In this task, you will practice finding the area under a nonlinear function by using rectangles. You will use graphing skills in addition to the knowledge gathered in this unit. Sketch the graph of the function y=20x-x^2, and approximate the area under the curve in the interval (0,20) by dividing the area into the given number of rectangles. Part A: Use five rectangles to approximate the area under the curve
Part B: Use 10 rectangles to approximate the area under the curve
Part C: Calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to infinity)