(a) Show that the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u, 0 < u < π, 0 < v < 2π, represent an ellipsoid.
(b) Use the parametric equations in part (a) to graph the ellipsoid for the case a = 1, b = 2, c = 3.
(c) Set up, but do not evaluate, a double integral for the surface area of the ellipsoid in part (b).