(a) Explanation Given information: The number of people (in millions) with Alzheimer’s disease in the United States age 65 years and over is given by, N ( t ) = 0.00525 t 2 + 0.075 t + 4.7 Here, t is measured in decades, 0 ≤ t ≤ 4 , and t = 0 corresponds to 2010. Calculation: Here, t = 0 corresponds to 2010. Year 2030 comes 2030 − 2010 = 20 years or 2 decades after 2010. So, year 2030 is represented by t = 2 . Substitute 2 for t in N ( t ) = 0 (b) To determine The rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030. (c) To determine The rate at which rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to change in the period covered by the study.

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 3.5, Problem 32E

(a)

To determine

The projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030.

(b)

To determine

The rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030.

(c)

To determine

The rate at which rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to change in the period covered by the study.

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Chapter 3.5, Problem 31E

Chapter 3.5, Problem 33E

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Chapter 3 Solutions

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

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 projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030.

Solution Summary: The author calculates the projected number of people with Alzheimer's disease in the United States age 65 years and over in 2030.

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The projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030.

The rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030.

The rate at which rate of growth of the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to change in the period covered by the study.

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