Explanation Given information: The number of infected children, I, was, expressed in terms of the number of susceptible children, S, by the function I = 192 ln ( S 762 ) − S + 763 Fact used: If f ' changes from negative to positive at p, then f has a local minimum at p. f ' changes from positive to negative at p, then f has a local maximum at p. Calculation: I = 192 ln ( S 762 ) − S + 763 (Given) Differentiating with respect to ‘S’, we get I ' = 192 1 ( S 762 ) ( 1 762 ) − 1 = 192 S − 1 = 192 − S S To find the critical points of I, set I ' = 0 ⇒

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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Chapter 4.3, Problem 54P

To determine

To find:

The maximum possible number of infected children.

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Chapter 4.3, Problem 53P

Chapter 4.3, Problem 55P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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The maximum possible number of infected children.

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To find: The maximum possible number of infected children.

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Chapter 4 Solutions

To find:

The maximum possible number of infected children.