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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.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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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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