Explanation Definition used: Improper integral: “If f is continuous on [ a , ∞ ) , then ∫ a ∞ f ( x ) d x = lim b → ∞ ∫ a b f ( x ) d x . If it exists and finite, then it is converges otherwise diverges”. Theorem used: Fundamental Theorem: “Let f be a continuous function on [ a , b ] . If F is anti-derivative of f on [ a , b ] , then ∫ a b f ( x ) d x = F ( b ) − F ( a ) ”. Calculation: The rate of immigration into the country for t years is given by R ( t ) = 400 ( 5 + t ) 3 . Assume that the policy is applied indefinitely. In order to find total immigrants that comes under country policy, it is enough to integrate the expression R ( t ) = 400 ( 5 + t ) 3 over the interval [ 0 , ∞ ) . Total immigrants = ∫ 0 ∞ 400 ( 5 + t ) 3 d t = 400 lim b → ∞ ∫ 0 b

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ISBN: 9781323520192

Author: Pearson

Publisher: PEARSON C

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Chapter 11.1, Problem 71E

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To find: The total number of immigrants.

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Chapter 11.1, Problem 70E

Chapter 11.1, Problem 72E

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Chapter 11 Solutions

FIN 108 ISU LOOSE >IP<

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The total number of immigrants.

Solution Summary: The author explains how to find the total number of immigrants in the country for t years.

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