conversation_id
int64
1
206k
help_channel
stringlengths
6
7
__rowid__
stringlengths
32
32
author_id
int64
62,061,868B
1,071,443,446B
author_name
stringlengths
2
32
timestamp
stringlengths
19
19
content
stringlengths
0
3.97k
reference.messageId
stringclasses
3 values
reference.channelId
stringclasses
3 values
reference.guildId
stringclasses
1 value
url
stringlengths
0
591
fileName
stringlengths
0
513
student
int64
0
1
helper
int64
0
1
references.id
float64
62,061,868B
1,071,056,124B
references.name
stringlengths
2
32
references.discriminator
stringlengths
4
4
references.nickname
stringlengths
1
32
references.isBot
bool
2 classes
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:02
Recall that we are dealing with magnitudes
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:09
So it will definitely be positive
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:12
So m^2
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:14
m^3
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:14
etc
0
1
644,866,111,505,956,900
BLACK1
3122
BLACK1
false
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:19
all positive
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:40:29
why not just do the normal expansion for each
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:31
The reason I didn't differentiate M
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:39
is because it was hard to simplify that
0
1
706,934,233,012,371,600
Ansh_
3502
Arya
false
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:40:40
look
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:41:10
don't you have to do implicit differentatino now
1
0
644,866,111,505,956,900
BLACK1
3122
BLACK1
false
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:42:38
No
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:42:44
Implicit differentiate not necessary
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:42:57
or are we going to move the square roto to the other side
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:43:03
wouldn't that still be alot harder?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:44:10
Chain rule
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:44:28
$$f(g(x)) = f'(g(x))g'(x)$$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:44:31
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:44:59
so how are we going to deal with the M^2 ?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:45:15
What do you mean?
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:45:20
Ohh
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:45:39
Find $\frac{dM^2}{d\theta}$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:45:43
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:46:09
Because $M >0$, if you square all values the maximum will still occur at the same $\theta$ point!
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:46:55
I frogot how can we check wther something is max and min
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:47:02
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:47:12
You don't need to in this example
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:47:32
Just plug in the $\theta$ values which make $\frac{dM^2}{d\theta}=0$ into $|e^{i\theta} -2| + |e^{i\theta} + 2|$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:48:02
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:48:22
The one which gives you the largest value is the maximum
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:49:07
https://cdn.discordapp.c…161223/image.png
image.png
1
0
734,628,928,420,839,600
Anticipation
0902
Anticipation
false
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:49:31
you differentiated wrong
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:50:15
What is $\frac{d}{d\theta}25 - 16\cos^2(\theta)$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:50:17
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:52:03
isn't that 32sin(theta)
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:52:14
Nope
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:52:18
i mean 32sincs(theta)
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:52:22
32sincos(theta)
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:52:47
yes $32\sin(\theta)\cos(\theta)$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:52:49
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:53:39
https://cdn.discordapp.c…003250/image.png
image.png
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:54:07
🤔
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:54:24
what did i do wrong?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:54:40
What values of $\theta$ make $\sin(2\theta) = 0$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:54:42
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:54:45
from 0 to 2pi
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:55:54
pi/2, 2pi + pi/2
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:02
3pi/2
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
536,452,419,219,882,000
DontalRulz
01/29/2022 18:56:06
Double derivative I’m pretty sure
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:07
and then divide by 2
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:56:27
what about 0?
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:42
yeah
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:46
theta = 0
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:48
pi
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:49
2pi
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:56:50
3pi
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:58:09
So you should have $\theta = 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:58:12
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:58:22
yeah
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:58:25
but which one should we use?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:58:31
Plug them all in
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:58:34
to
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:59:00
$M(\theta)= |e^{i\theta} -2| + |e^{i\theta} + 2|$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:59:10
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:59:48
and see which gives you the largest number on this list
https://cdn.discordapp.c…1280/unknown.png
unknown.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:59:53
wouldn't that just be 1 + 3
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:59:54
so 4
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:00:21
You've subbed in theta = 0
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:00:21
but what about the other values of theta?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:00:22
i presume
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:00:25
try the others
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:00:40
$M(0) = 4$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 19:00:50
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:01:12
What is $M(\frac{\pi}{2})$?
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 19:01:22
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:01:25
that's 10
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:01:46
🤔
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:02:05
2root(5)
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:19
:catthumbsup:
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:21
you've got it
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:02:28
thanks that helped alot
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:31
Now do you understand how we got the answer
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:41
do you understand all the workings
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:43
The M^2
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:02:44
etc
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:02:45
yeah
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:02:52
so can we graph it?
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:03:09
Graph it?
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:04:04
okay thanks i get it
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:04:57
Notice that if $M$ had values that were $<0$. We would have to be careful with $M^2$ because squaring the largest negative will make it larger the largest positive
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 19:05:00
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:05:01
if that makes sense
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 19:05:45
But since $ |e^{i\theta} -2| + |e^{i\theta} + 2$ are magnitudes. We don't have to worry about this problem. Because it will always be $>0$
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 19:05:48
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:17:08
okay thanks
1
0
null
null
null
null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 19:17:09
.close
1
0
null
null
null
null
null
205,746
help-1
3055db4fe95b4eed8fdd35e11f8e5b75
217,248,583,227,801,600
itsalivenger
01/29/2022 19:40:38
hiii i just don't understand the definition of a limit can someone explain it i mean with example
1
0
null
null
null
null
null
205,746
help-1
3055db4fe95b4eed8fdd35e11f8e5b75
217,248,583,227,801,600
itsalivenger
01/29/2022 19:40:55
am talking about limit for sequences
1
0
161,888,429,980,778,500
Simon Petrikov
9097
Simon Petrikov
false
205,746
help-1
3055db4fe95b4eed8fdd35e11f8e5b75
217,248,583,227,801,600
itsalivenger
01/29/2022 19:40:59
AND functions
1
0
null
null
null
null
null
205,746
help-1
3055db4fe95b4eed8fdd35e11f8e5b75
521,445,300,989,198,340
WHAT?
01/29/2022 19:41:03
Have you seen a picture?
0
1
null
null
null
null
null