Explanation Given information: The world population in billions is approximately P = 7.4 e 0.0107 t where t is in years since 2016. The given expression is △ t = 1 . Calculation: From the given information, the world population in billions is approximately P = 7.4 e 0.0107 t where t is in years since 2016. So t = 0 represents the year 2016, Similarly for 2020 the corresponding value of t is t = 2020 − 2016 = 4 . So we have to estimate the relative rate of change of population The formula of relative rate of change can be written as f ' ( t ) f ( t ) ≈ 1 f ( t ) ( f ( t + △ t ) − f ( t ) △ t ) . We have estimate the relative rate of change of P = 7.4 e 0.0107 t at t = 4 . So, P = 7.4 e 0.0107 ( 4 ) = 7.4 e 0 To determine (b) To estimate: The relative rate of change of population in 2020. To determine (c) To estimate: The relative rate of change of population in 2020.

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Differential Equations

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Chapter 2.3, Problem 65P

To determine

(a)

To estimate:

The relative rate of change of population in 2020.

To determine

(b)

To estimate:

The relative rate of change of population in 2020.

To determine

(c)

To estimate:

The relative rate of change of population in 2020.

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Chapter 2.3, Problem 64P

Chapter 2.3, Problem 66P

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(a) To estimate: The relative rate of change of population in 2020.

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(a) To estimate: The relative rate of change of population in 2020.

(b) To estimate: The relative rate of change of population in 2020.

(c) To estimate: The relative rate of change of population in 2020.

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Chapter 2 Solutions

(a)

To estimate:

The relative rate of change of population in 2020.

(b)

To estimate:

The relative rate of change of population in 2020.

(c)

To estimate:

The relative rate of change of population in 2020.