Explanation Given information: The given function is f ( 0 ) = − 1 , The given graph is Concept used: The value of f ( a ) can be approximated by the integral ∫ a b f ′ ( x ) if f ( b ) is known. Calculation: The value of f ( 0 ) = − 1 . The objective is to approximate f ( 2 ) . There are approximately 47 boxes of 1 4 square unit each from 0 to 2

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 4.5, Problem 10C

To determine

To approximate: the value of f(2) .

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Chapter 4.5, Problem 9C

Chapter 4.5, Problem 11C

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Chapter 4 Solutions

Calculus

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To approximate: the value of f ( 2 ) .

Solution Summary: The author illustrates how the value of f(0) can be approximated by the integral.

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To approximate: the value of f(2) .

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Chapter 4 Solutions