Chapter 16.6, Problem 59E

(a) Show that the parametric equations $x=a\sin u\cos v,y=b\sin u\sin v,z=c\cos u,0\le u\le \pi ,0\le v\le 2\pi$, 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).