Let f (x) be a positive, differentiable function with f' (x) < 5 for every x in (1,3). Let R, and L, be the left and right endpoint approximations to the area under the curve y = f (x) on the interval [1,3]. Use the MVT on the interval [1,3] to find a bound |R, - Ln| < M for the smallest possible number M. What is the value of M? 3 5 20 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f (x) be a positive, differentiable function with f' (x) < 5 for every x in (1,3). Let R, and L„ be the left and right
endpoint approximations to the area under the curve y = f (x) on the interval [1,3].
Use the MVT on the interval [1, 3] to find a bound |R, – Lµ| < M for the smallest possible number M. What is the value
n
of M?
3
5
20
10
Transcribed Image Text:Let f (x) be a positive, differentiable function with f' (x) < 5 for every x in (1,3). Let R, and L„ be the left and right endpoint approximations to the area under the curve y = f (x) on the interval [1,3]. Use the MVT on the interval [1, 3] to find a bound |R, – Lµ| < M for the smallest possible number M. What is the value n of M? 3 5 20 10
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