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6 a. (10 pts) Sketch the graph y = 12 for -1 S r S 1 twice. Let R denote the region bound by this

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6 a. (10 pts) Sketch the graph y = 12 for -1 S r S 1 twice. Let R denote the region bound by this graph and the interval [-1, 1) on the z-axis. Use your first sketch to illustrate how R is approximated when we use a midpoint Riemann sum with three subintervals. Use the second sketch to illustrate how R is approximated when we use the trapezoid rule sum with three subintervals. Label each graph with a detailed caption. 6 b. (10 pts) Compute the midpoint Riemann sum and trapezoid rule sum that you illustrated in 6 a. Let AM denote the value of the midpoint Riemann sum and Ar denote the value of the trapezoid rule sum. 6 c. (10 pts) Compute the exact area of region R. a. (5 pts) Sketch the region bound by the graphs y = 4x and y = tan(x) for 0

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