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205,743
help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:18:18
hello
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help-1
1a92bb48685f41dea6f7a376362bf9a0
706,934,233,012,371,600
Ansh_
01/29/2022 14:18:52
> ~~channel claimed~~
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:19:08
$$y=C_1*sin(3t)+C_2*cos(3t)$$ $$y(0)=0$$ $$y'(0)=8$$
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:19:27
How to calculate C_1 and C_2
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
510,789,298,321,096,700
TeXit
01/29/2022 14:20:25
**cakeee**
https://cdn.discordapp.c…422521118721.png
504278422521118721.png
0
1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:20:55
find y'(t) and plug in your initial conditions
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help-1
1a92bb48685f41dea6f7a376362bf9a0
348,696,743,388,381,200
A Lonely Bean
01/29/2022 14:21:02
y(0) = 0 means that 0 = C1sin(0) + C2cos(0)
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1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
348,696,743,388,381,200
A Lonely Bean
01/29/2022 14:21:14
So C2 = 0
0
1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
348,696,743,388,381,200
A Lonely Bean
01/29/2022 14:21:23
And the rest is what Taltost said
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:23:20
why c2
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
348,696,743,388,381,200
A Lonely Bean
01/29/2022 14:24:36
Because the RHS is equal to C2?
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:25:16
umm i think you integrated instead of taking the derivative
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:25:29
ops 😄
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:28:43
$y'(t)=C_1\cos \left(3t\right)\cdot \:3-3C_2\sin \left(3t\right)$
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
510,789,298,321,096,700
TeXit
01/29/2022 14:28:53
**cakeee**
https://cdn.discordapp.c…422521118721.png
504278422521118721.png
0
1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:29:43
$y'(0)=C_1\cos \left(3*0\right)*3-3C_2\sin \left(3*0\right)=8$
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
510,789,298,321,096,700
TeXit
01/29/2022 14:30:55
**cakeee**
https://cdn.discordapp.c…422521118721.png
504278422521118721.png
0
1
null
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null
null
null
205,743
help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:33:53
C_1=8/3
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:34:08
rhs=right hand side?
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:35:11
Why it cant be equal to C1?
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:36:20
plug y(0) into the first equation
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1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:36:56
yeah i did. got y(0)=0
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:37:24
and y(0) also equals???
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:37:53
How i can check that
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:38:00
what is y(t)?
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:38:19
$$y(t)=C_1sin(3t)+C_2cos(3t)$$
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
510,789,298,321,096,700
TeXit
01/29/2022 14:38:21
**cakeee**
https://cdn.discordapp.c…422521118721.png
504278422521118721.png
0
1
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205,743
help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:39:04
Where it says that y(0)=C_2.
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:39:28
so what is C_2?
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1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:41:00
0
1
0
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205,743
help-1
1a92bb48685f41dea6f7a376362bf9a0
348,696,743,388,381,200
A Lonely Bean
01/29/2022 14:41:22
C1sin(0) + C2cos(0) = C2 because sin(0) = 0 and cos(0) = 1
0
1
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help-1
1a92bb48685f41dea6f7a376362bf9a0
935,988,910,025,232,400
Taltost
01/29/2022 14:42:29
ok. so there you go. C_1=8/3 and C_2=0
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:43:26
Okay
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:44:08
two constant distract me
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:45:39
oh now i get it
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0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:45:42
lol
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:45:48
thanks
1
0
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help-1
1a92bb48685f41dea6f7a376362bf9a0
504,278,422,521,118,700
kasperky
01/29/2022 14:45:51
.close
1
0
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help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:32:07
Hi, I have a general question to price prediction
1
0
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help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:32:31
If I collect data of prices every minute over an hour and calculate the mean
1
0
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help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:32:37
and the standard deviation
1
0
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205,744
help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:32:57
can I add the standard deviation onto the mean to get a rough price prediction?
1
0
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help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:34:15
I want to calculate the price slippage in a certain window
1
0
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help-1
452089953cc046eab5a932cb15da982c
297,463,866,172,899,300
Candytree
01/29/2022 15:46:33
@Helpers
1
0
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:16:14
https://cdn.discordapp.c…7420/unknown.png
unknown.png
1
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:22:27
Draw a picture. It's a familiar conic
0
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:27:46
https://cdn.discordapp.c…824533/image.png
image.png
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0
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:27:57
@riemann i'm confused on how to draw it
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help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:35:20
That's basically right.
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:36:16
but i s till havven't added them?
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help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:36:23
For the same z in your equation, can you draw where the point is
0
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:36:24
https://cdn.discordapp.c…2260/unknown.png
unknown.png
1
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:37:12
Your problem is very close to this one https://math.stackexchange.com/questions/209794/sum-of-two-absolute-values-in-complex-plane
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help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:37:32
The last like spoiler ||ellipse||
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:39:06
okay
1
0
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:39:16
so how would we fidnm the max value?
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help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:41:44
Write down your equation in terms of the ellipse and then you'll have an equation in Cartesian coordinates
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 17:43:00
what is the equation for an elipse?
1
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help-1
7b52abb03fb7407db36920ea05f5564f
261,933,205,387,477,000
riemann
01/29/2022 17:53:57
https://www.cuemath.com/geometry/ellipse/
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:03:48
what would the b value be?
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:03:56
@riemann
1
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:14:45
I don't know about the conic approach
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:14:51
But I have an alternative approach
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:16:28
Let $$M(\theta) = |e^{i\theta} -2| + |e^{i\theta} + 2| \iff$$ $$ M^2(\theta) = |e^{i\theta} -2|^2+2(| e^{i\theta} -2| |e^{i\theta} + 2|) + |e^{i\theta} + 2|^2$$
0
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help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:20:00
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:20:20
Can you take it from here? @Brightness
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:22:17
not sure how am i going t o use that
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:23:14
Firstly, recall that $e^{i\theta} = \cos(\theta) + \sin(\theta)$. With that in mind, what does $|e^{i\theta} -2|^2+ |e^{i\theta} + 2|^2 = ?$
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:23:17
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:29:40
that would just be (e^i(theta)) + e^i(theta)+2
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help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:30:13
squared
1
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:13
eh?
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:20
What is $|x+iy|^2$
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help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:30:35
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:30:35
x^2 +y^2
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:39
ok
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1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:43
now do the same for the above
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:54
and simplify
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:30:56
and what do u get
0
1
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null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:31:45
https://cdn.discordapp.c…412766/image.png
image.png
1
0
null
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null
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:31:53
yes
0
1
null
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:31:56
simplify
0
1
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null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:33:04
https://cdn.discordapp.c…951952/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 18:33:09
Good
0
1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:33:38
Now we have, $M^2(\theta) = 10+2(| e^{i\theta} -2| |e^{i\theta} + 2|)$
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
510,789,298,321,096,700
TeXit
01/29/2022 18:33:41
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:33:48
Do the same for the second term
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:33:53
simplify it
0
1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:34:02
get it in terms of cos/sin
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1
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:36:45
https://cdn.discordapp.c…931102/image.png
image.png
1
0
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null
null
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:37:26
Good. Now what technique have you recently learned to find the minimum/maximum value of a function?
0
1
207,711,768,795,938,800
Fullmetal Akabaneist
3894
Fullmetal Akabaneist
false
205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:38:54
you can take the differentia
1
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:38:58
and find the minimun and max
1
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:39:03
when it equals to 0
1
0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:39:03
Exactly
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help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:39:16
That's my approach to this. probably easier ones
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:39:31
Just differentiate M^2
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
872,024,354,572,103,700
<><><>
01/29/2022 18:39:37
and set equal to 0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:39:38
i'm confused why did you do M^2
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0
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205,745
help-1
7b52abb03fb7407db36920ea05f5564f
475,966,350,322,303,000
Brightness
01/29/2022 18:39:59
i forgot how can we test whether this is going to be minimun and maximum at the point?
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