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Question

From the beginning of the year 2000, the annual world demand for oil has increased. To account for this increased demand, the rate at which oil is produced is ^0.05tbillions of barrels per year where  is the number of years since the beginning 2000.

[A] How much oil was produced between the beginning of year 2000 through 2011?              billions of barrels  

[B] In how many years from the beginning of the year 2000 will it take for the oil reserves to be depleted if there is an estimated total of 1,100 billions of barrels of oil available.               years  

Answer 1

[A} Area under curve D(t) from 0 to 11.

[B} Area under curve D(t) from 0 to x = 1,100