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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 09:19:10
Let me try
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 09:19:14
Thanks anyway
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 10:25:56
I think I can solve part a
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 10:26:03
But how about part b
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 10:26:22
https://cdn.discordapp.c…928/IMG_2096.png
IMG_2096.png
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 10:26:48
So I put u=abs(xy)
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:12:24
f(x)<=g(x)<=h(x) then limf(x)<=limg(x)<=limh(x)
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:12:55
What is the limit of 1/(1+u^2) when u approaches 0?
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:13:11
1
1
0
null
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:13:24
We can do the direct computation
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:13:35
And what’s the limit of constant function 1 when u approaches 0?
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:13:49
Still 1?
1
0
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:13:55
Yeah so solved
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:14:06
Oh
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:14:19
So that's just sandwich Theorem
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:14:34
Oh didn’t know that name now I know
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:15:08
Lol I just not sure about the notation
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:15:25
A vector tends to a zero vector
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:15:57
Can’t see any vector here…
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:20:46
Umm (x,y) is in R^2
1
0
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:21:11
By definition
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:21:21
So I can't conpare the left hand limit and the right hand limit
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:21:25
That limit (in terms of x and y ) is actually equal to
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:21:56
Limit u approaches 0+ tan^-1(u)/u
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:22:08
By definition
0
1
null
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:23:07
I mean the right limit of tan^-1(u)/u when x approaches 0 coming from the rand hand side
0
1
null
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null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:24:24
And since tan^-1 (u)/u is continuous at 0 so right limit equals limit
0
1
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:26:30
Ok
1
0
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:26:40
And abs(xy)>0
1
0
null
null
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null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:26:52
Yeah
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:26:53
So we can apply the ineq in part a
1
0
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:26:57
Yeah
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:27:26
Idk, someone answered a for you before I came, I only read b
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:27:58
Lol it is LMVT
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:28:05
I get that already
1
0
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null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:28:59
https://cdn.discordapp.c…323/IMG_2112.png
IMG_2112.png
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:29:18
I want to know how to do part b
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:29:43
Part a is obvious, we can simply factorize the common factor
1
0
null
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:30:38
It looks like the limit x approaches 0 (exp(x)-1)/x in real number
1
0
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:30:49
But this is the R^2 version
1
0
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null
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:31:23
You prove by definition that the limit equals -1
0
1
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null
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872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:31:38
Umm
1
0
null
null
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null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:31:59
So u mean the epsilon delta definition?
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:32:44
Yeah any ε… there exists δ … any x^2+y^2 <δ… …
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:33:24
Using the fact that limit (1-e^u)/u=-1
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:33:37
Ok
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:33:44
I will try
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:34:06
(Hopital rule for that fact)
0
1
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null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:40:38
No you can’t
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:41:16
Points near (1,2) even apart from (1,2) still might satisfy 2x-y=0
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:41:36
Like (1+t,2+2t)
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:42:18
Oh i see
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:42:29
Oh yes you can…
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:42:45
Those kind of points are ruled out from domain in the first place…
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:42:48
So nvm
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 11:45:44
Ok thank you
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:52:00
How do I make my messages hidden, that other people need to click on it to read them?
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
312,175,417,085,788,160
conan
02/24/2022 11:53:11
you mean spoilers?
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
312,175,417,085,788,160
conan
02/24/2022 11:53:19
do `|| message here ||`
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
312,175,417,085,788,160
conan
02/24/2022 11:53:29
or you could just type /spoiler
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:54:05
|| test ||
0
1
940,283,798,782,894,100
parameters
9023
parameters
false
872
help-10
bb741a04c535410fa2ae5f894a60502a
826,318,983,413,366,800
Cogwheels of the mind
02/24/2022 11:54:57
Thanks. Okay got to go, in case you need c) d) e) || c) Consider x=ky || || d) let x=rcos(t), y=rsin(t) || || e) consider x=ky^3 ||
0
1
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 12:04:22
Thank you. I will read it later
1
0
null
null
null
null
null
872
help-10
bb741a04c535410fa2ae5f894a60502a
940,283,798,782,894,100
parameters
02/24/2022 12:13:56
.close
1
0
null
null
null
null
null
873
help-10
508115bd19544075bb69c27b5941955e
388,789,993,084,026,900
Quack
02/24/2022 12:45:05
https://cdn.discordapp.c…_at_17.45.01.png
Screenshot_2022-02-24_at_17.45.01.png
1
0
null
null
null
null
null
873
help-10
508115bd19544075bb69c27b5941955e
388,789,993,084,026,900
Quack
02/24/2022 12:45:27
when we write the integral why is the Jacobian 1/2v and not just 2v
1
0
null
null
null
null
null
873
help-10
508115bd19544075bb69c27b5941955e
388,789,993,084,026,900
Quack
02/24/2022 12:46:02
nm im stupid
1
0
null
null
null
null
null
873
help-10
508115bd19544075bb69c27b5941955e
388,789,993,084,026,900
Quack
02/24/2022 12:46:04
.close
1
0
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
570,073,393,333,010,400
Penguinss3
02/24/2022 13:25:56
I can identify specific points and whether they are continuous or not but I’m not sure about how to determine a range. In this text book, [a,b] is a notation of a <= x <= b. And (a,b) is a < x < b
https://cdn.discordapp.c…452/IMG_5981.jpg
IMG_5981.jpg
1
0
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
570,073,393,333,010,400
Penguinss3
02/24/2022 13:26:35
I think I just need a refresher on the difference between specific points and ranges
1
0
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
606,992,686,498,447,400
Peláez
02/24/2022 13:31:03
If f is continuous in a<x<b, then it is continuous for every point between a and b (exclusive), and the same for [a, b] but inclusive
0
1
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
570,073,393,333,010,400
Penguinss3
02/24/2022 13:42:34
So in the example of [0,2] it would be continuous because there are no gaps?
1
0
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
832,077,822,306,156,500
pepper
02/24/2022 13:43:32
What is the definition of continuity you are given?
0
1
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
373,884,980,977,336,300
Remavas
02/24/2022 13:44:21
I would assume it's the standard $\lim_{x\to a} f(x) = f(a)$
0
1
null
null
null
null
null
874
help-10
56b8343520c146659292f11133281f69
510,789,298,321,096,700
TeXit
02/24/2022 13:44:31
**Remavas**
https://cdn.discordapp.c…980977336321.png
373884980977336321.png
0
1
826,318,983,413,366,800
Cogwheels of the mind
9367
Cogwheels of the mind
false
875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:07:59
Ok so
1
0
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:08:34
https://cdn.discordapp.c…604/IMG_5324.jpg
IMG_5324.jpg
1
0
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:12:03
Anyone yoohooo
1
0
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:12:19
lmao
0
1
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:12:23
you didnt even ask anything
0
1
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:12:32
Oh
1
0
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:12:33
Shit
1
0
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:12:44
It’s making a the subject
1
0
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:13:25
you want to reshape it to a?
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1
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:13:34
Uhm
1
0
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:13:40
Transpose for a
1
0
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null
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:13:47
Idk how to explain it
1
0
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:14:00
you want a=... ?
0
1
null
null
null
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:14:03
Yes
1
0
null
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:14:11
ok where are you stuck?
0
1
null
null
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:14:49
So I’ve squared it to remove the square root
1
0
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:15:08
And now I have z-ax=t^2
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0
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:15:27
yes you got $z-ax = t^2$
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1
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875
help-10
593268a9273b44228c61ff352184bb44
510,789,298,321,096,700
TeXit
02/24/2022 14:15:30
**Big xdddd**
https://cdn.discordapp.c…175594135552.png
325570175594135552.png
0
1
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:15:34
Yes
1
0
null
null
null
null
null
875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:15:39
and what is your next step?
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1
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:15:54
Not sure
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0
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875
help-10
593268a9273b44228c61ff352184bb44
642,875,145,836,560,400
jjay
02/24/2022 14:16:14
Do I need to move the z over
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:16:16
you could add or subtract things on both side
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875
help-10
593268a9273b44228c61ff352184bb44
325,570,175,594,135,550
Big xdddd
02/24/2022 14:16:23
for example yes
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