please help

Math 240 Worksheet Chapter 16 1. Let C be the line segment from the point (0, 0, 0) to the point (1, 3, -2). Find Jo (x + ) - 2z) ds. 2. A particle moves upward along the circular helix given by r(t) = (cost)i + (sint)j + tk for 0 St s.2n under a force given by F(x, y,z) = (-zy )i + (zx)j+ (xy)k. Find the work done on the particle by the force. 3. Use Green's Theorem to calculate [F . dr where F(x, y) = (-16y + sinx?)i +(4e) +3x?) j and C is the simply connected region oriented counterclockwise bounded by x = 0, y = 0, and x + y =1. 4. Use the Divergence Theorem to set up the integral you would use to calculate IsJ F . N ds where F(x,y,z) = x ity j +z'k and S is the surface bounded by the xy- plane and the top hemisphere of x + y + z = 4 5. Use Stoke's Theorem to calculate | F . dr where F(x, y,z) = -3yi + 4zj + 6xk and C is the triangle from (0, 0, 0) to (2, 0, 0) to ((0, 2, 1) to (0, 0, 0) which lies in the plane z = y/2