Problem 1. (8 pts) Let F(x, y, z) = (2xy sin z, x2 sin z - e siny, xy cos z + e cosy). (1) (4 pts) Is F conservative? (2) (4 pts) Find the integral F . ds, Jc where C is the curve parametriza x(t) = 2cost, y(t) = sint, z(t) =t, 0