$(6\mathrm{.}1)$ Find the curl $of$ the following vector field

$F(x,y,z)=\sqrt[\phantom{2}]{y^4}{z}^{3}i+\sqrt[\phantom{2}]{4x^2{y}^2}{z}^{3}j+\sqrt[\phantom{2}]{9x^2{y}^4{z}^4}k$

$(6\mathrm{.}2)IfFis$ conservative, find a scalar function $f$ such that $F=$gradf.

$(6\mathrm{.}3)$ Let $r=+yj+zk$ and $r=|r|.IfF=\frac{r}{r^p}.$ Find divF.