3. DETAILS SCALCET9 16.XP.8.006. MY NOTES ASK YOUR TEACHER Use Stokes' theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 3xzj + e*yk, C is the circle x2 + y2 = 9, z = 8. 4. DETAILS SCALCET9 16.XP.9.003. MY NOTES ASK YOUR TEACHER Use the divergence theorem to calculate the surface integral F . dS; that is, calculate the flux of F across S. F(x, y, z) = ex sin(y) i + ex cos(y) j + yz2k, S is the surface of the box bounded by the planes x = 0, x = 4, y = 0, y = 2, z = 0, and z = 3