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Determine the volume produced by the region bordered by x² - 4x - 4y + 4 = 0 and y = 1 about the line y = 1.

Determine the volume produced by the region bordered by x² - 4x - 4y + 4 = 0 and y = 1 about the line y = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Determine the volume produced by the region bordered by x² - 4x - 4y + 4 = 0 and y = 1 about the line y = 1.
Transcribed Image Text:Determine the volume produced by the region bordered by x² - 4x - 4y + 4 = 0 and y = 1 about the line y = 1.
(Circular Disk): Horizontal Axis of Rev.: V = II [R(x)]² dx Vertical Axis of Rev.: V = II J [R(y)]² dy Horizontal Axis of Rev.: Vertical Axis of Rev.: (Circular ring/Washer): V = 1 {[R(x)]²[r(x)}²} dx V = 1 {[R(y)]²[r(y)]²} dy (Cylindrical Shell): V = 211 frl dr
Transcribed Image Text:(Circular Disk): Horizontal Axis of Rev.: V = II [R(x)]² dx Vertical Axis of Rev.: V = II J [R(y)]² dy Horizontal Axis of Rev.: Vertical Axis of Rev.: (Circular ring/Washer): V = 1 {[R(x)]²[r(x)}²} dx V = 1 {[R(y)]²[r(y)]²} dy (Cylindrical Shell): V = 211 frl dr
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