Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 20x + 24y + 30z - 120 = 0 and the coordinate planes. Evaluate the integral to obtain the volume of the tetrahedron. The integral (in exact answer) is dz dy dx

Elementary Geometry For College Students, 7e
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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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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3.5-5
Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane
20x + 24y + 30z - 120 = 0 and the coordinate planes.
Evaluate the integral to obtain the volume of the tetrahedron.
The integral (in exact answer) is
dz dy dx
Transcribed Image Text:Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 20x + 24y + 30z - 120 = 0 and the coordinate planes. Evaluate the integral to obtain the volume of the tetrahedron. The integral (in exact answer) is dz dy dx
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