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1,615
help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 04:00:18
I do not think this is it right?
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waler
04/01/2022 04:01:10
seems good, try to write the cube root bigger so you dont misunderstand it as the cube root of only the numerator
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:01:19
now the only thing left is to differentiate r
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help-10
170a007e36804f0d92b8ab429c23ee8e
686,556,225,827,242,000
Kokonut
04/01/2022 04:01:25
Oh okay
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:01:39
and dont forget to solve for t when r(t)=5
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:01:40
So it will be dr/dt ?
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:01:43
yes
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:01:56
Which am I suppose to do first
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waler
04/01/2022 04:02:11
doesnt matter
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:02:13
The derivative or r(t)=5
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:02:16
Oh okay
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help-10
170a007e36804f0d92b8ab429c23ee8e
799,509,335,021,584,400
WANE
04/01/2022 04:06:29
hi
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WANE
04/01/2022 04:06:31
https://cdn.discordapp.c…9040/unknown.png
unknown.png
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170a007e36804f0d92b8ab429c23ee8e
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WANE
04/01/2022 04:06:33
i'm stumping so bad lmfao
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help-10
170a007e36804f0d92b8ab429c23ee8e
799,509,335,021,584,400
WANE
04/01/2022 04:06:41
nvm occupied sorry
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help-10
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Kokonut
04/01/2022 04:14:11
Sorry but I'm stuck on finding the derivative
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help-10
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Kokonut
04/01/2022 04:14:25
It is too complicated as it has cube root and square root together
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:14:40
However I got t
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:14:52
https://cdn.discordapp.c…20401_161447.jpg
20220401_161447.jpg
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help-10
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waler
04/01/2022 04:14:57
right, lets just say if we had f(x)=cbrt(x), what would f'(x) be equal to?
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:15:27
1/3cbrt(x)
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waler
04/01/2022 04:15:37
we are finding the rate at which the radius is changing when the radius is equal to 5 not 4
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waler
04/01/2022 04:15:57
eh no, check again
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Kokonut
04/01/2022 04:16:18
It is 5
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waler
04/01/2022 04:16:40
this looked like a 4....
https://cdn.discordapp.c…5566/unknown.png
unknown.png
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Kokonut
04/01/2022 04:16:49
HAHAHA it's a 4
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help-10
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waler
04/01/2022 04:17:30
but anyway, if you wrote a 5, the rest should be good if you didn't miscalculate anything
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help-10
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waler
04/01/2022 04:17:43
anyway, the derivative of cbrt(x) is 1/(3cbrt(x^2))
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help-10
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Kokonut
04/01/2022 04:17:50
1/3cbrt x2
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help-10
170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:17:52
Oh
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help-10
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Kokonut
04/01/2022 04:17:54
Okay
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help-10
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waler
04/01/2022 04:18:14
ok good, but we also have another function inside that cube root
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:18:19
hence the chain rule needs to be applied
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help-10
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waler
04/01/2022 04:18:35
what's the derivative of 3/(4pi)*sqrt(1+t)
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Kokonut
04/01/2022 04:19:33
3/8pi*sqrt(1+t)
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waler
04/01/2022 04:20:10
if you meant 3/(8pi*sqrt(1+t)) then yes
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170a007e36804f0d92b8ab429c23ee8e
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Kokonut
04/01/2022 04:20:40
Yes that's what I meant
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:22:20
anyway, the derivative according to what we have found should be r'(t)=$\frac{1}{3\cdot \left( \frac{3\sqrt{1+t}}{4\pi}\right)^{\frac{2}{3}}}\cdot \frac{3}{8\pi \sqrt{1+t}}$
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waler
04/01/2022 04:22:26
jeez
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help-10
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waler
04/01/2022 04:24:12
right, finally
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waler
04/01/2022 04:24:18
i hate big codes
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170a007e36804f0d92b8ab429c23ee8e
510,789,298,321,096,700
TeXit
04/01/2022 04:24:32
**waler**
https://cdn.discordapp.c…126728613896.png
271133126728613896.png
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:24:45
so you have the derivative, you have the time at which you need to find the rate of change
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help-10
170a007e36804f0d92b8ab429c23ee8e
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waler
04/01/2022 04:24:54
now you just need to plug it into the derivative
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waler
0265
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waler
04/01/2022 04:25:05
you can simplify this if you want to, im too lazy for that
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help-10
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Kokonut
04/01/2022 04:25:31
Okay thanks for ur help I think I know how to solve it from now
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help-10
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Kokonut
04/01/2022 04:25:45
Sorry if I was not getting u at times
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help-10
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waler
04/01/2022 04:25:54
nah
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help-10
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waler
04/01/2022 04:25:58
glad could help
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waler
04/01/2022 04:26:36
this problem could have been solved much quicker if you had known implicit differentiation, but too bad you havent learnt it
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help-10
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waler
04/01/2022 04:26:50
felt like this would have been a better exercise after you have learnt that
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help-10
170a007e36804f0d92b8ab429c23ee8e
140,814,505,226,534,910
bim
04/01/2022 04:28:50
YEY YOU !
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help-10
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Kokonut
04/01/2022 04:31:15
.close
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help-10
690a110d174748d2abe7943b7355b30d
284,065,859,515,973,630
Erzis
04/01/2022 05:02:51
1. is the blue underlined part (dxdy) an infinitely small rectangle on the xy plane? 2. is the reason why integrating dx the range is from 0 to a because a length is parallel to the x axis?
https://cdn.discordapp.c…8754/unknown.png
unknown.png
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690a110d174748d2abe7943b7355b30d
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Erzis
04/01/2022 05:18:01
@Helpers
1
0
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help-10
690a110d174748d2abe7943b7355b30d
284,065,859,515,973,630
Erzis
04/01/2022 05:43:07
.close
1
0
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help-10
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266,892,607,521,554,430
Mathew
04/01/2022 05:55:25
2.) Selecting 5 basketball players out of 10 team members for the different positions 8.
https://cdn.discordapp.c…20401-175304.png
Screenshot_20220401-175304.png
1
0
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
266,892,607,521,554,430
Mathew
04/01/2022 05:55:30
Why is it permutation?
https://cdn.discordapp.c…20401_175331.png
20220401_175331.png
1
0
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
341,586,602,503,569,400
CST
04/01/2022 06:55:44
Different positions
0
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help-10
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Mathew
04/01/2022 07:07:41
But why does it matter what positions they play they are still the same team
1
0
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
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CST
04/01/2022 07:08:42
For example, think of a student council
0
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
341,586,602,503,569,400
CST
04/01/2022 07:08:49
A president, a vice president, and a secretary
0
1
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
341,586,602,503,569,400
CST
04/01/2022 07:08:58
All of them are members of the council, but they have different roles
0
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
341,586,602,503,569,400
CST
04/01/2022 07:09:34
Similarly in basketball, there are people who are point guards, centers, power forwards, etc.
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help-10
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Mathew
04/01/2022 07:10:24
So by making the members play distinct roles the order becomes relavent?
1
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help-10
0817ded4c78d4c8f9a8bdf26375ee1ca
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CST
04/01/2022 07:10:32
yes
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help-10
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Mathew
04/01/2022 07:10:57
I see thanks
1
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0817ded4c78d4c8f9a8bdf26375ee1ca
266,892,607,521,554,430
Mathew
04/01/2022 07:11:19
.close
1
0
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a47ed0c2db3c40549eb730f9e83b2fab
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132
04/01/2022 07:57:38
https://cdn.discordapp.c…4868/unknown.png
unknown.png
1
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help-10
a47ed0c2db3c40549eb730f9e83b2fab
497,489,393,762,697,200
132
04/01/2022 07:57:52
Im using complementary slackness for this question
1
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help-10
a47ed0c2db3c40549eb730f9e83b2fab
497,489,393,762,697,200
132
04/01/2022 07:58:26
But as x1 and x3, are zero, for the dual of the program can I only use the second constraint?
1
0
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help-10
a47ed0c2db3c40549eb730f9e83b2fab
497,489,393,762,697,200
132
04/01/2022 07:59:30
to calculate y1 and y3
1
0
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:17:46
just want to make sure
https://cdn.discordapp.c…-01_10.17.38.png
2022-04-01_10.17.38.png
1
0
null
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:17:50
#16 is invalid right?
1
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:18:06
no answers in the back and i want to make sure i understand this correctly
1
0
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:18:18
i can't see any way we can deduce r from all those propositions
1
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:24:28
It's because of *q*
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:24:43
There's no way to settle on a truth value for *q*
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1
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null
null
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help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:24:53
right
1
0
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1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:25:07
From there, we can't settle on *s*
0
1
341,586,602,503,569,400
CST
1736
CST
false
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:25:13
can i ask one more logic related question
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:25:31
Lemme finish with this thing just in case I missed it
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:25:44
oh ok
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:25:49
We don't need to care about *q* it turns out
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:26:38
We assume that at least one of *p* and *s* is true
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:27:19
That's from the third line
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:28:17
From the first, (r V s) -> p means that if p is false, (r V s) is false
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:29:06
So we know that (r V s) cannot be true if p is false
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:29:33
yeah
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:29:43
that was a detailed and good explanation
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:29:54
If p is true and s is false, r must be true
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:30:04
...but if p is true and s is true, then we don't know what r is
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:30:11
So yeah, no way to settle on r
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:30:22
It depends on the truth value of s
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:30:32
does it only depend on r?
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:30:43
oh wait
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:30:45
it is
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:30:49
i see why now
1
0
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
186,337,932,678,791,170
Chorcken
04/01/2022 09:30:51
Remember, we assume that each line above that horizontal line is true
0
1
null
null
null
null
null
1,619
help-10
e5ea99dd31f84c61bb7bc9b49569a9f8
456,226,577,798,135,800
Deleted User
04/01/2022 09:30:57
s*
1
0
null
null
null
null
null