2.1 a) Given the vector field F = (xy + ex)i+ + y) j, find a potential function f such that F = Vf. (You may assume that the vector field is conservative.) b) Use the Fundamental Theorem of Line Integrals to evaluate J. F . dr where C is the straight line segment from the point (0, -3) to the point (3, 0), followed by the straight line segment from the point (3,0) to the point (0,3), followed by the arc of the circle x2 + yz = 9, traversed from the point (0,3) to the point (-3,0)