10. With steps to solve part A and B

10. (a) [10] Find a potential function for the vector field F(x, y) = (2xy + 24, x2 + 16) ; that is, find f (x, y) such that F = Vf. You may assume that the vector field F is conservative. (b) [5] Use part (a) and the Fundamental Theorem of Line Integrals to evaluate J F . dr where C consists of the line segment from (1, 1) to (-1, 2), followed by the line segment from (-1, 2) to (0, 4), and followed by the line segment from (0, 4) to (2, 3)