Dear all

Starting from

259^2+1=34*1973

How can we perform  a one round of the Fermat Descent procedure and justify that we can write 1973 as sum of two squares.

Thanks

Dear all

How compute the area ( closed area)  between the curves x=2-y^2,  y=x and y=-1 using simple or double integral.

Please, see the following figure.

Which  appropriate integral in Maple can be formulated to compute the area.

Many thanks for your help.

Hi all

I would like to display 'Hello' or 'try again' to see the condition introduced is satisfied or not. 

if f(a) <0 then print( a, f(a));
display ('  Hello);
else
display( ' Tru again')

end if;

But this code does not work.

Thanks for any help.

Dear all

I solve an optimization problem ( minimization or maximization) using lagrangeMultiplier theorem 

The objective function is f:=(x,y,z) =x*y+y*z;

The constraints are: x*y=1  and y^2+z^2=1;

Using a numerical method I get the follwing point 

x = 1.41421356249703, y = .707106781124551, z = .707106781248575

How can I confirm that this point is a minumum or maximum

Maybe I must use Hessian matrix or something else.

Which condition must be introduced to know the type ( maximum or minumum) this point.

Many thanks for your help

I have a system of equation as

Hi all

I have a system of equation:

sys := [x+y, 2*x+y^2];

How can I convert the previous system to this function using maple

F:=(x,y)->(x+y,2*x^2+y^2);

then how can I compute the gradient of F.

Many thanks.