The rate at which contaminated water enters a treatment tank

The rate at which contaminated water enters a treatment
tank is E (t)= 2000 +650cos (pit^2/10)
gallons per hour, for 0 ?t ?6 hours. How many
gallons of contaminated water enters the tank during the 6 hours? Give you answer to
the nearest integer.

Solution

water entered=2000+650cos(pi t^2 /10)dt

=2000t+6505cos(t/5) from t=0 to 6

=12561.4 gallons

The rate at which contaminated water enters a treatment tank is E (t)= 2000 +650cos (pit^2/10) gallons per hour, for 0 ?t ?6 hours. How many gallons of contamin

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