Let f(x, y, z) = g (Vx2+ 2 + z2 ), where g is some nonnegative function of one variable such that g(2) = 1/4. Suppose Si is the surface parametriza R(0, () = 2 cos 0 sin o i + 2 sin 0 sin o j + 2 cos o k, where (0, b) E [0, 27] x [0, 7]. a. Find Ro X Ro , for all (0, 4) E [0, 27] x [0, 7]. b. If the density at each point (x, y, z) E S, is given by f(x, y, z), use a surface integral to compute for the mass of S1