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Multivariable Calculus

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Find a Potential Function

MVCALC-XDCROL

Find a potential function for $\vec{F}(x,y) = \langle \sin y, x \cos y \rangle$.

A

$V(x,y) = x^2 \sin y$

B

$V(x,y) = x \sin y$

C

$V(x,y) = x + \sin y$

D

$V(x,y) = \frac{x^2 \sin y}{2} - \cos y$

E

The vector field does not have a potential function.