(b) (5 分) What is ds, where C is the arc of the helix x = cost, y = sint, z = t, which joins the points (1, 0, 0) and (-1, 0, π)?
(a) (5 分) Let be a force, calculate the work done in the displacement along the helix C: from A(2, 0, 0) to B(0, 2, 3π).
【試題 6】(20 分) Use Green's theorem to evaluate the line integral
where C is the boundary of the region defined by x = 0, y = 0, and x + y = 1.