Estimate the area of the region bounded by the graph of f(x)=x² +7 and the x-axis on [0,2] in the following ways. a. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum. Illustrate the solution geometrically. c. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically. a. The left Riemann sum is. (Type an integer or decimal rounded to three decimal places as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Estimate the area of the region bounded by the graph of f(x)=x² +7 and the x-axis on [0,2] in the following ways.
a. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the
solution geometrically.
b. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum. Illustrate
the solution geometrically.
c. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the
solution geometrically.
a. The left Riemann sum is.
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Estimate the area of the region bounded by the graph of f(x)=x² +7 and the x-axis on [0,2] in the following ways. a. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum. Illustrate the solution geometrically. c. Divide [0,2] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically. a. The left Riemann sum is. (Type an integer or decimal rounded to three decimal places as needed.)
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