The average price (in cents) per gallon of unleaded gasoline in the U.S. can be approximated by

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The average price (in cents) per gallon of unleaded gasoline in the U.S. can be approximated by the function p(t) = 1.8841³ 1.8841³ 82.56t² + 1168t - - 5013, for 10 < t ≤ 19, where t is the number of years since 2000.

(a) Determine the interval(s) on which the price is increasing.
(b) Determine the interval(s) on which the price is decreasing.
(c) Find any relative extrema for the price of gasoline, as well as when they occurred.

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