Problem 4. Develop a computer-based algorithm for using a low pass filter, and determine the cutoff frequency value to remove the highest frequency component of the signal described by y(t) = sin11t +0.25. cos230t +0.1.sin(100ret) where t=0:0.001:4.6 seconds. a) Provide the plot of time domain plot of the signal. b) Plot the spectral magnitude versus frequency of the raw and filtered data. c) What was the cutoff frequency value that you used? d) Did the filter reduce the amplitudes of the other two spectral components? e) How do you reduce the effect of the filter on the first two components? Provide the plot of your well designed filter