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The Population Density R Miles from the Center of a City

Question 7

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The population density r miles from the center of a city is D(r)=ke0.5r2D ( r ) = k e ^ { - 0.5 r ^ { 2 } } people per square mile. If 300,000 people live within 5 miles from the center of the city, then k is 15,000.

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