Use the definition of the Fourier transform (5.1) to find the transform of the following time signals:
(a) f(t) = (1 – e–bt)u(t)
(b) f(t) = A cos(ω0t + ϕ)
(c) f(t) = eat u(–t), a > 0
(d) f(t) = Cδ(t + t0)
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