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 − x2, and approximate the area under the curve in the interval [0, 20] by dividing the area into the given numbers of rectangles.
1.use five rectangles to approximate the area under the curve.
2.use 10 rectangles to approximate the area under the curve.
3.calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to infinity). you do not need to sketch the rectangles.