Consider two tanks connected in parallel with the block diagram depicted below: Y/ (s) u(s) 91 (s) 92 (s) Y/ (S) y(s) Both tanks are characterized with first order transfer functions. The gains and time constants are given as K-3, K=-1, T-5 and T=1.5, respectively. a) Determine the response y(t) of the system for a unit step change in u(t). b) Determine the settling time.

1. [30 pts] Consider two tanks connected in parallel with the block diagram depicted below: Both tanks are characterized with first order transfer functions. The gains and time constants are given as K1=3,K2=1,1=5 and 2=1.5, respectively. a) Determine the response y(t) of the system for a unit step change in u(t). b) Determine the settling time