Wikipedia:Reference desk/Archives/Mathematics/2011 February 26
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February 26
[edit]Lagrangian Multipliers
[edit]I'm having some difficulties with using Lagrangian multipliers correctly, and would appreciate any help anyone can give. I thought I'd start with a simple problem that I can easily check the answer to, but I can't get the right answer. In particular, what is the largest volume of cube that will fit inside a unit sphere? My attempted solution is below.
Hence:
Using Wolfram Alpha to solve the simultaneous equations, to prevent me from messing that bit up, I get the following (ignoring non-physical negative solutions):
Please ignore the above, I've just realised what I've done... (for the interested, side length is twice x...) --131.111.184.8 (talk) 21:35, 26 February 2011 (UTC)
:
This is obviously not correct. Where have I gone wrong? --131.111.184.8 (talk) 21:31, 26 February 2011 (UTC)