Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle y, z, xangle), plane (3 x-4 y+z=1), (0 leq x leq 1,0 leq

Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface.
\(\mathbf{F}=\langle y, z, xangle\), plane \(3 x-4 y+z=1\), \(0 \leq x \leq 1,0 \leq y \leq 1\), upward-pointing normal

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We rewrite the equation of the plane as z13 x4 y and parametrize the plane by Phix yx y 13 x4 y Here ... View full answer

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