Jbright1406
Nov3-09, 08:39 PM
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
[b]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.
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
[b]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.