Riemann sums for a semicircle Let f 1x2 = 21 - x2. a. Show

Chapter 5, Problem 54

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Riemann sums for a semicircle Let f 1x2 = 21 - x2. a. Show that the graph of f is the upper half of a circle of radius 1 centered at the origin. b. Estimate the area between the graph of f and the x-axis on the interval 3-1, 14 using a midpoint Riemann sum with n = 25. c. Repeat part (b) using n = 75 rectangles. d. What happens to the midpoint Riemann sums on 3-1, 14 as nS _?

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