Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle z, z, xangle, quad z=9-x^{2}-y^{2},

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

$\mathbf{F}=\langle z, z, xangle, \quad z=9-x^{2}-y^{2}, x \geq 0, y \geq 0, z \geq 0, \quad$ upward-pointing normal

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 24, 2024 08:01 AM

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Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle z, z, xangle, quad z=9-x^{2}-y^{2},

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Step 1 Find a parametrization We use x and y as parameters and parametrize the surface by Phix yleftx y 9x2y2ight x geq 0 y geq 0 z geq 0 The paramete...View the full answer

Calculus

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