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)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net

Hello, 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! Dusko

**Follow-Ups**:**Re: visualizing a maximum in the intersection between two surfaces***From:*Dusko Cakara <dusko.cakara@gmail.com>

**Re: visualizing a maximum in the intersection between two surfaces***From:*Dusko Cakara <dusko.cakara@gmail.com>

**Re: visualizing a maximum in the intersection between***From:*leigh pascoe <leigh@evry.inserm.fr>

**Re: visualizing a maximum in the intersection between two surfaces***From:*Dusko Cakara <dusko.cakara@gmail.com>

**Re: visualizing a maximum in the intersection between two surfaces***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: visualizing a maximum in the intersection between two surfaces***From:*Bob Hanlon <hanlonr357@gmail.com>