067366967876526200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:15",
"content": "then why the question mark",
"attachments": [],
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"reference": null
},
{
"id": 1067366975027822600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:17",
"content": "anyway",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067366976302886900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:17",
"content": "yes",
"attachments": [],
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},
{
"id": 1067366986151104500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:20",
"content": "you want to find j'(3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1067367042971353100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:33",
"content": "you know that **for all x** you have g'(j(x)) j'(x) = 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:55:37",
"content": "do you understand this, yes or no",
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"timestamp": "01/24/2023 03:55:48",
"content": "not entirely",
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"author_name": "Ann",
"timestamp": "01/24/2023 03:56:07",
"content": ">>> I started with \nj(x) = g^(-1)x\ng(j(x)) = x\ng'(j(x)) * j'(x) = 1",
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"author_name": "Ann",
"timestamp": "01/24/2023 03:56:14",
"content": "so you wrote some things that you yourself do not understand?",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:56:16",
"content": "for all x values g'(j(x)) j'(x) is 1 correct",
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"id": 1067367324098777200,
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"author_name": "Ann",
"timestamp": "01/24/2023 03:56:40",
"content": "yes, that's what i said...",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:56:49",
"content": "> you know that **for all x** you have g'(j(x)) j'(x) = 1",
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"timestamp": "01/24/2023 03:56:49",
"content": "okay then yes i got it",
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"id": 1067367378373062700,
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"author_name": "Ann",
"timestamp": "01/24/2023 03:56:53",
"content": "now",
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"id": 1067367439974809600,
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"author_name": "Ann",
"timestamp": "01/24/2023 03:57:08",
"content": "you have the freedom to substitute x with any number you want",
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"id": 1067367468991000600,
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"author_name": "Ann",
"timestamp": "01/24/2023 03:57:15",
"content": "you have the goal of finding j'(3)",
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"author_name": "Ann",
"timestamp": "01/24/2023 03:57:34",
"content": "what value of x should you substitute into the equation g'(j(x)) j'(x) = 1 in order for j'(3) to appear?",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 03:58:07",
"content": "i mean you could substitute 3 and rearrange but then how do you find j(3)",
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"id": 1067367757139693700,
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"author_name": "Ann",
"timestamp": "01/24/2023 03:58:24",
"content": "> j is the inverse function of g",
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"id": 1067367820960207000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/24/2023 03:58:39",
"content": "j(3) is the number that, when plugged into g, gives 3",
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"author_name": "Ann",
"timestamp": "01/24/2023 03:58:45",
"content": "> i mean you could substitute 3 and rearrange \ncorrect",
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"timestamp": "01/24/2023 03:59:39",
"content": "so in that case g(?) = 3",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 04:00:04",
"content": "is that right",
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"timestamp": "01/24/2023 04:00:20",
"content": "yes",
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"author_name": "Ann",
"timestamp": "01/24/2023 04:00:29",
"content": "and you can (and should) consult your table to find the value of j(3).",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 04:00:32",
"content": "and that would correlate to 2",
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"author_name": "Ann",
"timestamp": "01/24/2023 04:01:44",
"content": "that's not what the word \"correlate\" means.",
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"timestamp": "01/24/2023 04:02:35",
"content": "the value of j(3) is 2",
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"timestamp": "01/24/2023 04:03:36",
"content": "so that gives \n1/(g'(j(x))) = j'(x)\n1/g'(2) = j'(3)\n1/3 = j'(3)",
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"timestamp": "01/24/2023 04:04:03",
"content": "is that correct?",
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"author_name": "Ann",
"timestamp": "01/24/2023 04:07:40",
"content": "what is g'(2)?",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 04:08:25",
"content": "oh i misread its 1",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 04:08:41",
"content": "so is it 1/1 = j'(3)?",
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"id": 1067374121001955300,
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"timestamp": "01/24/2023 04:23:41",
"content": "@CoolSuper Has your question been resolved?",
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"timestamp": "01/24/2023 04:24:02",
"content": "@Ann could you verify my solution?",
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"timestamp": "01/24/2023 04:25:08",
"content": "yes, correct",
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"author_name": "CoolSuper",
"timestamp": "01/24/2023 04:25:20",
"content": "awesome, thank you so much!",
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"timestamp": "01/24/2023 04:25:34",
"content": ".close",
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"timestamp": "01/24/2023 04:25:35",
"content": "Channel closed",
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] | help-9 | 3ab56730b5784454b2cc88587b78f3ed |
200,986 | [
{
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"timestamp": "01/24/2023 04:26:35",
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"author_name": "Moistbeard",
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"content": "Is $\\frac{y^3}{2-3xy^3}$ the same as $-\\frac{y^3}{3xy^3-2}$?",
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"content": "Pinned a message.",
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"timestamp": "01/24/2023 04:39:15",
"content": "**Moistbeard**",
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"timestamp": "01/24/2023 04:40:27",
"content": "Yeah",
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"id": 1067378404460081200,
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"timestamp": "01/24/2023 04:40:42",
"content": "You just factored -1 out of the denominator",
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"timestamp": "01/24/2023 04:40:47",
"content": "I was doing a question about implicit differentiation and the answer I obtained is the fraction on the RIGHT, the asnwer in my textbookis the one on the LEFT",
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"content": "took a me second but i think i understood this now",
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"timestamp": "01/24/2023 04:42:27",
"content": "thanks",
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"content": ".close",
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] | help-9 | 4b47f0a72cb24c32a19e1461fa72c784 |
200,987 | [
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"author_name": "fate.",
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"content": "This is a way how you might do it from scratch",
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"id": 1036386111825641600,
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"timestamp": "10/30/2022 17:08:24",
"content": "That's assuming da/dt=-120 for max value it will be +120",
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"content": "Pinned a message.",
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"timestamp": "10/30/2022 17:11:50",
"content": "which derivative rule do we use here?",
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"timestamp": "10/30/2022 17:26:51",
"content": "@Don Bata Has your question been resolved?",
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"timestamp": "10/30/2022 17:27:09",
"content": "no",
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"timestamp": "10/30/2022 17:27:17",
"content": "bad service",
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"timestamp": "10/30/2022 17:57:18",
"content": "@Don Bata Has your question been resolved?",
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"author_name": "Mélo",
"timestamp": "10/30/2022 18:11:37",
"content": "there's a trick, you don't need to know any derivative:\nx >= 0, and x²-x+25 >= 0\nmoreover, f(0) = 0, so 0 is necessarily the absolute minimum",
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"timestamp": "10/30/2022 18:13:00",
"content": "a similar idea can be used for the max",
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"timestamp": "10/30/2022 18:15:59",
"content": "oh so the x values are -5,1 and 5",
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"timestamp": "10/30/2022 18:17:21",
"content": "it isnt",
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"timestamp": "10/30/2022 18:18:12",
"content": "you didn't even read what I said lol",
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"timestamp": "10/30/2022 18:18:17",
"content": "I said 0 was the minimum",
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"timestamp": "10/30/2022 18:18:21",
"content": "you put it in the max",
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"timestamp": "10/30/2022 18:18:28",
"content": "it will indeed be false lmao",
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"author_name": "Mélo",
"timestamp": "10/30/2022 18:19:24",
"content": "and the absolute max won't necessarily be 27, no need to try to put that in the max, you need to think",
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"timestamp": "10/30/2022 18:21:36",
"content": "if you really want to derivate that, you could use the quotient rule btw",
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"timestamp": "10/30/2022 18:23:50",
"content": "you then would find f'(x) = (25-x²)/something positive",
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"timestamp": "10/30/2022 18:24:08",
"content": "and the max would be obvious",
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"timestamp": "10/30/2022 18:26:02",
"content": "The max is 5?",
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"id": 1036405812920328200,
"author_id": 249632691564183550,
"author_name": "Mélo",
"timestamp": "10/30/2022 18:26:41",
"content": "is when *x = 5* but is not 5",
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"id": 1036405878326313000,
"author_id": 838258307289579500,
"author_name": "Don Bata",
"timestamp": "10/30/2022 18:26:56",
"content": "Oh ok Ty",
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"id": 1036419693294125000,
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"author_name": "Don Bata",
"timestamp": "10/30/2022 19:21:50",
"content": ".close",
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"timestamp": "10/30/2022 19:21:51",
"content": "Channel closed",
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}
] | help-9 | 873e6416d2b64a85bd6503166ae30967 |
200,988 | [
{
"id": 1067380555278204900,
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"author_name": "Mathematics Bot",
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"content": "Available help channel!",
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"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:12:28",
"content": "hii omg hi",
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"id": 1067386403396255700,
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"content": "Pinned a message.",
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"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:13:26",
"content": "im working on my thesis and a question in group theory appeared. i have two elements f and r of a group, where both r and fr have order two. does this imply any properties of f?",
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"id": 1067388185849630700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/24/2023 05:19:34",
"content": "frf = r",
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"id": 1067388200995266600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/24/2023 05:19:38",
"content": "maybe thats useful for you",
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"id": 1067388661085245400,
"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:21:27",
"content": "yea and rfr = f right",
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"id": 1067388686234292400,
"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:21:33",
"content": "or well",
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"id": 1067388703992975500,
"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:21:38",
"content": "rfr = f^{-1}",
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"id": 1067389093354410000,
"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:23:10",
"content": "alright im calling that theres not gonna be anything useful i can get from just these two properties",
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"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:23:12",
"content": "thanks",
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"id": 1067389105551446100,
"author_id": 582549955852369900,
"author_name": "xjnegen",
"timestamp": "01/24/2023 05:23:13",
"content": ".close",
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"id": 1067389108177076400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 05:23:14",
"content": "Channel closed",
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] | help-9 | dde078efeff341deb5f8b4423e2621c0 |
200,989 | [
{
"id": 1067398592698003500,
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"content": "Available help channel!",
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"id": 1067408206244098000,
"author_id": 873718311588880400,
"author_name": "luvpatatas",
"timestamp": "01/24/2023 06:39:07",
"content": "3 root of x - 4?",
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},
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"id": 1067408209121390600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 1067408388830548000,
"author_id": 758350848115212300,
"author_name": "Quasar",
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"content": "?",
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"id": 1067408418509439100,
"author_id": 758350848115212300,
"author_name": "Quasar",
"timestamp": "01/24/2023 06:39:58",
"content": "Write down your question correctly",
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},
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"id": 1067408418790441100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/24/2023 06:39:58",
"content": "You mean 3×sqrtx -4",
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"id": 1067408427514593300,
"author_id": 437166198166257660,
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"timestamp": "01/24/2023 06:40:00",
"content": "Or what",
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"id": 1067408539238281200,
"author_id": 873718311588880400,
"author_name": "luvpatatas",
"timestamp": "01/24/2023 06:40:27",
"content": "oh yes square root",
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"id": 1067408602291257300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/24/2023 06:40:42",
"content": "What's your question?",
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"id": 1067408655307247600,
"author_id": 873718311588880400,
"author_name": "luvpatatas",
"timestamp": "01/24/2023 06:40:54",
"content": "hold on ill send the pic",
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"id": 1067408667844018200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/24/2023 06:40:57",
"content": "$3\\cdot \\sqrt{x}-4$",
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"id": 1067408677583204400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/24/2023 06:41:00",
"content": "**Master Oogway**",
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"id": 1067408805215875100,
"author_id": 873718311588880400,
"author_name": "luvpatatas",
"timestamp": "01/24/2023 06:41:30",
"content": "oh yes that one",
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"id": 1067408861679591400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/24/2023 06:41:44",
"content": "And what is your question",
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"id": 1067408896500715500,
"author_id": 873718311588880400,
"author_name": "luvpatatas",
"timestamp": "01/24/2023 06:41:52",
"content": "how do i simplify",
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"id": 1067408952360439800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/24/2023 06:42:05",
"content": "You cant simplify",
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"timestamp": "01/24/2023 06:42:11",
"content": "why?",
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"id": 1067409014582948000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/24/2023 06:42:20",
"content": "There's nothing to simplify",
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"timestamp": "01/24/2023 06:42:36",
"content": "ohhhh",
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"author_name": "chartbit",
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"content": "#help-18",
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"author_name": "chartbit",
"timestamp": "01/24/2023 06:46:48",
"content": ".close",
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"id": 1067410141504344000,
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"content": "Channel closed",
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] | help-9 | a9824ea0c13d42df8a004e30b1a33134 |
200,990 | [
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"timestamp": "01/24/2023 06:47:45",
"content": "helper lets you close channels?",
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"content": "If you’re helpful you can :devilish: but I think helpers can too",
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"content": "*Helpful",
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"id": 1067410662688563300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/24/2023 06:48:53",
"content": "Yeee helpful’s have that power :devilish:",
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"content": "dang gotta answer so many help channel questions",
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "@Moderators",
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"timestamp": "01/24/2023 06:52:49",
"content": "He gone",
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"content": ".close",
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"id": 1067411677450080300,
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200,991 | [
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"id": 1067413859511566300,
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"content": "Available help channel!",
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"id": 1067427809615687800,
"author_id": 1024392928719818800,
"author_name": "afeAlway",
"timestamp": "01/24/2023 07:57:01",
"content": "hey",
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"id": 1067427811603775500,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"id": 1067427841563689000,
"author_id": 1024392928719818800,
"author_name": "afeAlway",
"timestamp": "01/24/2023 07:57:09",
"content": "So I've a function called $ h(x) = \\sqrt{x}$, for $ x>=0$ and $h(x)=-\\sqrt{-x}$, for $ x<0$",
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"content": "**afeAlway**",
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"timestamp": "01/24/2023 07:59:25",
"content": "The question to see if it is differentiable at origo? And if we can find a tangen equation?",
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"id": 1067428798565462000,
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"timestamp": "01/24/2023 08:00:57",
"content": "I drew the functions and realised that we have the same situation as absolute value functions meaning we have a pointed end.",
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"timestamp": "01/24/2023 08:01:26",
"content": "So therefore it is not differetiable",
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"id": 1067428931986276500,
"author_id": 183668144404037630,
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"timestamp": "01/24/2023 08:01:29",
"content": "$\\geq$, by the way.",
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"id": 1067428937820557300,
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"timestamp": "01/24/2023 08:01:30",
"content": "theres no pointed end",
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"timestamp": "01/24/2023 08:01:31",
"content": "**Ann**",
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"content": "its smooth",
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"author_name": "~Martin",
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"content": "it has a vertical tangent. the limit of the difference quotient will be +infty.",
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"content": "your function is not differentiable at 0",
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"timestamp": "01/24/2023 08:02:38",
"content": "(also it's *the origin*, not \"origo\" in english)",
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"timestamp": "01/24/2023 08:03:50",
"content": "yeah sorry, I drew it wrong",
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"content": "but the answer is then yes it is differentiable",
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"content": "right?",
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"timestamp": "01/24/2023 08:07:21",
"content": "sorry I got it confused with my language but anyways to find the tangent equation, I only focus on the sqrt x right?",
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"timestamp": "01/24/2023 08:08:15",
"content": "??",
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"content": "no",
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"content": "first off, as i said, no, the function is NOT differentiable at 0.",
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"author_name": "Ann",
"timestamp": "01/24/2023 08:09:02",
"content": "but the limit of (f(h)-f(0))/h equals positive infinity, so a tangent line exists - but it's **vertical**.",
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"content": "Sorry I missed that but, why?",
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"content": "How do I find that the limit is infinity?",
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"content": "@afeAlway using definition",
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"content": "But how do I do it?",
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"timestamp": "01/24/2023 08:27:33",
"content": "I mean I got 0 and not 1?",
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"timestamp": "01/24/2023 08:30:13",
"content": "$lim_{h \\to 0} \\frac{\\sqrt{x+h} - \\sqrt{x}}h = \\frac{\\sqrt{x+0} - \\sqrt{x}}{0,0000...1} = 0$",
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"content": "**afeAlway**",
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"content": "are you for real right now...?",
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"content": "I am confused, that is what I am rn",
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"content": "that's not how you compute limits, and by your logic the derivative of any function is always 0...",
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"content": "Ik but I can't simplify it",
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"content": "How do I continue before I put h=0.",
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"timestamp": "01/24/2023 08:35:11",
"content": "this limit is calculated by means of multiplication by the conjugate.",
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"content": "*if* you want to calculate the derivative in general, and not just at 0, that is.",
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"content": "$\\frac{\\sqrt{x+h}-\\sqrt{x}}{h} = \\frac{(\\sqrt{x+h}-\\sqrt{x})(\\sqrt{x+h}+\\sqrt{x})}{h(\\sqrt{x+h}+\\sqrt{x})} = \\frac{x+h-x}{h(\\sqrt{x+h}+\\sqrt{x})}$",
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"timestamp": "01/24/2023 08:36:27",
"content": "**Ann**",
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"timestamp": "01/24/2023 08:37:16",
"content": "however this will only help you find the derivative of your function at strictly positive points",
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"content": "at 0 it is a somewhat different story",
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"timestamp": "01/24/2023 08:38:54",
"content": "So I get 1/ 0,0000000.......1",
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"timestamp": "01/24/2023 08:39:06",
"content": "which is infinity right?",
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"timestamp": "01/24/2023 08:40:44",
"content": ".....",
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"timestamp": "01/24/2023 08:40:48",
"content": "what.",
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"timestamp": "01/24/2023 08:41:28",
"content": "okay, hold on. is this your first exposure to limits in general? or have you calculated limits before",
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"content": "I mean I did calc in high school over 2yrs ago and Ive not had anything related to calc until just now in uni so don't rememeber everything",
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"timestamp": "01/24/2023 08:44:46",
"content": "yeah, sounds like you need to relearn/review how to calculate limits. rn you're stumbling in the dark more or less",
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"timestamp": "01/24/2023 08:44:53",
"content": "but Im correct tho, becuz the x take each other out and then h/h=1. Since x= 0, I will get $\\frac1{\\sqrt{0.00000...1}}$",
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"content": "cringe wording.",
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"timestamp": "01/24/2023 08:45:47",
"content": "for x not equal to 0 you get 1/(2sqrt(x)) as your derivative",
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"content": "**afeAlway**",
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"content": "for x = 0 the expression in the limit simplifies to 1/sqrt(h)",
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"content": "0.0000....1 isn't a thing and you should not pretend like it is",
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"timestamp": "01/24/2023 08:46:32",
"content": "which is correct but how is my solution wrong then?",
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"content": "it just helps me understand limit a lot better, shouldn't have expected it to make sense for others",
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"content": "your solution is poorly presented, even if the logic is there.",
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"content": "@afeAlway Has your question been resolved?",
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] | help-9 | 133042b86a6c4d52a83ecc0d8322bef0 |
200,992 | [
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] | help-9 | 9d81375d87b84a8cb6d8dd4fa870af44 |
200,993 | [
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"content": "I wanna now how to solve it",
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"timestamp": "01/24/2023 11:57:58",
"content": "im honestly confused",
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"author_name": "VulcanOne",
"timestamp": "01/24/2023 11:58:11",
"content": "Okay what does the question want you to find?",
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"content": "The Surface Area of the Triangular Prism",
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"timestamp": "01/24/2023 11:58:32",
"content": "Okay",
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"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/24/2023 11:58:42",
"content": "What does \"surface area\" mean to you?",
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"author_name": "iJakeBTW",
"timestamp": "01/24/2023 11:59:20",
"content": "what is this? therapy? Its the **area** of the **surface** its in the name",
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"author_name": "VulcanOne",
"timestamp": "01/24/2023 11:59:40",
"content": ":catThink:",
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"id": 1067488949314003100,
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"timestamp": "01/24/2023 11:59:58",
"content": "Good job",
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"timestamp": "01/24/2023 11:59:59",
"content": "Now",
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"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/24/2023 12:00:31",
"content": "What parts of the prism counts as the surface to you?",
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"id": 1067489092771778700,
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"author_name": "NEONPerseus",
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"content": "You should set up a surface integral /s",
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"author_name": "iJakeBTW",
"timestamp": "01/24/2023 12:00:52",
"content": "...every surface on the prism?",
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"timestamp": "01/24/2023 12:01:00",
"content": "Nice nice",
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"timestamp": "01/24/2023 12:01:14",
"content": "What surfaces are there?",
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"content": "Like",
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"content": "Rectangle/triangle/circle?",
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"content": "And how many are there",
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"content": "3 rectangles 2 triangle",
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"content": "triangles*",
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"timestamp": "01/24/2023 12:01:43",
"content": "Good!!!",
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"author_name": "VulcanOne",
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"content": "Can you calculate the area of each one?",
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"content": "sure",
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"content": "104 + 104 + 80 + 15 + 15 = 318",
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"content": "Good job!!",
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"content": "That's indeed the correct answer",
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"content": "Do you have any more questions you need help with?",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 5a38b049000d4f1490d08194f1a9ec9b |
200,994 | [
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"content": "what are restriction on ``a,b,c``? someone told me ``a and c`` can be negative.",
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"content": "@Helpers",
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"content": "help?",
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"content": "$\\log_b(a)=\\dfrac{\\ln(a)}{\\ln(b)}$",
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"timestamp": "01/24/2023 13:05:08",
"content": "**SAKUUN**",
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"content": "you have then... $a>0$ and $b>0 $ and $b\\neq 1$",
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"content": "**SAKUUN**",
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"content": "the c can be watever as a result",
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"content": "noted",
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"timestamp": "01/24/2023 13:07:37",
"content": ".close",
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] | help-9 | 4b349c3dde0147e789e2e4dd8f9c4879 |
200,995 | [
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"timestamp": "01/24/2023 13:12:08",
"content": "First get rid of the bracket",
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"timestamp": "01/24/2023 13:12:20",
"content": "Then get rid of the fractions",
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] | help-9 | 737ebe6d4d624227b3a4294df137ab69 |
200,996 | [
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"content": "Can i replace p and not p with anything i like",
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"content": "For example p -> r",
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"content": "$(p \\wedge \\neg p)$?",
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"timestamp": "01/24/2023 13:47:01",
"content": "**ΣAC**",
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"content": "Yes Xd",
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"content": "you can replace it with false",
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"content": "and only false",
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"content": "(or anything thats equivalent to false)",
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"id": 1067516345593372800,
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"author_name": "klr",
"timestamp": "01/24/2023 13:48:50",
"content": "What do i do then to get this",
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"content": "I dont get it",
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"timestamp": "01/24/2023 13:51:08",
"content": "Wdym by false?",
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"id": 1067516960734195800,
"author_id": 992505796606836900,
"author_name": "klr",
"timestamp": "01/24/2023 13:51:16",
"content": "Just negation?",
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"timestamp": "01/24/2023 14:06:17",
"content": "@klr Has your question been resolved?",
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"author_id": 472852203434934300,
"author_name": "TheCollatzGriffin",
"timestamp": "01/24/2023 14:14:02",
"content": "Looking at #10, you can replace \"a or not a\" with False. This is one of the compliment laws.",
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"author_name": "TheCollatzGriffin",
"timestamp": "01/24/2023 14:15:07",
"content": "I figured out a possible solution for #10, but I don't want to say it outright. I will tell you that you need to use more laws of prepositional logic to solve it",
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"timestamp": "01/24/2023 14:24:29",
"content": "*Actually hang on, I want to verify if my proof makes sense first",
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"content": "@klr Has your question been resolved?",
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] | help-9 | 29521155068548a38c9512d244abec42 |
200,997 | [
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"timestamp": "01/24/2023 15:08:07",
"content": "Pinned a message.",
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"timestamp": "01/24/2023 15:08:11",
"content": "How do I solve d?",
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"timestamp": "01/24/2023 15:08:40",
"content": "Since s doesnt represent the amount of students but rather the students themselves, I can't just say s = 1",
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"content": "Do I make a dummy variable to show that there is only one student per course? And how would that look in a propositional logic statement",
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"content": "@eamon Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "Sel",
"timestamp": "01/24/2023 15:44:43",
"content": "Let's say, according to the statement, if: \n\"student _a_ is taking this course\" \nand \n\"student _b_ is taking this course\"\nWhat can we say about _a_ and _b_?",
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"id": 1067545827905654800,
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"timestamp": "01/24/2023 15:45:59",
"content": "Student a and b are taking the same course",
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"timestamp": "01/24/2023 15:48:24",
"content": "Yes, and every course has exactly one student",
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"timestamp": "01/24/2023 15:48:49",
"content": "(can _a_ and _b_ be two distinct students?)",
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"timestamp": "01/24/2023 15:54:58",
"content": "If student a and b are taking the same course, then every course does not have exactly one student",
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"timestamp": "01/24/2023 15:55:29",
"content": "a and b can be distinct, but how do I represent that with a propositional logic statement",
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"timestamp": "01/24/2023 15:58:05",
"content": "Yeah, so it contradicts with our statement (d), therefore _a_ and _b_ must be the same student: they cannot be distinct.",
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"timestamp": "01/24/2023 16:00:04",
"content": "So _a_ = _b_",
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"author_name": "eamon",
"timestamp": "01/24/2023 16:02:27",
"content": "so would I say like for all s, s' in S, c in C, Study(s, c) => s = s'",
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"author_name": "eamon",
"timestamp": "01/24/2023 16:02:56",
"content": "like kinda in a way reducing the size of S to one student essentially",
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"author_name": "Sel",
"timestamp": "01/24/2023 16:03:51",
"content": "It looks really close. You have the statement \"study(s,c)\". What about _s'_ ?",
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"timestamp": "01/24/2023 16:05:15",
"content": "for all s, s' in S, c in C, Study(s, c) and Study(s', c) => s = s'",
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"id": 1067550699946246300,
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"author_name": "eamon",
"timestamp": "01/24/2023 16:05:21",
"content": "how about this?",
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"timestamp": "01/24/2023 16:05:46",
"content": "Looks good to me",
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"timestamp": "01/24/2023 16:05:52",
"content": "Awesome, thanks for the help",
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"content": ".close",
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] | help-9 | 70658e80d71f4962af7c7d25c0751dbc |
200,998 | [
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"id": 1036421195547017200,
"author_id": 279726292512014340,
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"content": "The question is determine the values of m and n, if any, that make the following function continuous",
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"content": "and the numbers are",
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"content": "wait sorry let me just sentd a picture",
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"content": "i know that to make it continuous i am trying to connect the lines together",
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] | help-9 | 124b429f7f684152aa46f81e06b659bd |
200,999 | [
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"content": "So for a linear function, the value of y has a constant slope, ie., it increases at a constant rate",
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"content": "For example, if I have a function y=2x, the output (y) is always going to be twice the input (x)",
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"content": "ok im here btw",
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"content": "Or for another example, y=2x -4",
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"content": "Alright",
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"content": "Here the only difference is that we are now subtracting four from this",
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"content": "So -4 would be my y intercept",
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"content": "Good so far, or is there anything you would like more clarity on?",
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"content": "uhh",
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"content": "i have more",
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"content": "queestion",
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"content": "s",
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"content": "@ArtVandelay",
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"timestamp": "01/24/2023 16:19:53",
"content": "What’s up",
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"timestamp": "01/24/2023 16:20:23",
"content": "there are multiple weustions",
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"timestamp": "01/24/2023 16:20:47",
"content": "Alright so for the second part",
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"content": "A non linear function does not have a defined slope",
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"content": "These are my quadratic functions, ex, y=x^2 or y=x^3",
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"content": "If I find my slope between two points, and I do it for another two points, and they’re not equal, then I would have a non linear function",
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"timestamp": "01/24/2023 16:22:22",
"content": "hmm okay",
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"timestamp": "01/24/2023 16:22:41",
"content": "If you have any questions or need clarification feel free to ask",
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"timestamp": "01/24/2023 16:22:46",
"content": "ok ok",
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"content": "@ArtVandelay",
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"timestamp": "01/24/2023 16:37:14",
"content": "would it be B and D?",
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"timestamp": "01/24/2023 16:39:05",
"content": "Close",
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"timestamp": "01/24/2023 16:39:23",
"content": "Table A is linear",
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"timestamp": "01/24/2023 16:39:28",
"content": "But there’s another linear one",
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"timestamp": "01/24/2023 16:39:46",
"content": "And for the second part, D is not linear",
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"timestamp": "01/24/2023 16:40:39",
"content": "Because the slope is not constant",
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"timestamp": "01/24/2023 16:40:48",
"content": "dangit",
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"timestamp": "01/24/2023 16:40:56",
"content": "so its",
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"timestamp": "01/24/2023 16:40:58",
"content": "B",
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"timestamp": "01/24/2023 16:41:00",
"content": "and then",
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"timestamp": "01/24/2023 16:41:29",
"content": "the two highlighted ones?'",
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"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:41:46",
"content": "Second part is great!",
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"timestamp": "01/24/2023 16:42:10",
"content": "For the first part you’re very close, but there’s a second linear table",
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"timestamp": "01/24/2023 16:42:14",
"content": "A is in fact linear",
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},
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"id": 1067560018188193800,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:42:22",
"content": "But which other table also has a linear relationship?",
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},
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"id": 1067560067685167100,
"author_id": 821526869958459400,
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"timestamp": "01/24/2023 16:42:34",
"content": "a and b?",
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"id": 1067560214179631200,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:43:09",
"content": "Getting there, but B is a quadratic function, it does not have a constant slope so it’s not linear",
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"id": 1067560264523841500,
"author_id": 821526869958459400,
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"timestamp": "01/24/2023 16:43:21",
"content": "damn",
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},
{
"id": 1067560274606964900,
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"author_name": "swift",
"timestamp": "01/24/2023 16:43:23",
"content": "so its a and c",
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},
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"id": 1067560293703626800,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:43:28",
"content": "Yup",
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},
{
"id": 1067560312577982600,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:43:32",
"content": "Do you understand why?",
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},
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"id": 1067560351111061600,
"author_id": 821526869958459400,
"author_name": "swift",
"timestamp": "01/24/2023 16:43:42",
"content": "no",
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},
{
"id": 1067560360141410400,
"author_id": 821526869958459400,
"author_name": "swift",
"timestamp": "01/24/2023 16:43:44",
"content": "not really",
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},
{
"id": 1067560527183753200,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:44:23",
"content": "So if I find the slope between my first two points on table C, what do I get?",
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},
{
"id": 1067560599229305000,
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"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:44:41",
"content": "Wait wait disregard that",
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},
{
"id": 1067560740178886700,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:45:14",
"content": "Do you have Desmos? If so, plot the points from table c into it",
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},
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"id": 1067560786064592900,
"author_id": 821526869958459400,
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"timestamp": "01/24/2023 16:45:25",
"content": "desmos?",
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},
{
"id": 1067560845103612000,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:45:39",
"content": "It’s a graphing calculator, if you don’t have it just give me a second",
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},
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"id": 1067560865051713500,
"author_id": 821526869958459400,
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"timestamp": "01/24/2023 16:45:44",
"content": "ok",
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},
{
"id": 1067561102566760600,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:46:41",
"content": "Ahhh I messed up",
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},
{
"id": 1067561127065690100,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:46:47",
"content": "I’m blind I misread the numbers",
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},
{
"id": 1067561164210442200,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:46:55",
"content": "You were right the first time!! A only",
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},
{
"id": 1067561173475659800,
"author_id": 450118831411560450,
"author_name": "ArtVandelay",
"timestamp": "01/24/2023 16:46:58",
"content": "I’m so sorry",
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},
{
"id": 1067561301720711200,
"author_id": 821526869958459400,
"author_name": "swift",
"timestamp": "01/24/2023 16:47:28",
"content": "no no",
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},
{
"id": 1067561308133802000,
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"timestamp": "01/24/2023 16:47:30",
"content": "thats okay",
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},
{
"id": 1067561513365282800,
"author_id": 821526869958459400,
"author_name": "swift",
"timestamp": "01/24/2023 16:48:19",
"content": "can you help me with the other question?",
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"author_name": "swift",
"timestamp": "01/24/2023 16:48:29",
"content": "",
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"timestamp": "01/24/2023 16:48:41",
"content": "this is really confusing too me",
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"id": 1067561668181241900,
"author_id": 821526869958459400,
"author_name": "swift",
"timestamp": "01/24/2023 16:48:56",
"content": "i learned it in class but i still dont understand it",
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"timestamp": "01/24/2023 16:51:31",
"content": "i think its",
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"timestamp": "01/24/2023 16:51:32",
"content": "A and D",
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"timestamp": "01/24/2023 16:57:00",
"content": "i wanna say D to this",
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"timestamp": "01/24/2023 17:04:59",
"content": "@Helpers",
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},
{
"id": 1067565763424174200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/24/2023 17:05:12",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"id": 1067565801177088000,
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"timestamp": "01/24/2023 17:05:21",
"content": "O",
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"timestamp": "01/24/2023 17:20:21",
"content": "@swift Has your question been resolved?",
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"timestamp": "01/24/2023 17:35:22",
"content": "Channel closed",
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] | help-9 | 4593e9f933b74c75b7efce754b8bd331 |
201,000 | [
{
"id": 1067573606692962400,
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"content": "Available help channel!",
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},
{
"id": 1067574354629623800,
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"content": "Pinned a message.",
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"content": "Can someone explain what \"two distinct isomorphisms from G to H\" mean?",
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"content": "@blackmamba[they/them] Has your question been resolved?",
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"content": ".reopen",
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"id": 1067578745269006300,
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"content": "help",
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"id": 1067579618070106200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/24/2023 18:00:15",
"content": "well, two functions that are isomorphisms but not the same",
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"id": 1067579749867737100,
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"author_name": "Denascite",
"timestamp": "01/24/2023 18:00:47",
"content": "so phi and psi maybe but there exists at least one vertex with phi(v) not the same as psi(v)",
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"id": 1067579817857392800,
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"timestamp": "01/24/2023 18:01:03",
"content": "?",
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"author_name": "Denascite",
"timestamp": "01/24/2023 18:01:16",
"content": "not you. read #❓how-to-get-help and get your own channel",
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"id": 1067579878909685800,
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"timestamp": "01/24/2023 18:01:17",
"content": "i need help with the things up here",
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"timestamp": "01/24/2023 18:01:29",
"content": "this was my channel lmao",
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"id": 1067579953102733300,
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"timestamp": "01/24/2023 18:01:35",
"content": "keyword being was",
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"timestamp": "01/24/2023 18:01:42",
"content": "yeah ik that",
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"author_name": "thatkideric",
"timestamp": "01/24/2023 18:04:43",
"content": "Have you heard of the vertical line test ?",
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"content": "no",
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"timestamp": "01/24/2023 18:05:36",
"content": "i wanna say its D",
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"id": 1067580972238901200,
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"timestamp": "01/24/2023 18:05:38",
"content": "or C",
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"timestamp": "01/24/2023 18:09:31",
"content": "Channel closed",
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}
] | help-9 | c637dec9a0f94c25882fbed1ede58e1a |
201,001 | [
{
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"timestamp": "01/24/2023 18:15:14",
"content": "I missed this",
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"content": "Can you elaborate? I don't get it.",
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"content": "H is isomorphic to G",
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"timestamp": "01/24/2023 18:16:11",
"content": "are they saying there's a Permutations P1, P2 s.t ... what?",
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"id": 1067583689988513900,
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"timestamp": "01/24/2023 18:16:26",
"content": "P1(G) = H\nP2(G) = H but P1 != P2?",
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"timestamp": "01/24/2023 18:17:14",
"content": "yes, there can be more than one isomorphism between a pair of isomorphic things",
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"timestamp": "01/24/2023 18:31:26",
"content": "@blackmamba[they/them] Has your question been resolved?",
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] | help-9 | 271c80376af749b4bdcd3ba4cbd692dd |
201,002 | [
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"author_name": "valul de mare",
"timestamp": "01/24/2023 18:52:27",
"content": "How can I determine how many of a shape would fit in another assuming they both retain their borders",
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"content": "Pinned a message.",
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"timestamp": "01/24/2023 18:52:31",
"content": "For example",
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"timestamp": "01/24/2023 18:52:40",
"content": "“How many romanias would fit in France”",
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"timestamp": "01/24/2023 18:53:07",
"content": "If we do this mathematically, area 🇫🇷/area 🇷🇴 we receive 2.6",
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"content": "XD",
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"timestamp": "01/24/2023 18:53:12",
"content": "But what I mean is",
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"content": "Adjusted for the shape, I don’t even know if one Romania would fit",
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"content": "At most 1",
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"content": "Idk if I’m presenting this clearly",
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"author_name": "Jigglyproff",
"timestamp": "01/24/2023 18:53:50",
"content": "cut out the shape of romania and try to fit it in france",
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"content": "Yes but how can I do this mathematically",
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"author_name": "Jigglyproff",
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"content": "does romania's shape look mathematical to you?",
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"content": "How would be a border be defined mathematically",
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"content": "You could approximate",
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"timestamp": "01/24/2023 18:54:31",
"content": "Like the coastline paradox",
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"author_name": "Jigglyproff",
"timestamp": "01/24/2023 18:54:43",
"content": "that really doesn't apply here",
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"timestamp": "01/24/2023 18:55:35",
"content": "if you make both to rectangles I guess you could",
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"timestamp": "01/24/2023 18:56:02",
"content": "what if I have a more extreme example",
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"timestamp": "01/24/2023 18:56:08",
"content": "How many Luxembourg’s would fit in Russia",
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"id": 1067593712156291200,
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"timestamp": "01/24/2023 18:56:15",
"content": "There’s no mathematical expression to determine this?",
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"author_name": "Jigglyproff",
"timestamp": "01/24/2023 18:56:21",
"content": "make luxembourg to a rectangle xd",
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"author_name": "valul de mare",
"timestamp": "01/24/2023 18:56:22",
"content": "I would have to manually try to place all in?",
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "01/24/2023 18:56:31",
"content": "make a computer do it",
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"id": 1067593822453911600,
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"timestamp": "01/24/2023 18:56:42",
"content": "What would I program",
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"content": "The math behind jt",
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"author_name": "Jigglyproff",
"timestamp": "01/24/2023 18:57:14",
"content": "'cut out shape a'\n'try to fit in b'\n\nthere are likely algorithms that quickly discard impossible shapes, but thats the gist",
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"timestamp": "01/24/2023 19:11:45",
"content": "@valul de mare Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 0e88d46338904a9fbd7aba6b80e93fa9 |
201,003 | [
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"timestamp": "01/24/2023 19:23:48",
"content": "Hello, may I get some help please?",
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"content": "Pinned a message.",
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"timestamp": "01/24/2023 19:24:53",
"content": "I finished completed the question, up until that second last line. I am not sure how it is simplified to get to what is shown there on the bottom line. Could you please explain how that's done?",
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"timestamp": "01/24/2023 19:39:53",
"content": "@Rhys Has your question been resolved?",
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"timestamp": "01/24/2023 19:48:39",
"content": "they skipped some arithmetic between steps, but try factoring like-terms and see where that gets you",
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"content": "@Rhys Has your question been resolved?",
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] | help-9 | 7cb25526b8044b67a6a1d0653d1a9297 |
201,004 | [
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"content": "Pinned a message.",
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"timestamp": "01/24/2023 20:16:07",
"content": "first time studying for math since my long winter break so I dont remember how to find if a function is continuous around a point or not",
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"timestamp": "01/24/2023 20:16:17",
"content": "also need help with finding partial derivatives",
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"timestamp": "01/24/2023 20:31:17",
"content": "@B0LD Has your question been resolved?",
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"timestamp": "01/24/2023 20:33:15",
"content": "@Helpers",
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"id": 1067620752846749700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/24/2023 20:43:42",
"content": "You need $x \\geq y$ (i.e. $x - y \\geq 0$) for $f(x, y) = \\sqrt{x - y}$ to be defined, and note that $y(3) = 3$ leads to the point $(a,b) = (3, 3)$ and $f(3, 3) = 0$",
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"timestamp": "01/24/2023 20:43:45",
"content": "**chartbit**",
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"timestamp": "01/24/2023 20:44:27",
"content": "oh bru",
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"timestamp": "01/24/2023 20:44:30",
"content": "is that literally it",
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"timestamp": "01/24/2023 20:44:35",
"content": "alr thanks",
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"author_name": "chartbit",
"timestamp": "01/24/2023 20:44:52",
"content": "Basically there's a way to \"fall off\" if you get it?",
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"timestamp": "01/24/2023 20:45:09",
"content": "yes",
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"timestamp": "01/24/2023 20:45:16",
"content": "i also need help with partial derivatives",
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"id": 1067621161422291000,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:20",
"content": "while i was waiting",
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"id": 1067621170377138300,
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"timestamp": "01/24/2023 20:45:22",
"content": "i found out",
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"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:26",
"content": "u just ignore one variable",
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"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:32",
"content": "but im confused by the dy/dx",
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"id": 1067621240715620400,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:39",
"content": "like which variable",
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"id": 1067621246264692900,
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"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:40",
"content": "do i ignore",
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"id": 1067621270272876500,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:45:46",
"content": "how do i know",
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"id": 1067621486942240800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/24/2023 20:46:37",
"content": "Basically take the $f(x, y) =\\sqrt{x - y}$, and they ask for $\\pdv{f}{y}$, so differentiate $\\sqrt{x - y}$ as if $x$ was just a constant",
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"author_name": "TeXit",
"timestamp": "01/24/2023 20:46:40",
"content": "**chartbit**",
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"timestamp": "01/24/2023 20:47:24",
"content": "so i pretend x is a constant because its not even present in f/y",
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"timestamp": "01/24/2023 20:47:31",
"content": "but if they ask me to partially differentiate",
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"timestamp": "01/24/2023 20:47:34",
"content": "and its like dy/dx",
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"timestamp": "01/24/2023 20:47:36",
"content": "in the future",
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"author_name": "B0LD",
"timestamp": "01/24/2023 20:47:49",
"content": "idk how to ask this properly lol",
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"timestamp": "01/24/2023 20:47:57",
"content": "u get what i mean?",
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"author_name": "chartbit",
"timestamp": "01/24/2023 20:48:15",
"content": "Hmmm not entirely sure that I do, and I want to be very careful with my words here",
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"timestamp": "01/24/2023 20:48:51",
"content": "wait one sec",
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"timestamp": "01/24/2023 20:48:55",
"content": "i might be able to find example",
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"timestamp": "01/24/2023 20:49:23",
"content": "it appears",
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"timestamp": "01/24/2023 20:49:28",
"content": "that i might be stupid",
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"id": 1067622213001420900,
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"author_name": "B0LD",
"timestamp": "01/24/2023 20:49:31",
"content": "nevermind i figured it out",
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"id": 1067622216075841700,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:49:31",
"content": "lol",
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"id": 1067622220232392700,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:49:32",
"content": "ok",
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"id": 1067622224204398600,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:49:33",
"content": "im good",
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"id": 1067622229170454700,
"author_id": 340391684317642750,
"author_name": "B0LD",
"timestamp": "01/24/2023 20:49:34",
"content": "thank you",
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"id": 1067622875307196500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/24/2023 20:52:08",
"content": "Awww perfect, happy you got it! :happyCat:",
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"id": 1067622903455154200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/24/2023 20:52:15",
"content": "Have a good one! :catthumbsup:",
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"timestamp": "01/24/2023 21:06:28",
"content": "u too",
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"author_id": 1017985603129847800,
"author_name": "Orwshady",
"timestamp": "01/24/2023 21:19:56",
"content": "i need help",
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"content": "@B0LD Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | fe345d7a33e4467aa6c6038768829e85 |
201,005 | [
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"content": "i think",
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"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/24/2023 22:19:35",
"content": "u just use area of circle formula?",
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"id": 1067645046318452900,
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"author_name": "___.",
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"content": "how would u do that",
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"author_name": "Circle",
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"content": "",
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"author_name": "Circle",
"timestamp": "01/24/2023 22:20:41",
"content": "its a quarter of a circle",
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"id": 1067645237444497500,
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"author_name": "___.",
"timestamp": "01/24/2023 22:21:00",
"content": "9pie over 4",
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"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/24/2023 22:21:18",
"content": "pi",
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"id": 1067645317928992800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/24/2023 22:21:19",
"content": "yes",
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"author_name": "___.",
"timestamp": "01/24/2023 22:21:56",
"content": "what abt this",
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"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/24/2023 22:25:01",
"content": "its similar",
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"id": 1067646286972584000,
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"author_name": "Circle",
"timestamp": "01/24/2023 22:25:10",
"content": "wait sry its neg",
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"timestamp": "01/24/2023 22:25:15",
"content": "below x-axis",
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"timestamp": "01/24/2023 22:40:31",
"content": "@___. Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 9c9054c9171e4f1a993c36ef872f83b9 |
201,006 | [
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"timestamp": "01/24/2023 22:56:31",
"content": "Available help channel!",
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},
{
"id": 1067655269120745600,
"author_id": 465317024617332740,
"author_name": "Exkyvia",
"timestamp": "01/24/2023 23:00:52",
"content": "Need help with c",
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"content": "Pinned a message.",
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"timestamp": "01/24/2023 23:15:52",
"content": "@Exkyvia Has your question been resolved?",
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/24/2023 23:18:11",
"content": "start by noticing 24 = 6*4 ig",
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"id": 1067659794632167600,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/24/2023 23:18:51",
"content": "if something is divisible by both 6 and 4, it is also divisible by 24",
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"id": 1067659871077535900,
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"timestamp": "01/24/2023 23:19:09",
"content": "ok",
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"id": 1067660136920928300,
"author_id": 465317024617332740,
"author_name": "Exkyvia",
"timestamp": "01/24/2023 23:20:12",
"content": "was that it?",
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"id": 1067660612856975400,
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"author_name": "Exkyvia",
"timestamp": "01/24/2023 23:22:06",
"content": "wait hang on\\",
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"id": 1067660626882728000,
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"author_name": "Exkyvia",
"timestamp": "01/24/2023 23:22:09",
"content": "i think i got it",
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"id": 1067662043001401500,
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"timestamp": "01/24/2023 23:27:47",
"content": ".close",
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},
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"id": 1067662045761253500,
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"content": "Channel closed",
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}
] | help-9 | 97874fbe53e1494f93b1617cf123c64f |
201,007 | [
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"id": 1067663894031642600,
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"content": "how do u know whether the a value is below or above 0",
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"content": "@fariah Has your question been resolved?",
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] | help-9 | 5068ae170ee64f03a4ddfaf0a02e0b71 |
201,008 | [
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"content": "when should you use a negative reciprocal when verifying a triangle",
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] | help-9 | 2878de1b161f42f5b8044b4f5ab92719 |
201,009 | [
{
"id": 1036432694386634900,
"author_id": 279726292512014340,
"author_name": "killin",
"timestamp": "10/30/2022 20:13:30",
"content": ".reopen",
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"id": 1036432705312796800,
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"timestamp": "10/30/2022 20:13:32",
"content": "✅",
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"timestamp": "10/30/2022 20:28:33",
"content": "@killin Has your question been resolved?",
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"timestamp": "10/30/2022 20:34:23",
"content": "@Helpers",
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},
{
"id": 1036438928774938800,
"author_id": 297830080774930400,
"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 20:38:16",
"content": "You want the first 2 to meet at x=-3 so plug in -3 into each and set them equal. The last 2 should meet at x=-9 so plug -9 into both and set them equal",
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"author_id": 297830080774930400,
"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 20:38:45",
"content": "This gives you 2 equations in 2 variables that you can try to solve",
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"id": 1036439108400193700,
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"timestamp": "10/30/2022 20:38:59",
"content": "what variable do i plug in",
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"id": 1036439119783538800,
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"timestamp": "10/30/2022 20:39:02",
"content": "as",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 20:39:55",
"content": "You plug in numbers for x",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 20:40:03",
"content": "You don't know what m and n are yet",
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"id": 1036439396183982100,
"author_id": 279726292512014340,
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"timestamp": "10/30/2022 20:40:08",
"content": "i see",
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"id": 1036439411908431900,
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"timestamp": "10/30/2022 20:40:11",
"content": "what am i trying to get",
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"id": 1036439424025772200,
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"timestamp": "10/30/2022 20:40:14",
"content": "when i plug that in",
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"id": 1036439499187687400,
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"author_name": "killin",
"timestamp": "10/30/2022 20:40:32",
"content": "like am i doing the first function equals the second function",
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"timestamp": "10/30/2022 20:40:33",
"content": "Two equations, with some combination of m and n",
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"timestamp": "10/30/2022 20:40:42",
"content": "and subistuting x into -3",
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"timestamp": "10/30/2022 20:40:46",
"content": "x as -3*",
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"timestamp": "10/30/2022 20:41:00",
"content": "Yeah",
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"timestamp": "10/30/2022 20:41:23",
"content": "am i trying to get one side to equal 0",
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"timestamp": "10/30/2022 20:41:37",
"content": "like sorry im just confused on what im trying to get from that equation",
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"timestamp": "10/30/2022 20:41:42",
"content": "You don't have to",
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"timestamp": "10/30/2022 20:41:53",
"content": "I'll do the first eqn",
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"timestamp": "10/30/2022 20:43:12",
"content": "$-\\frac{8n-(-3m)}{-3+4} = \\sqrt{5(-3)+19}$",
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"timestamp": "10/30/2022 20:43:44",
"content": "**FLORIDA MAN**",
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"timestamp": "10/30/2022 20:44:56",
"content": "And simplify to get $-\\frac{8n+3m}{1}=\\sqrt{4}$",
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"timestamp": "10/30/2022 20:45:29",
"content": "So $8n+3m = -14$, that's your first equation",
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"timestamp": "10/30/2022 20:45:31",
"content": "**FLORIDA MAN**",
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"timestamp": "10/30/2022 20:45:42",
"content": "wouldnt the denominator in on t he left side of the equal sign be 1",
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"timestamp": "10/30/2022 20:45:51",
"content": "-3 + 4",
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"timestamp": "10/30/2022 20:45:54",
"content": "Oh my b",
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"timestamp": "10/30/2022 20:46:14",
"content": "$8n+3m = 2$",
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"timestamp": "10/30/2022 20:46:18",
"content": "**FLORIDA MAN**",
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"timestamp": "10/30/2022 20:47:47",
"content": "Do that's with x=9 for the second and third equations",
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"timestamp": "10/30/2022 20:52:15",
"content": "Ping me when you get the 2nd equation",
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"timestamp": "10/30/2022 20:53:25",
"content": "alright thank you",
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"timestamp": "10/30/2022 20:58:20",
"content": "how do i write this out though to show my work ion even know",
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"timestamp": "10/30/2022 21:05:50",
"content": "@FLORIDA MAN im at -8n - 3m = 2",
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"timestamp": "10/30/2022 21:07:34",
"content": "Uh",
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"timestamp": "10/30/2022 21:08:07",
"content": "Are you using the second and third equations?",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:09:52",
"content": "Tell me what you got plugging in 9 into the second equation",
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"timestamp": "10/30/2022 21:11:25",
"content": "8 = -9m-23n",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:12:33",
"content": "Yeah this is correct ^",
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"author_name": "killin",
"timestamp": "10/30/2022 21:12:45",
"content": "where do i go from here?",
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"timestamp": "10/30/2022 21:15:25",
"content": "So you have a system of equations \n$\\left\\{ \\begin{array}{lr}\n-8n-3m=2 \\\\\n-23n-9m=8\n\\end{array}$",
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"timestamp": "10/30/2022 21:15:28",
"content": "**FLORIDA MAN**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:15:57",
"content": "Do you know how to solve these?",
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"author_id": 279726292512014340,
"author_name": "killin",
"timestamp": "10/30/2022 21:24:51",
"content": "wait i have a negative 8",
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"id": 1036450652458602500,
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"timestamp": "10/30/2022 21:24:51",
"content": "and 3",
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"timestamp": "10/30/2022 21:24:55",
"content": "in my top equation",
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"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:25:52",
"content": "Negative signs are my mortal enemy :bhappy:",
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"author_id": 297830080774930400,
"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:26:40",
"content": "Your thing is right",
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"author_id": 297830080774930400,
"author_name": "FLORIDA MAN",
"timestamp": "10/30/2022 21:27:17",
"content": "Do you know how to solve a a system like this?",
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"timestamp": "10/30/2022 21:33:37",
"content": "not exactly",
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"timestamp": "10/30/2022 21:33:47",
"content": "i times the one that equals 2 by 3",
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"timestamp": "10/30/2022 21:33:50",
"content": "to get -9m",
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"id": 1036452922596282500,
"author_id": 279726292512014340,
"author_name": "killin",
"timestamp": "10/30/2022 21:33:53",
"content": "on both",
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"timestamp": "10/30/2022 21:33:56",
"content": "but do i subtract now",
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"timestamp": "10/30/2022 21:36:17",
"content": "yeah so you get $$\\begin{array}{lr} -24n-9m=6 \\\\ -23n - 9m = 8 \\end{array}$$",
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"timestamp": "10/30/2022 21:36:20",
"content": "and subtract",
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"timestamp": "10/30/2022 21:37:51",
"content": "**FLORIDA MAN**",
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"timestamp": "10/30/2022 21:38:14",
"content": "subtract the second from the first and you get an equation with only n",
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"timestamp": "10/30/2022 22:03:56",
"content": "@killin Has your question been resolved?",
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"timestamp": "10/30/2022 22:07:04",
"content": "Channel closed",
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] | help-9 | 6fadd843875d408595289dca73dacc8d |
201,010 | [
{
"id": 1067678344558149600,
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"timestamp": "01/25/2023 00:32:33",
"content": ".reopen",
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"content": "✅",
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"content": "@McLongShlong Has your question been resolved?",
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] | help-9 | f99d99c1b90e4bffa2e64e80924b4755 |
201,011 | [
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"timestamp": "01/25/2023 00:49:01",
"content": "Available help channel!",
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{
"id": 1067684401653231600,
"author_id": 943386909126820000,
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"timestamp": "01/25/2023 00:56:37",
"content": "may i get help on b)",
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"timestamp": "01/25/2023 00:56:38",
"content": "Pinned a message.",
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"id": 1067685802211037300,
"author_id": 562439909961498600,
"author_name": "(alex12000)",
"timestamp": "01/25/2023 01:02:11",
"content": "Its constant speed, because its in the middle of a plateau",
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"id": 1067686144373960700,
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"timestamp": "01/25/2023 01:03:33",
"content": "can you say its constant",
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"id": 1067686213147967500,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/25/2023 01:03:49",
"content": "its because of the horizontal line?",
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{
"id": 1067686318764720100,
"author_id": 943386909126820000,
"author_name": "- -",
"timestamp": "01/25/2023 01:04:15",
"content": "350 to 450 its the horizontal line",
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"id": 1067686396212559900,
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"timestamp": "01/25/2023 01:04:33",
"content": "Yes exactly",
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"id": 1067686565456908400,
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"timestamp": "01/25/2023 01:05:13",
"content": "so horizontal line doesnt mean that the object is at rest",
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"id": 1067686655542169600,
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"author_name": "(alex12000)",
"timestamp": "01/25/2023 01:05:35",
"content": "No because your y axis is speed in m/s",
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"content": "If it’s horizontal, it means your speed isn’t changing",
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"id": 1067686955405541400,
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"timestamp": "01/25/2023 01:06:46",
"content": "and does that therefore mean it’s constant?",
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"author_name": "monikanicity",
"timestamp": "01/25/2023 01:08:18",
"content": "Yes, constant means not changing",
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"id": 1067687341080182800,
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"timestamp": "01/25/2023 01:08:18",
"content": "Yes",
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"timestamp": "01/25/2023 01:08:25",
"content": "okay",
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"id": 1067687392024219800,
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"timestamp": "01/25/2023 01:08:30",
"content": "thank you so much",
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"timestamp": "01/25/2023 01:08:39",
"content": ".close",
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"timestamp": "01/25/2023 01:08:39",
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201,012 | [
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"content": "Could I have help with question 10 please",
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"author_id": 709050483335102600,
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"content": ",rccw",
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"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "01/25/2023 01:20:01",
"content": "draw a diagram",
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"content": "The equation I tried was: (x+17)(x+13) - 17 x 13 = 260",
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"timestamp": "01/25/2023 01:20:15",
"content": "But it didn’t work",
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"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "01/25/2023 01:20:31",
"content": "What did you consider x to be?",
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"timestamp": "01/25/2023 01:20:38",
"content": "The added on the sides",
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"timestamp": "01/25/2023 01:20:48",
"content": "Cos it’s same in length and width",
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"timestamp": "01/25/2023 01:21:39",
"content": "draw a diagram",
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"timestamp": "01/25/2023 01:21:56",
"content": "Alr thx ig",
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"timestamp": "01/25/2023 01:36:56",
"content": "@Vansh Has your question been resolved?",
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"timestamp": "01/25/2023 01:37:26",
"content": "Channel closed",
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] | help-9 | 264e711538ff4bd1b8c3029403942c15 |
201,013 | [
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"id": 1067695970646765600,
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"timestamp": "01/25/2023 01:42:36",
"content": "How do I solve this without lhospitals rule",
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"content": "1-cos(h) = 2sin^2(h/2)",
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"content": "This isn’t right",
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"timestamp": "01/25/2023 01:52:21",
"content": "But I don’t see why",
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"timestamp": "01/25/2023 01:53:34",
"content": "If the sqrt2 went away it would be good",
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"id": 1067700133170524200,
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"timestamp": "01/25/2023 01:59:08",
"content": "Am I not allowed to square root inside the limit",
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"id": 1067701270539927600,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/25/2023 02:03:39",
"content": "Sky's the limit",
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"content": "The answer should be 1/2",
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"content": "@Dark312 Has your question been resolved?",
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] | help-9 | 6cc8afff735242abb30761edd45fc86b |
201,014 | [
{
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"id": 1067710774660825100,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:41:25",
"content": "I have a question about differential equations",
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"author_name": "sloppymope",
"timestamp": "01/25/2023 02:42:13",
"content": "When they are from second order then can you say that y=e^sx and solve for s?",
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"timestamp": "01/25/2023 02:44:18",
"content": "Like here",
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"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:45:25",
"content": "Hey there",
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"author_name": "sloppymope",
"timestamp": "01/25/2023 02:45:33",
"content": "Hi",
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"timestamp": "01/25/2023 02:45:42",
"content": "Actually it depends on the coeffecients of the equation",
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"timestamp": "01/25/2023 02:46:04",
"content": "ok",
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"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:46:06",
"content": "And the general solutions is a linear combo of two functions",
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"timestamp": "01/25/2023 02:46:18",
"content": "Yea",
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"author_name": "Ann",
"timestamp": "01/25/2023 02:46:29",
"content": "as stated, no.",
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"timestamp": "01/25/2023 02:46:41",
"content": "Why not?",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/25/2023 02:46:43",
"content": "\"let y = e^(sx) and solve for s\" is a method that works for _linear differential equations with constant coefficients_",
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"id": 1067712128699605100,
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"timestamp": "01/25/2023 02:46:48",
"content": "the order does not matter",
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"id": 1067712200631930900,
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"timestamp": "01/25/2023 02:47:05",
"content": "it matters only insofar as it translates into the _degree_ of the char eq",
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"id": 1067712239664103400,
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"author_name": "Ann",
"timestamp": "01/25/2023 02:47:15",
"content": "which, if it is too high, may make said char eq hard to solve symbolically",
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"id": 1067712291023360000,
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"timestamp": "01/25/2023 02:47:27",
"content": "ok",
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"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:47:36",
"content": "And if I have a constant can I still do?",
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"author_name": "sloppymope",
"timestamp": "01/25/2023 02:47:51",
"content": "Linear coefficients but a constant",
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"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:47:55",
"content": "How deep are you into linear alg?",
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"id": 1067712445449252900,
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"author_name": "Ann",
"timestamp": "01/25/2023 02:48:04",
"content": "\"have a constant\" is vague.",
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"author_name": "Ann",
"timestamp": "01/25/2023 02:48:08",
"content": "\"linear coefficients\" is bad wording",
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"timestamp": "01/25/2023 02:48:38",
"content": "Ok I’m sorry",
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"timestamp": "01/25/2023 02:49:29",
"content": "What do you mean by ho deep?",
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"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:50:01",
"content": "Have you studied endomorphism reduction and eigenvectors etc?",
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"id": 1067713090738716700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/25/2023 02:50:37",
"content": "that sure is an assortment of vocabulary",
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"id": 1067713119390011400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/25/2023 02:50:44",
"content": "what's it got to do with the problem at hand tho",
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"id": 1067713265108521000,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:51:19",
"content": "I have no idea what this means maybe I just don’t know the English wording for it",
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"id": 1067713299069812900,
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"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:51:27",
"content": "I want to give him a cool demo of the general form of the solution",
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"timestamp": "01/25/2023 02:51:45",
"content": "Me neither 😂 I've studied it in french",
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"id": 1067713403222761600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/25/2023 02:51:52",
"content": "you people :sully:",
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"id": 1067713516590616700,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:52:19",
"content": "Cayley-Hamolton theorem?",
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"id": 1067713543299944400,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:52:25",
"content": "Hamilton*",
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},
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"id": 1067713689899253800,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:53:00",
"content": "Like the matrix thing",
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"id": 1067713733234802800,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:53:11",
"content": "Yeah yeah",
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"id": 1067713772673843200,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:53:20",
"content": "Oh ok",
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"id": 1067713922305630200,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/25/2023 02:53:56",
"content": "So how would I go about solving an equation in case I cannot substitute e^(sx)?",
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"id": 1067714030090854400,
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"timestamp": "01/25/2023 02:54:21",
"content": "You use Cayley+Hamilton 😁",
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"id": 1067714316003983400,
"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 02:55:30",
"content": "The general solution of such homogenous diff equ can be easily shown to be infinitely differentiable",
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"id": 1067714489954345000,
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"author_name": "sloppymope",
"timestamp": "01/25/2023 02:56:11",
"content": "Wdym by infinitely differentiable",
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"timestamp": "01/25/2023 02:56:29",
"content": "Gimme a sec",
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"content": "We say that f is infinitely differentiable (or of class C infinity) when you can differentiate f infinitely many times",
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"timestamp": "01/25/2023 02:58:25",
"content": "like e^x for example",
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"timestamp": "01/25/2023 02:58:30",
"content": "ok",
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"timestamp": "01/25/2023 02:58:44",
"content": "Really quick",
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"timestamp": "01/25/2023 02:59:01",
"content": "If you just want to solve second order homogenous differential equations",
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"timestamp": "01/25/2023 02:59:20",
"content": "Here's a decent breakdown for future reference",
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"timestamp": "01/25/2023 02:59:23",
"content": "https://www.mathsisfun.com/calculus/differential-equations-second-order.html",
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"timestamp": "01/25/2023 03:00:06",
"content": "But it's nuts how fast the cases branch off even under this restriction",
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"timestamp": "01/25/2023 03:00:29",
"content": "If we name E the set of functions that are infinitely differentiable on IR, and D the map from E to E that for every f in E assigns its derivative, we obtain an endomorphism",
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"timestamp": "01/25/2023 03:01:23",
"content": "@sloppymope feel free to ignore everything Qoz is saying",
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"timestamp": "01/25/2023 03:01:39",
"content": "What why",
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"timestamp": "01/25/2023 03:01:53",
"content": "Yeah seriously its unnecessary, but cool nonethless",
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"timestamp": "01/25/2023 03:02:15",
"content": "Just read this",
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"timestamp": "01/25/2023 03:03:11",
"content": "I haven't taken this class in at least 7 years",
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"content": "What I'm doing is basically trying to show you where the idea for e^rx came from",
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"timestamp": "01/25/2023 03:03:35",
"content": "Last class of community college",
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"content": "If you don't really care then I totally understand 😆",
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"content": "@sloppymope do you know what an endomorphism is?",
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"timestamp": "01/25/2023 03:06:07",
"content": "No idea to be honest",
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"timestamp": "01/25/2023 03:06:23",
"content": "you should've told me :opencry:",
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"timestamp": "01/25/2023 03:06:23",
"content": "I kinda understand",
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"author_name": "Disorganized",
"timestamp": "01/25/2023 03:06:54",
"content": "I don't have any -morphism-shaped containers in my brain either, unfortunately",
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"timestamp": "01/25/2023 03:07:04",
"content": "Sorry I probably wasn’t clear",
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"timestamp": "01/25/2023 03:08:06",
"content": "it's OK, it's up to you whether you want to continue with it or not",
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"timestamp": "01/25/2023 03:08:48",
"content": "I just wanna know how I can solve the problem if e^sx is not an option",
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"timestamp": "01/25/2023 03:09:08",
"content": "there are a couple of formulas that you should memorize",
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"timestamp": "01/25/2023 03:09:24",
"content": "Can you show me please",
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"timestamp": "01/25/2023 03:09:41",
"content": "They are found in that webpage that was linked by @Disorganized",
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"timestamp": "01/25/2023 03:09:46",
"content": "https://www.mathsisfun.com/calculus/differential-equations-second-order.html",
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"timestamp": "01/25/2023 03:09:52",
"content": "I read it",
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"id": 1067718002646196400,
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"timestamp": "01/25/2023 03:10:09",
"content": "yup that's basically it",
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"timestamp": "01/25/2023 03:10:20",
"content": "They all come down to that e^rx",
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"author_name": "sloppymope",
"timestamp": "01/25/2023 03:10:58",
"content": "But what if you can’t use it",
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"timestamp": "01/25/2023 03:11:02",
"content": "I actually misunderstood your question in the beginning and thought you wanted to write down y=e^rx and that's it",
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"timestamp": "01/25/2023 03:11:59",
"content": "But that quadratic formula always works for 2nd order diff eq with constant coefficients",
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"timestamp": "01/25/2023 03:12:18",
"content": "If the coefficients aren't constant there is no formula that I know of",
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"timestamp": "01/25/2023 03:12:54",
"content": "You'll just have to treat it case by case and try to notice something you could use to your advantage",
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"timestamp": "01/25/2023 03:13:09",
"content": "Oh so there’s no actual way to do it?",
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"timestamp": "01/25/2023 03:13:19",
"content": "There is no formula AFAIK",
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"timestamp": "01/25/2023 03:13:21",
"content": "Not for humans\nprobably",
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"timestamp": "01/25/2023 03:13:37",
"content": "but the MACHINES 😳",
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"author_id": 67934532199788540,
"author_name": "QozmiQ",
"timestamp": "01/25/2023 03:13:51",
"content": "Yeah the machines can approximate the results",
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"timestamp": "01/25/2023 03:14:05",
"content": "I don't think they can figure out the exact solution",
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"timestamp": "01/25/2023 03:14:11",
"content": "But the result is a Function",
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"content": "Yeah",
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"content": "They can approximate a function with polynomials",
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"timestamp": "01/25/2023 03:14:50",
"content": "and other stuff probably",
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"timestamp": "01/25/2023 03:15:08",
"content": "but the solution isn't a linear combination of...structures...we know how to deal with...yet...I think",
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"content": "ok",
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"timestamp": "01/25/2023 03:16:58",
"content": "Well",
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"timestamp": "01/25/2023 03:17:05",
"content": "I guess ima close this now",
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"timestamp": "01/25/2023 03:17:07",
"content": "Thank you all",
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"content": "Channel closed",
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] | help-9 | 7b9d24f3630c483c8e429f800c0516a0 |
201,015 | [
{
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"timestamp": "01/25/2023 03:53:59",
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{
"id": 1067736634898001900,
"author_id": 183668144404037630,
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"content": "the circle is **tangent** to all sides of the triangle",
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"id": 1067736649250918400,
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"content": "I saw that",
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"id": 1067736678762041300,
"author_id": 816599712441827300,
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"timestamp": "01/25/2023 04:24:21",
"content": "noticd",
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"id": 1067736684680183800,
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"id": 1067736729894785000,
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"content": "what do you know about two tangent segments to the same circle drawn from the same point",
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"id": 1067736765399576600,
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"timestamp": "01/25/2023 04:24:42",
"content": "equal distance",
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"content": "Any additional info about the triangle or anything?",
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"timestamp": "01/25/2023 04:25:22",
"content": "correct. now try to identify such pairs in your picture",
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"content": "none is required.",
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"content": "Z to A is 3cm",
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"timestamp": "01/25/2023 04:25:31",
"content": "Ok",
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"content": "do you have proof that ZA = 3 cm?",
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"content": "Oh yea nvm none is required",
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"content": "XB, XA\nYB, YC\nZC, ZA",
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"content": "Um XA is 3cm",
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"timestamp": "01/25/2023 04:26:52",
"content": "What is XA equal to in the figure",
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"content": "3cm",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:27:32",
"content": "=XB",
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"id": 1067737478364155900,
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"timestamp": "01/25/2023 04:27:32",
"content": "And whats the length of XY",
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"timestamp": "01/25/2023 04:27:46",
"content": "Uh 7",
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"timestamp": "01/25/2023 04:27:47",
"content": "cm",
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"timestamp": "01/25/2023 04:27:49",
"content": "Now you can find YB",
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"id": 1067737592398889000,
"author_id": 719938519841243100,
"author_name": "Sahad",
"timestamp": "01/25/2023 04:27:59",
"content": "And then CY",
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},
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"id": 1067737597050363900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:28:00",
"content": "How?",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:28:05",
"content": "Which is equal to CY",
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"author_name": "Shah",
"timestamp": "01/25/2023 04:28:12",
"content": "Yea",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:28:31",
"content": "XB+By=se7en",
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"id": 1067737750176010200,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:28:37",
"content": "You know one of em",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:28:39",
"content": "Ryt",
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"id": 1067737848817647600,
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"timestamp": "01/25/2023 04:29:00",
"content": "Yes",
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"id": 1067737859588632700,
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"author_name": "Shah",
"timestamp": "01/25/2023 04:29:03",
"content": "I mean not XB",
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"id": 1067737911702859800,
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"timestamp": "01/25/2023 04:29:15",
"content": "You know what XB is",
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"id": 1067737915716808700,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:29:16",
"content": "XB is XA",
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"timestamp": "01/25/2023 04:29:20",
"content": "proof?",
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"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:29:23",
"content": "NVM",
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"id": 1067737948746956800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:29:24",
"content": "I feel dumb",
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},
{
"id": 1067737950265286700,
"author_id": 719938519841243100,
"author_name": "Sahad",
"timestamp": "01/25/2023 04:29:24",
"content": "Tangents drawn from the same point are equal",
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"timestamp": "01/25/2023 04:29:25",
"content": "lol",
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"timestamp": "01/25/2023 04:29:28",
"content": "yea i c",
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"timestamp": "01/25/2023 04:29:40",
"content": "So 3 + BY = 7",
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"id": 1067738027801202800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:29:43",
"content": "4 = by",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/25/2023 04:29:49",
"content": "Yea",
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"author_name": "Shah",
"timestamp": "01/25/2023 04:29:57",
"content": "BY = CY",
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"id": 1067738103030235100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:30:01",
"content": "So yea",
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"id": 1067738103239954400,
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"timestamp": "01/25/2023 04:30:01",
"content": "And BY is equal to another line",
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"id": 1067738109229416400,
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"author_name": "Sahad",
"timestamp": "01/25/2023 04:30:02",
"content": "Yep",
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"id": 1067738132155486200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:30:08",
"content": "🙂",
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{
"id": 1067738162782289900,
"author_id": 719938519841243100,
"author_name": "Sahad",
"timestamp": "01/25/2023 04:30:15",
"content": "Gj",
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"id": 1067738173175767200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:30:18",
"content": "Thank you ONCE again",
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"id": 1067738187771936900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/25/2023 04:30:21",
"content": "🙂",
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"id": 1067738204947624000,
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"timestamp": "01/25/2023 04:30:25",
"content": "It's no problem",
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"id": 1067738261872726000,
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"author_name": "Shah",
"timestamp": "01/25/2023 04:30:39",
"content": "Goodbye sahad and clockworks hope to see you guys soon... or not?",
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"id": 1067738297641746400,
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"timestamp": "01/25/2023 04:30:47",
"content": "I hope so haha",
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"timestamp": "01/25/2023 04:30:54",
"content": "alr thanks and bye",
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"id": 1067738329459724300,
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"timestamp": "01/25/2023 04:30:55",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | f27843276cb949acb0b858b7729c560b |
201,016 | [
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"content": "Available help channel!",
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"id": 1067754871903760400,
"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 05:36:39",
"content": "limit as n approaches infinity of sin(pi * sqrt(4n^2+n-1))?",
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"author_id": 718461587236716500,
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"timestamp": "01/25/2023 05:39:24",
"content": "$\\lim_{n \\to \\infty} \\sin [\\pi (\\sqrt{4n^2 + n - 1})]$",
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"id": 1067755690942283800,
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"timestamp": "01/25/2023 05:39:54",
"content": "**NEONPerseus**",
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"timestamp": "01/25/2023 05:40:18",
"content": "Well since sine is continuous, you can take the limit inside",
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"id": 1067756158636523500,
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"timestamp": "01/25/2023 05:41:46",
"content": "so sin( lim (pi * (sqrt(n^2+n-1)))) ?",
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"timestamp": "01/25/2023 05:41:57",
"content": "Yeah but it doesn't really seem to approach anything",
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"timestamp": "01/25/2023 05:42:15",
"content": "yes",
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"timestamp": "01/25/2023 05:42:19",
"content": "i dont think its got a limit",
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},
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"content": "",
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"timestamp": "01/25/2023 05:42:29",
"content": "how can you prove it does not approach anything?",
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"id": 1067757345129631700,
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"timestamp": "01/25/2023 05:46:29",
"content": "I guess you can simplify it as $\\sin(\\pi\\sqrt{n²(4 + \\frac{1}{n} - \\frac{1}{n²})})$",
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"timestamp": "01/25/2023 05:46:31",
"content": "**biggboy**",
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"id": 1067757906189107300,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 05:48:42",
"content": "further to $\\sin(πn\\sqrt{4 + \\frac{1}{n} - \\frac{1}{n²}})$",
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"id": 1067757975911014400,
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"timestamp": "01/25/2023 05:48:59",
"content": "**biggboy**",
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"timestamp": "01/25/2023 05:51:06",
"content": "you can solve for $\\lim_{n \\to ∞} \\sqrt{4 + \\frac{1}{n} - \\frac{1}{n²}}$ seperately",
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"timestamp": "01/25/2023 05:51:24",
"content": "**biggboy**",
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"timestamp": "01/25/2023 05:51:36",
"content": "which is 0 right?",
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"timestamp": "01/25/2023 05:51:44",
"content": "nope",
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"timestamp": "01/25/2023 05:52:06",
"content": "the terms containing n goes to zero",
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"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 05:52:13",
"content": "so we are left with √4",
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"id": 1067758789115252700,
"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 05:52:13",
"content": "ops its 2",
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"id": 1067758805401747500,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 05:52:17",
"content": "yeah",
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"id": 1067758806228017300,
"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 05:52:17",
"content": "yeah",
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"timestamp": "01/25/2023 05:52:51",
"content": "if you want to show that you can solve for it seperately you can use the \"chain rule for limits\" which you can google",
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"author_name": "swltan",
"timestamp": "01/25/2023 05:53:52",
"content": "i will look into it",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 05:54:05",
"content": "but i am still confused about why you can take the limit inside the sin function?",
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"id": 1067759744942604300,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 05:56:01",
"content": "if the the outside function is continous at the limit's argument you can write it as the limit of the outside function of the limit's argument",
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"author_name": "biggboy",
"timestamp": "01/25/2023 05:56:24",
"content": "does that make sense",
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"id": 1067760014892204000,
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"author_name": "swltan",
"timestamp": "01/25/2023 05:57:05",
"content": "it does but they did not teach this to us yet",
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"author_name": "biggboy",
"timestamp": "01/25/2023 05:58:16",
"content": "well in this example it doesn't make much of a difference except for this I think",
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"author_name": "swltan",
"timestamp": "01/25/2023 05:59:02",
"content": "yes",
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"author_name": "swltan",
"timestamp": "01/25/2023 05:59:11",
"content": "i have one more question tell me if this is correct please",
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"author_name": "biggboy",
"timestamp": "01/25/2023 05:59:28",
"content": "sure",
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"author_name": "swltan",
"timestamp": "01/25/2023 05:59:50",
"content": "so we would be left with sin(lim 2pi*n)",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:00:02",
"content": "which is lim sin(2pi*n) right?",
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"author_name": "biggboy",
"timestamp": "01/25/2023 06:00:23",
"content": "yeah",
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"author_name": "swltan",
"timestamp": "01/25/2023 06:00:29",
"content": "and if n is a natural number",
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"author_name": "swltan",
"timestamp": "01/25/2023 06:00:35",
"content": "which it is but i forgot to specify",
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"id": 1067760928910737400,
"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 06:00:43",
"content": "oh",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:00:47",
"content": "isnt sin(2pi*n) always 0?",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:00:51",
"content": "so then lim 0 = 0?",
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"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 06:00:57",
"content": "yeah",
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"author_id": 893445345458126800,
"author_name": "biggboy",
"timestamp": "01/25/2023 06:01:15",
"content": "that is kind of a big deal to leave out :D",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:01:25",
"content": "i know lol",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:01:49",
"content": "but where im from we always use n to represent natural numbers and x to represent real numbers",
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"author_name": "swltan",
"timestamp": "01/25/2023 06:02:09",
"content": "and i thought you would catch on but its my fault i didnt specify",
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"author_name": "swltan",
"timestamp": "01/25/2023 06:02:40",
"content": "i appreciate your help",
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"author_id": 455025444559912960,
"author_name": "swltan",
"timestamp": "01/25/2023 06:03:09",
"content": ".close",
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"id": 1067761542977814700,
"author_id": 805217272087838700,
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"timestamp": "01/25/2023 06:03:09",
"content": "Channel closed",
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] | help-9 | 308ffb09b7fe4a2aba422283f38fc109 |
201,017 | [
{
"id": 1067761794812223500,
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"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 06:04:09",
"content": "Available help channel!",
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},
{
"id": 1067764231291805700,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/25/2023 06:13:50",
"content": "I have to translate 'every friend who eats sushi is tall' into predicate logic",
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"content": "Pinned a message.",
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"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "01/25/2023 06:15:04",
"content": "hmm... whats predicate logic?",
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"id": 1067764589829304300,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "01/25/2023 06:15:16",
"content": "this is new to me... but i can give it a try",
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"author_id": 937069242535272400,
"author_name": "Bono my tires are gone",
"timestamp": "01/25/2023 06:17:17",
"content": "Looks like p implies q to me.\nBut I am not sure.",
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"author_name": "Odie",
"timestamp": "01/25/2023 06:18:45",
"content": "I got ∀x((Friend(x) ^ ∀y(Sushi(y)) -> Eats(x,y)) -> Tall(x)\nbut the solution they gave is ∀x(Friend(x) ^ (∀y(Sushi(y) -> Eats(x,y))) -> Tall(x)",
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"id": 1067765582834958300,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/25/2023 06:19:13",
"content": "So they have the -> Eats(x,y) inside the ∀y() and I have it on the outside",
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"id": 1067765684790120400,
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"author_name": "Odie",
"timestamp": "01/25/2023 06:19:37",
"content": "But I still dont see why this is correct",
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"author_name": "Odie",
"timestamp": "01/25/2023 06:27:15",
"content": "yeah im just confused about the brackets I guess",
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"id": 1067767752300953600,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/25/2023 06:27:50",
"content": "like we need to first establish that x is all friends and y is all sushi before we can put the -> Eats(x,y), right?",
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"id": 1067768184662413300,
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"author_name": "Odie",
"timestamp": "01/25/2023 06:29:33",
"content": "thats why i put those in brackets together and then put -> Eats(x,y) after, but for some reason they put Friend(x) ^ on its own and then (Sushi(y) -> Eats(x,y)) together",
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"author_name": "Odie",
"timestamp": "01/25/2023 06:29:56",
"content": "sry if I didnt explain it very well haha",
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"timestamp": "01/25/2023 06:44:56",
"content": "@Odie Has your question been resolved?",
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"timestamp": "01/25/2023 06:51:14",
"content": ".close",
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"timestamp": "01/25/2023 06:51:15",
"content": "Channel closed",
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] | help-9 | 57df07dc95be4d7488d92599c7aa3714 |
201,018 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 06:52:15",
"content": "Available help channel!",
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},
{
"id": 1067776842985123800,
"author_id": 917785506471887000,
"author_name": "levlevon",
"timestamp": "01/25/2023 07:03:57",
"content": "I want to try and prove that if f' is bounded in (a,b) and f is continuous in (a,b)\nthan f has Uniform continuity in (a,b)",
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"timestamp": "01/25/2023 07:03:58",
"content": "Pinned a message.",
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"author_id": 917785506471887000,
"author_name": "levlevon",
"timestamp": "01/25/2023 07:04:19",
"content": "1. is that even correct?\n2. how to begin proving it(if it is)",
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"id": 1067777276223168600,
"author_id": 917785506471887000,
"author_name": "levlevon",
"timestamp": "01/25/2023 07:05:40",
"content": "I used only open segments but if it works with closed ones that also helps",
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"author_name": "levlevon",
"timestamp": "01/25/2023 07:10:22",
"content": "nvm",
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"author_name": "levlevon",
"timestamp": "01/25/2023 07:10:24",
"content": ".close",
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"timestamp": "01/25/2023 07:10:24",
"content": "Channel closed",
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] | help-9 | f2b78f7f1d5b4821b83803869fb0efcd |
201,019 | [
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"timestamp": "01/25/2023 07:19:32",
"content": "Available help channel!",
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},
{
"id": 1067782401910132700,
"author_id": 259785573332549630,
"author_name": "prop",
"timestamp": "01/25/2023 07:26:03",
"content": "when defining vectors we can say fx. $v\\in R^2$ but can you define a 2x2 matrix the same way?",
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"content": "Pinned a message.",
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"timestamp": "01/25/2023 07:26:05",
"content": "**prop**",
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"author_name": "prop",
"timestamp": "01/25/2023 07:26:35",
"content": "like $matrix \\in R_2^2$ lol",
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"id": 1067782547590893600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/25/2023 07:26:37",
"content": "**prop**",
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"id": 1067782606013354100,
"author_id": 259785573332549630,
"author_name": "prop",
"timestamp": "01/25/2023 07:26:51",
"content": "or do you just say a 2x2 matrix",
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"id": 1067782764629336200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/25/2023 07:27:29",
"content": "you can write $\\bR^{2\\times 2}$ for the set of all 2 by 2 matrices",
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"id": 1067782772653031400,
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"timestamp": "01/25/2023 07:27:31",
"content": "**Ann**",
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"id": 1067782772929855500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/25/2023 07:27:31",
"content": "$\\in\\mathbb{R}^{2\\times 2}$ ?",
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},
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"id": 1067782783583395800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/25/2023 07:27:34",
"content": "**SilverSoldier**",
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"timestamp": "01/25/2023 07:27:43",
"content": "oof ty guys",
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"timestamp": "01/25/2023 07:27:49",
"content": "thats neat",
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"timestamp": "01/25/2023 07:28:12",
"content": ".close",
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"timestamp": "01/25/2023 07:28:12",
"content": "Channel closed",
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}
] | help-9 | 1e396900c0904f04a981460b793349d0 |
201,020 | [
{
"id": 1036461528389521400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/30/2022 22:08:04",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1036462488075649000,
"author_id": 470064639007522800,
"author_name": "Elongated musk rat",
"timestamp": "10/30/2022 22:11:53",
"content": "how big of a magnet would it take to stop a 0.0186 pound piece of steel going 300m/s?",
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{
"id": 1036462489912737900,
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"timestamp": "10/30/2022 22:11:54",
"content": "Pinned a message.",
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"author_name": "Elongated musk rat",
"timestamp": "10/30/2022 22:12:54",
"content": "more of a physics question",
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{
"id": 1036463298637463700,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "10/30/2022 22:15:06",
"content": "what do you mean by how big?",
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"id": 1036463327360065700,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "10/30/2022 22:15:13",
"content": "do you mean how strong of a magnet?",
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"content": "also @Elongated musk rat, how far away are the magnet and steel, and is the steel moving directly towards the magnet?",
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"content": "@Elongated musk rat Has your question been resolved?",
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"timestamp": "10/30/2022 22:35:16",
"content": "the piece of steel will be about 2 inches above it",
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"timestamp": "10/30/2022 22:35:55",
"content": "the magnet would be flat on the ground",
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"timestamp": "10/30/2022 22:36:01",
"content": "is gravity a concern?",
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"content": "yes",
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"timestamp": "10/30/2022 22:36:06",
"content": "no",
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"timestamp": "10/30/2022 22:36:25",
"content": "what do you mean by stop?",
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"timestamp": "10/30/2022 22:36:51",
"content": "complete stop and the steel hits the magnet",
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"timestamp": "10/30/2022 22:37:00",
"content": "0m/s",
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"timestamp": "10/30/2022 22:37:29",
"content": "do you know the force between a magnet and a particle?",
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"timestamp": "10/30/2022 22:37:35",
"content": "and do you know kinematics?",
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"content": "no💀",
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"timestamp": "10/30/2022 22:38:13",
"content": "this is just a question i had while i was in the shower",
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"content": "its a fairly complicated question",
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"timestamp": "10/30/2022 22:39:05",
"content": "first of all, wouldn't the magnet attract the steel?",
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"timestamp": "10/30/2022 22:39:13",
"content": "so the steel would actually accelerate",
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"timestamp": "10/30/2022 22:39:58",
"content": "ah shit this was a dumb question",
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"timestamp": "10/30/2022 22:40:47",
"content": "well in theory if the magnet was strong enough itd pull the steel into the magnet stopping it",
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"timestamp": "10/30/2022 22:41:08",
"content": "can you draw what you had in imnd",
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"timestamp": "10/30/2022 22:41:09",
"content": "mind",
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"timestamp": "10/30/2022 22:42:03",
"content": "ye",
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"timestamp": "10/30/2022 22:43:43",
"content": "grey is magnet",
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"timestamp": "10/30/2022 22:43:47",
"content": "black is the steel",
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"timestamp": "10/30/2022 22:44:35",
"content": "💀",
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"timestamp": "10/30/2022 22:44:42",
"content": "so the steel is moving by the magnet? not towards it?",
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"content": "yes",
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"timestamp": "10/30/2022 22:45:03",
"content": "the magnet would be on the floor",
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"timestamp": "10/30/2022 22:45:17",
"content": "and the steel would travel over it",
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"timestamp": "10/30/2022 23:15:17",
"content": "@Elongated musk rat Has your question been resolved?",
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"content": "@Elongated musk rat Has your question been resolved?",
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201,021 | [
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"content": "Oh that's the magnitude of the vector",
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"content": "@Hepsima 志龙 Has your question been resolved?",
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] | help-9 | 267220bf35aa4e3eb84fae4548773e2b |
201,022 | [
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"content": "Anyone here",
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] | help-9 | d9474489fe5447e7b3c2e7c2ea373f63 |
201,023 | [
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"content": "@Relical Has your question been resolved?",
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] | help-9 | 9e0c52f74247434caf11ef45661ab58c |
201,024 | [
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"content": "Working with Characteristic functions and probability distributions, getting the hang of it but I'm not sure what happens here, I've got a probability distribution of p(x) = 1/N for 1<|x|<2 and 0 otherwise, would I get two characteristic functions?",
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"timestamp": "01/25/2023 09:57:57",
"content": "Pinned a message.",
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] | help-9 | 72e82ee640c04967bad334d79637c989 |
201,025 | [
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"content": "#12?",
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"author_id": 517943524688396300,
"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:41:49",
"content": "Yep",
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"author_name": "monikanicity",
"timestamp": "01/25/2023 12:42:23",
"content": "so you're missing the base to apply the area formula",
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"content": "how can we find the length of the base?",
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"timestamp": "01/25/2023 12:43:42",
"content": "Pythagorean theorem?",
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"content": "yeah",
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"timestamp": "01/25/2023 12:44:07",
"content": "Ok my problem is",
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"author_id": 517943524688396300,
"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:44:17",
"content": "That with these type of triangles",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:44:25",
"content": "Idk what the legs are",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:44:28",
"content": ":rh_cskull:",
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{
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/25/2023 12:44:40",
"content": "there are two triangles",
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"author_name": "monikanicity",
"timestamp": "01/25/2023 12:44:42",
"content": "but you know what the hypotenuse is, right?",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:45:09",
"content": "Yeah the longest side Ik the adjacent and opposite",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:45:40",
"content": "But this isn’t a cos sin and tan",
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"timestamp": "01/25/2023 12:45:41",
"content": "These are the 2 calculations you need to do",
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"timestamp": "01/25/2023 12:45:44",
"content": "also the side opposite the right angle",
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"timestamp": "01/25/2023 12:46:13",
"content": "Basically you separate the big triangle into 2 smaller ones",
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"timestamp": "01/25/2023 12:47:11",
"content": "Ok so do I solve this ?",
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"timestamp": "01/25/2023 12:47:17",
"content": "The equations?",
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"timestamp": "01/25/2023 12:47:33",
"content": "Yes, each one gives you a different side of the triangle",
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"timestamp": "01/25/2023 12:48:08",
"content": "Ok I let you know when I get the answer tell me if it’s right",
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"timestamp": "01/25/2023 12:48:23",
"content": "Sure",
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"timestamp": "01/25/2023 12:51:01",
"content": "I hope this makes it even clearer",
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"timestamp": "01/25/2023 12:51:36",
"content": "Ok so x is 629 and y is 244?",
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"timestamp": "01/25/2023 12:51:51",
"content": "Ummm this seems a little too big...",
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"content": ":rh_cskull:",
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"timestamp": "01/25/2023 12:52:22",
"content": "Make sure to sqrt()!",
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"content": "Oh ok",
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"content": "So I square root 244?",
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"timestamp": "01/25/2023 12:56:49",
"content": "I got 41.4 ad the base",
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"timestamp": "01/25/2023 12:57:28",
"content": "I got 40.7",
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"timestamp": "01/25/2023 12:57:39",
"content": "We probably rounded different",
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"timestamp": "01/25/2023 12:57:52",
"content": "I rounded to the nearest 10",
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"timestamp": "01/25/2023 12:58:05",
"content": "To get the most accurate result you should round at the very end of the calculations",
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"author_name": "GarlicBredFries",
"timestamp": "01/25/2023 12:58:15",
"content": "STOP",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/25/2023 12:58:30",
"content": "Why is it 144+100",
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"author_id": 517943524688396300,
"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:58:46",
"content": "Wym?",
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"author_id": 517943524688396300,
"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:58:50",
"content": ":androidskullemoji:",
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"author_name": "GarlicBredFries",
"timestamp": "01/25/2023 12:59:03",
"content": "y^2+10^2=12^2",
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"timestamp": "01/25/2023 12:59:07",
"content": "Oops I also missed that...",
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"timestamp": "01/25/2023 12:59:16",
"content": "To isolate y, do you add or subtract",
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"timestamp": "01/25/2023 12:59:20",
"content": "The 10^2",
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"timestamp": "01/25/2023 12:59:36",
"content": "Tbh",
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"timestamp": "01/25/2023 12:59:38",
"content": "Idk",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 12:59:54",
"content": "So subtract 100?",
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"timestamp": "01/25/2023 12:59:56",
"content": "Yes",
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"timestamp": "01/25/2023 13:00:03",
"content": "Ok lol",
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"author_id": 1067736481306783700,
"author_name": "praxi",
"timestamp": "01/25/2023 13:00:26",
"content": "Thanks @GarlicBredFries for noticing the mistake",
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"author_name": "GarlicBredFries",
"timestamp": "01/25/2023 13:00:33",
"content": "Yeah np",
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"timestamp": "01/25/2023 13:00:41",
"content": "Lmao",
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"timestamp": "01/25/2023 13:00:43",
"content": "Ok I got 44",
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"author_name": "Brandon😏",
"timestamp": "01/25/2023 13:00:58",
"content": "So x is still add",
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"timestamp": "01/25/2023 13:02:21",
"content": "My teacher told me to round the front number to the nearest 10",
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"content": "Is that correct to solve",
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"content": "This is how you should solve the 2nd equation",
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"content": "I thought I’m supposed to add not subtract",
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"content": "Notice we SUBTRACT the 10 because we had to isolate the x",
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"content": "Wym by isolate the x",
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"content": "To solve for X we have to first isolate it",
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"content": "We do that by subtracting (10^2) from both sides",
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"content": "Which gives us the 2nd equation you see here bottom",
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"content": "Does this make sense to you?",
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"content": "Yes",
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"timestamp": "01/25/2023 13:10:53",
"content": "Excuse my hand writing",
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"timestamp": "01/25/2023 13:11:43",
"content": "Final answer was 136,5",
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"content": "It should be 136.7 with proper rounding",
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"content": "Lol",
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"timestamp": "01/25/2023 13:12:46",
"content": "I don’t think my teacher will mind",
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"timestamp": "01/25/2023 13:13:03",
"content": "Then you're good to go",
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"content": "He’s pretty easy when it comes to things like that",
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"content": "Ok Ty",
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"content": "I actually understand for once since we stopped doing tan sin and cos",
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"content": "No problem",
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"timestamp": "01/25/2023 13:14:03",
"content": "Yeah, it takes time to really get what's going on with these functions...",
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"timestamp": "01/25/2023 13:14:55",
"content": "Yeah like the other was so much easier than the Pythagorean",
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"timestamp": "01/25/2023 13:29:55",
"content": "@Brandon😏 Has your question been resolved?",
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] | help-9 | 4902b9269e764b7e83bbdf0f5d76608d |
201,026 | [
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"content": "How do i simplify k^-4",
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"content": "it cannot be simplified. Alternative ways of writting that is e.g.",
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"content": "you cant really simplify it, you can rewrite it as 1/k^4 if you like that more",
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"content": "But I don't really think it is better",
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"content": "ahhh ok makes sense, i just said simplify because it said to simplify it, what u said sparked a memory thanks",
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"content": "this one i also need help with lmao",
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"content": "1/2b^-3",
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"content": "What do you think it is?",
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"content": "x^-1=1/x",
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"content": "Oh, how did you mean it? (1/2)*b^-3 or the expression I sent?",
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"content": "$\\frac{1}{2} b^{-3}$",
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"content": "**rbit ✨**",
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"content": "?",
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"timestamp": "01/25/2023 14:01:30",
"content": "sorry i meant the first one",
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"content": "the 1 over 2b^-3",
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"content": "Okay, how would you rewrite 1/x using exponent?",
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"content": "Nvm, here is solution. I recommend you to remember this one, because it's definition of negative exponents",
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"content": "ah ok",
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"content": "Can you apply it to solve this?",
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"content": "small hint",
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"timestamp": "01/25/2023 14:04:30",
"content": "2b^-1?",
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"timestamp": "01/25/2023 14:04:35",
"content": "oop",
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"timestamp": "01/25/2023 14:04:40",
"content": "Almost",
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"timestamp": "01/25/2023 14:04:47",
"content": "But good job",
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"content": "2b^-3?",
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"content": "Still one thing is missing, look at my hint",
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"content": "Do you understand this screenshot?",
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"content": "not rlly",
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"content": "because 1/x=x^-1,",
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"id": 1067883479150362600,
"author_id": 951190447185875000,
"author_name": "MathIsAlwaysRight",
"timestamp": "01/25/2023 14:07:41",
"content": "Do you get this one?",
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"timestamp": "01/25/2023 14:07:56",
"content": "no",
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"timestamp": "01/25/2023 14:08:49",
"content": "It's just using this identity. You can't really understand this definition because it's definition",
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"timestamp": "01/25/2023 14:09:06",
"content": "it's definition of what negative exponent means",
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"id": 1067883908332535900,
"author_id": 622199565726122000,
"author_name": "Sparkk",
"timestamp": "01/25/2023 14:09:24",
"content": "when you switch the number on Numerator with the number on denominator you switch the signs of their power",
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"author_name": "Sparkk",
"timestamp": "01/25/2023 14:10:14",
"content": "so like\n1^2/x^3\nwhen you switch them it becomes\nx^-3/1^-2",
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"author_name": "Meningitis",
"timestamp": "01/25/2023 14:11:24",
"content": "i still dont rlly understand",
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"id": 1067884858409500700,
"author_id": 1045432969487196300,
"author_name": "UsingApp",
"timestamp": "01/25/2023 14:13:10",
"content": "give me 4 mins",
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"timestamp": "01/25/2023 14:13:50",
"content": "what is x^0",
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"author_id": 1045432969487196300,
"author_name": "UsingApp",
"timestamp": "01/25/2023 14:16:12",
"content": "when u divide variables with exponents you take them away from eachother",
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"timestamp": "01/25/2023 14:16:36",
"content": "so 1/x is actually\n\n\nx^0 ÷ x^1",
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"timestamp": "01/25/2023 14:16:44",
"content": "0-1 = -1",
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"id": 1067885811065950200,
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"author_name": "UsingApp",
"timestamp": "01/25/2023 14:16:57",
"content": "therefore 1/x = x^-1",
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"timestamp": "01/25/2023 14:26:24",
"content": "@Meningitis Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | f12bd5089249446394b1ab4eadf0a28f |
201,027 | [
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"content": "Available help channel!",
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"id": 1067892875427332100,
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"content": "Can I have some help",
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"id": 1067892877847449600,
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"timestamp": "01/25/2023 14:45:27",
"content": "Just ask",
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"content": "Ok",
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"id": 1067893274989306000,
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"author_name": "uszik",
"timestamp": "01/25/2023 14:46:37",
"content": "Do you know how to do projectile",
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"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "01/25/2023 14:49:03",
"content": "That seems a test :thonk:",
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"id": 1067893938079412200,
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"author_name": "uszik",
"timestamp": "01/25/2023 14:49:15",
"content": "It's an assignment",
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"id": 1067894014638031000,
"author_id": 795146547540131800,
"author_name": "uszik",
"timestamp": "01/25/2023 14:49:33",
"content": "But it's formative so it doesn't count towards my mark",
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"timestamp": "01/25/2023 14:50:05",
"content": "do you know quadratic formula",
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"author_name": "uszik",
"timestamp": "01/25/2023 14:50:12",
"content": "Yea",
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"timestamp": "01/25/2023 14:50:38",
"content": "do you know how to use that in a)",
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"id": 1067894319383597200,
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"author_name": "uszik",
"timestamp": "01/25/2023 14:50:46",
"content": "No",
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"id": 1067894929621266600,
"author_id": 795146547540131800,
"author_name": "uszik",
"timestamp": "01/25/2023 14:53:11",
"content": "Do you?",
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"id": 1067895513917165600,
"author_id": 795146547540131800,
"author_name": "uszik",
"timestamp": "01/25/2023 14:55:31",
"content": "Hello?",
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"id": 1067897140506013700,
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"author_name": "uszik",
"timestamp": "01/25/2023 15:01:58",
"content": "...",
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"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 15:16:59",
"content": "@uszik Has your question been resolved?",
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"timestamp": "01/25/2023 15:29:00",
"content": "No",
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"author_name": "tacku",
"timestamp": "01/25/2023 15:33:18",
"content": "@uszik",
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"author_name": "uszik",
"timestamp": "01/25/2023 15:33:56",
"content": "So what is t",
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"author_name": "tacku",
"timestamp": "01/25/2023 15:34:16",
"content": "do the calculation urself",
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"author_name": "mas",
"timestamp": "01/25/2023 15:34:27",
"content": "Time",
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"author_name": "uszik",
"timestamp": "01/25/2023 15:34:44",
"content": "Is t 0.36",
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"id": 1067905435266470000,
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"author_name": "uszik",
"timestamp": "01/25/2023 15:34:56",
"content": "Can u confirm",
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"author_name": "tacku",
"timestamp": "01/25/2023 15:35:12",
"content": "well i didn't really calculate it, u can type it in ur calculator",
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"author_name": "tacku",
"timestamp": "01/25/2023 15:35:22",
"content": "they are more reliable than me",
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"id": 1067905565981933700,
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"author_name": "uszik",
"timestamp": "01/25/2023 15:35:27",
"content": "I got 0.36",
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"id": 1067905608709329000,
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"author_name": "uszik",
"timestamp": "01/25/2023 15:35:37",
"content": "What about you",
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"author_name": "tacku",
"timestamp": "01/25/2023 15:35:55",
"content": "well if the calculator says 0.36 then its 0.36",
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"id": 1067905715064295400,
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"timestamp": "01/25/2023 15:36:03",
"content": "Ok",
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"id": 1067905718889492600,
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"author_name": "tacku",
"timestamp": "01/25/2023 15:36:04",
"content": "i dont want to expand that whole thing",
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"id": 1067905791308349600,
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"timestamp": "01/25/2023 15:36:21",
"content": "Thanks",
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"id": 1067905816448995500,
"author_id": 677014662797328400,
"author_name": "tacku",
"timestamp": "01/25/2023 15:36:27",
"content": "ure welcome",
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"content": "@uszik Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 13a8964fd0654f479847c529e16052e7 |
201,028 | [
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"id": 1067927978413137900,
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"author_name": "Stefan",
"timestamp": "01/25/2023 17:04:31",
"content": "why does the shear modulus fall away when taking the derrivative of the angle of twist?",
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"timestamp": "01/25/2023 17:05:06",
"content": "like ML/2GJ becomes M_r/J",
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"content": "@Stefan Has your question been resolved?",
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] | help-9 | a649bf3b29f24a52a7d6645075817f98 |
201,029 | [
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"timestamp": "01/25/2023 17:32:45",
"content": "Something like that",
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"id": 1067935369951191200,
"author_id": 290592478904582140,
"author_name": "halflife",
"timestamp": "01/25/2023 17:33:53",
"content": "There no given number I am not sure how to determine the area of this lune",
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"timestamp": "01/25/2023 17:44:09",
"content": "So how do i find area of small circle?",
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"id": 1067937955898990600,
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"timestamp": "01/25/2023 17:44:10",
"content": "For R",
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"id": 1067939168229007500,
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"timestamp": "01/25/2023 17:48:59",
"content": "This is my equation",
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"timestamp": "01/25/2023 18:03:59",
"content": "@halflife Has your question been resolved?",
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"timestamp": "01/25/2023 18:34:15",
"content": "@halflife Has your question been resolved?",
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"timestamp": "01/25/2023 18:42:05",
"content": "@Helpers",
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"id": 1067966579494637600,
"author_id": 290592478904582140,
"author_name": "halflife",
"timestamp": "01/25/2023 19:37:54",
"content": "i need some helps",
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},
{
"id": 1067966587375730800,
"author_id": 290592478904582140,
"author_name": "halflife",
"timestamp": "01/25/2023 19:37:56",
"content": "plz",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 20:37:56",
"content": "@halflife Has your question been resolved?",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 20:58:34",
"content": "Part a) the blue represents the center of the small circle, the red the larger circle. And the dotted line is the radius of the larger circle, and the solid line is the diameter of the smaller circle. As the problem says, the smaller circle’s diameter’s two endpoints must touch the larger circle, and you can see that with three examples where the size of the small circles changes",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 20:58:44",
"content": "",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 20:59:14",
"content": "That’s all I got time for, sorry. Good luck @halflife",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 21:05:08",
"content": "Ok I got a little more time. B) find the area of the sector (area of a pizza slice) and subtract a triangle from it. That’s how you find the region between the larger circle’s circumference and the smaller circle’s diameter. I’ll make a name for it: pre-lune. So you got the area of the small circle equal to lune + pre-lune + half a circle. You can find the lune area from here",
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"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 21:06:21",
"content": "C) looks like integration. For the region from the left tip of the smaller circle to its center: First integrate revolution of smaller circle. Then subtract it from the integration of the revolution of the larger circle.",
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"timestamp": "01/25/2023 21:07:08",
"content": "Same with D)",
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"id": 1067989119680127000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "01/25/2023 21:07:28",
"content": "And for C( and D), you have to make functions and a stuff to integrate",
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"timestamp": "01/25/2023 21:37:56",
"content": "Channel closed",
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}
] | help-9 | 63c1b8a7f1fe406da86be7227eed63a2 |
201,030 | [
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"content": "Available help channel!",
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},
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] | help-9 | ea19a0a9dd8a4160a363a0258d62cbeb |
201,031 | [
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"id": 1036564545524731900,
"author_id": 711600955082408100,
"author_name": "grrr.",
"timestamp": "10/31/2022 04:57:26",
"content": "the graph of a linear function f(x)=ax+b passes through the points A(3,4) and B(5,10). Determine the numbers a and b",
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"content": "Pinned a message.",
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"id": 1036564572196327400,
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"timestamp": "10/31/2022 04:57:32",
"content": "any1 can help",
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"id": 1036564646968176600,
"author_id": 711600955082408100,
"author_name": "grrr.",
"timestamp": "10/31/2022 04:57:50",
"content": "i know this is basic asf but ive been taught only math by using maple",
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"id": 1036564673060950000,
"author_id": 711600955082408100,
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"timestamp": "10/31/2022 04:57:56",
"content": "not by paper",
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"id": 1036564791092846600,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "10/31/2022 04:58:24",
"content": "find the gradient first",
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"content": "gradient = change in y / change in x",
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"timestamp": "10/31/2022 04:59:02",
"content": "the gradient is actually the value of a",
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{
"id": 1036565005652471800,
"author_id": 711600955082408100,
"author_name": "grrr.",
"timestamp": "10/31/2022 04:59:15",
"content": "is there a formula",
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{
"id": 1036565056881709200,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "10/31/2022 04:59:28",
"content": "this one",
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"id": 1036565112850493400,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "10/31/2022 04:59:41",
"content": "for points A and B what are the y-coordinates?",
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"id": 1036565198833725400,
"author_id": 794866187996495900,
"author_name": "xHqrry",
"timestamp": "10/31/2022 05:00:01",
"content": "and what are the x-coordinates?",
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},
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"id": 1036565221357146200,
"author_id": 711600955082408100,
"author_name": "grrr.",
"timestamp": "10/31/2022 05:00:07",
"content": "gotchu",
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"id": 1036565229909332000,
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"author_name": "grrr.",
"timestamp": "10/31/2022 05:00:09",
"content": "1 sec",
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"id": 1036565244585181200,
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"timestamp": "10/31/2022 05:00:12",
"content": "ok",
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"timestamp": "10/31/2022 05:15:09",
"content": "@grrr. Has your question been resolved?",
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"timestamp": "10/31/2022 05:30:09",
"content": "Channel closed",
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] | help-9 | 7da17c70ed1a4fa481cef2147adc878c |
201,032 | [
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"id": 1068004237109383200,
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"timestamp": "01/25/2023 22:07:32",
"content": "#real-complex-analysis",
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},
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"id": 1068004361122365600,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/25/2023 22:08:02",
"content": "these channels are usually better suited for pre-university questions",
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"timestamp": "01/25/2023 22:08:23",
"content": "oh, ok, I understand",
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"author_name": "Ronnie",
"timestamp": "01/25/2023 22:08:25",
"content": "thanks",
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"id": 1068004671018504300,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/25/2023 22:09:16",
"content": "np",
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"content": "Available help channel!",
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"timestamp": "01/25/2023 22:27:34",
"content": "how is this wrong?",
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"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 22:27:34",
"content": "Pinned a message.",
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{
"id": 1068009550080393200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/25/2023 22:28:39",
"content": ",w int cos^5/sin(x)",
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"id": 1068009569088966700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/25/2023 22:28:43",
"content": "Results provided by WolframAlpha",
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"id": 1068009736953401500,
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"author_name": "riemann",
"timestamp": "01/25/2023 22:29:23",
"content": "Looks like it's the right answer",
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},
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"id": 1068009823804858500,
"author_id": 494250850068332540,
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"timestamp": "01/25/2023 22:29:44",
"content": "idk what to do then",
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{
"id": 1068009975928066000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/25/2023 22:30:20",
"content": "Is it fussing about the absolute value",
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},
{
"id": 1068009991946109000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/25/2023 22:30:24",
"content": "It should be absolute value",
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"id": 1068010134174965800,
"author_id": 494250850068332540,
"author_name": "Cheese and quackers",
"timestamp": "01/25/2023 22:30:58",
"content": "das what i put",
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},
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"id": 1068010169776210000,
"author_id": 494250850068332540,
"author_name": "Cheese and quackers",
"timestamp": "01/25/2023 22:31:07",
"content": "went in the menu and everythign",
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"id": 1068010393944993900,
"author_id": 216619320866766850,
"author_name": "AAces",
"timestamp": "01/25/2023 22:32:00",
"content": "is it because you put x's instead of thetas?",
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"timestamp": "01/25/2023 22:32:10",
"content": "yup ty",
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"id": 1068010446960984000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/25/2023 22:32:13",
"content": "Amazing",
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},
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"id": 1068010457283170300,
"author_id": 494250850068332540,
"author_name": "Cheese and quackers",
"timestamp": "01/25/2023 22:32:15",
"content": ".close",
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},
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"id": 1068010459850092500,
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"author_name": "Mathematics Bot",
"timestamp": "01/25/2023 22:32:16",
"content": "Channel closed",
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] | help-9 | 32bab25f7af746279eb5cc46eee2bc90 |
201,033 | [
{
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"content": "Available help channel!",
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},
{
"id": 1068013096435728400,
"author_id": 639997176017059800,
"author_name": "Fata Morgana",
"timestamp": "01/25/2023 22:42:44",
"content": "I have ben stuck on number 8 for quite a while",
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"content": "Pinned a message.",
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"author_id": 639997176017059800,
"author_name": "Fata Morgana",
"timestamp": "01/25/2023 22:43:02",
"content": "I keep on getting the equation -1/3 * cos^3(x) - 1/3",
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"id": 1068013270734209300,
"author_id": 639997176017059800,
"author_name": "Fata Morgana",
"timestamp": "01/25/2023 22:43:26",
"content": "but when I plug in x = 0 for x it gives me -2/3, which isn't an otion",
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"id": 1068013323783786600,
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"author_name": "Fata Morgana",
"timestamp": "01/25/2023 22:43:39",
"content": "I have no idea what I am doing wrong, any help much appreciated 😭",
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"id": 1068015110242697300,
"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "01/25/2023 22:50:45",
"content": "You solved for **C** incorrectly.",
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"timestamp": "01/25/2023 22:52:53",
"content": "ohhhhh",
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"id": 1068015654705311700,
"author_id": 639997176017059800,
"author_name": "Fata Morgana",
"timestamp": "01/25/2023 22:52:54",
"content": "agh",
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"timestamp": "01/25/2023 22:52:55",
"content": "mf",
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"timestamp": "01/25/2023 22:53:25",
"content": "so it would be B right @Kookiemon",
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"content": "@Fata Morgana Has your question been resolved?",
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] | help-9 | 3ad5de24e3f84ac9864dd4a02d9b186c |
201,034 | [
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"content": "could someone help me tackle this questionm",
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] | help-9 | ad48b99130b64f0f9ad458c9fd1d757d |
201,035 | [
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{
"id": 1068031966059962500,
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"author_name": "zmat",
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"content": "how do u do this algebraically",
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"author_name": "OldBiscuit",
"timestamp": "01/26/2023 00:02:49",
"content": "set cases",
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"timestamp": "01/26/2023 00:03:28",
"content": "2<=x<3, 3<=x<=4",
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"content": "once i do that",
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"author_name": "zmat",
"timestamp": "01/26/2023 00:03:47",
"content": "do i just get rid of the absolute value sign",
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"content": "also i add these areas correct?",
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"timestamp": "01/26/2023 00:04:13",
"content": "get rid and multiply by 1 or -1 accordingly",
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"content": "so it becomes -x+3?",
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"author_name": "OldBiscuit",
"timestamp": "01/26/2023 00:04:58",
"content": "like when does |x-3| need to become -x+3",
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"timestamp": "01/26/2023 00:05:16",
"content": "its when x-3<0",
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"timestamp": "01/26/2023 00:05:44",
"content": "then, you can solve it",
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"timestamp": "01/26/2023 00:06:25",
"content": "$\\int_2^3 -x+3 \\dd x +\\int_3^4 x-3 \\dd x$",
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"timestamp": "01/26/2023 00:06:46",
"content": "**OldBiscuit**",
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"timestamp": "01/26/2023 00:06:55",
"content": "oh",
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"id": 1068034288114729100,
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"timestamp": "01/26/2023 00:06:57",
"content": "ok",
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"timestamp": "01/26/2023 00:06:59",
"content": "something like that",
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"timestamp": "01/26/2023 00:07:02",
"content": "i see",
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"timestamp": "01/26/2023 00:07:03",
"content": "thanks",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 1deaacc5e6c1451bb7b4b48589257a71 |
201,036 | [
{
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:08:55",
"content": "Due to the commutative property of addition and multiplication .. would all 3 of these work?",
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:09:28",
"content": "I am taught with the first one but just want to make sure",
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:10:24",
"content": "As long as I am not multiplying two alphas or two betas ..",
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:10:41",
"content": "I think this could work?",
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"id": 1068035364159230000,
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"author_name": "starlight",
"timestamp": "01/26/2023 00:11:13",
"content": "yes they mean the exact same thing",
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"id": 1068035393305465000,
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:11:20",
"content": "Thank you",
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"id": 1068035416458010600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/26/2023 00:11:26",
"content": "but tbh there is no real need you would need to change the orders",
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"timestamp": "01/26/2023 00:11:26",
"content": "Which one do you go with?",
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"timestamp": "01/26/2023 00:11:49",
"content": "1st is the way that is universally taught and memorized usually",
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"timestamp": "01/26/2023 00:12:58",
"content": "Well for sin addition, if I can’t remember which one first cos or sin it doesn’t matter",
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:13:12",
"content": "For sin I remember “the sign” is the same",
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"id": 1068035951298891900,
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"author_name": "chewie",
"timestamp": "01/26/2023 00:13:33",
"content": "just go with the one that you can remember best",
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"id": 1068035956592087000,
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"timestamp": "01/26/2023 00:13:35",
"content": "For cos I remember the sign is opposite but not mixed. Coscos - sinsin for cos addition",
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"id": 1068036223211421700,
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"author_name": "avidrunner",
"timestamp": "01/26/2023 00:14:38",
"content": "But for cos, I think I would need to start with coscos, not sinsin",
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"id": 1068036381047271400,
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"timestamp": "01/26/2023 00:15:16",
"content": "Only sin has that liberty.. I think I will just try to use sincos + cossin",
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"timestamp": "01/26/2023 00:15:58",
"content": ".close",
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{
"id": 1068036559863033900,
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"timestamp": "01/26/2023 00:15:59",
"content": "Channel closed",
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] | help-9 | 9141549c9d034d9385daf49c52c35bed |
201,037 | [
{
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"content": "Available help channel!",
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},
{
"id": 1068037613094711400,
"author_id": 903513730975957000,
"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:20:10",
"content": "A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy\nbeans. What is the ratio of white beans to navy beans?",
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"id": 1068037615342862500,
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"timestamp": "01/26/2023 00:20:10",
"content": "Pinned a message.",
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"author_id": 903513730975957000,
"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:20:15",
"content": "Hi",
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"id": 1068037692484489200,
"author_id": 903513730975957000,
"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:20:29",
"content": "im a gr7 btw so thats why this question is ez",
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"id": 1068037696074829800,
"author_id": 903513730975957000,
"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:20:29",
"content": "A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy\nbeans. What is the ratio of white beans to navy beans?",
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},
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"id": 1068038534419718100,
"author_id": 903513730975957000,
"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:23:49",
"content": "@Helpers",
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"author_name": "𝕬𝖇𝖍𝖎",
"timestamp": "01/26/2023 00:24:05",
"content": "srry i pinged early but i gtg sleep soon",
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"timestamp": "01/26/2023 00:25:17",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 6481800591784365867590a27660f691 |
201,038 | [
{
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"timestamp": "01/26/2023 00:30:12",
"content": "Available help channel!",
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},
{
"id": 1068041067162763400,
"author_id": 943386909126820000,
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"timestamp": "01/26/2023 00:33:53",
"content": "How do we solve 80 / 0.08",
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},
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"id": 1068041069264130000,
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"content": "Pinned a message.",
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"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "01/26/2023 00:34:17",
"content": "use a calculator",
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"id": 1068041181189124200,
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"content": "Shouldnt it be 80 / 8 / 100",
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"timestamp": "01/26/2023 00:34:33",
"content": "I cant use a calculator",
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"content": "which is 8000/8",
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"content": "80 / 8/100",
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"content": "0.02 is 100",
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"content": "so it's 80/1 times 100/8",
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"content": "which become 8000/8",
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"content": "im not sure im missing out something",
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"timestamp": "01/26/2023 00:40:18",
"content": "multiply 100 in both the numerator and denominator",
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"content": "im just doing it like this its getting me an incorrect answer",
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"content": "i thought you were asking for 80/0.08, not 80/0.02",
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"content": "its work out: 80/0.02",
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"content": "its in the question",
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"content": "uhhhhhhhhhh",
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"content": "What is the question exactly?",
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"content": "is it 80 / 0.08 OR 80 / 0.02",
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"timestamp": "01/26/2023 00:45:59",
"content": "this is right tho",
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"id": 1068044207777919000,
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"timestamp": "01/26/2023 00:46:22",
"content": "oh god",
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"id": 1068044231152783400,
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"timestamp": "01/26/2023 00:46:28",
"content": "the marking scheme",
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"id": 1068044267391561700,
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"timestamp": "01/26/2023 00:46:36",
"content": "it showed me an incorrect answer",
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"id": 1068044293866016800,
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"author_name": "jay.",
"timestamp": "01/26/2023 00:46:42",
"content": "what does the marking scheme say?",
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"id": 1068044314992726000,
"author_id": 943386909126820000,
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"timestamp": "01/26/2023 00:46:47",
"content": "i went confused",
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{
"id": 1068044433087541200,
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"timestamp": "01/26/2023 00:47:16",
"content": "it said the answer was something like 13 22, 2301",
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"id": 1068044500284485600,
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"timestamp": "01/26/2023 00:47:32",
"content": "anyway, thanks",
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"content": ".close",
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"timestamp": "01/26/2023 00:47:36",
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] | help-9 | 2d8cd57c64674b5f8084461616a25932 |
201,039 | [
{
"id": 1068044584954904600,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
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"content": ",w 80 / 0.02",
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"id": 1068044683533623300,
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"timestamp": "01/26/2023 00:48:15",
"content": "it was an incorrect marking scheme",
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"id": 1068044690517147600,
"author_id": 510789298321096700,
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"timestamp": "01/26/2023 00:48:17",
"content": "Results provided by WolframAlpha",
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"id": 1068044702819029000,
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"timestamp": "01/26/2023 00:48:20",
"content": "ah",
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"id": 1068044766803152900,
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"timestamp": "01/26/2023 00:48:35",
"content": "now i have found the right one",
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"timestamp": "01/26/2023 00:58:02",
"content": "Pinned a message.",
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"content": "ow",
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"timestamp": "01/26/2023 00:58:38",
"content": "i got the following a.54 b.17 c.10 d.7 e.16 f.3 g.12 and h.1",
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"timestamp": "01/26/2023 00:58:43",
"content": "but im not too sure",
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"timestamp": "01/26/2023 00:58:48",
"content": "anybody want to help double check",
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"timestamp": "01/26/2023 01:05:15",
"content": "any good soul",
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"author_name": "lil.flack0o",
"timestamp": "01/26/2023 01:05:17",
"content": "want to help",
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"author_name": "lil.flack0o",
"timestamp": "01/26/2023 01:05:19",
"content": "i know its long",
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"timestamp": "01/26/2023 01:05:21",
"content": "but its not bad",
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"timestamp": "01/26/2023 01:05:23",
"content": "j need confo",
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"content": ";0",
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"author_name": "jay.",
"timestamp": "01/26/2023 01:09:51",
"content": "what does \"individuals in regions (a)-(h)\" mean",
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"timestamp": "01/26/2023 01:09:58",
"content": "shouldn't you send those too?",
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"timestamp": "01/26/2023 01:14:29",
"content": "very top",
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"timestamp": "01/26/2023 01:14:32",
"content": "above that",
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"author_name": "lil.flack0o",
"timestamp": "01/26/2023 01:14:41",
"content": "sent two images",
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"author_name": "lil.flack0o",
"timestamp": "01/26/2023 01:18:54",
"content": "so how did i do",
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"timestamp": "01/26/2023 01:26:56",
"content": "@Helpers",
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"timestamp": "01/26/2023 01:41:56",
"content": "@lil.flack0o Has your question been resolved?",
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] | help-9 | 5eb3bb05f2a54e428985227658b5dd76 |
201,040 | [
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"id": 1068068790484615200,
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"author_name": "padron62",
"timestamp": "01/26/2023 02:24:03",
"content": "If a is a positive integer and the square of a is divisible by 72, then it is certainly true that a is divisible by:",
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"content": "Pinned a message.",
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"timestamp": "01/26/2023 02:25:40",
"content": "Have you started working on it yet?",
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"timestamp": "01/26/2023 02:26:40",
"content": "yes of course but could not find a solution",
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"timestamp": "01/26/2023 02:27:54",
"content": "Ok",
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"timestamp": "01/26/2023 02:28:01",
"content": "what is the square of a number",
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"timestamp": "01/26/2023 02:28:32",
"content": "multiplying a number by itself",
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"timestamp": "01/26/2023 02:29:26",
"content": "so if we have 6 ($2 \\cdot 3$) squared we would have ($2^2 \\cdot 3^2$) = 36",
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"content": "**dp**",
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"timestamp": "01/26/2023 02:30:47",
"content": "So see, a square just multiplies by two the exponents of the factors",
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"timestamp": "01/26/2023 02:31:30",
"content": "so, if we have 72=$2^3 \\cdot 3^2$, what factors are for sure in the square roiy",
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"timestamp": "01/26/2023 02:31:32",
"content": "**dp**",
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"author_name": "padron62",
"timestamp": "01/26/2023 02:32:19",
"content": "so is it 12?",
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"timestamp": "01/26/2023 02:32:54",
"content": "I would argue its 2^2 × 3 = 12, yes",
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"timestamp": "01/26/2023 02:33:05",
"content": "yaay thank you",
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"timestamp": "01/26/2023 02:48:05",
"content": "@padron62 Has your question been resolved?",
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] | help-9 | 30bac55e933f4d8e92ee5f7f4dc05963 |
201,041 | [
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"timestamp": "01/26/2023 03:09:02",
"content": "Is there a function $f : \\mathbb{R} \\mapsto \\mathbb{R}$ such that \n$\\lim_{u \\to x} f(u) = \\pm \\infty \\forall x \\in R$?",
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"content": "Pinned a message.",
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"content": "**Cusofay**",
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"content": "do you mean an elementary function?",
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"id": 1068080584225722400,
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"author_name": "ed",
"timestamp": "01/26/2023 03:10:55",
"content": "because you could just construct one that has that property",
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"content": "Can you give me an example plz",
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"timestamp": "01/26/2023 03:12:14",
"content": "The function isn't necessarily continous",
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"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/26/2023 03:12:45",
"content": "let f(x) be a function such that it has that property?",
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"author_name": "Cusofay",
"timestamp": "01/26/2023 03:13:19",
"content": "$f : \\mathbb{R} \\mapsto \\mathbb{R}$ ?",
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"timestamp": "01/26/2023 03:13:21",
"content": "**Cusofay**",
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"timestamp": "01/26/2023 03:13:32",
"content": "yeah?",
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"id": 1068081257138897000,
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"timestamp": "01/26/2023 03:13:35",
"content": "oh wait",
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"author_name": "ed",
"timestamp": "01/26/2023 03:13:47",
"content": "wait no it works?",
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"author_name": "Cusofay",
"timestamp": "01/26/2023 03:14:29",
"content": "$\\infty$ isn't real tho even if we re working with limits",
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"timestamp": "01/26/2023 03:14:31",
"content": "**Cusofay**",
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"timestamp": "01/26/2023 03:15:42",
"content": "A function with this property is basically $f(x)=\\pm \\infty \\forall x\\in \\mathbb{R}$",
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"timestamp": "01/26/2023 03:15:44",
"content": "**Cusofay**",
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"content": "yeah",
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"author_name": "Cusofay",
"timestamp": "01/26/2023 03:17:15",
"content": "But we cannot say that $\\infty$ belongs to $\\mathbb{R}$ right?",
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"timestamp": "01/26/2023 03:17:17",
"content": "**Cusofay**",
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"timestamp": "01/26/2023 03:17:57",
"content": "it does",
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"author_name": "ed",
"timestamp": "01/26/2023 03:18:09",
"content": "if a function maps R to R",
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"author_name": "ed",
"timestamp": "01/26/2023 03:18:15",
"content": "how can you output a value that tends to infinity?",
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"content": "",
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"timestamp": "01/26/2023 03:19:01",
"content": "I'm actually trying to solve a functional inequality",
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"timestamp": "01/26/2023 03:19:41",
"content": "(I thought that this was a contradiction)",
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"timestamp": "01/26/2023 03:21:25",
"content": "alright well",
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"id": 1068083349391941800,
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"timestamp": "01/26/2023 03:21:54",
"content": "it is",
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"timestamp": "01/26/2023 03:22:02",
"content": "we mean a real number that tends towards infinity",
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"id": 1068083427410194400,
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"timestamp": "01/26/2023 03:22:13",
"content": "the limit of a function has to be in the set that its outputting to",
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"timestamp": "01/26/2023 03:22:46",
"content": "okay",
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"timestamp": "01/26/2023 03:22:47",
"content": "I see",
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"author_name": "Cusofay",
"timestamp": "01/26/2023 03:22:59",
"content": "Thank you and have a nice day!",
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"timestamp": "01/26/2023 03:23:24",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 00ae2eda39354910ae8e7eef4aff70aa |
201,042 | [
{
"id": 1036579975450595300,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 05:58:44",
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"id": 1036581525912825900,
"author_id": 398632540749037600,
"author_name": "_sami",
"timestamp": "10/31/2022 06:04:54",
"content": "$$Exercise: -6x^2 + 12x$$",
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"content": "**\\_sami\\_**",
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"timestamp": "10/31/2022 06:05:09",
"content": "$$My answer: -6x(x-2)$$",
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"timestamp": "10/31/2022 06:05:25",
"content": "this seems correct mate",
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"author_name": "WhyWouldYouKap",
"timestamp": "10/31/2022 06:05:31",
"content": "what is the question asking u",
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"id": 1036581708012720100,
"author_id": 398632540749037600,
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"timestamp": "10/31/2022 06:05:37",
"content": "the books answer is",
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"id": 1036581732650061800,
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"timestamp": "10/31/2022 06:05:43",
"content": "$$6x(2-x)$$",
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"content": "**\\_sami\\_**",
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"timestamp": "10/31/2022 06:05:51",
"content": "this is the same thing",
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"id": 1036581780167344100,
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"timestamp": "10/31/2022 06:05:55",
"content": "if u expand it",
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"id": 1036581790904766500,
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"timestamp": "10/31/2022 06:05:57",
"content": "so both count as correct?",
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"timestamp": "10/31/2022 06:06:00",
"content": "yes\\",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "10/31/2022 06:06:02",
"content": "Yes",
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"id": 1036581817718939800,
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"timestamp": "10/31/2022 06:06:04",
"content": "oh nice",
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"author_name": "WhyWouldYouKap",
"timestamp": "10/31/2022 06:06:05",
"content": "one takes out the minus",
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"id": 1036581838505906300,
"author_id": 398632540749037600,
"author_name": "_sami",
"timestamp": "10/31/2022 06:06:09",
"content": "OHHH",
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"id": 1036581846391205900,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "10/31/2022 06:06:10",
"content": "one keeps it in front of the x",
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"id": 1036581862161776800,
"author_id": 398632540749037600,
"author_name": "_sami",
"timestamp": "10/31/2022 06:06:14",
"content": "WAIT I GET WHAT U MEAN",
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"id": 1036581881216520200,
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"timestamp": "10/31/2022 06:06:19",
"content": "omg",
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"id": 1036581889651245000,
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"author_name": "_sami",
"timestamp": "10/31/2022 06:06:21",
"content": "im so dumb",
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"author_name": "_sami",
"timestamp": "10/31/2022 06:06:23",
"content": "ok thank uu",
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"timestamp": "10/31/2022 06:06:27",
"content": "have a good one",
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"id": 1036581928641495000,
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"timestamp": "10/31/2022 06:06:30",
"content": "u too bro",
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"id": 1036581936149311500,
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 1c09134f22aa45b1af2cfb6462acd6d7 |
201,043 | [
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] | help-9 | be40a19c5bbc457eb9fa29d095d8f7c6 |
201,044 | [
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"content": "Available help channel!",
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},
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"timestamp": "01/26/2023 04:39:38",
"content": "I gotta place a thread of 5 units",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:39:59",
"content": "I gotta choose two points",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:40:21",
"content": "Such that... No matter where I place the thread...",
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{
"id": 1068103156376019000,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:40:36",
"content": "It touches one of those two points",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:41:02",
"content": "Thread can get folded at the ending where there r no turns",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:41:22",
"content": ".... Don't just tell answer.... Help me think",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "01/26/2023 04:42:12",
"content": "#mathematicalmetacognition",
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"id": 1068104235478167600,
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"timestamp": "01/26/2023 04:44:54",
"content": "I WANT HINTS DASSIT",
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"timestamp": "01/26/2023 04:59:54",
"content": "@kchhdjjbceehhdgj Has your question been resolved?",
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"timestamp": "01/26/2023 05:00:05",
"content": "@Helpers",
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"timestamp": "01/26/2023 05:30:06",
"content": "@kchhdjjbceehhdgj Has your question been resolved?",
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"timestamp": "01/26/2023 06:50:39",
"content": "@kchhdjjbceehhdgj Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 8c3d60a9200645c5a97e3a8433afe7ad |
201,045 | [
{
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"id": 1068157846295937000,
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"content": "I dont understand, why is he using the existential in this example",
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"content": "why dosent he use ∀x ?",
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"id": 1068158102739882100,
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"content": "since hes referring to all cats...",
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"content": "sure you can do that",
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"content": "for all cats c not kind(c)",
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"content": "wym",
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"author_name": "Odie",
"timestamp": "01/26/2023 08:22:44",
"content": "like its the same thing but with ¬∀x ?",
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"content": "nope",
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"timestamp": "01/26/2023 08:23:46",
"content": "not exists x P(x) is equivalent to",
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"timestamp": "01/26/2023 08:23:51",
"content": "I would translate no cat is kind as ¬∀x[cat(x)^(kind(x)]",
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"timestamp": "01/26/2023 08:24:00",
"content": "for all x not P(x)",
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"timestamp": "01/26/2023 08:24:05",
"content": "no that is completely different",
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"content": "what does it actually say in natural english",
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"timestamp": "01/26/2023 08:24:58",
"content": "cause thats how I would translate it",
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"content": "not all x is a cat and kind",
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"content": "not all cats are kind",
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"timestamp": "01/26/2023 08:25:28",
"content": "not the same",
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"id": 1068159825021771900,
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"timestamp": "01/26/2023 08:25:47",
"content": "its not? 😅",
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"timestamp": "01/26/2023 08:26:13",
"content": "yeah",
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"content": "for example lets say there are only 10 cats in the universe of discourse",
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"content": "if only 5 cats were kind",
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"id": 1068160020212089000,
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"timestamp": "01/26/2023 08:26:34",
"content": "then not all cats are kind is true",
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"timestamp": "01/26/2023 08:27:00",
"content": "ahhhhhh",
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"author_name": "Odie",
"timestamp": "01/26/2023 08:27:05",
"content": "yeah sorry I get you now",
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{
"id": 1068160257941045200,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:27:30",
"content": "Okok I think I get it now",
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{
"id": 1068160276697985000,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:27:35",
"content": "But one more question",
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"id": 1068160455866073200,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:28:18",
"content": "I can say ∀x[¬cat(x) V ¬(kind(x)], right?",
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{
"id": 1068160554692268200,
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"author_name": "Odie",
"timestamp": "01/26/2023 08:28:41",
"content": "or is that a different sentence in natural english",
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"id": 1068161036944933000,
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"timestamp": "01/26/2023 08:30:36",
"content": "well",
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},
{
"id": 1068161083581403100,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/26/2023 08:30:47",
"content": "this is equivalent",
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"id": 1068161123335028900,
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"author_name": "DerpZ",
"timestamp": "01/26/2023 08:30:57",
"content": "by demorgans laws",
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{
"id": 1068161328138686600,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:31:46",
"content": "to me it translates as everything is not a cat or not kind",
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"id": 1068161339928887400,
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"timestamp": "01/26/2023 08:31:48",
"content": "sounds weird",
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"id": 1068161372912890000,
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"author_name": "Odie",
"timestamp": "01/26/2023 08:31:56",
"content": "I cant tell if it makes sense or not",
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"id": 1068161745765544100,
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"author_name": "DerpZ",
"timestamp": "01/26/2023 08:33:25",
"content": "more practice will get you there",
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"id": 1068161797770719400,
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"author_name": "DerpZ",
"timestamp": "01/26/2023 08:33:38",
"content": "#proofs-and-logic if no one responds in the future btw",
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"id": 1068161917086089200,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:34:06",
"content": "That channel is even worse for people not responding 😖",
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"id": 1068162051891007500,
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"author_name": "Odie",
"timestamp": "01/26/2023 08:34:38",
"content": "I ask a question and ppl just ask a question right after my question",
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{
"id": 1068162132622966800,
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"timestamp": "01/26/2023 08:34:57",
"content": "like ok I guess your question is more important then mine",
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"author_name": "Odie",
"timestamp": "01/26/2023 08:35:30",
"content": "but yeah it is what it is ¯\\_(ツ)_/¯",
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"id": 1068162298390257700,
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"timestamp": "01/26/2023 08:35:37",
"content": "anyway thanks!",
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"id": 1068162302664249300,
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"author_name": "Odie",
"timestamp": "01/26/2023 08:35:38",
"content": "❤️",
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"id": 1068162376110702600,
"author_id": 996564019672535000,
"author_name": "Odie",
"timestamp": "01/26/2023 08:35:55",
"content": ".close",
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"id": 1068162379088675000,
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"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 08:35:56",
"content": "Channel closed",
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] | help-9 | d5f460b33b474e8e9a30a069ef6a8c38 |
201,046 | [
{
"id": 1068162631954878500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 08:36:56",
"content": "Available help channel!",
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},
{
"id": 1068163338049175700,
"author_id": 909218746801979400,
"author_name": "xzino",
"timestamp": "01/26/2023 08:39:45",
"content": "the cardinality of $$ \\{ x \\in P(\\{1,2...12}) :|x|=6 \\} $$ is this 12C6 ?",
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"timestamp": "01/26/2023 08:39:46",
"content": "Pinned a message.",
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"id": 1068163520597852200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/26/2023 08:40:28",
"content": "`\\{` and `\\}` for curly braces",
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},
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"id": 1068163532220284900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/26/2023 08:40:31",
"content": "**xzino**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_name": "Ann",
"timestamp": "01/26/2023 08:40:46",
"content": "but yes, it is 12C6 by definition",
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"timestamp": "01/26/2023 08:40:57",
"content": "@Ann wow thank you so much",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | e8b84afa86124e5b88f6f1385105ac1a |
201,047 | [
{
"id": 1068175120272728000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 09:26:34",
"content": "Available help channel!",
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"id": 1068178307847291000,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 09:39:14",
"content": "the thing in blue is regular chain rule and doing u sub to integrate ; can we do u substition for expressiion in gold",
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"content": "Pinned a message.",
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"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 09:40:13",
"content": "i'm looking for advice about u sub as well it seemsto confuse me",
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"id": 1068178838699397200,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 09:41:20",
"content": "what about when there were 3 functions f(g(h(x)))",
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"id": 1068178977312747500,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 09:41:53",
"content": "and basically how do u reverse something that had chain rule of 3 functions",
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"timestamp": "01/26/2023 09:56:54",
"content": "@🌌🌒 Has your question been resolved?",
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"author_name": "Duh Hello",
"timestamp": "01/26/2023 09:57:17",
"content": "\\begin{align*}\\dv{x}\\left(f(g(h(x)))\\right) & =f'(g(h(x)))\\cdot\\dv{x}(g(h(x)))\\\\ & =f'(g(h(x)))\\cdot g'(h(x))\\cdot h'(x) \\end{align*}",
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"id": 1068183041538805800,
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"author_name": "TeXit",
"timestamp": "01/26/2023 09:58:02",
"content": "**Duh Hello**",
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"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:00:26",
"content": "i do believe this is a moment where leibniz notation is a lot better, if $f=f(g(h(x)))$ then $$\\dv{f}{x}=\\pdv{f}{g}\\pdv{g}{x}=\\pdv{f}{g}\\pdv{g}{h}\\pdv{h}{x}$$",
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"author_name": "TeXit",
"timestamp": "01/26/2023 10:00:29",
"content": "**Duh Hello**",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:01:03",
"content": "hmm",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:02:43",
"content": "basically if i gotta cancel out the g' and h' & check if they have a cosstant multiple bf integrating",
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"author_name": "dldh06",
"timestamp": "01/26/2023 10:03:50",
"content": "Technically you wrote this wrong. It's f'(g(x)) * g'(x). You forgot the derivative of f(x)",
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"timestamp": "01/26/2023 10:04:55",
"content": "yh",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:04:58",
"content": "ofc",
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"id": 1068184885191246000,
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"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:05:22",
"content": "actually cant think of a time where i did an integral where a double chain rule was necessary, tho its just following the u sub rules consistently as many times as necessary",
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"id": 1068185108181426200,
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"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:06:15",
"content": "do you have an example?",
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"id": 1068185621992046600,
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:08:18",
"content": "not rn but (((*x^2+1)^4 )+8 * * 7)",
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"id": 1068185999013855400,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:09:48",
"content": "no creativity rn to think",
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"id": 1068186122603204700,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:10:17",
"content": "cuz i would be thinking of something along the lines of $\\sin(\\cos(x))$ for example",
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"id": 1068186132501766300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/26/2023 10:10:19",
"content": "**Duh Hello**",
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"timestamp": "01/26/2023 10:10:32",
"content": "yh",
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"id": 1068186314157064200,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:11:03",
"content": "but im pretty sure things like that just dont really have an integral",
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"id": 1068186387075051500,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:11:20",
"content": "at least none that can be found with the usual methods",
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"id": 1068186516968452200,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:11:51",
"content": "is it possible to use u sub here the thing in goold",
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"timestamp": "01/26/2023 10:11:54",
"content": "Channel closed",
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] | help-9 | c26648766169450b91eda1f31957ae51 |
201,048 | [
{
"id": 1068186558424961200,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:12:01",
"content": ".reopen",
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"id": 1068186565756588200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 10:12:03",
"content": "✅",
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"id": 1068187412687245300,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:15:25",
"content": "im not really sure about your notation here, you have some example $g(x)$ which in your case you chose $x^2$ correct? would still need to know what $f(x)$ is. not really sure what you mean by getting the thing in gold, like if $f(x)=x$ then you will get what you have in gold",
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"id": 1068187425932857300,
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"author_name": "TeXit",
"timestamp": "01/26/2023 10:15:28",
"content": "**Duh Hello**",
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"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:16:15",
"content": "since if $f(x)=x$ and $g(x)=x^2$ then $f(g(x))=f(x^2)=x^2$",
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"timestamp": "01/26/2023 10:16:17",
"content": "**Duh Hello**",
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"timestamp": "01/26/2023 10:17:21",
"content": "but with a proper example i think i would understand your question better",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:17:45",
"content": "$f'(g(x))*g'(x)$",
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"id": 1068188011671601200,
"author_id": 510789298321096700,
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"timestamp": "01/26/2023 10:17:47",
"content": "**'🌌**",
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"timestamp": "01/26/2023 10:18:09",
"content": "it's like the usual u substitution easy example above",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:18:41",
"content": "i'm saying instead of having it multiplied by g' it's multiplied by 1/g'",
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"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:18:50",
"content": "$f'(g(x))*1/g'(x)$",
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"author_id": 510789298321096700,
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"timestamp": "01/26/2023 10:18:53",
"content": "**'🌌**",
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"author_name": "DerpZ",
"timestamp": "01/26/2023 10:19:40",
"content": "err this is not the chain rule",
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"id": 1068188563012862100,
"author_id": 196556976866459650,
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"timestamp": "01/26/2023 10:19:59",
"content": "this is",
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"timestamp": "01/26/2023 10:20:29",
"content": "iyh u sub not gonna work here i see",
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"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/26/2023 10:21:24",
"content": "the point of a u sub is to get it on the form of the chain rule",
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"id": 1068189225566077000,
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"timestamp": "01/26/2023 10:22:37",
"content": "tto do u sub you pick some part of the expression you think is gonna act like g'(x) and cancel out g'",
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"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:23:14",
"content": "and take the constant out before integrating with respect to g(x)",
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"id": 1068189449147650200,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:23:30",
"content": "am i right ?",
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"id": 1068189647395639300,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:24:17",
"content": "bcs i've seen more difficult u substitutions where picking a g(x) and dividing by g' doesn't cancel anything",
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"id": 1068189704383631500,
"author_id": 927170565125599200,
"author_name": "🌌🌒",
"timestamp": "01/26/2023 10:24:31",
"content": "again i don't know completely etc..",
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"timestamp": "01/26/2023 10:27:04",
"content": "like simple stuff like this it makes sense visualizing the reversse chain rule",
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"timestamp": "01/26/2023 10:27:16",
"content": "but bprp's u subs confuse me",
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"content": "not gonna act like g'(x) but g(x), so easy example $f(g(x))=\\sin(2x)$ we have the integral $$\\int \\sin(2x)dx$$using $u=2x$ we have $du=2 dx\\implies dx=\\frac{1}{2}du$ then we have $$\\frac{1}{2}\\int\\sin(u)du=-\\frac{1}{2}cos(u)+C=-\\frac{1}{2}cos(2x)+C$$so we replace the $u=g(x)$. if we instead had for example $x\\sin(x^2)$ then now its not really in the form $f(g(x))$ but we are still using a u sub to do something very similar to get it in the form of a u sub",
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"timestamp": "01/26/2023 10:30:30",
"content": "**Duh Hello**",
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"content": "so they way you are thinking where you cancel something out is more like $$\\int x\\sin(x^2)dx$$ but like i mentioned its not in the form $f(g(x))$, again ill just do the integral to show how i personally about doing them: $u=x^2\\implies du=2x dx \\implies dx=\\frac{1}{2x}du$ $$\\int x\\sin(u)\\frac{1}{2x}du=\\frac{1}{2}\\int \\sin(u)du=-\\frac{1}{2}\\cos(u)+C=-\\frac{1}{2}\\cos(x^2)+C$$",
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"content": "**Duh Hello**",
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"timestamp": "01/26/2023 10:42:00",
"content": "ig but what i mean is that it's a constant , it comes out nicely and you can pull it out of the integral and easily get the answer",
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"timestamp": "01/26/2023 10:43:31",
"content": "i was looking for advice tho for u sub because it's my not my favorite integration method",
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"content": "alr but",
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"content": "what if you had $$\\int \\sin(x^2)dx$$",
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"timestamp": "01/26/2023 10:46:16",
"content": "**'🌌**",
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"content": "if i say u= x^2 then $$\\int \\sin(u)du/2x$$",
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"timestamp": "01/26/2023 10:50:06",
"content": "**🌌🌒**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"content": "this example , yk it's like the derivative was 1 and i was dividing 1 by 2 ; 1/2 ,as in it's a easy examplle where its just a constant",
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"timestamp": "01/26/2023 10:57:53",
"content": "$$\\int \\sqrt[3]{5+\\sqrt{x}}$$",
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"timestamp": "01/26/2023 10:57:56",
"content": "**🌌🌒**",
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"content": "when i look at this example it isn't obvious to me & i'm confused",
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"timestamp": "01/26/2023 10:59:43",
"content": "compared to $$\\int \\:x^22x\\:\\:as\\:in\\:\\:\\:\\int \\:f'\\left(g\\left(x\\right)\\right)\\cdot g'\\left(x\\right)$$",
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"timestamp": "01/26/2023 10:59:46",
"content": "**🌌🌒**",
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"timestamp": "01/26/2023 11:00:53",
"content": "yk what i mean ?",
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"content": "like if you take theses examples and take u,g(x) and divide the expression by g' or *(du/g') it conviniently gives a constant out , and easily integrate after whitout worryin about the inside",
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"timestamp": "01/26/2023 11:06:25",
"content": "but this one doesn't give a constant , again i'm not so well learned in u sub",
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"timestamp": "01/26/2023 11:21:26",
"content": "@🌌🌒 Has your question been resolved?",
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] | help-9 | 560277a516da49c99496034168036e0d |
201,049 | [
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"timestamp": "01/26/2023 11:38:55",
"content": ">basically my question is about how to do u substitution , , and talk to me about how it's different from *relply.",
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"content": "$$\\int :x^22x :\\int f'\\left(g\\left(x\\right)\\right)\\cdot g'\\left(x\\right)$$",
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"content": "and this one $$\\int \\sqrt[3]{5+\\sqrt{x}}$$",
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"content": "**🌌🌒**",
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"content": "**🌌🌒**",
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"content": "Is this the ques ?",
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"content": "what does the colon mean",
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"content": "@🌌🌒 Has your question been resolved?",
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"content": "the colooon means nothing, just means nothing",
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"content": "yea so basically just integrating theses 2 with u-sub and seeing how they differ",
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201,050 | [
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"content": "How would i find the 2 equations",
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"content": "@0tterp0ps Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "jay.",
"timestamp": "01/26/2023 13:03:31",
"content": "clarify \"as in example7\"",
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"content": "also this honestly looks like a physics question to me",
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"content": "Yeah it looks like physics but im taking calc",
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"content": "We're learning antiderivatives so this may be related?",
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"content": "Oh i havent looked at example 7 wait",
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"timestamp": "01/26/2023 13:07:38",
"content": "ohh that makes sense",
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"content": "I can't read that lmao",
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"content": "My bad hold on",
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"content": "yes, thank you",
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"timestamp": "01/26/2023 13:10:55",
"content": "alr so I'll so take the same steps as this",
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"content": "Yes i will follow this",
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"timestamp": "01/26/2023 13:11:21",
"content": "first, let s(t) be the distnace above ground at t secs",
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"timestamp": "01/26/2023 13:12:42",
"content": "Qnd then i repeat the steps twice for each ball right",
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"timestamp": "01/26/2023 13:13:14",
"content": "question 77, as the same as example 7, only has the force of gravity pulling it down so a(t)=-32",
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"content": "V(t) =-32t+c",
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"timestamp": "01/26/2023 13:13:45",
"content": "you need to be careful for the second one because the time would be t-1",
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"content": "good",
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"content": "Oooh",
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"content": "Ok for the second ball then i would solve for v(1) instead of v(0)",
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"content": "?",
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"content": "Hmm I think it would be safer to find s2(t) seperately then subb in t=t-1",
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"timestamp": "01/26/2023 13:15:45",
"content": "anyways, back to the first ball",
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"timestamp": "01/26/2023 13:15:52",
"content": "Ok yes first ball",
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"content": "It is also 48 ft/s so it follows most of the same steps",
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"timestamp": "01/26/2023 13:16:41",
"content": "yes",
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"timestamp": "01/26/2023 13:16:47",
"content": "so v(0)=48",
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"timestamp": "01/26/2023 13:18:24",
"content": "And then the antiderivative would be s(t)",
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"content": "yes",
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"content": "or first v(t)=-32t+48",
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"content": "the first ball is exactly the same as example 7",
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"content": "yes",
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"content": "Am i setting the s equations equal to eachother",
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"timestamp": "01/26/2023 13:19:14",
"content": "After i find the 2nd ball",
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"timestamp": "01/26/2023 13:20:58",
"content": "let's say the distance of the 1st ball s1(t1) and the distance of the 2nd ball s2(t2) (here, t1 is the time after you threw the 1st ball, and t2 is the time past after you threw the 2nd ball)",
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"content": "you threw the 2nd ball 1 sec after the 1st ball, so t2=t1+1",
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"timestamp": "01/26/2023 13:21:48",
"content": "then you can set the equation s1(t1)=s2(t1+1)",
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"timestamp": "01/26/2023 13:22:04",
"content": "which would be the same as solving s1(t)=s2(t+1)",
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"timestamp": "01/26/2023 13:22:09",
"content": "Oooooooh",
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"timestamp": "01/26/2023 13:22:13",
"content": "That makes sense",
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"timestamp": "01/26/2023 13:22:40",
"content": "Is t the time that i solved for",
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"timestamp": "01/26/2023 13:22:51",
"content": "When v(t) = zero",
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"content": "when v(t)=0, it means the velocity of the ball is 0 meaning it's at its maximum height",
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"content": "but you don't need the max height for question 77",
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"timestamp": "01/26/2023 13:25:45",
"content": "Oh yeah",
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"content": "you just need to check if s1(t)=s2(t+1) has solutions that is t>0 and s1(t)>0 and s2(t)>0",
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"timestamp": "01/26/2023 13:25:51",
"content": "Just when they are the same",
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"timestamp": "01/26/2023 13:25:56",
"content": "Wait im just solving for t",
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"timestamp": "01/26/2023 13:26:01",
"content": "yeah",
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"timestamp": "01/26/2023 13:26:07",
"content": "Yes ok thank you so much",
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"timestamp": "01/26/2023 13:26:11",
"content": "but you need to check if the time and height are positive numbers",
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"timestamp": "01/26/2023 13:26:28",
"content": "How would i do that",
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"timestamp": "01/26/2023 13:26:57",
"content": "you find the solution for s1(t)=s2(t+1)",
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"timestamp": "01/26/2023 13:27:18",
"content": "then check is there is a positive solution",
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"timestamp": "01/26/2023 13:28:02",
"content": "Also when im solving the equations how do I deal with the constant?",
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"content": "when double check whether the distance from the ground is a positive by subbing in the value of t into s1(t) and s2(t+1)",
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"timestamp": "01/26/2023 13:28:12",
"content": "wdym?",
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"timestamp": "01/26/2023 13:28:31",
"content": "Like do i just add it together at the end when solving for t",
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"timestamp": "01/26/2023 13:28:41",
"content": "As its just a number",
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"timestamp": "01/26/2023 13:28:45",
"content": "what?",
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"timestamp": "01/26/2023 13:28:54",
"content": "send a picture of your work",
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"content": "you can determine D by s(0)=432, since the cliff is the same one as example 7",
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"timestamp": "01/26/2023 13:32:14",
"content": "Ah okay",
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"timestamp": "01/26/2023 13:32:45",
"content": "Doing that rn",
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"timestamp": "01/26/2023 13:32:48",
"content": "also, ur steps are a little messed up- I recommend seperating the equations of the first ball an the second ball",
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"timestamp": "01/26/2023 13:33:33",
"content": "also you should seperate the v and the t and the s by using v1, v2, t1, t2, s1, s2",
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"timestamp": "01/26/2023 13:33:45",
"content": "Ok yeah ill organize",
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"timestamp": "01/26/2023 13:39:02",
"content": "Ok i rewrote it neatly",
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"timestamp": "01/26/2023 13:39:36",
"content": "What value would i sub in?",
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"timestamp": "01/26/2023 13:40:31",
"content": "wait",
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"content": "to find c for the 2nd ball you need to subb in t=0",
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"timestamp": "01/26/2023 13:41:02",
"content": "Oh my bad",
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"timestamp": "01/26/2023 13:41:09",
"content": "the t for the first ball and the t for the second ball are two different things",
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"timestamp": "01/26/2023 13:41:26",
"content": "So c=24",
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"timestamp": "01/26/2023 13:41:36",
"content": "you need to ignore t2=t1+1 for now",
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"timestamp": "01/26/2023 13:41:40",
"content": "yes",
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"timestamp": "01/26/2023 13:41:51",
"content": "Ok ok",
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"timestamp": "01/26/2023 13:42:21",
"content": "And then v2(t)=-33t+24",
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"timestamp": "01/26/2023 13:42:28",
"content": "And change the antideriv as well",
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"timestamp": "01/26/2023 13:42:36",
"content": "-32",
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"timestamp": "01/26/2023 13:42:39",
"content": "yes",
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"timestamp": "01/26/2023 13:42:47",
"content": "Typo my bad",
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"timestamp": "01/26/2023 13:43:41",
"content": "",
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"timestamp": "01/26/2023 13:44:09",
"content": "good",
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"id": 1068240026942570600,
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"author_name": "jay.",
"timestamp": "01/26/2023 13:44:29",
"content": "so now you have equations for s1(t1) and s2(t2)",
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"timestamp": "01/26/2023 13:45:44",
"content": "Yes",
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"timestamp": "01/26/2023 13:45:44",
"content": "now you want to unify the variables of the domains, so now you use t2=t1+1",
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"timestamp": "01/26/2023 13:47:18",
"content": "so you have s1(t1)=-16t^2+48t+342 and s2(t1+1)=-16(t+1)^2+24(t+1)+432",
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"timestamp": "01/26/2023 13:47:57",
"content": "the time the ball passes is the time s1(t)=s2(t+1)",
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"timestamp": "01/26/2023 13:48:13",
"content": "so now you check if a solution that's t>0 exists",
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"timestamp": "01/26/2023 13:49:18",
"content": "So just any number greater than 0?",
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"timestamp": "01/26/2023 13:49:37",
"content": "yes",
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"author_name": "jay.",
"timestamp": "01/26/2023 13:50:00",
"content": "also, double check if s1(t) is positive, just to be safe",
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:50:17",
"content": "Using the same number?",
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"id": 1068241530390855800,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:50:27",
"content": "yep",
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"id": 1068241546090119300,
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:50:31",
"content": "Ok ok",
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"id": 1068241577597747300,
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"author_name": "jay.",
"timestamp": "01/26/2023 13:50:39",
"content": "subb in t=whatever positive solution you get",
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:51:20",
"content": "Oh from s1(t)=s2(t+1)",
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"timestamp": "01/26/2023 13:51:42",
"content": "yep",
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},
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"id": 1068242095585902600,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:52:42",
"content": "Wait im not sure if im doing this right",
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"id": 1068242125076054000,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:52:49",
"content": "Am i trying to solve for t",
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"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:52:59",
"content": "Or do i put a number in for t",
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"id": 1068242202045730800,
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"timestamp": "01/26/2023 13:53:07",
"content": "ur solving for t",
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"timestamp": "01/26/2023 13:53:16",
"content": "Ok ok",
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"timestamp": "01/26/2023 13:53:22",
"content": "That makes sense hold on",
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"id": 1068242380832133100,
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"author_name": "jay.",
"timestamp": "01/26/2023 13:53:50",
"content": "it's 4am here and i'm so tired now so i might not be much help from now on lol",
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:56:03",
"content": "Oh yeah feel free to sleep you aren't obligated to help me",
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:56:10",
"content": "You already helped me so much",
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"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:56:11",
"content": "Thank you",
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"id": 1068243020505428000,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:56:23",
"content": "should i spoil the answer for you hah",
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"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:57:43",
"content": "If you want so i can check my answer lol",
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"timestamp": "01/26/2023 13:57:51",
"content": "Also i got t=1",
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"id": 1068243460542451800,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:58:07",
"content": "For s1(t)=s2(t+1)",
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"id": 1068243487096582300,
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"timestamp": "01/26/2023 13:58:14",
"content": "huh",
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"id": 1068243514426671200,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:58:20",
"content": "😃",
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{
"id": 1068243603119407100,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:58:41",
"content": "-16t^2+48t+432=-16(t+1)^2+24(t+1)+432",
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"timestamp": "01/26/2023 13:58:51",
"content": "I mightve just made a mistake in my arithmetic",
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"id": 1068243651270033500,
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"author_name": "jay.",
"timestamp": "01/26/2023 13:58:53",
"content": "oh nvm ur right",
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"id": 1068243703195512800,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:59:05",
"content": "Oh wait so its positive",
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"id": 1068243722682245100,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:59:10",
"content": "yep",
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{
"id": 1068243820677967900,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:59:33",
"content": "so the ans would be yes, the balls pass eachother 1 sec after the first ball was thrown",
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"id": 1068243840886112300,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:59:38",
"content": "can i go sleep now?",
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"id": 1068243866936938600,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:59:44",
"content": "Yes lmao",
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"id": 1068243882929832100,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:59:48",
"content": "okey byee",
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"id": 1068243889909157900,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:59:50",
"content": "Thank you so so much",
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},
{
"id": 1068243896942997600,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:59:52",
"content": "Byee",
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"id": 1068243901166661600,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/26/2023 13:59:53",
"content": "np",
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"id": 1068243928140218500,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 13:59:59",
"content": "🦆",
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"id": 1068243941029326800,
"author_id": 351451363970121700,
"author_name": "0tterp0ps",
"timestamp": "01/26/2023 14:00:02",
"content": "Goodnight",
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"id": 1068243951699640300,
"author_id": 351451363970121700,
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"timestamp": "01/26/2023 14:00:05",
"content": ". Close",
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"id": 1068243961354920000,
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"timestamp": "01/26/2023 14:00:07",
"content": ".close",
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"id": 1068243964152520800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 14:00:08",
"content": "Channel closed",
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] | help-9 | 9254d38addba4676ba52cf94fe59de12 |
201,051 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 14:08:04",
"content": "Available help channel!",
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"id": 1068246480034468000,
"author_id": 259373704658550800,
"author_name": "Down",
"timestamp": "01/26/2023 14:10:07",
"content": "How would I go about solving this? Square root of a complex number or something?",
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"timestamp": "01/26/2023 14:10:53",
"content": "hold",
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},
{
"id": 1068246689216999400,
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"timestamp": "01/26/2023 14:10:57",
"content": "let me write it",
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},
{
"id": 1068247111159775200,
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"author_name": "TeXit",
"timestamp": "01/26/2023 14:12:38",
"content": "**lula**",
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"id": 1068247223479042200,
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"timestamp": "01/26/2023 14:13:05",
"content": "the only imaginary number here is 2iqp which is 12i",
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"id": 1068247283080110100,
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"timestamp": "01/26/2023 14:13:19",
"content": "so 2qp equals 12",
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"id": 1068247303112106000,
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"timestamp": "01/26/2023 14:13:24",
"content": "qp equals 6",
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"id": 1068247332828741800,
"author_id": 939834867988979700,
"author_name": "lula",
"timestamp": "01/26/2023 14:13:31",
"content": "also we have real part",
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"id": 1068247417033609300,
"author_id": 939834867988979700,
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"timestamp": "01/26/2023 14:13:51",
"content": "$p^2 + q^2 = 5$",
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"content": "**lula**",
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"timestamp": "01/26/2023 14:14:12",
"content": "Ooh I see, thank you so much 😄",
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"timestamp": "01/26/2023 14:14:19",
"content": "Really appreciate it",
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"id": 1068247536688693200,
"author_id": 939834867988979700,
"author_name": "lula",
"timestamp": "01/26/2023 14:14:19",
"content": "i think you can do the rest",
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"id": 1068247545484169300,
"author_id": 403675989210824700,
"author_name": "SamuDoki",
"timestamp": "01/26/2023 14:14:21",
"content": "Its p²-q²",
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"id": 1068247573212696700,
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"timestamp": "01/26/2023 14:14:28",
"content": "oh",
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"id": 1068247576622670000,
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"timestamp": "01/26/2023 14:14:29",
"content": "my bad",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/26/2023 14:14:56",
"content": "p²-q²=5 and pq=6",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/26/2023 14:14:59",
"content": "Ummm",
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"author_name": "Down",
"timestamp": "01/26/2023 14:19:36",
"content": "thanks :D",
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] | help-9 | 99612860e4c54a4abf58e024d8867cb9 |
201,052 | [
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"content": "Available help channel!",
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"id": 1068249744507420700,
"author_id": 264193309721755650,
"author_name": "zockoL",
"timestamp": "01/26/2023 14:23:06",
"content": "Hey, i have a little problem with Equivalent Relations\n\nwhy does this have no reflexivity but symmetry?",
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"content": "Pinned a message.",
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"author_name": "zockoL",
"timestamp": "01/26/2023 14:25:06",
"content": "i had a little help that i need to show that for all x of |R : xRx\nand i can show then that if i put x=(2,3)\ni can do x+x = 4,6 and 4,6 is not in /Z\n\nbut when doing the exact same with symmetry, i would say it does not have symmetry because\n2,3 + 2,4 = 2,7 and 2,4 + 2,3 = 2,7 but 2,7 is not in /Z",
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"content": "@zockoL Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | aa3d30e6516c4cc5b23a7c18105dc026 |
201,053 | [
{
"id": 1036585058162716700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 06:18:56",
"content": "Available help channel!",
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"id": 1036587291025625100,
"author_id": 999344527389237200,
"author_name": "Magdalen",
"timestamp": "10/31/2022 06:27:49",
"content": "Hello. We just started the topic of function compositions and the first exercise already asks for proofs. \nProve : Let f, g, h be functions. Then h ◦ (f + g) = (h ◦ f) + (h ◦ g).",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:28:59",
"content": "can i make substitutions here?",
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"id": 1036587615199174800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:29:06",
"content": "what do you mean by \"substitutions\"?",
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"id": 1036587667007221800,
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:29:18",
"content": "say assign these fuctions",
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"id": 1036587747508486100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:29:37",
"content": "you want to instantiate f, g and h with some particular functions of your choosing?",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:29:46",
"content": "im thinking about it",
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"id": 1036587818241245300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:29:54",
"content": "yes or no",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:30:14",
"content": "well say f is x+1",
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"id": 1036587923572801700,
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:30:19",
"content": "g x +2",
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"id": 1036587930178822300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:30:21",
"content": "you _can_ do that, but it'll be completely irrelevant to what you're asked for.",
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"id": 1036587937044910200,
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:30:23",
"content": "h x+3",
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"id": 1036587957139816400,
"author_id": 999344527389237200,
"author_name": "Magdalen",
"timestamp": "10/31/2022 06:30:27",
"content": "why?",
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"id": 1036588007639228400,
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"author_name": "Ann",
"timestamp": "10/31/2022 06:30:39",
"content": "because you will only have shown the identity for THOSE functions",
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"author_name": "Ann",
"timestamp": "10/31/2022 06:30:44",
"content": "and not for arbitrary functions",
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"id": 1036588111104327700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:31:04",
"content": "it is like trying to drain an entire lake by drinking one droplet from it",
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"author_name": "Ann",
"timestamp": "10/31/2022 06:31:22",
"content": "also maybe they should have told you something like f, g: A -> B and h : B -> **R** or something\nthat way it is clearer that these things can be composed in the required way",
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"id": 1036588286120034300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "10/31/2022 06:31:46",
"content": "you need to recall the definitions of addition and composition of functions and write out the value of each side at x",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:32:34",
"content": "well in the previous we have said that f + g = f(x) + g(x).",
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"author_name": "Ann",
"timestamp": "10/31/2022 06:32:48",
"content": "(f+g)(x) = f(x) + g(x) is the definition of addition of functions.",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:43:52",
"content": "well this didnt make anything more clear, but thanks",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 06:50:03",
"content": "If I was to disprove it. How can I write it down if I substitute f with x+1, g with x+2, h with x+3? the left part.",
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"id": 1036595593214181400,
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"author_name": "Ann",
"timestamp": "10/31/2022 07:00:48",
"content": "well what's (f+g)(x)?",
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"author_name": "Magdalen",
"timestamp": "10/31/2022 07:02:15",
"content": "f(x)+g(x)",
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"id": 1036596793263280100,
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"author_name": "Magdalen",
"timestamp": "10/31/2022 07:05:34",
"content": "ok. So in this case if I substitute them. I will get h o (2x+3 ), which is 2x+6",
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"id": 1036596965145845800,
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"author_name": "Magdalen",
"timestamp": "10/31/2022 07:06:15",
"content": "well this actually disproves it, since I would have 2x+6 = 2x+7",
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"timestamp": "10/31/2022 07:21:15",
"content": "@Magdalen Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 07:25:22",
"content": "Channel closed",
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}
] | help-9 | eee8031646af41e8b9e9ce309ae3ec3f |
201,054 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 15:05:41",
"content": "Available help channel!",
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"id": 1068260908985491500,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:07:28",
"content": "Can anyone help me with this L'Hopitals rule question, I'm a bit stuck",
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"content": "Pinned a message.",
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"author_name": "Fakesies",
"timestamp": "01/26/2023 15:07:44",
"content": "by my thinking, I'd pull out the 5 from the second f'",
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"id": 1068261114338611200,
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"author_name": "Fakesies",
"timestamp": "01/26/2023 15:08:16",
"content": "but then afterwards, if i differentiate (2+x) i get 1 inside both of those f'",
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"timestamp": "01/26/2023 15:08:35",
"content": "we werent given a value for f'(1)",
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"timestamp": "01/26/2023 15:08:39",
"content": "so it cant be correct",
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"author_name": "Fakesies",
"timestamp": "01/26/2023 15:09:49",
"content": "or do i just pull out the 5, differentiate the bottom x', and then slap in 0 for the other remaining x values?",
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"timestamp": "01/26/2023 15:10:07",
"content": "which would give me f'(2) -5f'(2)",
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"timestamp": "01/26/2023 15:10:44",
"content": "= 3 - 5(3)\n= -12",
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"author_name": "themateo713",
"timestamp": "01/26/2023 15:13:58",
"content": "Yes because you're differentiating -f(2+5x)",
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"id": 1068262722220863500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/26/2023 15:14:40",
"content": "\"pull put the 5\" is bad wording, you're using the chain rule here",
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"id": 1068265181416788100,
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"timestamp": "01/26/2023 15:24:26",
"content": "how is it chain rule?",
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"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:24:33",
"content": "sorry, im just learning L'hopitals",
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"id": 1068265398081945600,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:25:18",
"content": "oh",
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"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:25:47",
"content": "cuz we consider the inside stuff to be g(x)",
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"id": 1068265729134170200,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:26:37",
"content": "f(g(x)) dx = f'(g(x)) * g'(x)",
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"id": 1068265771865747500,
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"timestamp": "01/26/2023 15:26:47",
"content": "cool beans",
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"id": 1068265779134476300,
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"author_name": "Fakesies",
"timestamp": "01/26/2023 15:26:49",
"content": "thank y'all",
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"id": 1068267983937487000,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 15:35:34",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 15:35:35",
"content": "Channel closed",
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] | help-9 | afdb1b7a06f14309b7488612f537638a |
201,055 | [
{
"id": 1068268240247210000,
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"content": "Available help channel!",
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"id": 1068269060674043900,
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"author_name": "Sonounnegro.ebbasta",
"timestamp": "01/26/2023 15:39:51",
"content": "guys i have a problem with this limit i'm stucked on the resolution without l'hopital, i want to resolve it by reconducting it to important limit semplification",
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"content": "Pinned a message.",
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"author_name": "Sonounnegro.ebbasta",
"timestamp": "01/26/2023 15:41:12",
"content": "the limit approaches to +infinity",
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"id": 1068270954813341700,
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/26/2023 15:47:47",
"content": "for positive x",
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"id": 1068271689781231700,
"author_id": 485192238142455800,
"author_name": "Sonounnegro.ebbasta",
"timestamp": "01/26/2023 15:50:18",
"content": "thanks snow, but how does it become 2arctan(1/x)",
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"timestamp": "01/26/2023 15:50:20",
"content": "?",
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"author_name": "夢雪",
"timestamp": "01/26/2023 15:51:05",
"content": "the two angles in a right trangle",
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"content": "add up to 90",
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"author_name": "Sonounnegro.ebbasta",
"timestamp": "01/26/2023 15:52:25",
"content": "ohh okok,thanks",
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"author_name": "ramonov",
"timestamp": "01/26/2023 15:55:30",
"content": "ugh...pi/2, not pi",
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"timestamp": "01/26/2023 15:58:55",
"content": "i reconducted the numerator to 1 with the important limit ln(1+(1/x))/(1/x)",
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"content": "@Helpers",
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"content": "@Sonounnegro.ebbasta Has your question been resolved?",
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201,056 | [
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201,057 | [
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"content": "Points where the graph above is increasing correspond to being above the x axis, decreasing corresponds to being below the x axis",
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"content": "think of how the slope of the function would like at each interval",
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"content": "when the function decreases, its a negative derivative value",
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"content": "I know that, but is it not just a bit too inaccurate?",
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"id": 1068325811519766700,
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"author_name": "Adhi",
"timestamp": "01/26/2023 19:25:22",
"content": "and when the function is neither decreasing nor increasing, ie vertex, it has a derivative of 0",
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"timestamp": "01/26/2023 19:25:55",
"content": "Depends on how accurate they want it, e.g. if it’s a “sketch” problem or something",
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"timestamp": "01/26/2023 19:26:09",
"content": "well, yes, it would be impossible to know the ctual values that the function crosses and stuff, but the graph of the derivative would give u a general idea of the function's behavior, maxima and minima, and concavity",
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"content": "what about using linear interpolation",
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"content": "do u really want the curve to be so precise or just need a general idea of what it would look like?",
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201,058 | [
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"content": "Can someone help me figure this out",
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"content": "or tell me where im going wrong",
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"content": "OH",
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"content": "hold up i forgot to square the second x-35",
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"timestamp": "01/26/2023 20:02:42",
"content": "bro i did so much wrong there",
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"timestamp": "01/26/2023 20:02:45",
"content": "holy eff",
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"timestamp": "01/26/2023 20:02:49",
"content": "now that i post it and look at it",
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"content": "i need a break from math LOL",
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"timestamp": "01/26/2023 20:03:23",
"content": "im gonna revise my solution and come back",
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"timestamp": "01/26/2023 20:03:35",
"content": "i didnt multiply the negatives properly, carry the square, nothing.",
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"timestamp": "01/26/2023 20:06:43",
"content": "ok how does that look",
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"timestamp": "01/26/2023 20:10:59",
"content": "nvm its wrong",
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"timestamp": "01/26/2023 20:11:04",
"content": "idfk anymore",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/26/2023 20:11:43",
"content": "this is true but\nlast two rows are wrong",
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"timestamp": "01/26/2023 20:12:01",
"content": "whatd i do wrong in the last 2?",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/26/2023 20:12:07",
"content": "(x - 35)² is not equal to x² -35²",
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"id": 1068337615029403800,
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"timestamp": "01/26/2023 20:12:16",
"content": "oh",
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"id": 1068337617206268000,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 20:12:16",
"content": "my",
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{
"id": 1068337621333459000,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 20:12:17",
"content": "god",
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"id": 1068337653105303600,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 20:12:25",
"content": "(x-35) * (x-35)",
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"id": 1068337676840866000,
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"author_name": "Fakesies",
"timestamp": "01/26/2023 20:12:30",
"content": "hahahahahaha",
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"id": 1068337700534497400,
"author_id": 425762395445526500,
"author_name": "Fakesies",
"timestamp": "01/26/2023 20:12:36",
"content": "i forgot how to do basic mathematics",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/26/2023 20:12:39",
"content": "leave it as it is bro",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/26/2023 20:12:51",
"content": "is better",
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"timestamp": "01/26/2023 20:13:22",
"content": "i think i have to simplify it",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/26/2023 20:13:27",
"content": "**Mehdi\\_Moulati**",
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"timestamp": "01/26/2023 20:14:23",
"content": "doesnt the -(1/2) multiply to both of the x and the -35 in (x-35)",
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"timestamp": "01/26/2023 20:14:54",
"content": "yes",
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"timestamp": "01/26/2023 20:15:06",
"content": "oh i get it",
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"timestamp": "01/26/2023 20:15:11",
"content": "nvm",
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"timestamp": "01/26/2023 20:15:27",
"content": "(x - 35)² = x² - 70x + 35²",
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"timestamp": "01/26/2023 20:15:43",
"content": "yeah, better as (x-35)^2",
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"content": "ok, tyvm",
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"content": "i think i should stop looking at math now for a bit",
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] | help-9 | 987384581bf34da3a800dc1e206e9e2c |
201,059 | [
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"content": "Heres what i know about them, if $\\lfloor x\\rfloor=n$ then $x\\lfloor x\\rfloor=nx$ and we have the inequality $n^2 \\le nx < n^2+n.$ So, for $f(x)=1,$ we know that $nx=1$ so we have $n^2 \\le 1 <n^2+n$ then we check for different values of $n, n=0,1,2,3...$ and we find that $1\\le n < 2$ are the values for $n$ here, but how do i make it so this inequality shows the range of $x?$",
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] | help-9 | 585240ed75fd4fceaa454614baef92c2 |
201,060 | [
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"content": "this means that right?",
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"content": "after i find m i need to find Mx and My",
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"content": "t",
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"content": "from those integrals it means M = 54, Mx = 1053/2, My=-27",
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"content": "thus coordinates are (1/2, 39/4)",
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"content": "that's what i did but the answer is wrong, can someone explain why?",
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"content": "@_Blue 4 Has your question been resolved?",
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] | help-9 | 90e9bd9f6e7c4c238e71d90a0ec7eb17 |
201,061 | [
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] | help-9 | bff6187059a4402fbb7a06b4381b18d2 |
201,062 | [
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"timestamp": "01/26/2023 23:05:03",
"content": "I have the answers for a and b, but for c im not sure exactly what to do. My guess is to set S(x) = D(x)",
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"id": 1068381113095028900,
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"content": "And then do I solve for x?",
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"id": 1068381363436269600,
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"content": "This is what I have so far",
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"id": 1068381492415320000,
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"author_name": "has",
"timestamp": "01/26/2023 23:06:37",
"content": "Should I set the left side to ln ((x+2)/(x+1))",
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"id": 1068381516738068500,
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"timestamp": "01/26/2023 23:06:43",
"content": "When I do that, I just get lost",
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"id": 1068381557099860100,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "01/26/2023 23:06:52",
"content": "So not sure if its right",
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},
{
"id": 1068381586384498700,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/26/2023 23:06:59",
"content": "$\\ln a + \\ln b = \\ln ab$",
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"timestamp": "01/26/2023 23:07:01",
"content": "**NEONPerseus**",
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"timestamp": "01/26/2023 23:07:31",
"content": "OHHH okay I shouldnt have skipped the steps",
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"timestamp": "01/26/2023 23:07:38",
"content": "Ok thank you im going to try it again",
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"timestamp": "01/26/2023 23:09:40",
"content": "So, now I have ln(x^2 + 3x + 2) = 10",
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"id": 1068382299676233700,
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"timestamp": "01/26/2023 23:09:49",
"content": "What can I do from here?",
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"timestamp": "01/26/2023 23:10:13",
"content": "Remove the log",
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"id": 1068382434602778800,
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"author_name": "has",
"timestamp": "01/26/2023 23:10:21",
"content": "Oh right by doing e^10",
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"id": 1068382446426521600,
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"timestamp": "01/26/2023 23:10:24",
"content": "Yup",
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},
{
"id": 1068382467440005100,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "01/26/2023 23:10:29",
"content": "Ok thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1068384834558382200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "01/26/2023 23:19:54",
"content": "I solved it, thanks for your help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1068388610790924300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 23:34:54",
"content": "@has Has your question been resolved?",
"attachments": [],
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{
"id": 1068389571345264600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 23:38:43",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | b60138ec8f8d4dd8a7ece70df45bd880 |
201,063 | [
{
"id": 1068389823062220900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 23:39:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1068392439108337700,
"author_id": 719563892975599900,
"author_name": "ribky",
"timestamp": "01/26/2023 23:50:07",
"content": "I need help with math I’m not sure if I’m the right channel I’m in high school algebra",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1068392441301966800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/26/2023 23:50:07",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1068392439108337700,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 1068392692708540500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/26/2023 23:51:07",
"content": "yup! we usually answer to specific questions you need help with",
"attachments": [],
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},
{
"id": 1068392790658126000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/26/2023 23:51:31",
"content": "if not, check out the preuniversity channel #prealg-and-algebra",
"attachments": [],
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},
{
"id": 1068392830181048300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/26/2023 23:51:40",
"content": "for discussion",
"attachments": [],
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"reference": null
},
{
"id": 1068396214992781300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/27/2023 00:05:07",
"content": "@ribky Has your question been resolved?",
"attachments": [],
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"timestamp": "01/27/2023 00:20:07",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 04e09d231d3a42d399a629cd3c84d341 |
201,064 | [
{
"id": 1032809748703223900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 20:17:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032810272215289900,
"author_id": 782320581914918900,
"author_name": "Slicer",
"timestamp": "10/20/2022 20:19:17",
"content": "when data values are repeated do mode and median change?",
"attachments": [],
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"reference": null
},
{
"id": 1032810274031407200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 20:19:18",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1032810272215289900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1032810694162251900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/20/2022 20:20:58",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 1032814047764172900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 20:34:17",
"content": "@Slicer Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 782320581914918900,
"name": "Slicer",
"discriminator": "3640",
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{
"id": 1032814443635163300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 20:35:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 4e4f3ff40f60407f9522531de0d61894 |
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