?

Multivariable Calculus

Free Version

Upgrade subject to access all content

Easy

Find the Curl of the Vector Field

MVCALC-XEBWOE

Find the curl of the vector field $\vec{F}(x,y,z) = \langle 3y^2\cos z, x^2 \sin z, ye^x \rangle$.

A

$\langle x^2 sin z - e^x , ye^x - 3y^2 cos z, 6y sin z + 2x cos z \rangle$

B

$\langle e^x - x^2\cos z , -ye^x - 3y^2\sin z, 2x\sin z - 6y\cos z \rangle$

C

$\langle x^2\cos z - e^x , -ye^x - 3y^2\sin z, 6y\cos z - 2x\sin z \rangle$

D

$\langle x^2\cos z - e^x , ye^x + 3y^2\sin z, 6y\cos z - 2x\sin z \rangle$

E

None of the Above