The velocity field of a fluid (mathbf{v}) (in meters per second) has divergence (operatorname{div}(mathbf{v})(P)=3) at the point

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The velocity field of a fluid $\mathbf{v}$ (in meters per second) has divergence $\operatorname{div}(\mathbf{v})(P)=3$ at the point $P=$ $(2,2,2)$. Estimate the flow rate out of the sphere of radius 0.5 centered at $P$.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:00 AM

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The velocity field of a fluid (mathbf{v}) (in meters per second) has divergence (operatorname{div}(mathbf{v})(P)=3) at the point

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To estimate the flow rate out of the sphere we use Gausss Divergence Theorem which allows us to turn ...View the full answer

Calculus

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