2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the x-axis. (a) y = √x, x = 0, y = 2 (b) x = 4x² - y³, x = 0 (c) y = x², y = 6x − 2x² -
2. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the x-axis. (a) y = √x, x = 0, y = 2 (b) x = 4x² - y³, x = 0 (c) y = x², y = 6x − 2x² -
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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Transcribed Image Text:2. Use the method of cylindrical shells to find the volume generated by
rotating the region bounded by the given curves about the x-axis.
(a) y = √√x, x = 0, y = 2
3
(b) x = 4x² - y³, x = 0
(c) y = x², y = 6x - 2x²
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