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Consider the blending system shown in Fig.1. A feedback control system is used to control the product composition (x). Inlet flow rate (w2) is selected as the manipulated variable. Dynamic system behavior 1. Describe the system (give background) 2. Derive the model equations (chapter 2 ) 3. Steady state and dynamic behavior. Using the information shown below, derive transfer function for the process. (Chapter 3) 4. Response of the system to a step change (+100%) to the disturbance (w1). (Chapter 4) 5. Discuss the stability of the process