1. (8 points) the figure below shows the responses yi(t), y5 (t), ..., yž (t) of eight different processes to a unit impulse input. the transfer functions of the eight

processes are listed below in a shuffled order. match the transfer function with the response and justify each using analytical mathematics (poles, time constant, gain, damping coefficient, and the first- and second-order impulse response we derived in class). i.e., while I encourage you to use Controlz.jl to check your answers, "the simulation matched" is not an acceptable justification. G1(s)= 6/3s+1 corresponds to panel (a,....B,....,h) because G2(s) = 5/2s+1 corresponds to panel ( a,b....h)______ because =. G3(s) = 12/6s+1 corresponds to panel (a,b,....h) because . G4(s) = 6 / 9/4s2+3/5s+1 corresponds to panel ( a,b,....h) because G5 (s) 6/9/4s2+3/2s+1 corresponds to panel (a,b,...h) because 6.G6(s) =6/9/4s2+ 9/2s+1 corresponds to panel (a,b, ....,h) because 6.G7(s) = 6/9s2+9s+1 corresponds to panel (a,b,....h) because 6.- G8s(s) = 6/9s2-3/10s+1 corresponds to panel ( a,b,....h) beacuse