Find the Fourier transform specified in part (a) and then use it to answer part (b). (a) Find the Fourier transform of f(y, p, t)Jet sin pt t> 0, 0 '0>1 where y (> 0) and p are constant parameters. (b) The current 1(t) flowing through a certain system is related to the applied voltage V(t) by the equation Aros I(t)= K(t - u)V(u) du, where nOr K(t) = aif (y1, Pi, T) + a2f(72, P2, T). The function f(y, p, t) is as given in (a) and all the ai, yi (> 0) and pi are fixed parameters. By considering the Fourier transform of I (t), find the relationship that must hold between ai and a2 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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