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1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x = 4. 27 a) Approximate the area of R using a left Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the left Riemann sum. 23 19 15 b) Approximate the area of R using a right Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the right Riemann -31 sum. -27 19 15 -11 c) Approximate the area of R using a midpoint Riemann with n = 3 subintervals. Shade in the region whose area is given by the midpoint Riemann sum. 31 +27 -23 19 F15

1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x = 4. 27 a) Approximate the area of R using a left Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the left Riemann sum. 23 19 15 b) Approximate the area of R using a right Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the right Riemann -31 sum. -27 19 15 -11 c) Approximate the area of R using a midpoint Riemann with n = 3 subintervals. Shade in the region whose area is given by the midpoint Riemann sum. 31 +27 -23 19 F15

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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1. Let R be the region bounded by the graph of f (x) = 2x² – x + 2 and x-axis 31 between x = 1 and x = 4. 27 a) Approximate the area of R using a left Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the left Riemann sum. 23 -19 -15 11 - b) Approximate the area of R using a right Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the right Riemann +31 sum. 27 23 F19 +15 +11 c) Approximate the area of R using a midpoint Riemann with n = 3 subintervals. Shade in the region whose area is given by the midpoint Riemann sum. 31 27 19 15 F11 -
Transcribed Image Text:1. Let R be the region bounded by the graph of f (x) = 2x² – x + 2 and x-axis 31 between x = 1 and x = 4. 27 a) Approximate the area of R using a left Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the left Riemann sum. 23 -19 -15 11 - b) Approximate the area of R using a right Riemann sum with n = 3 subintervals. Shade in the region whose area is given by the right Riemann +31 sum. 27 23 F19 +15 +11 c) Approximate the area of R using a midpoint Riemann with n = 3 subintervals. Shade in the region whose area is given by the midpoint Riemann sum. 31 27 19 15 F11 -
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