# Math Help - shift center half ball question mmn15 4b

1. ## shift center half ball question mmn15 4b

2. You can make the substitution $u=x, v=y, w=z-1$ and notice that this does not change the Jacobian. That leaves us with the unit sphere to work with: $u^2+v^2+w^2\leq 1$

To solve the integral you need to start integrating with respect to $\theta \in [0, \pi]$ once you switch to spherical coordinates.

3. ## Re: shift center half ball question mmn15 4b

how mathematickly calculate the yacobean
from u ,v ,w to spherecal coordinates

4. ## Re: shift center half ball question mmn15 4b

Originally Posted by transgalactic
how mathematickly calculate the yacobean
from u ,v ,w to spherecal coordinates
Look it up in your textbook or class notes (or go to a library and get an appropriate textbook if you don't have one).

5. ## Re: shift center half ball question mmn15 4b

i dont have it in my text bok
the actual transition