Find the volume of the region bounded between the planes x + y + 2z = 4 and 2x + 2y + z = 2 in the first octant.

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I DON'T KNOW WETHER MY LIMITS OF X AND Y ARE CORRECT OR NOT PLEASE ONCE GO THROGH IT AND HELP ME
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Walter Roberson
Walter Roberson on 24 Dec 2021
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Answers (2)

Matt J
Matt J on 24 Dec 2021
Edited: Matt J on 24 Dec 2021
One way would be to download these files,
and use them to obtain the vertices of the region, whereupon convhulln can be used to compute the volume.
A=[-eye(3); 1 1 2; -[2 2 1]];
b=[0;0;0;4; -2];
vertices=lcon2vert(A,b)
vertices = 5×3
0 0 2.0000 0 1.0000 0 0 4.0000 0 1.0000 0 0 4.0000 0 0
[~,volume]=convhulln(vertices)
volume = 5

Walter Roberson
Walter Roberson on 27 Dec 2021
In order to use viewSolid() with symbolic values, your fifth parameter (that you called ya in your code) must be symbolic. So you should
ya = 0 + 0*x;

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