(a) Explanation Given: The number of deaths due to stroke per 100,000 people from 1950 through 2010 is given by, N ( t ) = 130.7 e − 0.1155 t 2 + 50 ( 0 ≤ t ≤ 6 ) (1) Where t is measured in decades, with t = 0 corresponding to 1950. Calculation : Since t = 0 corresponds to 1950, substitute 0 for t in equation (1), N ( 0 ) = 130 (b) To determine The rate at which number of deaths due to strokes per 100,000 people changes in 1950, 1960, 1970 and 1980. (c) To determine The time when the rate of decline in the number of deaths due to strokes per 100,000 people is greatest. (d) To determine The number of deaths due to strokes per 100,000 people in 2010.

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 5.4, Problem 68E

(a)

To determine

The number of deaths due to strokes per 100,000 people in 1950.

(b)

To determine

The rate at which number of deaths due to strokes per 100,000 people changes in 1950, 1960, 1970 and 1980.

(c)

To determine

The time when the rate of decline in the number of deaths due to strokes per 100,000 people is greatest.

(d)

To determine

The number of deaths due to strokes per 100,000 people in 2010.

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Chapter 5.4, Problem 67E

Chapter 5.4, Problem 69E

Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

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The number of deaths due to strokes per 100,000 people in 1950.

Solution Summary: The author calculates the number of deaths due to strokes per 100,000 people from 1950 through 2010 by substituting 0 for t in the equation.

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The number of deaths due to strokes per 100,000 people in 1950.

The rate at which number of deaths due to strokes per 100,000 people changes in 1950, 1960, 1970 and 1980.

The time when the rate of decline in the number of deaths due to strokes per 100,000 people is greatest.

The number of deaths due to strokes per 100,000 people in 2010.

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