Mathematica 9 is now available
Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2013

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: visualizing a maximum in the intersection between two surfaces

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131080] Re: visualizing a maximum in the intersection between two surfaces
  • From: Bob Hanlon <hanlonr357 at gmail.com>
  • Date: Mon, 10 Jun 2013 04:10:43 -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>

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
>
>


  • Prev by Date: Re: NURBS Package Available
  • Next by Date: Re: Calculating a simple integral
  • Previous by thread: Re: visualizing a maximum in the intersection between two surfaces
  • Next by thread: Re: visualizing a maximum in the intersection between two surfaces