Explanation Given: The function is given as: f ( m h ) h ≤ ∫ x x + h f ( t ) d t ≤ f ( M h ) h The Extreme value Theorem states that if the real-valued function f is continuous in the closed and bounded interval [ a , b ] , then f must attain the maximum and the minimum, each at least once. Which means, there exist numbers c and d in [ a , b ] in a way that: f ( c ) ≥ f ( x ) ≥ f ( d ) So, M h > f ( x ) > m h M h < f ( x ) < m h

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Chapter 4.7, Problem 16C

To determine

To explain: The inequality for the given function.

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Chapter 4.7, Problem 15C

Chapter 4.7, Problem 17C

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The inequality for the given function.

Solution Summary: The author explains the Extreme value Theorem, which states that if the real-valued function f is continuous in the closed and bounded interval [a,b], then it must attain the

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