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Question: problem 2 25 pts the quotsimplest linear sinkquot model is...

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Problem 2 (25 pts)- The simplest linear sink model is given below. (a) Whats the math (ODE) model for this sink model? (Put answer next to model pic below) da/dt 1/s SOURCE SIMPLEST lin SINK (b) State the mathematical form of the negative feedback signal (output of feedback component block). (c) Using your knowledge of Michaelis-Menten reaction kinetics, how would you change this model to the simplest nonlinear sink model? Do not draw a whole other model Just show/say how and where you would make the needed change and spell it out in mathematical terms.

(d) State the new mathematical form of the negative feedback signal (las in (b) (e) Why does this simplest nonlinear sink model behave like the simplest linear sink model when the input signal is very smal (Answer is brief and uses math)

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