LarCalc$1215\mathrm{.}2\mathrm{.}031.$EP$.$

Consider the following vector function F on curve C$.$

F$($x$,$ y$)=$ x$2$i $+2$yj

C: r$($t$)=$ eti $+$ t$2$j$,0$ t $2$

Find the following.

F$($x$($t$),$ y$($t$))=$

r$($t$)=$

F$($x$($t$),$ y$($t$)$ r$($t$))=$

Evaluate

$$C

$$F $$ dr$.$