Question $3.$ Let F$($x$,$y$)=5$y$2($xy$21)4$i $10$xy$($xy$21)4$j$.($a$)$ Find a potential function for F$.[$You may take a guess, but you will only receive fullcredit if you verify your solution$].($b$)$ Use the Fundamental Theorem of Line Integrals to evaluate the line integralF$$dr$,$Cwhere C is the curve given by r$($t$)=$ t $1,$t$,0$ t$1.$