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959ae0ae2bcf46e18907fa0dbc0d63da
714,366,697,422,716,900
zeze
01/30/2022 20:01:21
I'm sorry I couldn't understand
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959ae0ae2bcf46e18907fa0dbc0d63da
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Shen
01/30/2022 20:05:13
As x gets larger and larger (infinitely large), what do $e^{4x}$ and $e^{-4x}$ approach?
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help-1
959ae0ae2bcf46e18907fa0dbc0d63da
510,789,298,321,096,700
TeXit
01/30/2022 20:05:16
**Shen**
https://cdn.discordapp.c…149903056927.png
800622149903056927.png
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help-1
959ae0ae2bcf46e18907fa0dbc0d63da
800,622,149,903,056,900
Shen
01/30/2022 20:05:31
Another way you can think about this limit is identifying what terms "dominate" the limit
0
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help-1
a7b9441d13b9494d91e6b0d999db42b8
912,228,383,860,097,000
Nixolas
01/30/2022 20:33:34
https://cdn.discordapp.c…3180/unknown.png
unknown.png
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a7b9441d13b9494d91e6b0d999db42b8
912,228,383,860,097,000
Nixolas
01/30/2022 20:33:40
Helpp
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a7b9441d13b9494d91e6b0d999db42b8
912,228,383,860,097,000
Nixolas
01/30/2022 20:33:51
Idk how to answer this type of questions
1
0
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17d6913f2e95405e899685881bd5cc3a
169,238,160,952,393,760
AC
01/30/2022 21:21:57
https://cdn.discordapp.c…5840/unknown.png
unknown.png
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help-1
17d6913f2e95405e899685881bd5cc3a
169,238,160,952,393,760
AC
01/30/2022 21:28:53
97-43=54
1
0
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help-1
17d6913f2e95405e899685881bd5cc3a
169,238,160,952,393,760
AC
01/30/2022 21:29:02
is it simply 10^54
1
0
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help-1
17d6913f2e95405e899685881bd5cc3a
169,238,160,952,393,760
AC
01/30/2022 21:29:02
?
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17d6913f2e95405e899685881bd5cc3a
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AC
01/30/2022 21:30:18
@Helpers
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17d6913f2e95405e899685881bd5cc3a
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AC
01/30/2022 21:44:06
@Helpers
1
0
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help-1
17d6913f2e95405e899685881bd5cc3a
481,266,434,635,202,560
KillerWhale2498
01/30/2022 21:48:25
what
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dldh06
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dldh06
false
205,786
help-1
17d6913f2e95405e899685881bd5cc3a
169,238,160,952,393,760
AC
01/30/2022 21:58:22
.close
1
0
null
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205,787
help-1
7871f668939747c989140da91e970cdc
657,219,869,598,548,000
Misty
12/23/2021 17:46:10
I’m confused on how to incorporate the MVT
1
0
null
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205,787
help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:49:19
do you know what the MVT is?
0
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help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:49:30
@Misty
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help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:52:52
the mvt states that if a function is continuous on the closed interval [a,b] (**using [] not () to signify closed**), and differentiable on the open interval (**using () not [] to signify open**), then there will be at least 1 point at x=c where f'(c) is equal to the average rate of change across the interval
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ItsSammy!
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ItsSammy!
false
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Misty
12/23/2021 17:53:17
I’m thinking
1
0
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help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:53:18
the average rate of change is shown to be the slope of that longer dotted line from f(0) to f(12)
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24karat
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Misty
12/23/2021 17:53:29
Yes I follow
1
0
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205,787
help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:53:39
so we need to find the points inside the interval where f'(c) equals that slope
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205,787
help-1
7871f668939747c989140da91e970cdc
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Misty
12/23/2021 17:54:06
Ok
1
0
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help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:54:17
im not great at drawing but here is a visualization i found
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help-1
7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:54:37
https://cdn.discordapp.c…c5c74c72626f.png
15d246802c3faf8e0d09a6ecf3eac5c74c72626f.png
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7871f668939747c989140da91e970cdc
456,226,577,798,135,800
Deleted User
12/23/2021 17:55:00
the point tangent to the pink line is what we're looking for if the green line is the AROC (average rate of change)
0
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help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 19:55:14
https://cdn.discordapp.c…5514/unknown.png
unknown.png
0
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null
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null
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help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 19:55:23
I need help with this change of variables
0
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help-1
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Brandon7716
12/23/2021 19:55:38
I was working on some example but wanted the actual solution to the answer
0
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Brandon7716
12/23/2021 19:57:48
specifically the last section
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Brandon7716
12/23/2021 19:58:15
https://cdn.discordapp.c…5870/unknown.png
unknown.png
0
1
null
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null
null
null
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 19:58:27
https://cdn.discordapp.c…0564/unknown.png
unknown.png
0
1
351,013,311,996,887,040
♡ nahitspanda ♡
9582
♡ nahitspanda ♡
false
205,787
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Brandon7716
12/23/2021 20:00:13
https://cdn.discordapp.c…8476/unknown.png
unknown.png
0
1
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help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 20:00:18
https://cdn.discordapp.c…0734/unknown.png
unknown.png
0
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null
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null
null
null
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:00:57
u=y/2
0
1
null
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null
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null
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:01:03
x^2+(u)^2=1
0
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:01:06
a circle
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:01:26
must I now compute the jacobian determinant?
0
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RV
4775
RV
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205,787
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7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:04:20
u=y/2
0
1
null
null
null
null
null
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:04:21
v=x
0
1
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null
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:18:10
https://cdn.discordapp.c…1814/unknown.png
unknown.png
0
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null
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null
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null
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:18:21
this is what I assume the flux and region is suppose to look like
0
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:20:03
https://cdn.discordapp.c…7690/unknown.png
unknown.png
0
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null
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:20:51
https://cdn.discordapp.c…1578/unknown.png
unknown.png
0
1
null
null
null
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:20:53
where is what I have
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:20:56
but it doesn't sound right
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:21:07
the jacobian from dxdy to dvdu
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:21:09
was -1/2
0
1
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null
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:21:34
and then I needed to convert dvdu to drdtheta
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:21:39
and im not sure if I messed up that step
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:25:04
as the answer isn't provided in the exam
0
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:25:06
example*
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:25:10
i cant verify my work
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:30:16
the only issue I am only issue I already see is that i have negative flux when I assume it should be positive
0
1
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 20:40:25
:angerysad:
0
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205,787
help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:06:27
Is the jacobian actually -1/2?
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:07:12
I believe so
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7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 21:07:49
either that or maybe 1/2
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 21:09:06
still that would only be a sign change
0
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help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 21:09:15
and I just don't know how to verify the answer
0
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Brandon7716
12/23/2021 21:09:36
it would be like
0
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:09:50
dxdy=|jacobian|dvdu
0
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null
null
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:10:04
https://cdn.discordapp.c…2065/unknown.png
unknown.png
0
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null
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null
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205,787
help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:14:24
Shouldn't it be the other way around?
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:14:37
x=u, y=2v
0
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697,299,901,083,549,700
HappyAlt
1857
HappyAlt
false
205,787
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7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:15:47
maybe :holothink:
0
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205,787
help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:15:51
Giving us the |jacobian|=2
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:23:33
https://cdn.discordapp.c…7352/unknown.png
unknown.png
0
1
321,445,119,171,756,000
Shuri2060
9525
a μ-er
false
205,787
help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:23:39
idk if pi seems reasonable or not
0
1
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205,787
help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:31:55
Why is it not reasonable?
0
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:33:13
I mean it sounds reasonable
0
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help-1
7871f668939747c989140da91e970cdc
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Brandon7716
12/23/2021 21:33:17
I just don't know if it is correct
0
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help-1
7871f668939747c989140da91e970cdc
691,679,326,164,222,100
Euclid31415
12/23/2021 21:34:25
I don't see any mistakes
0
1
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help-1
7871f668939747c989140da91e970cdc
249,627,068,046,901,250
Brandon7716
12/23/2021 21:38:59
.close
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help-1
b6502d37dc67407db5152902f63ce8c4
169,238,160,952,393,760
AC
01/30/2022 21:58:33
:I thanks for nothing guys
1
0
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:01:52
So, I'm kind of stuck proving that if $b_1 + ... + b_m \leq n$, then $b_1! \cdots b_m! \leq n!$
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b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:02:38
I was thinking induction, but then idek what my base case would be. There's probably something more elegant
0
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help-1
b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:05:20
**beeswax**
https://cdn.discordapp.c…727098101810.png
709959727098101810.png
0
1
220,517,274,845,577,200
ramonov
0921
ℝamonov
false
205,788
help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:09:20
fix m, do induction on n
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:10:32
Okay, let me try that
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:15:53
For n=0, the base case, if $$ b_1 + \cdots+ b_m \leq 0 $$ then that means that entire sum on the LHS is 0, right?
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b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:16:12
**beeswax**
https://cdn.discordapp.c…727098101810.png
709959727098101810.png
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:16:12
sure, yes
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help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:16:37
of course you should be taking $b_i\geq 0$ as an assumption anyway because otherwise what is $b_i!$
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help-1
b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:16:40
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:17:44
Right! Okay, so then for the base case, I can assume $b_i=b_j$
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help-1
b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:17:46
**beeswax**
https://cdn.discordapp.c…727098101810.png
709959727098101810.png
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1
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:17:55
For any i,j
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1
710,788,626,811,715,600
trashp
8675
trashp
false
205,788
help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:20:34
and they are all 0, zat important
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:21:11
Okay, I think I got the base case. One sec
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:24:05
https://cdn.discordapp.c…461450/image.png
image.png
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help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:24:35
yeh
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:29:39
For the inductive case, the assumption is that $$ b_1 + \cdots + b_m \leq n. $$ So, I am proving that if $$ b_1! \cdots b_m! \leq n! $$, then $$ b_1! \cdots b_m! \leq (n+1)! $$ right?
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help-1
b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:30:38
**beeswax**
https://cdn.discordapp.c…727098101810.png
709959727098101810.png
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1
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:31:04
no
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help-1
b6502d37dc67407db5152902f63ce8c4
709,959,727,098,101,800
beeswax
01/30/2022 22:31:13
Oh what
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help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:31:36
$P(n)$ is the predicate: If $b_1 + ... + b_m \leq n$, then $b_1! \cdots b_m! \leq n!$
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
510,789,298,321,096,700
TeXit
01/30/2022 22:32:02
**Camilleone**
https://cdn.discordapp.c…697925898261.png
569167697925898261.png
0
1
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205,788
help-1
b6502d37dc67407db5152902f63ce8c4
569,167,697,925,898,240
Camilleone
01/30/2022 22:32:43
the base case should read: If $b_1 + \dots + b_m \leq 0$, then $b_1!\dots b_m! \leq 0!$
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