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Question: Fitted equation

Question:Fitted equation

hamid1 15 Maple 18
fit
December 15 2015
0

Hi

My function is shown below:

restart;

f:=(x,y)->evalf[5](2*x*Int(sqrt(1+y^2*(t*x-1)^2/(1-(t*x-1)^2)), t = 0 .. 1)):

printf(" x     y     f(x,y)\n");    

for x from 0.1 to 1.9 by 0.1 do

for y from 0.1 to 0.9 by 0.1 do

printf("%g   %g   %g\n",x,y,f(x,y));

od; od;

 


I want a relationship as follows to be fitted values of x,y, f(x,y)

f(x,y)=a1*x*sqrt(1+y^2*((a2*x-a3)^2/(1-(a4*x-1)^2)))

a1,a2,a3,a4=Coefficients that must be determined

 
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