6. DETAILS SCALCET9 16.XP.9.008. 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) = xyi+ xy j + 3xyzk, S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and x + 5y + z = 58. DETAILS SCALCET9 16.XP.9.011. 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) = x#i - x zj + 4xy-zk, S is the surface of the solid bounded by the cylinder x2 + y