Population density of a City The population density (number of people per square mile) of a certain city is given by the function  f(x,y)=50,000|xy|/ (x^2+20)(y^2+36) where the origin (0,0) gives the location of the government center. Find the population insists the rectangular area described by: R={(x,y)| -13 ≤ x ≤ 13; -12 ≤ y ≤ 12} (Give your answer correct to the nearest integer)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.4: Solving Quadratic Equations
Problem 93E
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Population density of a City The population density (number of people per square mile) of a certain city is given by the function 

f(x,y)=50,000|xy|/ (x^2+20)(y^2+36)

where the origin (0,0) gives the location of the government center. Find the population insists the rectangular area described by: R={(x,y)| -13 ≤ x ≤ 13; -12 ≤ y ≤ 12}

(Give your answer correct to the nearest integer) 

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