Explanation Method used: Euler’s method: “Consider the differential equation d y d x = F ( x , y ) subject to the initial condition y ( x 0 ) = y 0 . To find an approximation of y ( b ) , where b is a number greater than x 0 and n is a positive integer, compute h = b − x 0 n , x 1 = x 0 + h , x 2 = x 0 + 2 h , x 3 = x 0 + 3 h ... x n = x 0 + n h = b and y 0 = y ( x 0 ) , y 1 = y 0 + h F ( x 0 , y 0 ) , ... , y n = y n − 1 + h F ( x n − 1 , y n − 1 ) . Then y n gives an approximation of the true value y ( b ) of the solution to the initial-value problem at x = b ”. Calculation: From the given information, it is observed that the growth rate of the nonfarm workforce in a certain country is given by the equation as R ( t ) = 5 e 1 ( t + 1 ) . It is given that, the percentage of the nonfarm workforce in the service industries is P ( 1 ) , where P is the solution of P ′ = 5 e 1 ( t + 1 ) with the initial condition P ( 0 ) = 30 . Here, t 0 = 0 , n = 10 and b = 1 . Substitute t 0 = 0 , n = 10 and b = 1 in h = b − t 0 n . h = 1 − 0 10 = 0.1 That is, the value of h is 0.1. Compute the value of t 1 , t 2 , t 3 , t 4 , t 5 , t 6 , t 7 , t 8 , t 9 and t 10 as follows. Substitute t 0 = 0 , and h = 0.1 in t 1 = t 0 + h . t 1 = 0 + 0.1 = 0.1 Substitute t 0 = 0 , and h = 0.1 in t 2 = t 0 + 2 h . t 2 = 0 + 2 ( 0.1 ) = 0.2 Substitute t 0 = 0 , and h = 0.1 in t 3 = t 0 + 3 h . t 3 = 0 + 3 ( 0.1 ) = 0.3 Substitute t 0 = 0 , and h = 0.1 in t 4 = t 0 + 4 h . t 4 = 0 + 4 ( 0.1 ) = 0.4 Substitute t 0 = 0 , and h = 0.1 in t 5 = t 0 + 5 h . t 5 = 0 + 5 ( 0.1 ) = 0.5 Substitute t 0 = 0 , and h = 0.1 in t 6 = t 0 + 6 h . t 6 = 0 + 6 ( 0.1 ) = 0.6 Substitute t 0 = 0 , and h = 0.1 in t 7 = t 0 + 7 h . t 7 = 0 + 7 ( 0.1 ) = 0.7 Substitute t 0 = 0 , and h = 0.1 in t 8 = t 0 + 8 h . t 8 = 0 + 8 ( 0.1 ) = 0.8 Substitute t 0 = 0 , and h = 0.1 in t 9 = t 0 + 9 h . t 9 = 0 + 9 ( 0.1 ) = 0.9 Substitute t 0 = 0 , and h = 0.1 in t 10 = t 0 + 10 h . t 10 = 0 + 10 ( 0.1 ) = 1 Consider the function as F ( t , P ) = 5 e 1 t + 1 , and P ( 0 ) = P 0 = 30 . Compute the value of P 0 , P 1 , P 2 , P 3 , P 4 , P 5 , P 6 , P 7 , P 8 , P 9 and P 10 at the points t 0 , t 1 , t 2 , t 3 , t 4 , t 5 , t 6 , t 7 , t 8 , t 9 and t 10 as listed in the below table

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 9.4, Problem 16E

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The percentage of the nonfarm workforce in the service industries.

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Chapter 9.4, Problem 15E

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Chapter 9 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 9.1 - Prob. 1CQ Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Prob. 3CQ Ch. 9.1 - Prob. 4CQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - SUPPLY AND DEMAND Let S(t) denote the supply of a...Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - AMOUNT OF GLUCOSE IN THE BLOODSTREAM Suppose...Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - GOMPERTZ GROWTH CURVE Suppose a quantity Q(t) does...Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.2 - Prob. 1CQ Ch. 9.2 - Prob. 2CQ Ch. 9.2 - Prob. 3CQ Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - In Exercises 116, solve the first-order...Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.3 - Prob. 1CQ Ch. 9.3 - Prob. 2CQ Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - NEWTONS LAW OF COOLING Newtons Law of Cooling...Ch. 9.3 - Prob. 9E Ch. 9.3 - EXPONENTAL DECAY A radioactive isotope with an...Ch. 9.3 - RADIOACTIVE DECAY If 4 g of a radioactive...Ch. 9.3 - LEARNING CURVES The American Court Reporter...Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Prob. 17E Ch. 9.3 - SINKING FUNDS The proprietor of Carson Hardware...Ch. 9.3 - Prob. 19E Ch. 9.3 - GROWTH OF A FRUIT FLY COLONY A biologist has...Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Von Bertalanffy Growth Model The von Bertalanffy...Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - MIXTURE PROBLEMS A tank initially contains 50 gal...Ch. 9.4 - Prob. 1CQ Ch. 9.4 - Prob. 2CQ Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 12E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9 - Prob. 1CRQ Ch. 9 - Prob. 2CRQ Ch. 9 - Prob. 3CRQ Ch. 9 - Prob. 4CRQ Ch. 9 - Prob. 5CRQ Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - RESALE VALUE OF A MACHINE The resale value of a...Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 1BM Ch. 9 - Prob. 2BM Ch. 9 - Prob. 3BM Ch. 9 - Prob. 4BM

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The percentage of the nonfarm workforce in the service industries.

Solution Summary: The author explains how the percentage of the nonfarm workforce in the service industries is underset_40.3772%.

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Chapter 9 Solutions