Find and sketch the Fourier transform of the following time-domain signals.
(a) Ae–βt cos(ω0t)u(t), Re{β} > 0
(b) 6 sinc(0.5t)
(c) A sin(ω1t) + B cos(ω2t)
(d) 3 rect[(t – 2)/6]
(e) 4 sin(50t)[u(t) – u(t – 2)]
(f) 6tri[(t – 3)/4]
(g) 9 sinc2(12t)
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