mikeion/mathconverse_pseudonyms · Datasets at Hugging Face

conversation_id int64 1 206k	help_channel stringlengths 6 7	__rowid__ stringlengths 32 32	author_id stringlengths 17 19	author_name stringlengths 6 21	timestamp stringlengths 19 19	content stringlengths 0 3.97k	url stringlengths 0 591	fileName stringlengths 0 513	student int64 0 1	helper int64 0 1	id stringlengths 3 19	name stringlengths 3 21	nickname stringlengths 3 21	isBot stringclasses 3 values	__index_level_0__ int64 0 5.45M
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:54:17	The next step was to put the limits down and get an expression: ( t - 0 ) = the integral value at T - integral value at T(0)			0	1	457986659900719109	Rebekah Thomas	Rebekah Thomas	False	5,448,150
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:55:28	since ln \|a\| - ln \|b\| = ln (\|a\|/\|b\|), I was able to combine the absolute values as: ln(\|a/b\|)			0	1	nan	nan	nan	nan	5,448,151
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:56:25	the question asks not to isolate "T" but to determine the "t" when T tends to +infinity			0	1	nan	nan	nan	nan	5,448,152
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:57:14	As such, you can just put e^(-T) part of the integral to be "0" [why?] And you'll have an equation in "t" and "h"			0	1	nan	nan	nan	nan	5,448,153
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:57:41	the other part of your question is to determine a condition on "h" for which the ignition actually occurs so...			0	1	nan	nan	nan	nan	5,448,154
205,800	help-1	56fad1cd1b3c451aa125875122ae1971	706934233012371577	Darius Clark	01/31/2022 12:58:16	that I'll leave for you to figure unless you ping me back after understanding every step until that point :o			0	1	nan	nan	nan	nan	5,448,155
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:23:42		https://cdn.discordapp.c…_10.23.05_AM.png	Screen_Shot_2022-01-31_at_10.23.05_AM.png	1	0	nan	nan	nan	nan	5,448,156
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:23:42		https://cdn.discordapp.c…_10.23.10_AM.png	Screen_Shot_2022-01-31_at_10.23.10_AM.png	1	0	nan	nan	nan	nan	5,448,157
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:24:02	I need to find the range of possible values for each variable			1	0	nan	nan	nan	nan	5,448,158
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:24:12	but im unsure on how to do this or even where to start			1	0	nan	nan	nan	nan	5,448,159
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:25:05	please help! ty			1	0	nan	nan	nan	nan	5,448,160
205,801	help-1	352455a904034ae098ec10bf9853d9af	456226577798135808	Don Thomas	01/31/2022 13:25:31	How do i solve this?	https://cdn.discordapp.c…092/IMG_2386.png	IMG_2386.png	0	1	nan	nan	nan	nan	5,448,161
205,801	help-1	352455a904034ae098ec10bf9853d9af	456226577798135808	Don Thomas	01/31/2022 13:28:12	Don't just post it everywhere see #❓how-to-get-help			0	1	nan	nan	nan	nan	5,448,162
205,801	help-1	352455a904034ae098ec10bf9853d9af	456226577798135808	Don Thomas	01/31/2022 13:29:08	Ok			0	1	nan	nan	nan	nan	5,448,163
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:32:05	@Helpers im very sorry ik its not 15 minutes yet			1	0	nan	nan	nan	nan	5,448,164
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:32:12	but			1	0	510789298321096704	Christie Moore	Christie Moore	True	5,448,165
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:32:18	all my problems			1	0	nan	nan	nan	nan	5,448,166
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:32:21	are simular to this			1	0	nan	nan	nan	nan	5,448,167
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:32:24	and i wish to advance more			1	0	nan	nan	nan	nan	5,448,168
205,801	help-1	352455a904034ae098ec10bf9853d9af	261933205387477002	Nicolas Miller	01/31/2022 13:33:21	being impatient isn't going to help you faster			0	1	nan	nan	nan	nan	5,448,169
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:33:48	im sorry im not trying to be impatient its that i have a lot of study material to go through and i wish to finish studying this section			1	0	nan	nan	nan	nan	5,448,170
205,801	help-1	352455a904034ae098ec10bf9853d9af	679416081755930655	Jayla Harris	01/31/2022 13:33:57	i apologize			1	0	nan	nan	nan	nan	5,448,171
205,801	help-1	352455a904034ae098ec10bf9853d9af	261933205387477002	Nicolas Miller	01/31/2022 13:36:53	then go study something else first and come back			0	1	nan	nan	nan	nan	5,448,172
205,801	help-1	352455a904034ae098ec10bf9853d9af	244129917732651008	Lloyd Garcia	01/31/2022 13:40:22	a _range_ of possible values ?			0	1	nan	nan	nan	nan	5,448,173
205,801	help-1	352455a904034ae098ec10bf9853d9af	244129917732651008	Lloyd Garcia	01/31/2022 13:41:28	to solve for x i would start off by defining all relevant angles in terms of x, and come up with an equation			0	1	nan	nan	nan	nan	5,448,174
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:56:32		https://cdn.discordapp.c…BC2F3A0FB4AD.jpg	B6302C01-303B-4B9C-A264-BC2F3A0FB4AD.jpg	1	0	nan	nan	nan	nan	5,448,175
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:56:49	confused on all the steps			1	0	nan	nan	nan	nan	5,448,176
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:56:53	i understand g(-8) is -10			1	0	nan	nan	nan	nan	5,448,177
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:57:09	confused on the 2f(-3) part			1	0	nan	nan	nan	nan	5,448,178
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:57:24	what part confuses you?			0	1	nan	nan	nan	nan	5,448,179
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:57:29	not sure what to plug in			1	0	nan	nan	nan	nan	5,448,180
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:57:34	-3?			0	1	nan	nan	nan	nan	5,448,181
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:57:43	plug in -3 to f(x)			0	1	nan	nan	nan	nan	5,448,182
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:57:46	get a value			0	1	nan	nan	nan	nan	5,448,183
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:57:59	then multiply answer by 2?			1	0	914473169648254987	Theodore Green	Theodore Green	False	5,448,184
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:58:05	yes			0	1	nan	nan	nan	nan	5,448,185
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:58:41	ok i got -26 for that			1	0	nan	nan	nan	nan	5,448,186
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:58:47	the same logic in g(f(2a)) except that you're using a constant in that case			0	1	nan	nan	nan	nan	5,448,187
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:58:47	most confusing part last step			1	0	nan	nan	nan	nan	5,448,188
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:58:51	so			1	0	nan	nan	nan	nan	5,448,189
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:58:57	plug 2a into f first?			1	0	nan	nan	nan	nan	5,448,190
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 14:59:00	then plug that answer into g?			1	0	nan	nan	nan	nan	5,448,191
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:59:01	yes			0	1	nan	nan	nan	nan	5,448,192
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	541800010115710986	Eleanor Martin	01/31/2022 14:59:06	yep			0	1	nan	nan	nan	nan	5,448,193
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 15:00:08	ahh kk got it			1	0	nan	nan	nan	nan	5,448,194
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 15:00:28	ty			1	0	nan	nan	nan	nan	5,448,195
205,802	help-1	412fba52ff2d46b0bb9457a4915b0dce	456226577798135808	Don Thomas	01/31/2022 15:00:55	.close			1	0	nan	nan	nan	nan	5,448,196
205,803	help-1	df7dbbca0e924dba97adf430b794813e	921827858026995792	Bianca Green	01/31/2022 15:24:00	Hi			1	0	nan	nan	nan	nan	5,448,197
205,803	help-1	df7dbbca0e924dba97adf430b794813e	921827858026995792	Bianca Green	01/31/2022 15:24:26	Please what is the name of this lesson?	https://cdn.discordapp.c…2706/unknown.png	unknown.png	1	0	nan	nan	nan	nan	5,448,198
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:03:16	I am to determine if the set ``{f, g, h}`` is ``linearly in/dependent`` where ``f = 1+x``, ``g = 1 + x^2``, ``h = 1 + 2x, x^2``. Transforming it into a matrix and solving you get that they are independent. But how can they be? ``(1+x)*f = h``? Or are only real coefficients allowed?			1	0	nan	nan	nan	nan	5,448,199
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:03:55	suppose they are linearly dependent			0	1	nan	nan	nan	nan	5,448,200
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:02	then there will be some combination			0	1	541081246252531727	Regina Martin	Regina Martin	False	5,448,201
205,804	help-1	ab1824592d9d438b9721cff8b738c804	356908116429897729	Virginia Lopez	01/31/2022 16:04:02	Linear independence means they can't add to create one another			0	1	nan	nan	nan	nan	5,448,202
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:04:07	yes shuri			1	0	nan	nan	nan	nan	5,448,203
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:10	af + bg + ch = 0			0	1	nan	nan	nan	nan	5,448,204
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:13	for some a b c			0	1	nan	nan	nan	nan	5,448,205
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:20	Such that this new function is 0			0	1	541081246252531727	Regina Martin	Regina Martin	False	5,448,206
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:04:21	and the combination is (1+x)f + 0b -1h = 0			1	0	nan	nan	nan	nan	5,448,207
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:22	for all x			0	1	914473169648254987	Theodore Green	Theodore Green	False	5,448,208
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:48	Uhhhhh didn't see your q about coefficients			0	1	nan	nan	nan	nan	5,448,209
205,804	help-1	ab1824592d9d438b9721cff8b738c804	356908116429897729	Virginia Lopez	01/31/2022 16:04:52	The multiplication by (1 + x) is sus			0	1	872024354572103731	Jessica Hill	Jessica Hill	False	5,448,210
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:52	It should say in your question			0	1	nan	nan	nan	nan	5,448,211
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:04:55	What field you are working in			0	1	nan	nan	nan	nan	5,448,212
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:03	If your field includes polynomials, then sure			0	1	nan	nan	nan	nan	5,448,213
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:05:06	yes			1	0	nan	nan	nan	nan	5,448,214
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:08	you can use 1+x as a coefficient			0	1	nan	nan	nan	nan	5,448,215
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:05:09	space of all polynomials			1	0	nan	nan	nan	nan	5,448,216
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:14	no no no			0	1	nan	nan	nan	nan	5,448,217
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:19	Can you show the question			0	1	914473169648254987	Theodore Green	Theodore Green	False	5,448,218
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:26	The Vectors space V is always over a field F			0	1	nan	nan	nan	nan	5,448,219
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:05:31	F is where the coefficients come from			0	1	914473169648254987	Theodore Green	Theodore Green	False	5,448,220
205,804	help-1	ab1824592d9d438b9721cff8b738c804	356908116429897729	Virginia Lopez	01/31/2022 16:05:37	Space of a polynomials are your vectors The scalars are probably just real numbers.			0	1	872024354572103731	Jessica Hill	Jessica Hill	False	5,448,221
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:00	This doesn't sound like F are polynomials to me.			0	1	872024354572103731	Jessica Hill	Jessica Hill	False	5,448,222
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:00		https://cdn.discordapp.c…5498/unknown.png	unknown.png	1	0	914473169648254987	Theodore Green	Theodore Green	False	5,448,223
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:11	Ok, then by convention, this usually refers to			0	1	nan	nan	nan	nan	5,448,224
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:15	polynomial vectors			0	1	nan	nan	nan	nan	5,448,225
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:18	real field			0	1	nan	nan	nan	nan	5,448,226
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:40	ah so only			1	0	nan	nan	nan	nan	5,448,227
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:47	multiplication by real scalar			1	0	nan	nan	nan	nan	5,448,228
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:48	is allowed			1	0	nan	nan	nan	nan	5,448,229
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:48	yes?			1	0	nan	nan	nan	nan	5,448,230
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:49	yh			0	1	541081246252531727	Regina Martin	Regina Martin	False	5,448,231
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:51	kk			1	0	nan	nan	nan	nan	5,448,232
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:06:55	,finished			1	0	nan	nan	nan	nan	5,448,233
205,804	help-1	ab1824592d9d438b9721cff8b738c804	321445119171756033	Bryce Martinez	01/31/2022 16:06:58	.close			0	1	541081246252531727	Regina Martin	Regina Martin	False	5,448,234
205,804	help-1	ab1824592d9d438b9721cff8b738c804	107901991748919296	Olivia Williams	01/31/2022 16:07:02	.close			1	0	914473169648254987	Theodore Green	Theodore Green	False	5,448,235
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:19:51	Can someone please check, if this is correct? thanks			1	0	nan	nan	nan	nan	5,448,236
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:19:55		https://cdn.discordapp.c…028/IMG_1637.png	IMG_1637.png	1	0	nan	nan	nan	nan	5,448,237
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:30:25	I disagree			0	1	nan	nan	nan	nan	5,448,238
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:30:33	You are summing			0	1	nan	nan	nan	nan	5,448,239
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:30:43	$\pi r(x)^2\dd x$			0	1	nan	nan	nan	nan	5,448,240
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:31:00	Now what is r(x) ?			0	1	nan	nan	nan	nan	5,448,241
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:31:04	the radius			0	1	nan	nan	nan	nan	5,448,242
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:31:10	Now it tells you what the diameter is.			0	1	nan	nan	nan	nan	5,448,243
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:33:42	the diameter is just secx-tanx?			1	0	nan	nan	nan	nan	5,448,244
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	321445119171756033	Bryce Martinez	01/31/2022 16:34:10	yes			0	1	nan	nan	nan	nan	5,448,245
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:34:46	so the radius should be u=(secx-tanx)/2			1	0	nan	nan	nan	nan	5,448,246
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:35:18	so the integral is u*pi			1	0	nan	nan	nan	nan	5,448,247
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:35:26	from -pi/3 to pi/3			1	0	569167697925898261	Kendra Lee	Kendra Lee	False	5,448,248
205,805	help-1	eef24b107ba7461bbc3cf08c2a7cb0f1	437300702960812033	Jan Anderson	01/31/2022 16:39:41	$ \(\int_{\frac{- \pi}{3}}^{\frac{\pi}{3}} \pi \times (\frac{secx-tanx}{2})^2 \,dx\)$			1	0	nan	nan	nan	nan	5,448,249

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:54:17

The next step was to put the limits down and get an expression: ( t - 0 ) = the integral value at T - integral value at T(0)

0

1

457986659900719109

Rebekah Thomas

False

5,448,150

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:55:28

since ln |a| - ln |b| = ln (|a|/|b|), I was able to combine the absolute values as: ln(|a/b|)

0

1

nan

5,448,151

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:56:25

the question asks not to isolate "T" but to determine the "t" when T tends to +infinity

0

1

nan

5,448,152

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:57:14

As such, you can just put e^(-T) part of the integral to be "0" [why?] And you'll have an equation in "t" and "h"

0

1

nan

5,448,153

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:57:41

the other part of your question is to determine a condition on "h" for which the ignition actually occurs so...

0

1

nan

5,448,154

205,800

help-1

56fad1cd1b3c451aa125875122ae1971

706934233012371577

Darius Clark

01/31/2022 12:58:16

that I'll leave for you to figure unless you ping me back after understanding every step until that point :o

0

1

nan

5,448,155

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:23:42

https://cdn.discordapp.c…_10.23.05_AM.png

Screen_Shot_2022-01-31_at_10.23.05_AM.png

1

0

nan

5,448,156

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:23:42

https://cdn.discordapp.c…_10.23.10_AM.png

Screen_Shot_2022-01-31_at_10.23.10_AM.png

1

0

nan

5,448,157

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:24:02

I need to find the range of possible values for each variable

1

0

nan

5,448,158

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:24:12

but im unsure on how to do this or even where to start

1

0

nan

5,448,159

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:25:05

please help! ty

1

0

nan

5,448,160

205,801

help-1

352455a904034ae098ec10bf9853d9af

456226577798135808

Don Thomas

01/31/2022 13:25:31

How do i solve this?

https://cdn.discordapp.c…092/IMG_2386.png

IMG_2386.png

0

1

nan

5,448,161

205,801

help-1

352455a904034ae098ec10bf9853d9af

456226577798135808

Don Thomas

01/31/2022 13:28:12

Don't just post it everywhere see #❓how-to-get-help

0

1

nan

5,448,162

205,801

help-1

352455a904034ae098ec10bf9853d9af

456226577798135808

Don Thomas

01/31/2022 13:29:08

Ok

0

1

nan

5,448,163

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:32:05

@Helpers im very sorry ik its not 15 minutes yet

1

0

nan

5,448,164

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:32:12

but

1

0

510789298321096704

Christie Moore

True

5,448,165

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:32:18

all my problems

1

0

nan

5,448,166

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:32:21

are simular to this

1

0

nan

5,448,167

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:32:24

and i wish to advance more

1

0

nan

5,448,168

205,801

help-1

352455a904034ae098ec10bf9853d9af

261933205387477002

Nicolas Miller

01/31/2022 13:33:21

being impatient isn't going to help you faster

0

1

nan

5,448,169

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:33:48

im sorry im not trying to be impatient its that i have a lot of study material to go through and i wish to finish studying this section

1

0

nan

5,448,170

205,801

help-1

352455a904034ae098ec10bf9853d9af

679416081755930655

Jayla Harris

01/31/2022 13:33:57

i apologize

1

0

nan

5,448,171

205,801

help-1

352455a904034ae098ec10bf9853d9af

261933205387477002

Nicolas Miller

01/31/2022 13:36:53

then go study something else first and come back

0

1

nan

5,448,172

205,801

help-1

352455a904034ae098ec10bf9853d9af

244129917732651008

Lloyd Garcia

01/31/2022 13:40:22

a _range_ of possible values ?

0

1

nan

5,448,173

205,801

help-1

352455a904034ae098ec10bf9853d9af

244129917732651008

Lloyd Garcia

01/31/2022 13:41:28

to solve for x i would start off by defining all relevant angles in terms of x, and come up with an equation

0

1

nan

5,448,174

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:56:32

https://cdn.discordapp.c…BC2F3A0FB4AD.jpg

B6302C01-303B-4B9C-A264-BC2F3A0FB4AD.jpg

1

0

nan

5,448,175

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:56:49

confused on all the steps

1

0

nan

5,448,176

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:56:53

i understand g(-8) is -10

1

0

nan

5,448,177

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:57:09

confused on the 2f(-3) part

1

0

nan

5,448,178

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:57:24

what part confuses you?

0

1

nan

5,448,179

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:57:29

not sure what to plug in

1

0

nan

5,448,180

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:57:34

-3?

0

1

nan

5,448,181

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:57:43

plug in -3 to f(x)

0

1

nan

5,448,182

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:57:46

get a value

0

1

nan

5,448,183

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:57:59

then multiply answer by 2?

1

0

914473169648254987

Theodore Green

False

5,448,184

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:58:05

yes

0

1

nan

5,448,185

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:58:41

ok i got -26 for that

1

0

nan

5,448,186

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:58:47

the same logic in g(f(2a)) except that you're using a constant in that case

0

1

nan

5,448,187

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:58:47

most confusing part last step

1

0

nan

5,448,188

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:58:51

so

1

0

nan

5,448,189

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:58:57

plug 2a into f first?

1

0

nan

5,448,190

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 14:59:00

then plug that answer into g?

1

0

nan

5,448,191

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:59:01

yes

0

1

nan

5,448,192

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

541800010115710986

Eleanor Martin

01/31/2022 14:59:06

yep

0

1

nan

5,448,193

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 15:00:08

ahh kk got it

1

0

nan

5,448,194

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 15:00:28

ty

1

0

nan

5,448,195

205,802

help-1

412fba52ff2d46b0bb9457a4915b0dce

456226577798135808

Don Thomas

01/31/2022 15:00:55

.close

1

0

nan

5,448,196

205,803

help-1

df7dbbca0e924dba97adf430b794813e

921827858026995792

Bianca Green

01/31/2022 15:24:00

Hi

1

0

nan

5,448,197

205,803

help-1

df7dbbca0e924dba97adf430b794813e

921827858026995792

Bianca Green

01/31/2022 15:24:26

Please what is the name of this lesson?

https://cdn.discordapp.c…2706/unknown.png

unknown.png

1

0

nan

5,448,198

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:03:16

I am to determine if the set ``{f, g, h}`` is ``linearly in/dependent`` where ``f = 1+x``, ``g = 1 + x^2``, ``h = 1 + 2x, x^2``. Transforming it into a matrix and solving you get that they are independent. But how can they be? ``(1+x)*f = h``? Or are only real coefficients allowed?

1

0

nan

5,448,199

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:03:55

suppose they are linearly dependent

0

1

nan

5,448,200

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:02

then there will be some combination

0

1

541081246252531727

Regina Martin

False

5,448,201

205,804

help-1

ab1824592d9d438b9721cff8b738c804

356908116429897729

Virginia Lopez

01/31/2022 16:04:02

Linear independence means they can't add to create one another

0

1

nan

5,448,202

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:04:07

yes shuri

1

0

nan

5,448,203

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:10

af + bg + ch = 0

0

1

nan

5,448,204

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:13

for some a b c

0

1

nan

5,448,205

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:20

Such that this new function is 0

0

1

541081246252531727

Regina Martin

False

5,448,206

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:04:21

and the combination is (1+x)f + 0b -1h = 0

1

0

nan

5,448,207

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:22

**for all x**

0

1

914473169648254987

Theodore Green

False

5,448,208

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:48

Uhhhhh didn't see your q about coefficients

0

1

nan

5,448,209

205,804

help-1

ab1824592d9d438b9721cff8b738c804

356908116429897729

Virginia Lopez

01/31/2022 16:04:52

The multiplication by (1 + x) is sus

0

1

872024354572103731

Jessica Hill

False

5,448,210

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:52

It should say in your question

0

1

nan

5,448,211

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:04:55

What field you are working in

0

1

nan

5,448,212

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:03

If your field includes polynomials, then sure

0

1

nan

5,448,213

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:05:06

yes

1

0

nan

5,448,214

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:08

you can use 1+x as a coefficient

0

1

nan

5,448,215

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:05:09

space of all polynomials

1

0

nan

5,448,216

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:14

no no no

0

1

nan

5,448,217

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:19

Can you show the question

0

1

914473169648254987

Theodore Green

False

5,448,218

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:26

The Vectors space V is always over a field F

0

1

nan

5,448,219

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:05:31

F is where the coefficients come from

0

1

914473169648254987

Theodore Green

False

5,448,220

205,804

help-1

ab1824592d9d438b9721cff8b738c804

356908116429897729

Virginia Lopez

01/31/2022 16:05:37

Space of a polynomials are your vectors The scalars are probably just real numbers.

0

1

872024354572103731

Jessica Hill

False

5,448,221

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:00

This doesn't sound like F are polynomials to me.

0

1

872024354572103731

Jessica Hill

False

5,448,222

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:00

https://cdn.discordapp.c…5498/unknown.png

unknown.png

1

0

914473169648254987

Theodore Green

False

5,448,223

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:11

Ok, then by convention, this usually refers to

0

1

nan

5,448,224

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:15

polynomial vectors

0

1

nan

5,448,225

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:18

real field

0

1

nan

5,448,226

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:40

ah so only

1

0

nan

5,448,227

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:47

multiplication by real scalar

1

0

nan

5,448,228

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:48

is allowed

1

0

nan

5,448,229

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:48

yes?

1

0

nan

5,448,230

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:49

yh

0

1

541081246252531727

Regina Martin

False

5,448,231

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:51

kk

1

0

nan

5,448,232

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:06:55

,finished

1

0

nan

5,448,233

205,804

help-1

ab1824592d9d438b9721cff8b738c804

321445119171756033

Bryce Martinez

01/31/2022 16:06:58

.close

0

1

541081246252531727

Regina Martin

False

5,448,234

205,804

help-1

ab1824592d9d438b9721cff8b738c804

107901991748919296

Olivia Williams

01/31/2022 16:07:02

.close

1

0

914473169648254987

Theodore Green

False

5,448,235

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:19:51

Can someone please check, if this is correct? thanks

1

0

nan

5,448,236

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:19:55

https://cdn.discordapp.c…028/IMG_1637.png

IMG_1637.png

1

0

nan

5,448,237

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:30:25

I disagree

0

1

nan

5,448,238

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:30:33

You are summing

0

1

nan

5,448,239

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:30:43

$\pi r(x)^2\dd x$

0

1

nan

5,448,240

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:31:00

Now what is r(x) ?

0

1

nan

5,448,241

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:31:04

the radius

0

1

nan

5,448,242

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:31:10

Now it tells you what the diameter is.

0

1

nan

5,448,243

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:33:42

the diameter is just secx-tanx?

1

0

nan

5,448,244

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

321445119171756033

Bryce Martinez

01/31/2022 16:34:10

yes

0

1

nan

5,448,245

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:34:46

so the radius should be u=(secx-tanx)/2

1

0

nan

5,448,246

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:35:18

so the integral is u*pi

1

0

nan

5,448,247

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:35:26

from -pi/3 to pi/3

1

0

569167697925898261

Kendra Lee

False

5,448,248

205,805

help-1

eef24b107ba7461bbc3cf08c2a7cb0f1

437300702960812033

Jan Anderson

01/31/2022 16:39:41

$ $\int_{\frac{- \pi}{3}}^{\frac{\pi}{3}} \pi \times (\frac{secx-tanx}{2})^2 \,dx$$

1

0

nan

5,448,249