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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:12:36
how do i do that?
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help-10
e3a12c5096444be1a37579e0b03febbb
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waler
03/24/2022 08:12:53
well notice that if we do common denominator, we have a pq term in the denominator
0
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:12:55
dont we?
0
1
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:13:04
mhm
1
0
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null
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:13:28
right so what is the result after doing common denominator for 1/p + 1/q?
0
1
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null
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:13:55
oh do i make it (q+p)/pq ?
1
0
null
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:14:04
yes
0
1
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null
null
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:14:15
ohhhh
1
0
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null
null
null
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:14:18
so we now have m=(p+q)/pq but we also know that n=p+q
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1
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:14:19
and q+p = n?
1
0
null
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null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:14:23
yes
0
1
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null
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help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:14:26
so pq=?
0
1
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:14:40
n/m
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:15:03
right, so n^2 = (p-q)^2 + 4n/m
0
1
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null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
271,133,126,728,613,900
waler
03/24/2022 08:15:12
now you just need to solve for (p-q)^2
0
1
null
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null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:15:40
kk
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:17:34
i got
1
0
null
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null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:17:41
n^2 - n/m
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:17:58
but thats not an option
1
0
null
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null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:00
:(
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:12
can i make (p-q)^2
1
0
null
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null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:12
=
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:25
p^2+2pq+q^2 -4pq
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:31
then it becomes n^2 - 4pq
1
0
null
null
null
null
null
1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:44
oh wait
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:18:47
i see where i got it wrong
1
0
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help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:19:22
is it c?
1
0
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1,449
help-10
e3a12c5096444be1a37579e0b03febbb
568,416,924,564,848,640
Macro
03/24/2022 08:19:34
(mn^2 - 4n) /m
1
0
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null
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:46:46
Hi what is this circle mean in this question?
1
0
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:46:51
https://cdn.discordapp.c…318/IMG_2512.jpg
IMG_2512.jpg
1
0
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
456,226,577,798,135,800
Deleted User
03/24/2022 08:48:01
it denotes functional composition
0
1
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
456,226,577,798,135,800
Deleted User
03/24/2022 08:48:26
f o g(x) means f(g(x))
0
1
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:48:49
Oh so just sub in the g(x) to f(x) function?
1
0
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
456,226,577,798,135,800
Deleted User
03/24/2022 08:48:50
read as 'f of g(x)'
0
1
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:48:59
Oh okay
1
0
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
456,226,577,798,135,800
Deleted User
03/24/2022 08:49:00
ye
0
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:49:02
Got it
1
0
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help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:49:18
And for b, it’s g(f(x)) right?
1
0
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
456,226,577,798,135,800
Deleted User
03/24/2022 08:49:41
yea
0
1
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:49:49
Thank you so much
1
0
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1,450
help-10
a044ca3ef5214e89a3d3a2d7c434f168
690,008,822,508,683,300
*___* 9
03/24/2022 08:49:51
.close
1
0
null
null
null
null
null
1,451
help-10
d75b44905ee548f08e74821528c4c624
313,565,570,660,565,000
Alphara
03/24/2022 09:26:19
https://cdn.discordapp.c…570660564994.png
313565570660564994.png
1
0
null
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help-10
d75b44905ee548f08e74821528c4c624
313,565,570,660,565,000
Alphara
03/24/2022 09:27:07
how would one begin tackling this?
1
0
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1,451
help-10
d75b44905ee548f08e74821528c4c624
245,091,211,486,953,470
1345631
03/24/2022 09:44:12
Ideas: Note a_{n+1} > 0. So if we can show [(n-1)a_n + a_n-1]/(n+1) goes to zero, we get the result by the Sandwich rule. This requires proving a_n is bounded
0
1
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1,451
help-10
d75b44905ee548f08e74821528c4c624
245,091,211,486,953,470
1345631
03/24/2022 09:47:03
You could also show try to show that a_n is bounded and monotone [didn't verify], and use the MCT to see that a_n converges. Then pass to the limit to get that the limit is 0
0
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help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 09:57:14
alright, will try this and see what it comes to
1
0
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1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 09:57:21
.reopen
1
0
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help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:17:35
say we were tackling this
1
0
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1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:21:59
we will basically need this
1
0
null
null
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null
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1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:22:12
https://cdn.discordapp.c…3484/unknown.png
unknown.png
1
0
690,008,822,508,683,300
*___* 9
0180
*___* 9
false
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:22:46
and if we can say the limit is 0 then the whole thing is solved
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:24:58
where should i start?
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:30:05
@Helpers
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:34:43
https://cdn.discordapp.c…256/IMG_5633.jpg
IMG_5633.jpg
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:36:07
for the boundary this is all i managed to find
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
245,091,211,486,953,470
1345631
03/24/2022 10:36:39
Not sure, sorry about that. Only had some ideas on how it might go, but didn't verify if it works or not
0
1
null
null
null
null
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1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:39:51
oh ok
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:42:55
maybe writing a_n+1 as a_n - h and a_n-1 as a_n + h ?
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:59:31
yeap
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 10:59:34
i have no idea
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 11:01:42
https://cdn.discordapp.c…848/IMG_5634.jpg
IMG_5634.jpg
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 11:01:42
https://cdn.discordapp.c…888/IMG_5635.jpg
IMG_5635.jpg
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 11:04:11
this is crap, there has to be smth that im missing
1
0
null
null
null
null
null
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
245,091,211,486,953,470
1345631
03/24/2022 11:13:38
It's a challenging one. I apologise for being unable to help further and for giving ideas which did not bear fruit.
0
1
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null
null
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1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 11:14:59
thank you, i appreciate the effort
1
0
245,091,211,486,953,470
1345631
4969
1345631
false
1,452
help-10
f73875f60e4a48e58cf36e38df3a1d1a
313,565,570,660,565,000
Alphara
03/24/2022 11:28:20
.close
1
0
null
null
null
null
null
1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:30:06
https://cdn.discordapp.c…574016/graph.png
graph.png
1
0
245,091,211,486,953,470
1345631
4969
1345631
false
1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:30:21
What are the steps to solve this?
1
0
null
null
null
null
null
1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:30:32
W being a wiener process
1
0
null
null
null
null
null
1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:31:36
I know the solution is this but I don't get how it got derived
https://cdn.discordapp.c…2194/graph-4.png
graph-4.png
1
0
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null
null
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1,453
help-10
44dca64b98e24cb995cb2a953766133e
121,075,349,667,708,930
Hexicle
03/24/2022 11:38:13
That's just the Ito Isometry, there isn't much to derive
0
1
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null
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1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:38:25
Ooooh yeah
1
0
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1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:38:29
Thank you
1
0
null
null
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null
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1,453
help-10
44dca64b98e24cb995cb2a953766133e
428,690,765,493,960,700
Vertox
03/24/2022 11:38:42
.close
1
0
245,091,211,486,953,470
1345631
4969
1345631
false
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:44:01
Hj
1
0
313,565,570,660,565,000
Alphara
8979
Alphara
false
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:44:02
Hi
1
0
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null
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1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:45:02
$if \sin(90-\alpha) = \frac{BC}{CA}$ write down the ratio of $\sin\alpha$
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
510,789,298,321,096,700
TeXit
03/24/2022 11:45:20
**BASU**
https://cdn.discordapp.c…255427948564.png
925042255427948564.png
0
1
null
null
null
null
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1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:45:31
Ok how do I solve it
1
0
null
null
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1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:45:36
I went like this
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:46:10
$\sin90 - \sin\alpha = \frac{BC}{CA}$
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
510,789,298,321,096,700
TeXit
03/24/2022 11:46:13
**BASU**
https://cdn.discordapp.c…255427948564.png
925042255427948564.png
0
1
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:46:18
Then
1
0
null
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null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:46:25
Did the math
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:47:05
$\sin\alpha = \frac{CA-BC}{CA}$
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
510,789,298,321,096,700
TeXit
03/24/2022 11:47:26
**BASU**
https://cdn.discordapp.c…255427948564.png
925042255427948564.png
0
1
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:47:35
Is this the answer?
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
925,042,255,427,948,500
BasuDev
03/24/2022 11:47:40
@Helpers
1
0
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
186,109,587,366,215,680
Omegabet_
03/24/2022 12:01:51
that is very much wrong
0
1
null
null
null
null
null
1,454
help-10
a9b43aab83d243518b641cfd0a3efb47
186,109,587,366,215,680
Omegabet_
03/24/2022 12:02:03
since sin(90-a) != sin(90)-sin(a)
0
1
null
null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:30:09
so apparently this is the newton leibniz formula, how is this different from the fundamental theorem of calculus?
https://cdn.discordapp.c…_12.29.41_AM.png
Screen_Shot_2022-03-25_at_12.29.41_AM.png
1
0
null
null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:33:02
To give some context, this was introduced to establish how integrals have a finite/infinite value depending if the original function converges/diverges, but like, why couldn't this be explained with the ftom?
1
0
null
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null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
261,933,205,387,477,000
riemann
03/24/2022 12:34:03
Different in what way? Looks the same
0
1
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null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
692,654,133,785,657,300
Alexander42
03/24/2022 12:34:51
(at least at wikipedia), there are two parts of the fundamental theorem of calculus, and one of these parts is the newton leibniz formula. There is no real difference
0
1
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1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:35:04
I guess it's easier to show this instead?
https://cdn.discordapp.c…_12.34.48_AM.png
Screen_Shot_2022-03-25_at_12.34.48_AM.png
1
0
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null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:35:32
"discuss if the following equation diverges/converges"
1
0
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null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:35:54
like, why is this all this even necessary 🤔
1
0
null
null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:36:52
So they're the same, got it o7
1
0
null
null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:37:48
(I'm studying again today so I may send more questions)
1
0
null
null
null
null
null
1,455
help-10
3d4d36048e8d45eaa04a24087285ac25
219,216,037,520,998,400
Neko
03/24/2022 12:39:55
Yeah, just checked the examples, the teacher only uses it when one of the bounds would cause a division by 0, so it's more of a correct notation thing
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