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8. A solid lies in the 1st octant bounded by the surface y = 9 - x2 (where x 2 0) and the planes y = 0, z = 0, and z = 1. Its density at the point (x, y, z) is given by P(x, y, z) = 1+xyz. Set up the iterated integral that gives the mass of the solid. Then use technology to evaluate the integral.

8. A solid lies in the 1st octant bounded by the surface y = 9 - x2 (where x 2 0) and the planes y = 0, z = 0, and z = 1. Its density at the point (x, y, z) is given by P(x, y, z) = 1+xyz. Set up the iterated integral that gives the mass of the solid. Then use technology to evaluate the integral.

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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8. A solid lies in the 1st octant bounded by the surface y = 9 – r2 (where x 2 0) and the planes y = 0, z = 0, and z = 1. Its density at the point (x, y, z) is given by P(x, Y, z) = 1+xyz. Set up the iterated integral that gives the mass of the solid. Then use technology to evaluate the integral.
Transcribed Image Text:8. A solid lies in the 1st octant bounded by the surface y = 9 – r2 (where x 2 0) and the planes y = 0, z = 0, and z = 1. Its density at the point (x, y, z) is given by P(x, Y, z) = 1+xyz. Set up the iterated integral that gives the mass of the solid. Then use technology to evaluate the integral.
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