Question $2$

$6$ points

How Did I $Do?$

Use Stokes' theorem $to$ evaluate ${}_S$curlF$*dS$ where $F(x,y,z)=x^{2}zi+e^{xy}cos(z)j+xyk$ and

$Sis$ the half sphere $y=\sqrt[\phantom{2}]{36-x^2-z^2},$ oriented out toward the positive $y-$axis.

${}_S$curlF$*dS=$