JJ xy²z dv where D is the tetrahedron in the first octant bounded by the coordinate planes and the plane x + 2y + 4z -80. Use dV = dz dy dx.

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 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Set up the iterated integral for:

JJJ xy²z dv
D
where D is the tetrahedron in the first octant bounded by the coordinate planes and the
plane x + 2y + 4z - 8 = 0. Use dV
=
dz dy dx.
Transcribed Image Text:JJJ xy²z dv D where D is the tetrahedron in the first octant bounded by the coordinate planes and the plane x + 2y + 4z - 8 = 0. Use dV = dz dy dx.
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