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196,765 |
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{
"id": 989115582232281100,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:32:11",
"content": "bearing is angle from the north",
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"name": ".,..",
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{
"id": 989115703003082800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:32:40",
"content": "so angle from parallels of positive y axis and yeah",
"attachments": [],
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},
{
"id": 989115730245079000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:32:46",
"content": "it’s always trig",
"attachments": [],
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"reference": null
},
{
"id": 989115797316174000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:33:02",
"content": "and it’s always to do with tan",
"attachments": [],
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"reference": null
},
{
"id": 989116049406451700,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "06/22/2022 06:34:03",
"content": "Not always",
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{
"id": 989116166528192500,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:34:30",
"content": "Yes, it is. When they don’t mention any references, it’s north by default",
"attachments": [],
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},
{
"id": 989116474461405200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:35:44",
"content": "Mate, I’ve literally had bearings as a part of my maths test back in hs, you still wanna do this ?",
"attachments": [],
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"reference": null
},
{
"id": 989116551548510200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:02",
"content": "It’s north unless they give an alternative reference",
"attachments": [],
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"reference": null
},
{
"id": 989116576227790800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:08",
"content": "just trust me on that",
"attachments": [],
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"reference": null
},
{
"id": 989116606510673900,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:15",
"content": "and it’s always three digits,",
"attachments": [],
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"reference": null
},
{
"id": 989116658390016100,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:28",
"content": "even if you have 1 dw green",
"attachments": [],
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"reference": null
},
{
"id": 989116670222147600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:31",
"content": "* degree",
"attachments": [],
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"reference": null
},
{
"id": 989116693013991600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:36",
"content": "you have to write 001",
"attachments": [],
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"reference": null
},
{
"id": 989116781589319700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "06/22/2022 06:36:57",
"content": "and it’s clockwise as well unless specified otherwise,",
"attachments": [],
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"reference": null
},
{
"id": 989117755821264900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 06:40:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989122967898308600,
"author_id": 751070095815475300,
"author_name": "not simp",
"timestamp": "06/22/2022 07:01:32",
"content": "yo what chapter does this question come in ?",
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"id": 989122972226842600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 07:01:33",
"content": "Pinned a message.",
"attachments": [],
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"id": 989122975582281700,
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"timestamp": "06/22/2022 07:01:34",
"content": null,
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"id": 989126743736614900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 07:16:32",
"content": "@not simp Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 07:48:29",
"content": "@not simp Has your question been resolved?",
"attachments": [],
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"id": 989142333058613200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 08:18:29",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5e2ab12a0c5e4ef0a39371ca0cea0635
|
196,766 |
[
{
"id": 989142586621059200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 08:19:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989151833316524200,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 08:56:14",
"content": "Can anyone tell me if I made a mistake while solving this? I can't seem to find an issue, but synolab, mathway and wolfram alpha tell me the answer is 0.",
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"id": 989151835921211400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 08:56:15",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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{
"id": 989154284358729700,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:05:58",
"content": "On your",
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{
"id": 989154301421162600,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:06:03",
"content": "denominator",
"attachments": [],
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"reference": null
},
{
"id": 989154630149742600,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:07:21",
"content": "It seems that you did",
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{
"id": 989154648323657700,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:07:25",
"content": "That a bit wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989154777575354400,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:07:56",
"content": "-x^2-3x-2=>-1(x+1)(x+2)",
"attachments": [],
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"reference": null
},
{
"id": 989154807220686800,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:08:03",
"content": "Is what I got?",
"attachments": [],
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"reference": null
},
{
"id": 989154835393835000,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:08:10",
"content": "OH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989154924921229300,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:08:31",
"content": "Did that help?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989155014461243400,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:08:53",
"content": "Yeah I didnt realise that although I got these roots too",
"attachments": [],
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},
{
"id": 989155025760690200,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:08:55",
"content": "Thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989155212558229500,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:09:40",
"content": "Try using latex if you want you're queries answered quickly, people don't tend to respond if there's a lot of stuff to look at lol",
"attachments": [],
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"reference": null
},
{
"id": 989155247102513200,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:09:48",
"content": "dw about it",
"attachments": [],
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"reference": null
},
{
"id": 989155333043802100,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:10:09",
"content": "Alright. Thank you so much!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989155384310763500,
"author_id": 471340370744049660,
"author_name": "Zoe",
"timestamp": "06/22/2022 09:10:21",
"content": "nw",
"attachments": [],
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"reference": null
},
{
"id": 989155391579508900,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:10:22",
"content": "um",
"attachments": [],
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"reference": null
},
{
"id": 989155401473863700,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:10:25",
"content": "!close",
"attachments": [],
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},
{
"id": 989155462958161900,
"author_id": 285835431889731600,
"author_name": "Milkeles",
"timestamp": "06/22/2022 09:10:39",
"content": ".close",
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},
{
"id": 989155465005006800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 09:10:40",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
acdea56ed88a4453adb300ed1a6f95ee
|
196,767 |
[
{
"id": 989164907352174700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 09:48:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989172134888742900,
"author_id": 720162596484939800,
"author_name": "fuzzy balls",
"timestamp": "06/22/2022 10:16:54",
"content": "the answer is 50pi however i'm not sure how you get to that",
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"id": 989172137732477000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 10:16:55",
"content": "Pinned a message.",
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},
{
"id": 989172411356287000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "06/22/2022 10:18:00",
"content": "First find the surface area of the ring",
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},
{
"id": 989172439047110700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "06/22/2022 10:18:07",
"content": "The top and bottom basically",
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"reference": null
},
{
"id": 989172464288432100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/22/2022 10:18:13",
"content": "first list out what shapes the surface is composed of.",
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},
{
"id": 989172479031390200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "06/22/2022 10:18:16",
"content": "And then compute the exterior and interior walls",
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},
{
"id": 989172502599204900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "06/22/2022 10:18:22",
"content": "Which comprise the surface",
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},
{
"id": 989172703888031700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/22/2022 10:19:10",
"content": "you should get:\n- top and bottom: 2 annuli of inner radius 2cm and outer radius 3cm\n- inner surface: cylindrical surface of radius 2cm and height 4cm\n- outer surface: cylindrical surface of radius 3cm and height 4cm",
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"id": 989172773760925700,
"author_id": 720162596484939800,
"author_name": "fuzzy balls",
"timestamp": "06/22/2022 10:19:27",
"content": "oh i didnt take into account the inner surface",
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},
{
"id": 989172791565766700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/22/2022 10:19:31",
"content": "yeah sounds like it",
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},
{
"id": 989172828970565600,
"author_id": 720162596484939800,
"author_name": "fuzzy balls",
"timestamp": "06/22/2022 10:19:40",
"content": "lemme give it a shot",
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},
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"id": 989173238435287200,
"author_id": 720162596484939800,
"author_name": "fuzzy balls",
"timestamp": "06/22/2022 10:21:17",
"content": "got it now, thank you!",
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},
{
"id": 989173263622103000,
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"author_name": "fuzzy balls",
"timestamp": "06/22/2022 10:21:23",
"content": ".close",
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},
{
"id": 989173265199140900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 10:21:24",
"content": "Channel closed",
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}
] |
help-9
|
8a8c50cfc61143a4be0eead4618be4c1
|
196,768 |
[
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"id": 989185982907711500,
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"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 11:11:56",
"content": "Available help channel!",
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"reference": null
},
{
"id": 989186995655962600,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 11:15:57",
"content": "Hey guys im trying to do this problem but for some reason the book has a different answer than what i am getting. i got 4/35 as the answer but the book has (13sqrt(13)-8)/27 im not sure how to tell if im not doing this right",
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"timestamp": "06/22/2022 11:15:58",
"content": "Pinned a message.",
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"id": 989187323696672800,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 11:17:16",
"content": "This is my work 171)",
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"id": 989188843704025100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/22/2022 11:23:18",
"content": "can you zoom in and/or make a clearer image",
"attachments": [],
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},
{
"id": 989188974071394400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/22/2022 11:23:49",
"content": "it looks like i'm seeing 7s that shouldn't be there",
"attachments": [],
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},
{
"id": 989189832276324400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/22/2022 11:27:14",
"content": "also are you looking at the correct solutions",
"attachments": [],
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},
{
"id": 989190093359182000,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 11:28:16",
"content": "Yes 1 sec",
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},
{
"id": 989191115238424600,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 11:32:20",
"content": "I can’t get closer without cutting some stuff out is this okay?",
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"content": ",rotate",
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"timestamp": "06/22/2022 11:32:51",
"content": "this is the text book solution and im pretty sure its the right one same section and everything",
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"content": "oh...",
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"timestamp": "06/22/2022 11:37:14",
"content": "did you crop stuff out of the question...",
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"content": "what do you mean?",
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"content": "this is what the questions look like in the book",
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"content": "i didnt change anything",
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"timestamp": "06/22/2022 11:38:34",
"content": "was there any stuff above that",
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"timestamp": "06/22/2022 11:39:03",
"content": "yes.. that",
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"timestamp": "06/22/2022 11:39:11",
"content": "that is VERY IMPORTANT information",
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"timestamp": "06/22/2022 11:39:15",
"content": "that you chose to leave out",
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"timestamp": "06/22/2022 11:39:16",
"content": "sorry i didnt even notice that myself",
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"timestamp": "06/22/2022 11:39:29",
"content": "its pretty much the actual question",
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"timestamp": "06/22/2022 11:39:56",
"content": "my bad this is what the page looks like i didnt even notice that",
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"timestamp": "06/22/2022 11:40:58",
"content": "whereas normally you'd simply integrate x^(3/2) from 0 to 1 which would get you 0.4\nhere you'd be applying the formula for arclength",
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"timestamp": "06/22/2022 11:41:34",
"content": "$s = \\int_a^b \\sqrt{1+[f'(x)]^2} \\dd{x}$",
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"timestamp": "06/22/2022 11:41:48",
"content": "**ℝamonov**",
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"timestamp": "06/22/2022 11:42:08",
"content": "hmm",
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"timestamp": "06/22/2022 11:42:42",
"content": "in your work it looked like you did neither",
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"timestamp": "06/22/2022 11:43:19",
"content": "oh man... sorry i havent taken a calc class in over 2 years so im struggling learning this even with turors",
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"content": "tutors",
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"timestamp": "06/22/2022 11:43:34",
"content": "let me try that",
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"timestamp": "06/22/2022 11:44:09",
"content": "it looked like you took the antiderivative of your original function for some reason and then integrated that again over the given bounds",
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"timestamp": "06/22/2022 11:44:44",
"content": "yeah i know i have to take the antiD of it to do something with it",
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"timestamp": "06/22/2022 11:44:47",
"content": "i believe",
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"timestamp": "06/22/2022 11:44:54",
"content": "from what my tutor said",
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"author_name": "ramonov",
"timestamp": "06/22/2022 11:45:09",
"content": "but you don't do it twice/more than needed",
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"timestamp": "06/22/2022 11:45:23",
"content": "yeah.. i think i just dont know what im doing",
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"timestamp": "06/22/2022 11:45:28",
"content": "give me a second to see if i can do it right",
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"timestamp": "06/22/2022 11:50:32",
"content": "do i take the anti derivative or just the derivative of x^3/2",
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"timestamp": "06/22/2022 11:50:50",
"content": "im not really sure how to tell",
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"timestamp": "06/22/2022 11:51:00",
"content": "consider what the formula for arc length says",
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"timestamp": "06/22/2022 11:52:39",
"content": "for this, would need the derivative of x^(3/2)\nthat square of that will be part of what's under the square root",
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"timestamp": "06/22/2022 11:52:59",
"content": "and you'll ultimately integrate the sqrt",
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"timestamp": "06/22/2022 11:55:39",
"content": "don't blindly perform actions randomly just because they may be involved in some way",
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"timestamp": "06/22/2022 12:05:43",
"content": "i still cannot figure out how the books answer is different",
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"timestamp": "06/22/2022 12:07:03",
"content": "even using and online calculator",
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"timestamp": "06/22/2022 12:07:38",
"content": "this is what im getting",
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"timestamp": "06/22/2022 12:08:08",
"content": "that's equivalent to the books answer",
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"timestamp": "06/22/2022 12:08:42",
"content": "oh... as i said that i thought of it and did it on my calculator",
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"timestamp": "06/22/2022 12:10:10",
"content": "you think its possible to do a calc 2 class in 6 weeks for someone who hasnt done math in over 2 years",
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"id": 989200693413937200,
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"timestamp": "06/22/2022 12:10:23",
"content": "even with private tutors im finding myself struggling on these topics",
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"timestamp": "06/22/2022 12:10:43",
"content": "depends how good your algebra is",
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"timestamp": "06/22/2022 12:10:49",
"content": "hmm i see",
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"timestamp": "06/22/2022 12:11:45",
"content": "thanks for the help",
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"id": 989201064240767000,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 12:11:52",
"content": "not sure how to free up the channel",
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"author_id": 220517274845577200,
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"timestamp": "06/22/2022 12:11:58",
"content": "`.close`",
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"timestamp": "06/22/2022 12:12:14",
"content": ".close",
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{
"id": 989201162119020700,
"author_id": 805217272087838700,
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"timestamp": "06/22/2022 12:12:15",
"content": "Channel closed",
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}
] |
help-9
|
b304da30a48545f6bc49293bf4ed850e
|
196,769 |
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"timestamp": "06/22/2022 12:13:15",
"content": "Available help channel!",
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"id": 989201575077626000,
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"timestamp": "06/22/2022 12:13:53",
"content": "use the quotient rule",
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"content": "you can either differentiate, or know what $\\sin^2$ looks like geometrically",
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"content": "**Toby**",
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"content": "i got",
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"content": "-34",
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"timestamp": "06/22/2022 12:15:27",
"content": "for the first",
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"timestamp": "06/22/2022 12:15:55",
"content": "is is that correct",
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"timestamp": "06/22/2022 12:16:27",
"content": "it's correct",
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"timestamp": "06/22/2022 12:16:34",
"content": "okay thanks",
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"timestamp": "06/22/2022 12:16:40",
"content": "so then i differentiate sin^2x?",
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"content": "@Toby wait im confused yo",
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"content": "once i differentiate",
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"content": "what do i do after",
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"content": "what did you get? We are trying to solve $\\frac{dy}{dx}=0$.",
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"timestamp": "06/22/2022 12:18:53",
"content": "**Toby**",
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"content": "oh",
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"content": "i was getting the derivative of sin^2x",
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"content": "idk how to solve dy/dx=0, how do i even start with that",
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"content": "let's find the derivative first",
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"content": "of dy/dx=0?",
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"timestamp": "06/22/2022 12:21:17",
"content": "of sin^2x",
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"content": "2sin(x)cos(x)",
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"timestamp": "06/22/2022 12:22:51",
"content": "yup, then set that equal to zero and solve for x: $2\\sin(x)\\cos(x)=0$",
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"timestamp": "06/22/2022 12:23:07",
"content": "**Toby**",
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"timestamp": "06/22/2022 12:23:21",
"content": "we are just looking for the smallest positive solution, so we dont need to find every solution",
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"content": "i got pi/2",
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"content": "yup, that's correct",
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"content": "i used implicit differentiation",
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"content": "but i got",
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"content": "-1-ysin(xy)/-1+xsin(xy)",
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"content": "multiply it by $1=\\frac{-1}{-1}$",
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"content": "**Toby**",
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"timestamp": "06/22/2022 12:29:27",
"content": "so then my answer would be correct",
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"timestamp": "06/22/2022 12:29:30",
"content": "so d would be correct",
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"content": "yes",
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"content": "ty",
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"timestamp": "06/22/2022 12:31:17",
"content": "so the first and second deriv have to be positive",
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"timestamp": "06/22/2022 12:31:26",
"content": "if p and q are inflections then what does that mean for the derivative?",
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"timestamp": "06/22/2022 12:31:37",
"content": "it means f''=0",
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"timestamp": "06/22/2022 12:31:48",
"content": "what do these two statements mean geometrically?",
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"content": "what do u mean by geometrically",
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"timestamp": "06/22/2022 12:32:38",
"content": "what does a positive slope mean? is it increasing or decreasing",
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"timestamp": "06/22/2022 12:32:43",
"content": "increasing",
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"timestamp": "06/22/2022 12:33:01",
"content": "correct. and what does a positive second derivative tell us about concavity",
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"timestamp": "06/22/2022 12:33:39",
"content": "concave up",
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"timestamp": "06/22/2022 12:33:47",
"content": "if f'' is >0",
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"content": "yup",
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"timestamp": "06/22/2022 12:34:08",
"content": "so where on the graph is it both increasing and concave up?",
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"timestamp": "06/22/2022 12:34:46",
"content": "is it (d, e)?",
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"timestamp": "06/22/2022 12:34:58",
"content": "yup :)",
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"content": "tyy",
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"timestamp": "06/22/2022 12:35:21",
"content": "for this",
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"timestamp": "06/22/2022 12:35:23",
"content": "i think its b",
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"timestamp": "06/22/2022 12:35:32",
"content": "cause 3 is for sure right, 4 is also right",
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"timestamp": "06/22/2022 12:35:55",
"content": "what do u think",
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"timestamp": "06/22/2022 12:39:53",
"content": "yup, I agree",
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"content": "yo @Toby",
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"timestamp": "06/22/2022 12:50:12",
"content": "could u please help me draw this",
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"content": "ik its a big ask but im really confused on how to draw it tbh",
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"content": "im just confused on the x--> infinity parts",
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"content": "and the second derivatives too",
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"timestamp": "06/22/2022 12:51:28",
"content": "it means if x becomes very negative and large, f(x) gets very positive and large",
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"content": "second derivative tells us about concavity",
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"content": "how would i draw the second one tho",
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"content": "this",
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"timestamp": "06/22/2022 12:52:35",
"content": "it tends towards -2 as x becomes large",
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"timestamp": "06/22/2022 12:52:42",
"content": "i.e. theres an asymptote",
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"timestamp": "06/22/2022 12:54:28",
"content": "first, draw the two given points and put a dotted line for the horizontal asymptote at -2 and vertical asymptote at 3",
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"timestamp": "06/22/2022 12:56:17",
"content": "then draw (in pencil or something) arrows indicating the limits",
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"timestamp": "06/22/2022 12:56:33",
"content": "then try filling in the concavity and decreasing details",
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"timestamp": "06/22/2022 12:56:50",
"content": "wait so would the arrow be going counter clockwise",
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"content": "from -2",
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"timestamp": "06/22/2022 12:57:12",
"content": "it says it equals -2 though",
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"content": "so should the arrow be on -2",
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"content": "its decreasing to -2",
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"content": "so it would look like this",
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"timestamp": "06/22/2022 12:59:37",
"content": "Oh wait sorry",
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"content": "Sent that before",
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"content": "isnt that negative infinity though",
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"content": "x to positive infinity (so towards the right)",
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"content": "well it's actually decreasing, so it would go the other way",
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"timestamp": "06/22/2022 13:01:14",
"content": "it says +",
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"content": "so its increasing",
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"content": "that + doesnt mean positive infinity btw, it means approaching from the right side",
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"content": "it is positive infinity though foc",
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"timestamp": "06/22/2022 13:01:54",
"content": "ofc",
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"timestamp": "06/22/2022 13:02:32",
"content": "ig you figured it out lol",
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"content": "my attempt",
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"content": "wait i think u got it",
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"content": "so u know how ur arrow was on the right side",
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"content": "i think it should be at the top",
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"timestamp": "06/22/2022 13:03:51",
"content": "well both",
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"content": "it goes to infinity along both asymptotes",
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"content": "oh wait im talking about the second one",
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"timestamp": "06/22/2022 13:04:30",
"content": "this",
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"timestamp": "06/22/2022 13:04:35",
"content": "so wait is that one on the left",
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"timestamp": "06/22/2022 13:04:59",
"content": "im acc so confused",
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"content": "$x\\to+\\infty$ means x gets large and positive, i.e. to the right",
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"timestamp": "06/22/2022 13:06:20",
"content": "**Toby**",
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"timestamp": "06/22/2022 13:06:26",
"content": "yes",
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"timestamp": "06/22/2022 13:07:05",
"content": "and since it's decreasing, then it would come from above to the asymptote",
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"timestamp": "06/22/2022 13:07:31",
"content": "also yo",
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"content": "usee the arrow on the right",
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"timestamp": "06/22/2022 13:07:43",
"content": "is that for this",
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"timestamp": "06/22/2022 13:08:52",
"content": "it's this part",
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"timestamp": "06/22/2022 13:09:34",
"content": "wait so did u get them all then?",
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"timestamp": "06/22/2022 13:10:05",
"content": "acc yo i got them",
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"timestamp": "06/22/2022 13:10:08",
"content": "they all match",
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"timestamp": "06/22/2022 13:10:17",
"content": "cause the concave up and dwon shit works for the limits",
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"timestamp": "06/22/2022 13:10:43",
"content": "yeah",
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"timestamp": "06/22/2022 13:10:47",
"content": "i have 2 more",
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"timestamp": "06/22/2022 13:11:02",
"content": "that i had trouble on",
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"timestamp": "06/22/2022 13:12:44",
"content": "let the base have width x, and box have height h. what is the volume and the surface area in terms of x and h?",
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"timestamp": "06/22/2022 13:14:06",
"content": "v=xh?",
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"timestamp": "06/22/2022 13:14:30",
"content": "V=x^2h",
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"timestamp": "06/22/2022 13:14:51",
"content": "wtf",
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"timestamp": "06/22/2022 13:14:55",
"content": "yeah im buggin",
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"timestamp": "06/22/2022 13:15:09",
"content": "alg",
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"timestamp": "06/22/2022 13:16:17",
"content": "okay and then what",
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"timestamp": "06/22/2022 13:16:52",
"content": "since we got the formula now",
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"timestamp": "06/22/2022 13:17:12",
"content": "now what is the surface area equal to?",
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"timestamp": "06/22/2022 13:18:28",
"content": "isnt this the formula for surface area here tho",
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"timestamp": "06/22/2022 13:18:32",
"content": "v=x^2h",
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"timestamp": "06/22/2022 13:19:11",
"content": "like basically its",
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"timestamp": "06/22/2022 13:19:18",
"content": "2lw+2lh+2wh",
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"timestamp": "06/22/2022 13:19:19",
"content": "but",
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"timestamp": "06/22/2022 13:19:29",
"content": "what did we get v=x^2h for",
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"content": "volume",
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"timestamp": "06/22/2022 13:20:25",
"content": "note that it has an open top, so surface area is $A=x^2+4xh$",
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"timestamp": "06/22/2022 13:20:27",
"content": "**Toby**",
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"timestamp": "06/22/2022 13:20:36",
"content": "we also have $V=x^2h=967$",
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"content": "**Toby**",
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"timestamp": "06/22/2022 13:21:17",
"content": "yeah",
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"timestamp": "06/22/2022 13:21:18",
"content": "we can get rid of h in equation for A, then use calculus to minimise",
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"timestamp": "06/22/2022 13:21:32",
"content": "how do we get rid of h",
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"timestamp": "06/22/2022 13:21:39",
"content": "bro im sorry i am so shit at math lmao",
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"content": "can u just walk me through the steps pls?",
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"content": "$h=\\frac{967}{x^2}$",
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"timestamp": "06/22/2022 13:22:42",
"content": "**Toby**",
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"timestamp": "06/22/2022 13:22:48",
"content": "by rearranging the volume formula",
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"timestamp": "06/22/2022 13:22:57",
"content": "then we can substitute into the formula for A",
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"content": "ohh",
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"timestamp": "06/22/2022 13:23:10",
"content": "so our volume",
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"content": "is 967",
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"timestamp": "06/22/2022 13:23:19",
"content": "nah you aren't, you seem pretty good from how fast you are at picking stuff up",
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"content": "yup, it's in the question",
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"content": "yeah but i thought u were talking about the other formla",
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"timestamp": "06/22/2022 13:23:50",
"content": "im like wtf cause i had no idea how to get rid of h there",
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"content": "ah lol",
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"timestamp": "06/22/2022 13:23:53",
"content": "we need to use both formulas",
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"timestamp": "06/22/2022 13:24:30",
"content": "but now we have 967/x^2",
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"timestamp": "06/22/2022 13:24:53",
"content": "and x is our widtrh",
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"content": "yup",
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"timestamp": "06/22/2022 13:25:07",
"content": "if we put it in A we get $A=x^2+4\\left(\\frac{967}{x}\\right)$",
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"timestamp": "06/22/2022 13:25:10",
"content": "**Toby**",
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"timestamp": "06/22/2022 13:25:55",
"content": "isnt it 4xh",
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"timestamp": "06/22/2022 13:26:59",
"content": "yeah, but we can substitute for h by looking at this ^",
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"timestamp": "06/22/2022 13:27:04",
"content": "ik",
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"content": "but where did the x go",
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"content": "oh, i cancelled it with the x^2",
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"content": "4x(967/x)",
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"content": "it's x^2 on the bottom",
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"content": "yeah mb i thought it would just turn to x^3",
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"timestamp": "06/22/2022 13:27:38",
"content": "for some reason",
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"timestamp": "06/22/2022 13:27:39",
"content": "damn",
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"content": "hm",
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"timestamp": "06/22/2022 13:27:57",
"content": "now time for calculus :p",
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"content": "do you know how to minimise/maximise functions?",
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"timestamp": "06/22/2022 13:28:31",
"content": "no",
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"timestamp": "06/22/2022 13:29:01",
"content": "minimise means find a minimum. and a minimum is when first derivative is 0 and second derivative is negative",
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"content": "so we need to differentiate A wrt x then solve it for critical points",
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"timestamp": "06/22/2022 13:29:24",
"content": "then check which one is a minimum",
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"timestamp": "06/22/2022 13:29:44",
"content": "wait",
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"timestamp": "06/22/2022 13:29:46",
"content": "so we differentiate",
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"timestamp": "06/22/2022 13:29:48",
"content": "the formula",
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"content": "yup",
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"content": "a=",
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"timestamp": "06/22/2022 13:29:55",
"content": "bruh what",
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"timestamp": "06/22/2022 13:29:58",
"content": "so its just a=2x",
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"timestamp": "06/22/2022 13:29:59",
"content": "?",
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"content": "you need to differentiate 1/x as well",
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"content": "1/1",
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"timestamp": "06/22/2022 13:30:47",
"content": "unfortunately, it's not that easy",
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"content": "In(x)",
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"timestamp": "06/22/2022 13:31:04",
"content": "no idea LMAO sorry bro",
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"timestamp": "06/22/2022 13:31:05",
"content": "either write $\\frac{1}{x}=x^{-1}$ or use the quotient rule",
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"timestamp": "06/22/2022 13:31:08",
"content": "**Toby**",
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"timestamp": "06/22/2022 13:31:24",
"content": "ill use quotient",
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"id": 989221153816059900,
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"author_name": "refpooch",
"timestamp": "06/22/2022 13:31:41",
"content": "but yo",
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"id": 989221154021597200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/22/2022 13:31:41",
"content": ",w d/dx x^2+4(967/x)",
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"timestamp": "06/22/2022 13:31:46",
"content": "Results provided by WolframAlpha",
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"id": 989221175148302300,
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"timestamp": "06/22/2022 13:31:46",
"content": "it doesnt matter that its 967/x",
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"id": 989221196337905800,
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"timestamp": "06/22/2022 13:31:52",
"content": "does it",
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"author_id": 764959481070616600,
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"timestamp": "06/22/2022 13:31:55",
"content": "it does matter",
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"author_id": 764959481070616600,
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"timestamp": "06/22/2022 13:31:59",
"content": "oh",
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"timestamp": "06/22/2022 13:32:05",
"content": "well it's a constant",
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"id": 989221265363574800,
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"timestamp": "06/22/2022 13:32:08",
"content": "so nothing happens to it",
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"timestamp": "06/22/2022 13:32:42",
"content": "i gtg for a bit. bbl",
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"timestamp": "06/22/2022 13:46:52",
"content": "@refpooch Has your question been resolved?",
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"timestamp": "06/22/2022 14:01:52",
"content": "Channel closed",
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}
] |
help-9
|
6da18ac5a8f14002bdfdc3abdab26718
|
196,770 |
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"timestamp": "03/21/2022 13:28:28",
"content": "Available help channel!",
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{
"id": 955522541819142100,
"author_id": 625376372054818800,
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"timestamp": "03/21/2022 13:45:26",
"content": "Hello",
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},
{
"id": 955522545518538800,
"author_id": 805217272087838700,
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"timestamp": "03/21/2022 13:45:27",
"content": "Pinned a message.",
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"author_id": 625376372054818800,
"author_name": "Loading…",
"timestamp": "03/21/2022 13:45:31",
"content": "I have a problem with vectors",
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{
"id": 955522687726403600,
"author_id": 625376372054818800,
"author_name": "Loading…",
"timestamp": "03/21/2022 13:46:01",
"content": "These 2 vectors are on the same line",
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"timestamp": "03/21/2022 13:46:07",
"content": "I have to find a",
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"author_name": "Loading…",
"timestamp": "03/21/2022 13:54:27",
"content": "@Helpers",
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"id": 955528543977238500,
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"timestamp": "03/21/2022 14:09:17",
"content": "@Helpers",
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"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:11:31",
"content": "idk i cant think rn",
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"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:11:54",
"content": "Vectors are on the same line so",
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"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:12:15",
"content": "uhh",
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"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:13:59",
"content": "so the angle these include is zero",
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"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:15:22",
"content": "$\\cos(\\alpha)=\\frac{\\text{AB}\\cdot\\text{BC}}{|\\text{AB}|\\cdot |\\text{BC}|}$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/21/2022 14:16:03",
"content": "**Big xdddd**",
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"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:16:13",
"content": "idk if this formular is correct",
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"id": 955530335741939800,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:16:24",
"content": "so cos(0) = 1",
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"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:16:35",
"content": "you got an equation with one variable",
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"id": 955530458685403300,
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"timestamp": "03/21/2022 14:16:54",
"content": "Ok thank you",
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},
{
"id": 955530480562872400,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:16:59",
"content": "BRO WAIT",
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},
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"id": 955530499147849900,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:17:03",
"content": "IDK IF ITS CORRECT",
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},
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"id": 955530520064827400,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:17:08",
"content": "@Helpers",
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},
{
"id": 955530521809670100,
"author_id": 625376372054818800,
"author_name": "Loading…",
"timestamp": "03/21/2022 14:17:09",
"content": "But wait",
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},
{
"id": 955530567569522700,
"author_id": 625376372054818800,
"author_name": "Loading…",
"timestamp": "03/21/2022 14:17:20",
"content": "This is 3d",
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},
{
"id": 955530604655562800,
"author_id": 625376372054818800,
"author_name": "Loading…",
"timestamp": "03/21/2022 14:17:29",
"content": "Idk sht about that",
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},
{
"id": 955530648670593200,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:17:39",
"content": "what",
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},
{
"id": 955530681637826700,
"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "03/21/2022 14:17:47",
"content": "obv its 3d",
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"id": 955534380049256400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 14:32:29",
"content": "@Loading… Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 14:32:44",
"content": "Channel closed",
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}
] |
help-9
|
f48ca0f31c6441ea80c79f3ada5d4b67
|
196,771 |
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"id": 958058858901803100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 13:43:51",
"content": "Available help channel!",
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"id": 958060009596530700,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:48:26",
"content": "From the top of a tower of height 200m, a ball A is projected upward with 10m/s and 2 seconds later another ball B is vertically projected downward with same speed. (Take g=10m/s) Choose the correct options:\n1) Both A and B will reach the ground simultaneously. \n2)The ball A will hit the ground 2 seconds later than ball B\n3) Both the balls will hit the ground with same velocity. \n4. None of these.",
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"timestamp": "03/28/2022 13:48:26",
"content": "Pinned a message.",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:49:09",
"content": "I am hundred percent sure of answer of 3 but this question has multiple answers. And I checked the answer and it seems 1 is also the answer. I don't understand why?",
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"id": 958060490096017400,
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"author_name": "Calamity",
"timestamp": "03/28/2022 13:50:20",
"content": "simultaneously means at same time",
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"author_id": 482560532688404500,
"author_name": "magsigmus",
"timestamp": "03/28/2022 13:50:25",
"content": "After the first two seconds ball a has changed its velocity by -20 m/s",
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"author_name": "Calamity",
"timestamp": "03/28/2022 13:50:42",
"content": "You mean relative velocity",
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"timestamp": "03/28/2022 13:50:48",
"content": "Yes",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 13:51:24",
"content": "well, relative to the person that threw the ball",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:52:07",
"content": "I thought relative to ball B",
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"timestamp": "03/28/2022 13:52:45",
"content": "That would not be the case",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 13:53:40",
"content": "did you get an answer to your qustion, or did i explain it badly?",
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"timestamp": "03/28/2022 13:55:31",
"content": "I got the answer I think",
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"timestamp": "03/28/2022 13:55:47",
"content": "I'm not sure thou",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:56:07",
"content": "But anyway the answer seems to be 1 and 3",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 13:56:24",
"content": "What do you not understand?",
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"timestamp": "03/28/2022 13:56:38",
"content": "Relative to B it is -20",
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"author_name": "Calamity",
"timestamp": "03/28/2022 13:57:06",
"content": "You're saying -20 relative to the person throwing the two balls",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 13:57:40",
"content": "The velocity is allways measured realtive the refence frame.",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:58:01",
"content": "Ground and man throwing the ball is same",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:58:43",
"content": "Don't you think you are wrong there",
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"id": 958062809869062100,
"author_id": 482560532688404500,
"author_name": "magsigmus",
"timestamp": "03/28/2022 13:59:33",
"content": "it doesn't make sence to consider the velocities relative to eachother?",
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"id": 958062888038330400,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 13:59:52",
"content": "How do you convert to -20 then?",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 14:00:06",
"content": "ah, ok",
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"id": 958062955101032600,
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"timestamp": "03/28/2022 14:00:08",
"content": "so",
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"id": 958062995215368300,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:00:18",
"content": "So am I right",
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{
"id": 958063145455345800,
"author_id": 482560532688404500,
"author_name": "magsigmus",
"timestamp": "03/28/2022 14:00:53",
"content": "When ball b is thrown what is the velocity of ball a relative to the person that threw the balls?",
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"id": 958063270600798200,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:01:23",
"content": "-10?",
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"author_id": 482560532688404500,
"author_name": "magsigmus",
"timestamp": "03/28/2022 14:01:49",
"content": "yes, what is the velocity of ball b?",
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"id": 958063450976841700,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:02:06",
"content": "+10",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 14:02:30",
"content": "no, since the ball is thrown downwards",
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"id": 958063571307212800,
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"timestamp": "03/28/2022 14:02:35",
"content": "it's -10",
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"id": 958063587627253800,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:02:39",
"content": "Ohh",
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"id": 958063640555192400,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:02:51",
"content": "I misthought that to be ball A",
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"author_name": "Calamity",
"timestamp": "03/28/2022 14:03:16",
"content": "But I can assume any direction I want with negative or positive sign right",
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"timestamp": "03/28/2022 14:03:33",
"content": "Downward direction is negative only generally",
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"author_name": "magsigmus",
"timestamp": "03/28/2022 14:04:08",
"content": "yes, but it depends on the referene frame.",
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"timestamp": "03/28/2022 14:04:37",
"content": "You mean since displacement up is positive so velocity up will be positive too",
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"timestamp": "03/28/2022 14:04:43",
"content": "I see",
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"timestamp": "03/28/2022 14:05:18",
"content": "So it's -10 velocity of ball B",
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"timestamp": "03/28/2022 14:05:37",
"content": "How did you convert to -20 though?",
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"timestamp": "03/28/2022 14:05:56",
"content": "that was the change in velocity of ball a",
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"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:06:07",
"content": "I don't understand",
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"id": 958064492460261500,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "03/28/2022 14:06:14",
"content": "What change in velocity",
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"author_id": 461556883384434700,
"author_name": "Micni9",
"timestamp": "03/28/2022 14:07:41",
"content": "i don't think 1 is correct",
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"author_name": "Micni9",
"timestamp": "03/28/2022 14:07:48",
"content": "$s_1(t)=200+(10-10t)t$\n$s_2(t)=200+(-10-10(t-2))(t-2)$",
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},
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"author_name": "TeXit",
"timestamp": "03/28/2022 14:07:51",
"content": "**Micni9**",
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"timestamp": "03/28/2022 14:08:19",
"content": "It is correct",
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"timestamp": "03/28/2022 14:08:32",
"content": "Answer is verified by expert teacher",
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"timestamp": "03/28/2022 14:08:49",
"content": "the change in ball A's velocity over 2 seconds",
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"content": "Ohh",
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"content": "I see what you mean now",
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"content": "You didn't mention s1 and s2 btw",
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"timestamp": "03/28/2022 14:10:46",
"content": "like what they are",
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"timestamp": "03/28/2022 14:11:07",
"content": "but i don't see why it is true",
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"timestamp": "03/28/2022 14:11:40",
"content": "s1 and s2 is the displacement of both ball at time t",
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"timestamp": "03/28/2022 14:11:57",
"content": "I think it's becaus they take same time to hit ground after down the tower",
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"content": "If you minus 2 seconds",
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"timestamp": "03/28/2022 14:13:10",
"content": "if i m not mistaken, ball a takes 5 seconds to hit the ground but, ball b only need 4",
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"timestamp": "03/28/2022 14:13:27",
"content": "6 seconds",
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"content": "t=2u/g",
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"timestamp": "03/28/2022 14:14:03",
"content": "ya, i mean it need 4 seconds to reach the ground after it is projected",
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"timestamp": "03/28/2022 14:14:29",
"content": "Yes!",
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"timestamp": "03/28/2022 14:14:44",
"content": "Its confusing",
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"content": "that's why i think 1 is wrong",
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"timestamp": "03/28/2022 14:15:23",
"content": "If you minus the 2 seconds delay it seem they hit the ground simultaneoysly",
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"timestamp": "03/28/2022 14:15:30",
"content": "Maybe this is the reason?",
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"timestamp": "03/28/2022 14:15:45",
"content": "5 and 6 seconds is not the same time",
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"timestamp": "03/28/2022 14:16:03",
"content": "4 and 6 seconds",
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"timestamp": "03/28/2022 14:16:03",
"content": "same goes with 5 and 4",
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"timestamp": "03/28/2022 14:16:46",
"content": "both of this is not related to ball a",
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"content": "",
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"timestamp": "03/28/2022 14:16:47",
"content": "Is it right?",
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"timestamp": "03/28/2022 14:18:02",
"content": "It's 6",
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"timestamp": "03/28/2022 14:18:04",
"content": "Not 5",
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"timestamp": "03/28/2022 14:18:51",
"content": "u means ball a takes 6 seconds to hit the ground?",
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"timestamp": "03/28/2022 14:18:59",
"content": "Yes",
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"timestamp": "03/28/2022 14:19:02",
"content": "but how",
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"timestamp": "03/28/2022 14:19:13",
"content": "I need to look at question again",
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"timestamp": "03/28/2022 14:19:45",
"content": "From the top of a tower of height 200m, a ball A is projected upward with 10m/s and 2 seconds later another ball B is vertically projected downward with same speed. (Take g=10m/s) Choose the correct options:\n1) Both A and B will reach the ground simultaneously. \n2)The ball A will hit the ground 2 seconds later than ball B\n3) Both the balls will hit the ground with same velocity. \n4. None of these.",
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"author_name": "Calamity",
"timestamp": "03/28/2022 14:20:10",
"content": "I think ball A takes 6 seconds",
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"timestamp": "03/28/2022 14:20:14",
"content": "And ball B 4 secs",
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"timestamp": "03/28/2022 14:20:24",
"content": "And due to 2 secs delay they hit ground simultaneously",
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"timestamp": "03/28/2022 14:21:04",
"content": "but i think ball A needs only 5 seconds",
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"timestamp": "03/28/2022 14:21:11",
"content": "How",
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"timestamp": "03/28/2022 14:21:19",
"content": "t=2u\\g",
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"timestamp": "03/28/2022 14:21:32",
"content": "you put u = 10 and you get 2 seconds",
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"timestamp": "03/28/2022 14:23:41",
"content": "Can you explain how you reached t = 5 seconds",
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"timestamp": "03/28/2022 14:23:53",
"content": "ohh i get what's wrong with me",
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"timestamp": "03/28/2022 14:24:20",
"content": "This is confusing",
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"author_name": "Micni9",
"timestamp": "03/28/2022 14:25:17",
"content": "like u said after 2 seconds ball A back to the original spot(200 m height)",
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"timestamp": "03/28/2022 14:25:31",
"content": "I might be wrong",
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"timestamp": "03/28/2022 14:25:45",
"content": "But yeah that's what I said",
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"timestamp": "03/28/2022 14:26:07",
"content": "at this time ball A has a velocity of -10 which is same with ball B",
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"timestamp": "03/28/2022 14:26:17",
"content": "Yes",
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"author_name": "Calamity",
"timestamp": "03/28/2022 14:26:25",
"content": "So they hit the ground simultaneously right",
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"timestamp": "03/28/2022 14:26:40",
"content": "yup",
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"timestamp": "03/28/2022 14:26:51",
"content": "I see",
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"timestamp": "03/28/2022 14:26:59",
"content": "sorry for misleading",
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"timestamp": "03/28/2022 14:27:05",
"content": "Np",
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"timestamp": "03/28/2022 14:27:08",
"content": ".close",
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{
"id": 958069753803571300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 14:27:09",
"content": "Channel closed",
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] |
help-9
|
fcfd72d6efae4c37b1a3f0917fa1cbee
|
196,772 |
[
{
"id": 989229001555980400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:02:52",
"content": "Available help channel!",
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},
{
"id": 989231297551548400,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:12:00",
"content": "how can I get the Image of an equation",
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},
{
"id": 989231300265246700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:12:01",
"content": "Pinned a message.",
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{
"id": 989231317763887100,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:12:05",
"content": "like the opposite of Domain",
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},
{
"id": 989231371526500400,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:12:18",
"content": "E.g: Image of (x-1)/x",
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},
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"id": 989231457706852500,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:12:38",
"content": "I have to plot it or its not necessary",
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},
{
"id": 989231658039398500,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:13:26",
"content": "range?",
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{
"id": 989231750293102600,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:13:48",
"content": "so for this you need to find minimum and maximum values",
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},
{
"id": 989231764654403600,
"author_id": 850444002582593500,
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"timestamp": "06/22/2022 14:13:51",
"content": "yeah",
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{
"id": 989231767229702300,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:13:52",
"content": "range",
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},
{
"id": 989231790717796500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "06/22/2022 14:13:57",
"content": "splitting the fraction up may help",
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},
{
"id": 989231949853892600,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:14:35",
"content": "yeah but I dont know how to do it",
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{
"id": 989231973757247500,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:14:41",
"content": "I mean I've no idea tbh 🤣",
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{
"id": 989231981889978400,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:14:43",
"content": "it is not necessary",
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"id": 989232013452128400,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:14:51",
"content": "first look at the equation",
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"id": 989232084516233300,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:15:07",
"content": "try plug in some x values to see what happens to the graph",
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{
"id": 989232160521212000,
"author_id": 356358102641279000,
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"timestamp": "06/22/2022 14:15:26",
"content": "plotting isn't necessary if you can deduce what it looks like by the equation",
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"id": 989232372694261800,
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"timestamp": "06/22/2022 14:16:16",
"content": "thats homographic function isnt it?",
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"id": 989232559621828600,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:17:01",
"content": "the image is in this case `(-inf;0)U(0;+inf)` ?",
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"timestamp": "06/22/2022 14:17:03",
"content": "nvm",
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"timestamp": "06/22/2022 14:17:05",
"content": "idk",
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"timestamp": "06/22/2022 14:17:11",
"content": "you are correct",
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"timestamp": "06/22/2022 14:17:15",
"content": "oh",
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"timestamp": "06/22/2022 14:17:18",
"content": ":think:",
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"timestamp": "06/22/2022 14:17:28",
"content": ":great:",
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"timestamp": "06/22/2022 14:18:01",
"content": "as @iCaird said tho splitting the fraction can help",
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"timestamp": "06/22/2022 14:18:08",
"content": "in this case you would get x/x -1/x",
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"timestamp": "06/22/2022 14:18:12",
"content": "or 1 -1/x",
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"timestamp": "06/22/2022 14:18:20",
"content": "might be easier to deal with",
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"timestamp": "06/22/2022 14:18:31",
"content": "as it is just a transformation of 1/x",
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"id": 989232954121289900,
"author_id": 356358102641279000,
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"timestamp": "06/22/2022 14:18:35",
"content": "but up to you",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "06/22/2022 14:18:41",
"content": "what happens when x=1?",
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"id": 989233067581382700,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:19:02",
"content": "its 0",
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},
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"id": 989233071888957400,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:19:03",
"content": "👀",
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},
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"id": 989233115249659900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "06/22/2022 14:19:13",
"content": "so you gotta rethink your answer",
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"id": 989233142659428500,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:19:20",
"content": "then its not homographic",
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"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:19:50",
"content": "@iCaird their answer is correct tho",
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"id": 989233318811816100,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:20:02",
"content": "oh wait",
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},
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"timestamp": "06/22/2022 14:20:03",
"content": "nvm",
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"author_name": "iCaird",
"timestamp": "06/22/2022 14:20:07",
"content": "its not no",
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},
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"id": 989233444733222900,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:20:32",
"content": "I get Y asymptote by doing X / X which gives 1",
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},
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"id": 989233448399044600,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:20:33",
"content": "so yeah",
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},
{
"id": 989233460302467200,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:20:36",
"content": "my bad",
"attachments": [],
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},
{
"id": 989233509266767900,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:20:47",
"content": "`(-inf;1)U(1;+inf)`",
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},
{
"id": 989233526106894500,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:20:51",
"content": "it is homographic but it is transformed",
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},
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"id": 989233561758490800,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:21:00",
"content": "still no",
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{
"id": 989233611364524200,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:21:12",
"content": "this may be of use",
"attachments": [],
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},
{
"id": 989233651617239000,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:21:21",
"content": "rearrange to make -1/x + 1",
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},
{
"id": 989233674786599000,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:21:27",
"content": "can you spot something?",
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},
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"id": 989233678636949600,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:21:28",
"content": ":think:",
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{
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"fileName": "unknown.png",
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"timestamp": "06/22/2022 14:21:35",
"content": "it is this",
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"timestamp": "06/22/2022 14:22:28",
"content": "oh yeah",
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},
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"id": 989233937043836900,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:22:29",
"content": "",
"attachments": [
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"id": 989233936209166500,
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"fileName": "unknown.png",
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"id": 989233937672970200,
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"timestamp": "06/22/2022 14:22:29",
"content": "my bad",
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},
{
"id": 989233972548628600,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:22:38",
"content": "dw I'm confusing myself",
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},
{
"id": 989233993939583000,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:22:43",
"content": "🤣",
"attachments": [],
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},
{
"id": 989234016215515100,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:22:48",
"content": "Or I'm confusing you",
"attachments": [],
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},
{
"id": 989234020023943200,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:22:49",
"content": "😛",
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},
{
"id": 989234095181676500,
"author_id": 356358102641279000,
"author_name": "IntelligentCake",
"timestamp": "06/22/2022 14:23:07",
"content": "yeah I'm gonna leave before I confuse you anymore lmao",
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},
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"id": 989234274790154400,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:23:50",
"content": ":decimation:",
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},
{
"id": 989234305538597000,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:23:57",
"content": "well question solved guys 👀",
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},
{
"id": 989234310697615400,
"author_id": 850444002582593500,
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"timestamp": "06/22/2022 14:23:58",
"content": "tysm",
"attachments": [],
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},
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"id": 989236429475418100,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/22/2022 14:32:23",
"content": ".close",
"attachments": [],
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},
{
"id": 989236431622926300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:32:24",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
07aafe4ae44b4ba6b70a428abed2d7f1
|
196,773 |
[
{
"id": 989236684686250100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:33:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989237357591019600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:36:05",
"content": "Pinned a message.",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:36:09",
"content": "Can anyone help me with this question?",
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},
{
"id": 989237544594059400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:36:49",
"content": "6 or 7",
"attachments": [],
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},
{
"id": 989237555130159100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:36:52",
"content": "6",
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},
{
"id": 989237607772872800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:37:04",
"content": "so",
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},
{
"id": 989237640371007600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:37:12",
"content": "do you know what quadratic equations are?",
"attachments": [],
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},
{
"id": 989237662470770800,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:37:17",
"content": "Yes...",
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},
{
"id": 989237976947101700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:38:32",
"content": "ok try to write it here",
"attachments": [],
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},
{
"id": 989238005808119900,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:38:39",
"content": "?",
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},
{
"id": 989238051995799600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:38:50",
"content": "i mean like.. the basic form",
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},
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"id": 989238065560178800,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:38:53",
"content": "Dude",
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},
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"id": 989238084270969000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:38:58",
"content": "I know calculus",
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},
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"id": 989238288655192000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:39:47",
"content": "...",
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},
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"id": 989238510139637900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:40:39",
"content": "then why cant you solve for question number 6",
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"timestamp": "06/22/2022 14:40:43",
"content": ":/",
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"id": 989238611461419000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:41:04",
"content": "You're not helping",
"attachments": [],
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},
{
"id": 989238651395403800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:41:13",
"content": "you're not complying",
"attachments": [],
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},
{
"id": 989238672517894100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:41:18",
"content": "Okay then",
"attachments": [],
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},
{
"id": 989238690830229500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:41:23",
"content": "ax^2 + bx + c",
"attachments": [],
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"reference": null
},
{
"id": 989238713223614600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:41:28",
"content": "ok lets just focus on the problem",
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},
{
"id": 989239303030862000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:43:49",
"content": "So?",
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},
{
"id": 989239345821155300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:43:59",
"content": "wait im helping 2 other help channels rn",
"attachments": [],
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},
{
"id": 989239384991760400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:44:08",
"content": "i think i might be unable to help this one too",
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},
{
"id": 989239394374389900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:44:10",
"content": "my bad",
"attachments": [],
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"reference": null
},
{
"id": 989239398988132400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/22/2022 14:44:11",
"content": "~~😄~~",
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},
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"id": 989239447264575500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/22/2022 14:44:23",
"content": "*sighs*",
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},
{
"id": 989239474712109000,
"author_id": 737860440075403400,
"author_name": "Srijandev",
"timestamp": "06/22/2022 14:44:29",
"content": "👋",
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},
{
"id": 989239720162767000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:45:28",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
deaff4497cdd4d97b211575596e57901
|
196,774 |
[
{
"id": 989239974002041000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 14:46:28",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 989241124382199800,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/22/2022 14:51:03",
"content": "can someone check these pls, im most concerned about the first part of b) since i feel like im just stating the obvious",
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"timestamp": "06/22/2022 14:51:03",
"content": "Pinned a message.",
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"author_name": "stμ₂dying",
"timestamp": "06/22/2022 14:56:07",
"content": "pls ping if u get the chance :WanWan:",
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"timestamp": "06/22/2022 15:11:07",
"content": "@stμ₂dying Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
7f1450e5f9b84ffcb2e669d97b4a296f
|
196,775 |
[
{
"id": 989253468688638000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 15:40:06",
"content": "Available help channel!",
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"reference": null
},
{
"id": 989254123088117900,
"author_id": 738541617211768800,
"author_name": "poopsicle",
"timestamp": "06/22/2022 15:42:42",
"content": "when using the unit circle what are the ratios for cosine sine and tangent",
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},
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"author_id": 738541617211768800,
"author_name": "poopsicle",
"timestamp": "06/22/2022 15:42:59",
"content": "like in terms of radius, x value and y value",
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},
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"id": 989254351988068500,
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"author_name": "Toby",
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"content": "",
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"id": 989254355003777000,
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"timestamp": "06/22/2022 15:43:37",
"content": "ik what they are with theta but in the case of there not being a triangle to form",
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"author_name": "poopsicle",
"timestamp": "06/22/2022 15:43:55",
"content": "like pi, pi/2, 0, 3pi/2 etc",
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},
{
"id": 989254847767400400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/22/2022 15:45:35",
"content": "it's still $(x,y)=(\\cos(\\pi/2),\\sin(\\pi/2))$, even if there's no triangle",
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"id": 989254858236383200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/22/2022 15:45:37",
"content": "**Toby**",
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"timestamp": "06/22/2022 15:46:01",
"content": "it's just that tan is undefined since the tangent is parallel to the x-axis",
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"author_name": "poopsicle",
"timestamp": "06/22/2022 15:46:41",
"content": "so is cos x/r and sin y/r",
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"author_name": "poopsicle",
"timestamp": "06/22/2022 15:47:21",
"content": "and then tan is ?? y/x?",
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"timestamp": "06/22/2022 15:52:19",
"content": "yes",
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"author_name": "poopsicle",
"timestamp": "06/22/2022 15:53:23",
"content": "oh okay thanks",
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},
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"author_id": 738541617211768800,
"author_name": "poopsicle",
"timestamp": "06/22/2022 15:53:32",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 15:53:33",
"content": "Channel closed",
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] |
help-9
|
5aaee67162bb48dd991b9a5f1c7d7d93
|
196,776 |
[
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"timestamp": "06/22/2022 15:54:33",
"content": "Available help channel!",
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},
{
"id": 989259369701048300,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:03:33",
"content": "Guys exactly what is the meaning of f'(x)?",
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"id": 989259374117662700,
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"content": "Pinned a message.",
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"id": 989259523023843500,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "06/22/2022 16:04:09",
"content": "Derivative",
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},
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"id": 989259532867883000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/22/2022 16:04:12",
"content": "the first derivative of the function f(x) with respect to x",
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},
{
"id": 989259606872162300,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:04:29",
"content": "Ok and what's the work of derivative?",
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},
{
"id": 989259672118763500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:04:45",
"content": "Derivation?",
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},
{
"id": 989259684995276800,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "06/22/2022 16:04:48",
"content": "It tells you the rate of change of a function",
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},
{
"id": 989259721909354500,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "06/22/2022 16:04:57",
"content": "Like the slope of a graph",
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},
{
"id": 989259866667364400,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:05:31",
"content": "I am still new to this and trying to understand what it means, like rate of change",
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},
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"id": 989259888343527400,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:05:36",
"content": "I am not sure what's happening",
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},
{
"id": 989260051271274600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:06:15",
"content": "Like wdym by rate of change of a function?",
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},
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"id": 989260796418728000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "06/22/2022 16:09:13",
"content": "consider average rate of change from algebra 1",
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},
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"id": 989260817662890100,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "06/22/2022 16:09:18",
"content": "Like I saw a question which is f(x)=1/x and the formula used to do it is $\\Delta f / \\Delta x = (f(x_0+\\Delta x ) - f(x_0) / \\Delta x)$",
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"author_name": "meow meow meow",
"timestamp": "06/22/2022 16:09:36",
"content": "now consider the value that it approaches as the distance you're calculating average rate of change over goes to 0",
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"timestamp": "06/22/2022 16:09:40",
"content": "**Night Wølf**",
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"author_name": "meow meow meow",
"timestamp": "06/22/2022 16:10:32",
"content": "do you remember the average rate of change formula",
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"timestamp": "06/22/2022 16:24:18",
"content": "@Night Wølf Has your question been resolved?",
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"timestamp": "06/22/2022 16:39:19",
"content": "Channel closed",
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}
] |
help-9
|
626ada97de9449f680c7d418377b4cbb
|
196,777 |
[
{
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"timestamp": "06/22/2022 17:11:26",
"content": "Available help channel!",
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},
{
"id": 989278131565248500,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 17:18:06",
"content": "what formula would i be using here? i dont think the arc length formula works",
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"content": "Pinned a message.",
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"id": 989278564501295100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "06/22/2022 17:19:49",
"content": "arc length formula works",
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},
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"id": 989278603009224700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "06/22/2022 17:19:58",
"content": "you just swap x and y",
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},
{
"id": 989278747314258000,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 17:20:33",
"content": "would it be 1/2y^1/2 for f'x?",
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},
{
"id": 989278772505235500,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 17:20:39",
"content": "maybe thats what im gettingwrong",
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},
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"id": 989278873982210000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "06/22/2022 17:21:03",
"content": "x' = 1/2sqrt(y) yes",
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},
{
"id": 989279009202389000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "06/22/2022 17:21:35",
"content": "this would be integral sqrt(x'^2 + 1) dy",
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},
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"id": 989280917031895000,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 17:29:10",
"content": "hmm okay thanks",
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},
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"id": 989280946563985400,
"author_id": 429471823999139840,
"author_name": "Simolic",
"timestamp": "06/22/2022 17:29:17",
"content": ".close",
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"timestamp": "06/22/2022 17:29:18",
"content": "Channel closed",
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}
] |
help-9
|
6f8476dad20c4ed8ba957c17b5eef510
|
196,778 |
[
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"content": "Available help channel!",
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"id": 989281240303677400,
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"content": "Pinned a message.",
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"id": 989281281957302300,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:30:37",
"content": "Learning limits, doing practice questions",
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},
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"id": 989281316921024500,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:30:45",
"content": "not sure how I could factor the top side at all?",
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},
{
"id": 989281694840389800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:32:16",
"content": "just plug in 1",
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},
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"id": 989282074861121500,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:33:46",
"content": "yea but there is nothing that",
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},
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"id": 989282101830500400,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:33:53",
"content": "oh should I just use quadratic formula?",
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"id": 989282488193015800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:35:25",
"content": "Nothing that what",
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"id": 989282523852968000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:35:33",
"content": "No",
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"id": 989282872911364100,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:36:56",
"content": "there are no factors that multiply to a negative 23 and add up to 3",
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"id": 989283000451752000,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "06/22/2022 17:37:27",
"content": ".",
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"id": 989283045955743700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:37:38",
"content": "why are you so against plugging in 1 and insistent on wanting this?",
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"id": 989283296326344800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:38:37",
"content": "first rule to limit problems is, if you can just plug in the value that's being approached, then do it",
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"id": 989283326059753500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/22/2022 17:38:44",
"content": "apply that here",
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"id": 989283718533374000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/22/2022 17:40:18",
"content": "Unless you run into divide by 0 or other wacky things just plug and see if it works first",
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},
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"id": 989284001988616200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "06/22/2022 17:41:26",
"content": "You can legit just plug in 1",
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"author_name": "Daybreak",
"timestamp": "06/22/2022 17:43:26",
"content": "okay go it",
"attachments": [],
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},
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"id": 989284510904488000,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:43:27",
"content": "thank you!",
"attachments": [],
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},
{
"id": 989284581716930600,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:43:44",
"content": "I think my brain fried, I didn't realize",
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},
{
"id": 989284592412401700,
"author_id": 758564047909290000,
"author_name": "Daybreak",
"timestamp": "06/22/2022 17:43:46",
"content": "what u were talking about.",
"attachments": [],
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},
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"id": 989288368129077200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 17:58:47",
"content": "@Daybreak Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 18:06:00",
"content": "Channel closed",
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}
] |
help-9
|
c96d9165855241cdbf3de85a1c4b8416
|
196,779 |
[
{
"id": 989311110580666500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 19:29:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 989314124188106800,
"author_id": 224455497347104770,
"author_name": "LegalizeAnime",
"timestamp": "06/22/2022 19:41:07",
"content": "A → (B ∨ C) ≡ (A → B) ∨ (A → C) \n~A v (B v C) ⇔ (A → B) ∨ (A → C) *Conditional Equivalence\n(~A v B) v (~A v C) ⇔ (A → B) ∨ (A → C) *Distributive Property\n(A → B) ∨ (A → C) ≡ (A → B) ∨ (A → C) * Conditional Equivalence",
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"id": 989314125953908900,
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"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 19:41:08",
"content": "Pinned a message.",
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"id": 989314164516347900,
"author_id": 224455497347104770,
"author_name": "LegalizeAnime",
"timestamp": "06/22/2022 19:41:17",
"content": "Just wanted to see if I proved this right",
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"timestamp": "06/22/2022 19:56:17",
"content": "@LegalizeAnime Has your question been resolved?",
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"timestamp": "06/22/2022 20:04:59",
"content": "@Helpers",
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},
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"id": 989327679239106700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 20:34:59",
"content": "@LegalizeAnime Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 21:38:56",
"content": "@LegalizeAnime Has your question been resolved?",
"attachments": [],
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"id": 989347531005775900,
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"author_name": "Kevin Leon",
"timestamp": "06/22/2022 21:53:52",
"content": "Has your question been resolved?",
"attachments": [],
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"reference": null
},
{
"id": 989367237355905000,
"author_id": 281221474604548100,
"author_name": "PoisonedFood",
"timestamp": "06/22/2022 23:12:10",
"content": "What is the question? What are you trying to prove?",
"attachments": [],
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},
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"id": 989377304595693600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/22/2022 23:52:11",
"content": "@LegalizeAnime Has your question been resolved?",
"attachments": [],
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"timestamp": "06/23/2022 01:52:11",
"content": "Channel closed",
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}
] |
help-9
|
56438c8920a24869a9580bdba1e871cd
|
196,780 |
[
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 03:20:10",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 989431046904885200,
"author_id": 979508041483427800,
"author_name": "alcithoe",
"timestamp": "06/23/2022 03:25:44",
"content": "Please help.",
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"content": "Pinned a message.",
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"timestamp": "06/23/2022 03:40:44",
"content": "@alcithoe Has your question been resolved?",
"attachments": [],
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"timestamp": "06/23/2022 03:40:53",
"content": "@Helpers",
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"id": 989442409190531100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 04:10:53",
"content": "@alcithoe Has your question been resolved?",
"attachments": [],
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"name": "alcithoe",
"discriminator": "0691",
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"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "06/23/2022 04:17:06",
"content": "Remind me -- in this context, regular means the derivative / tangent map $\\sigma_*$ (or however it's denoted) is injective, yes?",
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},
{
"id": 989444070046847000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 04:17:29",
"content": "**daveamayombo**",
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"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "06/23/2022 04:19:24",
"content": "Or said differently, that if $u, v$ are the coordinates on $U$, then $\\frac{\\partial \\sigma}{\\partial u}$ and $\\frac{\\partial \\sigma}{\\partial v}$ are linearly independent.",
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"id": 989444564274249700,
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"timestamp": "06/23/2022 04:19:27",
"content": "**daveamayombo**",
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"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "06/23/2022 04:21:51",
"content": "Then the relevance of exercise C2 is that two vectors in $\\bR^3$ are linearly independent if and only if their cross-product is non-zero.",
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"timestamp": "06/23/2022 04:21:53",
"content": "**daveamayombo**",
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"timestamp": "06/23/2022 04:40:53",
"content": "Channel closed",
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}
] |
help-9
|
9c4188939e434e11ba3a8c2388ab0aee
|
196,781 |
[
{
"id": 989450214265991200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 04:41:54",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989454419554881500,
"author_id": 361196751010529300,
"author_name": "carlo",
"timestamp": "06/23/2022 04:58:36",
"content": "Hello beloved Community,\n\nI have a formula from a paper that I am trying to fully understand.\n\nIt is a formula in the realm of optimization\n\nWhere:\nMk = Archive that stores Objective values of all detectors\nEt = a pre-defined threshold → the solution of the fomula\nR(t) = Nadir Point at time t\nU(t) = Utopia / Ideal Point at time t\nfm(Xj,t) = Objective value at time t\nfm(Xj,t-1) = Objective value at time t-1\n\n\nWhat I dont really understand is the \"Sum Notation\" in that case, what does it mean?",
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 04:58:37",
"content": "Pinned a message.",
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"id": 989455573458251800,
"author_id": 361196751010529300,
"author_name": "carlo",
"timestamp": "06/23/2022 05:03:11",
"content": "I Think i got it omg",
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},
{
"id": 989456713331667000,
"author_id": 361196751010529300,
"author_name": "carlo",
"timestamp": "06/23/2022 05:07:43",
"content": "Ok no i dont",
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},
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"id": 989460473315483600,
"author_id": 361196751010529300,
"author_name": "carlo",
"timestamp": "06/23/2022 05:22:40",
"content": "@Helpers Hi can anyone help me on that?",
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},
{
"id": 989464249279598600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 05:37:40",
"content": "@carlo Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 06:07:44",
"content": "@carlo Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 07:07:53",
"content": "@carlo Has your question been resolved?",
"attachments": [],
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"id": 989491149645418500,
"author_id": 683299579307098100,
"author_name": "kelvinchan9786",
"timestamp": "06/23/2022 07:24:33",
"content": "Do you know the usual notation $\\displaystyle\\sum_{k=1}^{3} f(x)$? It is just $f(1) + f(2) + f(3)$. \\\\\nThis summation notation is similar, but you sub. all values within the set of $m_k$. \\\\\nFor example, if $S = \\{1, 2, 4\\}$. \\\\\n$\\displaystyle\\sum_{k \\in S} f(k) = f(1) + f(2) + f(4)$",
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"author_name": "TeXit",
"timestamp": "06/23/2022 07:25:00",
"content": "**kelvinchan9786**",
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"author_id": 683299579307098100,
"author_name": "kelvinchan9786",
"timestamp": "06/23/2022 07:25:10",
"content": "@carlo",
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 08:07:53",
"content": "Channel closed",
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}
] |
help-9
|
2ea12d12d39e47aca4ca45351e6db5d1
|
196,782 |
[
{
"id": 958070007445725300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 14:28:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 958073418991927300,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 14:41:43",
"content": "what volume in ml of a 60% hydrochloric acid solution must be added to 100ml of a 30% hydrochloric acid solution to make a 36% hydrochloric acid solution",
"attachments": [],
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},
{
"id": 958073420980056000,
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"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 14:41:43",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 958074754143768600,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:47:01",
"content": "Your solution starts out at 100ml, and you are adding some amount, say x, to it. The amount of HCl in the solution starts out at 30 (30% of 100), and you are adding 0.6*x to it (x is 60% HCl). You want the final HCl amount to be 36% of the final volume.",
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"id": 958074820506050700,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:47:17",
"content": "Can you see how you can proceed from here with algebra to find the solution?",
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},
{
"id": 958074903112867800,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 14:47:37",
"content": "no im still confused",
"attachments": [],
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},
{
"id": 958075284110864400,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:49:07",
"content": "we've wound up with a solution of 100 + x, because we've added some amount x to the 100ml. This is a useful way of setting it out because we want to know how much we should add - we want to find x. This solution now has the original 30ml HCl, plus 60% of x: 30 + 0.6x. So we want to find the number x so that 30 + 0.6x is 36% of 100 + x.",
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},
{
"id": 958076160309354500,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 14:52:36",
"content": "IM STILL CONFUSED",
"attachments": [],
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"reference": null
},
{
"id": 958076176331599900,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 14:52:40",
"content": "caps",
"attachments": [],
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},
{
"id": 958076289145782300,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:53:07",
"content": "do you get why i've set up the algebra the way i have?",
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},
{
"id": 958076364584530000,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:53:25",
"content": "thats the key skill here - setting up the equation you need to solve",
"attachments": [],
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},
{
"id": 958076944010846200,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 14:55:43",
"content": "i just dont get how youre wording it",
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},
{
"id": 958077080216686600,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:56:16",
"content": "we want to know how much to add to the solution. i've called this amount x.",
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},
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"id": 958077115230736500,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:56:24",
"content": "if we add x to 100ml, we have 100+x ml",
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},
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"id": 958077286811304100,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 14:57:05",
"content": "we start with 30ml HCl, and then we add xml of 60% HCl, so we've added 0.6x ml of HCl: 30 + 0.6x",
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"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 15:10:43",
"content": "@LeesAlphagetti Has your question been resolved?",
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"id": 958081450522083300,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:13:38",
"content": "36% of the final solution is HCl. As algebra: 0.36*(100+x) = 30 + 0.6x",
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},
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"id": 958081473179689000,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:13:43",
"content": "can you solve this?",
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},
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"id": 958081853800185900,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 15:15:14",
"content": "no",
"attachments": [],
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},
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"id": 958081950315331600,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:15:37",
"content": "thats not very descriptive",
"attachments": [],
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},
{
"id": 958081977725108400,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:15:43",
"content": "i don't like the brackets on the left",
"attachments": [],
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},
{
"id": 958081998117814300,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:15:48",
"content": "could you expand them?",
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},
{
"id": 958082222475342000,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 15:16:42",
"content": "i really cant im so confuseed",
"attachments": [],
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},
{
"id": 958082361470386200,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:17:15",
"content": "0.36 times 100 + x is the same as 0.36 times 100 plus 0.36 times x",
"attachments": [],
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},
{
"id": 958082486448033900,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:17:45",
"content": "so 0.36*(100+x) = 0.36\\*100 + 0.36\\*x",
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},
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"id": 958082550553780200,
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"author_name": "rzrshr",
"timestamp": "03/28/2022 15:18:00",
"content": "but 0.36*100 is 36",
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},
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"id": 958082629633196000,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:18:19",
"content": "so now you have 36 + 0.36x = 30 + 0.6x",
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},
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"id": 958082654744510500,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:18:25",
"content": "any ideas now?",
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},
{
"id": 958085761612263600,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 15:30:45",
"content": "all im getting is .24 = 6",
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},
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"id": 958085793556082800,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 15:30:53",
"content": ".6x",
"attachments": [],
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},
{
"id": 958085873570836500,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:31:12",
"content": "do you mean .24x = 6?",
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},
{
"id": 958085954277634000,
"author_id": 730912502552068100,
"author_name": "LeesAlphagetti",
"timestamp": "03/28/2022 15:31:31",
"content": "yeah",
"attachments": [],
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},
{
"id": 958086058543824900,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:31:56",
"content": "how do you get rid of the 0.24 to just leave x = ...?",
"attachments": [],
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},
{
"id": 958089885598757000,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:47:09",
"content": "||divide both sides by 0.24||",
"attachments": [],
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},
{
"id": 958089951998791700,
"author_id": 398505642492428300,
"author_name": "rzrshr",
"timestamp": "03/28/2022 15:47:25",
"content": "||then x = 6/0.24 = 25||",
"attachments": [],
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},
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"id": 958093505144692700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 16:01:32",
"content": "@LeesAlphagetti Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 16:31:32",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
9fd787c6a99d494b927e6f021ec77b63
|
196,783 |
[
{
"id": 989516933000990800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 09:07:01",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 989518642704166900,
"author_id": 438165278497701900,
"author_name": "gabeveks",
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"timestamp": "06/23/2022 09:13:49",
"content": "Pinned a message.",
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"messageId": 989518642704166900,
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{
"id": 989518726917419000,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:14:08",
"content": "1/c\n2/b\n3/c\n4/d\n5/c",
"attachments": [],
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},
{
"id": 989518743606530000,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:14:12",
"content": "is that correct",
"attachments": [],
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},
{
"id": 989518832165077000,
"author_id": 282437916431482880,
"author_name": "𝓐𝓡𝓘𝓔𝓛",
"timestamp": "06/23/2022 09:14:33",
"content": "1 isn't d",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989519144636526600,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:15:48",
"content": "?",
"attachments": [],
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},
{
"id": 989519191570808800,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:15:59",
"content": "how is that?",
"attachments": [],
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},
{
"id": 989519291877576700,
"author_id": 282437916431482880,
"author_name": "𝓐𝓡𝓘𝓔𝓛",
"timestamp": "06/23/2022 09:16:23",
"content": "Draw the unit circle and see where the intersections with the axis are",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989519613253517300,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:17:40",
"content": "oh its c you are right",
"attachments": [],
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},
{
"id": 989519616114036700,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:17:40",
"content": "my bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989520121024348200,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:19:41",
"content": "what about for the others",
"attachments": [],
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},
{
"id": 989520128662196200,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:19:43",
"content": "are they right?",
"attachments": [],
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},
{
"id": 989521450127990800,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:24:58",
"content": "k",
"attachments": [],
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"reference": null
},
{
"id": 989522993107578900,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:31:06",
"content": ".close",
"attachments": [],
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},
{
"id": 989522994672070700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 09:31:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
3542e05b0a1a40e188333b693b975d44
|
196,784 |
[
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"id": 989523030021669000,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:31:14",
"content": "no",
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},
{
"id": 989523248955920400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 09:32:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989527203932958700,
"author_id": 438165278497701900,
"author_name": "gabeveks",
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"id": 989527206025896000,
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 09:47:50",
"content": "Pinned a message.",
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{
"id": 989527410208829400,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:48:39",
"content": "1/c\n2/b \n3/c\n4/d\n5/c",
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},
{
"id": 989527577347649500,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:49:18",
"content": "right or wrong",
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"reference": null
},
{
"id": 989527875432624100,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "06/23/2022 09:50:30",
"content": "is this some sort of test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989528124075151400,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:51:29",
"content": "wdym",
"attachments": [],
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"reference": null
},
{
"id": 989528170170577000,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:51:40",
"content": "like test for you guys?",
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},
{
"id": 989528492582506500,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:52:57",
"content": "listen im just trying to solve these questions",
"attachments": [],
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},
{
"id": 989528514342580400,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:53:02",
"content": "its not hard to just say if im right or wrong",
"attachments": [],
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},
{
"id": 989528521179275400,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:53:04",
"content": "thats all i want",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989528587336044500,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:53:19",
"content": "and its summer 😆",
"attachments": [],
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"reference": null
},
{
"id": 989528654340030500,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "06/23/2022 09:53:35",
"content": "what he meant is that you arent allowed to use this discord as a way of cheating he just wants to make sure",
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},
{
"id": 989528722531025000,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:53:52",
"content": "I understand that",
"attachments": [],
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},
{
"id": 989528849505218700,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:54:22",
"content": "but sometimes people help and sometimes people dont",
"attachments": [],
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},
{
"id": 989528893545410600,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:54:32",
"content": "unfortunately it depends on the day",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989528899740389500,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:54:34",
"content": "and the person",
"attachments": [],
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},
{
"id": 989529119287025700,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "06/23/2022 09:55:26",
"content": "yeah it seems reasonable - though yeah I do get pretty suspicious when it's just verifying answers",
"attachments": [],
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},
{
"id": 989529183929638900,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:55:42",
"content": "I get that",
"attachments": [],
"mentions": [],
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},
{
"id": 989530021423087600,
"author_id": 438165278497701900,
"author_name": "gabeveks",
"timestamp": "06/23/2022 09:59:01",
"content": ".close",
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},
{
"id": 989530023222444000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 09:59:02",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
15935599ec88433597e16f651934e53b
|
196,785 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 10:00:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989538063430606800,
"author_id": 385462512272932860,
"author_name": "Nemanja",
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"content": "Pinned a message.",
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"id": 989538108401938400,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:31:09",
"content": "find the value of the real parameter",
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"id": 989538407153799200,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:32:21",
"content": "for which this is a real number",
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},
{
"id": 989539083204309000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/23/2022 10:35:02",
"content": "have you already made this into a fraction with real denominator?",
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},
{
"id": 989539721443160000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:37:34",
"content": "by multiplying both sides",
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},
{
"id": 989539825080209400,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:37:59",
"content": "with 1+yi",
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},
{
"id": 989539921435959300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/23/2022 10:38:22",
"content": "1+ lambda*i. there is no y",
"attachments": [],
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},
{
"id": 989539934832590800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/23/2022 10:38:25",
"content": "but yes that's what i meant",
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},
{
"id": 989540031469342700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:38:48",
"content": "i know",
"attachments": [],
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},
{
"id": 989540119692324900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/23/2022 10:39:09",
"content": "yeah so have you done it",
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"id": 989540202483691500,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:39:29",
"content": "and what now",
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"id": 989541153462423600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 10:43:15",
"content": "what did you get after multiplying both sides, just curious",
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"id": 989542632818630700,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:49:08",
"content": "even so your expansion is wrong, note that -sqrt(3)i * lambda*i is not -sqrt(3)",
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"author_name": "Nemanja",
"timestamp": "06/23/2022 10:50:29",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/989542973282857030/unknown.png",
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"id": 989543127842975700,
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"author_name": "waler",
"timestamp": "06/23/2022 10:51:06",
"content": "right that's better",
"attachments": [],
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},
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"id": 989543257551818800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:51:37",
"content": "now for that to be a real number, what condition does z have to satisfy?",
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"id": 989543357552394200,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:52:01",
"content": "(also try to write the number 1 as clearly as you can before it turns into a 7)",
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},
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"id": 989543961393791000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:54:25",
"content": "this must not be the root",
"attachments": [
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"id": 989544024010522600,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:54:40",
"content": "the root of?",
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"id": 989544274653769700,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:55:39",
"content": "are you trying to say the denominator must not be 0?",
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},
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"id": 989544416085684200,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:56:13",
"content": "0 or √-something",
"attachments": [],
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},
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"id": 989544453045903500,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:56:22",
"content": "no",
"attachments": [],
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},
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"id": 989544549263212500,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:56:45",
"content": "firstly, here lambda is real, hence 1+lambda^2 is never 0",
"attachments": [],
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},
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"id": 989544604716110000,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:56:58",
"content": "secondly, even if 1+lambda^2 is 0, z is just undefined",
"attachments": [],
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},
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"id": 989544675834736600,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:57:15",
"content": "if 1+lambda^2 is not 0, z is any complex number",
"attachments": [],
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},
{
"id": 989544735679086700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:57:29",
"content": "but what i must find?",
"attachments": [],
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},
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"id": 989544745808310300,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:57:32",
"content": "not a very good restriction",
"attachments": [],
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},
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"id": 989544769078317000,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:57:37",
"content": "try to think it like this",
"attachments": [],
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},
{
"id": 989544865580863500,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:58:00",
"content": "how are real numbers defined?",
"attachments": [],
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},
{
"id": 989544928835145700,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:58:15",
"content": "try to compare it to imaginary numbers and complex numbers",
"attachments": [],
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},
{
"id": 989544989656760300,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 10:58:30",
"content": "what do they differ in?",
"attachments": [],
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},
{
"id": 989545293664108500,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 10:59:42",
"content": "complex number have real and imaginary components",
"attachments": [],
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"reference": null
},
{
"id": 989545477806653400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:00:26",
"content": "yes",
"attachments": [],
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},
{
"id": 989545484286832600,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:00:28",
"content": "imaginary is number next to i",
"attachments": [],
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},
{
"id": 989545582769086500,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:00:51",
"content": "well that's almost accurate",
"attachments": [],
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},
{
"id": 989545710154309600,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:01:22",
"content": "a better way to define imaginary numbers is numbers that have real component equal to 0",
"attachments": [],
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},
{
"id": 989545801023905800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:01:43",
"content": "and complex number have real and imaginary components equal to any real numbers",
"attachments": [],
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"reference": null
},
{
"id": 989545871584669700,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:02:00",
"content": "so by that logic, how would you define a real number?",
"attachments": [],
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},
{
"id": 989546462151077900,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:04:21",
"content": "i don't know",
"attachments": [],
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},
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"id": 989546566165606400,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:04:46",
"content": "number without imaginary component",
"attachments": [],
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},
{
"id": 989546597815812100,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:04:53",
"content": "maybe",
"attachments": [],
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},
{
"id": 989546950846201900,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:06:17",
"content": "sure",
"attachments": [],
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},
{
"id": 989546991430279200,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "06/23/2022 11:06:27",
"content": "or, their imaginary component is equal to 0",
"attachments": [],
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"reference": null
},
{
"id": 989547320955777200,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:07:46",
"content": "this must be 0",
"attachments": [],
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},
{
"id": 989547327721181200,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:07:47",
"content": "",
"attachments": [
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"id": 989547346255827000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:07:52",
"content": "ok",
"attachments": [],
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},
{
"id": 989547423699439700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:08:10",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989547850272768000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/23/2022 11:09:52",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989547852231483400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 11:09:52",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
bce7392d93aa4d68b890946d5e9fbdce
|
196,786 |
[
{
"id": 989548106431471600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 11:10:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989553157866676200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:30:57",
"content": "Hey",
"attachments": [],
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"reference": null
},
{
"id": 989553159976415200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 11:30:58",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
},
{
"id": 989553221561385000,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:31:13",
"content": "“Suppose that I have 6 different books, 2 of which are math books. In how many ways can I sta\nmy 6 books on a shelf if I want a math book on both ends of the stack?”",
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},
{
"id": 989553442915762200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:32:05",
"content": "My answer was 48 \n\nWork\n2 ways to stack math books\n4! ways to stack remaining books\n4!*2=48",
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},
{
"id": 989553479339085800,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:32:14",
"content": "Does this look right?",
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},
{
"id": 989553570632306700,
"author_id": 693712528802316300,
"author_name": "KD",
"timestamp": "06/23/2022 11:32:36",
"content": "Yes",
"attachments": [],
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},
{
"id": 989554138213941200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:34:51",
"content": "I had another question, would it be better to ask it in here? Or to close this and make a new help room?",
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},
{
"id": 989554396843085800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:35:53",
"content": "just ask here",
"attachments": [],
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},
{
"id": 989554539415875600,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:36:27",
"content": "“8 sprinters, 3 medals, how many ways can medals be awarded?”\n\n“15 club members, 4 office positions, how many ways if no member can hold more than one office?”",
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},
{
"id": 989554737294758000,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:37:14",
"content": "My answers \n336 (8x7x6)\n\n32,760 (15x14x13x12)",
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},
{
"id": 989554791464190000,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:37:27",
"content": "They’re basically the same question I just want to make sure this is the correct way to solve it",
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},
{
"id": 989554919533051900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:37:57",
"content": "are the medal distinguishable?",
"attachments": [],
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},
{
"id": 989555208197652500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:39:06",
"content": "I was paraphrasing, the actual wording says only one medal per person",
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},
{
"id": 989555327953412100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:39:35",
"content": "i mean like... are the medals identical",
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},
{
"id": 989555375026081800,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:39:46",
"content": "Oh sorry, no",
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},
{
"id": 989555429518495900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:39:59",
"content": "oh ok i think you're correct for the first question",
"attachments": [],
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},
{
"id": 989555540554285000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:40:25",
"content": "what about the office position?",
"attachments": [],
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},
{
"id": 989555649367121900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:40:51",
"content": "cuz if it's undistinguishable, you have a different formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989555767050928100,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:41:19",
"content": "“My club has 15 members. In how many ways can we choose a president, vice-president, secretary and treasurer, if no member can hold more than one office?”",
"attachments": [],
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},
{
"id": 989556001533472800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:42:15",
"content": "your answer is correct then",
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},
{
"id": 989556280760869000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:43:22",
"content": "if it's identical, you need to use this formula $\\frac{n!}{k!(n-k)!}$",
"attachments": [],
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"reference": null
},
{
"id": 989556293066956900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 11:43:25",
"content": "**MarveI**",
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},
{
"id": 989556343960641500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:43:37",
"content": "it's called N choose K scenario",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989556856265535500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:45:39",
"content": "Applying this to the second problem n=# of group members and k=# of positions?",
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},
{
"id": 989557061538947100,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:46:28",
"content": "$\\frac{15!}{4!(15-4)!}$",
"attachments": [],
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"reference": null
},
{
"id": 989557113762230400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 11:46:41",
"content": "**dopediscorduser**",
"attachments": [
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},
{
"id": 989557462107578500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:48:04",
"content": ",w $\\frac{15!}{4!(15-4)!}$",
"attachments": [],
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},
{
"id": 989557472958234600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 11:48:06",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 989557482877767700,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:48:09",
"content": "Would this be my solution?",
"attachments": [],
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},
{
"id": 989558054926295000,
"author_id": 239666194003656700,
"author_name": "JC Denton",
"timestamp": "06/23/2022 11:50:25",
"content": "how many people can be president? 15, how many people can be vp then? 14, how many people can be secretary? 13, how many people can be treasurer? 12",
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{
"id": 989558070134865900,
"author_id": 239666194003656700,
"author_name": "JC Denton",
"timestamp": "06/23/2022 11:50:29",
"content": "instead of using formulas",
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},
{
"id": 989558076946407400,
"author_id": 239666194003656700,
"author_name": "JC Denton",
"timestamp": "06/23/2022 11:50:30",
"content": "use your logic",
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"id": 989558332392104100,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:51:31",
"content": "15x4\n14x3\n13x2\n12x1\n\n60+39+26+12\n137",
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"timestamp": "06/23/2022 11:51:33",
"content": "?",
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"content": "why would you add the possilities",
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"timestamp": "06/23/2022 11:52:10",
"content": "also why did you do 15 x 4, 14 x 3, 13 x2 and 12 x 1",
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"timestamp": "06/23/2022 11:52:32",
"content": "I was multiplying the # of members by # of positions",
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"timestamp": "06/23/2022 11:52:58",
"content": "your original answer is correct @dopediscorduser",
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"timestamp": "06/23/2022 11:52:59",
"content": "ithink",
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"author_name": "JC Denton",
"timestamp": "06/23/2022 11:53:03",
"content": "so youre saying there are 15 people in the 4 positions?",
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"timestamp": "06/23/2022 11:53:03",
"content": "Oh",
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"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:53:13",
"content": "Yeah I see what you’re saying",
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"author_name": "JC Denton",
"timestamp": "06/23/2022 11:53:15",
"content": "how?",
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"author_name": "MarveI",
"timestamp": "06/23/2022 11:53:27",
"content": "wait is it not 15x14x13x12?",
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"timestamp": "06/23/2022 11:53:31",
"content": "ok nvm @dopediscorduser",
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"timestamp": "06/23/2022 11:53:41",
"content": "I think this is what they concluded on",
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"timestamp": "06/23/2022 11:53:54",
"content": "which is 15!/((11!)(4!))",
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"timestamp": "06/23/2022 11:53:55",
"content": "this is what they first concluded",
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"content": "oh",
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"timestamp": "06/23/2022 11:54:05",
"content": "my bad then",
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"timestamp": "06/23/2022 11:54:07",
"content": "if thats true",
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"timestamp": "06/23/2022 11:54:09",
"content": "i think he misunderstood my message",
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"author_name": "JC Denton",
"timestamp": "06/23/2022 11:54:11",
"content": "@dopediscorduser ?",
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"author_name": "MarveI",
"timestamp": "06/23/2022 11:54:16",
"content": "i was saying \"if\" it's identical*",
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"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:58:19",
"content": "Okay so the first answer I had was correct?",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:58:26",
"content": "yeah",
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},
{
"id": 989560118209306800,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 11:58:37",
"content": "What is this formula then?",
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"id": 989560160190103600,
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"author_name": "MarveI",
"timestamp": "06/23/2022 11:58:47",
"content": "for example:",
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},
{
"id": 989560203429150800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:58:57",
"content": "you wanna arrange 3 \"identical\" balls inside 8 boxes",
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},
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"id": 989560266318557200,
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"author_name": "MarveI",
"timestamp": "06/23/2022 11:59:12",
"content": "n = 8, k = 3",
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},
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"id": 989560333096075300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/23/2022 11:59:28",
"content": "i'm just giving extra information for other scenarios",
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"author_name": "JC Denton",
"timestamp": "06/23/2022 12:00:21",
"content": "awesome explanation",
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},
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"id": 989561422541365400,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 12:03:48",
"content": "Okay gotcha",
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},
{
"id": 989561431680749600,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "06/23/2022 12:03:50",
"content": "Thanks everyone",
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},
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"author_name": "dopediscorduser",
"timestamp": "06/23/2022 12:03:54",
"content": ".close",
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},
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"id": 989561451209441300,
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 12:03:55",
"content": "Channel closed",
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}
] |
help-9
|
3823977fb6514b6b963e7ba2360eff6e
|
196,787 |
[
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"content": "epicness",
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"id": 989561470981382100,
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"timestamp": "06/23/2022 12:03:59",
"content": "glad to help :)",
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"content": "Available help channel!",
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},
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"id": 989574832150675500,
"author_id": 298584963366912000,
"author_name": "rubberrubby123",
"timestamp": "06/23/2022 12:57:05",
"content": "hey so i have a question graphing limits - it's a relatively new topic to me so i just wanted to know where to start when graphing a function that has to follow given criteria and if there is/are any rule of thumb(s)",
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"content": "Pinned a message.",
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"timestamp": "06/23/2022 13:12:05",
"content": "@rubberrubby123 Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
8a02c58835224b849316e97a88301ab2
|
196,788 |
[
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"id": 989583163087020000,
"author_id": 298584963366912000,
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"timestamp": "06/23/2022 13:30:11",
"content": ".reopen",
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"timestamp": "06/23/2022 13:30:13",
"content": "✅",
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"id": 989583199984291800,
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"content": "@Helpers",
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"id": 989583776432668800,
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"author_name": "riemann",
"timestamp": "06/23/2022 13:32:37",
"content": "you just need to plot a function that satisfies all the criteria",
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"content": "do it one at a time",
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"timestamp": "06/23/2022 13:33:03",
"content": "okay let me see",
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"timestamp": "06/23/2022 13:36:34",
"content": "not the easiest thing in the world to draw on ms paint lmao",
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"timestamp": "06/23/2022 13:36:36",
"content": "what do you think",
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"timestamp": "06/23/2022 13:39:39",
"content": "this one for b",
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"content": "@rubberrubby123 Has your question been resolved?",
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"content": "whatever",
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"timestamp": "06/23/2022 14:18:13",
"content": ".close",
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},
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"id": 989595251524137000,
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"timestamp": "06/23/2022 14:18:13",
"content": "Channel closed",
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}
] |
help-9
|
e939c62ab4884ad1a2da1790e0a59bf1
|
196,789 |
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"content": "Available help channel!",
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},
{
"id": 989596882370166800,
"author_id": 592366991470231600,
"author_name": "zezo sambista",
"timestamp": "06/23/2022 14:24:42",
"content": "What is the result of this?",
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"content": "Pinned a message.",
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"timestamp": "06/23/2022 14:32:25",
"content": "What have you tried so far?",
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"content": ".close",
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{
"id": 989599896191512700,
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"content": "Channel closed",
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}
] |
help-9
|
1799bb2d086141b2b94e4dce22e12a92
|
196,790 |
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"content": "Available help channel!",
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},
{
"id": 989601717882605600,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "06/23/2022 14:43:55",
"content": "im still stuck on this, I need to solve for y",
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"content": "Pinned a message.",
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"id": 989604698099183600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/23/2022 14:55:45",
"content": "solve different intervals of y separately",
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{
"id": 989604797189611500,
"author_id": 261933205387477000,
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"timestamp": "06/23/2022 14:56:09",
"content": "|y| < 1 gives you one expression, and |y| > 1 gives you another expression",
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"timestamp": "06/23/2022 14:56:35",
"content": "okay imma try",
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"timestamp": "06/23/2022 15:11:36",
"content": "@Eichhorst Has your question been resolved?",
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help-9
|
644a1dd4e5e645559a85468b3f2b7129
|
196,791 |
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"content": "@Pogram Has your question been resolved?",
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help-9
|
b1e45e431c24414b9eb43c6c9f1b2788
|
196,792 |
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help-9
|
5f9fdf82bd46464a97d90d205915413b
|
196,793 |
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{
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"id": 958109604603105300,
"author_id": 852607481409437800,
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"content": "how would you express tan^2x in terms of sinx",
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"content": "tan^2x = 1/cot^2x = 1/csc^2x-1",
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"content": "cot ? why ?",
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"content": "tan x = sin x / cos x",
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"content": "^",
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"id": 958110252656631900,
"author_id": 852607481409437800,
"author_name": "zmat",
"timestamp": "03/28/2022 17:08:05",
"content": "but i need it in terms of sin",
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"id": 958110257844981800,
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"author_name": "zmat",
"timestamp": "03/28/2022 17:08:06",
"content": "and sin only",
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"id": 958110289981734900,
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"author_name": "Remavas",
"timestamp": "03/28/2022 17:08:13",
"content": "Try using that",
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"id": 958110318524002300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/28/2022 17:08:20",
"content": "and then you will see something",
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"author_name": "Remavas",
"timestamp": "03/28/2022 17:08:34",
"content": "Given this, what is tan^2 x",
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"timestamp": "03/28/2022 17:08:45",
"content": "sin^2x/cos^2x",
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"id": 958110518047035400,
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"author_name": "Remavas",
"timestamp": "03/28/2022 17:09:08",
"content": "Is there some kind of awesome identity that links together some squares of trigonometric functions?",
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"id": 958110557087621200,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/28/2022 17:09:17",
"content": "If there were, it would really help here.",
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"id": 958110583436230800,
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"author_name": "zmat",
"timestamp": "03/28/2022 17:09:23",
"content": "sin^2x+cos^2x=1",
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"id": 958110630081081300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/28/2022 17:09:35",
"content": "well there you go",
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"id": 958110719646261200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:09:56",
"content": "convert this to sin(2x)/cos(2x) and use your double angle identity",
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"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:03",
"content": "Oh wait",
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"id": 958110752168874000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:04",
"content": "I'm dumb",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:05",
"content": "Fuck",
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"id": 958110784049807400,
"author_id": 852607481409437800,
"author_name": "zmat",
"timestamp": "03/28/2022 17:10:11",
"content": "what's double angle identity",
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"id": 958110796704006100,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/28/2022 17:10:14",
"content": "Why do it the easy way, if you can do it the hard way",
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"id": 958110811786719200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:18",
"content": "sin^2(x)/cos^2(x)",
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"id": 958110872318906400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:32",
"content": "**dont** do double angle identity I read your problem incorrectly",
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"id": 958110886395011100,
"author_id": 852607481409437800,
"author_name": "zmat",
"timestamp": "03/28/2022 17:10:36",
"content": "what would i do from here",
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"id": 958110909044232300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/28/2022 17:10:41",
"content": "this",
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"author_name": "Umbraleviathan",
"timestamp": "03/28/2022 17:10:43",
"content": "Change cos^2(x)",
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"timestamp": "03/28/2022 17:10:55",
"content": "how would i go from my thing to this",
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"timestamp": "03/28/2022 17:11:06",
"content": "No, use the Pythagorean identity",
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"id": 958111075994312700,
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"timestamp": "03/28/2022 17:11:21",
"content": "oh",
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"author_name": "zmat",
"timestamp": "03/28/2022 17:11:22",
"content": "nvm",
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"id": 958111111801077900,
"author_id": 852607481409437800,
"author_name": "zmat",
"timestamp": "03/28/2022 17:11:29",
"content": "sin^2=cos^2-1",
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"id": 958111116960079900,
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"author_name": "zmat",
"timestamp": "03/28/2022 17:11:31",
"content": "ty",
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"id": 958111154155167900,
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"author_name": "Remavas",
"timestamp": "03/28/2022 17:11:39",
"content": "are you sure",
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"id": 958111184459010000,
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"author_name": "zmat",
"timestamp": "03/28/2022 17:11:47",
"content": "meant the other way around",
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"id": 958111233343623200,
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"timestamp": "03/28/2022 17:11:58",
"content": "$\\sin^2 x = 1 - \\cos^2 x$",
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"id": 958111242436902900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/28/2022 17:12:01",
"content": "**Remavas**",
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"timestamp": "03/28/2022 17:12:13",
"content": "yea",
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"id": 958111303686308000,
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"content": "i meant the other way around",
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"timestamp": "03/28/2022 17:12:19",
"content": "switch sin and cos",
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"timestamp": "03/28/2022 17:12:40",
"content": "Ben may be a very controversial dog but he can do trigonometry",
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"timestamp": "03/28/2022 17:12:50",
"content": "hohoho",
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"content": "What would we do without trigonometry",
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"timestamp": "03/28/2022 17:15:53",
"content": "#❓how-to-get-help",
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"content": "@zmat Has your question been resolved?",
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help-9
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df8efd72a43943f492cee57dbce427ae
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196,794 |
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"timestamp": "06/23/2022 20:34:22",
"content": "Prove that if n is a positive integer, then n^2 + n -1/n^2 + 2n is an irreducible (simplified) fraction.",
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"id": 989691387828109400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "06/23/2022 20:40:14",
"content": "For the first case its because n-1 is always coprime with n\nFor the second, when rearranged you get (n^2-1)/n^3 which can be factored into (n+1)(n-1)/n^3 which is unsimplifiable because n+1 and n-1are bith coprime to n",
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"id": 989691402873098400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "06/23/2022 20:40:18",
"content": "Oh",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "06/23/2022 20:41:13",
"content": "I have no clue then sorry",
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{
"id": 989692029900578800,
"author_id": 463779642936000500,
"author_name": "el de 15 años",
"timestamp": "06/23/2022 20:42:47",
"content": "Oh thats ok",
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},
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"id": 989692118962430000,
"author_id": 463779642936000500,
"author_name": "el de 15 años",
"timestamp": "06/23/2022 20:43:08",
"content": "I Tried just substituting several integers for n(2, 3, 4, 5, 8) and it's indeed irreducible, but my teacher told me that's not a proof, so let's see lol",
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},
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"id": 989692147479478300,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:43:15",
"content": "Id say its that 1",
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},
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"id": 989692188390736000,
"author_id": 463779642936000500,
"author_name": "el de 15 años",
"timestamp": "06/23/2022 20:43:25",
"content": "?",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:43:45",
"content": "$$\\frac{n^2 + n - 1}{n^2 + 2n}$$",
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"id": 989692285375631500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 20:43:48",
"content": "**Pluton**",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "06/23/2022 20:43:59",
"content": "Ah yes the classic Proof by Assumption",
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"id": 989692457925107700,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:44:29",
"content": "If a fraction is reducilble then numerator should divide at least 1 factor of denominator",
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},
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"id": 989692557560782800,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:44:53",
"content": "But that -1 doesnt divide n",
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"id": 989692654818320400,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:45:16",
"content": "Therefore also any other numbers that n divides",
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},
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"id": 989692903620227100,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:46:15",
"content": "But wait thats not really a good proof or a valid one",
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},
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"id": 989692984146665500,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:46:35",
"content": "Maybe write it like",
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},
{
"id": 989693123955425300,
"author_id": 191148988089630720,
"author_name": "Twentycents",
"timestamp": "06/23/2022 20:47:08",
"content": "If I may, you can just find the roots of both numerator and denominator. If they don't have any in common, then it's irreductible",
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},
{
"id": 989693352410755100,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "06/23/2022 20:48:02",
"content": ",w n^2 + n - 1 = 0",
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},
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"id": 989693362565165000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 20:48:05",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 989693435386679300,
"author_id": 191148988089630720,
"author_name": "Twentycents",
"timestamp": "06/23/2022 20:48:22",
"content": "Yeah it's golden ratio so not an integer",
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},
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"id": 989693687015538700,
"author_id": 191148988089630720,
"author_name": "Twentycents",
"timestamp": "06/23/2022 20:49:22",
"content": "I'd have searched for the denominator's roots though ^^ because they are more simple. \nAnyways all there is to check now is that the roots of the numerator are not roots of the denominator (or the inverse)",
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"timestamp": "06/23/2022 20:49:45",
"content": "@el de 15 años is it clear ?",
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"timestamp": "06/23/2022 20:49:52",
"content": "Yeah",
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},
{
"id": 989694138658226300,
"author_id": 463779642936000500,
"author_name": "el de 15 años",
"timestamp": "06/23/2022 20:51:10",
"content": ".close",
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},
{
"id": 989694140247867400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 20:51:10",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
0f208ec27e9b4a998f9656c294c88a23
|
196,795 |
[
{
"id": 989694393223086100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 20:52:10",
"content": "Available help channel!",
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},
{
"id": 989695670225109000,
"author_id": 331628693640314900,
"author_name": "pinion pinape",
"timestamp": "06/23/2022 20:57:15",
"content": "https://gyazo.com/c77a881b2791b206ba8ee794fd94173c",
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"content": "Pinned a message.",
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"author_id": 331628693640314900,
"author_name": "pinion pinape",
"timestamp": "06/23/2022 20:57:43",
"content": "why is he multipling the conjugate to 3sqrty^1 and not 3sqrty^2",
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"id": 989699564552478700,
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"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 21:12:43",
"content": "@pinion pinape Has your question been resolved?",
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"timestamp": "06/23/2022 21:27:44",
"content": "Channel closed",
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}
] |
help-9
|
7cfcdba2fe3d4746ad8e6aede917716f
|
196,796 |
[
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"id": 989703379259392100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/23/2022 21:27:53",
"content": "It's a little hard to read but I think it's y not y^2",
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"timestamp": "06/23/2022 22:00:35",
"content": "Available help channel!",
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},
{
"id": 989713062477045800,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/23/2022 22:06:22",
"content": "Why is the equation x=sect and y=cost undefined from -1<x<1?",
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},
{
"id": 989713065010405400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/23/2022 22:06:22",
"content": "Pinned a message.",
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{
"id": 989713330845384700,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/23/2022 22:07:26",
"content": "The only problem I see in the equation is when sec(t) has t = multiple of pi/2, but this wouldn't affect areas of the graph such as t = 0",
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},
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"id": 989713394263269400,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/23/2022 22:07:41",
"content": "but when I plug it into desmos the graph cuts off from -1 to 1",
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},
{
"id": 989713614330024000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "06/23/2022 22:08:33",
"content": ",w graph sec(x)",
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},
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"id": 989713623452647400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/23/2022 22:08:35",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 989713906060656600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/23/2022 22:09:43",
"content": "|cos x| <= 1",
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},
{
"id": 989714122134421500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "06/23/2022 22:10:34",
"content": "Oh like (-1, 1) isn't included in the range",
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},
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"id": 989714222223089700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "06/23/2022 22:10:58",
"content": "Consider the range of cos(x), and use that to work out the range of sec(x)",
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},
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"id": 989714362434482200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "06/23/2022 22:11:32",
"content": "Or backwards. Let's say sec(x) = 1/2. What's cos(x)?",
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"timestamp": "06/23/2022 22:22:41",
"content": "@ggonick Has your question been resolved?",
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"timestamp": "06/23/2022 22:37:41",
"content": "Channel closed",
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}
] |
help-9
|
11bef465a2ce4c57b10d35fca26715da
|
196,797 |
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"timestamp": "06/23/2022 23:37:32",
"content": "Available help channel!",
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{
"id": 989741012429701100,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/23/2022 23:57:25",
"content": "How do I find the derivative of the parametric curve x=t^3+2 and y=2t+1? I calculated y'/x' and got 2/3t^2, I then plugged in 1 for t and got 2/3(1)^2 which is 2/3 or 0.6666. However this was marked wrong and i'm struggling to find where I went wrong",
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"timestamp": "06/23/2022 23:57:26",
"content": "Pinned a message.",
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{
"id": 989741342852804600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/23/2022 23:58:44",
"content": "show problem statement",
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},
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"id": 989741502328610800,
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"author_name": "ggonick",
"timestamp": "06/23/2022 23:59:22",
"content": "",
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"id": 989741714010939500,
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"author_name": "Ann",
"timestamp": "06/24/2022 00:00:13",
"content": "0.666**7** perhaps?",
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},
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"id": 989741761633079300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 00:00:24",
"content": "given that you were told to round to four decimal places, that's what 2/3 rounds to.",
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"id": 989741791576207500,
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"timestamp": "06/24/2022 00:00:31",
"content": "ohhh I see",
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"id": 989741795237822600,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/24/2022 00:00:32",
"content": "darn",
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},
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"id": 989741818503647200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 00:00:38",
"content": "did that get accepted",
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},
{
"id": 989741853563813900,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/24/2022 00:00:46",
"content": "i can't resubmit",
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"id": 989741874665357300,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "06/24/2022 00:00:51",
"content": "but I wanted to make sure there wasn't an error in my logic",
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"id": 989741875072233600,
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"content": "ah",
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"id": 989741913496244200,
"author_id": 183668144404037630,
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"timestamp": "06/24/2022 00:01:00",
"content": "your logic was fine",
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"id": 989741935759609900,
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"timestamp": "06/24/2022 00:01:06",
"content": "ok great, thank you!",
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},
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"id": 989742025102491600,
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"timestamp": "06/24/2022 00:01:27",
"content": ".close",
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},
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"timestamp": "06/24/2022 00:01:27",
"content": "Channel closed",
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}
] |
help-9
|
d4181cbf72734a9daaa8a4ac648c7545
|
196,798 |
[
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"id": 989746284669849700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "06/24/2022 00:18:22",
"content": "I wanted help with this question",
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"timestamp": "06/24/2022 00:18:23",
"content": "Pinned a message.",
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"author_id": 819818586965016600,
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"timestamp": "06/24/2022 00:18:54",
"content": "So I’m still missing two angles here",
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"timestamp": "06/24/2022 00:20:10",
"content": "You are missing the other value between 0 and 360 that equals 1/2",
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"author_name": "Jun♾",
"timestamp": "06/24/2022 00:20:15",
"content": "Would one of the angle be 720-60? And if so then why?",
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},
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"timestamp": "06/24/2022 00:20:24",
"content": "Oh",
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},
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"author_name": "Jun♾",
"timestamp": "06/24/2022 00:20:54",
"content": "360-60?",
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"author_name": "GarlicBredFries",
"timestamp": "06/24/2022 00:21:02",
"content": "Yup!",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "06/24/2022 00:21:06",
"content": "You got to it before me",
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},
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"author_name": "Jun♾",
"timestamp": "06/24/2022 00:22:28",
"content": "Oh ok right",
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"author_name": "Jun♾",
"timestamp": "06/24/2022 00:23:29",
"content": "Can you explain why we did this, I have a little doubt although it’s correct",
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},
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "06/24/2022 00:24:45",
"content": "Or actually I got it, thanks",
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"author_name": "Jun♾",
"timestamp": "06/24/2022 00:24:52",
"content": ".close",
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"timestamp": "06/24/2022 00:24:53",
"content": "Channel closed",
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}
] |
help-9
|
ffbcce47c9644cf8aa904cca677a7d7e
|
196,799 |
[
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"id": 989748658406826000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/24/2022 00:27:48",
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"content": "the 2 is always positive",
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"timestamp": "06/24/2022 00:28:03",
"content": "the 1 is only positive when it's on the right side of the circle",
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"timestamp": "06/24/2022 00:28:08",
"content": "Oh ok",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "06/24/2022 00:31:22",
"content": "Thanks",
"attachments": [],
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},
{
"id": 989749560450637800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 00:31:23",
"content": "Pinned a message.",
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"timestamp": "06/24/2022 00:42:55",
"content": ".close",
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"timestamp": "06/24/2022 00:42:55",
"content": "Channel closed",
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}
] |
help-9
|
ca725920a72e49329e12679e175c0321
|
196,800 |
[
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"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 00:43:55",
"content": "Available help channel!",
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},
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"id": 989755575548121200,
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"content": "Pinned a message.",
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"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/24/2022 00:56:29",
"content": "I'm trying to do this exercise. I found until the 4 derivative and I get 0 for x0=0 for all of them. It takes too much time doing the derivatives. Is there a simpler way to approach this exercise?",
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"id": 989756215796064300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/24/2022 00:57:50",
"content": "use the hint",
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},
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"id": 989756464925126700,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/24/2022 00:58:50",
"content": "What is the geometric progression?",
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},
{
"id": 989756994984476800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/24/2022 01:00:56",
"content": "$\\forall y \\in (-1, 1),\\ \\sum_{n=0}^\\infty y^n = \\frac{1}{1-y}$",
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},
{
"id": 989757771304013800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/24/2022 01:04:01",
"content": "**riemann**",
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"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:07:07",
"content": "I'm not sure how to use this in this exercise. But I've seen this used for the series ar^n-1 and it's 1/1-r",
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"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:07:25",
"content": "Should it be like this?",
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"id": 989758685263847400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 01:07:39",
"content": "try first finding a power series for 1/(1+2x^4)",
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"id": 989758703135780900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 01:07:43",
"content": "then multiplying it by x^5",
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"id": 989758751630307300,
"author_id": 183668144404037630,
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"timestamp": "06/24/2022 01:07:55",
"content": "no, this will not be it",
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"timestamp": "06/24/2022 01:14:06",
"content": ",rotate",
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"timestamp": "06/24/2022 01:19:21",
"content": "Is this the domain of convergence?",
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"id": 989761949883584500,
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"author_name": "riemann",
"timestamp": "06/24/2022 01:20:37",
"content": "nearly there",
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"id": 989761967289925600,
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"author_name": "riemann",
"timestamp": "06/24/2022 01:20:41",
"content": "you still need to check endpoints",
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"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:31:48",
"content": "I think both will diverge",
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},
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"id": 989765207838568400,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:33:34",
"content": "The endpoints are the ones I circled right?",
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"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:33:47",
"content": "",
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"author_name": "riemann",
"timestamp": "06/24/2022 01:34:34",
"content": "that's not \"checking endpoints\"",
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"id": 989765753387515900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/24/2022 01:35:44",
"content": "see the endpoints being checked here in Solution 1\nhttps://web.ma.utexas.edu/users/m408s/2016/LM11-8-3.html#:~:text=The%20endpoints%20of%20the%20interval,a%20power%20series)%20to%20consider.",
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"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:37:43",
"content": "Thank you very much",
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},
{
"id": 989766343769354200,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/24/2022 01:38:05",
"content": ".close",
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},
{
"id": 989766345384153100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 01:38:05",
"content": "Channel closed",
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}
] |
help-9
|
72532fa0941b4bfcb21afd9f9f375881
|
196,801 |
[
{
"id": 989766598397161500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 01:39:06",
"content": "Available help channel!",
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},
{
"id": 989776273695977500,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:17:32",
"content": "Can a connected graph on 5 vertices have degrees \n 2,3,3,5,5. I cannot seem to draw it.",
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},
{
"id": 989776275864428500,
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"timestamp": "06/24/2022 02:17:33",
"content": "Pinned a message.",
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"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:20:08",
"content": "Am i right in my thinking ......A Connected graph with vertices of degrees 2,3,3,5,5. It is impossible to draw this graph. There are only 5 vertices, so each vertex can only be joined to at most four other vertices, so the maximum degree of any vertex would be 4.??",
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"id": 989777056315367400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:20:39",
"content": "is it `2, 2, 3, 4, 4, 4` or `2, 3, 3, 4, 4, 4`?",
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},
{
"id": 989777194521866200,
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"author_name": "George george",
"timestamp": "06/24/2022 02:21:12",
"content": "2,3,3,5,5",
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},
{
"id": 989777243838505000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:21:24",
"content": "?????",
"attachments": [],
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},
{
"id": 989777285391478800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:21:34",
"content": "you've given THREE different degree sequences now.",
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},
{
"id": 989777326382411800,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:21:43",
"content": "Probably four!",
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},
{
"id": 989777345730711600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:21:48",
"content": ":sully:",
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},
{
"id": 989777365376839700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:21:53",
"content": "are you being difficult on purpose, or what",
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},
{
"id": 989777449342599200,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:22:13",
"content": "2,3,3,5,5! Final answer.",
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},
{
"id": 989777477717086200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:22:19",
"content": "okay",
"attachments": [],
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},
{
"id": 989777518871580700,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:22:29",
"content": "Not trying to be difficult, sorry!",
"attachments": [],
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},
{
"id": 989777519479779300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:22:29",
"content": "in that case, yes, your reasoning is correct.",
"attachments": [],
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},
{
"id": 989778192237727700,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:25:10",
"content": "Thank you. While you're here \" With a Tree with 6 vertices with degrees 1,2,3,2,2,2 - Is not a tree, as it doesn't have enough end points. I can draw a tree on 8 with \"1,1,1,1,1,2,3,4\" Is there a degree edge rule to proof it cannot exist.\"",
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},
{
"id": 989778247736766500,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:25:23",
"content": "Thanks again for the help",
"attachments": [],
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},
{
"id": 989778436409147400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:26:08",
"content": "your punctuation makes your messages hard to read",
"attachments": [],
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},
{
"id": 989778459469443100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:26:13",
"content": "are you able to send pictures of the problems you're doing?",
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},
{
"id": 989779335303012400,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:29:42",
"content": "Far enough i sent a bit crazy with the \", -, ', #$\"",
"attachments": [],
"mentions": [],
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},
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"id": 989779521936973800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:30:27",
"content": "and you are doing parts (a) and (b) now, correct?",
"attachments": [],
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},
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"id": 989779550068166700,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:30:33",
"content": "Correct",
"attachments": [],
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},
{
"id": 989779795221053400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:31:32",
"content": "and you have drawn a picture for part (a), yes?",
"attachments": [],
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},
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"id": 989779816255463400,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:31:37",
"content": "I have drawn (a)",
"attachments": [],
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},
{
"id": 989779888615600100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:31:54",
"content": "ok then please show me what you've drawn for part (a).",
"attachments": [],
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},
{
"id": 989780392993243100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:33:54",
"content": "looks good to me",
"attachments": [],
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},
{
"id": 989780472626303100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:34:13",
"content": "you were asking about something that can prove _non_-existence for part (a), correct?",
"attachments": [],
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},
{
"id": 989780601534050400,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:34:44",
"content": "Part (b) - thought it had to do with not enough end points, that's what i was struggling with when drawing",
"attachments": [],
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},
{
"id": 989780640306196500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:34:53",
"content": "what's an \"end point\"?",
"attachments": [],
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},
{
"id": 989780680462442600,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:35:03",
"content": "Where the one sits",
"attachments": [],
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},
{
"id": 989780710774702100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:35:10",
"content": "ah, so vertices of degree 1.",
"attachments": [],
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},
{
"id": 989780727342174300,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:35:14",
"content": "Yes.",
"attachments": [],
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},
{
"id": 989780749215473700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:35:19",
"content": "also called _leaves_ sometimes when talking about trees specifically.",
"attachments": [],
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},
{
"id": 989780779594813400,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:35:27",
"content": "Thanks.",
"attachments": [],
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},
{
"id": 989780959211696100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:36:09",
"content": "there is a theorem which states that the number of leaves in a tree is at least the maximum vertex degree.",
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},
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"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:36:36",
"content": "I'll look into it, Thanks again for the tips.",
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},
{
"id": 989781135208874000,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:36:51",
"content": "That's sorted then. Thanks",
"attachments": [],
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},
{
"id": 989781160571863000,
"author_id": 764728077552320500,
"author_name": "George george",
"timestamp": "06/24/2022 02:36:57",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 989781162383773700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 02:36:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a17806e6ceea4a5988321a9dceaea6ee
|
196,802 |
[
{
"id": 989781415614881800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 02:37:58",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989782175475957800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/24/2022 02:40:59",
"content": "Each time the button is pressed, it adds the next sequence.\nI want to calculate how much total it would cost if I pressed the button 500+ times, which would be very tedious to continue calculating this way.\n\nHow could I write this as a formula that a calculator or excel could just take the variable 500 and just add (45x1) through (45x500)",
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"id": 989782178177097700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 02:41:00",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 989782175475957800,
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"id": 989782343361368000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:41:39",
"content": "do you know how to add all the integers from 1 to n inclusive?",
"attachments": [],
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},
{
"id": 989782353217978400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:41:42",
"content": "i.e. 1 + 2 + ... + n?",
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},
{
"id": 989782397908291600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:41:52",
"content": "theres a pretty famous formula for it thats sometimes named after Gauss",
"attachments": [],
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},
{
"id": 989782973261951100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/24/2022 02:44:10",
"content": "No idea",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989783261058326500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:45:18",
"content": "$1 + 2 + \\dots + n = \\frac{n(n+1)}{2}$",
"attachments": [],
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},
{
"id": 989783269719547900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/24/2022 02:45:20",
"content": "**Ann**",
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"id": 989783275776114700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:45:22",
"content": "this formula",
"attachments": [],
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},
{
"id": 989783306583285800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:45:29",
"content": "i can walk you through the proof if you'd like",
"attachments": [],
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},
{
"id": 989783343602208900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:45:38",
"content": "your sum is 45 times this",
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},
{
"id": 989783764655800300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/24/2022 02:47:18",
"content": "I feel old, I learned this is high school but it looks greek to me lol\n\nDo you know how I could type it into google sheets?",
"attachments": [],
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},
{
"id": 989783848114081800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:47:38",
"content": "it's just some multiplication, addition and division?",
"attachments": [],
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},
{
"id": 989783946285953000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 02:48:02",
"content": "`=A1*(A1 + 1)/2` where `A1` is the cell where n is",
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},
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"id": 989784089873743900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/24/2022 02:48:36",
"content": "🙏 Thank you I'll plug it in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989786450549682200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/24/2022 02:57:59",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989786452084793300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 02:57:59",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6b4a907dd89e4d108199398f295219c9
|
196,803 |
[
{
"id": 989786704967770100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 02:58:59",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989788939730686000,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 03:07:52",
"content": "Hi, why is this wrong?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 03:07:53",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 989788939730686000,
"channelId": 486844875632017400,
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}
},
{
"id": 989789016968798200,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 03:08:11",
"content": "My final solution interval is wrong and I have no idea why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989789193926479900,
"author_id": 547337961491005440,
"author_name": "BUTTERYTOAST",
"timestamp": "06/24/2022 03:08:53",
"content": "Using radiant btw, normally use degree so no idea what's happening",
"attachments": [],
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"reference": null
},
{
"id": 989789235571720200,
"author_id": 547337961491005440,
"author_name": "BUTTERYTOAST",
"timestamp": "06/24/2022 03:09:03",
"content": "Wait I resend",
"attachments": [],
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"reference": null
},
{
"id": 989789565004963800,
"author_id": 547337961491005440,
"author_name": "BUTTERYTOAST",
"timestamp": "06/24/2022 03:10:21",
"content": "Why does area of OAB equal to half oa times ob times sin(theta)?",
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"id": 989789657439039500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 03:10:43",
"content": "Hey man you might want to use a new available math help channel",
"attachments": [],
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},
{
"id": 989789733733429200,
"author_id": 547337961491005440,
"author_name": "BUTTERYTOAST",
"timestamp": "06/24/2022 03:11:01",
"content": "Oops sry",
"attachments": [],
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},
{
"id": 989789759964606500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 03:11:08",
"content": "No problem and good luck",
"attachments": [],
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},
{
"id": 989789774095212500,
"author_id": 547337961491005440,
"author_name": "BUTTERYTOAST",
"timestamp": "06/24/2022 03:11:11",
"content": "Ty",
"attachments": [],
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"reference": null
},
{
"id": 989793535911940100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 03:26:08",
"content": "@rice Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 03:56:21",
"content": "@rice Has your question been resolved?",
"attachments": [],
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{
"id": 989810262599143400,
"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:32:36",
"content": "ok so what's happening here?",
"attachments": [],
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},
{
"id": 989810357021323300,
"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:32:58",
"content": "how is the final solution interval wrong?",
"attachments": [],
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},
{
"id": 989811215494676600,
"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:36:23",
"content": "That expression is equivalent to $\\tan\\left( x - \\frac{\\pi}{6} \\right) = -\\frac{2}{3} \\\\$ where \n$x - \\frac{\\pi}{6} \\in \\left(\\frac{5\\pi}{6} , \\frac{17\\pi}{6}\\right)$",
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},
{
"id": 989811598933762000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/24/2022 04:37:54",
"content": "**Azzurala**",
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"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:38:32",
"content": "so it means that the solution will be in the 2nd and 4th quadrant",
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},
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"id": 989813715966758900,
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"author_name": "Azzurala",
"timestamp": "06/24/2022 04:46:19",
"content": "Thus, $x- \\frac{\\pi}{6} = \\left\\{ 2\\pi -\\arctan\\left(\\frac{2}{3}\\right) , \\frac{5\\pi}{2} + \\arctan\\left(\\frac{2}{3}\\right) \\right\\}$",
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{
"id": 989814596623802500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/24/2022 04:49:49",
"content": "**Azzurala**",
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"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:50:27",
"content": "that's the 4th quadrant answer and the 2nd quadrant answer",
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"id": 989815189329297400,
"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:52:11",
"content": "as for why I think it's like that, it's because $\\tan\\left( \\frac{\\pi}{6} \\right) = \\frac{\\sqrt{3}}{3} < \\frac{2}{3}}$",
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"id": 989815897113919500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/24/2022 04:54:59",
"content": "**Azzurala**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_name": "Azzurala",
"timestamp": "06/24/2022 04:56:28",
"content": "",
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"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:56:32",
"content": "which looks like that",
"attachments": [],
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},
{
"id": 989816393576902700,
"author_id": 176965290087677950,
"author_name": "Azzurala",
"timestamp": "06/24/2022 04:56:58",
"content": "sorry I'm at work rn so I can't exactly be too articulate. Just typing this up on phone is already a big pain lol",
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},
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"id": 989821427697983500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 05:16:58",
"content": "@rice Has your question been resolved?",
"attachments": [],
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"nickname": "rice",
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{
"id": 989822802314022900,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 05:22:26",
"content": "oh thank you so much for answering i didnt get a notification",
"attachments": [],
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},
{
"id": 989822814745952400,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 05:22:29",
"content": "let me see",
"attachments": [],
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},
{
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"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "06/24/2022 06:01:39",
"content": "thanks a lot i got it! I appreciate it a lot thanks so much",
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"author_name": "rice",
"timestamp": "06/24/2022 06:01:41",
"content": ".close",
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},
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"id": 989832683112759300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 06:01:41",
"content": "Channel closed",
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}
] |
help-9
|
a8a662416b884c64afa461bec77d8b3e
|
196,804 |
[
{
"id": 958129242032468000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 18:23:32",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 958133443454177300,
"author_id": 391384142136344600,
"author_name": "Flurray",
"timestamp": "03/28/2022 18:40:14",
"content": "Linear Algebra question!\n\nC) Given vectors v and w in R3, we denote by πv (w) the ortogonal projection of the w vector on the v vector.\n\nConsider vectors v1, v2 in R3 so that\n\n| | v1 | | = 1, | | v2 | | = 3, | | v1 X v2 | | = 2\n\nDetermine if it’s possible to choose vectors v1 and v2 so that:\n\nπv1 (v2) = πv2 (v1) \n\nIf it exists, determine explicitly two vectors v1 and v2 with that property. If they don’t clearly justify your answer",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 18:40:14",
"content": "Pinned a message.",
"attachments": [],
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"id": 958135153681649800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/28/2022 18:47:01",
"content": "Don’t you think that πv1(v2)=πv2(v1) directly implies that v1=v2 or v1 and v2 are orthogonal…",
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"author_name": "Cogwheels of the mind",
"timestamp": "03/28/2022 18:49:12",
"content": "The former case is impossible because if they are equal their cross product is 0, isn’t of length 2 contradiction so v1 and v2 are orthogonal",
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},
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"id": 958135899827351600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/28/2022 18:49:59",
"content": "Then this is also impossible because 3=|v1||v2|=|their cross product|=2",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 18:55:14",
"content": "@Flurray Has your question been resolved?",
"attachments": [],
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"timestamp": "03/28/2022 19:10:14",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
29d13d8fe6b740bb8d2491c9d75d5bc3
|
196,805 |
[
{
"id": 989832935966408700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 06:02:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989840422719336400,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:32:27",
"content": "Let k1 and K2 be the coefficients of direction from the point A(-1,3) on the oval X^2/4+y^2/11=1. Then k1^2 +k2^2 is?",
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"id": 989840425428873200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 06:32:27",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 989840422719336400,
"channelId": 486844875632017400,
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}
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"id": 989840501039583200,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:32:45",
"content": "so I tried solving the system like a person here suggested",
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},
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"id": 989840556391804900,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:32:58",
"content": "system of",
"attachments": [],
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},
{
"id": 989840680518029300,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:33:28",
"content": "y = 3 + k(x+1 )and x^2/4 + y^2/11 = 1",
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},
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"id": 989840727041278000,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:33:39",
"content": "but as I have 3 variables and 2 equations",
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},
{
"id": 989840745080946700,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:33:43",
"content": "it doesn't work out",
"attachments": [],
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},
{
"id": 989841986007732200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 06:38:39",
"content": "maybe if you read what that person said more carefully",
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},
{
"id": 989842167784702000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 06:39:23",
"content": "they said that you should consider the system\n```\ny = 3 + k(x+1)\nx^2/4 + y^2/11 = 1\n```\nwith k as the _parameter_, and to find those values of k in which this system has a unique solution for x and y.",
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"id": 989842219928281100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 06:39:35",
"content": "i should know, i'm that person.",
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},
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"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:42:41",
"content": "Oh I know u r right",
"attachments": [],
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"id": 989843017965916200,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:42:45",
"content": "I just odn't know how to do it",
"attachments": [],
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},
{
"id": 989843059246248000,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:42:55",
"content": "I wasn't trying to call you out my b",
"attachments": [],
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},
{
"id": 989843094189015000,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:43:04",
"content": "but I just don't know how to solve the thing xd",
"attachments": [],
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},
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"id": 989843281657606100,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:43:48",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/989843280122486794/20220624_124335.jpg",
"fileName": "20220624_124335.jpg",
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"id": 989844955520462800,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:50:27",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/989844954413170719/20220624_125020.jpg",
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"id": 989844978404581400,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 06:50:33",
"content": "This is the equation I get",
"attachments": [],
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},
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"id": 989848754393874400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:05:33",
"content": "@Frojodo Has your question been resolved?",
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"id": 989850900862496900,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:05",
"content": "@Ann I got the right number",
"attachments": [],
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"name": "Ann",
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{
"id": 989850907351085000,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:06",
"content": "but ti was",
"attachments": [],
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},
{
"id": 989850916167499900,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:08",
"content": "SO much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989850941073268700,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:14",
"content": "calculating :gengarsweat:",
"attachments": [],
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},
{
"id": 989850947779964900,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:16",
"content": "LIke",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989850953320628200,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:17",
"content": "4 pages",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 989850961222705200,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:19",
"content": "worth xd",
"attachments": [],
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},
{
"id": 989850970315948000,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:21",
"content": "thank you",
"attachments": [],
"mentions": [],
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},
{
"id": 989850991325233200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 07:14:26",
"content": "well i _did_ say it would be somewhat painful.",
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},
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"id": 989851061789552800,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:43",
"content": "it was ***somewhat*** painful indeed",
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},
{
"id": 989851090524725200,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:50",
"content": ".close",
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},
{
"id": 989851092462485500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:14:50",
"content": "Channel closed",
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}
] |
help-9
|
87d19027e9ab44e8873832431bbbf1fd
|
196,806 |
[
{
"id": 989851097210429600,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:14:52",
"content": ":Prayge:",
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},
{
"id": 989851345618104300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:15:51",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 989851822934093800,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:17:45",
"content": "If it takes an hour to fun 12.6 km, how long will it take to run 20km in hours minutes and seconds",
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},
{
"id": 989851824729235500,
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"timestamp": "06/24/2022 07:17:45",
"content": "Pinned a message.",
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{
"id": 989851908443349000,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:18:05",
"content": "I just did this for a test and wanna know if i got it right",
"attachments": [],
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},
{
"id": 989852213155340300,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "06/24/2022 07:19:18",
"content": "unitary method -_-",
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},
{
"id": 989852366553612300,
"author_id": 939921194474430500,
"author_name": "aced",
"timestamp": "06/24/2022 07:19:54",
"content": "yeah lmao",
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{
"id": 989852581583003600,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:20:46",
"content": "I got an hour 35 minutes and 14 seconds",
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},
{
"id": 989852585487904800,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:20:46",
"content": "3600:12.6=x:20",
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},
{
"id": 989852598695776300,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:20:50",
"content": "if u did it like that",
"attachments": [],
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},
{
"id": 989852616546742300,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:20:54",
"content": "then u did it right",
"attachments": [],
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},
{
"id": 989852834059132900,
"author_id": 247310835121127420,
"author_name": "Frojodo",
"timestamp": "06/24/2022 07:21:46",
"content": ":This:",
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"id": 989852846507851900,
"author_id": 939921194474430500,
"author_name": "aced",
"timestamp": "06/24/2022 07:21:49",
"content": "```1.587 hours\n95.23 minutes\n5,714.285 seconds\n```",
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"id": 989853425107865600,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:24:07",
"content": "Thank you",
"attachments": [],
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},
{
"id": 989853432032690200,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:24:08",
"content": ".closr",
"attachments": [],
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},
{
"id": 989853443042721800,
"author_id": 721137519965503600,
"author_name": "The Legendary Captain Pom",
"timestamp": "06/24/2022 07:24:11",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 989853444946927700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:24:11",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
3e23ac485c964551b0f39b544cf9795a
|
196,807 |
[
{
"id": 989854349524086800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:27:47",
"content": "Available help channel!",
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},
{
"id": 989856341336162300,
"author_id": 702562785241858000,
"author_name": "High-Entropy",
"timestamp": "06/24/2022 07:35:42",
"content": "This isnt really a problem but i think its more appropriate to ask in a help chanel anyways. Maybe im being stupid... but im pretty sure this thing the answer is doing doesn't make sense.",
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"timestamp": "06/24/2022 07:35:42",
"content": "Pinned a message.",
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"author_id": 702562785241858000,
"author_name": "High-Entropy",
"timestamp": "06/24/2022 07:37:19",
"content": "wouldnt the right answer be x>-6 ?",
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},
{
"id": 989856888264990700,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "06/24/2022 07:37:52",
"content": "no",
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},
{
"id": 989857025360035800,
"author_id": 702562785241858000,
"author_name": "High-Entropy",
"timestamp": "06/24/2022 07:38:25",
"content": "okay so i AM being stupid. just where is the question",
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},
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"id": 989857103671869400,
"author_id": 320866007633625100,
"author_name": "Eichhorst",
"timestamp": "06/24/2022 07:38:44",
"content": "uhm I assume thats the answer",
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},
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"timestamp": "06/24/2022 07:39:07",
"content": "x > 6 ?",
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"content": "if this is all you have there is nothing more to say, than x > 6",
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"content": "**Eichhorst**",
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"content": "but its not -x < -6",
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"content": "ah lol now I see it",
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"content": "yeah seems wrong lol",
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"timestamp": "06/24/2022 07:41:28",
"content": "you are correct",
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"content": "oh okok",
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"content": "I thought you meant the last step and how it works, sorry :aPES2_Sweat:",
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"content": "np. anyways good to know this textbook is a load of bull",
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"content": "ty bye bye",
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"content": ".close",
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] |
help-9
|
03dc8ea6124c41018b266383175497d0
|
196,808 |
[
{
"id": 989858871331913900,
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"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 07:45:45",
"content": "Available help channel!",
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},
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"id": 989863942178345000,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 08:05:54",
"content": "I've found a way to solve this but there is a lot of work, do you guys have any ideas of a not so complicated way to solve this?",
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"content": "Pinned a message.",
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"timestamp": "06/24/2022 08:10:35",
"content": "I probably can't help but I just wanna comment. Just do it the long way then pick apart the problem to understand how you could have done it in a shorter way",
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"content": "@IntoTheShadow Has your question been resolved?",
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"content": "@IntoTheShadow Has your question been resolved?",
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"timestamp": "06/24/2022 09:12:05",
"content": "@Helpers",
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},
{
"id": 989882326894911500,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 09:18:57",
"content": "Ops, i meant < or = not =",
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"content": "@IntoTheShadow Has your question been resolved?",
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"id": 989905432942350300,
"author_id": 695601685661221000,
"author_name": "Hs",
"timestamp": "06/24/2022 10:50:46",
"content": "The first statement of the problem is just Titu's lemma and is always true under given conditions.",
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},
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"id": 989905678476931200,
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"timestamp": "06/24/2022 10:51:45",
"content": "Is the sign in problem $\\geq$ ?",
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"author_name": "TeXit",
"timestamp": "06/24/2022 10:51:47",
"content": "**Hs**",
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"author_id": 239666194003656700,
"author_name": "JC Denton",
"timestamp": "06/24/2022 11:32:43",
"content": "@IntoTheShadow",
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"timestamp": "06/24/2022 11:33:31",
"content": "Yes",
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"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 11:33:56",
"content": "That is the sign",
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},
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"id": 989942222348767200,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:16:58",
"content": "ew",
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"id": 989942233966981100,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:00",
"content": "inequalities",
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},
{
"id": 989942265575247900,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:08",
"content": "use bunyakovsky",
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},
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"id": 989942284432867300,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:12",
"content": "if youve learnt that",
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},
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"id": 989942337805381800,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:25",
"content": "can you prove bunyakovsky’s inequality tho",
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"id": 989942423222374400,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:45",
"content": "wait nvm",
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},
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"id": 989942476578099300,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:17:58",
"content": "its like super simple",
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},
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"author_name": "leonard",
"timestamp": "06/24/2022 13:18:00",
"content": "",
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"id": 989942546698481700,
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"author_name": "leonard",
"timestamp": "06/24/2022 13:18:15",
"content": "wait wha",
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},
{
"id": 989942743100977200,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:19:02",
"content": "nvm",
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{
"id": 989942861409681400,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:19:30",
"content": "a^2/ x + b^2/y >= (a+b)^2/x+y as given",
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"id": 989943137923375200,
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"author_name": "leonard",
"timestamp": "06/24/2022 13:20:36",
"content": "meaning a^2/x + b^2/y + c^2/z >= (a+b)^2/x+y + c^2/z >= (a+b+c)^2/x + y +z",
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"id": 989943151621988500,
"author_id": 649984702010359800,
"author_name": "leonard",
"timestamp": "06/24/2022 13:20:39",
"content": "boom done solved",
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},
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"id": 989949556114477000,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 13:46:06",
"content": "Oh, i see",
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},
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"id": 989949571251720200,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 13:46:10",
"content": "Thanks",
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},
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"id": 989949578595946500,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "06/24/2022 13:46:11",
"content": ".close",
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},
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"id": 989949580412068000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 13:46:12",
"content": "Channel closed",
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}
] |
help-9
|
3d0653e71c2140dd87dc86e4d7bef29e
|
196,809 |
[
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"timestamp": "06/24/2022 15:37:58",
"content": "Available help channel!",
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},
{
"id": 989978049799921700,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:39:19",
"content": "is this a sufficient proof of equality",
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"content": "Pinned a message.",
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"id": 989979431378501600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 15:44:49",
"content": "this is a very poorly written proof. The first thing I'd recommend is actually stating the existence of something as one thing only. You don't say there exists g(f(x)) such that ... you say there exists x such that g(f(x)) ... which doesn't work when you already set x. Try to express what one property means, what the other means, and show they're equivalent",
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"id": 989980131902763100,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:47:36",
"content": "okie one sec",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:48:25",
"content": "i know i can just prove theyre subsets of each other and pick an element in each and follow it around with the functions, was tryna do sumn different",
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"id": 989980717184348300,
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"author_name": "themateo713",
"timestamp": "06/24/2022 15:49:55",
"content": "the shortest way is to just chain equivalences, but it doesn't hurt to train on writing proofs with sentences",
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"id": 989980879168348300,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:50:34",
"content": "i've noticed that different people seem to prefer different amounts of english in their proofs",
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"id": 989980964811849900,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:50:54",
"content": "personally, i think i can verbalize things better using mostly sentences but then i inevitably fall short of rigor",
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},
{
"id": 989981061914189800,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:51:18",
"content": "though that proof maybe isnt the most rigorous either :KEK:",
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},
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"id": 989981353409937400,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:52:27",
"content": "> The first thing I'd recommend is actually stating the existence of something as one thing only.",
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},
{
"id": 989981376562491400,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:52:33",
"content": "can you elaborate on this tho please",
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},
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"id": 989981474893738000,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:52:56",
"content": "i see how i should say \"let x ....\" first",
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},
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"id": 989981526626275300,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:53:08",
"content": "is that what you meant",
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},
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"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:53:42",
"content": "oh wait",
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"id": 989981678598520800,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:53:45",
"content": "i see what you mean",
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"author_name": "themateo713",
"timestamp": "06/24/2022 15:53:47",
"content": "\"if there exists f(x) in B\", \"if there exists g(f(x)) in C\". Who do you want to exist there ? x, f(x), g(f(x)) ? What does it mean for f(x) to exist ? You need to be more rigorous when stating what exists",
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"id": 989981714426265600,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:53:53",
"content": "if im fixing x, f(x) is already determined",
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"timestamp": "06/24/2022 15:54:28",
"content": "if you want, I can show you the start and let you fill in the logic",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 15:54:40",
"content": "nah i wanna do it :WanWan:",
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"id": 989983146512638000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 15:59:35",
"content": "since this is taking some time, feel free to ping me when you're done or I might miss it",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:00:10",
"content": "ye just once sec, typing it up",
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"timestamp": "06/24/2022 16:00:37",
"content": "ok",
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"timestamp": "06/24/2022 16:03:54",
"content": "i dont think this is perfectly expressed but i think it's better @themateo713",
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"content": "much better indeed. Though you're basically double stating every equivalence \"this is only true if and only if\", remove the first only.",
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"content": "this is also way too heavily worded for my taste and I'd argue it makes it unnecessarily heavy but it works I think",
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"timestamp": "06/24/2022 16:06:57",
"content": "yeah that's the other thing, i tend to be verbose when i dont need to be lol",
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"timestamp": "06/24/2022 16:07:02",
"content": "though setting x then saying \"an element x\" is not a good thing. Either x is set of it isn't, but not both",
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"timestamp": "06/24/2022 16:07:30",
"content": "especially when you then say i.e. (mathematical notation for it). Then just put the mathematical notation",
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"timestamp": "06/24/2022 16:07:42",
"content": "i just didnt wanna start a sentence with latex'ed x lol",
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"timestamp": "06/24/2022 16:07:58",
"content": "but yeah :catthumbsup:",
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"timestamp": "06/24/2022 16:08:55",
"content": "if you want I can show you proof by chain of equivalences",
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"timestamp": "06/24/2022 16:09:12",
"content": "or the less verbose way, unless you want to try as an exercise",
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"timestamp": "06/24/2022 16:10:30",
"content": "",
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"timestamp": "06/24/2022 16:10:35",
"content": "what's the less verbose way",
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"timestamp": "06/24/2022 16:11:01",
"content": "that's less verbose",
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"timestamp": "06/24/2022 16:11:23",
"content": "then there's the \"words ? Unnecessary\" method which is great for simple proofs like that",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:12:46",
"content": "i mean yeah if and only if can become \\iff",
"attachments": [],
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"id": 989986512944889900,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:12:57",
"content": "but i'll content myself with this :WanWan:",
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"timestamp": "06/24/2022 16:13:51",
"content": "I mean really not a single word written, just mathematical notation all the way",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:14:15",
"content": "ehh that's yucky for my taste but yeah",
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"author_name": "themateo713",
"timestamp": "06/24/2022 16:14:36",
"content": "You'll learn to like it. Later",
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"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:23:09",
"content": "is this too scuffed :KEK:",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:23:57",
"content": "i did it by contrapositive cuz if you start by assuming x,y \\in C you're not guaranteed for them to have preimages right?",
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:24:58",
"content": "oh wait you start with x,y \\in A and let f(g(x)) = f(g(y))",
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"id": 989989589496258600,
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"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:25:11",
"content": "ik it's reversed in the pic to g(f()) i fixed that",
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"author_name": "themateo713",
"timestamp": "06/24/2022 16:25:42",
"content": "if you already know that (f injective) <=> (for all x, y in E, ((x != y) => (f(x) != f(y))) then yes",
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"id": 989989857881362400,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:26:15",
"content": "this fine then?",
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},
{
"id": 989989947081629700,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:26:36",
"content": "it's not hw im just doing early stuff in munkres :WanWan:",
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"id": 989990044087513100,
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"author_name": "themateo713",
"timestamp": "06/24/2022 16:26:59",
"content": "this is fine yes",
"attachments": [],
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},
{
"id": 989990102891638800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 16:27:13",
"content": "most properties from the start of chapters tend to be quite elementary",
"attachments": [],
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},
{
"id": 989990173137854600,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:27:30",
"content": "yeah problems just take me too long for no reason :bhappy:",
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{
"id": 989990206524497900,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:27:38",
"content": "merci for the help",
"attachments": [],
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},
{
"id": 989990216297230300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 16:27:40",
"content": "it comes with experience",
"attachments": [],
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},
{
"id": 989990278469394400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 16:27:55",
"content": "why merci ?",
"attachments": [],
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"id": 989990370387583000,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:28:17",
"content": "yes :catthumbsup:",
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"id": 989990655432466400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 16:29:25",
"content": "I'm just surprised to read a French word from someone to whom I haven't told I'm French",
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"id": 989990713582293000,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:29:39",
"content": ":sharkpog:",
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"id": 989990768913547400,
"author_id": 395300498552651800,
"author_name": "stμ₂dying",
"timestamp": "06/24/2022 16:29:52",
"content": "im not even remotely french i just like saying merci",
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"id": 989990823158509600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/24/2022 16:30:05",
"content": "lmao",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 16:44:52",
"content": "@stμ₂dying Has your question been resolved?",
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"timestamp": "06/24/2022 16:47:01",
"content": "Channel closed",
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}
] |
help-9
|
08ec46d838a8431fbf3c60a70364cfd2
|
196,810 |
[
{
"id": 990060791589896200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 21:08:07",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 990067309802582000,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "06/24/2022 21:34:01",
"content": "hi",
"attachments": [],
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},
{
"id": 990067314097528800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 21:34:02",
"content": "Pinned a message.",
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"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "06/24/2022 21:34:07",
"content": "Hello, I was trying to get to the inequality in the formula through the process that they have indicated to me but it does not work out.\n\n3<x<w (multiply by -8)\n-24>-8x>-8w\nadd 16\n-8 > -8x+16 > -8w+16\n\nThen, to combine this inequality with the first one (the one in the photo) I must place it like this:\n\n-8w+16<-8x+16<-8\n\nAnd when I add it up, I get strange things... The only correct thing I see is the middle part, that which is x2-8x+16 but the other two members have nothing to do with it.",
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"id": 990068129625436200,
"author_id": 372886493993369600,
"author_name": "Slimecat",
"timestamp": "06/24/2022 21:37:16",
"content": "When you multiply by a negative in an inequality",
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},
{
"id": 990068141805682800,
"author_id": 372886493993369600,
"author_name": "Slimecat",
"timestamp": "06/24/2022 21:37:19",
"content": "All the signs flip",
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},
{
"id": 990068185883635700,
"author_id": 372886493993369600,
"author_name": "Slimecat",
"timestamp": "06/24/2022 21:37:30",
"content": "So < goes to > for eg",
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},
{
"id": 990068223418441900,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "06/24/2022 21:37:39",
"content": "yes",
"attachments": [],
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},
{
"id": 990068229508571100,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "06/24/2022 21:37:40",
"content": "I did it",
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},
{
"id": 990068301684146200,
"author_id": 372886493993369600,
"author_name": "Slimecat",
"timestamp": "06/24/2022 21:37:57",
"content": "Oh ok doesnt show in the text sorry",
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},
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"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 21:52:40",
"content": "@Funciones Reales Has your question been resolved?",
"attachments": [],
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"author_name": "Funciones Reales",
"timestamp": "06/24/2022 22:13:11",
"content": ".close",
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},
{
"id": 990077167956295700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 22:13:11",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5626dcc9d9a342f4a34fdd18c026164f
|
196,811 |
[
{
"id": 990102969280245800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/24/2022 23:55:43",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 990103329881354200,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/24/2022 23:57:09",
"content": "",
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"timestamp": "06/24/2022 23:57:09",
"content": "Pinned a message.",
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{
"id": 990103439533023200,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/24/2022 23:57:35",
"content": "I think the first question answer is false\nAnd and 2 is true but not sure",
"attachments": [],
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},
{
"id": 990103756744052700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 23:58:50",
"content": "@Dingle do you have an example in mind of a matrix A such that A is invertible but -A isn't?",
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"id": 990103839250206700,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/24/2022 23:59:10",
"content": "Actually no",
"attachments": [],
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},
{
"id": 990104001343270900,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/24/2022 23:59:49",
"content": "I was thinking if determinants but the only way for a det to be 0 or not capable of a inverse is if there is a free variable",
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{
"id": 990104015939457000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/24/2022 23:59:52",
"content": "then why do you think (c) is false?",
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},
{
"id": 990104050647314600,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/25/2022 00:00:00",
"content": "So the negetive dint matter if it is invertable",
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},
{
"id": 990104067596484600,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/25/2022 00:00:04",
"content": "I think it true nos",
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"id": 990104072973590500,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/25/2022 00:00:06",
"content": "Now",
"attachments": [],
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},
{
"id": 990104155731398700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 00:00:25",
"content": "in fact $(-A)^{-1} = -(A^{-1})$, so",
"attachments": [],
"mentions": [],
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},
{
"id": 990104168167530500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 00:00:28",
"content": "**Ann**",
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"fileName": "183668144404037632.png",
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},
{
"id": 990104368814645200,
"author_id": 706542531206185100,
"author_name": "Dingle",
"timestamp": "06/25/2022 00:01:16",
"content": "So the correct answe is true?",
"attachments": [],
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},
{
"id": 990107201190387700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 00:12:32",
"content": "yes",
"attachments": [],
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},
{
"id": 990108460362379300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 00:17:32",
"content": "@Dingle Has your question been resolved?",
"attachments": [],
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"id": 990112236204879900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 00:32:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b2d76aebd0124c99b1d816639e699713
|
196,812 |
[
{
"id": 990112488181870600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 00:33:32",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990116010633871400,
"author_id": 363169056804569100,
"author_name": "CalicoJackRackham",
"timestamp": "06/25/2022 00:47:32",
"content": "What formula would generate this curve?",
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 00:47:32",
"content": "Pinned a message.",
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{
"id": 990116333473660900,
"author_id": 983597597786783900,
"author_name": "BenJr",
"timestamp": "06/25/2022 00:48:49",
"content": ",w graph x^2",
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},
{
"id": 990116342000664600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 00:48:51",
"content": "Results provided by WolframAlpha",
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},
{
"id": 990116376561741800,
"author_id": 983597597786783900,
"author_name": "BenJr",
"timestamp": "06/25/2022 00:48:59",
"content": "Play around with this.",
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},
{
"id": 990118949117132800,
"author_id": 363169056804569100,
"author_name": "CalicoJackRackham",
"timestamp": "06/25/2022 00:59:12",
"content": ".close",
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"id": 990118950782242800,
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 00:59:13",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
e5e674d2d01a45d288ad56bb44cf0296
|
196,813 |
[
{
"id": 990120710582206500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 01:06:12",
"content": "Available help channel!",
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},
{
"id": 990124432875987000,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:21:00",
"content": "Given a circle (O; R). From point A on O draw tangent D to O. On line D take any point M (M other than A), draw secant MNP\nThis is how I draw",
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"timestamp": "06/25/2022 01:21:00",
"content": "Pinned a message.",
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"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:21:02",
"content": "The problem is, am I draw it correctly",
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},
{
"id": 990124712136953900,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:22:07",
"content": "I think M will be on line AD?",
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{
"id": 990124796203380700,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:22:27",
"content": "hmm",
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{
"id": 990124851547230200,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:22:40",
"content": "the question is quite weird with wording",
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},
{
"id": 990124888637456400,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:22:49",
"content": "so the tangent line will be called D",
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},
{
"id": 990124892483641300,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:22:49",
"content": "Yeah I know",
"attachments": [],
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},
{
"id": 990124934867087500,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:23:00",
"content": "because the question is from another country",
"attachments": [],
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},
{
"id": 990125232138383400,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:24:10",
"content": "so I confused the part it say draw any point at D",
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},
{
"id": 990125259153891300,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:24:17",
"content": "what exactly is N?",
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},
{
"id": 990125334135443500,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:24:35",
"content": "a point on the circle?",
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},
{
"id": 990125390779519000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:24:48",
"content": "same with P",
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},
{
"id": 990125418071863300,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 01:24:55",
"content": "they were never mentioned in the question other than the end",
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},
{
"id": 990125504990433300,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:25:16",
"content": "let me give more sentence to the question",
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},
{
"id": 990125574372614100,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:25:32",
"content": "I think it will be weird when I translate it",
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},
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"id": 990125944666718200,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:27:00",
"content": "Call \"K\" be the midpoint of NP",
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},
{
"id": 990126004435550200,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:27:15",
"content": "Maybe I just draw it wrong...",
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},
{
"id": 990126267305185300,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:28:17",
"content": "oh yeah I noticed the wrong one",
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},
{
"id": 990126406753189900,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:28:51",
"content": "thanks doge :)",
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},
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"id": 990126415443820700,
"author_id": 770287131359707300,
"author_name": "woge",
"timestamp": "06/25/2022 01:28:53",
"content": ".close",
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},
{
"id": 990126417574510600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 01:28:53",
"content": "Channel closed",
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}
] |
help-9
|
b982bb1c96be47cebe406b420f8dcba9
|
196,814 |
[
{
"id": 990189101632344000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 05:37:58",
"content": "Available help channel!",
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{
"id": 990191262982369300,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:46:33",
"content": "I want to convert this to the first binomial formula: \n`2(x^2 + 6x) + 1`\nThe result is supposed to be: `2(x^2 + 2 * 3x) + 1`\n\nDoes anyone know why this is the case and what a & b is in my base function?",
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"content": "Pinned a message.",
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"id": 990191596786044900,
"author_id": 390517910981967900,
"author_name": "jordgubbe",
"timestamp": "06/25/2022 05:47:53",
"content": "Are you for real",
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},
{
"id": 990191601026494500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 05:47:54",
"content": "wdym by \n> first binomial formula",
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},
{
"id": 990191653937619100,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:48:07",
"content": "Dont know what its called in english",
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},
{
"id": 990191672853938200,
"author_id": 390517910981967900,
"author_name": "jordgubbe",
"timestamp": "06/25/2022 05:48:11",
"content": "6 = 2 * 3",
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},
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"id": 990191679824871400,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:48:13",
"content": "wait a second",
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{
"id": 990191703426224100,
"author_id": 390517910981967900,
"author_name": "jordgubbe",
"timestamp": "06/25/2022 05:48:18",
"content": "6x = 2*3x",
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},
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"id": 990191733960741000,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:48:26",
"content": "aRe yOu fOr rEaL",
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"id": 990191742919770100,
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"timestamp": "06/25/2022 05:48:28",
"content": "yes",
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"id": 990191748951179400,
"author_id": 390517910981967900,
"author_name": "jordgubbe",
"timestamp": "06/25/2022 05:48:29",
"content": "Solved",
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},
{
"id": 990191976412479500,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:49:24",
"content": "",
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{
"id": 990191975846281200,
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"fileName": "unknown.png",
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"id": 990192011925663700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:49:32",
"content": "didnt find the English article sorry",
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},
{
"id": 990192492664221700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 05:51:27",
"content": "> 2(x^2 + 2 * 3x) + 1\nit is a bit unlikely that that would be the final answer to a question",
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},
{
"id": 990192743991095300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 05:52:27",
"content": "do you have the exact instructions of what you're being asked to do",
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},
{
"id": 990192847061938200,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:52:51",
"content": "Yeah but they are in german wait a second",
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{
"id": 990192976217145300,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 05:53:22",
"content": "",
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{
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"id": 990193007770865700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:53:29",
"content": "What do you call that point?",
"attachments": [],
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},
{
"id": 990193024334200800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:53:33",
"content": "vertex",
"attachments": [],
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},
{
"id": 990193063320240100,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:53:43",
"content": "Alright thanks",
"attachments": [],
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},
{
"id": 990193267121455200,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:54:31",
"content": "I need to get the Vertex",
"attachments": [],
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},
{
"id": 990193417973801000,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:55:07",
"content": "This is what I have",
"attachments": [],
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},
{
"id": 990193423229255700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:55:09",
"content": "",
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{
"id": 990193422625304600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/990193422625304629/unknown.png",
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"id": 990193558952759400,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:55:41",
"content": "So I did this:",
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"id": 990193583850160100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:55:47",
"content": "so far so good",
"attachments": [],
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},
{
"id": 990193677756403700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:56:09",
"content": "and now I am supposed to convert that to the first binomial formula (or whatever its called)",
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},
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"id": 990193700695048300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:56:15",
"content": "now add and subtract 9 in the parentheses, so that you have 2(x^2 + 6x + 9 - 9) + 1",
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{
"id": 990193732747927600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:56:22",
"content": "x^2+6x+9 = (x+3)^2",
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},
{
"id": 990193944275066900,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:57:13",
"content": "Why 9 exactly?",
"attachments": [],
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},
{
"id": 990194215977906200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:58:18",
"content": "you want something of the form (x+b)^2, which expands to x^2 + 2bx + b^2",
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},
{
"id": 990194269606256600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 05:58:30",
"content": "your linear term is 6x so 2b = 6, thus b=3",
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},
{
"id": 990194554097508500,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 05:59:38",
"content": "ohh I see",
"attachments": [],
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},
{
"id": 990194597256900700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 05:59:48",
"content": "because its `2 * a * b`",
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},
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"id": 990194661433954300,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:00:04",
"content": "since a = x",
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"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:00:06",
"content": "b must be 3",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:00:12",
"content": "so basically 2 * x * 3",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:02:09",
"content": "and 3^2 is 9",
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"timestamp": "06/25/2022 06:05:31",
"content": ", rotate",
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"author_name": "TeXit",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:05:47",
"content": "now I know what a and b is",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:06:06",
"content": "so why do you do `2(x^2 + 6x + 9 - 9) + 1` +9 -9?",
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:07:21",
"content": "the extra +9 - 9 at the end is unecessary",
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"id": 990196552704348200,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:07:35",
"content": "I mean it makes the +9 disappear so",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:07:48",
"content": "unless i'm misinterpreting what you said",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:07:54",
"content": "I get where the +9 comes from",
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"id": 990196657910079500,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:08:00",
"content": "but where does the -9 come from",
"attachments": [],
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"id": 990196774876627000,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:08:28",
"content": "doing + 9 - 9\nis effectively adding 0 and doesn't change the value of your expression",
"attachments": [],
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"id": 990196837623414800,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:08:43",
"content": "I get that but wont that change the whole function?",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:08:43",
"content": "whereas +9 would change its value (which isn't valid)",
"attachments": [],
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"id": 990196910063226900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:09:00",
"content": "> doing + 9 - 9\n> is effectively adding 0",
"attachments": [],
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},
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"id": 990197057379770400,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:09:35",
"content": "So why am I allowed to just \"remove\" the +9 and how do I know which term I need to remove?",
"attachments": [],
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"id": 990197077378220200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:09:40",
"content": "wdym",
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"id": 990197092133773300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:09:43",
"content": "remove the +9",
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},
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"id": 990197140494123000,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:09:55",
"content": "I remove it by subtracting -9 so it becomes 0",
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},
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"id": 990197205451292700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:10:10",
"content": "you're doing +9 - 9 within a single step",
"attachments": [],
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"id": 990197233968361500,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:10:17",
"content": "Yeah but why do I remove the +9 and not the 6x for example?",
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"id": 990197269334732800,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:10:25",
"content": "How do I know what to remove",
"attachments": [],
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},
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"id": 990197310581522400,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:10:35",
"content": "I hope that makes sense 😅",
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"id": 990197364998422500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:10:48",
"content": "consider the binomial expansion",
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"id": 990197426717605900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:11:03",
"content": "9 is the value that \"completes the square\" for x^2 + 6x",
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},
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"id": 990197616648273900,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:11:48",
"content": "$\\underbrace{x^2 + 6x \\red{ + 9}}_{(x+3)^2} - 9$",
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"id": 990197632603394000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 06:11:52",
"content": "**ℝamonov**",
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"timestamp": "06/25/2022 06:12:50",
"content": "9 - 9 = 0 that's why",
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"id": 990197916327104500,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:13:00",
"content": "> doing + 9 - 9\n> is effectively adding 0 and doesn't change the value of your expression",
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},
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"id": 990198070702661600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/25/2022 06:13:37",
"content": "not sure what you don't understand in that",
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"id": 990198348994732000,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:14:43",
"content": "I get it now",
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"id": 990198352748617700,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:14:44",
"content": "you want to make sure that the overall value of your expression is unchanged\nand/or your equation is equivalent to what you started with",
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"id": 990198417408008200,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:14:59",
"content": "if you add 9 and then subtract something completely different",
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"id": 990198433275068400,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:15:03",
"content": "you aren't adding 0",
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"id": 990198454020079600,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:15:08",
"content": "Its just hard to explain since I am not used to the English math terms",
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"id": 990198471535513600,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:15:12",
"content": "and would change what you have",
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"id": 990198472995135500,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:15:12",
"content": "Yeah I get that",
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"id": 990198564695204000,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:15:34",
"content": "I get that +9-9 = 0 and that 0 doesnt change our expression",
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"id": 990199296580288500,
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:18:29",
"content": "I just dont get why the binomular formular wants me to do this",
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"content": "",
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"timestamp": "06/25/2022 06:18:35",
"content": "If I have to remove it again anway",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:19:05",
"content": "I know that that's a stupid thing to say because this formula is probably used for different things as well",
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"id": 990200190822645800,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:22:02",
"content": "the current goal seems to convert your equation to vertex form",
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"id": 990200288948396000,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:22:25",
"content": "$$f(x) = a(x-h)^2 + k$$\nwhich would allow you to easily identify the vertex",
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"id": 990200300717637600,
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"author_name": "TeXit",
"timestamp": "06/25/2022 06:22:28",
"content": "**ℝamonov**",
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"timestamp": "06/25/2022 06:22:36",
"content": "yeah",
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:23:48",
"content": "after doing + 9 - 9 for the stuff inside the parentheses you'll have\n$$f(x) = 2(\\underbrace{\\blue{x^2+ 6x + 9}}_{(x+3)^2} - 9) + 1$$\n$$f(x) = 2((x+3)^2 - 9) + 1$$",
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"id": 990200944295833600,
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"author_name": "TeXit",
"timestamp": "06/25/2022 06:25:02",
"content": "**ℝamonov**",
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:25:34",
"content": "and then distribute the 2 and simplify\n(don't expand the (x+3)^2)",
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"id": 990201393275076600,
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"author_name": "ramonov",
"timestamp": "06/25/2022 06:26:49",
"content": "the binomial formula is just what you can consider to determine what to add and subtract when completing the square",
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 06:37:36",
"content": "@Timmmy Has your question been resolved?",
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"author_name": "Timmmy",
"timestamp": "06/25/2022 06:39:26",
"content": "Thanks for your help guys",
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},
{
"id": 990204586138697700,
"author_id": 127897542426886140,
"author_name": "Timmmy",
"timestamp": "06/25/2022 06:39:30",
"content": ".close",
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},
{
"id": 990204587984158800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 06:39:30",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f4e9244053614e6bb32e7b5e09c484a8
|
196,815 |
[
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"id": 958141247636250600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 19:11:14",
"content": "Available help channel!",
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},
{
"id": 958146462678679600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 19:31:58",
"content": "Pinned a message.",
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"author_id": 321445119171756000,
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"timestamp": "03/28/2022 19:34:23",
"content": "no",
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"author_name": "Astra",
"timestamp": "03/28/2022 19:35:33",
"content": "uh okay",
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},
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"id": 958147459224330200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 19:35:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
361daa1675e84e16aa63a9d320180d4b
|
196,816 |
[
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"id": 990204840502243300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 06:40:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 990208403592843300,
"author_id": 586297444434706400,
"author_name": "dootud",
"timestamp": "06/25/2022 06:54:40",
"content": "i’m wondering if anyone can walk me through this question",
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"content": "Pinned a message.",
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"author_id": 586297444434706400,
"author_name": "dootud",
"timestamp": "06/25/2022 06:54:45",
"content": "tbh idek where to start with it",
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},
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"id": 990209697338499100,
"author_id": 282965984703414270,
"author_name": "Tsuwako",
"timestamp": "06/25/2022 06:59:49",
"content": "Try to consider what having an horizontal tangent to y means in terms of the derivative of y",
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},
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"id": 990209919531774000,
"author_id": 586297444434706400,
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"timestamp": "06/25/2022 07:00:42",
"content": "just started the topic so i’m kinda clueless",
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"author_name": "dootud",
"timestamp": "06/25/2022 07:01:00",
"content": "but i’m guessing it’s just that it would have gradient of 0",
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"timestamp": "06/25/2022 07:01:13",
"content": "(probably misunderstanding u)",
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"id": 990210782383984600,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "06/25/2022 07:04:07",
"content": "So the derivative equals?",
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 07:16:14",
"content": "@dootud Has your question been resolved?",
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"author_name": "Tsuwako",
"timestamp": "06/25/2022 07:22:26",
"content": "Yes that's what you are looking for because the slope of an horizontal tangent is equal to 0",
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"author_name": "Tsuwako",
"timestamp": "06/25/2022 07:28:15",
"content": "The derivative of a function f at a given point x0 gives you the slope of the tangent line passing by x0",
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"author_name": "Tsuwako",
"timestamp": "06/25/2022 07:30:28",
"content": "And the gradient function gives the slope of a function at any single point on its curve",
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"timestamp": "06/25/2022 07:31:14",
"content": "Channel closed",
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] |
help-9
|
b4c4468129ad4967bfa123c19b82bbcd
|
196,817 |
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"id": 990223133489393700,
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 07:53:12",
"content": "Available help channel!",
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"id": 990225588390346800,
"author_id": 315241115370651650,
"author_name": "killereks",
"timestamp": "06/25/2022 08:02:57",
"content": "Can someone explain to me what does C calculate? (These are dot products)",
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"content": "Pinned a message.",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:03:32",
"content": "From my understanding bottom yields distance squared, so C would be percentage value for how far V is to A->B?",
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"author_name": "homme",
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"content": "Isn’t that the projection of av onto ab",
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"timestamp": "06/25/2022 08:11:30",
"content": "ye i think so",
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"timestamp": "06/25/2022 08:11:48",
"content": "I'm trying to get intuitive reasoning for this",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:12:02",
"content": "so im comfortable with dot products, but projection is still a little bit iffy for me",
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"timestamp": "06/25/2022 08:12:13",
"content": "Scalar product is pretty weird imo, i have no idea what it means",
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"timestamp": "06/25/2022 08:12:42",
"content": "The projection of AV onto AB is the how much of AV is over AB",
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"author_name": "homme",
"timestamp": "06/25/2022 08:13:04",
"content": "Imagine you shined a light from the bottom of the page upwards, the shadow from AV onto AB would be the projection",
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"timestamp": "06/25/2022 08:14:32",
"content": "Does that make sense",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:19:05",
"content": "yea it does",
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"timestamp": "06/25/2022 08:19:49",
"content": "but why is it distance squared",
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"timestamp": "06/25/2022 08:19:54",
"content": "I think C should be multiplied by AB",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:19:57",
"content": "so i get the Dot(AV,AB) part",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:20:07",
"content": "but why does dividing by distance squared give me a percentage",
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"id": 990230151688228900,
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"author_name": "homme",
"timestamp": "06/25/2022 08:21:05",
"content": "the projection of AV onto AB is (AV.AB/AB.AB)AB because it’s a vector",
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"author_name": "homme",
"timestamp": "06/25/2022 08:21:58",
"content": "So yeah C is just a scale factor",
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"author_name": "homme",
"timestamp": "06/25/2022 08:22:10",
"content": "What’s your understanding of the dot product",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:22:59",
"content": "so I know it projects a vector onto a line, it is essentially a cosine, and that it's a percentage of how two similar vectors are (i.e. gives u an angle)",
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"timestamp": "06/25/2022 08:24:10",
"content": "hmm",
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"timestamp": "06/25/2022 08:24:40",
"content": "wait i think it just clicked",
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"timestamp": "06/25/2022 08:24:47",
"content": "so dot product gives distance squared",
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"author_name": "killereks",
"timestamp": "06/25/2022 08:24:53",
"content": "so to normalize u need to divide it by distance squared",
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"author_id": 315241115370651650,
"author_name": "killereks",
"timestamp": "06/25/2022 08:25:25",
"content": "thank you!!",
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"id": 990231295550431200,
"author_id": 315241115370651650,
"author_name": "killereks",
"timestamp": "06/25/2022 08:25:38",
"content": ".close",
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"content": "Channel closed",
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help-9
|
391d573a3869494ea5da0b867774169e
|
196,818 |
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"timestamp": "06/25/2022 08:25:53",
"content": "Not sure how i helped but ur welcome lol",
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"content": "projection visualisation helped",
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"id": 990241144778653700,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:04:46",
"content": "anyone know how to write dz/dt in the calculator? I got the z and t value. What does the d mean or stand for? And how do i write it in a calc?",
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"content": "Pinned a message.",
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"timestamp": "06/25/2022 09:19:46",
"content": "@Nurium Has your question been resolved?",
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"id": 990244955794591900,
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"timestamp": "06/25/2022 09:19:55",
"content": "@Helpers",
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"id": 990250249996083200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:40:57",
"content": "you need a fairly advanced calculator for symbolic computations of this kind",
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"id": 990250274708942800,
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"timestamp": "06/25/2022 09:41:03",
"content": "you can't do it on a regular calculator",
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"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:41:23",
"content": "the course doesnt say we need that i think hmm",
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"id": 990250369454071800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:41:26",
"content": "you haven't shared the equation in question with us, but whatever it is,",
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"id": 990250386667475000,
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"timestamp": "06/25/2022 09:41:30",
"content": "you need to know how to take derivatives",
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"id": 990250405189521400,
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"author_name": "Nurium",
"timestamp": "06/25/2022 09:41:34",
"content": "ok 🙂",
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"id": 990250420096090100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:41:38",
"content": "if you don't know how to take derivatives then you can't do this problem",
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"id": 990250489478262900,
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"author_name": "Nurium",
"timestamp": "06/25/2022 09:41:54",
"content": "we should have read all the math you need for this course",
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"id": 990250513096388600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:42:00",
"content": "its just that im not that good with the words etc",
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"id": 990250562580791300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:42:12",
"content": "especially not in english",
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"author_name": "Nurium",
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"content": "",
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"id": 990251097903992800,
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"timestamp": "06/25/2022 09:44:19",
"content": "right",
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"id": 990251164530536400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:44:35",
"content": "i remember walking you through rewriting that equation as $z = \\frac{gt^2}{2}$",
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"id": 990251174240342000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 09:44:37",
"content": "**Ann**",
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"author_name": "Nurium",
"timestamp": "06/25/2022 09:45:06",
"content": "how do i write that in google calc i dont really get what \\frac means",
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"id": 990251607163822200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:46:21",
"content": "look at the image the bot sent, not at my LaTeX code...",
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"id": 990251631675318300,
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"author_name": "Ann",
"timestamp": "06/25/2022 09:46:26",
"content": "`\\frac` is the LaTeX command to make a fraction.",
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"id": 990251638545612800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:46:28",
"content": "oh 😛",
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"id": 990251743218651100,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:46:53",
"content": "thats the equation over dz/dt",
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"id": 990251754987847700,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:46:56",
"content": "isnt it?",
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"id": 990251814509244400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:10",
"content": "no",
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"id": 990251856682942500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:20",
"content": "\"the equation over dz/dt\" doesnt make sense",
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},
{
"id": 990251867047096300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:23",
"content": "like",
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},
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"id": 990251868741599200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:23",
"content": "ok",
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},
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"id": 990251920046297100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:35",
"content": "let me just ask it straight",
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{
"id": 990251950266253300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:47:42",
"content": "do you know what a derivative is",
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},
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"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:48:01",
"content": "",
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"timestamp": "06/25/2022 09:48:18",
"content": "thats the one you are writing",
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},
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"id": 990252140763168800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:48:28",
"content": "im looking to understand the dz/dt",
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},
{
"id": 990252168172929000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:48:34",
"content": "answer my question",
"attachments": [],
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},
{
"id": 990252226226290700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:48:48",
"content": "do you know what a derivative is, yes or no",
"attachments": [],
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},
{
"id": 990252249915732100,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:48:54",
"content": "i think i do but i dont know the english word",
"attachments": [],
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},
{
"id": 990252271273148400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:48:59",
"content": "what's your native language?",
"attachments": [],
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},
{
"id": 990252295029686300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:49:05",
"content": "i think i know the math but not the words",
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},
{
"id": 990252317532123100,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:49:10",
"content": "swedish 🙂",
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},
{
"id": 990252383105867900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:49:26",
"content": "`derivata`",
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},
{
"id": 990252553855979500,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:50:06",
"content": "yeah i guess ill check some youtube videos about it i thought there was a simple explaination on how to write it in calc but you say i should need a expert calc but course says i shouldnt",
"attachments": [],
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},
{
"id": 990252627042373600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:50:24",
"content": "this is not the kind of problem that should be done with a caclulator",
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},
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"id": 990252634554368100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/25/2022 09:50:26",
"content": "calculator*",
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},
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"id": 990252669681668100,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:50:34",
"content": "oh okey",
"attachments": [],
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},
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"id": 990252714187456500,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:50:45",
"content": "i watch some derivata videos maybe ill get some clues 🙂 thanks!",
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},
{
"id": 990253649798254600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:54:28",
"content": "but how should i give an answer if i shouldnt calculate anything xD",
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},
{
"id": 990254373479284700,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:57:20",
"content": "found a good video it seems",
"attachments": [],
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},
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"id": 990254377660985300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:57:21",
"content": "https://www.youtube.com/watch?v=-kbk_UQPR1U",
"attachments": [],
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},
{
"id": 990254871649337300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 09:59:19",
"content": "that made me just confused xD",
"attachments": [],
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},
{
"id": 990256089369038800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:04:09",
"content": "a little help how to approach it would be helpful",
"attachments": [],
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},
{
"id": 990258700801441900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:14:32",
"content": "watched a derivate intro vid but still not 100% sure.",
"attachments": [],
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},
{
"id": 990259183251251300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:16:27",
"content": "150/5?",
"attachments": [],
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},
{
"id": 990261681722650600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:26:23",
"content": "@Helpers rs",
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},
{
"id": 990262175706804200,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:28:20",
"content": "dz/dt = z_2 - z_1 / t_2 - t_1",
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},
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"id": 990262186398076900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:28:23",
"content": "?",
"attachments": [],
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},
{
"id": 990262553139634300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:29:50",
"content": "still not sure",
"attachments": [],
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},
{
"id": 990263259187789800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:32:39",
"content": "0.21-0.04 / 0.19-0.09 = -0.09",
"attachments": [],
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},
{
"id": 990263615561015400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:34:04",
"content": "doesnt seem right",
"attachments": [],
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"reference": null
},
{
"id": 990268544723857500,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 10:53:39",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 990270540482748500,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 11:01:35",
"content": "150-0.04 / 5-0.09 = 149.902",
"attachments": [],
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},
{
"id": 990276936767012900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 11:27:00",
"content": "any1 wanna help much appreciated",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990278841211699300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/25/2022 11:34:34",
"content": "Do you know derivatives?",
"attachments": [],
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},
{
"id": 990278943158448100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/25/2022 11:34:58",
"content": "This is the approximation to derivatives",
"attachments": [],
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},
{
"id": 990283077538427000,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 11:51:24",
"content": "@riemann i trying to learn",
"attachments": [],
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},
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"id": 990283134358675500,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 11:51:37",
"content": "but think someone walking me through the solutioin would help",
"attachments": [],
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},
{
"id": 990285708088447100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/25/2022 12:01:51",
"content": "Learn what",
"attachments": [],
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},
{
"id": 990285732948086900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:01:57",
"content": "how to solve the question",
"attachments": [],
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"reference": null
},
{
"id": 990285776166207500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/25/2022 12:02:07",
"content": "Have you gone through videos/textbook on derivatives already?",
"attachments": [],
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"reference": null
},
{
"id": 990285795367727200,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:02:12",
"content": "yup",
"attachments": [],
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},
{
"id": 990285815924006900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:02:17",
"content": "i can show",
"attachments": [],
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},
{
"id": 990285874098995300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:02:31",
"content": "i think this one will be really helpful for me",
"attachments": [],
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"reference": null
},
{
"id": 990285877538345000,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:02:31",
"content": "https://www.youtube.com/watch?v=2ooWs_8hzxQ",
"attachments": [],
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},
{
"id": 990285901945008100,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:02:37",
"content": "but still a bit clueless",
"attachments": [],
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},
{
"id": 990286111517585500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/25/2022 12:03:27",
"content": "Go through this instead\nhttps://www.khanacademy.org/math/differential-calculus/dc-diff-intro",
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},
{
"id": 990286139447459800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 12:03:34",
"content": "ok thx 🙂",
"attachments": [],
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},
{
"id": 990293690020937900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 12:33:34",
"content": "@Nurium Has your question been resolved?",
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"timestamp": "06/25/2022 13:03:34",
"content": "Channel closed",
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}
] |
help-9
|
7b7b04146c5c4998b95236e3fd3c4a6b
|
196,819 |
[
{
"id": 990301494374973400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 13:04:35",
"content": "Available help channel!",
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},
{
"id": 990302713608826900,
"author_id": 839219429363417100,
"author_name": "at_0987",
"timestamp": "06/25/2022 13:09:25",
"content": "how is the outcome 𝜋 ⋅ (9 ln(2) +7,5). I dont get where the 6x2 + 0,5x4 goes",
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"content": "Pinned a message.",
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"author_name": "at_0987",
"timestamp": "06/25/2022 13:09:46",
"content": "and how would it be a + shouldnt it be a - instead?",
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{
"id": 990303050415620100,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/25/2022 13:10:46",
"content": "simplify it yourself",
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"id": 990303110184464400,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/25/2022 13:11:00",
"content": "you'll get the same ans",
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"id": 990303299834118100,
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"content": "(9 ln(2) + 14) + 7,5 i would get",
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{
"id": 990303412463755400,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/25/2022 13:12:12",
"content": "are you sure?",
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{
"id": 990303466352173000,
"author_id": 839219429363417100,
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"timestamp": "06/25/2022 13:12:25",
"content": "(9 ln(2) + 14) + 6,5*",
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{
"id": 990303522727821300,
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"timestamp": "06/25/2022 13:12:38",
"content": "it should be ``-`` btw",
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"id": 990303556152213500,
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"timestamp": "06/25/2022 13:12:46",
"content": "and 14 - 6,5 = 7,5",
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"id": 990303681842925600,
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"timestamp": "06/25/2022 13:13:16",
"content": "awh ok thx",
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"author_id": 839219429363417100,
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"timestamp": "06/25/2022 13:13:32",
"content": "i wrote it wrong on paper thats why i got confused",
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"id": 990303880975900700,
"author_id": 839219429363417100,
"author_name": "at_0987",
"timestamp": "06/25/2022 13:14:04",
"content": ".close",
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"timestamp": "06/25/2022 13:14:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7f8a4e31c09047bdbc06939c18fb5cce
|
196,820 |
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"timestamp": "06/25/2022 13:23:09",
"content": "Available help channel!",
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},
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"id": 990308721320136700,
"author_id": 866794957784481800,
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"content": "help",
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"timestamp": "06/25/2022 13:33:38",
"content": "i think its 16 bcz its given but i dont think it will be that easy can someone correct me",
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"timestamp": "06/25/2022 13:34:47",
"content": "this thing",
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"id": 990309098895577200,
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"author_name": "milkman",
"timestamp": "06/25/2022 13:34:48",
"content": "OH",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:34:54",
"content": "wait so how would i solve it",
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"content": "is ther eformula",
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"content": "Also I think it's the angle of the arc not the length they are asking for right?",
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"content": "it says masure",
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"timestamp": "06/25/2022 13:36:52",
"content": "so i think yea",
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"content": "*measure",
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"content": "so how do i solve it",
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"timestamp": "06/25/2022 13:39:01",
"content": "examine the picture closely",
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"content": "?",
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"timestamp": "06/25/2022 13:40:00",
"content": "nvm",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:41:29",
"content": "srry i was in restroom",
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"timestamp": "06/25/2022 13:41:45",
"content": "so",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:41:48",
"content": "how do i get it",
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"timestamp": "06/25/2022 13:41:53",
"content": "is there formula",
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"timestamp": "06/25/2022 13:41:54",
"content": "",
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"timestamp": "06/25/2022 13:41:56",
"content": "examine picture closely",
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"timestamp": "06/25/2022 13:42:00",
"content": "wait",
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"timestamp": "06/25/2022 13:42:06",
"content": "the other arc is 108",
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"timestamp": "06/25/2022 13:42:08",
"content": "OH",
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"author_name": "MarveI",
"timestamp": "06/25/2022 13:42:09",
"content": "but i doubt that's the answer tbh",
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"timestamp": "06/25/2022 13:42:12",
"content": "it's too easy",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:42:15",
"content": "Notice how AB and CD have the same length",
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"timestamp": "06/25/2022 13:42:21",
"content": "its 108",
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"timestamp": "06/25/2022 13:42:27",
"content": "it says its right",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:42:35",
"content": "Can you form triangles AOB and COD?",
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"timestamp": "06/25/2022 13:43:00",
"content": "i got it already",
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"timestamp": "06/25/2022 13:43:31",
"content": "Yeah basically they are congruent triangles",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:43:37",
"content": "can u help with this",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:43:43",
"content": "it dosnt give me any values so idk where to start",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:43:56",
"content": "OC = AC",
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"author_name": "MarveI",
"timestamp": "06/25/2022 13:44:03",
"content": "45 45 90 triangle?",
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"timestamp": "06/25/2022 13:44:14",
"content": "Yes",
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"author_name": "MarveI",
"timestamp": "06/25/2022 13:44:33",
"content": "is AC = CB ?",
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"timestamp": "06/25/2022 13:45:31",
"content": "Yes!",
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"timestamp": "06/25/2022 13:45:37",
"content": "wait",
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"id": 990311835360194700,
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"timestamp": "06/25/2022 13:45:40",
"content": "slow down",
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"timestamp": "06/25/2022 13:45:44",
"content": "ik OC=AC",
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"timestamp": "06/25/2022 13:45:44",
"content": "Wait",
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"id": 990311860018503800,
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"timestamp": "06/25/2022 13:45:46",
"content": "No",
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"timestamp": "06/25/2022 13:45:52",
"content": "its isosceles",
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"timestamp": "06/25/2022 13:46:07",
"content": "so AB=2AC",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:46:14",
"content": "For a second I thought AO = AC",
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"timestamp": "06/25/2022 13:46:26",
"content": "you sure?",
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"timestamp": "06/25/2022 13:46:40",
"content": "wait nvm",
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"content": "",
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"timestamp": "06/25/2022 13:47:14",
"content": "so how do i find AB if theres no numbers",
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"timestamp": "06/25/2022 13:47:24",
"content": "^^^",
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"author_name": "MarveI",
"timestamp": "06/25/2022 13:47:48",
"content": "or just...",
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"timestamp": "06/25/2022 13:48:40",
"content": "It is right?",
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"timestamp": "06/25/2022 13:48:49",
"content": "ig so",
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"timestamp": "06/25/2022 13:48:53",
"content": "O stands for origin, my teacher said or something i forgot maybe its not",
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"timestamp": "06/25/2022 13:49:01",
"content": "which is center usually",
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"timestamp": "06/25/2022 13:49:43",
"content": "So m<AB = 90°",
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"timestamp": "06/25/2022 13:50:17",
"content": "HUH",
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"timestamp": "06/25/2022 13:50:21",
"content": "ab is a line tho",
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"timestamp": "06/25/2022 13:50:35",
"content": "It says measure of arc AB",
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"timestamp": "06/25/2022 13:50:43",
"content": "uh huh",
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"timestamp": "06/25/2022 13:50:44",
"content": "so",
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"timestamp": "06/25/2022 13:50:49",
"content": "how is arc AB=90",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:51:43",
"content": "Didn't you get m<AB = 108° the previous one?",
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"author_name": "Diesel",
"timestamp": "06/25/2022 13:52:03",
"content": "So you musk know why it's not the line they are asking for",
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"timestamp": "06/25/2022 13:52:34",
"content": "ok",
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"timestamp": "06/25/2022 13:52:47",
"content": "can u explain why its 90",
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"timestamp": "06/25/2022 13:52:58",
"content": "why isnt it 180 tho since its more of a line then a angle",
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"timestamp": "06/25/2022 13:54:16",
"content": "According to perpendicular chord bisection AC = CB as @MarveI rightfully mentioned",
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"timestamp": "06/25/2022 13:54:43",
"content": "Now we know it is a 45 45 90 triangle so AOC is 45",
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"timestamp": "06/25/2022 13:54:53",
"content": "COB is also 45",
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"timestamp": "06/25/2022 13:55:01",
"content": "OH",
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"id": 990314192747782300,
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"timestamp": "06/25/2022 13:55:02",
"content": "OH",
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"timestamp": "06/25/2022 13:55:05",
"content": "ITS LIKE THAT",
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"timestamp": "06/25/2022 13:55:07",
"content": "OHHHHHHHHHHHHHHHHH",
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"timestamp": "06/25/2022 13:55:09",
"content": "wait",
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"timestamp": "06/25/2022 13:55:11",
"content": "45+45 = AOB = m<AB",
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"timestamp": "06/25/2022 13:55:12",
"content": "but its angles tho",
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"timestamp": "06/25/2022 13:55:26",
"content": "Yes..",
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"timestamp": "06/25/2022 13:55:31",
"content": "oh",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:55:33",
"content": "it asked for measure",
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"id": 990314327728865300,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:55:34",
"content": "Didn't you not listen to what I said?",
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"author_name": "milkman",
"timestamp": "06/25/2022 13:55:36",
"content": "",
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"id": 990314353129553900,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:55:40",
"content": "i got it",
"attachments": [],
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},
{
"id": 990314358032695300,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:55:42",
"content": "Didn't you solve the first one ?",
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"id": 990314361878896600,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:55:43",
"content": "it said measure",
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"id": 990314370703691800,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:55:45",
"content": "yea",
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"id": 990314409622663200,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:55:54",
"content": "thanks sir",
"attachments": [],
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},
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"id": 990314412680282100,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:55:55",
"content": "So what's the confusion about angles?",
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"id": 990314578095263700,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:56:34",
"content": "nvm i got it",
"attachments": [],
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},
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"id": 990314698182377500,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 13:57:03",
"content": "what about this",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:58:48",
"content": "*sigh*",
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"id": 990315173640294400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:58:56",
"content": "Have you learned circle theorems?",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 13:59:28",
"content": "no",
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"id": 990315366385332400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 13:59:42",
"content": "Not asking you",
"attachments": [],
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"reference": null
},
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"id": 990315402225680400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 13:59:51",
"content": "_ _:)",
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"id": 990315532551094300,
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"author_name": "milkman",
"timestamp": "06/25/2022 14:00:22",
"content": "no",
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"id": 990315824038445000,
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"author_name": "Diesel",
"timestamp": "06/25/2022 14:01:31",
"content": "I suggest you go learn them first",
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"id": 990315904430645400,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:01:50",
"content": "wait",
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"id": 990315964170133500,
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"author_name": "milkman",
"timestamp": "06/25/2022 14:02:05",
"content": "my teacher was sick and a sub taught us and he didnt teach us the theorm pls teach me",
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"author_name": "Diesel",
"timestamp": "06/25/2022 14:02:52",
"content": "",
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"author_name": "milkman",
"timestamp": "06/25/2022 14:04:46",
"content": "i nee dot take notes 1 sec",
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"id": 990316749679386600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 14:05:12",
"content": "Just save this image lol",
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},
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"id": 990316785351921800,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:05:20",
"content": "idk how",
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},
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"id": 990316845619896300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:05:35",
"content": "click image, right click",
"attachments": [],
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},
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"id": 990316874208252000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:05:42",
"content": "save image",
"attachments": [],
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},
{
"id": 990317427730550800,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:07:53",
"content": "it didnt worjk",
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"id": 990317469161885800,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:08:03",
"content": "ima snip it to a word doc and then save it",
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},
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"author_name": "milkman",
"timestamp": "06/25/2022 14:09:59",
"content": "@Diesel this has 2 varibles tho",
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"timestamp": "06/25/2022 14:13:33",
"content": "@MarveI",
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"id": 990318979719516200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:14:04",
"content": "you can find p",
"attachments": [],
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"id": 990319043917541400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:14:19",
"content": "@milkman",
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"id": 990319111127052300,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:14:35",
"content": "how",
"attachments": [],
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},
{
"id": 990319179196399600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:14:51",
"content": "read the notes that diegoro gave you",
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},
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"id": 990319195524845600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:14:55",
"content": "this one",
"attachments": [],
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"id": 990319523523616800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:16:13",
"content": "the shape inside the circle is a quadrilateral btw",
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"id": 990319990563569700,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:05",
"content": "oh",
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"id": 990320000369819600,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:07",
"content": "since its line",
"attachments": [],
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},
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"id": 990320004534780000,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:08",
"content": "i got it",
"attachments": [],
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},
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"id": 990320016157179900,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:11",
"content": "",
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"id": 990320044275802100,
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"author_name": "milkman",
"timestamp": "06/25/2022 14:18:17",
"content": "p=180-58",
"attachments": [],
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"reference": null
},
{
"id": 990320062516846600,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:22",
"content": "=122",
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},
{
"id": 990320074768396400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:18:25",
"content": "...",
"attachments": [],
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"reference": null
},
{
"id": 990320084402708500,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:27",
"content": "9=90",
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},
{
"id": 990320093978320900,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:29",
"content": "*q=90",
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},
{
"id": 990320133937463300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:18:39",
"content": "read it again?",
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},
{
"id": 990320217345384600,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:18:59",
"content": "OPPSITE",
"attachments": [],
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},
{
"id": 990320234097418200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:19:03",
"content": "SI",
"attachments": [],
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},
{
"id": 990320250807537700,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:19:07",
"content": "p=90 and q=122",
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{
"id": 990320313705324700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:19:22",
"content": "si",
"attachments": [],
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},
{
"id": 990322965449179100,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:29:54",
"content": "thanks guys",
"attachments": [],
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},
{
"id": 990322990203961500,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:30:00",
"content": "or ma'ams",
"attachments": [],
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},
{
"id": 990323011607482400,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:30:05",
"content": "dont wanna assume gender",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990323030817394700,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/25/2022 14:30:09",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 990323032457371800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 14:30:10",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
de41c23d565f4b1fb9f0bd4d48435efb
|
196,821 |
[
{
"id": 990323273965387800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/25/2022 14:31:07",
"content": "bro, i identify as an apache attack helicopter",
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 14:31:10",
"content": "Available help channel!",
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"reference": null
},
{
"id": 990326976357220500,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:45:50",
"content": "Hey folks. I am trying to understand how to read this equivalence expression:",
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{
"id": 990326978232062000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 14:45:50",
"content": "Pinned a message.",
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}
},
{
"id": 990327023887081500,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:46:01",
"content": "𝑒⋅𝑑≡1(modlcm(𝑝−1,𝑞−1))",
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},
{
"id": 990327154225061900,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:46:32",
"content": "Is this correct? \n```\n //compute e * d and 1 mod (lcm(p-1, q-1))\n //confirm that e * d == 1 mod (lcm(p-1, q-1))\n```",
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},
{
"id": 990327197397057500,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:46:43",
"content": "where `lcm` is the Least Common Multiple",
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},
{
"id": 990327424849952900,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:47:37",
"content": "I am parsing an RSA private key and am confirming that the values extracted pass all of the math tests.",
"attachments": [],
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"reference": null
},
{
"id": 990327447633408000,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:47:42",
"content": "This is the only test that fails.",
"attachments": [],
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"reference": null
},
{
"id": 990327532786163700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/25/2022 14:48:03",
"content": "not sure why you do lcm for RSA",
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},
{
"id": 990327611576164400,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:48:21",
"content": "It comes from this:",
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},
{
"id": 990327656845295600,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:48:32",
"content": "I'm not sure how to read the 2nd one.",
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},
{
"id": 990327789712470000,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:49:04",
"content": "all values extracted pass all of those tests, except for this `e * d` test",
"attachments": [],
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},
{
"id": 990328171943563300,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:50:35",
"content": "what does the triple equals sign mean?",
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},
{
"id": 990328277832966300,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 14:51:00",
"content": "it means ed % lcm(...) == 1 % lcm(...)",
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},
{
"id": 990328377049227300,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:51:24",
"content": "ok, let me punch that into the code and confirm.",
"attachments": [],
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"reference": null
},
{
"id": 990328485807542300,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "06/25/2022 14:51:50",
"content": "e.g. $7 \\equiv 1\\ (\\text{mod } 2)$",
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"reference": null
},
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"id": 990328589616558100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 14:52:15",
"content": "**Doggo**",
"attachments": [
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"id": 990328722387271700,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:52:46",
"content": "Perfect!",
"attachments": [],
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"reference": null
},
{
"id": 990329092215828500,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:54:15",
"content": "```cpp\n //compute LCM=lcm(p-1, q-1), e * d\n //confirm that e * d mod (LCM) == 1 mod (LCM)\n auto ed( e * d );\n auto one = juce::BigInteger(1);\n auto lcm = computeLeastCommonMultiple(p - 1, q - 1);\n one.exponentModulo(1, lcm);\n ed.exponentModulo(1, lcm);\n jassert( ed.compare( one ) == 0 );\n if( ed.compare(one) != 0 )\n {\n DBG( \"failed math check: e * d mod (lcm(p-1, q-1)) == 1 mod (lcm(p-1, q-1))\" );\n jassertfalse;\n return false;\n }\n```",
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"id": 990329125317259300,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:54:22",
"content": "passes!",
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},
{
"id": 990329163825160200,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:54:32",
"content": "Thanks @Doggo",
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{
"id": 990329468432314500,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:55:44",
"content": "!close",
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"reference": null
},
{
"id": 990329495984693200,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:55:51",
"content": "er..",
"attachments": [],
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},
{
"id": 990329567115886600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/25/2022 14:56:08",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 990329568420311000,
"author_id": 352103992752341000,
"author_name": "matkatmusic",
"timestamp": "06/25/2022 14:56:08",
"content": "yeah, i'm not sure how to free up the channel",
"attachments": [],
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"reference": null
},
{
"id": 990329568923643900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 14:56:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5c38a129c8cc4e1b8216a3e418957df7
|
196,822 |
[
{
"id": 990329822288949400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 14:57:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 990333999094325200,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 15:13:44",
"content": "how to approach the scale?",
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},
{
"id": 990334001258569700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 15:13:45",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 990333999094325200,
"channelId": 486844875632017400,
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}
},
{
"id": 990334129486856200,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 15:14:15",
"content": "1cm = 5 × 10^8 = 500000000",
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},
{
"id": 990337905396445200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 15:29:16",
"content": "@Nurium Has your question been resolved?",
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"id": 990337948144779400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 15:29:26",
"content": "@Helpers s",
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},
{
"id": 990344367548018800,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 15:54:56",
"content": "So you set Neptune to be at 18 cm",
"attachments": [],
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},
{
"id": 990344430831693800,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 15:55:12",
"content": "So you go from what to what ?",
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},
{
"id": 990345063072690300,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 15:57:42",
"content": "From $9*10^9$ to $18$ cm, which is $18 \\times 10^{-2}$ m, which is $18 \\times 10^{-5}$ km, which is $1.8 \\times 10^{-4}$ km",
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},
{
"id": 990345307361529900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 15:58:41",
"content": "**Epsilia aka Mellow**",
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"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:00:03",
"content": "@Nurium",
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"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:00:39",
"content": "So we go from $9 \\times 10^9$ to $1.8 \\times 10^{-4}$",
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},
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"author_name": "TeXit",
"timestamp": "06/25/2022 16:00:42",
"content": "**Epsilia aka Mellow**",
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"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:02:09",
"content": "$\\frac{9 \\times 10^9}{1.8 \\times 10^{-4}}=$?",
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},
{
"id": 990346218884464800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 16:02:18",
"content": "**Epsilia aka Mellow**",
"attachments": [
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"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:02:19",
"content": "yes",
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},
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"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:02:30",
"content": "Your scale will then be this fraction",
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},
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"id": 990346304364347500,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:02:38",
"content": "A big number",
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},
{
"id": 990346386451087500,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:02:58",
"content": "That you can multiply 1 by, in order to get what you were searching for",
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},
{
"id": 990346448270929900,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:03:13",
"content": "i was doing this",
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"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:03:36",
"content": "hmm yeah thanks im gonna read what u write and think 1 sec now 😛",
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},
{
"id": 990346582820012000,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:03:45",
"content": "I went step by step here, but a simpler way to visualise it is by setting equations",
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{
"id": 990346986005872600,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:05:21",
"content": "\"Equations\"",
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},
{
"id": 990347062472233000,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:05:39",
"content": "dont understand exactly what u are doing but gon look at it",
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},
{
"id": 990347110320840800,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:05:50",
"content": "Because I've put it in a way that you would search the scaling factor",
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},
{
"id": 990347135566377100,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:05:56",
"content": "The thing is",
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},
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"id": 990347143590056100,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:05:58",
"content": "You don't have to",
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},
{
"id": 990347202129961000,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:06:12",
"content": "Look at that, this will be better for you",
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},
{
"id": 990347223005024300,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:06:17",
"content": "Sorry for the mess earlier",
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},
{
"id": 990347267691151400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:06:28",
"content": "ah np every input helps 😛",
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"id": 990347330240782500,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:06:43",
"content": "",
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"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:07:02",
"content": "I'll leave it to you for the scientific form lol",
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},
{
"id": 990347416433725600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:07:03",
"content": "true",
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},
{
"id": 990347508700049400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:07:25",
"content": "but i gotta get it to fit with the others",
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},
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"id": 990347612739760300,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:07:50",
"content": "Don't forget to put a number between 1 and 10 for the number multiplying the power of 10",
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},
{
"id": 990347688174317600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:08:08",
"content": "only watched the basics of scientific notation",
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},
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"id": 990347744713510900,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:08:22",
"content": "It's just for you to have a correct answer in the end lol",
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"id": 990347796223774700,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:08:34",
"content": "dont know what you mean haha 😛",
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},
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"id": 990347809519706100,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:08:37",
"content": "Vc would be more handy right now in order to explain",
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},
{
"id": 990347840339447800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:08:44",
"content": "Vc?",
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},
{
"id": 990347865220059100,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:08:50",
"content": "Voice call",
"attachments": [],
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},
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"id": 990347995285430400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:09:21",
"content": "i would be down if you want that but i might not understand what u mean xD",
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},
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"id": 990348000402485400,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:09:23",
"content": "i know not to ask for solution but i think it wil hlelp",
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},
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"id": 990348074251616300,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:09:40",
"content": "And that's super nice ! Thank you for that",
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"id": 990348116660211800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:09:50",
"content": "actually",
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},
{
"id": 990348147886813300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:09:58",
"content": "my math friend just called",
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},
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"id": 990348188651245600,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:10:07",
"content": "I'm totally down actually, I always prefer vc",
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},
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"id": 990348230892077000,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:10:18",
"content": "Well hoping he'll help",
"attachments": [],
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},
{
"id": 990348275204894800,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:10:28",
"content": "im speaking with my friend in swedish now lets see if he can make it but thanks so much",
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},
{
"id": 990348282016452600,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:10:30",
"content": "such timing haha",
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},
{
"id": 990348376077897700,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:10:52",
"content": "Well if you ever get stuck with him don't hesitate to come back there",
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},
{
"id": 990348411645591600,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:11:01",
"content": "Just ping me so that I know you came back",
"attachments": [],
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"reference": null
},
{
"id": 990348483179454500,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:11:18",
"content": "And if you've finished on your side just close this help channel",
"attachments": [],
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},
{
"id": 990348577450643500,
"author_id": 212562859262083070,
"author_name": "Epsilia aka Mellow",
"timestamp": "06/25/2022 16:11:40",
"content": "With a .close command",
"attachments": [],
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"reference": null
},
{
"id": 990348622249992300,
"author_id": 650885103660171300,
"author_name": "Nurium",
"timestamp": "06/25/2022 16:11:51",
"content": "yhx 😄",
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] |
help-9
|
c0eadfbc2fee4c258423cfea7ef4c3c0
|
196,823 |
[
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"id": 990367282788200400,
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"content": "Find all real x for $\\sqrt{x} + 1 = x - \\sqrt{x} - 1$.",
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"timestamp": "06/25/2022 17:31:04",
"content": ",w solutions to sqrt(x)+1 = x - sqrt(x) - 1",
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"content": "Ah, of course. One of those is an extraneous solution",
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"content": ".close",
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] |
help-9
|
9cc603a2887a4cfdb34b276a6be94bae
|
196,824 |
[
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 17:38:18",
"content": "Available help channel!",
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},
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"id": 990370600663011300,
"author_id": 332561465405866000,
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"timestamp": "06/25/2022 17:39:11",
"content": "How to see which one it is?",
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"content": "If I plug it into the original equation, I will have to square at some point to check if both sides hold the same value",
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"content": "and doing that, it will hold true for both x",
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"content": "$$x_1 = 4 + \\sqrt{12}$$\n$$x_2 = 4 - \\sqrt{12}$$",
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"timestamp": "06/25/2022 17:42:18",
"content": "Don't square it. That'll hide the extraneous value",
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"content": "The whole reason there's an extraneous value is because you had to square the equation in the first place",
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"content": "Channel closed",
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] |
help-9
|
b5f5834d9a92427c9d84dfbfb5402de2
|
196,825 |
[
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"author_id": 385462512272932860,
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"timestamp": "06/25/2022 18:53:43",
"content": "How to find length of r",
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"id": 990389664751956100,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 18:54:56",
"content": "I know AB+DC=AD+BC",
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},
{
"id": 990389729176453100,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 18:55:11",
"content": "But can I do something with that?",
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{
"id": 990391051346923500,
"author_id": 894596446899273700,
"author_name": "vsosu",
"timestamp": "06/25/2022 19:00:27",
"content": "idk",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 19:10:12",
"content": "@Nemanja Has your question been resolved?",
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"id": 990394965907620000,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:16:00",
"content": "How is this true?",
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"id": 990395161152487400,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:16:47",
"content": "Or is this given in the problem",
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"id": 990395794400088200,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:19:18",
"content": "If this is given in the problem, I can help you solve this.",
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},
{
"id": 990397715294875600,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:26:56",
"content": "That is tangential trapezoid",
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{
"id": 990398011593076700,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:28:06",
"content": "Aah right my bad",
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"id": 990399065550381000,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:32:17",
"content": "Well if I had known all the sides, it would have been easy",
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},
{
"id": 990399411576242300,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:33:40",
"content": "H= 2r and AD+BC=33",
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},
{
"id": 990399459789766700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:33:51",
"content": "But you know that",
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},
{
"id": 990399553213726800,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:34:14",
"content": "Whats H?",
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},
{
"id": 990399748496298000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:35:00",
"content": "Height",
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},
{
"id": 990399814762135700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:35:16",
"content": "Of trapezoid",
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},
{
"id": 990399863445401600,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:35:28",
"content": "You cant say H=2r",
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},
{
"id": 990399926737436700,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:35:43",
"content": "Why",
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},
{
"id": 990400049265664000,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:36:12",
"content": "You dont know if AB is parallel to CD",
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},
{
"id": 990400290710782000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:37:10",
"content": "Ok I don't know that",
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},
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"id": 990400576728727600,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:38:18",
"content": "AB and DC is bases",
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},
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"id": 990401090434523100,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:40:20",
"content": "Answer is 4√3",
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},
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"id": 990401358421172200,
"author_id": 568051302643531800,
"author_name": "naman",
"timestamp": "06/25/2022 19:41:24",
"content": "You managed to solve?",
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},
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"id": 990401593365127200,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:42:20",
"content": "No",
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},
{
"id": 990401708507136000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:42:48",
"content": "I don't know how to got that answer",
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},
{
"id": 990403391681347600,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:49:29",
"content": "Thank you for effort bro",
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},
{
"id": 990403623928361000,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:50:24",
"content": "I will close this if you don't have idea for this problem",
"attachments": [],
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},
{
"id": 990404879291908100,
"author_id": 385462512272932860,
"author_name": "Nemanja",
"timestamp": "06/25/2022 19:55:24",
"content": ".close",
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},
{
"id": 990404881112252400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 19:55:24",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5d0eda541c274657956ced3045047761
|
196,826 |
[
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"content": "Available help channel!",
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},
{
"id": 958151891076939800,
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help-9
|
4bab090f34b9444f9f3be9bbf13c3b93
|
196,827 |
[
{
"id": 990405135173816300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 19:56:25",
"content": "Available help channel!",
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},
{
"id": 990406853303345200,
"author_id": 898139815525113900,
"author_name": "hello_idont",
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},
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"timestamp": "06/25/2022 20:03:15",
"content": "Pinned a message.",
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{
"id": 990407268623343600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/25/2022 20:04:53",
"content": ",rotate",
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},
{
"id": 990407275652997100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/25/2022 20:04:55",
"content": "",
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{
"id": 990407806471536600,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:07:01",
"content": "yo",
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},
{
"id": 990407943998546000,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:07:34",
"content": "can i use someones phone number to verify my gmail account? im making a new one. Ill remove it after.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990408017910583300,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:07:52",
"content": "text me the code",
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},
{
"id": 990408052446466000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/25/2022 20:08:00",
"content": "Not a place to ask this here",
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"id": 990408103319187500,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:08:12",
"content": "i dont have any other servers",
"attachments": [],
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},
{
"id": 990408173041094700,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:08:29",
"content": "anyone?",
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},
{
"id": 990408184122445800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/25/2022 20:08:31",
"content": "Okay, still not the place to ask that here, ask your friends",
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},
{
"id": 990408210294911000,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:08:38",
"content": "i dont have none",
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},
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"id": 990408236861620200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/25/2022 20:08:44",
"content": "And please read #❓how-to-get-help",
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},
{
"id": 990408267018674300,
"author_id": 924786514964140000,
"author_name": "Vincestaples",
"timestamp": "06/25/2022 20:08:51",
"content": "oh ok",
"attachments": [],
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},
{
"id": 990408478650691700,
"author_id": 982729697953718400,
"author_name": "yourworstnightmare",
"timestamp": "06/25/2022 20:09:42",
"content": "a) Even because the f(-x)=f(x) and if u take f(n)=4n and f(-n)=-4n but from the condition we have that n is from N so f(-n)=4n",
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"author_name": "yourworstnightmare",
"timestamp": "06/25/2022 20:11:47",
"content": "b) 4(n+1)",
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"author_name": "yourworstnightmare",
"timestamp": "06/25/2022 20:11:50",
"content": "Not sure tho",
"attachments": [],
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},
{
"id": 990409321504469000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/25/2022 20:13:03",
"content": "Don't give out answers, not the purpose of the server",
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"author_name": "yourworstnightmare",
"timestamp": "06/25/2022 20:13:10",
"content": "Also u can use the logic that 4 is even and if u multiple it by a odd or even u still get an even",
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"id": 990410634552291300,
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"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 20:18:16",
"content": "@hello_idont Has your question been resolved?",
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"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "06/25/2022 20:22:32",
"content": "Hi",
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},
{
"id": 990411900644884600,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "06/25/2022 20:23:18",
"content": "Thanks",
"attachments": [],
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},
{
"id": 990414409971163100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 20:33:16",
"content": "Channel closed",
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}
] |
help-9
|
1321cbf0e57f40109f0eed43c302ff2a
|
196,828 |
[
{
"id": 990461499552174100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/25/2022 23:40:23",
"content": "Available help channel!",
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},
{
"id": 990475716892168200,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:36:53",
"content": "Hi there! I can probably do the actual question myself, but I’m confused about what it’s asking?",
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"id": 990475718922219600,
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"timestamp": "06/26/2022 00:36:53",
"content": "Pinned a message.",
"attachments": [],
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"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:36:56",
"content": "Number 13, I mean",
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},
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"id": 990475851428683800,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:37:25",
"content": "Is it saying to replace x in the first function with g(x)",
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},
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"id": 990475861495005200,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:37:27",
"content": "Or?",
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},
{
"id": 990478892370395100,
"author_id": 403196055468113900,
"author_name": "bungus",
"timestamp": "06/26/2022 00:49:30",
"content": "it's asking you how to turn f(x) into g(x)",
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"id": 990479845010059300,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:53:17",
"content": "But f(x) is an absolute value question, how do I write that? As a piecewise function?",
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"id": 990479925398110200,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "06/26/2022 00:53:36",
"content": "And then for part b) it asks me to write the equation of g(x)",
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"author_id": 691016922120192000,
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"timestamp": "06/26/2022 00:53:51",
"content": "Isn’t that just what the question already states?",
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"id": 990482667906687000,
"author_id": 191148988089630720,
"author_name": "Twentycents",
"timestamp": "06/26/2022 01:04:30",
"content": "I think it asks you like to describe the translations that happen on x axis and y axis when you do f(x+2) - 7",
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"timestamp": "06/26/2022 01:09:30",
"content": "@silenceandtears Has your question been resolved?",
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"timestamp": "06/26/2022 01:13:32",
"content": "Channel closed",
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}
] |
help-9
|
cfc74d12108f4f17a0b1152bccaa6995
|
196,829 |
[
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"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 01:14:32",
"content": "Available help channel!",
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},
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"id": 990492667119018000,
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"content": "Pinned a message.",
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"timestamp": "06/26/2022 01:44:19",
"content": "oops",
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"timestamp": "06/26/2022 01:44:35",
"content": "I got -54",
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"id": 990492795338907600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/26/2022 01:44:44",
"content": "I plugged it in as",
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{
"id": 990492836329828400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/26/2022 01:44:54",
"content": "-16(3.5)^2+v(3.5)+6.5",
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},
{
"id": 990492896971075600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "06/26/2022 01:45:09",
"content": "But it said I was wrong",
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"id": 990493224583974900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "06/26/2022 01:46:27",
"content": "What happened to the $h$?",
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"author_name": "TeXit",
"timestamp": "06/26/2022 01:46:36",
"content": "**dldh06**",
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"timestamp": "06/26/2022 01:46:45",
"content": "h = 5 was given",
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"timestamp": "06/26/2022 01:46:52",
"content": "But you didn't use it?",
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"timestamp": "06/26/2022 01:47:05",
"content": "Where would I plug it into?",
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"timestamp": "06/26/2022 01:47:08",
"content": "The first parT?",
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"timestamp": "06/26/2022 01:47:13",
"content": "h(t",
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"author_name": "dldh06",
"timestamp": "06/26/2022 01:47:45",
"content": "It's an equation, if you plug in 3.5 for t, you would result in 5 for h",
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"id": 990493582836236300,
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"timestamp": "06/26/2022 01:47:52",
"content": "Use that info to find v",
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"timestamp": "06/26/2022 01:48:25",
"content": "I'm confused",
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"timestamp": "06/26/2022 01:48:47",
"content": "You are given $h_0$ so you can plug that in",
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"timestamp": "06/26/2022 01:48:49",
"content": "**dldh06**",
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"timestamp": "06/26/2022 01:49:05",
"content": "The other info you are given is that at t = 3.5, h = 5",
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"id": 990493928602091500,
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"timestamp": "06/26/2022 01:49:15",
"content": "Meaning that h(3.5) = 5",
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"id": 990493979835531300,
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"timestamp": "06/26/2022 01:49:27",
"content": "You know what t is, so you can plug that in",
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"timestamp": "06/26/2022 01:49:48",
"content": "You also know that h(3.5) = 5, which you can plug in",
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"timestamp": "06/26/2022 01:49:53",
"content": "Use all that info to find v",
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"content": "Plug in the given values",
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"content": "-16(3.5)^2+v(3.5)",
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"content": "like that",
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"timestamp": "06/26/2022 01:54:11",
"content": "for the first part?",
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"content": "Where is $h_0$ and h = 5?",
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"content": "**dldh06**",
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"content": "You are given other info to use",
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"timestamp": "06/26/2022 01:55:00",
"content": "-16(3.5)^2+v(3.5)+6.5(5)",
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"content": "Why are you doing 6.5(5)?",
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"content": "$h_0 = 6.5$",
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"content": "**dldh06**",
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"content": "It's not $h_0 * h$",
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"timestamp": "06/26/2022 02:05:12",
"content": "is the answer 59?",
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"timestamp": "06/26/2022 02:05:19",
"content": "I tried pluggin in some numbers",
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"timestamp": "06/26/2022 02:05:22",
"content": "and thats what i got",
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"content": "You can solve it mathematically, without guessing random numbers",
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"content": "Use the info that was given",
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"content": "What does it mean if h = 5 when t = 3.5?",
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"content": "so",
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"content": "h(t) =5",
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"timestamp": "06/26/2022 02:10:48",
"content": "so i should right it as",
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"timestamp": "06/26/2022 02:11:00",
"content": "5=-16(3.5)^2+v(3.5)+6.5?",
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"content": "Yes",
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"timestamp": "06/26/2022 02:11:21",
"content": "Now solve for v",
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"content": "v=56",
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"content": "Try it",
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"content": ".close",
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"timestamp": "06/26/2022 02:13:21",
"content": "Channel closed",
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] |
help-9
|
e9ae9145784b4a00a4fdfd3d638ff630
|
196,830 |
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"content": "I need help working out 11.a)",
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"content": "This is my working out but it’s wrong",
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"content": "oh yeh",
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"content": "ill try that now",
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"content": "thank you that worked",
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help-9
|
c12157430f58431793a30b8290060692
|
196,831 |
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"id": 990555841679745000,
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"content": "$\\int\\frac{1}{\\sqrt{e^{2x}-1}}dx$",
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"content": "**homme**",
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"content": "Need help with this integral",
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"timestamp": "06/26/2022 06:01:25",
"content": "maybe a substitution will work",
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"content": "but you'll probably have to do more than 1",
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"content": "hint: $\\int \\frac{1}{u^2+1}du=\\tan^{-1}(u)$",
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"content": "**Toby**",
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"timestamp": "06/26/2022 06:08:39",
"content": "I tried $u=\\sqrt{e^{2x}-1}$ as well as $u= e^{2x}-1$, none of these got me anywhere where i knew what i was doing",
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"content": "**homme**",
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"timestamp": "06/26/2022 06:08:57",
"content": "$u = e^x$ could help",
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"content": "hmm",
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"content": "that would be the first sub ye",
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"content": "I think $u=\\sqrt{e^{2x}-1}$ is the correct substitution",
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"content": "**Toby**",
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"timestamp": "06/26/2022 06:10:39",
"content": "both u=e^x and u=√(e^(2x)-1) work, the latter being faster imo",
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"author_name": "homme",
"timestamp": "06/26/2022 06:11:09",
"content": "with u=e^x i got to",
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},
{
"id": 990559981520695300,
"author_id": 865416118915170300,
"author_name": "homme",
"timestamp": "06/26/2022 06:11:43",
"content": "$\\int\\frac{du}{u\\sqrt{u^2+1}}$",
"attachments": [],
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"reference": null
},
{
"id": 990559996444037100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 06:11:46",
"content": "**homme**",
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"id": 990560168204980200,
"author_id": 865416118915170300,
"author_name": "homme",
"timestamp": "06/26/2022 06:12:27",
"content": "trig sub now?",
"attachments": [],
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},
{
"id": 990560205983064000,
"author_id": 865416118915170300,
"author_name": "homme",
"timestamp": "06/26/2022 06:12:36",
"content": "u=tanx ?",
"attachments": [],
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},
{
"id": 990560632623489000,
"author_id": 865416118915170300,
"author_name": "homme",
"timestamp": "06/26/2022 06:14:18",
"content": "then u get to integral of cosec x",
"attachments": [],
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"reference": null
},
{
"id": 990562179608608800,
"author_id": 865416118915170300,
"author_name": "homme",
"timestamp": "06/26/2022 06:20:27",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990562181701582800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 06:20:27",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b5907dc3ec8545a28c1dfec6a61b3a15
|
196,832 |
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{
"id": 990596070293790800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 08:35:07",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 990601461077512200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 08:56:32",
"content": "Let $r_1$ and $r_2$ be the roots of $x^2 + bx + c$. \n\\\\\nFind $r_1 - r_2$ in terms of $b$ and $c$.",
"attachments": [],
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},
{
"id": 990601463577325600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 08:56:33",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"id": 990601581210763300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 08:57:01",
"content": "**Kepe**",
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"author_name": "Kepe",
"timestamp": "06/26/2022 08:57:23",
"content": "$$r_1 + r_2 = -b$$\n$$r_1 * r_2 = c$$",
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},
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"id": 990601685883846800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 08:57:26",
"content": "**Kepe**",
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"id": 990601714941964300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 08:57:33",
"content": "impossible as stated unless you clarify which of the roots is which",
"attachments": [],
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},
{
"id": 990601728707666000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 08:57:36",
"content": "maybe use sum and product of roots?",
"attachments": [],
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},
{
"id": 990601793136373800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 08:57:51",
"content": "such as \"r_1 is the greater of the two roots\"",
"attachments": [],
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},
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"id": 990601905803755600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 08:58:18",
"content": "What if we assume that, what can we do then?",
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"id": 990601968592515100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 08:58:33",
"content": "what can you tell me about (r1+r2)^2 and (r1-r2)^2 ?",
"attachments": [],
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},
{
"id": 990602066349158400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 08:58:57",
"content": "typo",
"attachments": [],
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},
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"id": 990602114038366200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 08:59:08",
"content": "thanks",
"attachments": [],
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},
{
"id": 990602275355492400,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 08:59:46",
"content": "$$r_1^2 + r_2^2 = b^2 - 2c$$\n$$(r_1+r_2)^2 = r_1^2 + 2r_1r_2 + r_2^2$$\n$$(r_1-r_2)^2 = r_1^2 - 2r_1r_2 + r_2^2$$",
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"id": 990602286332010500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 08:59:49",
"content": "**Kepe**",
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"id": 990602437251465200,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:00:25",
"content": "Vieta theorem",
"attachments": [],
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"author_name": "Denascite",
"timestamp": "06/26/2022 09:00:56",
"content": "vieta theorem alone doesn't tell us anything about the difference of the roots. but they did use it here",
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},
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"id": 990602706248945700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:01:29",
"content": "doesn't help to just come into the channel and state something without checking if they already used it",
"attachments": [],
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},
{
"id": 990602714532679700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:01:31",
"content": "well, we have transform r1-r2 ourself",
"attachments": [],
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"id": 990602980875186200,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:02:35",
"content": "sorry idk LATEX",
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"author_name": "Ann",
"timestamp": "06/26/2022 09:02:39",
"content": "this is good. you might notice something thatll make your life easier",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 09:02:46",
"content": "are those r's?",
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"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:02:52",
"content": "yeah",
"attachments": [],
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"author_name": "Ann",
"timestamp": "06/26/2022 09:02:52",
"content": "they almost look like poorly written pi",
"attachments": [],
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},
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"id": 990603087913844700,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:03:00",
"content": "sorry",
"attachments": [],
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},
{
"id": 990603097430712300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 09:03:02",
"content": "your handwriting is shit lmao",
"attachments": [],
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},
{
"id": 990603108717559800,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:03:05",
"content": "im bad at handwriting",
"attachments": [],
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},
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"id": 990603122349068300,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "06/26/2022 09:03:08",
"content": "ik",
"attachments": [],
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:03:54",
"content": "and if you read the chat you would have noticed that I sent them on that path. in the previous days they only asked for hints so I tried to give them just enough to work with",
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"author_name": "Kepe",
"timestamp": "06/26/2022 09:05:25",
"content": "oh I think I know it, thank you\n\nI can replace $r_1^2 + r_2^2$ with $b^2 - 2c$ giving $(r_1 - r_2)^2$ = b^2 - 2c - 2r_1r_2$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:05:27",
"content": "**Kepe**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
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"author_name": "Kepe",
"timestamp": "06/26/2022 09:06:26",
"content": "$2r_1r_2 = 2c$",
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},
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"id": 990603962019381400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:06:29",
"content": "**Kepe**",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 09:06:29",
"content": "overthinking it tbh but yes",
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"id": 990603985260003300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 09:06:34",
"content": "and/or overcomplicating",
"attachments": [],
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"id": 990604114234843100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:07:05",
"content": "$b^2 - 2c - 2c = b^2 - 4c$\n$$(r_1 - r_2)^2 = b^2 - 4c$$",
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},
{
"id": 990604211454611500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:07:28",
"content": "**Kepe**",
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"id": 990604243381678100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:07:36",
"content": "is this correct?",
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},
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"id": 990604385467899900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:08:10",
"content": "yes",
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},
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:08:24",
"content": "how could we have also gotten that from the quadratic formula btw?",
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"id": 990604446067220500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:08:24",
"content": "$r_1 - r_2 = \\pm \\sqrt{b^2 - 4c}$",
"attachments": [],
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},
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"id": 990604520511930400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:08:42",
"content": "**Kepe**",
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"author_name": "Denascite",
"timestamp": "06/26/2022 09:08:46",
"content": "you'll notice that b^2-4c is familiar. maybe even more familiar with a=1 so it's b^2-4ac",
"attachments": [],
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"id": 990604767141171200,
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"author_name": "Kepe",
"timestamp": "06/26/2022 09:09:41",
"content": "Yes, it's the part under the square root in the quadratic formula\n$$x_{1, 2} = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}$$",
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"id": 990604880165081200,
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"author_name": "Denascite",
"timestamp": "06/26/2022 09:10:07",
"content": "also here we get what ann said earlier about which root is \"first\". r1-r2 is positive depending on whether you set r1>r2 or not and so you either have to choose plus or you have to choose minus",
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"id": 990604891628134500,
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"author_name": "TeXit",
"timestamp": "06/26/2022 09:10:10",
"content": "**Kepe**",
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"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:10:59",
"content": "yeah, so keep it $\\pm$ if it's not specified ig?",
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"id": 990605107500548100,
"author_id": 510789298321096700,
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"timestamp": "06/26/2022 09:11:02",
"content": "**Kepe**",
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"timestamp": "06/26/2022 09:11:37",
"content": "if we set $r_1=\\frac{-b+\\sqrt{b^2-4ac}}{2a}$ and $r_2=\\frac{-b-\\sqrt{b^2-4ac}}{2a}$, we could also just straight up simplify the expression $$r_1-r_2=\\frac{-b+\\sqrt{b^2-4ac}}{2a}-\\frac{-b-\\sqrt{b^2-4ac}}{2a}$$ and get the same result",
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"author_id": 510789298321096700,
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"timestamp": "06/26/2022 09:12:09",
"content": "**Denascite**",
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"id": 990605411776340000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:12:14",
"content": "oh",
"attachments": [],
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},
{
"id": 990605528742903900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:12:42",
"content": "but I think the first approach is nicer",
"attachments": [],
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},
{
"id": 990605569759002800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:12:52",
"content": "There wouldn't be a $\\pm$ there because it's assuming that $r_1 > r_2$, right?",
"attachments": [],
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"id": 990605580869705700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:12:55",
"content": "although it never hurts to see the same problem solved in different ways",
"attachments": [],
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},
{
"id": 990605616525504500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/26/2022 09:13:03",
"content": "yes",
"attachments": [],
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},
{
"id": 990605621315391600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:13:04",
"content": "**Kepe**",
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"id": 990605691825819600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:13:21",
"content": "alr, thank you!",
"attachments": [],
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},
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"id": 990605707558649900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "06/26/2022 09:13:25",
"content": ".close",
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},
{
"id": 990605709265739800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 09:13:25",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b78bd80b4cb94dc6b3ead934c7bc31b6
|
196,833 |
[
{
"id": 990605962731741200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 09:14:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990614012934885400,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 09:46:25",
"content": "imma ask here anyways, this is about high school conditional probability\nso for this question i already made a 2 way table (see the picture) but i don't know how to use the theorems to determine if they're independent events or not",
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"id": 990614014948151300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 09:46:25",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 990614012934885400,
"channelId": 486844875632017400,
"guildId": null
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{
"id": 990614172523974700,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 09:47:03",
"content": "also the theorems are:\\\\\ntheorem 2: $P(A\\cap B) = P(A)\\times P(B)$\\\\\ntheorem 3 is $P(B\\mid A) = P(B\\mid A^{\\prime}) = P(B)$",
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},
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"id": 990614227419017200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 09:47:16",
"content": "**Tanakaaa**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/990614227528077352/766697228848201799.png",
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"id": 990614550611103900,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 09:48:33",
"content": "idk if i made a calculation mistake or my logic was wrong or whatever, but i found that they're dependent events yet the answer of this question said they're independent",
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},
{
"id": 990615496229531600,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 09:52:19",
"content": "and the answer didn't explain anything, it only gave me a sentence \"accoring to thrm 3 they're independent events\"",
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},
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"id": 990617983724445700,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 10:02:12",
"content": "wait i think i got it",
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},
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"id": 990617989571305500,
"author_id": 766697228848201900,
"author_name": "ruiz",
"timestamp": "06/26/2022 10:02:13",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 990617990565331000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 10:02:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a273941a4a3d4024b938ff1d69716aff
|
196,834 |
[
{
"id": 990618244425580500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 10:03:14",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990623736073957500,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:25:03",
"content": "I have to find the expression of\na quadratic function that grows in the interval `(4, +∞)`, that decreases in the interval `(−∞, 4)`, that has only one root and the Y intercept is 2",
"attachments": [],
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{
"id": 990623738586333200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 10:25:04",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 990623736073957500,
"channelId": 486844875632017400,
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}
},
{
"id": 990623933550198800,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:25:50",
"content": "go to another channel",
"attachments": [],
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{
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"name": "Katherine Pierce",
"discriminator": "4679",
"nickname": "Katherine Pierce",
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"id": 990623936951746600,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:25:51",
"content": "bye",
"attachments": [],
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"reference": null
},
{
"id": 990623994552148000,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:26:05",
"content": "wtf",
"attachments": [],
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"reference": null
},
{
"id": 990624012331778000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:26:09",
"content": "#❓how-to-get-help @Katherine Pierce",
"attachments": [],
"mentions": [
{
"id": 981699713243942900,
"name": "Katherine Pierce",
"discriminator": "4679",
"nickname": "Katherine Pierce",
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}
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{
"id": 990624066044035100,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:26:22",
"content": "someone mute this guy lmao",
"attachments": [],
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"reference": null
},
{
"id": 990624066983588000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:26:22",
"content": "ask at your channel",
"attachments": [],
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"reference": null
},
{
"id": 990624075904852000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:26:24",
"content": "dont ask here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990624096700219400,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:26:29",
"content": "So I've basically this \n$2 = ax^2 + bx + c",
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"reference": null
},
{
"id": 990624214027477100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:26:57",
"content": "$2 = ax^2 + bx + c$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990624222705483900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 10:26:59",
"content": "A brief description and guide on how to use me was sent to your DMs!\nPlease use `,list` to see a list of all my commands, and `,help cmd` to get detailed help on a command!",
"attachments": [],
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},
{
"id": 990624224655863800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 10:27:00",
"content": "**MarveI**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/990624224798441492/483962566977126401.png",
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{
"id": 990624243345653900,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:27:04",
"content": "ty",
"attachments": [],
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},
{
"id": 990624752089595900,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:29:05",
"content": "a quadratic function --> y = ax^2 + bx + c\n\ngrows in the interval `(4, +∞)` ?\n\ndecreases in the interval `(−∞, 4)` ?\n\nthat has only one root ?\n\nY intercept is 2 --> y = ax^2 + bx + c",
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},
{
"id": 990626383870972000,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:35:34",
"content": "grows in the interval (4, +∞) ?\n\ndecreases in the interval (−∞, 4) ? \n\nthis means the root is 4 ?",
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},
{
"id": 990626739447267300,
"author_id": 850444002582593500,
"author_name": "Chuti",
"timestamp": "06/26/2022 10:36:59",
"content": "nah I've no idea honestly",
"attachments": [],
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"reference": null
},
{
"id": 990629701984850000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:48:45",
"content": "ok so",
"attachments": [],
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"reference": null
},
{
"id": 990629721572253700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:48:50",
"content": "i think i understand a bit",
"attachments": [],
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"reference": null
},
{
"id": 990629959011795000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:49:47",
"content": "$$f(0) = 2 = a(0)^2 + b(0) + c$$ \n$$c = 2$$",
"attachments": [],
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},
{
"id": 990629971397582800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 10:49:50",
"content": "**MarveI**",
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{
"id": 990630427503001600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:51:38",
"content": "$$f(4) = 0 = a(4)^2 + b(4) + 2$$\n$$f(4) = 0 = 16a + 4b + 2$$",
"attachments": [],
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},
{
"id": 990630439611932800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 10:51:41",
"content": "**MarveI**",
"attachments": [
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"id": 990630444393451500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:51:42",
"content": "ok im stuck now",
"attachments": [],
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},
{
"id": 990631703313788900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 10:56:43",
"content": "@Chuti Has your question been resolved?",
"attachments": [],
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"nickname": "Chuti | Spanish",
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"id": 990631864148574300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:57:21",
"content": "we can get 16a + 4b = -2",
"attachments": [],
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},
{
"id": 990632462063370200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 10:59:44",
"content": "f(0) = 2 because x = 0 at y intercept and f(4) = 0 because only it has only one root",
"attachments": [],
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},
{
"id": 990632825604694000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 11:01:10",
"content": "nvm i give up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990635479433084900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 11:11:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
03116463de424c77998685624abbbae8
|
196,835 |
[
{
"id": 990640346813837300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 11:31:03",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990644795833716700,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:48:44",
"content": "I need to find the length of this curve.",
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"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 11:48:45",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 990644929564926000,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:49:16",
"content": "I only started learning how to do these yesterday but I'm completely lost.",
"attachments": [],
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},
{
"id": 990645185899806800,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:50:17",
"content": "The subject is line integrals of scalar functions/vector fields",
"attachments": [],
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},
{
"id": 990645394310574100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 11:51:07",
"content": "have you managed to set up the integral to find the length?",
"attachments": [],
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},
{
"id": 990645422567608300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 11:51:14",
"content": "or are you lost even on that front",
"attachments": [],
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"reference": null
},
{
"id": 990645592806011000,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:51:54",
"content": "No. From what I've understood, I need to build the integral so that it's \"Integral from a to b of F(x(t),y(t) times r'(t) dt\"",
"attachments": [],
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},
{
"id": 990645651429818400,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:52:08",
"content": "but I'm not given the F, so I'm not sure what I'm supposed to do.",
"attachments": [],
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},
{
"id": 990645715468419100,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:52:23",
"content": "(This is the first time I'm trying to solve one of these and not watching someone in a video do it)",
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},
{
"id": 990645789766352900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 11:52:41",
"content": "i think you either misunderstood or are misremembering",
"attachments": [],
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"reference": null
},
{
"id": 990645809378897900,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 11:52:46",
"content": "(And our question page that we got never starts from simple questions)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990645939091935200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/26/2022 11:53:17",
"content": "what you have here is a curve given by the equation $\\vec{r}(t) = x(t) \\hat{x} + y(t) \\hat{y}$ for $t \\in [a,b]$",
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"id": 990645948915019800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 11:53:19",
"content": "**Ann**",
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"timestamp": "06/26/2022 11:54:04",
"content": "its length is given by $L = \\int_a^b \\nrm{\\vec{\\dot{r}}(t)} \\dd{t}$ or $$L = \\int_a^b \\sqrt{\\dot{x}(t)^2 + \\dot{y}(t)^2} \\dd{t}$$",
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"content": "**Ann**",
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"timestamp": "06/26/2022 11:54:57",
"content": "How come there's no F(x,y) before the r'(t)?",
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"timestamp": "06/26/2022 11:55:38",
"content": "what's F(x,y)?",
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"content": "you're not integrating a function along the curve, just finding its length",
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"timestamp": "06/26/2022 11:56:10",
"content": "This is what I've been trying to use.",
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"timestamp": "06/26/2022 11:56:12",
"content": "but we aren't doing that...",
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"content": "we're finding the length of the curve",
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"content": "Isn't that what would give me the length...?",
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"timestamp": "06/26/2022 12:00:30",
"content": "Look in your textbook for arc length formula or use what ann gave you",
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"content": "oh wait you're using this",
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"content": "yes...",
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"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:01:03",
"content": "If only we had textbooks 🥲",
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"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:01:56",
"content": "What would I get from the formula I sent then?",
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"timestamp": "06/26/2022 12:03:57",
"content": "Calculate it using your formula",
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"timestamp": "06/26/2022 12:04:24",
"content": "What? I meant the first one, with the F(x(t),y(t)).",
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"author_name": "Ann",
"timestamp": "06/26/2022 12:04:45",
"content": "you would not get anything of use",
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"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:04:51",
"content": "In general.",
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"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:05:04",
"content": "Not in this specific question.",
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"author_name": "riemann",
"timestamp": "06/26/2022 12:05:30",
"content": "The answer is still nothing of use",
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"timestamp": "06/26/2022 12:05:47",
"content": "So why would people use that formula if it has no uses?",
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"author_name": "riemann",
"timestamp": "06/26/2022 12:06:26",
"content": "Oh you mean outside your problem",
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"id": 990649270451462100,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:06:31",
"content": ".",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/26/2022 12:06:38",
"content": "Look up Green's theorem",
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"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:06:46",
"content": "Yeah I learned it like 10 minutes ago",
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"timestamp": "06/26/2022 12:06:54",
"content": "Didn't understand too much, unfortunately.",
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"timestamp": "06/26/2022 12:07:39",
"content": "I just know that it's similar to Newton-Leibniz's theorem",
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"timestamp": "06/26/2022 12:07:49",
"content": "Yea kinda",
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"timestamp": "06/26/2022 12:08:32",
"content": "Basically this.",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/26/2022 12:10:20",
"content": "What problem do you want to work on. This is pretty different from arc lengths",
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"id": 990650736402661400,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:12:20",
"content": "I tried solving the problem I sent above. I'm just pretty much feeling lost. I'm not sure when I'm supposed to use each formula, what I get from using the formula, that kind of stuff.",
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"timestamp": "06/26/2022 12:12:44",
"content": "Nothing about this says arc length",
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"timestamp": "06/26/2022 12:12:55",
"content": "Yeah that's Green Theorem.",
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"timestamp": "06/26/2022 12:13:03",
"content": "The \"length of the curve\" is appropriate for your problem",
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"timestamp": "06/26/2022 12:13:32",
"content": "I understood that part now.",
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"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:13:50",
"content": "I just wanted general explanations for when I should use the other formulas and what I could possibly get out of using them...",
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"id": 990651179891556400,
"author_id": 414557649045159940,
"author_name": "Somalian Space Pirate",
"timestamp": "06/26/2022 12:14:06",
"content": "To maybe make sense of it all a little more.",
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"id": 990651283767713800,
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"timestamp": "06/26/2022 12:14:31",
"content": "Green's theorem is a method to solve integrals. Sometimes the left side is easier to evaluate, sometimes the right side is.",
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"timestamp": "06/26/2022 12:15:02",
"content": "All of this just takes practice and trial and error. You're just feeling overwhelmed and stuck because you don't have practice",
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"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 12:29:06",
"content": "@Somalian Space Pirate Has your question been resolved?",
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"timestamp": "06/26/2022 12:29:33",
"content": "Good luck to me on my finals next week 🥲",
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"timestamp": "06/26/2022 12:29:35",
"content": ".close",
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"timestamp": "06/26/2022 12:29:36",
"content": "Channel closed",
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}
] |
help-9
|
41a1d2ae78e942a2828ec2e0684f29e0
|
196,836 |
[
{
"id": 990655332260921500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 12:30:36",
"content": "Available help channel!",
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},
{
"id": 990658541738164200,
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"author_name": "milkman",
"timestamp": "06/26/2022 12:43:21",
"content": "help",
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"content": "Pinned a message.",
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"timestamp": "06/26/2022 12:43:33",
"content": "i think its 38 bcz similar triangles but idk",
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"id": 990658625406128100,
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"timestamp": "06/26/2022 12:43:41",
"content": "oh i was right",
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"id": 990658635820568700,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/26/2022 12:43:44",
"content": "nvm",
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"id": 990658754896879700,
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"author_name": "milkman",
"timestamp": "06/26/2022 12:44:12",
"content": "help",
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"author_name": "mmmmm",
"timestamp": "06/26/2022 12:47:37",
"content": "Well, for this one, you don't need to look deeper than into the central angle, which is 180°, so the angle you’re searching for must be 2 times smaller",
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"id": 990659653358739500,
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"timestamp": "06/26/2022 12:47:46",
"content": "I’m not sure though",
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},
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"id": 990659827946639400,
"author_id": 866794957784481800,
"author_name": "milkman",
"timestamp": "06/26/2022 12:48:28",
"content": "whats the central angle",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 12:51:13",
"content": "may i help?",
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},
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"id": 990661151488614400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 12:53:44",
"content": "@milkman have you gotten the answer yet?",
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"id": 990661170614649000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/26/2022 12:53:48",
"content": "or do you still need help",
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"id": 990661456229957600,
"author_id": 483962566977126400,
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"timestamp": "06/26/2022 12:54:56",
"content": "?",
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"timestamp": "06/26/2022 13:03:28",
"content": "@milkman Has your question been resolved?",
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"timestamp": "06/26/2022 13:18:29",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
0862b838e2e847d1ad4af9b14c5f65c1
|
196,837 |
[
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"id": 958154415762723000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 20:03:34",
"content": "Available help channel!",
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},
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"id": 958159883168022500,
"author_id": 872024354572103700,
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"timestamp": "03/28/2022 20:25:18",
"content": "Pinned a message.",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/28/2022 20:27:27",
"content": "$$\\frac{1}{2}i\\ln(\\frac{x-(3-i)}{x-(3+i)}) = -\\tan(3-x)$$",
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"timestamp": "03/28/2022 20:28:33",
"content": "**azeem321**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/958160703183786034/872024354572103731.png",
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"id": 958160758926098400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/28/2022 20:28:46",
"content": "is there a simple proof for why this is the case",
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},
{
"id": 958160811006787700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/28/2022 20:28:59",
"content": "or is it too deep into the realm of complex analysis",
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},
{
"id": 958163935419326500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/28/2022 20:41:24",
"content": ".close",
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},
{
"id": 958163936786669600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 20:41:24",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6c7e1c0fccf049c486ee816d221c710a
|
196,838 |
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{
"id": 990667632212594800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 13:19:29",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990668565713666000,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:23:11",
"content": "Can someone explain this to me? This is using sine and cosine law.",
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"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 13:23:12",
"content": "Pinned a message.",
"attachments": [],
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"id": 990668707921543200,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:23:45",
"content": "I believe I have to split the triangle in two but I'm really confused. If someone could explain preferably with diagrams as well, that would be great",
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},
{
"id": 990668861093318700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/26/2022 13:24:22",
"content": "have you tried drawing a picture of everything yourself yet?",
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},
{
"id": 990668932740440000,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:24:39",
"content": "yes",
"attachments": [],
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},
{
"id": 990669028815142900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/26/2022 13:25:02",
"content": "let's see it",
"attachments": [],
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},
{
"id": 990669190425899100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:25:40",
"content": "My camera doesn't work sadly. I just drew like a scalene triangle and labelled it.",
"attachments": [],
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},
{
"id": 990669337482379400,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:26:15",
"content": "Using sine formula doesn't work immediately",
"attachments": [],
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"reference": null
},
{
"id": 990669400141086700,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:26:30",
"content": "I think I have to split the triangle into two but I don't know what else to do from there.",
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},
{
"id": 990669627950522400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/26/2022 13:27:25",
"content": "",
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{
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{
"id": 990669737140838400,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:27:51",
"content": "basically what I drew",
"attachments": [],
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},
{
"id": 990669875024367600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/26/2022 13:28:23",
"content": "we can find the angle at L2 using the sine rule. then use the fact that angles of a triangle sum to 180",
"attachments": [],
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},
{
"id": 990669968918077600,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:28:46",
"content": "I don't think we can? Can you try it please",
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},
{
"id": 990670141928915000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "06/26/2022 13:29:27",
"content": "",
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{
"id": 990670346871013500,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:16",
"content": "Yes I understand but I cant use inverse sine to get the angle",
"attachments": [],
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"reference": null
},
{
"id": 990670368786251800,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:21",
"content": "the number inputted is larger than 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990670423840657400,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:34",
"content": "sin(30) * 9.8",
"attachments": [],
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"reference": null
},
{
"id": 990670436348084200,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:37",
"content": "divided by",
"attachments": [],
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},
{
"id": 990670438151618600,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:38",
"content": "3",
"attachments": [],
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},
{
"id": 990670453595062300,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:41",
"content": "is 1.6333",
"attachments": [],
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},
{
"id": 990670502374826100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:30:53",
"content": "sin^-1(1.6333) == error",
"attachments": [],
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},
{
"id": 990670542069715100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:31:02",
"content": "meaning I can't get the angle",
"attachments": [],
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},
{
"id": 990674318222573600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 13:46:03",
"content": "@Eren Has your question been resolved?",
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"nickname": "Eren",
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{
"id": 990675162519208100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:49:24",
"content": ".help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990675163660054700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 13:49:24",
"content": "**Commands:**\nclopen: `.close`, `.reopen`\nfactoids: `.tag`\nhelp: `.help`\n\nType `.help <command name>` for more info on a command.",
"attachments": [],
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},
{
"id": 990675192592363600,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 13:49:31",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990677804800704600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 13:59:54",
"content": "what is your issue?",
"attachments": [],
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},
{
"id": 990677894302933100,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:00:15",
"content": "what equation are you solving",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990678004088840200,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:00:42",
"content": "can u solve this",
"attachments": [],
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"reference": null
},
{
"id": 990678063568281600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:00:56",
"content": "draw he thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990678103951048700,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:01:05",
"content": "Basically what i have",
"attachments": [],
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},
{
"id": 990680162196652000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:09:16",
"content": "what are you trying to find?",
"attachments": [],
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},
{
"id": 990680223999729700,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:09:31",
"content": "L1?",
"attachments": [],
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},
{
"id": 990680508289650700,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:10:39",
"content": "angle of L1",
"attachments": [],
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"reference": null
},
{
"id": 990680678842638300,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:11:19",
"content": "well i think you need L2 first for that using sine rule",
"attachments": [],
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},
{
"id": 990680741472006100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:11:34",
"content": "Can you please just attempt it",
"attachments": [],
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"reference": null
},
{
"id": 990680761348804600,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:11:39",
"content": "using sine rule does not work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990680897533644800,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:12:11",
"content": "this is what i do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990680909525164000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:12:14",
"content": "sin L2/9.8 = sin 30/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681024256147600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:12:42",
"content": "yws",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681036541272200,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:12:45",
"content": "tes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681044481105900,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:12:46",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681113921978400,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:13:03",
"content": "yes the answer is 1.633 but I need to do inverse sine to find the angle right?",
"attachments": [],
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},
{
"id": 990681164824068100,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:13:15",
"content": "but I cant since its 1 >",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681195094372400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:13:22",
"content": "L1 = sin^-1 (sin 30 * 9.8/3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681294658764900,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:13:46",
"content": "do you have a shift button on your calculator?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681351105679500,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:14:00",
"content": "press shift and then sine to get the sine invers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681419103744000,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:16",
"content": "tell me what u get when u input this",
"attachments": [],
"mentions": [
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"name": "Diesel",
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],
"reference": null
},
{
"id": 990681477991776300,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:14:30",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681495314239500,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:14:34",
"content": "you tell first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681510124322800,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:37",
"content": "Error",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681519657992300,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:40",
"content": "thats the problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681560044945500,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:49",
"content": "I've been using sine rule for other questions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681577560363000,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:54",
"content": "its this one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681586968195200,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:14:56",
"content": "its different",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681640630091800,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:15:09",
"content": "Error: Domain",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681700902244400,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:15:23",
"content": "thats because sin(30) * 9.8/3 is 1.6333",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681727146008600,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:15:29",
"content": "you can't do the inverse of that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990681739254984800,
"author_id": 226479092290027520,
"author_name": "Eren",
"timestamp": "06/26/2022 14:15:32",
"content": "not possible",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990683136734158800,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:21:05",
"content": "So the question is faulty?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684182973939700,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:25:15",
"content": ",w 9 = 9.8^2 + x^2 - (2 * 9.8x * cos 30°)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684195867201500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 14:25:18",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684814304764000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:27:45",
"content": ",calc 2 * 9.8 * cos 30°",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684815961497700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 14:27:46",
"content": "The following error occured while calculating:\n`Error: Syntax error in part \"°\" (char 17)`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684919233663000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:28:10",
"content": ",calc 2 * 9.8 * sqrt 3 / 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990684920705876000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 14:28:11",
"content": "The following error occured while calculating:\n`Error: Unexpected type of argument in function multiplyScalar (expected: number or Complex or BigNumber or Fraction or Unit or string or boolean, actual: function, index: 0)`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990685047772295200,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:28:41",
"content": ",calc 2 * 9.8 * (sqrt (3)) /2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990685049252884600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 14:28:41",
"content": "Result:\n```\n16.974097914175\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990685251149922300,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/26/2022 14:29:29",
"content": "Problem with question I think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990689290013012000,
"author_id": 805217272087838700,
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"timestamp": "06/26/2022 14:45:32",
"content": "@Eren Has your question been resolved?",
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"content": "The most problem of all time",
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help-9
|
ee000b0d1147417494a06162715916a5
|
196,839 |
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"timestamp": "06/26/2022 16:09:44",
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"id": 990711944967250000,
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"content": "Just a quick question! :PI_contenthappy:",
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"id": 990712044653252600,
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"timestamp": "06/26/2022 16:15:57",
"content": "When it comes to finding the maximum and minimum values of a trigonometric function",
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"content": "I know that cot/tan doesn’t have a min or max",
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"timestamp": "06/26/2022 16:16:19",
"content": "What about csc and sec?",
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"content": "They have local mins and maxes yes",
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"content": "the easy way to see that they do is to graph it. otherwise, if you differentiate 1/cos (and 1/sin) you will see they have critical points",
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"timestamp": "06/26/2022 16:20:36",
"content": "That makes sense",
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"author_name": "dk.dkn",
"timestamp": "06/26/2022 16:20:50",
"content": "Yeah. The graphs are basically just if you imagined flipping each of the ‘humps’ of sinx and cosx over and stretching them, so it follows that the local maxima and minima are where the corresponding local minima and maxima of the original function’s were",
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"timestamp": "06/26/2022 16:21:22",
"content": "Okie! Thank you. Just wanted to clarify since I have a test tomorrow :b",
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"content": "This is secx and cscx is just this shifted to the right by pi/2",
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"content": "@Deleted User Has your question been resolved?",
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help-9
|
98465fbe46d344dfa9d6bb4d43ebffbb
|
196,840 |
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"content": "Is this an adequate proof?",
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"content": ",help",
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"id": 990724323826335700,
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"author_name": "TeXit",
"timestamp": "06/26/2022 17:04:45",
"content": "A brief description and guide on how to use me was sent to your DMs!\nPlease use `,list` to see a list of all my commands, and `,help cmd` to get detailed help on a command!",
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"content": "@ohNoiAmHere Has your question been resolved?",
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"content": "@ohNoiAmHere Has your question been resolved?",
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help-9
|
23bba4f6b8af41e996d85f88fad75bb9
|
196,841 |
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"content": ".close",
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help-9
|
22172870662a41e791f56d487abb9aa2
|
196,842 |
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"id": 990763824695099400,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:41:43",
"content": "hi guys",
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"timestamp": "06/26/2022 19:41:50",
"content": "$f(x,y)=(x-y)^{2} - x^{4}- y^{4}$",
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"timestamp": "06/26/2022 19:41:52",
"content": "**Digicat195**",
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"author_name": "Digicat195",
"timestamp": "06/26/2022 19:42:03",
"content": "I'm trying to found the critical points of this function",
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"timestamp": "06/26/2022 19:42:10",
"content": "and got this for the gradient (partial derivative of x and y respectively)",
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"timestamp": "06/26/2022 19:42:18",
"content": "$\\bigtriangledown f(x,y)=(2x-2y-4x^3,2y-2x-4y^3)$",
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"timestamp": "06/26/2022 19:42:21",
"content": "**Digicat195**",
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"timestamp": "06/26/2022 19:42:32",
"content": "now I need to set it = 0",
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"id": 990764161665495000,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:43:03",
"content": "but I already tried and got a 9th polinomial degree and I think it's not supposed to be that xD",
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"id": 990764184511840400,
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"timestamp": "06/26/2022 19:43:09",
"content": "can someone help me?",
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"id": 990766051048452100,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:50:34",
"content": "A 9th degree polynomial is reasonable",
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"timestamp": "06/26/2022 19:51:12",
"content": "not really if the zeros are not integer",
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"id": 990766268581834800,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:51:25",
"content": "Well, that’s an L",
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"author_id": 282497368643993600,
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"timestamp": "06/26/2022 19:51:31",
"content": "Hmm",
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"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:51:31",
"content": "L?",
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"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:51:48",
"content": "Slang for ‘not ideal’",
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"timestamp": "06/26/2022 19:51:53",
"content": "oh ok",
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"timestamp": "06/26/2022 19:52:12",
"content": ",w 4x^9+4x^7-12x^5-8x^3=0",
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"timestamp": "06/26/2022 19:52:16",
"content": "Results provided by WolframAlpha",
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"id": 990766498224177200,
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"timestamp": "06/26/2022 19:52:20",
"content": "these one",
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"id": 990766600548409300,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:52:45",
"content": "Hang on, that’s gettable",
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"id": 990766626095890400,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:52:51",
"content": "I think I'm doing something wrong in the question but idk where",
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{
"id": 990766666868736100,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:53:00",
"content": "So we factorise a x out right?",
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"id": 990766682463170600,
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"author_name": "Digicat195",
"timestamp": "06/26/2022 19:53:04",
"content": "yes",
"attachments": [],
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"id": 990766723634430000,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:53:14",
"content": "And then it’s just a cubic in terms of x^2",
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"author_name": "Digicat195",
"timestamp": "06/26/2022 19:53:18",
"content": "got $x^6+x^4+3x^2-2=0$",
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"id": 990766751006478300,
"author_id": 510789298321096700,
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"timestamp": "06/26/2022 19:53:20",
"content": "**Digicat195**",
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"timestamp": "06/26/2022 19:53:38",
"content": ":thonkeyes:",
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"timestamp": "06/26/2022 19:53:39",
"content": "true",
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"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:53:49",
"content": "So x^2 = -2 is a solution",
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},
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"id": 990766901707821000,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:53:56",
"content": "Then we just have a quadratic",
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},
{
"id": 990767336451620900,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:55:40",
"content": "-2 is not a solution",
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},
{
"id": 990767409260539900,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:55:57",
"content": "No?",
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},
{
"id": 990767537325215700,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:56:28",
"content": "since u get a cubic equation, we have (u=x^2)",
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},
{
"id": 990767627502780400,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:56:49",
"content": "$u^3 + u^2 - 3u - 2 = 0$",
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},
{
"id": 990767730045116400,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:57:14",
"content": "-3u magically became +3u",
"attachments": [],
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},
{
"id": 990767888480751600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 19:57:52",
"content": "wait where",
"attachments": [],
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},
{
"id": 990768036858441700,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 19:58:27",
"content": "Here",
"attachments": [],
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"id": 990768484793327600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:00:14",
"content": "oh",
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},
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"id": 990768500970754200,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:00:18",
"content": "right",
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},
{
"id": 990768545598148600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:00:28",
"content": "missed up",
"attachments": [],
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"reference": null
},
{
"id": 990768676833743000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/26/2022 20:01:00",
"content": "**Digicat195**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/990768676921806858/290163307766349826.png",
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"id": 990768730986393600,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:01:13",
"content": "so is -2 a solution?",
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},
{
"id": 990768902952865800,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:01:54",
"content": "yes and now got the 2nd degree polynomial and solve it",
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},
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"id": 990768913279246300,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:01:56",
"content": "ok got it",
"attachments": [],
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},
{
"id": 990768934980583400,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:02:01",
"content": "thank you!",
"attachments": [],
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},
{
"id": 990768973656252400,
"author_id": 282497368643993600,
"author_name": "Zesty oranges",
"timestamp": "06/26/2022 20:02:10",
"content": "🙂",
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},
{
"id": 990769196499632100,
"author_id": 290163307766349800,
"author_name": "Digicat195",
"timestamp": "06/26/2022 20:03:04",
"content": ".close",
"attachments": [],
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},
{
"id": 990769198215069700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 20:03:04",
"content": "Channel closed",
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}
] |
help-9
|
a55f970298034966a62ccd6a2bff0e77
|
196,843 |
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{
"id": 990784469390753800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/26/2022 21:03:45",
"content": "Available help channel!",
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},
{
"id": 990785516230295700,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:07:54",
"content": "Help factoring this... can someone guide me and share the resources needed to master the topic and solve by reasoning?",
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"id": 990786171812585500,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:10:31",
"content": "well you can complete a square",
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},
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"id": 990786201671827500,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:10:38",
"content": "and factor 6x - 6y",
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},
{
"id": 990786270458413000,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:10:54",
"content": "you'll get a quadratic equation in (x - y)",
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},
{
"id": 990786298107273200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:11:01",
"content": "which you can further factor",
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},
{
"id": 990786379430625400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:11:20",
"content": "I’ve never seen this in my schooling so I don’t know what form you’re looking for it to turn into",
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},
{
"id": 990786515061837800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:11:53",
"content": "But from looking at it I see (x-y)² then a factor in 6x -6y",
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},
{
"id": 990786550444982300,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:12:01",
"content": "in the form of products only ig..... a monomial expression?",
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},
{
"id": 990786682070659200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:12:32",
"content": "Does the question just ask to factor?",
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},
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"id": 990786773527441400,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:12:54",
"content": "Yup",
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"id": 990786811955675100,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:13:03",
"content": "The first thing I tried to do was to take the binomial squared with the first three terms",
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},
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"id": 990786862505414700,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:13:15",
"content": "thats good",
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},
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"id": 990786870650744800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:13:17",
"content": "How did that go",
"attachments": [],
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},
{
"id": 990786877458120700,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:13:19",
"content": "then?",
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},
{
"id": 990786906633670700,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:13:26",
"content": "What else have you done",
"attachments": [],
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},
{
"id": 990787202160148500,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:14:36",
"content": "This, right? then factor 6x - 6y with common factor 6 (idk if I'm right)",
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"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:14:43",
"content": "i hope both the above suggestions help .... gtg",
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},
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"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "06/26/2022 21:14:59",
"content": "yeah do that",
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"author_name": "McLovin",
"timestamp": "06/26/2022 21:16:09",
"content": "but now idk how to continue",
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"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:16:21",
"content": "common factor with (x-y)?",
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"id": 990787885152227500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "06/26/2022 21:17:19",
"content": "It’s a quadratic of x-y at this point",
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"id": 990788055575187600,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:18:00",
"content": "Ohhh,",
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},
{
"id": 990788393245999100,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:19:20",
"content": "I'm so dumb... thanks!!",
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},
{
"id": 990788519062552600,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:19:50",
"content": "factors of 8 that add to 6",
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},
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"id": 990788647592820900,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:20:21",
"content": ":monkaS:",
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},
{
"id": 990788728316375000,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:20:40",
"content": "what about",
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},
{
"id": 990788759173869600,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:20:48",
"content": "find them",
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},
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"id": 990788961658077200,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:21:36",
"content": "",
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"id": 990788999469744100,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:21:45",
"content": "solved I think",
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},
{
"id": 990789192982343700,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:22:31",
"content": "if anyone can confirm or suggest something 🙏",
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},
{
"id": 990789266688864400,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:22:49",
"content": "that's it lol",
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},
{
"id": 990789781011181600,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:24:51",
"content": "I was not able to relate the expressions :catthumbsup:",
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},
{
"id": 990789814502690800,
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"content": "",
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"id": 990789849479012400,
"author_id": 251927217800478720,
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"timestamp": "06/26/2022 21:25:08",
"content": "wdym",
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},
{
"id": 990789875064250400,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:25:14",
"content": "this",
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},
{
"id": 990789906349563900,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:25:21",
"content": "is basically the same",
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},
{
"id": 990789928147357800,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:25:26",
"content": "yeah",
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},
{
"id": 990789966596554800,
"author_id": 251927217800478720,
"author_name": "AMD",
"timestamp": "06/26/2022 21:25:36",
"content": "they're quadratics!!!",
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},
{
"id": 990790125078343700,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:26:13",
"content": "yup, I was blind :KEK:",
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},
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"id": 990790144208564400,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:26:18",
"content": "Thank you very much to all of you!!",
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},
{
"id": 990790304095436800,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "06/26/2022 21:26:56",
"content": ".close",
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"author_id": 805217272087838700,
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"timestamp": "06/26/2022 21:26:56",
"content": "Channel closed",
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}
] |
help-9
|
9cfad816cd234d1c851dbf0171f345f4
|
196,844 |
[
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"timestamp": "06/27/2022 00:51:08",
"content": "Available help channel!",
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},
{
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"timestamp": "06/27/2022 00:52:23",
"content": "idk where to start",
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"id": 990842418079359000,
"author_id": 958554816701948000,
"author_name": "sobriety.",
"timestamp": "06/27/2022 00:54:01",
"content": "try making a ven diagram and labeling what you do know",
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},
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"content": "@Kihei Has your question been resolved?",
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"timestamp": "06/27/2022 01:11:46",
"content": "hm okay",
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"content": "",
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"timestamp": "06/27/2022 01:20:51",
"content": "?",
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"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "06/27/2022 01:35:47",
"content": "So all the members of y are also in x and z so they are in common but we are already given what they have in common",
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"id": 990855789688270800,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 01:47:09",
"content": "Note that the 15 that X and Y have in common includes the 4 that X, Y and Z have in common",
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"id": 990856028864282600,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 01:48:06",
"content": "So your venn diagram isn’t quite correct",
"attachments": [],
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "06/27/2022 01:57:12",
"content": "okay but what do I do?",
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"author_name": "wideputin",
"timestamp": "06/27/2022 01:58:33",
"content": "More like this",
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{
"id": 990859424799293400,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "06/27/2022 02:01:36",
"content": "oh",
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"author_name": "Kihei",
"timestamp": "06/27/2022 02:01:41",
"content": "wait so where are we going with this lol?",
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"id": 990860805497045000,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 02:07:05",
"content": "In your venn diagram, note that the topmost intersection describes those who are *only* in X and Y, i.e. not in Z",
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"author_name": "ab",
"timestamp": "06/27/2022 02:08:15",
"content": "So if you know that the total number of people in both X and Y is 15, and that 4 of those people are also in Z, can you work out how many people are *only * in X and Y?",
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"id": 990861179092078600,
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"author_name": "ab",
"timestamp": "06/27/2022 02:08:34",
"content": "(I’m not quite sure what fierce is doing, as a side note)",
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"author_name": "ab",
"timestamp": "06/27/2022 02:10:15",
"content": "Oh I see now, yeah their diagram is more correct too, since it takes into account the fact that Y doesn’t have any elements only in Y",
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"author_name": "wideputin",
"timestamp": "06/27/2022 02:10:30",
"content": "They have told that those that are in y are also in either x or z this they are common with either x or z but we are already given the elements that are common in x and y and x and z",
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"id": 990861689085886500,
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"author_name": "ab",
"timestamp": "06/27/2022 02:10:35",
"content": "Yeah",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 02:31:42",
"content": "@Kihei Has your question been resolved?",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "06/27/2022 02:39:22",
"content": "ohh 11?",
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"id": 990871646866919400,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 02:50:10",
"content": "Yeah",
"attachments": [],
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"id": 990871744707432400,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 02:50:33",
"content": "And now use the same logic for the other Y-Z intersection",
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},
{
"id": 990871876081442800,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 02:51:04",
"content": "Finally, using the fact that Y has no elements just in Y, you should be able to answer the question",
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},
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"id": 990874304751218700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "06/27/2022 03:00:43",
"content": "I don't get it, what do I do?",
"attachments": [],
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{
"id": 990876177122091000,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 03:08:10",
"content": "The 4 is also part of the 8, using the same logic as the X-Y intersection part",
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},
{
"id": 990876447109423100,
"author_id": 342498864173023200,
"author_name": "ab",
"timestamp": "06/27/2022 03:09:14",
"content": "To be more precise, 8 is for the total number of things in both Y and Z, and we want to find out how many are in *only* Y and Z",
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"timestamp": "06/27/2022 03:44:00",
"content": "Actually wouldn't you subtract 4 from only one and then add them both to get the elements of y",
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},
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"timestamp": "06/27/2022 04:04:00",
"content": "@Kihei Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 05:04:00",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fdbe6234fe934b3eb52bcbca217cbc0e
|
196,845 |
[
{
"id": 990928145458790400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 06:34:40",
"content": "Available help channel!",
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},
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"id": 990931041667678200,
"author_id": 709050483335102600,
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"content": "Pinned a message.",
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{
"id": 990931106792616000,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 06:46:26",
"content": "I need help with question",
"attachments": [],
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},
{
"id": 990932815539490800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 06:53:13",
"content": "f(9+dx) = f(9) f(dx) = f(9) (f(0) + f'(0) dx). Use the definition of the derivative",
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},
{
"id": 990934164645748700,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 06:58:35",
"content": ":whycat:",
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{
"id": 990934368606363600,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 06:59:24",
"content": "$$f'(x+y)=f'(x)f(y)+f(x)f'(y)$$",
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},
{
"id": 990934506921947100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 06:59:57",
"content": "**QuantumBee**",
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"id": 990934673343537200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:00:36",
"content": "I'd recommend being a bit rigorous regarding with respect to what you're differentiating",
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},
{
"id": 990934857662218200,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:01:20",
"content": "you want to put dx everywhere?",
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},
{
"id": 990934961970364400,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:01:45",
"content": "is it ok to consider y=dx?",
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},
{
"id": 990935077670236200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:02:13",
"content": "Arguably you probably haven't seen how to say that rigorously",
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},
{
"id": 990935370755620900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:03:23",
"content": "Is this calc 1 ?",
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},
{
"id": 990935454645903400,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:03:43",
"content": "yeah",
"attachments": [],
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},
{
"id": 990935474317193200,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:03:47",
"content": "basic calculus",
"attachments": [],
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},
{
"id": 990935509075365900,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:03:56",
"content": "is this right?\n$$f'(9+0)=f'(9)f(0)+f(9)f'(0)$$",
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},
{
"id": 990935519888277500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 07:03:58",
"content": "**QuantumBee**",
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{
"id": 990935702793519100,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "06/27/2022 07:04:42",
"content": "no, should be $$f'(x+y) = f(y)f'(x)$$",
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},
{
"id": 990935713186992100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 07:04:44",
"content": "**秋水**",
"attachments": [
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"id": 990935808301224000,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:05:07",
"content": "how?",
"attachments": [],
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},
{
"id": 990935851959730200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:05:17",
"content": "That's why I say you need to know what you're differentiating with respect to",
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"reference": null
},
{
"id": 990935917789327400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:05:33",
"content": "There's no point talking in terms of x and y when you have no idea what they are",
"attachments": [],
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"reference": null
},
{
"id": 990935922952511500,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:05:34",
"content": ":thonk:",
"attachments": [],
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"reference": null
},
{
"id": 990936176863088600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "06/27/2022 07:06:35",
"content": "Hint: you're taking the derivative of g: t -> f(9+t) at t=0",
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},
{
"id": 990936474390249500,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "06/27/2022 07:07:46",
"content": "derivative respect to x, so f(y) is as a constant",
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},
{
"id": 990936586759856100,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:08:12",
"content": "got it!",
"attachments": [],
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},
{
"id": 990936880814125000,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:09:23",
"content": "so $$f'(9+0)=f(0)f'(9)$$",
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},
{
"id": 990936892419756000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 07:09:25",
"content": "**QuantumBee**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/990936892692394014/709050483335102566.png",
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},
{
"id": 990937015107334300,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:09:55",
"content": "but will it lead us to the answer?",
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},
{
"id": 990937022254448600,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "06/27/2022 07:09:56",
"content": "you can use (0+9)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 990937050075267100,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:10:03",
"content": "umm",
"attachments": [],
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},
{
"id": 990937055548825600,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:10:04",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 990937277922431000,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:10:57",
"content": "$f'(0+9)=f(9)f'(0)=6\\times4=24$",
"attachments": [],
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"reference": null
},
{
"id": 990937287644811300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 07:11:00",
"content": "**QuantumBee**",
"attachments": [
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"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:11:14",
"content": ":catthumbsup:",
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},
{
"id": 990937405915795600,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:11:28",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 990937475478335500,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "06/27/2022 07:11:44",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 990937477395120100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 07:11:45",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5d1d0ae0a8c14398ae447cc923820474
|
196,846 |
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"timestamp": "06/27/2022 07:48:48",
"content": "How do i find the dominant term of",
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"content": "10n^2?",
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"content": "How does log_2(n) grow?",
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"content": "The Dominant term is the first term",
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"content": "n^2 × log(n)",
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"content": "It's the fastest growing out of all the terms",
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"content": "Every other term when divided by the first term tends to zero when n tends to infinity",
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"timestamp": "06/27/2022 08:02:52",
"content": "That's how you find the dominant term",
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"author_name": "George george",
"timestamp": "06/27/2022 08:03:20",
"content": "Ah. Thanks i just found Mathaway, to understand that rate of growth. The log(n) is new to me regarding how it acts.",
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"timestamp": "06/27/2022 08:03:26",
"content": "I know how it grows. Was asking you since you picked 10n^2 over n^2*log_2(n)",
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"content": "If you knew log_2(n) would be above 10 for all n big enough",
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"content": "You wouldn’t have said that",
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"timestamp": "06/27/2022 08:05:35",
"content": "I knew you were asking me. You obviously know your stuff.",
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"timestamp": "06/27/2022 08:06:19",
"content": "Thanks for the helpful advice.",
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"content": ".close",
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] |
help-9
|
46568070636a4c6594c9bb3730c6af63
|
196,847 |
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"timestamp": "06/27/2022 08:19:12",
"content": "Why the values of integration have been changed",
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"content": "Can you post a new screenshot with the circled parts? It's covering part of the expression",
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"timestamp": "06/27/2022 08:23:55",
"content": "Okau",
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"timestamp": "06/27/2022 08:25:25",
"content": "Check this one",
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"content": "@Helpers",
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"content": "@Deleted User Has your question been resolved?",
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"content": "@Deleted User Has your question been resolved?",
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help-9
|
b4875bba87684f2496ddf5ac51465942
|
196,848 |
[
{
"id": 958164190395240400,
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"author_name": "Mathematics Bot",
"timestamp": "03/28/2022 20:42:24",
"content": "Available help channel!",
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},
{
"id": 958165225826312200,
"author_id": 879898869696168000,
"author_name": "nightingale",
"timestamp": "03/28/2022 20:46:31",
"content": "hey",
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},
{
"id": 958165227772461000,
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"content": "Pinned a message.",
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"author_id": 879898869696168000,
"author_name": "nightingale",
"timestamp": "03/28/2022 20:46:52",
"content": "can someone help me with problem D in 6.4?",
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"id": 958167379731419100,
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"timestamp": "03/28/2022 20:55:05",
"content": "anyone?",
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"id": 958167616273383600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/28/2022 20:56:01",
"content": ",w int_(-inf)^a exp(-x^2/2)/sqrt(2pi) = (1-0.1567)",
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{
"id": 958167661370556400,
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"author_name": "TeXit",
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"content": "",
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"timestamp": "03/28/2022 20:56:35",
"content": "There you go",
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"id": 958167910180851700,
"author_id": 879898869696168000,
"author_name": "nightingale",
"timestamp": "03/28/2022 20:57:11",
"content": "What?",
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"id": 958167980347375700,
"author_id": 879898869696168000,
"author_name": "nightingale",
"timestamp": "03/28/2022 20:57:28",
"content": "how did you do it?",
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},
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"id": 958168012433817700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/28/2022 20:57:36",
"content": "What could you possibly be confused about",
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"id": 958168041894604900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/28/2022 20:57:43",
"content": "Do you recognize that function?",
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"id": 958168167111348400,
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"author_name": "nightingale",
"timestamp": "03/28/2022 20:58:12",
"content": "I am just new to statistics",
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"id": 958168391640830000,
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"timestamp": "03/28/2022 20:59:06",
"content": "The standard normal distribution is that function",
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"timestamp": "03/28/2022 20:59:12",
"content": "okay",
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"id": 958168448284889100,
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"timestamp": "03/28/2022 20:59:19",
"content": "Yes",
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"author_name": "EndTimes",
"timestamp": "03/28/2022 20:59:31",
"content": "And we want to find the area under that curve",
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"id": 958168933821710300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/28/2022 21:01:15",
"content": "The specific z value for which 15.87% of the area is to the right of z",
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"id": 958168979065700400,
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"timestamp": "03/28/2022 21:01:26",
"content": "yes",
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"timestamp": "03/28/2022 21:02:19",
"content": "Have you taken calculus?",
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"author_name": "nightingale",
"timestamp": "03/28/2022 21:04:30",
"content": "not yet",
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"timestamp": "03/28/2022 21:06:45",
"content": "Well then",
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"timestamp": "03/28/2022 21:06:53",
"content": "You probably need a table for this then",
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"timestamp": "03/28/2022 21:09:21",
"content": "okay",
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"timestamp": "03/28/2022 21:24:21",
"content": "@nightingale Has your question been resolved?",
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"timestamp": "03/28/2022 21:55:34",
"content": "hello?",
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"content": "@nightingale Has your question been resolved?",
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] |
help-9
|
d3a1a13ae5604cf69e742bf3187c4484
|
196,849 |
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"content": "set up an equation maybe?",
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"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "06/27/2022 10:11:34",
"content": "what do you know about a point (x,y) on the parabola?",
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"content": "@newton Has your question been resolved?",
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"content": "@newton Has your question been resolved?",
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"timestamp": "06/27/2022 11:57:42",
"content": "@newton Has your question been resolved?",
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"content": "@newton Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
699e1300d1d549e7988e728dc6bafbeb
|
196,850 |
[
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"author_id": 826777221527240700,
"author_name": "2 x 47 x 71",
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"content": "is my proof correct? i want to show that for all n >= 3 the inequality 2^n + 3^n + 4^n < 5^n holds:",
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"timestamp": "06/27/2022 17:33:25",
"content": "right",
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"author_name": "2 x 47 x 71",
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] |
help-9
|
e3dd2a28c25c45b38a787d6975917434
|
196,851 |
[
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"content": "Available help channel!",
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"id": 991102310082162700,
"author_id": 846399925871706100,
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"timestamp": "06/27/2022 18:06:44",
"content": "how do i find the value of B in this",
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"id": 991102545953034200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:07:40",
"content": "System of equations",
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"timestamp": "06/27/2022 18:08:25",
"content": "so how will i apply this to the question since i have 2 different values of X and Y",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:08:44",
"content": "Isolate A or B in 1 equation",
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},
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"id": 991102843576664000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:08:51",
"content": "Replace it in 2nd equation",
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"author_id": 265853506664136700,
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"timestamp": "06/27/2022 18:09:05",
"content": "Solve 1 variable equation like you normally would",
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"id": 991103056441770000,
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"timestamp": "06/27/2022 18:09:42",
"content": "alright ty give me a min whilst i do that",
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"timestamp": "06/27/2022 18:11:37",
"content": "so this is what i got in the first equation",
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"timestamp": "06/27/2022 18:11:59",
"content": "how do i solve this for B only ?",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:12:25",
"content": "How does it turn into that?",
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"id": 991103826339844100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:12:46",
"content": "A * ln(1)+B=A * B?",
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"id": 991104146738512000,
"author_id": 846399925871706100,
"author_name": "aa8",
"timestamp": "06/27/2022 18:14:02",
"content": "oh so you solved both equations simutanously",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:14:16",
"content": "No just saying your algebra is nonsense",
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"id": 991104366893342800,
"author_id": 846399925871706100,
"author_name": "aa8",
"timestamp": "06/27/2022 18:14:54",
"content": "Here when you said isolate either A or B \nwhat did you mean by Isolate ?",
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"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:15:15",
"content": "Its not even needed here looking at the values",
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"id": 991104479342624900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:15:21",
"content": "What is A*ln(1)+B",
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},
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"id": 991104496354742300,
"author_id": 265853506664136700,
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"timestamp": "06/27/2022 18:15:25",
"content": "Calculate that correctly",
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"id": 991104585668231300,
"author_id": 846399925871706100,
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"timestamp": "06/27/2022 18:15:47",
"content": "A * ln(1) + B = B",
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},
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"id": 991104602147672000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:15:50",
"content": "Okay",
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"id": 991104603896688800,
"author_id": 846399925871706100,
"author_name": "aa8",
"timestamp": "06/27/2022 18:15:51",
"content": "Since ln(1) = 0",
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"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:15:58",
"content": "So why did you write A*B",
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"id": 991104679238975600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "06/27/2022 18:16:09",
"content": "So now you have 31=B don’t you?",
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"id": 991104741914464300,
"author_id": 846399925871706100,
"author_name": "aa8",
"timestamp": "06/27/2022 18:16:24",
"content": "didnt calculate it correctly on my calculator",
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"timestamp": "06/27/2022 18:16:28",
"content": "ty for your help",
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"id": 991104777347932200,
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"timestamp": "06/27/2022 18:16:32",
"content": "and your time",
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"author_name": "aa8",
"timestamp": "06/27/2022 18:18:03",
"content": ".close",
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},
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"id": 991105161638445000,
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"content": "Channel closed",
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] |
help-9
|
6f60453e780f4f428cd766a62539eae7
|
196,852 |
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"content": "Can someone show me where I messed up?",
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"content": "I was wrong",
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"content": "It's not a square it is a rectan",
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"id": 991107335265202200,
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"content": ".close",
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help-9
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29bdc6a84da14aaba8df0dad64f7501a
|
196,853 |
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"content": "What are you supposed to find?",
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"content": "Perimeter and area",
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"content": "I'll do tha5",
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"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:18:24",
"content": "I'm pretty bad with geometry but I think you can measure the perimeter of the whole circle",
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},
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"id": 991120349481685100,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:18:25",
"content": "",
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"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:19:05",
"content": "I'm pretty bad at geometry but that's how I would do it",
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},
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"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:19:07",
"content": "",
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"id": 991120526028312600,
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"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:19:07",
"content": "Number 21",
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},
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"id": 991120671444832300,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:19:42",
"content": "But how can we assume it is a square",
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},
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"id": 991120708031754400,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:19:50",
"content": "For the sides to both be 2x",
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},
{
"id": 991120846364090500,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:20:23",
"content": "Because in the picture you have a semicircle",
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},
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"id": 991120926982799400,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:20:43",
"content": "Yes",
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},
{
"id": 991120947274842100,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:20:47",
"content": "Wait so what is 2x?",
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},
{
"id": 991120961753600100,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:20:51",
"content": "The diameter",
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},
{
"id": 991120972860100600,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:20:54",
"content": "Yes",
"attachments": [],
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},
{
"id": 991121037376901200,
"author_id": 486622768511844350,
"author_name": "SmoothChick",
"timestamp": "06/27/2022 19:21:09",
"content": "And the length and width of the rectangle I made",
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},
{
"id": 991121146755960800,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:21:35",
"content": "Your a smart man smoothchick",
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},
{
"id": 991121171317784700,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:21:41",
"content": "Thanks",
"attachments": [],
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},
{
"id": 991121216435912700,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 19:21:52",
"content": ".close",
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},
{
"id": 991121217895534600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 19:21:52",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
62382f89068142de9611e930bcc3ff99
|
196,854 |
[
{
"id": 991121559395774600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 19:23:13",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 991122605610385400,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 19:27:23",
"content": "Given a point $P = (a,b,c)$, how can I compute the $\\ell_1$ distance to the closest point on the surface $z = (x)(y-1) + (x-1)(y)$?",
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},
{
"id": 991122607975956500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 19:27:23",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 991122616842715100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 19:27:26",
"content": "**TheZachMan**",
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 19:40:30",
"content": "find the function for distance and minimise it",
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},
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"id": 991127166001631400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 19:45:30",
"content": "@TheZachMan Has your question been resolved?",
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"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 20:00:41",
"content": "So that reduces it to minimizing four versions of \n$$\n\\pm x \\pm y + |(x)(1-y) + (1-x)(y) - c|\n$$",
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},
{
"id": 991131159813701600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 20:01:22",
"content": "**TheZachMan**",
"attachments": [
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"id": 991131299836346400,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 20:01:56",
"content": "contingent to inequalilies on x,a and y,b",
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},
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 20:03:10",
"content": "is this your distance function?",
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"id": 991132558723141800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 20:06:56",
"content": "@TheZachMan",
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"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 20:08:06",
"content": "no",
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},
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"id": 991132913397669900,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 20:08:20",
"content": "the distance function is the $l_1$ distance function",
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},
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"id": 991132923489157100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 20:08:23",
"content": "**TheZachMan**",
"attachments": [
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"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 20:09:17",
"content": "that is, $d(\\langle a, b, c \\rangle, \\langle x, y, z \\rangle ) = |x-a|+|y-b|+|z-c|$",
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"id": 991133162816155800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 20:09:20",
"content": "**TheZachMan**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991133162447065128/192406306924134409.png",
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 20:12:57",
"content": "what's this",
"attachments": [],
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"name": "TheZachMan",
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"nickname": "TheZachMan",
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"id": 991137137451880600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 20:25:08",
"content": "this guy",
"attachments": [],
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},
{
"id": 991140702459285600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 20:39:17",
"content": "@TheZachMan Has your question been resolved?",
"attachments": [],
"mentions": [
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"name": "TheZachMan",
"discriminator": "7097",
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],
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{
"id": 991141349598437500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 20:41:52",
"content": "No one can help you buddy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991146443941367800,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:02:06",
"content": "\"how do I minimize this?\" \"find the distance function and minimize it\"",
"attachments": [],
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"reference": null
},
{
"id": 991146553257504900,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:02:32",
"content": "like, IDK what you think you're saying, but that seems pretty useless to me",
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},
{
"id": 991146706437681200,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:03:09",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 991155543391621200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/27/2022 21:38:16",
"content": "What are you stuck on",
"attachments": [],
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},
{
"id": 991155603852496900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/27/2022 21:38:30",
"content": "Do you know how to calculate the distance between two points?",
"attachments": [],
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},
{
"id": 991155616418644100,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:38:33",
"content": "well, I don't know where to start, honestly",
"attachments": [],
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"reference": null
},
{
"id": 991155629446135900,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:38:36",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991155634596749400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/27/2022 21:38:38",
"content": "Using l1 metric",
"attachments": [],
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},
{
"id": 991155675705114600,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:38:47",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 991155727097925800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "06/27/2022 21:39:00",
"content": "Then do that for P and z",
"attachments": [],
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},
{
"id": 991155789639188500,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:39:15",
"content": "but z is a surface",
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},
{
"id": 991155839891161200,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:39:27",
"content": "well, yknow",
"attachments": [],
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},
{
"id": 991156292427194500,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:41:14",
"content": "like, I can get \n$$\n|x - a| + |y - b| + |(x)(y-1) + (x-1)(y) - c|\n$$\npretty easily, but I have no idea how to minimize that",
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},
{
"id": 991156305135943800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/27/2022 21:41:17",
"content": "**TheZachMan**",
"attachments": [
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"author_name": "TheZachMan",
"timestamp": "06/27/2022 21:43:12",
"content": "I guess I can just break it into cases and solve for the cases where the derivative is zero, but I'd think the critical values will fall outside the range of acceptable inputs because of the last component?",
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"author_name": "Mathematics Bot",
"timestamp": "06/27/2022 22:43:12",
"content": "@TheZachMan Has your question been resolved?",
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"id": 991180730648510600,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:18:21",
"content": "Hey stop being a jerk",
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"id": 991180805944639500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 23:18:39",
"content": "no thanks",
"attachments": [],
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},
{
"id": 991181157498626000,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:20:03",
"content": "Yk its crazy how pathetic and miserable you have to be to just be mean for no reason its crazy",
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"id": 991181227669340300,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:20:19",
"content": "Maybe you can find a mathematical equation to fix your life buddy",
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},
{
"id": 991181402374684700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 23:21:01",
"content": "how bout you go fuck yourself, eh?",
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},
{
"id": 991181428232564700,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:21:07",
"content": "Eat air",
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},
{
"id": 991181446964330500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 23:21:12",
"content": "what",
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},
{
"id": 991181468258816100,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:21:17",
"content": "Eat air",
"attachments": [],
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"reference": null
},
{
"id": 991181506640871600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 23:21:26",
"content": "sure",
"attachments": [],
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},
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"id": 991181536760180700,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:21:33",
"content": "Yeah you air head",
"attachments": [],
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},
{
"id": 991181560122458200,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:21:39",
"content": "Eat what you are",
"attachments": [],
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},
{
"id": 991181718398697500,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:22:16",
"content": "I hope I didn't hit too hard from home buddy",
"attachments": [],
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"id": 991181875760595100,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "06/27/2022 23:22:54",
"content": "what do you want? a fight?",
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},
{
"id": 991181956236714000,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:23:13",
"content": "How will you fight me?",
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},
{
"id": 991182002164338800,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:23:24",
"content": "Gonna challenge me to a math olympaid duel or sum?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991182020573151200,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:23:28",
"content": "Your rude",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991182041464975400,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:23:33",
"content": "Apologize to the person",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991182103859445800,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:23:48",
"content": "Can't you use common sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183624764395600,
"author_id": 756282870649192400,
"author_name": "Miguel <>",
"timestamp": "06/27/2022 23:29:51",
"content": "please can someone help me to solve this please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183678111760500,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:30:04",
"content": "Wants the prob",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183717202677800,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:30:13",
"content": "What's *",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183751809863700,
"author_id": 756282870649192400,
"author_name": "Miguel <>",
"timestamp": "06/27/2022 23:30:21",
"content": "Analyze in detail the behavior of the first elements of the following\nnumerical sequences and obtain their general formula.",
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{
"id": 991183751533056000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/991183751533056040/Captura_de_Pantalla_2022-06-27_a_las_22.28.53.png",
"fileName": "Captura_de_Pantalla_2022-06-27_a_las_22.28.53.png",
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},
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"id": 991183804209311900,
"author_id": 756282870649192400,
"author_name": "Miguel <>",
"timestamp": "06/27/2022 23:30:34",
"content": "this please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183897230581800,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 23:30:56",
"content": "go post it in an unused help channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991183922631278700,
"author_id": 192406306924134400,
"author_name": "TheZachMan",
"timestamp": "06/27/2022 23:31:02",
"content": "like #help-12｜ebony",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991184131729928200,
"author_id": 756282870649192400,
"author_name": "Miguel <>",
"timestamp": "06/27/2022 23:31:52",
"content": "ok i will do it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991184172913787000,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:32:02",
"content": "Skyline",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991184201338589300,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:32:08",
"content": "Don't they just increase by 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991184483304882300,
"author_id": 756282870649192400,
"author_name": "Miguel <>",
"timestamp": "06/27/2022 23:33:16",
"content": "not all letters, the c has a different pattern",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991185294164500600,
"author_id": 667534678978461800,
"author_name": "Ali Akbar",
"timestamp": "06/27/2022 23:36:29",
"content": "It increases by 5/5 times",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991214123041964200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 01:31:02",
"content": "@TheZachMan Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "TheZachMan",
"discriminator": "7097",
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],
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},
{
"id": 991275608652927100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 05:35:22",
"content": "@TheZachMan Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 192406306924134400,
"name": "TheZachMan",
"discriminator": "7097",
"nickname": "TheZachMan",
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],
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},
{
"id": 991336007683276800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 09:35:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f5dd73b952af4bec868856a20a77166d
|
196,855 |
[
{
"id": 991336260574654600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 09:36:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991337831194710100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:42:37",
"content": "$\\sqrt{5-2\\sqrt{2}\\sqrt{3}} + \\sqrt{2} - \\sqrt{3}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991337833543508100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 09:42:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 991337831194710100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 991337840787079200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 09:42:39",
"content": "**MarveI**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991337840900329512/483962566977126401.png",
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},
{
"id": 991337861548871800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:42:44",
"content": "$5-2\\sqrt{2}\\sqrt{3} = 2 + 3 - 2\\sqrt{2}\\sqrt{3}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991337871032188900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 09:42:46",
"content": "**MarveI**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991337871208366170/483962566977126401.png",
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"id": 991337911947644900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:42:56",
"content": "ann simplified the equation into this",
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"name": "TeXit",
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"nickname": "TeXit",
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}
],
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},
{
"id": 991337993954676700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:43:15",
"content": "but i dont know how to proceed after that",
"attachments": [],
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"reference": null
},
{
"id": 991338207197270100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:44:06",
"content": "context:",
"attachments": [],
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"reference": null
},
{
"id": 991338285274239000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 09:44:25",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991338284846436484/483962566977126401.png",
"fileName": "483962566977126401.png",
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},
{
"id": 991340056105209900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 09:51:27",
"content": "$(\\sqrt{2})^2 + (\\sqrt{3})^2 - 2\\sqrt{2}\\sqrt{3} = (\\sqrt{2}-\\sqrt{3})^2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991340064841932800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 09:51:29",
"content": "**Ann**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991340064997126234/183668144404037632.png",
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},
{
"id": 991340813965598800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:54:28",
"content": "oh",
"attachments": [],
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},
{
"id": 991340835171995800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:54:33",
"content": "ok ty",
"attachments": [],
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},
{
"id": 991340944286818300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:54:59",
"content": "(a-b)^2 = a^2 + b^2 - 2ab",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991340952096616600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:55:01",
"content": "i forgot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991340970853548000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:55:05",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991340976499077100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 09:55:07",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 991340978092912800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 09:55:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8a615043a2224930bae0572cc06872ca
|
196,856 |
[
{
"id": 991343747788963800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 10:06:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991347628380000300,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:21:32",
"content": "The monthly cost of local calls on a mobile phone\n$7.50 plus 8 cents per call. Write an expression for\nThe total cost, in dollars, of p local calls in n months",
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},
{
"id": 991347630686884000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 10:21:33",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 991347628380000300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 991347710202495000,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:21:52",
"content": "i honestly can’t understand wether or not we include the extra eight cents per call?",
"attachments": [],
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},
{
"id": 991347906630135900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:22:39",
"content": "not sure what you mean",
"attachments": [],
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"reference": null
},
{
"id": 991348021751197800,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:23:06",
"content": "well, it’s a little hard to understand, do you have an expression?",
"attachments": [],
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},
{
"id": 991348092009988100,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:23:23",
"content": "it’s $7.5m + $0.8p, right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991348120103428200,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:23:30",
"content": "or is it just $7.5m",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991348323757871100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:24:18",
"content": "well you have to pay for the calls you make..",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991348332121313400,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:24:20",
"content": "7.5n* but",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991348346138665000,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:24:24",
"content": "and 0.08p",
"attachments": [],
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"reference": null
},
{
"id": 991348384252301400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:24:33",
"content": "and yeh, ^",
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"reference": null
},
{
"id": 991348423599063200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 10:24:42",
"content": "8 cent is $0.4 no? (american currency is hard)",
"attachments": [],
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"reference": null
},
{
"id": 991348438665023500,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:24:46",
"content": "what",
"attachments": [],
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},
{
"id": 991348459875598500,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:24:51",
"content": "8 cent is 0.08$",
"attachments": [],
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"reference": null
},
{
"id": 991348496403804200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 10:24:59",
"content": "oh yeah",
"attachments": [],
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},
{
"id": 991348576716333000,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:25:19",
"content": "so, does anyone have an expression i could use?",
"attachments": [],
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},
{
"id": 991348609247363100,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:25:26",
"content": "i keep getting contradicted, lol",
"attachments": [],
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},
{
"id": 991348715413582000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:25:52",
"content": "consider the costs from monthly fees",
"attachments": [],
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},
{
"id": 991348736515133600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:25:57",
"content": "and then consider the costs from calls made",
"attachments": [],
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},
{
"id": 991348782065254400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:26:08",
"content": "the total cost will be the sum of those two things",
"attachments": [],
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},
{
"id": 991348896280350700,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:26:35",
"content": "ahh, okay, so it’s $7.5n + $0.08p, right?",
"attachments": [],
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"reference": null
},
{
"id": 991348923270705200,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:26:41",
"content": "total cost = $7.5n+$0.08p, n = amount of months, p = amount of calls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349001309917300,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:27:00",
"content": "nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349148647436400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:27:35",
"content": "p was the variable used to represent the number of calls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349171036618800,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:27:40",
"content": "yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349173003755500,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:27:41",
"content": "oh really",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349193421623300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 10:27:46",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349200040251500,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:27:47",
"content": "ok well just change that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349270668116000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 10:28:04",
"content": "**meek**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/991349270772977775/343491628012404737.png",
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},
{
"id": 991349297339695200,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:28:10",
"content": "okay, wait, am i allowed to ask another question?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349342143270900,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 10:28:21",
"content": "nothing is stopping u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349347495202800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:28:22",
"content": "was that your question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991349356412289000,
"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:28:24",
"content": "nice",
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"author_id": 445549283014475800,
"author_name": "Ink",
"timestamp": "06/28/2022 10:29:05",
"content": "if Jason and Nancy have a total of $11, and Nancy has $10 more than Jason. How much money does each of them have?",
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"author_name": "meek",
"timestamp": "06/28/2022 10:29:55",
"content": "id make jason x and nancy y and see what happens from there",
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},
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"id": 991349739788435500,
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"content": "if you can't see it intuitively,\nyou can consider setting up some equations",
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"timestamp": "06/28/2022 10:30:07",
"content": "i'd use J and N",
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},
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"author_name": "meek",
"timestamp": "06/28/2022 10:30:14",
"content": "okay sure, that works too",
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},
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "06/28/2022 10:30:17",
"content": "why not just x and x+10",
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},
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"id": 991349832348336100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 10:30:18",
"content": "why are people so obsessed with using x and y as goto variables",
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},
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"id": 991349855387648000,
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"author_name": "Ink",
"timestamp": "06/28/2022 10:30:23",
"content": "lmao",
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},
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"author_name": "ramonov",
"timestamp": "06/28/2022 10:30:56",
"content": "given a choice, use symbols that are directly related to the problem to avoid confusing youself",
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},
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"timestamp": "06/28/2022 10:31:11",
"content": "my bad :UsoppGrief:",
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"author_name": "Ionut",
"timestamp": "06/28/2022 10:31:30",
"content": "They were there as the first variables taught in school, but I still agree with you",
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"id": 991350277632426000,
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"author_name": "Ink",
"timestamp": "06/28/2022 10:32:04",
"content": "so, is the answer j = $0.5 and nancy = $10.5, at all?",
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},
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"id": 991350311342063700,
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"author_name": "meek",
"timestamp": "06/28/2022 10:32:12",
"content": "yep",
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"id": 991350332108066800,
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"timestamp": "06/28/2022 10:32:17",
"content": "yes",
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},
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"author_name": "Ink",
"timestamp": "06/28/2022 10:32:41",
"content": "ahh, okay, thanks!",
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},
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"timestamp": "06/28/2022 10:47:41",
"content": "@Ink Has your question been resolved?",
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"timestamp": "06/28/2022 10:48:30",
"content": "Channel closed",
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}
] |
help-9
|
f2502595432b4397b05087dfc5838ec1
|
196,857 |
[
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"timestamp": "06/28/2022 10:49:30",
"content": "Available help channel!",
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},
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"id": 991357667035594800,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "06/28/2022 11:01:26",
"content": "If we differentiate x^-2... Does the minus sign go forward along with 2?",
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"timestamp": "06/28/2022 11:02:35",
"content": "are you talking about $x^-2$ because thats just $\\frac{1}{x^2}$",
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"id": 991357967091900500,
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"timestamp": "06/28/2022 11:02:37",
"content": "**meek**",
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"content": "er",
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"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 11:02:52",
"content": "kinda messed up the formatting but its ^-2",
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"id": 991358086465990800,
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"author_name": "ramonov",
"timestamp": "06/28/2022 11:03:06",
"content": "wdym by \"go forward along with 2\"",
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"id": 991358205605195800,
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"author_name": "ramonov",
"timestamp": "06/28/2022 11:03:34",
"content": "just apply power law like you would for any other numerical exponent",
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"id": 991358283845742700,
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"author_name": "meek",
"timestamp": "06/28/2022 11:03:53",
"content": "actually right",
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"id": 991358302724309000,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 11:03:57",
"content": "i made a mistake my bad",
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"id": 991358408542396400,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 11:04:23",
"content": "ignore what i was saying i misread your question",
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"id": 991358423054684200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "06/28/2022 11:04:26",
"content": "$$\\dv{x}x^n = nx^{n-1}$$\ndoesn't matter whether $n$ is positive or negative",
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},
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"id": 991358424573030500,
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"timestamp": "06/28/2022 11:04:26",
"content": "yes the -2 goes forward",
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},
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"author_name": "TeXit",
"timestamp": "06/28/2022 11:04:29",
"content": "**ℝamonov**",
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"timestamp": "06/28/2022 11:04:33",
"content": "so it'd be like",
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"id": 991358547193512100,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 11:04:56",
"content": "$$-2x^{n-1}$$",
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},
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"id": 991358559155671200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "06/28/2022 11:04:59",
"content": "**meek**",
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"author_name": "Drûnk_Piratë",
"timestamp": "06/28/2022 11:05:02",
"content": "Okkk",
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},
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"id": 991358585504276600,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "06/28/2022 11:05:05",
"content": "and n-1 = -2-1 = -3",
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},
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"id": 991358746934652900,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "06/28/2022 11:05:43",
"content": "Thanks",
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},
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"id": 991358760595492900,
"author_id": 564448947049988100,
"author_name": "Drûnk_Piratë",
"timestamp": "06/28/2022 11:05:47",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
31baccd039ae47d6b402879b5410d86c
|
196,858 |
[
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"timestamp": "06/28/2022 11:11:28",
"content": "Available help channel!",
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},
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"id": 991361379476983800,
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/28/2022 11:16:25",
"content": "Is 5.75 correct?",
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"id": 991363157790572700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 11:23:15",
"content": "doesn't look like it",
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"id": 991363182666985500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 11:23:21",
"content": "or at least my answer does not match yours",
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"id": 991363203693027500,
"author_id": 183668144404037630,
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"timestamp": "06/28/2022 11:23:26",
"content": "show work?",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/28/2022 11:24:10",
"content": "2.25 + 2.5 + 1 = 5.75",
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"id": 991364395697451000,
"author_id": 183668144404037630,
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"timestamp": "06/28/2022 11:28:10",
"content": "where did these numbers come from?",
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"id": 991364439163031700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 11:28:20",
"content": "did you pull 2.25, 2.5 and 1 out of your ass?",
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"timestamp": "06/28/2022 11:39:10",
"content": "@AirToastie Has your question been resolved?",
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"author_name": "daveamayombo",
"timestamp": "06/28/2022 11:39:51",
"content": "The first two, 2.25 and 2.5, look correct, but the 1 is wrong... Look at that one again.",
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"content": "Oh, it's 1/2/2 + 3/2",
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"timestamp": "06/28/2022 11:40:37",
"content": "Thanks",
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"timestamp": "06/28/2022 11:40:41",
"content": "Channel closed",
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}
] |
help-9
|
dd8a10c3f31b495f9e07590078535166
|
196,859 |
[
{
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"timestamp": "03/29/2022 01:13:02",
"content": "Available help channel!",
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{
"id": 958233589923840000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/29/2022 01:18:10",
"content": "create two rational experssions that have binomial denominators and add up to : x+7/2x^2+x-6",
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"timestamp": "03/29/2022 01:33:39",
"content": "@Deleted User Has your question been resolved?",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "03/29/2022 01:37:48",
"content": "make 2x^2+x-6 into (ax+b)*(cx+D)",
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},
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"id": 958238840781439000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "03/29/2022 01:39:02",
"content": "basically ax+cx=2x^2\nax*D+b*cx=x\nb*D=-6",
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},
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"timestamp": "03/29/2022 02:04:04",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "03/29/2022 02:05:32",
"content": "thanks",
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"content": ".close",
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help-9
|
408c004bd1f94ede8375c699cad2eaf3
|
196,860 |
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"author_name": "rederon (the thinker)",
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"timestamp": "06/28/2022 11:42:35",
"content": "Pinned a message.",
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"author_name": "rederon (the thinker)",
"timestamp": "06/28/2022 11:43:05",
"content": "Is the way I show my work correct or is there another way of solving that’s easier",
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},
{
"id": 991368236534874100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "06/28/2022 11:43:26",
"content": "Chain rules?",
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},
{
"id": 991368496493633500,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "06/28/2022 11:44:28",
"content": "Idek what it’s called tbh",
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},
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"id": 991368524280901600,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "06/28/2022 11:44:34",
"content": "Did I even get the answer right lol",
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},
{
"id": 991368534854746100,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "06/28/2022 11:44:37",
"content": "😹",
"attachments": [],
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},
{
"id": 991368831291359200,
"author_id": 823365294286176300,
"author_name": "rederon (the thinker)",
"timestamp": "06/28/2022 11:45:48",
"content": ".close",
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},
{
"id": 991368835888324600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 11:45:49",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
53115f2ed1f340b5b7315ea6de015f83
|
196,861 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 11:52:37",
"content": "Available help channel!",
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},
{
"id": 991377446496641000,
"author_id": 401874254771257340,
"author_name": "martinklaus",
"timestamp": "06/28/2022 12:20:02",
"content": "I have two surfaces with different height. I know that the second is 0,8 degree lower than first one. How high I need to raise the second one to get a flat surface.\nThe distance between the two points is 33cm",
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},
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"content": "Pinned a message.",
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"timestamp": "06/28/2022 12:35:02",
"content": "@martinklaus Has your question been resolved?",
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"timestamp": "06/28/2022 12:35:34",
"content": "Channel closed",
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}
] |
help-9
|
77169715fda04746be6fdd0359583090
|
196,862 |
[
{
"id": 991389903562752000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 13:09:32",
"content": "Available help channel!",
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"reference": null
},
{
"id": 991392410783453200,
"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:19:29",
"content": "Hello, why is every 3 by 3 matrix with entries aij=ci+dj singular? For example,",
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},
{
"id": 991392413581070300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 13:19:30",
"content": "Pinned a message.",
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"author_name": "starrynight",
"timestamp": "06/28/2022 13:21:40",
"content": "A is a singular matrix",
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},
{
"id": 991394854456283400,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "06/28/2022 13:29:12",
"content": "because \n`second row - first row = third row - second row`",
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},
{
"id": 991394855928479700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "06/28/2022 13:29:12",
"content": "intuitively, the elements depend only on 2 parameters and not on three. otherwise you can notice that the sum of the first and third column is double the second in this case",
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{
"id": 991395504015548500,
"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:31:47",
"content": "ohh okay",
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},
{
"id": 991395553919385600,
"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:31:59",
"content": "but then how does the fact that each element is a linear combination of the unit vectors play into this?",
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},
{
"id": 991395897034408100,
"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:33:21",
"content": "like I get how each element depends only on two parameters, but aren't linear combinations of whole rows and columns not individual elements?",
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},
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"id": 991396091918569500,
"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:34:07",
"content": "oh never mind, I understand now, thank you:)",
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},
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"author_id": 588110925723336700,
"author_name": "starrynight",
"timestamp": "06/28/2022 13:34:09",
"content": ".close",
"attachments": [],
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},
{
"id": 991396100093259900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 13:34:09",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c137a20c52f144efb08ae13fb417cb0b
|
196,863 |
[
{
"id": 991400010480615600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 13:49:41",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 991401156419006500,
"author_id": 719807591869317200,
"author_name": "Invisible",
"timestamp": "06/28/2022 13:54:15",
"content": "hows this done?",
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"content": "Pinned a message.",
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"timestamp": "06/28/2022 14:09:15",
"content": "@Invisible Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
262a4ef0c3f44be5af329209bc31c7b0
|
196,864 |
[
{
"id": 991414630255694000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 14:47:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 991416332694335500,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "06/28/2022 14:54:33",
"content": "How does the signs in the equation change the answer? (originally I calculated (7m+9n)^2",
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},
{
"id": 991416334577565800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 14:54:33",
"content": "Pinned a message.",
"attachments": [],
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"id": 991416385278328800,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "06/28/2022 14:54:45",
"content": "",
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{
"id": 991416594406326400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 14:55:35",
"content": "well expanding (7m+9n)^2 wouldn't have given you any negative coefficients now would it",
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},
{
"id": 991416684508364900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "06/28/2022 14:55:57",
"content": "also strongly suggest writing your nines in a way that doesn't make them look like fours,",
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"reference": null
},
{
"id": 991416695346450600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/28/2022 14:55:59",
"content": "(a+b)^2 = a^2 + 2ab + b^2",
"attachments": [],
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"reference": null
},
{
"id": 991416787298156500,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "06/28/2022 14:56:21",
"content": "(a-b)^2 = a^2 - 2ab + b^2",
"attachments": [],
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"reference": null
},
{
"id": 991417531392872600,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "06/28/2022 14:59:19",
"content": "Ahh so there just happens to be two formulas to memorize not just one lol",
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},
{
"id": 991417540481929300,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "06/28/2022 14:59:21",
"content": "Thank you guys",
"attachments": [],
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"reference": null
},
{
"id": 991417547838730400,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "06/28/2022 14:59:23",
"content": ".close",
"attachments": [],
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},
{
"id": 991417549482897400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "06/28/2022 14:59:23",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9220c21226c948bdadc02ac9187f43e7
|
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