2) Consider the triangle with vertices (1, 1), (3, 4), and (-2, 3). (a) Draw this triangle. Find equations that describe the sides of the triangle. (b) Use calculus to find the area of this triangle. (c) Suppose we rotate the triangle around the line x = 5. Draw the resulting solid. (d) Slice this solid using cylindrical shells. Draw a representative shell on your picture from (c), and approximate its volume. (e) Set up a definite integral for the volume of the resulting solid. 5