K The population density of a city is given by P(x,y) = -20x² - 20y² + 200x +480y+ 190, where x and y are miles from the southwest corner of the city limits and P is the number of people per square mile. Find the maximum population density, and specify where it occurs. The maximum density is people per square mile at (x,y) = ☐

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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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K
The population density of a city is given by P(x,y) = -20x² - 20y² + 200x +480y+ 190, where x and y are miles from
the southwest corner of the city limits and P is the number of people per square mile. Find the maximum
population density, and specify where it occurs.
The maximum density is people per square mile at (x,y) = ☐
Transcribed Image Text:K The population density of a city is given by P(x,y) = -20x² - 20y² + 200x +480y+ 190, where x and y are miles from the southwest corner of the city limits and P is the number of people per square mile. Find the maximum population density, and specify where it occurs. The maximum density is people per square mile at (x,y) = ☐
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