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A digital chirp signal is synthesized according to the following formula:

(a) Make a plot of the rotating phasor  for n = 10, 50, and 100.

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(b) if this signal is played out through a D-to-A converter whose sampling rate is 8 kHz, make a plot of the instantaneous analog frequency (in Hz) versus time for the analog signal.

(c) if the constant frequency digital signal  = cos(0.7πn) is played out through a D-to-A convener whose sampling rate is 8 kHz, what (analog) frequency will be heard?