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(a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons |f(t) gallons 700- 700 600 44 10 600 \1982 13 1982 2000 13 1.5 1990 1995 2000 15 1.5 t years 16 1990 1995 t years /19 18 500 since 1970 500 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700- 600- 600- - 40 1982 \1982 5 2000 28 2000 44 1990 1995 1990 1995 5 16 -3 13 8. t years t years 500 500- siņce 1970 siņce 1970 10 20 30 10 20 30 1982 f'(12) X gallons per year 1990 f'(20) = gallons per year 1995 f'(25) = gallons per year 2000 f'(30) gallons per year (b) Use the information in part (a) to sketch a rate-of-change graph for the average annual fuel consumption. 가f(t) gallons 가f(t) gallons per year per year 10 30 10 20 30 t years t years since 1970 since 1970 -7 -7 o-23 o-23 23 |f'(t) gallons 23 f'(t) gallons per year per year 가 10 20 30 t years -가 since 1970 10 20 30 t years since 1970 0-가

(a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons |f(t) gallons 700- 700 600 44 10 600 \1982 13 1982 2000 13 1.5 1990 1995 2000 15 1.5 t years 16 1990 1995 t years /19 18 500 since 1970 500 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700- 600- 600- - 40 1982 \1982 5 2000 28 2000 44 1990 1995 1990 1995 5 16 -3 13 8. t years t years 500 500- siņce 1970 siņce 1970 10 20 30 10 20 30 1982 f'(12) X gallons per year 1990 f'(20) = gallons per year 1995 f'(25) = gallons per year 2000 f'(30) gallons per year (b) Use the information in part (a) to sketch a rate-of-change graph for the average annual fuel consumption. 가f(t) gallons 가f(t) gallons per year per year 10 30 10 20 30 t years t years since 1970 since 1970 -7 -7 o-23 o-23 23 |f'(t) gallons 23 f'(t) gallons per year per year 가 10 20 30 t years -가 since 1970 10 20 30 t years since 1970 0-가

Calculus: Early Transcendentals
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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(a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons |f(t) gallons 700- 700 600 44 10 600 \1982 13 1982 2000 13 1.5 1990 1995 2000 15 1.5 t years 16 1990 1995 t years /19 18 500 since 1970 500 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700- 600- 600- - 40 1982 \1982 5 2000 28 2000 44 1990 1995 1990 1995 5 16 -3 13 8. t years t years 500 500- siņce 1970 siņce 1970 10 20 30 10 20 30 1982 f'(12) X gallons per year 1990 f'(20) = gallons per year 1995 f'(25) = gallons per year 2000 f'(30) gallons per year
Transcribed Image Text:(a) Draw tangent lines for 1982, 1990, 1995, and 2000. Estimate their slopes. Record the slopes. f(t) gallons |f(t) gallons 700- 700 600 44 10 600 \1982 13 1982 2000 13 1.5 1990 1995 2000 15 1.5 t years 16 1990 1995 t years /19 18 500 since 1970 500 since 1970 10 20 30 10 20 30 f(t) gallons f(t) gallons 700 700- 600- 600- - 40 1982 \1982 5 2000 28 2000 44 1990 1995 1990 1995 5 16 -3 13 8. t years t years 500 500- siņce 1970 siņce 1970 10 20 30 10 20 30 1982 f'(12) X gallons per year 1990 f'(20) = gallons per year 1995 f'(25) = gallons per year 2000 f'(30) gallons per year
(b) Use the information in part (a) to sketch a rate-of-change graph for the average annual fuel consumption. 가f(t) gallons 가f(t) gallons per year per year 10 30 10 20 30 t years t years since 1970 since 1970 -7 -7 o-23 o-23 23 |f'(t) gallons 23 f'(t) gallons per year per year 가 10 20 30 t years -가 since 1970 10 20 30 t years since 1970 0-가
Transcribed Image Text:(b) Use the information in part (a) to sketch a rate-of-change graph for the average annual fuel consumption. 가f(t) gallons 가f(t) gallons per year per year 10 30 10 20 30 t years t years since 1970 since 1970 -7 -7 o-23 o-23 23 |f'(t) gallons 23 f'(t) gallons per year per year 가 10 20 30 t years -가 since 1970 10 20 30 t years since 1970 0-가
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