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help-1
1771e47d2cf14a07a0555a62f2e30bda
420244167726333953
James Anderson
01/31/2022 06:00:56
Use the formula
0
1
nan
nan
nan
nan
5,448,050
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:00:57
i c
1
0
nan
nan
nan
nan
5,448,051
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:01:01
aight
1
0
933745748619702322
Lynn Adams
Lynn Adams
False
5,448,052
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:01:13
can u teach with a different formula. one with rational roots
1
0
nan
nan
nan
nan
5,448,053
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:01:25
splitting the middle term
1
0
nan
nan
nan
nan
5,448,054
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
420244167726333953
James Anderson
01/31/2022 06:01:26
Or you could use completing the square
0
1
nan
nan
nan
nan
5,448,055
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:01:34
not sure how to do this either
1
0
nan
nan
nan
nan
5,448,056
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
420244167726333953
James Anderson
01/31/2022 06:01:45
Search up a video
0
1
nan
nan
nan
nan
5,448,057
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:01:51
fair enough
1
0
nan
nan
nan
nan
5,448,058
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
420244167726333953
James Anderson
01/31/2022 06:01:55
Sure
0
1
nan
nan
nan
nan
5,448,059
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:02:07
thanks
1
0
nan
nan
nan
nan
5,448,060
205,794
help-1
1771e47d2cf14a07a0555a62f2e30bda
478187837771087873
Devon Taylor
01/31/2022 06:17:29
.close
1
0
nan
nan
nan
nan
5,448,061
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 06:53:02
On Archimedes' tombstone there is said to have been an inscription sol showed a cylinder with an inscribed sphere. 2500 years ago Archimedes found that the ratio between the globe volume and the cylinder volume was always 2/3.
1
0
nan
nan
nan
nan
5,448,062
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 06:53:15
A) show that the ball is 2/3 of the volume of the cylinder
1
0
nan
nan
nan
nan
5,448,063
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 06:53:24
B) it is actually the case that even the sphere area is 2/3 of the area of ​​the cylinder. Show that it is so. Tip: put the measurement on the globe and the cylinder and count your measurements
1
0
nan
nan
nan
nan
5,448,064
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 06:57:18
Maybe using Cavalieri's principle?
0
1
nan
nan
nan
nan
5,448,065
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:00:14
Idk
1
0
nan
nan
nan
nan
5,448,066
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:03:23
Basically, it's a principle as follows: Suppose two 3d-objects are included between two parallel planes. If the cross-section of two objects on a plane is equal in area, the two objects have the same area.
0
1
nan
nan
nan
nan
5,448,067
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:05:29
Huh
1
0
nan
nan
nan
nan
5,448,068
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:06:04
The standard way to do it is to compare a hemisphere of radius r and a cylinder of radius r and height r minus an upside-down cone with the same radius and height.
0
1
761155030513352705
Ruth Young
Ruth Young
False
5,448,069
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:06:29
Huh
1
0
nan
nan
nan
nan
5,448,070
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:07:35
I don't understand
1
0
nan
nan
nan
nan
5,448,071
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:07:57
This is a graph from wikipedia.
0
1
nan
nan
nan
nan
5,448,072
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:07:59
https://upload.wikimedia…avalieri.svg.png
0
1
nan
nan
nan
nan
5,448,073
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:08:14
Ok
1
0
nan
nan
nan
nan
5,448,074
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:09:48
The volume of the cylinder without the cone part should be equal to the volume of the hemisphere.
0
1
nan
nan
nan
nan
5,448,075
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:10:31
To show that, we take a slice on a plane parallel to the base of the cylinder at an arbitrary height.
0
1
nan
nan
nan
nan
5,448,076
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:14:36
What
1
0
nan
nan
nan
nan
5,448,077
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:17:11
What words are you confused at?
0
1
nan
nan
nan
nan
5,448,078
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:17:39
Hemisphere, perpendicularl, arbitrary
1
0
673062964059701258
Valeria Harris
Valeria Harris
False
5,448,079
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:19:00
1. Hemisphere = half of an sphere 2. sorry, I mean parallel 3. for any h, show that the slice of both objects have an equal area.
0
1
nan
nan
nan
nan
5,448,080
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:19:41
Hmm okb
1
0
nan
nan
nan
nan
5,448,081
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:19:45
But I still don't understand
1
0
nan
nan
nan
nan
5,448,082
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:35:07
Which part do you still not understand now?
0
1
nan
nan
nan
nan
5,448,083
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:37:29
How do I answer a and b
1
0
nan
nan
nan
nan
5,448,084
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 07:37:59
That proof is answering a
0
1
nan
nan
nan
nan
5,448,085
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 07:39:36
Ok
1
0
nan
nan
nan
nan
5,448,086
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 08:11:55
@Helpers
1
0
nan
nan
nan
nan
5,448,087
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 08:27:16
I mean, I showed you how to solve it. Just apply the Cavalieri's principle on that diagram I have given to answer a.
0
1
nan
nan
nan
nan
5,448,088
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 09:02:49
I never learned that principle
1
0
nan
nan
nan
nan
5,448,089
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 09:18:51
Well, that's not usually taught in schools, because that technique was rendered obsolete with calculus. But if you want to solve it the was Archimedes did, you have to use that principle.
0
1
nan
nan
nan
nan
5,448,090
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 09:24:08
Uhh
1
0
nan
nan
nan
nan
5,448,091
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
898592085215674459
Marissa Flores
01/31/2022 09:24:16
How do I answer b then
1
0
nan
nan
nan
nan
5,448,092
205,795
help-1
deb288c2d3ea49a094b1c323dbfbcf79
503047891271680001
Sergio Moore
01/31/2022 09:34:54
Honestly, I don't know it yet.
0
1
nan
nan
nan
nan
5,448,093
205,796
help-1
4a42a3ec41b94839841cc05178121aff
321445119171756033
Bryce Martinez
01/31/2022 10:31:50
indeed
1
0
nan
nan
nan
nan
5,448,094
205,796
help-1
4a42a3ec41b94839841cc05178121aff
321445119171756033
Bryce Martinez
01/31/2022 10:31:53
triangle inequality
1
0
nan
nan
nan
nan
5,448,095
205,796
help-1
4a42a3ec41b94839841cc05178121aff
321445119171756033
Bryce Martinez
01/31/2022 10:32:04
look it up
1
0
nan
nan
nan
nan
5,448,096
205,796
help-1
4a42a3ec41b94839841cc05178121aff
321445119171756033
Bryce Martinez
01/31/2022 10:32:20
the one side cannot be longer than the sum of the other 2
1
0
nan
nan
nan
nan
5,448,097
205,797
help-1
7f9e6926fdcd4dc588b7cfa375115b5e
852592874754932768
Giselle Torres
01/31/2022 10:52:46
https://cdn.discordapp.c…66880/image0.jpg
image0.jpg
1
0
nan
nan
nan
nan
5,448,098
205,797
help-1
7f9e6926fdcd4dc588b7cfa375115b5e
852592874754932768
Giselle Torres
01/31/2022 10:52:56
where does the x disappear to?
1
0
nan
nan
nan
nan
5,448,099
205,797
help-1
7f9e6926fdcd4dc588b7cfa375115b5e
852592874754932768
Giselle Torres
01/31/2022 10:54:19
o nvm i misread
1
0
nan
nan
nan
nan
5,448,100
205,797
help-1
7f9e6926fdcd4dc588b7cfa375115b5e
852592874754932768
Giselle Torres
01/31/2022 10:54:21
.close
1
0
nan
nan
nan
nan
5,448,101
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:11:19
Hi I'm looking for help for a graphing issue
1
0
nan
nan
nan
nan
5,448,102
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:11:40
((x/10)^2) + ((y/10)^2) = 1 ((x/5)^2) + (((y-5)/x)^2) = 1 |x| + 6 {-3≼x≼3} (0.5x^2) - 8 {-4≼x4}
1
0
nan
nan
nan
nan
5,448,103
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:11:50
on desmos this graphs out a sorta smiley face
1
0
nan
nan
nan
nan
5,448,104
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:12:24
I'm trying to make it work in a way that the average Joe can see this, enter it in a graphing calculator and say, damn that's a face
1
0
nan
nan
nan
nan
5,448,105
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:26:11
@Helpers
1
0
nan
nan
nan
nan
5,448,106
205,798
help-1
76f7a1cc319344499bc67bf7e3f7023e
366576372203651072
Leon Lopez
12/23/2021 22:32:35
.close
1
0
nan
nan
nan
nan
5,448,107
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:03:43
https://cdn.discordapp.c…46442/image0.jpg
image0.jpg
1
0
nan
nan
nan
nan
5,448,108
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:03:48
haha why is this wrong?
1
0
nan
nan
nan
nan
5,448,109
205,799
help-1
9ba804b847e947e6b367928e7a82a390
179622041505366016
Alexa Brown
01/31/2022 11:06:57
What does allow you to do `ln F(x) = Int ln(...)` ?
0
1
nan
nan
nan
nan
5,448,110
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:07:56
I have no idea lol
1
0
nan
nan
nan
nan
5,448,111
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:08:16
I thought we could because we use ln to differentiate uhh
1
0
nan
nan
nan
nan
5,448,112
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:08:22
total differentiation qs?
1
0
nan
nan
nan
nan
5,448,113
205,799
help-1
9ba804b847e947e6b367928e7a82a390
179622041505366016
Alexa Brown
01/31/2022 11:08:45
How ?
0
1
nan
nan
nan
nan
5,448,114
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:09:28
I forgot but I recall using it.
1
0
nan
nan
nan
nan
5,448,115
205,799
help-1
9ba804b847e947e6b367928e7a82a390
179622041505366016
Alexa Brown
01/31/2022 11:09:50
Well, you cannot do what you did here
0
1
nan
nan
nan
nan
5,448,116
205,799
help-1
9ba804b847e947e6b367928e7a82a390
179622041505366016
Alexa Brown
01/31/2022 11:10:20
Applying `ln` to an integral is _not_ the same as applying `ln` to the integrated function
0
1
nan
nan
nan
nan
5,448,117
205,799
help-1
9ba804b847e947e6b367928e7a82a390
852592874754932768
Giselle Torres
01/31/2022 11:11:21
Okay.
1
0
nan
nan
nan
nan
5,448,118
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:30:30
Any help here? I'm getting T --> infinity only when time --> -infinity, which doesnt make sense
https://cdn.discordapp.c…_11.29.17_AM.png
Screen_Shot_2022-01-31_at_11.29.17_AM.png
1
0
nan
nan
nan
nan
5,448,119
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:30:49
I think the main problem I'm getting is coming from the integral
1
0
nan
nan
nan
nan
5,448,120
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:31:04
since I dont know if you have to use absolute values here or not
1
0
nan
nan
nan
nan
5,448,121
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
179622041505366016
Alexa Brown
01/31/2022 11:31:24
Show your work
0
1
nan
nan
nan
nan
5,448,122
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:32:29
one sec
1
0
nan
nan
nan
nan
5,448,123
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:32:43
https://cdn.discordapp.c…136/IMG_0458.jpg
IMG_0458.jpg
1
0
nan
nan
nan
nan
5,448,124
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:33:39
https://cdn.discordapp.c…_11.33.31_AM.png
Screen_Shot_2022-01-31_at_11.33.31_AM.png
1
0
nan
nan
nan
nan
5,448,125
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:38:23
@Helpers
1
0
nan
nan
nan
nan
5,448,126
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:44:35
$\dd{t} = \frac{\dd{T}}{e^T-h}$
0
1
nan
nan
nan
nan
5,448,127
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:48:04
does the ansswer involve absolute values
1
0
321445119171756033
Bryce Martinez
Bryce Martinez
False
5,448,128
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:48:25
$ht=-\ln \qty|\frac{1-he^{-T}}{1-h}|$
0
1
nan
nan
nan
nan
5,448,129
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:51:17
hmmmmm
0
1
nan
nan
nan
nan
5,448,130
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 11:51:22
i didnt get that
1
0
nan
nan
nan
nan
5,448,131
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:51:30
I thought so
0
1
nan
nan
nan
nan
5,448,132
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:51:31
wait
0
1
nan
nan
nan
nan
5,448,133
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:52:24
the problem is with how you integrated
0
1
nan
nan
nan
nan
5,448,134
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:53:13
$\int \frac{\dd{T}}{e^T-h} = \int \frac{e^{-T}\dd{T}}{1-he^{-T}}$
0
1
nan
nan
nan
nan
5,448,135
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:54:07
$=\frac{1}{h} \int \frac{\dd{(1-he^{-T})}}{1-he^{-T}}$
0
1
nan
nan
nan
nan
5,448,136
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:54:50
$=\frac{ln|1-he^{-T}|}{h}$
0
1
nan
nan
nan
nan
5,448,137
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:55:40
So, your $\Delta ht = \ln \qty|\frac{1-he^{-T}}{1-h}|$
0
1
nan
nan
nan
nan
5,448,138
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:57:15
So you have, as $T \to \infty$, ignition time $t = -\frac{1}{h} \ln |1-h|$
0
1
nan
nan
nan
nan
5,448,139
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 11:58:32
figure the condition on h :O
0
1
nan
nan
nan
nan
5,448,140
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:09:07
how did you get this
1
0
nan
nan
nan
nan
5,448,141
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:09:15
from ln(1-he^-T)
1
0
nan
nan
nan
nan
5,448,142
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:18:34
how did you get this from ln(1-he^-T)
1
0
nan
nan
nan
nan
5,448,143
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:19:50
my question is
1
0
nan
nan
nan
nan
5,448,144
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:19:54
how were you able to do that
1
0
nan
nan
nan
nan
5,448,145
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:19:58
and combine the absolute values
1
0
nan
nan
nan
nan
5,448,146
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
239571360169459712
Genesis Garcia
01/31/2022 12:20:38
and after this, how would you isolate T? @Ansh_
1
0
nan
nan
nan
nan
5,448,147
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 12:52:39
Did you get the steps till here?
0
1
nan
nan
nan
nan
5,448,148
205,800
help-1
56fad1cd1b3c451aa125875122ae1971
706934233012371577
Darius Clark
01/31/2022 12:53:35
All I did was simplify the dT/dt = e^T - h And, integrate the right side till this step you're talking about
0
1
nan
nan
nan
nan
5,448,149