A continuously-increasing function that is concave down on the interval [1, 5] is r X 1 2.2 3.1 4.4 5 f(x) 0 0.788 1.131 1.482 1.609 Part A: Find the right Reimann sum estimate of f(x)dx, based on the subinter

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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A continuously-increasing function that is concave down on the interval [1, 5] is represented by the table.
X 1 2.2 3.1 4.4
5
f(x) 0 0.788 1.131 1.482 1.609
Part A: Find the right Reimann sum estimate of f, f(x)dx, based on the subintervals given in the table.
Part B: Write the midpoint Reimann sum that estimates f(x)dx, based on the subintervals given in the table.
Part C: Determine whether the right Reimann sum estimate is an overestimate or an underestimate, based on the properties of the function.
Transcribed Image Text:A continuously-increasing function that is concave down on the interval [1, 5] is represented by the table. X 1 2.2 3.1 4.4 5 f(x) 0 0.788 1.131 1.482 1.609 Part A: Find the right Reimann sum estimate of f, f(x)dx, based on the subintervals given in the table. Part B: Write the midpoint Reimann sum that estimates f(x)dx, based on the subintervals given in the table. Part C: Determine whether the right Reimann sum estimate is an overestimate or an underestimate, based on the properties of the function.
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