Find the vector surface integral ${}_S(gradF)*dS$ for the vector field $F=($:$e^x,x-y^2,z^3$:$)$ where $S$ is the part of the ellipsoid $(\frac{x}{2}{)}^2+(\frac{y}{2}{)}^2+(\frac{z}{5}{)}^2=1$ where $z0$ with upward pointing normal.

A$.4(z-1)$

B$.4$

C$.(4e-1)$

D$.0$

E$.(1-2e)$