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1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:11:25
so after each loop, u lose 2 in total?
1
0
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help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:12:13
y not?
1
0
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help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:12:22
s
1
0
null
null
null
null
null
1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:12:41
so 26 decreases by 2 each time after the loop?
1
0
null
null
null
null
null
1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:13:26
so answer is 0 since 26 is even?
1
0
220,517,274,845,577,200
ramonov
0921
ℝamonov
false
1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:13:45
maybe not lol
1
0
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1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:13:48
0 is wrong
1
0
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null
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1,614
help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:14:10
just think
1
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help-10
1f616d6bde1e4d9ebf27521d7a1c98db
874,215,957,113,995,300
1234567
04/01/2022 03:14:16
what happens when u reach 6
1
0
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
874,215,957,113,995,300
1234567
04/01/2022 03:15:02
bruh it's nothing
1
0
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
874,215,957,113,995,300
1234567
04/01/2022 03:15:11
u get to 4
1
0
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null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
874,215,957,113,995,300
1234567
04/01/2022 03:15:23
then u can't give 5 out of 4 n it stops there
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873,934,641,910,931,600
ColtyDay
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ColtyDay
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help-10
170a007e36804f0d92b8ab429c23ee8e
874,215,957,113,995,300
1234567
04/01/2022 03:15:31
nvm then
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:23:09
https://cdn.discordapp.c…20401_152240.jpg
IMG_20220401_152240.jpg
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:23:18
I'm not sure how to do this I need some help
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:24:21
So you have something with unit cm, and you want cm/t where t is time
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178,975,316,893,630,460
Ceecks
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Ceecks
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:24:24
what do you do?
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:24:40
dr/dt
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:24:50
yes, you take the derivative
0
1
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:25:43
and so y'(t) tells you how the radius change given t, so what do you let t be when you evaluate this formula?
0
1
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:26:15
Will t be 0?
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:26:48
t needs to be such that y(t) = 5 right? '
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:26:55
Yes
0
1
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:27:19
here $y(t)=\sqrt{1+t}$
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
510,789,298,321,096,700
TeXit
04/01/2022 03:27:21
**bim**
https://cdn.discordapp.c…505226534912.png
140814505226534912.png
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:27:32
so you solve for t, take the derivative, and plug in your t
0
1
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null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:27:40
do you see why?
0
1
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:29:06
So y'(t) will be 1/2 sqrt (1+t)?
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:29:28
where is the sqrt(1+t)?
0
1
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null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:29:31
(be careful, sqrt(1+t) is not the radius after t seconds))
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:29:42
ah thats true
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1
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:29:50
I'm getting confused now
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:29:59
okey let us start from the beginning
0
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:30:07
Okay
0
1
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help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:30:10
What do you want to find?
0
1
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:30:28
Rate at which radius is increasing
0
1
null
null
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null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:30:39
dr/dt
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:30:43
yes
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:30:53
can you find the radius in the exercise ?
0
1
null
null
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null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:31:09
5cm
0
1
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null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:31:29
that is when you want the rate of change
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:31:39
so you wrote dr/dt
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:31:54
which means that r is a function that you take the derivative with respect to t right?
0
1
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null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:32:04
Yes
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:32:10
so what is this function r ?
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:32:33
tell me in words, no need to give it
0
1
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:32:48
I'm not sure
0
1
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null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:33:17
so dr/dt = change of radius with respect to time, right ?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:33:27
Yes
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:33:40
so r should be the function for the radius
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:33:48
Yes
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:33:54
do the exercise give such a function ?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:34:05
No
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:34:25
but it does give a function for the volume, can you connect the volume with the radius of the balloon?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:34:54
Volume of balloon is 4/3 pi r 3
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:35:23
So I make r the subject of the formula?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:35:49
well yes, so you have a formula that gives the volume for a given t, and you have another formula that gives r for a certain volume
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:35:54
do you see what i mean ?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:36:12
Yes
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:36:30
so you should be able to express the radius of the balloon as a function of t
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:36:46
Okay thank you Ill try it out now
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:36:59
good luck and let me know if you need more help!
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:37:05
Yep thanks!
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:37:36
a general tip, if you dont understand an execise, break it down into smaller questions like i tried to do for you above
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 03:37:42
you see what i mean by that?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:44:03
Im not rlly sure now
https://cdn.discordapp.c…20401_154348.jpg
20220401_154348.jpg
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:45:26
try to establish the functions slowly
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:45:40
like bim said, you can express v(t) in terms of r(t)
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:45:48
can you try to write that out?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:46:37
https://cdn.discordapp.c…20401_154632.jpg
20220401_154632.jpg
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:47:10
i asked for v(t) in terms of r(t), you are trying to express v'(t) as a result of chain rule
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:48:27
https://cdn.discordapp.c…20401_154821.jpg
20220401_154821.jpg
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:48:30
This?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:48:36
almost
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:48:50
but yes, v(t)=4/3pi *r^3(t)
0
1
null
null
null
null
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:48:58
however v(t) is not sqrt(1+t)/t
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
510,789,298,321,096,700
TeXit
04/01/2022 03:49:42
**waler**
https://cdn.discordapp.c…126728613896.png
271133126728613896.png
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:50:01
now instead of actually solving for r, a quicker way is to just find r'(t) in terms of r(t) and t
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:50:17
have you learnt implicit differentiation?
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:50:29
Not sure
0
1
null
null
null
null
null
1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:50:36
I don't think so
0
1
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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:51:00
right, that means we would have to solve for r(t) then
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:51:10
well, it's not too bad either
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:52:13
are you sure you havent learnt implicit differentiation? It's basically differentiation but with functions relative to t instead of differentiating functions in terms of t
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:53:01
i think you should know this from the fact that you wrote out the chain rule for v'(t)
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:53:02
I'm pretty sure I have yet to learn that
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:53:05
ok then
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:53:41
so basically just solve for r(t), differentiate r(t) wrt t, then substitute t into the derivative
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:54:27
How do I solve for r(t)?
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:54:42
just like how you would solve for x in an equation
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:54:56
try to look at t as a constant, then solve for r in terms of t
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:56:05
So do I sub t as a number?
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:56:16
Like t=3
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:56:21
Then I solve for r
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:56:34
no, just treat it as if it was a constant
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:57:28
for example y^3=x would be equivalent to y=cbrt(x), what i did was solve for y in terms of x as I took the cube root on both sides
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:57:50
Yes
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 03:58:10
So I just move all the things except for r to the right side with t?
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help-10
170a007e36804f0d92b8ab429c23ee8e
271,133,126,728,613,900
waler
04/01/2022 03:58:22
sure
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 04:00:07
https://cdn.discordapp.c…20401_160001.jpg
20220401_160001.jpg
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