Explanation Given: The integral is ∫ a b | f ( x ) − g ( x ) | d x . Calculation: The integral is ∫ a b | f ( x ) − g ( x ) | d x . We can rewrite the expression as: | f ( x ) − g ( x ) | = { f ( x ) − g ( x ) , if f ( x ) ≥ g ( x ) g ( x ) − f ( x ) , if g ( x ) > f ( x ) The integral ∫ a b ( f ( x ) − g ( x ) ) d x

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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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 6.1, Problem 5PQ

To determine

Write what $\int_{a}^{b} | f (x) - g (x) | d x$ represents.

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Chapter 6.1, Problem 4PQ

Chapter 6.1, Problem 6PQ

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Chapter 6 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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