Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(3x), y- 1, y= 3, x = 0; about the y-axis V- Sketch the region. Sketch the solid and a typical disk or washer. Graph Graph Description Graph Graph Description Graph Graph Description -6-5-4-3-2 -1- 6-5-4-3-2 -112 主 主

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = In(3x), y = 1, y = 3, x = 0; about the y-axis
Robe
V =
Sketch the region.
y
y
y
4
6
6-
4
2
2
4
6
2
4
6
-1
4
Sketch the solid and a typical disk or washer.
Graph
Graph Description
Graph
Graph Description
Graph
Graph Description
-6 -5 -4 -3 -2 -1T 2 3 4 5 6
-6 -5 -4 -3 -2 -1-
22 3 4 5 6
-5 -4 -3 -2 -1
1 2 3 4 5 6 7
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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(3x), y = 1, y = 3, x = 0; about the y-axis Robe V = Sketch the region. y y y 4 6 6- 4 2 2 4 6 2 4 6 -1 4 Sketch the solid and a typical disk or washer. Graph Graph Description Graph Graph Description Graph Graph Description -6 -5 -4 -3 -2 -1T 2 3 4 5 6 -6 -5 -4 -3 -2 -1- 22 3 4 5 6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 Activate Winde Go to Settings to a -4
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