1. Find the Fourier transform of the signal by hand, using either the de nition of the Fourier transform or properties of the Fourier transform.
2. Use the Symbolic Math Toolbox to nd the Fourier transform and show that the same result is obtained.
3. Determine the bandwidth of the signal using the following de nition for bandwidth:
The range of positive frequencies beyond which the frequency function is 3 dB or more
x(t) = {t exp(-2t); for t between 0, and 1. 0; otherwise}