Problem 1. Find the poles of the following transfer functions: (a) G(s) = s+11 s2 +681 S 3 - s² + 10s + 50' 1 s²+28-3' $2 +48 (b) G(s): = (c) G(s) = = (d) G(s) = = s42821' s24s (e) G(s): = 84-2s²+1 Note you must calculate the poles by hand; however, you may use a computer program to check your answer. For each transfer function, indicate if it is asymptotically stable, Lyapunov stable (but not asymptotically stable), or unstable.