Re: visualizing a maximum in the intersection between two surfaces

*To*: mathgroup at smc.vnet.net*Subject*: [mg131089] Re: visualizing a maximum in the intersection between two surfaces*From*: Dusko Cakara <dusko.cakara at gmail.com>*Date*: Tue, 11 Jun 2013 02:28:31 -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*References*: <20130608063415.570076A22@smc.vnet.net>

Dear Bob, What you posted as the alternative method is exactly what I was looking for (I particularly like you manipulation with Exclusions), but the first one is absolutely sleek! Thanks a lot! Best regards Dusko ------------------------------------------------------ Dr. Dusko Cakara Dpt. of Biotechnology University of Rijeka Radmile Matejcic 2, 51000 Rijeka, Croatia Email: dusko.cakara at uniri.hr Tel: +385/51/584555 Fax: +385/51/584599 Mobile: +385/91/9570399 ------------------------------------------------------- On Sun, Jun 9, 2013 at 4:42 PM, Bob Hanlon <hanlonr357 at gmail.com> wrote: > An alternate method > > > Show[ > ContourPlot3D[Tooltip[x + y == 1], > {x, 0, 1}, {y, 0, 1}, {z, 0, 1/2}, > ContourStyle -> Opacity[.7], > MeshStyle -> Gray], > Plot3D[Tooltip[x*y], {x, 0, 1}, {y, 0, 1}, > PlotStyle -> Opacity[.7], > Exclusions -> {x == 1/2, y == 1/2, x + y == 1}, > ExclusionsStyle -> > Directive[Opacity[1], Black, Thick], > MeshStyle -> Gray, > PlotPoints -> 100]] > > > > Bob Hanlon > > > > > On Sat, Jun 8, 2013 at 2:34 AM, <dusko.cakara at gmail.com> wrote: > >> 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 >> >> >

**References**:**visualizing a maximum in the intersection between two surfaces***From:*dusko.cakara@gmail.com