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MathGroup Archive 2005

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Crossing of 3D functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56978] Crossing of 3D functions
  • From: fonfastik at interia.pl (Paawel)
  • Date: Wed, 11 May 2005 05:25:58 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello
I have two functions of surfaces

F1=\!\(\(-7.516\)*\ 
      Exp[\(-3.076\)*\((r - 1.184)\)]*\((1 - 
          8.28*10\^\(-5\)*\((180\  - \ f)\)\^2)\)*0.7\^0.5 + 
    3.758*Exp[\(-6.152\)*\((r - 1.184)\)] + 3.92\)

and 

F2=\!\(\(-0.958\)*\ Exp[\(-4.993\)*\((r - 1.375)\)]*\((1 - \
1.07*10\^\(-3\)*\((133\  - \ f)\)\^2)\)*1\^0.5 + 0.479*
          Exp[\(-9.986\)*\((r - 1.375)\)] + 0.479\)

variables are r and f

I want to find a plot which describes crossing of these functions. 

I tried Solve command but without any success

I also tried a simpler example
Fa=Exp[-(x^2 + y^2)]
and
Fb=0.5
and when I used
Solve[Fa == Fb, {y}]
I received y1 and y2 - two parts of wanted function
How to obtain one function (circle) from the above Fa nad Fb?

Please Help
Pawel


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