(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use a triple integral to find the volume of the solid.

The solid in the first octant bounded by the coordinate planes and the plane 3x+6y+4z=12

2. Relevant equations

[tex]z=3-\frac{3}{4}x-\frac{3}{2}y[/tex]

3. The attempt at a solution

So I'm using the triple integral type of dzdydx.

At first I set z and x to 0, then z and y to 0 to obtain x and y limits but I think that was incorrect. I'm trying to integrate 3x+6y+4z-12.

I guess the upper limits of z will be the above equation done in editor, z=3-3x/4-3y/2 and lower limit will be 0?

That integration gets really dirty really quick. I doubt it is right. Can someone help point me in the right direction?

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# Homework Help: Easy triple integral problem

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