Find analytical expressions for the magnitude and phase response for each G(s) below. Then, sketch the Bode asymptotic magnitude and asymptotic phase plots for each function. Please show ALL work and not just answers please.
a) G(s)= 1/s(s+2)(s+4)
b) G(s)= (s+5)/(s+2)(s+4)
c) G(s)= (s+3)(s+5)/s(s+2)(s+4)