Im trying to convert to spherical polars but can't work out what the limits should be. Answer should be 5pi/24
TeeEm
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Gome44
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- 04-02-2016 22:45
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- 04-02-2016 22:47
(Original post by Gome44)
Im trying to convert to spherical polars but can't work out what the limits should be. Answer should be 5pi/24
TeeEm -
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- 04-02-2016 22:49
(Original post by TeeEm)
you need to work out the shape first -
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- 04-02-2016 22:51
(Original post by Gome44)
Ah should probably have mentioned its the region bounded by: x^2 + y^2 <1, 0<x<y, -1<z<1
I have to picture it -
Gome44
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- 04-02-2016 22:54
(Original post by TeeEm)
I can see this from the limits ... Some double cone inside a cylinder between -1 and 1
I have to picture it
I thought it was just 1/8 of a cylinder (unless I've got this horribly wrong) -
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- 04-02-2016 22:58
(Original post by Gome44)
double cone say wut?
I thought it was just 1/8 of a cylinder (unless I've got this horribly wrong)
the integration (volume) region is the space between the double cone and the cylinder (so symmetry)
Is it spherical or cylindrical polars? -
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- 04-02-2016 23:04
(Original post by Gome44)
double cone say wut?
I thought it was just 1/8 of a cylinder (unless I've got this horribly wrong)
Plane inside the cylinder
correct 1/8 slice insideLast edited by TeeEm; 04-02-2016 at 23:06. -
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- 04-02-2016 23:12
(Original post by Gome44)
Im trying to convert to spherical polars but can't work out what the limits should be. Answer should be 5pi/24
TeeEm -
Gome44
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- 04-02-2016 23:14
(Original post by TeeEm)
I got the right answer but with cylindrical polars
Thanks for your help -
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- 04-02-2016 23:17
(Original post by Gome44)
yep i have just done it with cylindrical polars (hence the delayed response). Fairly idiotic on my part, the clue is in the name of the coordinate system...
Thanks for your help
in cylindrical, it is fairly pathetic.
I will write tomorrow a beast (cone inside a cylinder), then I will try cone in a hemisphere -
Gome44
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- 04-02-2016 23:18
(Original post by TeeEm)
no worries ...
in cylindrical, it is fairly pathetic.
I will write tomorrow a beast (cone inside a cylinder), then I will try cone in a hemisphere -
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- 04-02-2016 23:20
(Original post by Gome44)
I look forward to it
(not here but in my site where they get constantly updated) -
Gome44
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- 04-02-2016 23:33
(Original post by TeeEm)
You know my resources for undergrads I hope.
(not here but in my site where they get constantly updated) -
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- 04-02-2016 23:35
I hope you are enjoying Maths and Oxford.
All the best! -
Gome44
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- 04-02-2016 23:37
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- 04-02-2016 23:40
(Original post by Gome44)
Analysis suuuuuuccccckkkkkkkssssssss, the rest is bae though. Oxford is quality, lots of wine has been consumed
Analysis was bad for me too, but algebra was even worse...
You get used to it. The first year is always a shock -
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- 05-02-2016 00:02
(Original post by TeeEm)
excellent stuff!!
Analysis was bad for me too, but algebra was even worse...
You get used to it. The first year is always a shock -
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- 05-02-2016 00:03
(Original post by Gome44)
Can't wait until second year so I can drop all the pure stuff and live off applied. I quite enjoy linear algebra (hated it at first though), doing groups in two weeks so hopefully it shouldn't be too bad
I hated them with a passion !!! -
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- 05-02-2016 00:44
(Original post by Gome44)
Im trying to convert to spherical polars but can't work out what the limits should be. Answer should be 5pi/24
TeeEm
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- 06-02-2016 22:11
(Original post by Gome44)
I look forward to it
I hope you do them (free proof reading needed) before I add them in to my examplebook.
all the best
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