Double Integral problem

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February 7th 2007, 08:57 PM
pakman

Double Integral problem

Stuck on this last problem. It's telling me to sketch the indicated solid, then find its volume by an iterated integration.

Wedge bounded by the coordinate planes and the planes x = 5 and y+2z-4=0

Thanks in advance!
February 7th 2007, 10:47 PM
Jameson

Quote:

Originally Posted by pakman

Stuck on this last problem. It's telling me to sketch the indicated solid, then find its volume by an iterated integration.

Wedge bounded by the coordinate planes and the planes x = 5 and y+2z-4=0

Thanks in advance!

Sorry this is brief. I assume you can sketch the solid. Now look at it only on the x-y plane to get the region over which you're integrating. Then set up the bounds accordingly... not a good explanation but if no one posts before I check again in the morning, I'll give a detailed explanation.
February 7th 2007, 10:49 PM
CaptainBlack

Quote:

Originally Posted by pakman

Stuck on this last problem. It's telling me to sketch the indicated solid, then find its volume by an iterated integration.

Wedge bounded by the coordinate planes and the planes x = 5 and y+2z-4=0

Thanks in advance!

Looks like the integral you want is:

$<br /> \int_{x=0}^5 \int_{y=0}^4 \int_{z=0}^{2-y/2 } dz\, dy\, dx<br />$

RonL
February 8th 2007, 03:42 AM
Soroban

Hello, pakman!

Did you make the sketch?

Quote:

Wedge bounded by the coordinate planes and the planes x = 5 and y + 2z - 4 = 0

Code:

* * * * * * * * * * 2 * * * * * * 5 * * * * * 4