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help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:45:49
thats the next question?
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:45:55
oh lol
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:45:59
Lol
1
0
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:46:01
ye basically that
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:46:30
-18m⁷n⁴/m⁴
1
0
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null
null
null
73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:46:36
Is this the answer
1
0
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:46:43
well how about your m
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:46:48
you can still simplify your m
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:47:06
-18m³n⁴ ?
1
0
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null
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null
null
73
help-10
f34195970210460f8cbf7eebc50bcdc4
758,664,761,038,078,000
Michael (Avo)
01/14/2022 23:47:12
yes yes
0
1
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73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:47:28
Ok thanks
1
0
null
null
null
null
null
73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:47:35
Thia is easier than what I thought
1
0
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null
73
help-10
f34195970210460f8cbf7eebc50bcdc4
839,040,537,881,346,000
! QWERTY
01/14/2022 23:47:38
.close
1
0
null
null
null
null
null
74
help-10
8839f29b919d476cbd64a04259c4de39
280,473,855,888,326,660
Dicypher
01/15/2022 00:26:13
im not sure how to solve this
https://cdn.discordapp.c…4352/unknown.png
unknown.png
1
0
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null
null
null
74
help-10
8839f29b919d476cbd64a04259c4de39
569,167,697,925,898,240
Camilleone
01/15/2022 00:28:06
an arithmetic progression is a progression of the form a, a+d, a+2d, a+3d, ...
0
1
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null
null
74
help-10
8839f29b919d476cbd64a04259c4de39
692,870,652,583,215,100
LordTenebrous2
01/15/2022 00:29:07
3x+4 is the arithmetic mean of x, 10x - 7 so 3x+4 = (x+10x-7)/2
0
1
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74
help-10
8839f29b919d476cbd64a04259c4de39
733,395,796,489,273,500
Playmaker
01/15/2022 00:29:12
the difference of any consecutive terms should be same
0
1
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null
74
help-10
8839f29b919d476cbd64a04259c4de39
733,395,796,489,273,500
Playmaker
01/15/2022 00:29:42
as camileone said u can see there is an increment of d
0
1
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74
help-10
8839f29b919d476cbd64a04259c4de39
280,473,855,888,326,660
Dicypher
01/15/2022 00:29:59
oh
1
0
null
null
null
null
null
74
help-10
8839f29b919d476cbd64a04259c4de39
280,473,855,888,326,660
Dicypher
01/15/2022 00:30:04
ok im starting to see it
1
0
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:25:11
Find the domain and range of the following functions: 1. f(x) = x^2 / 1+x^2 2. f(x) = x-3 / 2x+1 I'm having troubles in understanding how the domains and ranges can be found here, so an explanation would help :)
1
0
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:27:28
the domain is all the values of x for which f is defined
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:28:14
that is, every value of x except those values where you run into weird things like zero denominators
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:29:09
ohh and range is like the set containing all possible f(x)?
1
0
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:29:14
yep yep
0
1
null
null
null
null
null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:29:20
ohk
1
0
null
null
null
null
null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:29:21
all possible values of f(x)
0
1
null
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null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:29:26
yes
1
0
null
null
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null
null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:30:21
how do i find them tho
1
0
null
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null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:33:35
that's when you play around with the function
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:33:48
for example, look at x^2/(1+x^2)
0
1
null
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:34:29
the first thing you notice is that x^2 >= 0, so both the numerator and denominator must be non-negative
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:34:43
so f(x) \geq 0 at least
0
1
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null
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:35:40
the next thing is to notice the denominator is always bigger than the numerator, and since they're both non-negative, f(x) < 1 in the worst case
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:36:09
you can check that all values in [0,1) can be attained
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:36:23
an alternate solution is to use partial fractions, i.e.
0
1
null
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
510,789,298,321,096,700
TeXit
01/15/2022 01:36:51
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
1
null
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null
null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:36:51
yes
1
0
569,167,697,925,898,240
Camilleone
1596
Camilleone
false
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
758,664,761,038,078,000
Michael (Avo)
01/15/2022 01:37:37
yo, whats happening
0
1
null
null
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:37:50
then 1/(1+x^2) must lie in (0,1] always
0
1
null
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:38:10
yes or <infinity
1
0
569,167,697,925,898,240
Camilleone
1596
Camilleone
false
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:38:42
ah makes sense now
1
0
null
null
null
null
null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
569,167,697,925,898,240
Camilleone
01/15/2022 01:38:52
in general partial fractions is your best friend
0
1
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75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:39:31
ohh got it now, tysm
1
0
null
null
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null
75
help-10
1952d6a49ee24fbabdd0e5e8fef382f0
360,346,532,895,260,700
quadron
01/15/2022 01:39:47
.close
1
0
null
null
null
null
null
76
help-10
c068046258724d1d86af03447683df22
357,974,039,425,187,840
will159454
01/15/2022 10:13:44
Stuck on this question
https://cdn.discordapp.c…6394/unknown.png
unknown.png
1
0
null
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null
null
77
help-10
75cf3bc23e264cadabf46d1e009b89eb
772,706,247,434,698,800
sparkaks
01/15/2022 11:00:05
k
1
0
null
null
null
null
null
77
help-10
75cf3bc23e264cadabf46d1e009b89eb
772,706,247,434,698,800
sparkaks
01/15/2022 11:00:11
damn sorry
1
0
null
null
null
null
null
77
help-10
75cf3bc23e264cadabf46d1e009b89eb
772,706,247,434,698,800
sparkaks
01/15/2022 11:00:15
.close
1
0
null
null
null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:25:56
d/dx (sin(tan(x ⁴)))
1
0
null
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null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:26:06
How to do this?
1
0
null
null
null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
183,668,144,404,037,630
Ann
01/15/2022 11:26:31
⛓️ 📏
0
1
null
null
null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:28:01
Lol I got it as cos(tan(x⁴)) sec²(x⁴) 4x³ Is that correct
1
0
183,668,144,404,037,630
Ann
0413
Ann
false
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
183,668,144,404,037,630
Ann
01/15/2022 11:28:48
seems ok
0
1
null
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null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:29:42
Can u confirm please, im really confused cause I saw a different answer on youtube
1
0
183,668,144,404,037,630
Ann
0413
Ann
false
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
183,668,144,404,037,630
Ann
01/15/2022 11:29:58
what answer did you see on youtube?
0
1
null
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null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
183,668,144,404,037,630
Ann
01/15/2022 11:30:04
it might actually be the same as yours.
0
1
null
null
null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:30:31
It showed cos(tan x⁴ ) sec²(x⁴)
1
0
183,668,144,404,037,630
Ann
0413
Ann
false
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:30:52
Which one is correct?
1
0
null
null
null
null
null
78
help-10
fa49e55ad7af4006a70a3a543dcf18a1
644,179,230,162,157,600
SenZ
01/15/2022 11:34:16
.close
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:38:48
https://cdn.discordapp.c…9358/unknown.png
unknown.png
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:38:57
Please help me
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:41:56
So here the problem states that the function's graph not only crosses (3, 14), but also that the derivative at that point is 0
0
1
null
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null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:42:08
We can get 2 equations in terms of a and b out of these facts
0
1
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null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:42:35
Since the graph crosses (3, 14), we have 14 = 3^3 + a3^2 + 45*3 + b
0
1
null
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null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:43:40
And also, y'(3) = 0
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:43:40
right
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:43:51
y'(x) = 3x^2 + 2ax + 45 using the power rule
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:43:55
And substituting the values yields
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:44:05
0 = 3*9 + 6a + 45
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:44:12
From here you can easily solve for a
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:44:24
And then solve for b using the previous equation
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:44:39
ohh alright i see
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:46:57
alright how should i do part b?
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:47:11
i have found a and b a=-12 b=-40
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:47:49
So it asks us the coordinates of the other stationary point, meaning we need to find value of x for which y'(x) = 0 but x shouldn't be 3
0
1
null
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null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:47:57
Because we already know y is stationary at x = 3 anyways
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:48:10
Since y'(x) = 0 is a quadratic equation
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:48:20
You'll need to pick the root which isn't 3
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
348,696,743,388,381,200
A Lonely Bean
01/15/2022 11:48:22
And that's it
0
1
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:48:23
yes
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:52:02
OHHH
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:52:04
THANKYOUUU
1
0
null
null
null
null
null
79
help-10
1b6bfbc010544b65b90a09fcf5b7b6af
490,460,036,657,840,100
nm1626
01/15/2022 11:55:04
.close
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 16:55:39
.reopen
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 16:55:50
I have another question if you dont mind
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 16:56:19
@Syst3ms
1
0
193,692,307,453,771,780
Syst3ms
9959
Syst3ms
false
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 16:56:27
go ahead
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 16:58:01
so the question was actually to do the minimal disjunctive NORMAL form, is that any different?
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 17:19:51
Are you here sir?
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 17:23:03
@Syst3ms sorry for pinging
1
0
193,692,307,453,771,780
Syst3ms
9959
Syst3ms
false
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 17:23:18
nah
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 17:23:34
the "normal" refers to the fact that each term that's OR-ed is a conjunction
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 17:23:47
some literals with AND between them
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 17:24:15
So for example A v (B(C v D)) is not DNF
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
193,692,307,453,771,780
Syst3ms
11/03/2021 17:24:30
but A v BC v BD is
0
1
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 17:27:34
Alright, no more questions im out for real this time 😆 see ya!
1
0
null
null
null
null
null
80
help-10
5a50c3ab6e524f4dad7b10bfea20e3cf
898,205,674,931,122,200
Dino Palavra
11/03/2021 17:29:15
.close
1
0
null
null
null
null
null
81
help-10
611f7e56e43a47abaf2442e6ef4b8875
731,290,349,250,805,900
winteriio
01/15/2022 12:16:29
wondering if i could have some help with this question not too sure how to get the value for c
https://cdn.discordapp.c…4635/unknown.png
unknown.png
1
0
null
null
null
null
null
81
help-10
611f7e56e43a47abaf2442e6ef4b8875
731,290,349,250,805,900
winteriio
01/15/2022 12:30:58
@Helpers <3
1
0
null
null
null
null
null