The vector Calculus question is complete

(4) Let Mbe the intersection of 3,2 + z2 = 23nd a: = 1 + Z2, and let C be the portion of M in the region with z 3 0 between the points (2, 1, 1) and (17 , 0). (a) Find a parametrization for 0, clearly indicating its domain. What are the starting and ending points associated with your parametrization? Suggestion: use polar coordinates to parametrize y and 2.] (b) Show that the work done by the force F(Eiy?z) = (1' 32, z) to move our particle along 0 from (1, '/J 0) to (2, 1, 1) is W = 37r/4. (c) Suppose 0 models a piece of wire with charge density given by u(:z:,y,z) = 3\\/(ysz _ yZ3). Show that the total charge on this piece of wire is Q=3\\/1