1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2. Sketch the region. 3. Sketch the solid and a typical disk or washer.

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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1. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

2. Sketch the region.

3. Sketch the solid and a typical disk or washer.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = In(5x), y = 1, y = 3, x = 0;
about the y-axis
Sketch the solid and a typical disk or washer.
V =
y
4
Sketch the region.
y
-2
-1
1
4
-1
-1
-1
1
5
4
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(5x), y = 1, y = 3, x = 0; about the y-axis Sketch the solid and a typical disk or washer. V = y 4 Sketch the region. y -2 -1 1 4 -1 -1 -1 1 5 4
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