(A) Explanation Calculation: The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b is given by the integral ∫ 1 b x − 5 4 d x . Obtain the value of the integral ∫ 1 b x − 5 4 d x as follows. ∫ 1 b x − 5 4 d x = [ x − 5 4 + 1 − 5 4 + 1 ] 1 b = [ x − 1 4 ( − 1 4 ) (B) To determine To find: The area under the graph g ( x ) = 1 x 4 5 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.

MyLab Math with Pearson eText - Stand Alone Access Card - for Calculus for Business, Economics, Life Sciences & Social Sciences, Brief Version (14th Edition)

14th Edition

ISBN: 9780134856599

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

Publisher: PEARSON

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Chapter 11.1, Problem 1ED

(A)

To determine

To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

(B)

To determine

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

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Chapter 11.1, Problem 6MP

Chapter 11.1, Problem 2ED

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Chapter 11 Solutions

MyLab Math with Pearson eText - Stand Alone Access Card - for Calculus for Business, Economics, Life Sciences & Social Sciences, Brief Version (14th Edition)

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.

Solution Summary: The author explains how to find the area under the graph f(x)=1.

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To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

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Chapter 11 Solutions

The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b &gt; 1 and discuss the behavior of the area as b assume larger values.

Solution Summary: The author explains how to find the area under the graph f(x)=1.

Concept explainers

Videos

To find: The area under the graph f(x)=1x54 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

To find: The area under the graph g(x)=1x45 from x=1 to x=b, b>1 and discuss the behavior of the area as b assume larger values.

Want to see the full answer?

Chapter 11 Solutions

The area under the graph f ( x ) = 1 x 5 4 from x = 1 to x = b , b > 1 and discuss the behavior of the area as b assume larger values.