Given a vector field vec$(F)(x,y,z)=x{y}^2{z}^2$vec$(i)+x^{2}y{z}^2$vec$(j)+x^2{y}^2$zvec$(k).$

i$)$ Determine whether vec$(F)(x,y,z)$ is a conservative vector field.

ii$)$ Find the potential function, $f$ such that vec$(F)=$gradf.

$(9$ marks$)$PLEASE ANSWER BELOW QUESTION IN THIS PAPER THAT ATTACH