(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the surface integral:

g = xyz on x^2+y^2+z^2 = 1 above z^2=x^2+y^2.

2. Relevant equations

3. The attempt at a solution

I'm only doubtful about the parameterization. Under normal circumstances, since x^2+y^2+z^2 = 1 is a sphere, we can write:

r = (SinCos[v])i + (SinSin[v])j + (Cos)k.

However, how do you account for the "above z^2=x^2+y^2."

Do I simply sum the square of the x and y components and write:

r = (SinCos[v])i + (SinSin[v])j + (Sin^2)k.

Is this correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Surface Integrals

**Physics Forums | Science Articles, Homework Help, Discussion**