Given the following transfer function and input signal : (i) G(s) s+3/ s^2 + 9s + 15 , = u(t)= 3 sin(4t) (ii) G(s) = s-5 / s^2 + 5s ` u(t) = 3
a. Compute the characteristic/denominator roots of each transfer function, and analyze the characteristic of the system b. Compute the time response using Laplace transformation table