With data from the us department of energy the number of, Mathematics

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With data from the us department of energy the number of

Question: With data from the U.S. Department of Energy, the number of billions of barrels of U.S. crude oil produced each year from 2010 and projected to 2030 can be modeled by the function

f(t) = -0.001t² + 0.037t + 1.94

where t is the number of years past 2010.

(a) Find the total number of barrels of oil produced from 2010 to 2020.

(b) Find the average number of barrels produced per year from 2010 to 2018.

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