Using data from the first 3 years of production as well as geological studies, the management of an oil company estimates that oil will be pumped from a producing field at a rate given by dQ/dt=100/(t+1)+5 0≤t≤20 where dQ/dt is the rate of production (in thousands of barrels per year) t years after pumping begins. a. How many total barrels of oil, Q(t), will the field produce the first t years if Q(0)=0? b. How many barrels will be produced the first 9 years?

Using data from the first 3 years of production as well as geological studies, the management of an oil company estimates that oil will be pumped from a producing field at a rate given by
dQ/dt=100/(t+1)+5 0≤t≤20

where dQ/dt is the rate of production (in thousands of barrels per year) t years after pumping begins.
a. How many total barrels of oil, Q(t), will the field produce the first t years if Q(0)=0?

b. How many barrels will be produced the first 9 years?

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