- #1
Tater
- 10
- 0
Homework Statement
The outermost integral is:
-2 to 2, dx
The middle integral is:
-sqrt(4-x^2) to sqrt(4-x^2), dy
The inner most integral is:
x^+y^2 to 4, dz
The attempt at a solution
Drawing the dydx in a simple 2d (xy) plane, it is circular with a radius of 2. So this means that the period(theta) will go from 0 to 2pi. Drawing in 3d (xyz) yields a hemisphere/paraboloid. Now this is where I'm stuck. I don't know what to do after this or how to really tackle this problem. Do I want to attempt to draw a 'slice' of it in the spherical outline with the variables phi, rho, theta? Do I have to look at it a certain way (2d or 3d)? I just don't see what I can do!
Any help or guidance is greatly appreciated!
The outermost integral is:
-2 to 2, dx
The middle integral is:
-sqrt(4-x^2) to sqrt(4-x^2), dy
The inner most integral is:
x^+y^2 to 4, dz
The attempt at a solution
Drawing the dydx in a simple 2d (xy) plane, it is circular with a radius of 2. So this means that the period(theta) will go from 0 to 2pi. Drawing in 3d (xyz) yields a hemisphere/paraboloid. Now this is where I'm stuck. I don't know what to do after this or how to really tackle this problem. Do I want to attempt to draw a 'slice' of it in the spherical outline with the variables phi, rho, theta? Do I have to look at it a certain way (2d or 3d)? I just don't see what I can do!
Any help or guidance is greatly appreciated!