3. Consider the region bounded by the x-axis and the graphs of f(x) = 2/x + 1, x = 2, and x = 6. Imagine the solid of revolution that results from rotating this region about the x-axis. (a) Sketch a graph of the region. (b) Using the disk method, identify an expression that will represent the radius of each disk in terms of x. (c) Set up an integral that represents the volume of the solid using the disk method. [NOTE: You do not need to evaluate the integral!]

3. Consider the region bounded by the x-axis and the graphs of f(x) = 2/x + 1, x = 2, and x = 6. Imagine the solid of revolution that results from rotating this region about the x-axis. (a) Sketch a graph of the region. (b) Using the disk method, identify an expression that will represent the radius of each disk in terms of x. (c) Set up an integral that represents the volume of the solid using the disk method. [NOTE: You do not need to evaluate the integral!]

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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