Oil used to fuel productivity a study on worldwide oil use


Question: OIL USED TO FUEL PRODUCTIVITY A study on worldwide oil use was prepared for a major oil company. The study predicted that the amount of oil used to fuel productivity in a certain country is given by

f(t) = 1.5 + 1.8te-1.2t            (0 ≤ t ≤ 4)

where f(t) denotes the number of barrels per $1000 of economic output and t is measured in decades (t = 0 corresponds to 1965). Compute f'(0), f'(1), f'(2), and f'(3) and interpret your results.

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Mathematics: Oil used to fuel productivity a study on worldwide oil use
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