Given a system with transfer function   a. Factor the transf…

Given a system with transfer function   a. Factor the transfer function into a product of simple gain, first-order lead, and second-order lag elements [5 pts] b. Determine the break frequency of the first order lead element. [5 pts] c.  Determine the magnitude (in dB) of the simple gain element. [5 pts] d. Determine the resonance peak and resonance frequency of the 2nd order lag element. [10 pts] e. Determine the steady-state output for an input