Using production and geological data, the management of an oil company estimates that oil will be pumped from a field producing at a rate given by

where R(t) is the rate of production (in thousands of barrels per year) t years after pumping begins. How many barrels of oil Q(t) will the field produce in the first t years if Q(0) = 0? How many barrels will be produced in the first 9 years?

Transcribed Image Text:

100 + 5 t + 1 R(1) 0 st< 20