Explanation Given: The rate of infection of a disease (in people per month) is given by the function: I ' ( t ) = 100 t t 2 + 2 Where t is the time in months since the disease broke out. Formula used: F(x)= ∫ a b f ( x ) d x Calculation: Since time varies from zero to four months. So, integrate the provided equation on both sides. I ' ( t ) = 100 t t 2 + 2 ∫ I ' ( t ) d t = ∫ 100 t t 2 + 2 d t ∫ d ( I ( t ) ) d t × d t = ∫ 100 t t 2 + 2 d t I ( t ) = ∫ 100 t t 2 + 2 d t Now, evaluate the definite integral from zero to four months

12th Edition

ISBN: 9780134776323

Author: MULLINS

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 13, Problem 75RE

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To calculate: Total number of infected people over the first four months of disease.

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Chapter 13, Problem 68RE

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