Find the Fourier transform specified in part (a) and then use it to answer parn (b). (a) Find the Fourier transform of e-" sin pt t>0, t< 0, f(7. p.t) where y (> 0) and p are constant parameters. (b) The current I(t) flowing through a certain system is related to the applied voltage V(t) by the equation I(t) =K(t-u)V(u) du, where K(t) = af(y1, P1, 7) + azf(72, P2, T). The function f(y, p, t) is as given in (a) and all the a, n (> 0) and p, are fixed parameters. By considering the Fourier transform of I (t), find the relationship that must hold between a, and az if the total net charge Q passed through the system (over a very long time) is to be zero for an arbitrary applied voltage.

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A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

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A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

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