Explanation Given information: In the spring of 2003 , SARS(severe acute respiratory syndrome) spread rapidly in several Asian countries. Below table is given for Hong Kong. Where P is the number of SARS reported and t is days since March 17, 2003. Calculation: Given information: In the spring of 2003 , SARS(severe acute respiratory syndrome) spread rapidly in several Asian countries. Below table is given for Hong Kong. Where P is the number of SARS reported and t is days since March 17, 2003. Average rate of change for each interval is calculated as below. t P Average rate of change Δ P Δ t 0 95 5 222 222 − 95 5 − 0 = 25.4 12 470 470 − 222 12 − 5 = 35.43 19 800 800 − 470 19 − 12 = 47.14 26 1108 1108 − 800 26 − 19 = 44 33 1358 1358 − 1108 33 − 26 = 35 To determine (b) The earliest date by which rate of spread started to slow. To determine (c) Why exponential model for P is not appropriate. To determine (d) The value of t at the inflection point. And the limiting value P . To determine (e) The limiting value P .

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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Exponential Growth Model

The relation that represents an exponential function is:

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Question

Chapter 4.7, Problem 11P

To determine

(a)

The average rate of change of P for each interval.

To determine

(b)

The earliest date by which rate of spread started to slow.

To determine

(c)

Why exponential model for P is not appropriate.

To determine

(d)

The value of t at the inflection point. And the limiting value P.

To determine

(e)

The limiting value P.

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Chapter 4.7, Problem 10P

Chapter 4.7, Problem 12P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

Ch. 4.1 - Prob. 11P Ch. 4.1 - Prob. 12P Ch. 4.1 - Prob. 13P Ch. 4.1 - Prob. 14P Ch. 4.1 - Prob. 15P Ch. 4.1 - Prob. 16P Ch. 4.1 - Prob. 17P Ch. 4.1 - Prob. 18P Ch. 4.1 - Prob. 19P Ch. 4.1 - Prob. 20P Ch. 4.1 - Prob. 21P Ch. 4.1 - Prob. 22P Ch. 4.1 - Prob. 23P Ch. 4.1 - Prob. 24P Ch. 4.1 - Prob. 25P Ch. 4.1 - Prob. 26P Ch. 4.1 - Prob. 27P Ch. 4.1 - Prob. 28P Ch. 4.1 - Prob. 29P Ch. 4.1 - Prob. 30P Ch. 4.1 - Prob. 31P Ch. 4.1 - Prob. 32P Ch. 4.1 - Prob. 33P Ch. 4.1 - Prob. 34P Ch. 4.1 - Prob. 35P Ch. 4.1 - Prob. 36P Ch. 4.1 - Prob. 37P Ch. 4.1 - Prob. 38P Ch. 4.1 - Prob. 39P Ch. 4.1 - Prob. 40P Ch. 4.1 - Prob. 41P Ch. 4.1 - Prob. 42P Ch. 4.1 - Prob. 43P Ch. 4.1 - Prob. 44P Ch. 4.1 - Prob. 45P Ch. 4.1 - Prob. 46P Ch. 4.1 - Prob. 47P Ch. 4.1 - Prob. 48P Ch. 4.1 - Prob. 49P Ch. 4.1 - Prob. 50P Ch. 4.1 - Prob. 51P Ch. 4.1 - Prob. 52P Ch. 4.1 - Prob. 53P Ch. 4.1 - Prob. 54P Ch. 4.1 - Prob. 55P Ch. 4.1 - Prob. 56P Ch. 4.1 - Prob. 57P Ch. 4.1 - Prob. 58P Ch. 4.2 - Prob. 1P Ch. 4.2 - Prob. 2P Ch. 4.2 - 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