The rate of change of the average annual fuel consumption of passenger vehicles, buses, and trucks from 1970 through 2000 can be modeled as f(t) = 0.8t − 15.9 gallons per vehicle per year where t is the number of years since 1970. The average annual fuel consumption was 712 gallons per vehicle in 1980.† (a) Write the specific antiderivative giving the average annual fuel consumption. F(t) = gallons per vehicle (b) How is this specific antiderivative related to an accumulation function of f? The specific antiderivative in part (a) is the formula for the accumulation of f shifted up so that it is passing through the point
The rate of change of the average annual fuel consumption of passenger vehicles, buses, and trucks from 1970 through 2000 can be modeled as f(t) = 0.8t − 15.9 gallons per vehicle per year where t is the number of years since 1970. The average annual fuel consumption was 712 gallons per vehicle in 1980.† (a) Write the specific antiderivative giving the average annual fuel consumption. F(t) = gallons per vehicle (b) How is this specific antiderivative related to an accumulation function of f? The specific antiderivative in part (a) is the formula for the accumulation of f shifted up so that it is passing through the point
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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The rate of change of the average annual fuel consumption of passenger vehicles, buses, and trucks from 1970 through 2000 can be modeled as
f(t) = 0.8t − 15.9 gallons per vehicle per year
where t is the number of years since 1970. The average annual fuel consumption was 712 gallons per vehicle in 1980.†
(a) Write the specific antiderivative giving the average annual fuel consumption.
F(t) =
gallons per vehicle
(b) How is this specific antiderivative related to an accumulation function of f?
The specific antiderivative in part (a) is the formula for the accumulation of f shifted up so that it is passing through the point
(t, F(t)) =
.
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