Show that (g(x, y)=-tan ^{-1} frac{x}{y}) is a potential function for the vortex field.

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Show that $g(x, y)=-\tan ^{-1} \frac{x}{y}$ is a potential function for the vortex field.

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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 08:03 AM

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Show that (g(x, y)=-tan ^{-1} frac{x}{y}) is a potential function for the vortex field.

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Computing the partials we have beginaligned fracpartial gpartial xfrac11x y2 cdot fracpa...View the full answer

Calculus

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