Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle x y, y, 0angle, quad)

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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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Calculus

ISBN: 9781319055844

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle x y, y, 0angle, quad)

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We parametrize the surface S by Phitheta tt cos theta t sin theta t with the parameter domain mathca...View the full answer

Calculus

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