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help-10
4beb0ac4860345e8b04ec0662e99331e
460,640,083,142,508,540
🙛𝕍ѳrtєx🙙
03/17/2022 02:39:41
i think, it's been too long
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R1
03/17/2022 02:39:50
perhaps
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wwywinym
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:41:42
uhhh
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:41:44
idk
1
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:41:50
😵‍💫
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help-10
4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:44:19
https://cdn.discordapp.c…9704/unknown.png
unknown.png
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:44:20
gahhh
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:49:20
@wwywinym :love:
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4beb0ac4860345e8b04ec0662e99331e
742,674,439,623,409,700
wwywinym
03/17/2022 02:53:02
im not sure also :<
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4beb0ac4860345e8b04ec0662e99331e
742,674,439,623,409,700
wwywinym
03/17/2022 02:53:12
u could mention the helpers
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:53:28
@Helpers HELP
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help-10
4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:53:31
😭
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4beb0ac4860345e8b04ec0662e99331e
881,615,914,636,804,200
norablackcat
03/17/2022 02:54:33
the first step is to find f^-1(1)
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help-10
4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:56:42
yes
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help-10
4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:56:44
whats the second
1
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4beb0ac4860345e8b04ec0662e99331e
167,497,165,135,020,030
R1
03/17/2022 02:56:46
step
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help-10
4beb0ac4860345e8b04ec0662e99331e
460,640,083,142,508,540
🙛𝕍ѳrtєx🙙
03/17/2022 03:07:23
hi
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help-10
4beb0ac4860345e8b04ec0662e99331e
460,640,083,142,508,540
🙛𝕍ѳrtєx🙙
03/17/2022 03:07:40
what's f(x)
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help-10
4beb0ac4860345e8b04ec0662e99331e
460,640,083,142,508,540
🙛𝕍ѳrtєx🙙
03/17/2022 03:08:03
oh it's just 6
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help-10
4beb0ac4860345e8b04ec0662e99331e
460,640,083,142,508,540
🙛𝕍ѳrtєx🙙
03/17/2022 03:08:09
i say here
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:22:10
I'm having trouble understanding this following question: "suppose that the echelon form of an augmented matrix has a pivot position in every column except the right most one. how many solutions does the associated linear system have?" The back of the book states that such a system of equations should have exactly one ...
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:29:34
i feel this is better served if you write out an example matrix
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:30:13
like just come up with an echelon form matrix that fits what you have, and then study that matrix
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:40:23
So I found this arbitrary matrix online that I would like to refer to as an example in echelon form (I don't have my phone on me to send a picture per say at the moment) but in reference to this matrix, it has a zero row at the bottom and no pivot positions on the rightmost column as the question states. Looking at thi...
https://cdn.discordapp.c…8298/unknown.png
unknown.png
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88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:41:01
I might be totally misunderstanding though lol
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88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:47:03
i think you just didn't read the question carefully
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88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:47:18
there's a certain part you missed
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:48:46
Wait where might that be 😭 ?
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:50:31
I see echelon form, augmented matrix, and there exists a pivot position in every column with exception to the rightmost one as the conditions for this question; I might have missed a subtlety somewhere
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:51:17
indeed you did, though i dunno if i'd call it a subtlety
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:51:33
there exists a pivot position, where, exactly?
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:52:28
in every column with exception to the rightmost one..right?
1
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:52:31
yep
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help-10
88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:52:40
do you see that very innocent word 'every'?
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88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:53:00
OH!
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88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:53:04
Yeah...
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88bbf58c83724058af9cdcb44bdd48a3
569,167,697,925,898,240
Camilleone
03/17/2022 03:53:07
yepp
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:53:33
Thanks, ill return to working on it now that I got clarification😂
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help-10
88bbf58c83724058af9cdcb44bdd48a3
492,714,846,438,293,500
Cold_SNe64
03/17/2022 03:53:37
.close
1
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help-10
635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:10:13
How do I write 5=logb32 in it's equivalent exponential form?
1
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help-10
635e44164a65401fb03306b0e5bf25b0
536,452,419,219,882,000
DontalRulz
03/17/2022 05:10:58
You’ll need to know two forms
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help-10
635e44164a65401fb03306b0e5bf25b0
536,452,419,219,882,000
DontalRulz
03/17/2022 05:11:03
a^b=c
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help-10
635e44164a65401fb03306b0e5bf25b0
536,452,419,219,882,000
DontalRulz
03/17/2022 05:11:19
b=log_a(c)
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help-10
635e44164a65401fb03306b0e5bf25b0
536,452,419,219,882,000
DontalRulz
03/17/2022 05:11:34
Using this, convert it into a^b=c form
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help-10
635e44164a65401fb03306b0e5bf25b0
536,452,419,219,882,000
DontalRulz
03/17/2022 05:11:36
@minibirdy
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635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:11:43
Alright I'll try
1
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635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:15:04
So is b of the base of log equal to 10?
1
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help-10
635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:16:26
Wait nvm that's probably not important
1
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help-10
635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:19:39
So ngl I'm not getting the answer
1
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635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:23:04
I assumed need to rewrite it as 5=log_8(4) but i rewrote it as a^b=c and got 8^5=4 which is not right
1
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help-10
635e44164a65401fb03306b0e5bf25b0
429,803,037,565,911,040
minibirdy
03/17/2022 05:27:03
Oh wait is it b^5=32
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 05:55:47
How do I simplify ln_e^(13x)?
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:06:17
$ln(e^{13x})$
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
510,789,298,321,096,700
TeXit
03/17/2022 06:06:19
**DETOX (143 🍓)**
https://cdn.discordapp.c…247323193344.png
235369247323193344.png
0
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:06:22
?
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:06:27
Yep
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:07:04
do you know that $\ln(e^x) = e^{\ln(x)} = x$
0
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:07:22
$\ln$
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minibirdy
9068
minibirdy
false
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75a3baf5fa244c3f9769f620b2d3bc9e
510,789,298,321,096,700
TeXit
03/17/2022 06:07:38
**DETOX (143 🍓)**
https://cdn.discordapp.c…247323193344.png
235369247323193344.png
0
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:08:09
So I just need to rearrange it?
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:08:28
ln(x) and e^x are inverse of each other
0
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:08:31
they cancel out
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minibirdy
9068
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:09:16
$\ln(e^x)=x \implies \ln(e^{13x}) = 13x$
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
510,789,298,321,096,700
TeXit
03/17/2022 06:09:18
**DETOX (143 🍓)**
https://cdn.discordapp.c…247323193344.png
235369247323193344.png
0
1
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null
null
null
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:11:11
So thats it's simplified form?
1
0
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:11:29
yup
0
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:11:49
the ln(e^x) cancels and is therefore redundant
0
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:11:57
Ohhhh
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:12:03
Okay I see what you mean now
1
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
235,369,247,323,193,340
DETOX
03/17/2022 06:12:35
:catthumbsup:
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:12:47
Thanks so much!
1
0
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help-10
75a3baf5fa244c3f9769f620b2d3bc9e
429,803,037,565,911,040
minibirdy
03/17/2022 06:13:33
.close
1
0
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0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:43:50
$\exists!x\in\mathbb{C},x^2=-1$
1
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0fa8aace984c4007bf836d9d0599a4be
510,789,298,321,096,700
TeXit
03/17/2022 06:44:50
**andrewFTW8**
https://cdn.discordapp.c…327128408064.png
139018327128408064.png
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0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:45:16
Why is this false?
1
0
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help-10
0fa8aace984c4007bf836d9d0599a4be
551,807,466,631,987,200
Mat
03/17/2022 06:56:18
What about i?
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help-10
0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:57:29
Well, I'm doing some problems for logic and the says it's logically false
1
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help-10
0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:57:33
Why is that?
1
0
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help-10
0fa8aace984c4007bf836d9d0599a4be
551,807,466,631,987,200
Mat
03/17/2022 06:57:57
Because i^2=-1 in C
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0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:58:02
Is there more than one number in the complex domain for which the proposition is true
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0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:58:28
$\exists!x\in\mathbb{C},x^2=-1$
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0fa8aace984c4007bf836d9d0599a4be
510,789,298,321,096,700
TeXit
03/17/2022 06:58:30
**andrewFTW8**
https://cdn.discordapp.c…327128408064.png
139018327128408064.png
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0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 06:58:39
it's supposed to be written like this sorry
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0fa8aace984c4007bf836d9d0599a4be
551,807,466,631,987,200
Mat
03/17/2022 06:58:56
Oh now I see, I misunderstood
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help-10
0fa8aace984c4007bf836d9d0599a4be
551,807,466,631,987,200
Mat
03/17/2022 07:00:11
Then x^2=-1=i^2 <=> x^2 - i^2 = 0 <=> (x-i)(x+i)=0 <=> x=i or x=-i The last line because C is a field
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help-10
0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 07:00:33
I get it now
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help-10
0fa8aace984c4007bf836d9d0599a4be
139,018,327,128,408,060
andrewFTW8
03/17/2022 07:00:35
Thanks a lot
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:44:26
“Find the volume generated when the region bounded by y=sqrt(x), y=2, and x=0 is rotated about the vertical line x=4”.
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:45:32
I am quite confused as I am just learning this
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:55:06
I am assuming we end up with something like ``pi int[0,2] (4-y^2)dy`` ?
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help-10
b1196c3d84e34f30b15b36352d104419
321,445,119,171,756,000
Shuri2060
03/17/2022 07:55:15
First step is to draw the graph and mark the region
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:55:16
and then I just solve that out
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help-10
b1196c3d84e34f30b15b36352d104419
321,445,119,171,756,000
Shuri2060
03/17/2022 07:55:32
After you do that, specially mark the axis of rotation
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:56:01
Mhmm I got that
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551,807,466,631,987,200
Mat
9616
Mat
false
1,298
help-10
b1196c3d84e34f30b15b36352d104419
321,445,119,171,756,000
Shuri2060
03/17/2022 07:56:33
hard for me to answer when im also picturing it in my head - are you able to share your diagram?
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:58:00
https://cdn.discordapp.c…552/IMG_3916.png
IMG_3916.png
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help-10
b1196c3d84e34f30b15b36352d104419
321,445,119,171,756,000
Shuri2060
03/17/2022 07:58:34
and which section
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b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:58:42
I think it was something like pi(R-r)^2
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help-10
b1196c3d84e34f30b15b36352d104419
264,472,398,596,669,440
chxn
03/17/2022 07:58:51
The section touching the y axis
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help-10
b1196c3d84e34f30b15b36352d104419
321,445,119,171,756,000
Shuri2060
03/17/2022 07:58:56
top left, yes
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