Use Cartesian coordinates to evaluate JJJ xy² z 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. Also, draw the solid D. =

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
Section10.1: The Rectangular Coordinate System
Problem 38E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6,...
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Use Cartesian coordinates to evaluate
JJ xy²³ z 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. Also, draw the solid D.
=
Transcribed Image Text:Use Cartesian coordinates to evaluate JJ xy²³ z 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. Also, draw the solid D. =
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