3. Let R be the region enclosed by the curve y = VI – ĩ and the lines y = 2 and x = 1 shown below. y = 2 y = VI – I 1 (a) R about the x-axis. Use the washer method to find the volume of the solid generated by rotating Outer radius:_ Inner radius: (b) generated by rotating R about the line x = Set up (but DO NOT EVALUATE) the integral to find the volume of the solid -2 by using the cylindrical shell method Culindor hoight: Cylindor radius:

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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3. Let R be the region enclosed by the curve y = Vx – 1 and the lines y = 2 and r = 1 shown
below.
y = 2
y = VI
1
(a)
Use the washer method to find the volume of the solid generated by rotating
R about the x-axis.
Outer radius:
Inner radius:
Set up (but DO NOT EVALUATE) the integral to find the volume of the solid
(b)
generated by rotating R about the line x = -2 by using the cylindrical shell method
Cylinder height:
Cylinder radius:
Transcribed Image Text:3. Let R be the region enclosed by the curve y = Vx – 1 and the lines y = 2 and r = 1 shown below. y = 2 y = VI 1 (a) Use the washer method to find the volume of the solid generated by rotating R about the x-axis. Outer radius: Inner radius: Set up (but DO NOT EVALUATE) the integral to find the volume of the solid (b) generated by rotating R about the line x = -2 by using the cylindrical shell method Cylinder height: Cylinder radius:
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