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Advanced MathQ&A Library2. Given the following functions, can you have the correspondinga) Fourier series,b) Fourier transform andc) Laplace transform? If yes, find them, if not, explain why you cannot.A. x(t) = -1+cos(2t) + sin(at+1)B. x(t) = 28(t) cos(2t) +8(t-1.57t) sin(2t)C. x(t) = 1+cos(1.5t) + cos(4t)%3DQuestion

Asked Dec 11, 2019

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Step 1

From the given statement, the functions are

Step 2

Definition used:

A **Fourier series** is an expansion of a periodic function in terms of an infinite sum of sines and cosines.

The **Laplace transforms** a function of real variable *t* to a function of a complex variables *s*.

Calculation:

Note that, the range and period is not given in the functions.

So we can’t find Fourier series in this problem.

__Calculation of Laplace transforms:__

Step 3

Part (B)...

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