Consider once again the two-compartment tank with glucose coming into compartment I in a flow-through stream with concentration, Gi, in the inflow stream. Compartment 1 is separated from compartment 2 by a membrane that allows diffusion of glucose from compartment 1 into compartment 2 and vice versa. Glucose in compartment 2 , but not compartment 1 , is chemically broken down. Assume the following: 1. Instantaneous mixing in each compartment 2. Net rate of movement from compartment 1 to compartment 2 is given by kT[[G]1(t)[G]2(t)] 3. Rate at which glucose is broken down (consumed) in compartment 2 is given by the constifutive equation kmGs0G2(t)G2(t) Where hm is a constant equal to the maximal rate of glucose consumption and Gso is a constant (which is equal to the concentration of glucose at which the rate of breakdown is one half of maximal rate); a) Build and write the state variable differential equation for the system using G/(t) and G2(t) as the state variables and Gi as the input. b) Is the differential equation linear or nonlinear. Why