Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle x, y, zangle, quad) part
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Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface.
\(\mathbf{F}=\langle x, y, zangle, \quad\) part of sphere \(x^{2}+y^{2}+z^{2}=1\), where \(\frac{1}{2} \leq z \leq \frac{\sqrt{3}}{2}, \quad\) inward-pointing normal
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