Evaluate the surface integral ${\displaystyle \underset{S}{\overset{\phantom{}}{}}}F*dS$ where $F=($:$-5x,-5z,5y$:$)$ and $S$ is the part of the sphere $x^2+y^2+z^2=4$ in the first octant, with orientation toward the origin.

${}_{S}F*dS=$