Question: 3. (9 points) Consider the function /(x) = -(x - 1)? + 36 on the interval [1, 7]. (a) Calculate the right Riemann sum using

3. (9 points) Consider the function /(x) = -(x - 1)? + 36 on the interval [1, 7]. (a) Calculate the right Riemann sum using n = 3 subintervals of equal length to approximate / f(x) dz. b - 9 = 7- Ro = 2 f(x ). ox = 2 32 + 20 +0 7 5 f (x ) = 104 - (3 - 1) 2 +36 = 32 - (5 - 1) 2 +86 = 20 1- 17-1) 2 + 36 = 0 (b) Illustrate the right Riemann sum with rectangles on the graph below. 404 35 30 25 20 15 10 (c) Is the right Riemann sum that you got in part (a) an overestimate or underestimate of / f(x) dx. Over colimate up 1 = 1 A f(xi). DX is above the X- axis

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