Find the volume of the given solid region in the first octant bounded by the plane 4x+ 12y + 3z = 12 and the coordinate planes, using triple integrals. (0,0,4) I (0,1,0) 3,0,0) Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. V= ! !! dz dy dx 0 0 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 4x + 12y + 3z = 12 and the coordinate planes, using
triple integrals.
(0,0,4) 1
(0,1,03
6.0,0)
.....
Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx.
ŢT ! dz dy dx
V=
0 0 0
Transcribed Image Text:Find the volume of the given solid region in the first octant bounded by the plane 4x + 12y + 3z = 12 and the coordinate planes, using triple integrals. (0,0,4) 1 (0,1,03 6.0,0) ..... Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. ŢT ! dz dy dx V= 0 0 0
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