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Multivariable Calculus

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Moderate

Divergence Calculation II

MVCALC-EERSMX

Find the divergence of the vector field:

$$\vec{F}=\langle x^{xy}, y\arctan x, e^y \sin z\rangle$$

A

$yx^{xy} + \arctan x + e^y \cos z$

B

$yx^{xy}(\ln x + 1) + \arctan x + e^y \cos z$

C

$x^{xy+1}+\frac{1}{1+x^2}+e^y$

D

$xy+\frac{y}{1+x^2}+e^y\cos z$

E

None of the above