A liquid-level system has the following properties: Tank dimensions: 10 ft high by 5-ft diameter Steady-state operating characteristics: Inflow, gal/hSteady-state level, ft 00 5,0000.7 10,000|1.1 15,0002.3 20,0003.9 25,0006.3 30,0008.8 (a) Plot the level response of the tank under the following circumstances: The inlet flow rate is held at 300 gal/min for 1h and then suddenly raised to 400 gal/min. (b) How accurate is the steady-state level calculated from the dynamic response in part (a) when compared with the value given by the table above? (c) The tank is now connected in series with a second tank that has identical operating characteristics, but which has dimensions 8 ft high by 4-ft diameter. Plot the response of the original tank (which is upstream of the new tank) to the change described in part (a) when the connection is such that the tanks are (1) interacting and (2) noninteracting.