A graphing calculator is recommended. Use a graphing calculator Riemann Sum (found here) to find the following Riemann sums. f(x) 2x from a = 1 to b=2 (a) Calculate the Riemann sum for the function for the following values of n: 10, 100, and 1,000. Use left, right, and midpoint rectangles, making a table of the answers, rounded to three decimal places. n 10 100 1,000 Left Midpoint Right (b) Find the exact value of the area under the curve by evaluating an appropriate definite integral using the Fundamental Theorem. The values of the Riemann sums from part (a) should approach this number. (Round your answer to three decimal places.) square units

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