$($Sections $16\mathrm{.}4,19\mathrm{.}2$

Use Stokes's theorem to evaluate $o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}{E}_{*}d{r}_{?}$ where

$F_{x\text{;}y,z}=(2y(x-z),x^2+z^2,y^3)$

and $C$ is the positively oriented boundary of the part of the plane $2x+3y+4z=12$ in the positive octant $($i$.$e$.x0,y0-$and $z0).$

$[$Hint: sketch $C$ and the surface $S$ of which it is a boundary$-$ then apply Stokes and evaluate the surface integral$].$

$[10]$