Question 1 Based on your understanding, elucidate the methods involved to design a filter. Question 2 You are given a task to design a Butterworth filter of the low-pass type of order K = 4 and 3- dB cutoff frequency w. = 1. With the aid of a suitable diagram, identify the distribution of poles of H(s)H(-s) in the s-plane. Afterward, determine the transfer function of this filter. Question 3 You are requested to redesign the filter in Question 2 with a new order of K = 5. With the aid of a suitable diagram, identify the distribution of poles of H(s)H(-s) in the s-plane. Afterward, determine the new transfer function of this redesign filter. Question 4 From the low-pass filter's transfer function in Question 2, identify the transfer function of the corresponding bandpass filter with midband frequency wo = 1 and bandwidth of B = 0.1