Let vec$(F)=3$yvec$(i)+4$xvec$(j),=2x^3+3xy,$ and $h=y-3x^2.$

$(a)$ Find each $of$ the following:

vec$(F)-$grad$=$

gradh$=$

How are vec$(F)-$grad$$ and gradh related?

vec$(F)-$grad$=,$gradhvec$(F)-$grad$is$ parallel $to$ gradh.$$ and the Fundamental Theorem $of$ Calculus for Line Integrals $to$ evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r),$ where $Cis$ the oriented path $on$ a contour $ofh$ from $P(0,4)toQ(6,112).$

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=$