Given a system has the following transfer function, 250 (s + 1) s(-(-s) + 10s + 25) a) Find the numbers of the zero(s) and pole(s) of the system. H(s) = b) Write down the standard form of the transfer function in jw domain. (3 marks) (3 marks) c) Determine if the circuit is a low pass, high pass, band pass or a band stop filter. Give reasons to support your answer. (4 marks) d) Using a semi-log graph paper, plot the magnitude response for each individual factor in the transfer function H(s) with the broken line, and plot the overall magnitude response of H(s) with the solid line. (5 marks) e) Using a semi-log graph paper, plot the phase response for each individual factor in the transfer function H(s) with the broken line, and plot the overall phase response of the transfer function H(s) with the solid line. (5 marks)