Explanation Given: The number of passengers cars, C = f ( t ) , in millions, in the US in the year t t 1975 1980 1985 1990 1995 2000 2005 C 106.7 121.6 127.9 133.7 128.4 133.6 136.6 Calculation: In the given table, The value of C is increasing as time increasing from 1975-1990 increasing To determine (b) To f ' ( t ) and f ' ' ( t ) be positive or negative. To determine (c) To f ' ( t ) and f ' ' ( t ) be positive or negative.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 2.4, Problem 20P

To determine

(a)

To f'(t) and f''(t) be positive or negative.

To determine

(b)

To f'(t) and f''(t) be positive or negative.

To determine

(c)

To f'(t) and f''(t) be positive or negative.

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Chapter 2.4, Problem 19P

Chapter 2.4, Problem 21P

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Chapter 2 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To f ' ( t ) and f ' ' ( t ) be positive or negative.

Solution Summary: The author explains that the value of C is increasing as time increases from 1975-1990. The derivative of C=f(t) is positive.

Concept explainers

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(a)

To f'(t) and f''(t) be positive or negative.

(b)

To f'(t) and f''(t) be positive or negative.

(c)

To f'(t) and f''(t) be positive or negative.

Want to see the full answer?

Chapter 2 Solutions

(a) To f ' ( t ) and f ' ' ( t ) be positive or negative.

Solution Summary: The author explains that the value of C is increasing as time increases from 1975-1990. The derivative of C=f(t) is positive.

Concept explainers

Videos

(a) To f'(t) and f''(t) be positive or negative.

(b) To f'(t) and f''(t) be positive or negative.

(c) To f'(t) and f''(t) be positive or negative.

Want to see the full answer?

Chapter 2 Solutions

(a)

To f'(t) and f''(t) be positive or negative.

(b)

To f'(t) and f''(t) be positive or negative.

(c)

To f'(t) and f''(t) be positive or negative.