# CAl 3

1. Nov 3, 2009

### Jbright1406

1. The problem statement, all variables and given/known data
Let f(x,y,z) be a continuous function. To rewrite f(x,y,z) as a function of spherical coordinates, the conversion x-rcos($$\theta$$), y=rsin($$\theta$$), and z=rcos($$\varphi$$). Suppose S is a region in 3 dimensions. How would you rewrite $$_{\int\int\int}s$$ f(x,y,z)dV as the integral of a function in terms or r,$$\theta$$, and$$\varphi$$

Note the s by the integral should be a subscript

2. Relevant equations
Hint, may require a change of variable formula

3. The attempt at a solution

I attempted to plug in the conversion of x, y, and z, but i dont think this is what is needed. I believe it is more of a conceptual question. What should i do?, im comfortable with the integration or deriving of the stuff, but am not sure what he is actually is asking. This isnt a homework problem to turn in, but something we were supposed to look at.

2. Nov 3, 2009

### rock.freak667

Do you know of a function called the Jacobian function? Because you will need this to find out what dV changes to.

Also I think x=rcosθsinψ y=rsinθsinψ z=rcosψ

3. Nov 3, 2009

### Jbright1406

no, ive never seen jacobian's. I know the name and have heard them mentioned, but have never seen them

It says home work, buts it on the bottom of a test review, its not something to turn in, i can post the entire test review if you dont believe me, where it says it at the top of the page

here is a copy of the problem in case i typed it wrong