visualizing a maximum in the intersection between two surfaces
- To: mathgroup at smc.vnet.net
- Subject: [mg131066] visualizing a maximum in the intersection between two surfaces
- From: dusko.cakara at gmail.com
- Date: Sat, 8 Jun 2013 02:34:15 -0400 (EDT)
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can somebody please help:
I want to visualize that for x+y=1, maximum x*y occurs when y=0.5 and x=0.5.
Graphically, this can be visualized as the maximum of the projection curve of the x+y=1 line in the x-y plane, at the x*y surface. Equivalently, we can look for the maximum in the intersection curve between the surface x*y and the surface peripendicular to the x-y plane with the base x+y=1.
Can I plot this in a simple manner?
Thanks in advance!
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