1. (20%) Sketch Bode plots for the following transfer functions using asymptotic approximations. (a) G(s) = (s+2)(s+4) (8+5) (b) G(s) = (s+2)(s+4) (c) G (s) = (s+3)(s+5) s(8+2)(8+4) 2. (20%) Find analytical expressions as functions of w for the magnitude and phase response for each G(s) in Problem 1.