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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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3. Consider the function f(x) 4-2r. (a) Sketch the region R under the graph of on the interval [0,2], and find its exact area using geom- etry. 2 1. (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- tervals. (c) Use a Riemann sum with four subinter- vals of equal length (n 4) to approximate the arca of R. Choose the representative points to be the left endpoints of the subin- tervals. (d) Compare the approximntions obtained in parts (b) and (ei with the exact arca found in part (a). Do tlhe approximations improve witih larget ?
Transcribed Image Text:3. Consider the function f(x) 4-2r. (a) Sketch the region R under the graph of on the interval [0,2], and find its exact area using geom- etry. 2 1. (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- tervals. (c) Use a Riemann sum with four subinter- vals of equal length (n 4) to approximate the arca of R. Choose the representative points to be the left endpoints of the subin- tervals. (d) Compare the approximntions obtained in parts (b) and (ei with the exact arca found in part (a). Do tlhe approximations improve witih larget ?
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