Apply Stokes' Theorem to evaluate (oint_{C} mathbf{F} cdot d mathbf{r}) by finding the flux of (operatorname{curl}(mathbf{F})) across

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Apply Stokes' Theorem to evaluate \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) by finding the flux of \(\operatorname{curl}(\mathbf{F})\) across an appropriate surface.

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\(\mathbf{F}=\langle 3 y,-2 x, 3 yangle, \quad C\) is the circle \(x^{2}+y^{2}=9, z=2\), oriented counterclockwise as viewed from above.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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