2. Let Ci and C2 be two piece-wise linear curves connecting points p1 = (-1,0), p2 = (1, 1), p3 = (1, -1), pa = (2, 0) in the numerical order, Ci = {p - p p3 -p}, and C2 = {p -+ p2 = p3 - po - pi} (a) Find the total work done by the force field F= (sinn(x - y), cos "(x + y)) in moving a particle along C, and C2. [6] (b) Can one apply Green's theorem to find the work for either of the curves? Justify your answer. [4]