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MathGroup Archive 2005

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Plotting g(x,y) along contour of f(x,y)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57116] Plotting g(x,y) along contour of f(x,y)
  • From: gnalle at ruc.dk (Niels L. Ellegaard)
  • Date: Mon, 16 May 2005 07:06:51 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear great masters

I have two functions u(x,y) and phi(x,y) defined by
u = Cos[x] + 0.3*(y-0.1*Cos[x])^2;
phi=0.36 (y - 0.1 Cos[x])^2  + (-Sin[x] + 0.06 (y - 0.1 Cos[x]) Sin[x])^2;

For some limited parameterinterval I can invert u with respect to y to
get a function yy(x,uu) fulfilling

u(x,yy(x,u)) = u(x,y)

I would like to choose 3 values of u and draw graphs of
phi(x,yy(x,u)). I have a feeling that I should use implicitplot to do
this, but I am stuck and I would be grateful for a few hints.

                        Thanks in advance

                                Niels


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