Find the work done in moving a particle in the force field F = 3x2 i + (2xz - y)j + zk along
(a) The curve defined by x2 = 4y, 3x3 = 8z from x = 0 to x = 2;
(b) The straight line from (0, 0, 0) to (2, 1, 3).
(c) Does this mean that F is a conservative force? Give reasons for your answer.