Suppose the rate of oil imports to the United States from a certain country can be approximated by r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8), where t is time in years since the start of 2000. During that time, the price of oil was approximately† p(t) = 25e0.1t dollars per barrel. Obtain an expression for the total oil revenue R(x) the country earned from the United States since the start of 2000 to the start of year x as a function of x
Suppose the rate of oil imports to the United States from a certain country can be approximated by r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8), where t is time in years since the start of 2000. During that time, the price of oil was approximately† p(t) = 25e0.1t dollars per barrel. Obtain an expression for the total oil revenue R(x) the country earned from the United States since the start of 2000 to the start of year x as a function of x
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose the rate of oil imports to the United States from a certain country can be approximated by
r(t) = −5t2 + 40t + 900 million barrels per year (0 ≤ t ≤ 8),
where t is time in years since the start of 2000. During that time, the price of oil was approximately†
p(t) = 25e0.1t dollars per barrel.
Obtain an expression for the total oil revenue
R(x)
the country earned from the United States since the start of 2000 to the start of year x as a function of x. (Do not simplify the answer.) HINT
[Rate of revenue = p(t)r(t).]
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