Compute the curl of the vector field $\vec{F} = \left<xy+z^{2},x^{2},xz-2\right>$.
$\mathrm{curl}(\vec{F}(x,y,z))$ =

What is the curl at the point $\left(0,-1,0\right)$?
$\mathrm{curl}(\vec{F}\left(0,-1,0\right))$ =

Is this vector field irrotational or not? Choose irrotational not irrotational cannot be determined