Explanation Given: Population of earth is given by: P ( t ) = P 0 e r t ….. (1) Where t is the time after the population is P 0 . Also, population is 5 billion in 1986 and 6 billion in 1999. Calculations: Let’s suppose that t = 0 in 1986. Then, P 0 = P ( 0 ) = 5 billion Now, in 1999 ( t = 1999 − 1986 = 13 ) population was 6 billion. Substitute P = 6 , P 0 = 5 and t = 13 in theequation (1), 6 = 5 e 13 r e 13 r = 6 5 Take natural log on both sides and use that ln ( e x ) = x ln ( e 13 r ) = ln ( 6 5 ) 13 r = ln ( 6 5 ) r = 1 13 ln ( 6 5 ) Substitute r = 1 1

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 2, Problem 96SP

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To find:time in which population will reach 40 billion.

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Chapter 2, Problem 95SP

Chapter 2, Problem 97SP

Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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time in which population will reach 40 billion.

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Chapter 2 Solutions