Explanation Given: The given statement is It is estimated that t years from now, the population of a certain suburban community is modelled by the formula p ( t ) = 20 − 6 t + 1 Where p ( t ) is in thousands of people A separate environmental study indicates that the average daily level of carbon monoxide in the air will be L ( p ) = 0.5 p 2 + p + 58 Ppm when the population is p thousand. Calculation: Differentiate L ( p ) with respect to the time and rewrite the equation d L d t = d L d p d p d t .... ( 1 ) Where, d L d p = 0.5 1 2 p 2 + p + 58 ( 2 p + 1 ) d L d p = 0.25 ( 2 p + 1 ) p 2 + p + 58 And d p d t = 6 ( t + 1 ) 2 Find the population of certain suburban community after 2 years p ( 2 ) = 20 − 6 2 + 1 p ( 2 ) = 18 From (1) find the rate at which the level of carbon monoxide will be changing with respect to time two years from now

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 3, Problem 61SP

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To find the rate at which the level of carbon monoxide will be changing with respect to time two years from now.

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Chapter 3, Problem 60SP

Chapter 3, Problem 62SP

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Chapter 3 Solutions

Calculus

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To find the rate at which the level of carbon monoxide will be changing with respect to time two years from now.

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To find the rate at which the level of carbon monoxide will be changing with respect to time two years from now.

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Chapter 3 Solutions