Hello;
in this way we can find the extreme or critical points of the Heart function, in Maple:
<img src="http://mailinglists.scilab.org/file/t497622/Maple_Heart_solution.jpg" border="0" class="left" alt="Maple Heart solution"/>
function val = Heart(x1, x2)
val=(1.25*x2-sqrt(abs(x1))).^2+x1.^2-1;
endfunction;
First function resolved with respect to Y:
function y = heart_up(x1)
y = 4/5 * (sqrt(abs(x1))+sqrt(1-x1.^2))
endfunction
function y = heart_down(x1)
y = 4/5 * (sqrt(abs(x1))-sqrt(1-x1.^2))
endfunction
I would like to arrive at the same solution by numerical method, Scilab!
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