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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:00
ok so
1
0
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null
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:02
through simplification
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:04
ive gotten to
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:20:06
there's only **1** critical point
0
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:17
4(-4/r^2 + pi*r)
1
0
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null
616
help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:20:25
= 0
0
1
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:29
im not quite sure how to make that portion in parentheses = 0
1
0
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:30
yes correct
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0
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:34
im not sure how to make it equal -
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:36
0*
1
0
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null
616
help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:20:40
bruh equate to zero!?
0
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:44
i am
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:51
oh wait
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:20:51
1 sce
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:21:12
$-\frac{4}{r^2} + \pi r = 0$
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1
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
510,789,298,321,096,700
TeXit
02/09/2022 22:21:14
**Ansh**
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:21:16
⁉️
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:21:21
would you
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:21:24
move pi*r to other side
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:21:25
so its
1
0
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:21:32
- 4/r^2 = - pi*r
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:21:36
and then simplify from there..?
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:21:40
obviously
0
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:21:48
since we're equating to zero
0
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:21:54
who'd want to factorize that b.s.
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1
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:22:11
true
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:22:14
1 sec lemme figure it out
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:22:28
is it
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:22:32
cbrt(4/pi)
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:22:36
is that the crit pt
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:23:36
@Ansh_
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:24:43
oh srry.. I meant: except possibly you :o
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:24:59
Since you'd rather figure the c.p. on one side than use the equation
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:25:14
and yes.
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1
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:25:14
ok so what do you do man
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:25:17
oh lets go
1
0
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:25:19
lets fucking go
1
0
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help-10
96d2216707614f61b42e1aca5f4f49c2
706,934,233,012,371,600
Ansh_
02/09/2022 22:25:50
I just equate to zero and get the critical point rather than messing with only one side of the derivative
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:25:54
ohhh ok fair
1
0
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616
help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:25:56
thats a good strat
1
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:26:09
@Ansh_ thx for the help
1
0
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help-10
96d2216707614f61b42e1aca5f4f49c2
396,747,260,978,790,400
ST
02/09/2022 22:26:12
i preciate it
1
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706,934,233,012,371,600
Ansh_
3502
Arya
false
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:02:16
Find the volume of the solid whose base is bounded by the given graph and the cross sections perpendicular to the x-axis are squares. a) x^2+y^2=9
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396,747,260,978,790,400
ST
3333
ST
false
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:02:56
hello! i'm not quite sure what the question is talking about. what does it mean by cross sections perpendicular to the x-axis are squares?
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:03:06
is it like riemann sum?
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396,747,260,978,790,400
ST
3333
ST
false
617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:09:02
A cross section is the 2D shape made by cutting your solid
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:09:18
Like, if you look directly into the cut
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:09:42
So any cut will give you a square cross section
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:09:56
ah i see
1
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396,747,260,978,790,400
ST
3333
ST
false
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:10:10
so how would i apply that to this problem
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:10:18
x^2+y^2=9 is a circle
1
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:11:06
So the base is a circle, but a vertical cut gives a square cross section
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706,934,233,012,371,600
Ansh_
3502
Arya
false
617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:11:19
Definitely an odd solid, but it is possible
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:11:44
haha i guess i just cant wrap my head around it
1
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:13:09
It's kind of like a semi-sphere except it has two corners on the top
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:13:24
so if i want to find the area
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:13:26
And the walls are vertical
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:14:13
i find the integral of sq. rt. (9-x^2)
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:14:27
but then where does the square come in...
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:14:29
So area of a square is the square of the side length
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:14:39
yes
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:14:49
And the volume of the solid is the integral of "all such areas"
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1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:15:08
uh huh
1
0
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null
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:15:32
So, if you take a cut at x, what's the area of the cross section?
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:15:47
x^2
1
0
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:15:53
?
1
0
null
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:16:18
x is where we're cutting, not the length of the side
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:16:25
Though it is definitely related
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1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:16:56
(9-y^2)^2
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:17:13
LOL thats probabaly really wrong sorry
1
0
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:17:23
You're on the right track. Good intuition, the height of the circle is exactly what we need
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:17:48
,w graph sqrt(9 - x^2)
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
510,789,298,321,096,700
TeXit
02/09/2022 23:17:50
Results provided by WolframAlpha
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:18:13
Basically that's half of the length of the square, no matter where we cut
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:18:41
https://cdn.discordapp.c…630410/Q6e7Q.png
Q6e7Q.png
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:19:01
is it only half?
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:19:39
The square's length is given by: 2√[9 - x²] The area of the square is then: 4(9 - x²) Finally, the volume is given by: ∫ 4(9 - x²) dx
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:20:16
can i ask why it is half
1
0
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:20:18
Nice picture of the solid btw, where's that from?
0
1
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:20:32
i just found it on google 🙂
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:20:45
The graph I made is only half of the base, since I made a semi-circle
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help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:20:57
The whole base is the whole circle
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help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:04
OHHHHH
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:08
i get it now
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:21
this makes a lot of sense
1
0
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null
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:26
that helps a bunch
1
0
null
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null
null
null
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:28
thank you so much
1
0
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null
null
617
help-10
cabf71660f644f24bcb532a6aad76535
356,908,116,429,897,700
Kaynex
02/09/2022 23:21:37
Np, feel free to ask if you have anything else!
0
1
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:21:45
okie imma try solving this!
1
0
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null
617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:23:48
haha sorry i have another question
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:23:55
what would the intervals be?
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/09/2022 23:24:07
would it be [-3, 3]?
1
0
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617
help-10
cabf71660f644f24bcb532a6aad76535
327,090,026,813,063,200
___e___
02/10/2022 00:09:36
.close
1
0
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null
null
618
help-10
abfab4f1d7db496d934e4c09b115af63
292,853,496,544,493,600
Hop3VC
02/10/2022 00:27:52
https://cdn.discordapp.c…reenshot_512.png
Screenshot_512.png
1
0
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null
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618
help-10
abfab4f1d7db496d934e4c09b115af63
292,853,496,544,493,600
Hop3VC
02/10/2022 00:31:28
@Helpers
1
0
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618
help-10
abfab4f1d7db496d934e4c09b115af63
761,155,030,513,352,700
Bungo
02/10/2022 00:35:16
What is your question?
0
1
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618
help-10
abfab4f1d7db496d934e4c09b115af63
292,853,496,544,493,600
Hop3VC
02/10/2022 00:36:09
fill in the blank
1
0
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618
help-10
abfab4f1d7db496d934e4c09b115af63
292,853,496,544,493,600
Hop3VC
02/10/2022 00:36:15
part 2 of 3
1
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618
help-10
abfab4f1d7db496d934e4c09b115af63
761,155,030,513,352,700
Bungo
02/10/2022 00:36:59
What do you think it should be? Which factors have you not yet accounted for with the parts that are already filled in?
0
1
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618
help-10
abfab4f1d7db496d934e4c09b115af63
292,853,496,544,493,600
Hop3VC
02/10/2022 00:38:18
i dont really know
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