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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:05:56
what do I do now
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ramonov
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:06:09
ok I’m so dumb
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:06:12
I swear
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:06:13
nvm
1
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:06:13
wait
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:08:06
idk what to do now
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0
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:08:07
https://cdn.discordapp.c…F52397B3DCCA.jpg
91ADCE5A-92FB-4072-8078-F52397B3DCCA.jpg
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:10:42
do I just delete the h
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:10:44
?
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:25:05
ye
1
0
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help-10
bbd87e55f254429cad2810beb1c7a5f2
426,918,851,813,441,540
Squishey
04/12/2022 00:25:06
.close
1
0
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:27:42
https://media.discordapp…8144/unknown.png
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0
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:27:49
evening gentlemen
1
0
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:27:59
coukd i get some help on this pls
1
0
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:29:43
q4
1
0
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:31:07
what is confusing? find the mcclaurin series and then find the coefficient of x^(2022) and multiply it by 2022!
0
1
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null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:31:23
because coeff of $x^n = \frac{f^{(n)}(0)}{n!}$
0
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null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:31:30
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:31:38
(in a mcclaurin series)
0
1
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:32:38
i can’t take derivative 2022 times
1
0
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help-10
9a2a75d390c74965ae803af61bf34d85
711,226,895,483,535,400
INACTIVE
04/12/2022 00:33:42
Doesn’t it just mean (f(0))^2022?
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null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:34:05
wut
1
0
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null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:37:53
no
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:38:18
and you aren't supposed to, find the mcclaurin series (pretty simple, its just a geometric series, but you have to multiply it by x^2), and then solve for the n such that the power = 2022
0
1
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null
null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:38:23
and then find the coefficient after doing that
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1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:38:58
could u write this out for me? im afraid i dno what you’re talking about
1
0
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null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:40:29
$\sum_{n=0}^{\infty} \frac{f^{(n)}(0)}{n!}x^n$
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:40:32
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:40:34
it will look something like this
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1
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null
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null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:40:41
right
1
0
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:40:41
and what you are trying todo
0
1
null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:40:46
i understand that part
1
0
null
null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:40:51
is solve for the n such that the power of x = 2022
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:40:58
then you can just take the coefficeint and multiply it by 2022!
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:40:58
but how do i actually find the value of the numerator
1
0
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:41:06
no n is 2022
1
0
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:41:08
you find the mcclaurin series
0
1
null
null
null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:41:17
well first find the mcclaurin series
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:41:18
then come back
0
1
null
null
null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:41:43
this is the mac series no?
1
0
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null
null
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:42:13
not for your function
0
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:42:16
that's just the general form
0
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:42:16
the stuff in front of x^n
1
0
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:42:30
do you know how to find a mac series
0
1
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:43:07
no because i dno how to differentiate f(x) 2000 times
1
0
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null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:43:23
if n was 2 or 3 yeah
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:43:36
okay well then you should read up / review notes on how to find a general mcclaurin series
0
1
852,592,874,754,932,700
CoffeePls
8979
CoffeePls
false
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:43:43
(or how to use a geometric series in this case)
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:43:49
here ill write it like this
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:43:55
$x^2 \cdot \frac{1}{1-x^2}$
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:43:57
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:11
do you recognize that the second term has a very simple series expansion?
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:19
(hint: geometric series)
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:44:25
oh yeah
1
0
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:29
so we get this
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:44:36
i forgot the exact form tho
1
0
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:38
$x^2 \cdot \sum_{n=0}^{\infty} x^{2n}$
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:44:41
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:46
geometric series is something you should know cold
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:51
so keep that in mind
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:57
anyways we can simplify this b/c x^2 is a constant in the n world
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:44:59
so we get :
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:45:06
$\sum_{n=1}^{\infty} x^{2n+2}$
0
1
510,789,298,321,096,700
TeXit
0796
TeXit
true
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:45:09
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:45:16
so now here is where i was saying solve for when the power of x = 2022
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:45:26
so we get: 2n+2 = 2022 => n+1 = 1011 => n = 1010
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:45:32
right does this make sense?
0
1
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:47:35
yes
1
0
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:48:02
okay so now we need to compare this to our form from before
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:48:07
this
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:48:22
but in this case it turns out that the massive coefficient is just 1!
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:48:27
well im still lost on why u didn’t just substitute 2022 into n
1
0
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:48:45
$\sum_{n=1}^{\infty} 1\cdot x^{2n+2} = \sum_{n=0}^{\infty} \frac{f^{(n)}(0)}{n!}x^n$
0
1
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null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
510,789,298,321,096,700
TeXit
04/12/2022 00:48:47
**! Brontochad (RYC4blushysully)**
https://cdn.discordapp.c…734008745984.png
328662734008745984.png
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:49:00
cuz then the power of x (the thing we care about) wouldn't equal 0
0
1
null
null
null
null
null
1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:49:09
anyways in this case it doesn't matter what n is because the coefficients are always 1
0
1
null
null
null
null
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1,833
help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:49:23
so now you just have to note that the coefficient of x^(2022) = f^(2022)(0)/2022!
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:49:29
and then from there you can solve what f^(2022)(0) is
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:49:55
ok I’m gonna go pray they donkt ask this tmrw
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help-10
9a2a75d390c74965ae803af61bf34d85
328,662,734,008,746,000
Geopchad
04/12/2022 00:50:09
well where are you confused
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help-10
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Geopchad
04/12/2022 00:50:18
because this is something that is ALWAYS on a midterm
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:51:07
well i have my final tmrw morning
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:51:44
ok yeah no
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:55:05
@Geopchad alright well i donkt understand this but thank you
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help-10
9a2a75d390c74965ae803af61bf34d85
852,592,874,754,932,700
CoffeePls
04/12/2022 00:55:08
.close
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help-10
73534d40d792494f8be6b4a36d2b7787
488,442,431,352,733,700
almand
04/12/2022 00:56:43
(a-2)^2 = 12
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help-10
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almand
04/12/2022 00:57:10
hi im having issues on solving perfect square equations
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help-10
73534d40d792494f8be6b4a36d2b7787
328,662,734,008,746,000
Geopchad
04/12/2022 00:57:24
what is confusing ?
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help-10
73534d40d792494f8be6b4a36d2b7787
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almand
04/12/2022 00:57:36
just solving the problem, im not sure where to start or what to do
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help-10
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Geopchad
04/12/2022 00:57:44
take square root of both sides
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help-10
73534d40d792494f8be6b4a36d2b7787
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almand
04/12/2022 00:58:41
square root of both sides?
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help-10
73534d40d792494f8be6b4a36d2b7787
488,442,431,352,733,700
almand
04/12/2022 00:59:20
like square root of (a-2)^2/12 ?
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help-10
73534d40d792494f8be6b4a36d2b7787
488,442,431,352,733,700
almand
04/12/2022 01:03:34
.close
1
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TeXit
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true
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help-10
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Deleted User
11/12/2021 16:08:15
can i please understand how to find a counter example to a^3 = b^3 => a = b in complex numbers?
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help-10
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Deleted User
11/12/2021 16:08:49
if you can provide an example and explain how did you come to it (through experience, deduction, ...?)
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help-10
1bab00acaf8c4f69821f6cc76dc6d5c3
351,449,458,136,842,240
Kiretori
11/12/2021 16:16:53
Well
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help-10
1bab00acaf8c4f69821f6cc76dc6d5c3
351,449,458,136,842,240
Kiretori
11/12/2021 16:17:00
1 has 3 cubic roots
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help-10
1bab00acaf8c4f69821f6cc76dc6d5c3
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Kiretori
11/12/2021 16:17:09
They're all different from each other
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CoffeePls
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help-10
1bab00acaf8c4f69821f6cc76dc6d5c3
351,449,458,136,842,240
Kiretori
11/12/2021 16:17:43
But when you add the third power to them they become equal to 1
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help-10
1bab00acaf8c4f69821f6cc76dc6d5c3
351,449,458,136,842,240
Kiretori
11/12/2021 16:17:48
So that's a counter example
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