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

Question
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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Transcribed Image Text

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