I am having some trouble with these questions thank you in advance for your help

Let F(x,y) =<3x2y4+exsin(y)eysin(x),4x3y3+excos(y)+eycos(x)>

a) Show that F is a conservative vector field

b. Find the potential function

c. Use the Fundamental Theorem of Line Integrals to findcFdr where C is any path from (2, ) to (4,0)

Suppose that C is a triangle with vertices (0, 0), (4, 0) and (2, 2) oriented counterclockwise. Using Green's Theorem, findc(x+y)dx+3xy dy