Find the volume under the paraboloid z = 144 - x² - y², above the xy-plane, and inside the cylinder x² + y² = 6y. Hint: I sin sin udu = 3u 8 1 sin(2u)+sin(4u) + C 32
Find the volume under the paraboloid z = 144 - x² - y², above the xy-plane, and inside the cylinder x² + y² = 6y. Hint: I sin sin udu = 3u 8 1 sin(2u)+sin(4u) + C 32
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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How do you find the volume?
Transcribed Image Text:Find the volume under the paraboloid z = 144 - x² - y², above the xy-plane, and inside the cylinder
x² + y² = 6y.
2
2
Hint:
1
1
sin
sinudu = - sin(2u) + sin(4u) + C
4
32
3u
8
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