Hp 50g Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 521)

The continuous spectrum is given by

The functions C(ω), S(ω), and A(ω) are continuous functions of a variable ω,

which becomes the transform variable for the Fourier transforms defined below.

– Determine the coefficients C(ω), S(ω), and the continuous spectrum

A(ω), for the function f(x) = exp(-x), for x > 0, and f(x) = 0, x < 0.

In the calculator, set up and evaluate the following integrals to calculate C(ω)

and S(ω), respectively. CAS modes are set to Exact and Real.

Their results are, respectively:

The continuous spectrum, A(ω) is calculated as:

⋅⋅⋅⋅= dxxxfS

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Hp 50g Graphing Calculator Manuel d'utilisateur Page 521