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757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:24:58
So the next term of x2n+1
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:25:00
will be that
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:25:11
Recursion is really confusing, need to do more exercises I think :S Hard to understand
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
474,549,305,777,061,900
Euler2
11/07/2021 10:25:28
This is a hard example to first learn it
0
1
474,549,305,777,061,900
Euler2
3796
Euler2
false
757
help-10
3f9a2167445444539ec2b9d0789fe337
474,549,305,777,061,900
Euler2
11/07/2021 10:25:39
Do you know the easier examples
0
1
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:00
Uh, 1/n, we saw more or less how to do it in class
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:01
:S
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:14
more or less
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
474,549,305,777,061,900
Euler2
11/07/2021 10:26:14
Okay goodluck
0
1
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:18
thanks
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:28
Do you have any other examples i can look up on youtube or something? to learn?
1
0
null
null
null
null
null
757
help-10
3f9a2167445444539ec2b9d0789fe337
227,858,073,497,108,480
rice
11/07/2021 10:26:44
the easier ones?
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:11:53
How do I find a multiplicity of a zero in this
https://cdn.discordapp.c…146/IMG_3644.png
IMG_3644.png
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:11:58
each unit is 1
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:12:24
and i understand that -4, 2, 6 are zeros
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:12:37
but idk how to find the multiplicity of it
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:12:48
i know how to understand if it’s a odd multiplicity or even
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:12:56
but idk how to find if it’s 1, 2, or 3
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:13:00
(the multiplicity)
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
706,934,233,012,371,600
Ansh_
02/18/2022 13:15:53
_wow, yeah you forgot the dx = cos t dt_
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:18:08
@Helpers
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
266,701,848,969,216,030
opfromthestart
02/18/2022 13:21:56
Basically, you want to look at just the area around the zero, and see if it looks like x, x^2, x^3,etc.
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
266,701,848,969,216,030
opfromthestart
02/18/2022 13:22:26
take x=2 first, what does the area around x=2 look like?
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
706,934,233,012,371,600
Ansh_
02/18/2022 13:26:25
say: f(x) = (x - a)^n q(x) then, f'(x) = n(x - a)^{n-1} q(x) + (x - a)^n q'(x) = (x - a)^{n - 1} [ nq(x) + q'(x) ]
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
706,934,233,012,371,600
Ansh_
02/18/2022 13:27:37
:this:
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
706,934,233,012,371,600
Ansh_
02/18/2022 13:28:17
for example at x = 2, the curve is increasing as it cuts x - axis, => f'(x) > 0 but f(x) = 0
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
706,934,233,012,371,600
Ansh_
02/18/2022 13:28:25
so, multiplicity of x = 2, is 1
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
321,445,119,171,756,000
Shuri2060
02/18/2022 13:28:30
You realise that this is surely impossible
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
321,445,119,171,756,000
Shuri2060
02/18/2022 13:28:43
You can only ever tell if it is odd or even from a rough sketch
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
321,445,119,171,756,000
Shuri2060
02/18/2022 13:29:06
If they tell you the degree of the polynomial or something, that might help things
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:29:51
ok ty
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:29:55
how close
1
0
412,086,528,508,952,600
Carl
8124
Carl
false
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
261,933,205,387,477,000
riemann
02/18/2022 13:29:59
`.close`
0
1
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:30:07
.cloae
1
0
null
null
null
null
null
758
help-10
e1e1cd94aa1f4507b22b4e9569d65f3c
456,226,577,798,135,800
Deleted User
02/18/2022 13:30:12
.close
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:37:51
someone help please
https://cdn.discordapp.c…0600/tangent.png
tangent.png
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
759
help-10
1014f182e96b452f99cad2382e5e2da8
551,807,466,631,987,200
Mat
02/18/2022 16:38:51
You already have m and need b
0
1
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:39:03
is m right?
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:39:34
0.001 = 119.7(7) + b
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:40:30
is b = -837.89
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
759
help-10
1014f182e96b452f99cad2382e5e2da8
551,807,466,631,987,200
Mat
02/18/2022 16:41:02
,w d/dx(3.1 x^2-4.6 x) at x=7
0
1
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
510,789,298,321,096,700
TeXit
02/18/2022 16:41:04
Results provided by WolframAlpha
0
1
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:42:15
ohh
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
551,807,466,631,987,200
Mat
02/18/2022 16:42:20
,w solve 3.1*7^2-4.6*7 = 38.8 * 7 +b
0
1
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:42:22
mb i used the wrong m
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
510,789,298,321,096,700
TeXit
02/18/2022 16:42:23
Results provided by WolframAlpha
0
1
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:42:44
okayy
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:42:48
thank you so muchh
1
0
null
null
null
null
null
759
help-10
1014f182e96b452f99cad2382e5e2da8
619,328,010,968,891,400
<344244<3
02/18/2022 16:43:26
.close
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:44:52
.reopen
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:44:58
@Mat
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:45:14
so i i write out 38.8x+(-151.9)
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:45:26
just making sure
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:46:10
yea it correct
1
0
null
null
null
null
null
760
help-10
6ffe08e34928428f9d30fbbd9605b385
619,328,010,968,891,400
<344244<3
02/18/2022 16:49:17
.close
1
0
null
null
null
null
null
761
help-10
9e7a6bc0ddc649d8878757b087a50587
740,047,552,967,082,000
A Kid Named Galois
02/18/2022 17:12:56
.close
1
0
null
null
null
null
null
762
help-10
ce636efee278499c9c3b09e95316f881
456,226,577,798,135,800
Deleted User
02/18/2022 17:42:49
can someone tell me what the remainder of -30/7 is? im having a brain fart
1
0
null
null
null
null
null
762
help-10
ce636efee278499c9c3b09e95316f881
485,903,210,272,391,200
dldh06
02/18/2022 18:00:19
You can use a calculator
0
1
null
null
null
null
null
762
help-10
ce636efee278499c9c3b09e95316f881
456,226,577,798,135,800
Deleted User
02/18/2022 18:07:24
smart
1
0
null
null
null
null
null
762
help-10
ce636efee278499c9c3b09e95316f881
456,226,577,798,135,800
Deleted User
02/18/2022 18:07:25
.close
1
0
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
407,185,869,930,233,860
Intisaurus
02/18/2022 18:10:17
can someoen help me out with this
https://cdn.discordapp.c…1142/unknown.png
unknown.png
1
0
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
261,933,205,387,477,000
riemann
02/18/2022 18:13:12
which one
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
261,933,205,387,477,000
riemann
02/18/2022 18:13:43
1st one's a well known problem
0
1
551,807,466,631,987,200
Mat
9616
Mat
false
763
help-10
3cde03ab83304fd0918168cb412a8897
261,933,205,387,477,000
riemann
02/18/2022 18:13:43
https://math.stackexchange.com/questions/755780/is-a-matrix-a-with-an-eigenvalue-of-0-invertible
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
407,185,869,930,233,860
Intisaurus
02/18/2022 18:33:13
all 3 preferably, I just looked at that mathexchange link and undertand 1 now
1
0
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
569,167,697,925,898,240
Camilleone
02/18/2022 19:10:10
For the second, as a hint, consider the characteristic polynomial
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
295,654,938,741,309,440
M8732
02/18/2022 19:41:14
I don't think you need full characteristic polynomial?
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
295,654,938,741,309,440
M8732
02/18/2022 19:41:47
My hint: Determinants
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
407,185,869,930,233,860
Intisaurus
02/18/2022 20:03:43
yea i dont really understand what to do with the hints :NervousSweat:
1
0
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
295,654,938,741,309,440
M8732
02/18/2022 20:20:41
More hint: det(AB) = det(A)det(B)
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
763
help-10
3cde03ab83304fd0918168cb412a8897
186,109,587,366,215,680
Omegabet_
02/18/2022 20:52:11
Gershgorin Theorem :sotrue:
0
1
485,903,210,272,391,200
dldh06
2659
dldh06
false
763
help-10
3cde03ab83304fd0918168cb412a8897
761,155,030,513,352,700
Bungo
02/18/2022 21:34:59
Maybe more simply for the second, let $k$ be the smallest positive integer such that $A^k = 0$. If $A$ is invertible then you can multiply both sides by $A^{-1}$ and conclude what?
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
510,789,298,321,096,700
TeXit
02/18/2022 21:35:02
**OurBelovedBungo**
https://cdn.discordapp.c…030513352705.png
761155030513352705.png
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
761,155,030,513,352,700
Bungo
02/18/2022 21:36:36
For the third, you can find the inverse to prove it's invertible. Hint, by analogy consider that $\frac{1}{1-x}$ is a closed-form expression for the series $\sum_{n=0}^{\infty}x^n$.
0
1
null
null
null
null
null
763
help-10
3cde03ab83304fd0918168cb412a8897
510,789,298,321,096,700
TeXit
02/18/2022 21:36:39
**OurBelovedBungo**
https://cdn.discordapp.c…030513352705.png
761155030513352705.png
0
1
null
null
null
null
null
764
help-10
d5dfad5a07e44ca788415809348bdf5f
888,697,909,397,319,700
Lord Aizen
02/19/2022 00:41:49
https://media.discordapp…20218_175103.jpg
1
0
null
null
null
null
null
764
help-10
d5dfad5a07e44ca788415809348bdf5f
701,895,792,763,600,900
s_chanch
02/19/2022 00:55:25
consider the ways you can write 11 as the sum of two one digit numbers
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
765
help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 03:10:14
dt[r(t) × r(t)] = 0 is not possible. We know dt(r(t)) can't equal to 0 because r'(t) is a tangent vector at the point corresponding to r(t)
1
0
null
null
null
null
null
765
help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 03:59:29
@Helpers
1
0
null
null
null
null
null
765
help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:01:56
r(t) x r(t) is always zero. I'm not sure what the notation dt[r(t) x r(t)] means.
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:03:01
Derivative r(t)
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:03:03
My bad
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765
help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:03:26
Did you mean dt[r(t)] x r(t) instead of dt[r(t) x r(t)] ?
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:03:48
Because the second one is definitely zero
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:03:51
Dt[r(t)xr(t)]
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765
help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:04:11
r(t) x r(t) itself is identically zero, so its derivative is also zero.
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:04:35
But I thought r'(t) can't equal to 0?
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765
help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:04:54
How does r'(t) relate to this?
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765
help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:05:19
How do you prove it then?
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765
help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:05:31
Prove what? What is the problem statement?
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:06:14
Prove derivative [r(t) cross product r(t)] = 0
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:06:59
Like I said, [r(t) cross product r(t)] itself is always zero (the cross product of any vector with itself is zero). So of course its derivative is also zero.
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:09:13
But the textbook says r'(t) doesn't equal to 0?
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:09:15
https://cdn.discordapp.c…0838_Pearson.jpg
Screenshot_20220219-040838_Pearson.jpg
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:09:32
I don't understand why you think the two facts are a contradiction.
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:09:52
Why would dt[r(t) x r(t)] = 0 imply that r'(t) is zero?
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:10:06
r'(t) can be anything
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help-10
285e03a62af34f5398b00f3f4cf74798
761,155,030,513,352,700
Bungo
02/19/2022 04:10:45
Moreover, the textbook doesn't say that r'(t) is nonzero, it says PROVIDED that it is nonzero, then r'(t) is called a tangent vector.
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help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:15:12
Okay thanks you.
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765
help-10
285e03a62af34f5398b00f3f4cf74798
290,592,478,904,582,140
halflife
02/19/2022 04:15:36
I feel like I understand now.
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