Use MATLAB to design a 4th order lowpass Butterworth digital filter with a bandwidth of 0.35 (normalised with respect to πfs). Then, a. Find the parameters of the equivalent analogue filter through bilinear transformation considering a sampling frequency of 10 Hz. b. What are the passband and stopband frequencies of both analogue and digital Butterworth filters. c. Draw the pole-zero diagram of the digital filter. d. Apply the input x[n] = 2sin(10πt) + 5cos(24πt) to the system and comment on the output. Use frequency response to enhance your conclusions.