Answer all steps

Unit 8 Assignment 2. Let R and S in the figure above be defined as follows: R is the region in the first and second quadrants bounded by the graphs of y = 3 - x and y = 2*. S is the shaded region in the first quadrant bounded by the two graphs, the x-axis, and the y-axis. (a) Find the area of S. Please respond on separate paper, following directions from your teacher. (b) Find the volume of the solid generated when R is rotated about the horizontal line y = -1. Please respond on separate paper, following directions from your teacher. (c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with one leg across the base of the solid. Write, but do not evaluate, an integral expression that gives the volume of the solid. Please respond on separate paper, following directions from your teacher