Find the volume of the given solid region in the first octant bounded by the plane 10x + 8y +20z = 40 and the coordinate planes, using triple integrals. Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. V= v=[[ 00 0 - dz dy dx (0,0,2). (4,0,0) (0.5,0)

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 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 10x + 8y +20z = 40 and the coordinate planes, using triple
integrals.
Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx.
V=
v=[[
00
0
-
dz dy dx
(0,0,2).
(4,0,0)
(0.5,0)
Transcribed Image Text:Find the volume of the given solid region in the first octant bounded by the plane 10x + 8y +20z = 40 and the coordinate planes, using triple integrals. Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. V= v=[[ 00 0 - dz dy dx (0,0,2). (4,0,0) (0.5,0)
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