1. The problem statement, all variables and given/known data Determine the curl on teh surface of the bounded region consisting of the bottom part of the sphere with equation 625=z^2+x^2+y^2 where z<=20, in the force field F(x,y,z)=<x^2 * y,x*y^2 * z,2x> 2. Relevant equations 3. The attempt at a solution I used Stokes' theorem to change the double integral for curl into a single circulation circle around the top of the bottom section of the sphere: 625=z^2+x^2+y^2; z=20; 225=r^2 Let x=15cos t; y=15sin t; z=20 (I'm still writing x,y, and z instead of their substituted values in the following integral though): integral (<x^2*y,xy^2z,2z> dot <-15sin(t),15cos(t)>) dt from t=0 to t=2pi ("dot" represents a dot product). Is this right?