Plot the input and the output of the filter on a single plot, MATLAB Programming

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An FIR filter has coefficients b = [ 1.0000 -0.6387 1.0214 0.8210 -0.7470 1.0920 ]

(a) Find H(z) for the filter and plot its frequency response (magnitude and phase) using subplot.

(b) For an input of x(t) =5 cos(100πt) sampled at fs=250Hz, plot the input and the output of the filter on a single plot. Use a sample input vector of 100 points. Annotate the plot showing the gain and phase shift caused by the filter. State how these values relate to the plot of part (a).

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