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2. Let G be the solid in the first octant bounded by the cylinders 2²+y² 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 rz-plane. = -

2. Let G be the solid in the first octant bounded by the cylinders 2²+y² 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 rz-plane. = -

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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2. 4 Let G be the solid in the first octant bounded by the cylinders x² + y² 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 xz-plane. 2
Transcribed Image Text:2. 4 Let G be the solid in the first octant bounded by the cylinders x² + y² 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 xz-plane. 2
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