1. (12 pts total) (a) (8 pts) The vector field F(x, y) = (2xy], 3x2y?) is conservative. Find a potential function f(x, y) for F. (b) (4 pts) Use the Fundamental Theorem of Line Integrals, to evaluate So F . dr, where C is a curve from (1, 0) to (3, 1)