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Use the method of cylindrical shells to find the volume generated by rotating the each region around the given axis. (Enter exact answers in terms of π.) (a) y = 3x - x², x = 0, revolved around the y-axis. 1 (b) y = =,1 ≤x≤ 30, y = 0, revolved around the y-axis. x

Use the method of cylindrical shells to find the volume generated by rotating the each region around the given axis. (Enter exact answers in terms of π.) (a) y = 3x - x², x = 0, revolved around the y-axis. 1 (b) y = =,1 ≤x≤ 30, y = 0, revolved around the y-axis. x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the method of cylindrical shells to find the volume generated by rotating the each region around the given axis. (Enter exact answers in terms of πT.) (a) y = 3x - x², x = 0, revolved around the y-axis. 1 (b) y = 1, 1 ≤ x ≤ 30, y = 0, revolved around the y-axis.
Transcribed Image Text:Use the method of cylindrical shells to find the volume generated by rotating the each region around the given axis. (Enter exact answers in terms of πT.) (a) y = 3x - x², x = 0, revolved around the y-axis. 1 (b) y = 1, 1 ≤ x ≤ 30, y = 0, revolved around the y-axis.
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