i'm new to triple integrals and having trouble setting this problem up.

its the equation f(x,y,z)= xy

bound by the planes x=0, y=0, z=0, x+2y+4z=8

how do i find the boundaries for integration?

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- November 1st 2009, 11:23 AMholly123triple integral
i'm new to triple integrals and having trouble setting this problem up.

its the equation f(x,y,z)= xy

bound by the planes x=0, y=0, z=0, x+2y+4z=8

how do i find the boundaries for integration? - November 1st 2009, 12:28 PMshawsend
Find out where the plane intersects the y and x-axis. You can do that from the equation first let x=0 and z=0 so then , then let z=0 and y=0 so then x=8 then you can find and below and set up:

or:

- November 1st 2009, 12:39 PMholly123
thanks so x is from 0 to 8, y from 0 to 4, and z from 0 to 2?

- November 1st 2009, 01:13 PMshawsend
- November 1st 2009, 06:05 PMholly123
ughhh i set it up this way, as well as many variations of this way, and am getting a completely wrong answer. i have worked on this problem for hours and done it several times. the answer in the back of the book is 256/15

i have gotten 2816/3 and 15104/15 many times. how in the world do you do this problem?!?(Headbang)