Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle 0,3, xangle), part of sphere (x^{2}+y^{2}+z^{2}=9), where (x geq 0, y geq 0,

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

\(\mathbf{F}=\langle 0,3, xangle\), part of sphere \(x^{2}+y^{2}+z^{2}=9\), where \(x \geq 0, y \geq 0, z \geq 0\), outward-pointing normal

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