Consider the solid elliptical rod bounded by the xy-plane, the plane z = ax +By+h through the point (0, 0, h) on the positive z-axis, and the elliptical cylinder x²/a² + y²/b² = 1. Show that its volume is abh (independent of a and B). Hint: Use elliptical coor- dinates x= ar cos 0, y = br sin 0.
Consider the solid elliptical rod bounded by the xy-plane, the plane z = ax +By+h through the point (0, 0, h) on the positive z-axis, and the elliptical cylinder x²/a² + y²/b² = 1. Show that its volume is abh (independent of a and B). Hint: Use elliptical coor- dinates x= ar cos 0, y = br sin 0.
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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