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5.9. Find and sketch the Fourier transform of the following time-domain signals. (a)

`Ae^(-\beta t)cos(\omega _(0)t)u(t),Re{\beta }>0`

(b)

`6sinc(0.5t)`

(c)

`Asin(\omega _(1)t)+Bcos(\omega _(2)t)`

(d)

`3rect[(t-2)/(6)]`

(e)

`4sin(50t)[u(t)-u(t-2)]`

(f)

`6tri[(t-3)/(4)]`

(g)

`9sinc^(2)(12t)`