Using exploration data the management of an oil company estimates that over a period of 20 years oil can be pumped from a west texas oil field at a rate given by r(t) = 8t 4t 2 + 7 stone (ins278) – hw32 – clark – (52400) 2 where r(t) is the production rate (measured in hundreds of barrels per year) t years after pumping begins. determine the number of barrels that will be produced during the first 5 years of production.