1. Consider the algebraic sigmoid function y = - 2r Vitr (a) Sketch this sigmoid function as well as the line y = -I for reference. (b) Write a set of inequalities to describe the area between the line and the sigmoid for r >0. (c) The same sigmoid shape, now in the yz-plane (i.e. = = Vity ) , is used as the generating curve for a right cylinder. Sketch this cylinder by hand