$6\mathrm{.}8$: Problem $3$

$1$ point$)$

Use Stoke's Theorem to evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}F*dr$ where $F(x,y,z)=+yj+1(x^2+y^2)k$ and $C$ is the boundary of the part of the paraboloid where $z=49-x^2-y^2$ which lies above the xy$-$plane and $C$ is oriented counterclockwise when viewed from above.