(a) Explanation If the population is increasing then the sign of f ′ ( t ) is positive i.e. f ′ ( t ) > 0 on the interval ( a , b ) and the popula (b) To determine The sign of f ′ ( t ) and f ″ ( t ) if the population is decreasing at a constant rate over ( a , b ) . (c) To determine The sign of f ′ ( t ) and f ″ ( t ) if the population is constant over ( a , b ) .

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Question

Chapter 3.5, Problem 4CQ

(a)

To determine

The sign of f′(t) and f″(t) if the population is increasing at a constant rate over (a,b) .

(b)

To determine

The sign of f′(t) and f″(t) if the population is decreasing at a constant rate over (a,b) .

(c)

To determine

The sign of f′(t) and f″(t) if the population is constant over (a,b) .

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Chapter 3.5, Problem 3CQ

Chapter 3.5, Problem 1E

Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The sign of f ′ ( t ) and f ″ ( t ) if the population is increasing at a constant rate over ( a , b ) .

Solution Summary: The author compares the sign of fprime '(t)' and a number of other variables, such as if the population is increasing or decreasing.

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The sign of f′(t) and f″(t) if the population is increasing at a constant rate over (a,b) .

The sign of f′(t) and f″(t) if the population is decreasing at a constant rate over (a,b) .

The sign of f′(t) and f″(t) if the population is constant over (a,b) .

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Chapter 3 Solutions