$($D$4)[8$ pts$]$ Use the Divergence Theorem to calculate the surface integral ${}_{S}F*dS,$ where $F(x,y,z)=($:$x^{2}y,x{y}^2,2xyz$:$)$ and $S$ is the surface of the solid bounded by the planes $x=0,y=0,z=0,$ and $x+2y+z=2.$