7. Sketch the cylindrical surface r = (1/2) + cos(q ),0 £ q £ 2 p ,

0 £ z £ 1.

Solution: begin with the polar graph of r = (1/2) + cos(q ) in the x-y plane:

Then, to incorporate the 0 £ z £ 1 condition, add the perpendiculars to the curve: