1. Let G be the solid bounded above by the plane y + 4z = 16, be- low by the ry-plane, and on the sides by the parabolic cylinder y = r² hav- ing density function 8(x, y, z) xz². Set up an iterated triple integral in rectangular coordinates equal to the mass of G using the order of integration = (a) dz dy dx. (b) dy dx dz.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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1.
Let G be the solid bounded above by the plane y + 4z = 16, be-
low by the ry-plane, and on the sides by the parabolic cylinder y = x² hav-
ing density function 8(x, y, z) xz². Set up an iterated triple integral in
rectangular coordinates equal to the mass of G using the order of integration
(a) dz dy dx.
(b) dy dx dz.
=
Transcribed Image Text:1. Let G be the solid bounded above by the plane y + 4z = 16, be- low by the ry-plane, and on the sides by the parabolic cylinder y = x² hav- ing density function 8(x, y, z) xz². Set up an iterated triple integral in rectangular coordinates equal to the mass of G using the order of integration (a) dz dy dx. (b) dy dx dz. =
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