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Problem 2 [15 points] For the given signals

1. r(t) = 4 sin(20πt)

2. r₂(t) 4 sin(80nt)

3. T3(t) = -4 sin(40πt)

Answer the following questions

a. [6 points] Using the MATLAB command stem to plot the signals formed by sampling the

above three functions over the interval 0 < t <1 with sampling rate of 30 Hz.

b. [6 points] Determine the Nyquist sampling rate for each signal.

c. [3 points] What do you observe?