$51$ Points$$

Use Stokes$$Theorem to evaluate ${}_S$curlF$*dS$

$F(x,y,z)=x^{2}sin(z)i{y}^{2}jxyk,$

$S$ is the part of the paraboloid $z=4-x^2-y^2$ that lies above the $xy$plane$$oriented upward$$

$$

$41$

$4$

$$c$$

$18$

$$

$$

O

bithsti

C

$5$

$6$

$0$

c

$6$

$$

$$

Q

$9=$

$$

F$3$

F$4$

F$5$

Fto

F$2$

F$3$