?

Multivariable Calculus

Free Version

Upgrade subject to access all content

Easy

Vector Analysis: Vector Field ze^(xy)-yz

MVCALC-U1HCGD

What is the vector field whose potential function is $V(x,y,z) = ze^{xy} - yz$?

A

$\vec{F}(x,y,z) = \langle yze^{xy}, xze^{xy}-z, e^{xy}-y \rangle$

B

$\vec{F}(x,y,z) = \langle ze^{xy}, ze^{xy}, e^{xy}-y \rangle$

C

$\vec{F}(x,y,z) = \left\langle \frac{ze^{xy}}{y} - xyz, \frac{ze^{xy}}{x} - \frac{y^2z}{2}, \frac{z^2e^{xy}}{2}-\frac{yz^2}{2} \right\rangle$

D

$\vec{F}(x,y) = \langle yze^{xy}, xze^{xy} \rangle$

E

None of the Above