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The Population Density (In People Per Square Mile) for a Coastal

question 26

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The population density (in people per square mile) for a coastal town can be modeled by f(x,y) =110,000(2+x+y) 3f ( x , y ) = \frac { 110,000 } { ( 2 + x + y ) ^ { 3 } } where x and y are measured in miles. What is the population inside the rectangular area defined by the vertices (0,0) ,(2,0) ,(0,2) ,( 0,0 ) , ( 2,0 ) , ( 0,2 ) , and (2,2) ( 2,2 ) ? Round to the nearest integer.

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