I.
Let $\mathbf{F} = 8 x \mathbf{i} + 10 y \mathbf{j} + 6 z \mathbf{k}$. Compute the divergence and the curl.

A. div $\mathbf{F} =$

B. curl $\mathbf{F} =$ $\mathbf{i} +$ $\mathbf{j} +$ $\mathbf{k}$

II.
Let $\mathbf{F} = (3 xy, 7 y, 3 z)$.
The curl of $\mathbf{F} = ($ ,, $)$.
Is there a function $f$ such that $\mathbf{F} = \nabla f$? (yes/no)