3. Consider the function f(x) = 4-2r. -4 3 (a) Sketch the region R under the graph of f on the interval [0,2], and find its exact area using geom- etry. 3 (b) Use a Riemann sum with two subintervals of equal length (n 2) to approximate the arca of R. Choose the representative points to be the left endpoints of the subin- (c) Use a Riemann sum with four subinter- vals of equal length (n 4) to appraximate the arca of R. Choose the representative points to be the left endpoints of the subin- tervals. %3D tervals. (d) Compare the approximntions obtained in parts (b) and (c) with the exact arca found in part (a). Do tlhe approximations improve with larger 2? 2. 2.

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