Show that [ mathbf{F}(x, y, z)=leftlangle 2 y-1,3 z^{2}, 2 x yightangle ] has a vector potential

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Show that

\[
\mathbf{F}(x, y, z)=\left\langle 2 y-1,3 z^{2}, 2 x yightangle
\]

has a vector potential and find one.

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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