Question: 4. (18%) A pump injects water into a container that was empty at time t=0, at the speed of S(0) = 1 (t+1)2 gallon/second. Show

4. (18%) A pump injects water into a container that was

empty at time t=0, at the speed of S(0) = 1 (t+1)2

4. (18%) A pump injects water into a container that was empty at time t=0, at the speed of S(0) = 1 (t+1)2 gallon/second. Show that the quantity of water in the tank will never exceed 1 gallon regardless how long the pump hose is connected

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