2 a and b only.

(2) Let M be the intersection of the surfaces given by y2 + z2 = 2 and x = 1 + zz,and let C be the portion of M in the region with z S 0 between the points (2, 1, 1) and (1, \\/Z O), (a) Find a parametrization for C, clearly indicating its domain What are the starting and ending points associated with your parametrization? (Suggestion: use polar coordinates to pammetrize y and 1.] (b) Find the work done by the force F(xyy'Z) = (1' -3z, 2) to move our particle along C from (1, x/Z 0) to (2, 1, l), (c) What was the sign of the answer you got in (b)? What is the physical interpretation for this sign? (d) Suppose C models a piece of wire with charge density given by MO\" in Z) = yz3 - I)? Find the total charge on this piece of wire. (e) The answer you obtained in (d) is negative Does that mean there is only negative charge in this piece of wire? Justify your