Find the Flux of the Curl of Field F Through

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf{F}=\mathrm{e}^{\mathrm{x}} \mathbf{i}+\mathrm{e}^{\mathrm{y}} \mathbf{j}+6 \mathrm{xy} \mathbf{k} ; \mathrm{S} \text { is the portion of the paraboloid } 2-\mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{z} \text { that lies above the } x y-\text { plane }$

A) 96
B) 0
C) $- 96 \pi$
D) $- 96$