1. (80 points) Demonstrate and Explain: Clearly and thoroughly explain your answers these questions based on the work you did with your group on labs this week. These questions refer to Lab 11: Soup Can Optimization. (a) (parts 2a-e): Write an equation for the surface area, A(r), of a can with volume 500 cm as a function of the radius r. Carefully show how you figured out this formula. (b) (parts 2e): Create an accurate, well-labeled graph that shows the the surface area as a function of the radius of the can. (c) (part 2f): Use the derivative function to find the values of r and h that create the can with the smallest surface area. Label this point on your graph. (d) (parts 2g): Describe the shape of the soup can with the minimum surface area. How did this compare to the cans you looked at in class