Let G be the solid in the first octant bounded by the cylinders x² + y² = 4 and (x − 1)² + y² = 1, and by the planes x = 0, y = 0, and z = 4 - x having density function 8(x, y, z) = y²z. Set up an iterated triple integral in cylindrical coordinates equal to the moment Mrz of G about the æz-plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let G be the solid in the first octant bounded by the cylinders x² + y² = 4
and (x − 1)² + y² = 1, and by the planes x = 0, y = 0, and z = 4 − x
having density function 8(x, y, z) = y²z. Set up an iterated triple integral in
cylindrical coordinates equal to the moment Mrz of G about the az-plane.
Transcribed Image Text:Let G be the solid in the first octant bounded by the cylinders x² + y² = 4 and (x − 1)² + y² = 1, and by the planes x = 0, y = 0, and z = 4 − x having density function 8(x, y, z) = y²z. Set up an iterated triple integral in cylindrical coordinates equal to the moment Mrz of G about the az-plane.
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