Hello, I have been asked a question which I think you could resolve. I was asked if the CP300 is able to do Laplace transformation, z-trasnformation and fourier expansion.

For the Laplace transformation I read in this forum that it was possible manually with a few steps. I took as a reference the Hp49, which handles this calculation with a single function:

LAP(1) -> 1/x

LAP(x) -> 1/x^2

LAP(e^x) -> 1/(x-1)

I then tried to follow the steps with the CP300 and the results confused me:

S(e^(-s*t) * 1, t, 0, oo) -> Undefined

S(e^(-s*t) * t, t, 0, oo) -> Undefined

S(e^(-s*t) * e^t, t, 0, oo) -> Undefined

Then, as somewhere in this forum it says that the AFX was able to do these calculations I tried with it:

S(e^(-s*t) * 1, t, 0, oo) -> 1/s - (e^(-oo*s)/(s))

S(e^(-s*t) * t, t, 0, oo) -> 1/s^2 - (oo*e^(-oo*s))/(s)

S(e^(-s*t) * e^t, t, 0, oo) -> 1/(s-1) - (oo*e^(-oo*s))/(s-1)

The things that confused me are the following:

1. If it is supposed that the CP300's CAS is better than that of AFX, then why it gives an undefined result while the AFX gives a defined result?. Is this a bug on the Cp300's CAS.

2. What is the long second term involved in the AFX's answer, the one that differs from te HP49 answer (which I assumed as the correct one)? Can we tell the AFX's answer is also correct?

I used S as the integral symbol and oo as infinity.

Additionaly I was asked for the z-trasnformation, for which I have no clear idea of the steps to accomplish it.

For the fourier expansion I know that the ECON addin application comeswith a functionality of taking sampled microphone/audio data and making the expansion from a selected range, for which it can generate the corresponding function. Besides that, I dont know if a program can be made to do this task.

Hope you could help with this questions. Thanks a lot

**CrimsonCasio:**I deleted the duplicate topic in the FDF, i assume it was just a mistake.