Explanation In order to say the curve of the function over the interval [ 1 , 5 ] is over or underestimate, take the help of graph shown below Figure 1. From the figure 1, clear that the curve f ( x ) = 0.25 x 2 + 1 is decreasing function. Since f ( x ) = 0.25 x 2 + 1 is decreasing function, then f ′ ( x ) < 0

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Question

Chapter 5.4, Problem 1ED

To determine

To explain: Whether the left sum L4 of a function f(x) is over or underestimate over the interval [1,5].

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Chapter 5.4, Problem 4MP

Chapter 5.4, Problem 2ED

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Chapter 5 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 5.1 - Matched Problem 1 Note that ddx(x3)=3x2 A. Find...Ch. 5.1 - Find each indefinite integral: (A) 2dx (B) 16etdt...Ch. 5.1 - Matched Problem 3 Find each indefinite integral:...Ch. 5.1 - Matched Problem 4 Find the equation of the curve...Ch. 5.1 - Matched Problem 5 Find the revenue function R(x)...Ch. 5.1 - Matched Problem 6 There are currently 64,000...Ch. 5.1 - Explore and Discuss 1 Formulas 1, 2, and 3 do not...Ch. 5.1 - In Problems 18, write each function as a sum of...Ch. 5.1 - In Problems 18, write each function as a sum of...Ch. 5.1 - In Problems 18, write each function as a sum of...

Knowledge Booster

Whether the left sum L 4 of a function f ( x ) is over or underestimate over the interval [ 1 , 5 ] .

Solution Summary: The author analyzes how the left sum L_4 of a function is overestimate the area over the interval

To explain: Whether the left sum L4 of a function f(x) is over or underestimate over the interval [1,5].

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Chapter 5 Solutions