Explanation Use Pythagoras’ Theorem to calculate the hypotenuse value and use arc length integral to obtain the arc length value and verify if they are the same in both the cases Given: f ( x ) = m x + r Calculation: By Pythagoras’ Theorem, h 2 = ( b − a ) 2 + m ( b − a ) 2 = ( b − a ) 2 ( 1 + m 2 ) = > h = ( b − a ) 1 + m 2 as

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 9.2, Problem 24E

To determine

The arc length of the graph of $f (x) = m x + r$ over $[a, b]$ in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral

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Chapter 9.2, Problem 23E

Chapter 9.2, Problem 25E

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Chapter 9 Solutions

CALCULUS (CLOTH)

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The arc length of the graph of f ( x ) = m x + r over [ a , b ] in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral

Solution Summary: The author explains how to determine the arc length of the graph of f ( x ) = mx + r over [ a, b ] using Pythagorean Theore

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The arc length of the graph of $f (x) = m x + r$ over $[a, b]$ in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral

Want to see the full answer?

Chapter 9 Solutions

The arc length of the graph of f ( x ) = m x + r over [ a , b ] in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral

Solution Summary: The author explains how to determine the arc length of the graph of f ( x ) = mx + r over [ a, b ] using Pythagorean Theore

Concept explainers

Videos

The arc length of the graph of f(x)=mx+r over [a,b] in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral

Want to see the full answer?

Chapter 9 Solutions

The arc length of the graph of $f (x) = m x + r$ over $[a, b]$ in two ways: using Pythagorean Theorem (Figure 16) and using the arc length integral