Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=leftlangle x z, y z, z^{-1}ightangle, quad) disk of radius 3 at height 4

Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface.

\(\mathbf{F}=\left\langle x z, y z, z^{-1}ightangle, \quad\) disk of radius 3 at height 4 parallel to the \(x y\)-plane, upward-pointing normal

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