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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:44:47
right? im kind of confused where the ln x went
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help-10
075f2e77c63c4cdd95b71e2782c238e1
594,242,143,867,109,400
Tronsi
02/21/2022 16:44:51
Which problem are we talking about rn
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help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:45:00
its pinned
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:45:41
okay do you actually need to prove that d / dx ln x = 1/x
0
1
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:45:44
or can you just state it
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:45:48
I feel like you can just state it
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:46:44
yea but im unsure of how i get it in case its on a test or something
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:46:47
should i just have to remember it?
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help-10
075f2e77c63c4cdd95b71e2782c238e1
594,242,143,867,109,400
Tronsi
02/21/2022 16:46:50
You should know that logb'(x) = 1/(ln(b) x)
0
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:47:22
well, remember that the derivative of ln x is 1/x is actually really helpful
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:47:28
like logarithmic differentiation and all that stuff
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SlyDaw
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:47:33
not a tough one to remember
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null
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:47:36
the proof is considerably worse
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:47:41
okay so i'll just remember that ln x is 1/x
1
0
null
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null
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
594,242,143,867,109,400
Tronsi
02/21/2022 16:47:59
You should remember the derivative of any log
0
1
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:48:14
eh the rest are easy to figure out
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:48:22
what are the rest?
1
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
704,179,090,395,103,200
Saccharine
02/21/2022 16:48:22
log_b x = ln x / ln b
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1
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null
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
594,242,143,867,109,400
Tronsi
02/21/2022 16:49:00
It's easier just to remember the general derivative for logs and recognizing ln e is 1
0
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808
help-10
075f2e77c63c4cdd95b71e2782c238e1
594,242,143,867,109,400
Tronsi
02/21/2022 16:49:06
imo
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help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:54:28
oky makes sense, thanks
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help-10
075f2e77c63c4cdd95b71e2782c238e1
340,615,557,692,784,640
SlyDaw
02/21/2022 16:54:30
.close
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help-10
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Katharine
02/21/2022 16:55:29
@SlyDaw
https://cdn.discordapp.c…1522/unknown.png
unknown.png
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help-10
e46344243d794ec39c49cdc0d73f8eb5
594,242,143,867,109,400
Tronsi
02/21/2022 17:08:08
https://discordapp.com/channels/268882317391429632/903430332324405288/945439737185960006
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d769e303a8b54562a3ac6e3a4f9070f7
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Moony
02/21/2022 17:35:35
Hi, I'm stuck on this question (namely C and D), I don't really know what to do
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:35:37
https://cdn.discordapp.c…20221-142357.jpg
Screenshot_20220221-142357.jpg
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d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:36:18
For C I've already gotten the sum of 11/500 and 19/500 which is 3/50 in simplified form, but I don't know what to do next
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:43:46
to get the amount of times the mass of the steel is compared to the other mass?
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:44:42
Yeah, idk how exactly to get to that
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:45:04
well we know that the mass of the steel is 47/50 times the mass of the coin
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:45:20
and you've calculated that the combined mass of the others is 3/50 times the mass of the coin
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
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Katharine
02/21/2022 17:45:44
which means that the amount of times the mass of the steel is in terms of the mass of the combined others is
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810
help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:45:50
one divided by the other
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:46:45
at least that's how i read the question
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:46:50
i hate text questions 😄
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SlyDaw
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:47:03
Me too, lemme just read what you said again
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:49:40
So is it the mass of the steel decided by the combined mass of the others?
1
0
null
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810
help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:49:59
that's what i read the question as
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:51:05
Idk if this counts as asking for the answer but that would look like 47/50 divided by 3/50 =47/50 x 50/3 right? If this is kinda asking for the answer dw about answering it
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:51:33
yes that's how you could write it
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:52:51
Okay I think I know how to do C
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:53:15
And then D is just 4.4 x 40 divided by the mass of the nickel?
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:54:06
i read d as
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810
help-10
d769e303a8b54562a3ac6e3a4f9070f7
160,921,656,313,905,150
Katharine
02/21/2022 17:54:30
the difference in mass of the copper in the 40 4.4g coins compared to the nickel in the coins
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1
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810
help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:54:56
Ohh okay
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:55:03
Thank you!
1
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help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:55:23
I'm gonna close the channel now, tysm and have a nice day
1
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810
help-10
d769e303a8b54562a3ac6e3a4f9070f7
766,126,766,589,739,000
Moony
02/21/2022 17:55:32
.close
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help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:33:56
https://cdn.discordapp.c…622/IMG_7100.png
IMG_7100.png
1
0
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help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:34:28
Okay just look at the statistics, it’s a question about calculation
1
0
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811
help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:35:43
The purple underlined get me fked up, cuz it’s different from what I had
1
0
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811
help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:36:13
https://cdn.discordapp.c…158/IMG_7101.png
IMG_7101.png
1
0
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811
help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:36:23
Here’s my attempt
1
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811
help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:37:26
Oh I see the problem
1
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help-10
41e510ed5d8d426b9282ae2f3eb364ea
708,594,064,060,055,600
PB
02/21/2022 19:39:21
.close
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:44:08
Could someone help me with how to show that
1
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help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:44:14
$$ \left \lfloor{\frac{2b}{b^2-1}}\right \rfloor = 0 $$ where b \in \mathbb{N}, \quad b \geq 3
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813
help-10
ff6349bcd25f454d9f7200a24476c442
510,789,298,321,096,700
TeXit
11/07/2021 13:44:17
**Nurkas** Compile Error! Click the :errors: reaction for more information. (You may edit your message to recompile.)
https://cdn.discordapp.c…093951545346.png
340963093951545346.png
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help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:45:26
I can see that it is so, but I don't know if I could/should do something to make it more obvious that it is so
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:47:05
(this is the end result of some earlier algebraic manipulation, not sure if I could continue to show it more clearly that the floor function has to be zero or I just say it is because b \geq 3 and leave it at that)
1
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help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:47:56
there's a nice inequality you can do to show it's <1
0
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:48:16
b^2 = (b+1)(b-1), and try to adjust one of those factors so that the fraction gets a little bigger, and that lets you cancel the b in the numerator
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:50:49
I don't understand what do you mean by adjusting factors so that the fraction gets a little bigger
1
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null
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:52:02
I can do $$ \left \lfloor{\frac{2}{b - \frac{1}{b}}}\right \rfloor = 0 $$
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:52:03
like change one of the (b+1) or (b-1) to a b
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813
help-10
ff6349bcd25f454d9f7200a24476c442
510,789,298,321,096,700
TeXit
11/07/2021 13:52:04
**Nurkas**
https://cdn.discordapp.c…093951545346.png
340963093951545346.png
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:52:29
that's fine too sure
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help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:52:39
so 1/b < 1 so b-1/b >2 (b>=3)
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:52:46
so the whole thing is less than 1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:53:44
yeah yeah, ok that makes sense
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:54:40
but if I take (b+1)(b-1) and get the b as factor isn't it the same thing
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:55:01
I didn't quite understand how I can change one of them to b
1
0
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:57:19
$$ \left \lfloor{\frac{2b}{(b+1)(b-1)}}\right \rfloor < \left \lfloor{\frac{2b}{b(b-1)}}\right \rfloor $$
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1
null
null
null
null
null
813
help-10
ff6349bcd25f454d9f7200a24476c442
510,789,298,321,096,700
TeXit
11/07/2021 13:57:21
**Plurmorant**
https://cdn.discordapp.c…979849838592.png
140928979849838592.png
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1
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null
null
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:57:34
oh yeah
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 13:58:33
but if b = 3 that floor function will be 1?
1
0
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:59:06
yeah it almost doesn't work
0
1
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:59:12
but since the inequality is strict it's fine
0
1
null
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null
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
140,928,979,849,838,600
Plurmorant
11/07/2021 13:59:15
the previous one is <1
0
1
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:00:26
oh yeah
1
0
null
null
null
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:00:30
that's right
1
0
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:00:32
I like it
1
0
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null
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:00:37
thank you very much
1
0
null
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null
813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:01:33
👍
1
0
null
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813
help-10
ff6349bcd25f454d9f7200a24476c442
340,963,093,951,545,340
Nurkas
11/07/2021 14:01:55
.close
1
0
null
null
null
null
null
814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 20:20:35
I'm solving this sphere filling with water problem. It asks for d(A)/dt, rate of expansion of the waters surface area. I'm confused, why is it when I derive area first, plug in r, and solve for the rest of the variables I get the wrong answer, but when I initially plug in r into the area equation then derive, solve for...
1
0
null
null
null
null
null
814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 20:20:42
https://cdn.discordapp.c…20221_164037.jpg
20220221_164037.jpg
1
0
null
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 20:21:20
I tried my best to separate the two methods
1
0
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null
814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 20:21:23
@Helpers
1
0
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
108,979,609,457,922,050
thatsouris
02/21/2022 21:49:47
those r some gooood notes
0
1
null
null
null
null
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
108,979,609,457,922,050
thatsouris
02/21/2022 21:50:12
also i’d recommend asking that on multi variable calc
0
1
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
108,979,609,457,922,050
thatsouris
02/21/2022 21:50:28
cus people there actually know how to do partials
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1
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 22:06:15
Thank you. Part of the reason I enjoy math is the way the notes look afterwards.
1
0
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814
help-10
815ec30c7b6f4777a9e10af9d835295c
259,940,216,557,535,230
Anti-Seiko
02/21/2022 22:08:24
.close
1
0
null
null
null
null
null
815
help-10
0db16cd183dc4fb48c9b73defc65aee5
402,545,906,718,605,300
Jash
02/21/2022 22:15:56
can someone explain what my teacher did
https://cdn.discordapp.c…520/IMG_0684.png
IMG_0684.png
1
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815
help-10
0db16cd183dc4fb48c9b73defc65aee5
402,545,906,718,605,300
Jash
02/21/2022 22:16:02
i’m so confused
1
0
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null
815
help-10
0db16cd183dc4fb48c9b73defc65aee5
757,890,033,238,671,400
Sabertoothed Rat
02/21/2022 22:18:53
which part?
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815
help-10
0db16cd183dc4fb48c9b73defc65aee5
402,545,906,718,605,300
Jash
02/21/2022 22:26:53
like his diagram
1
0
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815
help-10
0db16cd183dc4fb48c9b73defc65aee5
757,890,033,238,671,400
Sabertoothed Rat
02/21/2022 22:32:04
well see
0
1
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null
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815
help-10
0db16cd183dc4fb48c9b73defc65aee5
757,890,033,238,671,400
Sabertoothed Rat
02/21/2022 22:32:12
the blue part is a rectangle
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