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help-10
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A Lonely Bean
01/20/2022 12:47:12
But what you can do to make it continuous is
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:47:13
Say that
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:47:23
Take factors
1
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:47:30
And cancel
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:47:36
f(x) = (x^2 - 4)/(x - 2) for x that aren't 2 and f(x) = 4 for x = 2
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:47:53
Those can't cancel at x = 2 still
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:48:05
Yeah
1
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:48:07
But here yeah you can factor and cancel in the first part
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:48:30
Notice that this function is different from just the (x^2 - 4)/(x - 2)
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:48:39
Because it's defined at 2
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561,270,415,008,333,800
Calamity
8861
Calamity
false
184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
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Calamity
01/20/2022 12:48:41
Means if they are in algebra we can cancel out factor but if we plug x value we cant do same
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A Lonely Bean
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help-10
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Calamity
01/20/2022 12:50:05
Yeah that makes sense
1
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:50:22
Btw
1
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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Calamity
01/20/2022 12:51:22
in x^2-4/x-2, if we plug x= 2 it becomes 2^2-4/2-2, can't we still factor 2^2-4 into (2+2)(2-2)
1
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:51:46
Yes so you'll have (2 + 2)*0/0
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:51:58
0 cancels out each other
1
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A Lonely Bean
7998
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:52:00
You can't cancel out 0's (because cancelling means dividing basically)
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:52:07
Oh
1
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:52:18
Wait
1
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:52:26
If you could cancel 0's, then you could say that 0/0 = 1 and 0/0 = 2*0/0 = 2
0
1
null
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:52:34
So 1 = 2?
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:52:42
No
1
0
null
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:52:52
Yeah this is why you can't cancel 0's
0
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A Lonely Bean
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:53:14
I see
1
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:56:05
So back to my original question, if a function is indeterminate at x=something then is it also undefined at x= something?
1
0
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:56:25
Yeah, pretty much
0
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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Calamity
01/20/2022 12:56:32
Ohk
1
0
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:57:12
You said that unlike 1/0 there are some indeterminate forms whose limit exist
1
0
null
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:57:35
What are they?
1
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:58:15
0/0 is one of them
1
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null
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:58:49
Yes for example limit of (x^2 - 4)/(x - 2) exists as x approaches 2, despite it not being defined for x = 2
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
348,696,743,388,381,200
A Lonely Bean
01/20/2022 12:58:59
x^2 - 4 approaches 0 and x - 2 approaches 0
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:59:17
So you have limit of a form 0/0
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 12:59:33
Or for example infinity/infinity
0
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 12:59:56
Yeah!
1
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 13:00:03
Take limit of (2x + 3)/(x^2 - 5) as x approaches infinity
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
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A Lonely Bean
01/20/2022 13:00:07
It's just 0
0
1
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184
help-10
7cd197be06ab4da5913aaf5fb7bf2616
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Calamity
01/20/2022 13:00:18
Yes
1
0
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help-10
7cd197be06ab4da5913aaf5fb7bf2616
561,270,415,008,333,800
Calamity
01/20/2022 13:03:16
.close
1
0
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
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øst
01/20/2022 13:21:21
https://cdn.discordapp.c…amsung_Notes.jpg
SmartSelect_20220120-192109_Samsung_Notes.jpg
1
0
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
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dldh06
01/20/2022 13:23:26
Try it with a simple example, $2^{2x} + 2^{2x}$ and see if you they add or not
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help-10
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TeXit
01/20/2022 13:23:29
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
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øst
01/20/2022 13:24:33
This is exponet rules... hmmm
1
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
808,388,164,107,763,700
øst
01/20/2022 13:25:14
It's gonna be like 2x^2x+1??
1
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185
help-10
95115dcb5dd444dd8152ed5bb2d0a566
485,903,210,272,391,200
dldh06
01/20/2022 13:25:44
I'm saying that if you did your way, it would be 2 * 2^(4x), right?
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
485,903,210,272,391,200
dldh06
01/20/2022 13:26:38
Using the original expression, plug in x = 1, see if the simplified equals the non simplified
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1
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
808,388,164,107,763,700
øst
01/20/2022 13:27:42
Good point they're different
1
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
808,388,164,107,763,700
øst
01/20/2022 13:28:11
So when you add the exponents stay the same
1
0
null
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
485,903,210,272,391,200
dldh06
01/20/2022 13:28:11
So then does that answer your question on if you add the exponents?
0
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
485,903,210,272,391,200
dldh06
01/20/2022 13:28:20
Yes
0
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
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øst
01/20/2022 13:28:30
Yeah, ty man
1
0
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help-10
95115dcb5dd444dd8152ed5bb2d0a566
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øst
01/20/2022 13:28:48
.close
1
0
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186
help-10
13b6edc846f040a095a082caced97f49
485,903,210,272,391,200
dldh06
01/20/2022 13:28:56
It's always best to come up with a simple example, to test
1
0
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186
help-10
13b6edc846f040a095a082caced97f49
456,226,577,798,135,800
Deleted User
01/20/2022 13:32:34
can someone help me with this question
https://cdn.discordapp.c…0409/unknown.png
unknown.png
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øst
8857
øst
false
186
help-10
13b6edc846f040a095a082caced97f49
456,226,577,798,135,800
Deleted User
01/20/2022 13:33:00
https://cdn.discordapp.c…6080/unknown.png
unknown.png
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help-10
13b6edc846f040a095a082caced97f49
456,226,577,798,135,800
Deleted User
01/20/2022 13:55:46
@dldh06 so is that a yes
0
1
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help-10
13b6edc846f040a095a082caced97f49
485,903,210,272,391,200
dldh06
01/20/2022 13:56:47
I don't recall any of this stuff
1
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help-10
13b6edc846f040a095a082caced97f49
456,226,577,798,135,800
Deleted User
01/20/2022 13:56:59
ok thanks ig
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10d60c48c052432c8bcc82849c01a55d
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Momonα
01/20/2022 15:04:31
1
0
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Momonα
01/20/2022 15:04:45
.close
1
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485,903,210,272,391,200
dldh06
2659
dldh06
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:18:21
https://cdn.discordapp.c…72C6580B5F90.jpg
C4F1BAE9-C749-4B0E-95A0-72C6580B5F90.jpg
1
0
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:18:22
I need help with example 3
1
0
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:18:35
I don’t understand how to find the limits of integration
1
0
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:18:42
Where is pi/2 from
1
0
null
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:23:52
@Helpers
1
0
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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Deleted User
01/20/2022 15:25:19
Can you figure it out at what value of x, will the function sin(2x) = 0 ?
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:25:40
Similarly 2cos(2x)
0
1
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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Deleted User
01/20/2022 15:25:53
..
0
1
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:27:14
0
1
0
null
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:27:34
Noo
0
1
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:28:05
sin(x) is 0 at x = π So, sin(2x) is 0 at x = π/2
0
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:28:33
Is this from the unit circle?
1
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264,133,776,874,012,670
LittoBud
9724
LittoBud
false
188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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Deleted User
01/20/2022 15:29:36
See this
https://cdn.discordapp.c…364/images_1.png
images_1.png
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:29:44
Yes
1
0
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:29:56
So here sin(x) is 0 at x = π
0
1
null
null
null
null
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:30:21
sin(2x) will be 0 at π/2
0
1
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null
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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LittoBud
01/20/2022 15:30:30
Yeah
1
0
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:30:32
Ok
1
0
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:30:40
Is this from the unit circle
1
0
null
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188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
456,226,577,798,135,800
Deleted User
01/20/2022 15:30:55
Wdym?
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
264,133,776,874,012,670
LittoBud
01/20/2022 15:31:09
Do I have to memorize the unit circle
1
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help-10
1a5b19de2ef44a32b5167e77fdc31eb9
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øst
01/20/2022 15:51:08
Prob should.... its not that complicated
0
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null
null
188
help-10
1a5b19de2ef44a32b5167e77fdc31eb9
244,129,917,732,651,000
Deus_Vult
01/20/2022 15:51:50
you could use the identity of sin2x if it helps you see the solution
0
1
null
null
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:03:06
https://cdn.discordapp.c…2915101726/2.png
2.png
1
0
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:03:15
not sure how to do this
1
0
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
579,687,304,722,120,700
Eunan
01/20/2022 16:03:59
hello, i don't understand how u do an induction question when there isn't an equals sign
https://cdn.discordapp.c…2072/unknown.png
unknown.png
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:04:55
when I differentiate x=sin^2Θ I get dx = 1/2x+1/4cosΘ dΘ, but idk how to use that to cancel whatever terms to get the integral to become what it asked me
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:05:30
copy paste that into #help-22|smashfielder because it is available and this one isn't
1
0
null
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null
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:06:19
Let's see
0
1
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:06:43
$$\dv{x}{\theta}=\sin2\theta$$
0
1
null
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:06:47
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:08:20
$$\int\sqrt{\frac{x}{1-x}}\dd{x} = \int\sqrt{\frac{\sin^2\theta}{\cos^2\theta}} \dv{x}{\theta}\dd{\theta}$$
0
1
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
510,789,298,321,096,700
TeXit
01/20/2022 16:08:23
**Shuri2060**
https://cdn.discordapp.c…119171756033.png
321445119171756033.png
0
1
null
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null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:08:38
yes I got that
1
0
null
null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:08:44
I don't get this
1
0
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null
null
null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:08:50
isnt it
0
1
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null
null
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:08:52
2 cos sin
0
1
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:08:58
writing like that probably doesnt help ofc
0
1
510,789,298,321,096,700
TeXit
0796
TeXit
true
189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
157,922,913,658,339,330
ses
01/20/2022 16:09:26
sin2Θ = 2cosΘsinΘ
1
0
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189
help-10
46af52a22d3d456cb4a2ffdc2a4167b5
321,445,119,171,756,000
Shuri2060
01/20/2022 16:09:36
$$=\int \tan\theta (2\cos\theta\sin\theta)\dd{\theta}$$
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