Problem #$2$:

Use Stokes' Theorem $($in reverse$)$ to evaluate ${}_S(curlF)*ndS$ where

$F=5$yzi$+3xj+7yz{e}^{x^2}k,S$ is the portion of the paraboloid $z=\frac{1}{81}{x}^2+\frac{1}{64}{y}^2$ for $0z5,$ and the unit

normal on $S$ points away from the $z-$axis.

Submit Problem #$2$ for Grading