Chapter 16.6, Problem 59E

(a)

To determine

To show: 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)

To determine

To draw: The graph of an ellipsoid with the parametric equations $x=a\sin u\cos v,y=b\sin u\sin v,z=c\cos u,0\le u\le \pi ,0\le v\le 2\pi$ for $a=1,b=2$, and $c=3$.

(c)

To determine

To find: The expression for surface area of the ellipsoid with the parametric equations $x=a\sin u\cos v,y=b\sin u\sin v,z=c\cos u,0\le u\le \pi ,0\le v\le 2\pi$ for $a=1,b=2$, and $c=3$.