For the following exercises, draw the region bounded by the curves. Then, find the volume when the region is rotated around the given horizontal axis. 32. y = x + 2, y = x + 6, x = 0, and x = 5, rotated around the line y = 1 33. y = x² and y = x + 2, rotated around the line y = 4

For the following exercises, draw the region bounded by the curves. Then, find the volume when the region is rotated around the given horizontal axis. 32. y = x + 2, y = x + 6, x = 0, and x = 5, rotated around the line y = 1 33. y = x² and y = x + 2, rotated around the line y = 4

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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Question

For the following exercises, draw the region bounded by the curves. Then,
find the volume when the region is rotated around the given horizontal
axis.
32. y = x + 2, y = x + 6, x = 0, and x = 5, rotated around the line
y = 1
33. y = x² and y = x + 2, rotated around the line y = 4

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