(9 points) Compute the flux of the vector field F = 6x2y zk through the surface S which is the cone vx2 + y = z, with 0 _ z _ R, oriented downward. (a) Parameterize the cone using cylindrical coordinates (write 0 as theta). x(r, 0) = rcostheta y(r, 0) = rsintheta z(r, 0) = theta with 0 Ers R 888 and 0 50 2pi (b) With this parameterization, what is dA? dA = (c) Find the flux of F through S. flux = 3/4R^2pi