Explanation Given information: The function for the population density is f ( x , y ) = 100 ( y + 1 ) . Calculation: The integral limits are x = 2 y − y 2 , x = y 2 , y = 0 , and y = 1 . Determine the total population of bacteria using double integration . N = ∫ 0 1 ∫ y 2 2 y − y 2 f ( x , y ) d x d y Substitute 100 ( y + 1 ) for f ( x , y ) . N = ∫ 0 1 ∫ y 2 2 y − y 2 100 ( y + 1 ) d x d y = ∫ 0 1 100 ( y + 1 )

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ISBN: 9780134175706

Author: Unknown

Publisher: PEARSON

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Chapter 14.3, Problem 26E

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Calculate the number of people in the region bounded by the given curves x=y2 and x=2y−y2.

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Chapter 14.3, Problem 25E

Chapter 14.3, Problem 27E

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Chapter 14 Solutions

University Calculus

Ch. 14.1 - In Exercises 1-14. evaluate the iterated...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - Prob. 10E

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Calculate the number of people in the region bounded by the given curves x = y 2 and x = 2 y − y 2 .

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Calculate the number of people in the region bounded by the given curves x=y2 and x=2y−y2.

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Chapter 14 Solutions