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 toxic chemicals per years is given by R ( t ) = 500 ( 1 + t ) 2 . In order to find total amount of toxic chemicals, its enough to integrate the expression R ( t ) = 500 ( 1 + t ) 2 over the interval [ 0 , ∞ ) . That is, ∫ 0 ∞ 500 ( 1 + t ) 2 d t . Compute the integral ∫ 0 ∞ 500 ( 1 + t ) 2 d t by using above definition and theorem

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ISBN: 9780135961438

Author: Barnett

Publisher: PEARSON CO

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differ…

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Chapter 11.1, Problem 69E

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To find: The total amount of toxic chemicals that seep from the dump.

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Chapter 11.1, Problem 68E

Chapter 11.1, Problem 70E

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Chapter 11 Solutions

EP CALCULUS FOR BUSINESS..-MYLAB ACCESS

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 amount of toxic chemicals that seep from the dump.

Solution Summary: The author explains that the total amount of toxic chemicals seeped from the dump is 500 gallons. If F is anti-derivative of f, it is converges otherwise diverges.

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To find: The total amount of toxic chemicals that seep from the dump.

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Chapter 11 Solutions