Find the volume of the given solid region in the first octant bounded by the plane 4x + 8y + 2z = 8 and the coordinate planes, using triple integrals. The volume of the solid is unit(s)³. (Type an exact answer.) (0,0,4) (2,0,0) (0,1,0)

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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Find the volume of the given solid region in the first octant bounded by the plane 4x + 8y + 2z = 8 and the coordinate planes, using triple integrals.
The volume of the solid is unit(s)³.
(Type an exact answer.)
x
(0,0,4)
(2,0,0)
(0,1,0)
Transcribed Image Text:Find the volume of the given solid region in the first octant bounded by the plane 4x + 8y + 2z = 8 and the coordinate planes, using triple integrals. The volume of the solid is unit(s)³. (Type an exact answer.) x (0,0,4) (2,0,0) (0,1,0)
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