# Find the Fourier transform specified in part (a) and then use it to answer part (b). a) Find the Fourier transform of e-y! sin pt t> 0, t< 0, f(r. 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) = a¡f(yi,P1, t) + azf(72, P2, t). The function f(7, p, t) is as given in (a) and all the a;, Y: (> 0) and p, are fixed parameters. By considering the Fourier transform of I(t), find the relationship

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Find the Fourier transform specified in part (a) and then use it to answer part (b). a) Find the Fourier transform of e-y! sin pt t> 0, t< 0, f(r. 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) = a¡f(yi,P1, t) + azf(72, P2, t). The function f(7, p, t) is as given in (a) and all the a;, Y: (> 0) and p, are fixed parameters. By considering the Fourier transform of I(t), find the relationship