APPLICATION

$OF$ THE DIVERGENCE THEOREM

Evaluate the surface integral ${}_{S}F*ndAby$ the divergence

theorem. Show the details.

$F=[x^2,0,z^2],S$ the surface $of$ the box $|x|1,$

$|y|3,0z2$

Solve Prob. $9by$ direct integration.

$F=[e^x,e^y,e^z],S$ the surface $of$ the cube $|x|1,$

$|y|1,|z|1$

$F=[x^3-y^3,y^3-z^3,z^3-x^3],S$ the surface $of$

$x^2+y^2+z^{2}25,z0$

$F=[siny,cosx,cosz],S,$ the surface $of$

$x^2+y^{2}4,|z|2(a$ cylinder and two disks!$)$

$Fasin$ Prob. $13,S$ the surface $of{x}^2+y^{2}9,$

$0z2$ question $12$ please solve $it$