## evalf rules: power...

logically evalf(x^(1/10)); should return x^(0.1000...0), not x^(1/10). Or it's just case of other rule?

## How does Maple evalutate geometric functions with ...

I would like to know how does Maple evaluate a geometric functions with evalf.

e.g.

evalf(sin(Pi/12));

`                          0.2588190451`

What method is used? I think about Taylor approximation, is it good idea? If not, I need to compare it with Taylor approximation.

## Newton's Method in Maple...

Hello,

I'm doing a math assignment for numerical methods and I had to answer a question - solving Newton's method in maple to submit. I need to solve the question to an accuracy of 10^-5. I don't have access to the software right now as I only have it on the computers at our school, but I did take a maple course in my first year of university and have some experience with it. I wrote up this formula, but I'm not 100% sure if its correct. Could someone...

## How to evaluate a user-defined function?...

I have defined a function 'A' and written a procedure to evaluate it for various variables, as follows:

A := r*sin(m);

Aval := proc (r, m)

evalf(A);

end proc;

Aval(1, Pi);

The function defined by its variables is returned:  r*sin(m).

How can I get maple to return the numerical value of the function?

## Numerical integration problem...

I have a problem with the numerical integration in Maple. Any help or suggestion will be greatly appreciated!

K[1] := 1.0;
K[2] := 1;
K[3] := 0.16;
nu:=-5.92;
alpha:=8;
y:=0.01;

dF:=proc(z,y)
local k,q,h;
q:=BesselI(alpha,z)/BesselI(0.0,z);
h:=2*(K[1]*q-y)/(K[3]+(K[3]^2+4*K[2]*z^2*K[1]*q-4*K[2]*z^2*y)^(1/2));
k:=-(K[3]^2+4*K[2]*z^2*(K[1]*q-y))^(-1/2);
z^nu*h^(nu-1)*exp(-1/2/h-z^2*h/2)*k;
end proc: