Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. 4 sin 3x, y 4 cos 3x, x 0, x = 12 Hint: Use the identity cos 2x = cos?x – sin? x. NOTE: Enter the exact answer in the form of an improper fraction. V =

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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Find the volume of the solid that results when the region enclosed
by the given curves is revolved about the x-axis.
y = 4 sin 3x, y
4 cos 3x, x
0, x =
12
Hint: Use the identity cos 2.x =
cos²x – sin? x.
NOTE: Enter the exact answer in the form of an improper fraction.
V =
Transcribed Image Text:Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. y = 4 sin 3x, y 4 cos 3x, x 0, x = 12 Hint: Use the identity cos 2.x = cos²x – sin? x. NOTE: Enter the exact answer in the form of an improper fraction. V =
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