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A tank whose time constant is 1 min. It has an outlet pipe whose resistance to fluid circulation is 1 / 9 foot / (

A tank whose time constant is 1 min. It has an outlet pipe whose resistance to fluid circulation is 1/9 foot/(ft3/min). Said tank is operating in a steady state with an inlet flow rate of 10 ft3/min. At one point the flow rate increases sharply to 100 ft3/min. for 0.1 min. adding 9 ft3 of water evenly for the indicated time.
Represent the actual response of the tank and compare it with the response that would be obtained for an equivalent ideal boost.
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