Question: (8 points) Use Stoke's Theorem to evaluate $int_{C} mathbf{F} cdot d mathbf{r}$ where $mathbf{F} (x, y, z)=x mathbf{i}+y mathbf{j}+5left(x^{2}+y^{2} ight) mathbf{k}$ and $C$ is the

(8 points) Use Stoke's Theorem to evaluate $\int_{C} \mathbf{F} \cdot d \mathbf{r}$ where $\mathbf{F} (x, y, z)=x \mathbf{i}+y \mathbf{j}+5\left(x^{2}+y^{2} ight) \mathbf{k}$ and $C$ is the boundary of the part of the paraboloid where $z=36-x^{2}-y^{2}$ which lies above the xyplane and $C$ is oriented counterclockwise when viewed from above. CS.VS. 1645
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