A model for the flow rate of water at a pumping station on a given day is R(t)=53+7sin( (pi*t)/6+3. 6 ) + 9cos( (pi*t/12)+8. 9 )

Where 0 <= t <= 24. R is the flow rate in thousands of gallons per hour, and t is the time in hours.

Find the maximum flow rate at the pumping station.

Please show your step by step calculation. Thank you



Answer :