6. Suppose the field G(x, y, z) is defined to be G(x, y, z) = curl F(x, y, z) where F(x, y, z) = (y + Vz)i + exyzj + cos (xz)k. Determine the flux of G outward through the upper hemisphere x2 ty +z? = 1, z 2 0 (Hint: sketch the surface first)