MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134856926

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Textbook Question

Chapter 8.2, Problem 45E

Volumes of solids Find the volume of the solid that is generated when the given region is revolved as described.

45. The region bounded by g ( x ) = ln x and the x-axis on [1, e] is revolved about the x-axis.

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Chapter 8.2, Problem 44E

Chapter 8.2, Problem 46E

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K Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x² + 1 and y = 2x + 6 about the x-axis. ... The volume of the solid generated by revolving the region bounded by the graphs of y = 2x² + 1 and y = 2x + 6 about the x-axis is cubic units. (Round to the nearest hundredth.)

y=f(x) y=g(x) base view cross-section The base of a certain solid is the area bounded above by the graph of y = f(x) = 4 and below by the graph of y = g(x) = 25x² Cross-sections perpendicular to the x-axis are squares. (See picture above, click for a better view.) Use the formula A V I- to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of ä: A(x)= Thus the volume of the solid is V = ·b = 1² a → ← A(x) dx

y=f(x) y=g(x) base view cross-section The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the graph of y = g(x) = 4x². Cross-sections perpendicular to the x-axis are squares. (See picture above, click for a better view.) Use the formula V ID ← = = to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of ä: A(x)= Thus the volume of the solid is V = → A(x) dx IB ←

Chapter 8 Solutions

MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)

Ch. 8.1 - What change of variable would you use for the...Ch. 8.1 - Explain how to simplify the integrand of...Ch. 8.1 - Explain how to simplify the integrand of x+1x1dx...Ch. 8.1 - Express x2 + 6x + 16 in terms of a perfect square.Ch. 8.1 - What change of variables would you use for the...Ch. 8.1 - Evaluate (secx+1)2dx. (Hint: Expand (sec x + 1)2...Ch. 8.1 - What trigonometric identity is useful in...Ch. 8.1 - Let f(x)=4x3+x+24x+2x2+1. Use long division to...Ch. 8.1 - Describe a first step in integrating 10x24x9dx.Ch. 8.1 - Evaluate 2x+1x2+1dx using the following steps. a....

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Volumes of solids Find the volume of the solid that is generated when the given region is revolved as described. 45. The region bounded by g ( x ) = ln x and the x -axis on [1, e ] is revolved about the x -axis.

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