x Turn on thread page Beta
 You are Here: Home >< Maths

Integration watch

1. Im trying to convert to spherical polars but can't work out what the limits should be. Answer should be 5pi/24

TeeEm
2. (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
you need to work out the shape first
3. (Original post by TeeEm)
you need to work out the shape first
Ah should probably have mentioned its the region bounded by: x^2 + y^2 <1, 0<x<y, -1<z<1
4. (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 can see this from the limits ... Some double cone inside a cylinder between -1 and 1

I have to picture it
5. (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
double cone say wut?

I thought it was just 1/8 of a cylinder (unless I've got this horribly wrong)
6. (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)
I see a double cone inside a cylinder of radius 1 and we are between z = -1 amd z =1, so the cone touches the cylinder at that height.

the integration (volume) region is the space between the double cone and the cylinder (so symmetry)

Is it spherical or cylindrical polars?
7. (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)
sorry no cone
Plane inside the cylinder
correct 1/8 slice inside
8. (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
I got the right answer but with cylindrical polars
9. (Original post by TeeEm)
I got the right answer but with cylindrical polars
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...

10. (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...

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
11. (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
I look forward to it
12. (Original post by Gome44)
I look forward to it
You know my resources for undergrads I hope.
(not here but in my site where they get constantly updated)
13. (Original post by TeeEm)
You know my resources for undergrads I hope.
(not here but in my site where they get constantly updated)
Yep of course I know it, i have already used your fourier series one
14. (Original post by Gome44)
Yep of course I know it, i have already used your fourier series one
very good

I hope you are enjoying Maths and Oxford.

All the best!
15. (Original post by TeeEm)
very good

I hope you are enjoying Maths and Oxford.

All the best!
Analysis suuuuuuccccckkkkkkkssssssss, the rest is bae though. Oxford is quality, lots of wine has been consumed
16. (Original post by Gome44)
Analysis suuuuuuccccckkkkkkkssssssss, the rest is bae though. Oxford is quality, lots of wine has been consumed
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
17. (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
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
18. (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 hope you like them ...
I hated them with a passion !!!
19. (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
Crazy ****

Posted from TSR Mobile
20. (Original post by Gome44)
I look forward to it
Here they are ... Freshly baked this evening ... they are not hard,
I hope you do them (free proof reading needed) before I add them in to my examplebook.

all the best
Attached Images
21. Question 1.pdf (235.1 KB, 63 views)
22. Question 2.pdf (118.1 KB, 54 views)

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: February 7, 2016
Today on TSR

Loughborough better than Cambridge

Loughborough at number one

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants