Find the Flux of the Curl of Field F Through

question 30

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) \(- 96\)

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