Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle x y, y, 0angle, quad) cone (z^{2}=x^{2}+y^{2}, x^{2}+y^{2} leq 4, z geq 0,

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

\(\mathbf{F}=\langle x y, y, 0angle, \quad\) cone \(z^{2}=x^{2}+y^{2}, x^{2}+y^{2} \leq 4, z \geq 0, \quad\) downward-pointing normal

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