Undergraduate

Noxious gas is naturally produced in an underground cavern at the rate of - ( t ) = e ( 1 ) liters. per hour

Noxious gas is naturally produced in an underground cavern at the rate of -(t)= e (1) liters. per hour at time t hours, t >0. The initial amount of gas that is in the cavern att O is 10 liters At time t =10 hours, a pump begins to remove the noxious gas at a rate of 2 liters per hour. a) A what time t during the interval (0,10) hours is the amount of gas increasing most rapidly? b) What is the total amount of gas in the cavern at timet 10 hours? c) What is the absolute maximum amount of gas in the cavern over the time interval (10,20] hours?

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