(2) (2 points) (a) Let f(x, y) = xy' - re"+ r'. Find a function g(r, y) such that the vector field F(x, y) = (f(x. y), g(x, y)) is conservative. (b) Let C be the piece of the curve y = va from (0,0) to (4,2), followed by the straight segment down to (4,0), and then a straight segment back to (0, 0). Compute fo f(r, y) dr by arguing ( via the FTLI) that it is the same as - fog(r, y) dy and computing the latter