Find the volume of the following solid. The solid above the region R={(x,y): 0≤x≤ 1,0 ≤ y ≤2-x} and between the planes - 4x - 4y+z=0 and -2x-y+z= 8 The volume of the solid is (Type an integer or a simplified fraction.) ZA -2x-y+z=8 R 1 -4x-4y+z=0 2 y=2-x y

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 following solid.
The solid above the region R={(x,y): 0≤x≤ 1,0 ≤ y ≤2-x} and between the
planes - 4x - 4y+z=0 and -2x-y+z= 8
The volume of the solid is
(Type an integer or a simplified fraction.)
ZA
-2x-y+z=8
R
1
-4x-4y+z=0
2
y=2-x
y
Transcribed Image Text:Find the volume of the following solid. The solid above the region R={(x,y): 0≤x≤ 1,0 ≤ y ≤2-x} and between the planes - 4x - 4y+z=0 and -2x-y+z= 8 The volume of the solid is (Type an integer or a simplified fraction.) ZA -2x-y+z=8 R 1 -4x-4y+z=0 2 y=2-x y
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