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November 9th, 2011, 03:53 PM   #1
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Find the dimension of the rectangular box

Hello everyone,
please help me with these problems
Thanks in advance.

1/Find the dimension of the rectangular box of maximum volume that has three of its faces in the coordinate planes, one vertex at the origin, and another vertex in the first octant on the plane 2x+3y+5z=36


2/ Use polar coordinate to evaluate where
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November 9th, 2011, 08:33 PM   #2
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Re: Find the dimension of the rectangular box

Hello, genie!

Quote:
1. Find the dimension of the rectangular box of maximum volume that has three of its faces
in the coordinate planes, one vertex at the origin, and another vertex in the first octant
on the plane

I would use Lagrange multipliers.








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November 10th, 2011, 04:16 AM   #3
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Re: Find the dimension of the rectangular box

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and



A plot of the given region.

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.[/color]
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