Find the flux of F across S, F . N ds where N is the upward unit normal vector to S. F(x, y, z) = xi + yj + zk S: x2 + y~ + z2 = 9, first octant Need Help? Read It Watch It -/1 Points] DETAILS LARCALC12 15.6.032. Find the flux of F over the closed surface. (Let N be the outward unit normal vector of the surface.) F(x, y, z) = 12xyi + z j+ yzk S: unit cube bounded by x = 0, x = 1, y = 0, y = 1, z = 0, z =1