2. Given the signal below
x(t) = \delta(t) - 2e^{-2t}u(t)
a. Determine the Fourier transform using the Fourier transform integral,
$X(\omega) = \int_{-\infty}^{\infty} x(t)e^{-j\omega t} dt$
b. plot the magnitude Fourier spectrum and classify the signal types, that is, low, or high
frequency dominant signal?