Fa imput 1. a liquid-phase, exothermic reaction A + B takes place in a continuous, stirred tank reac- tor. the following set of coupled ODEs is a [lin- earized] dynamic model for the concentration of A, [A]* = [A]*(t), and temperature, T* = T*(t), in the reactor (both in deviation form). the input to this system is the feed rate of A, F = FX(t). [A] ,T = outputs d[A]* -8[A]* 4T* + F* dt dT* = [A]* - T* dt draw a casual loop diagram showing how the input affects the two ouputs and each other. derive the transfer function relating the response of the temperature T (one of the "output"s) to changes in the feed rate FA (the "input"). hint: take the Laplace transform of both equations eliminate L{[A]*(t)} from one of the equations solve for L{T*(t)} in terms of L{FX(t)}