$(1$ point$)$ Let $F(x,y,z)=1z^2$

$(1$ point$)$ Let $F(x,y,z)=1z^{2}xi+(\frac{1}{3}{y}^3+tan(z))j+(1x^{2}z-2y^2)k.$ Use the Divergence Theorem to evaluate ${\displaystyle \underset{S}{\overset{\phantom{}}{}}}F*dS$ where $S$ is the top half of the sphere $x^2+y^2+z^2=1$ oriented upwards.

${}_{S}F*dS=+(\frac{1}{3}{y}^3+tan(z))j+(1x^{2}z-2y^2)k.$ Use the Dwergence Theorem to evaluate ${\displaystyle \underset{S}{\overset{\phantom{}}{}}}F*dS$ where $S$ is the lop hall of the sphere $x^2+y^2+z^2=1$ oriented upwards.

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