Let be the intersection of the surfaces given by²+²=2 and=1+², and let C be the portion of M in the region with0 between the points(2,1,1) and(1, 2, 0).

a)Find a parametrization for , clearly indicating its domain.What are the starting and ending points associated with your parametrization? Use polar coordinates to parametrize y and z.

b) Find the work done by the force (,,)=(1, 3, ) to move our particle along from(1, 2, 0)to(2,1,1).

c) What was the sign of the answer you got in (b)? What is the physical interpretation for this sign?

d) Suppose models a piece of wire with charge density given by (,,)=³-³. Find the total charge on this piece of wire. The answer should be negative. Does that mean there is only negative charge in this piece of wire? Justify your answer.