[Solution Library] Energy: The consumption S (in quadrillions of Btu) of petroleum in the United States increased steadily between 1985 and 1999. The rate


Question: Energy: The consumption S (in quadrillions of Btu) of petroleum in the United States increased steadily between 1985 and 1999. The rate of increase can be modeled by

\(\frac{d S}{d t}=0.01395 t^{2}-0.319 t+2.08, \quad 5 \leq t \leq 19\)

where t = 5 represents 1985. In 1985, the consumption was 30.9 quadrillion Btu. Find a model for the consumption from 1985 through 1999 and determine the consumption in 1999.

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