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Suppose the population density of a city is approximated by the model f(x, y) = 6000 e−0.01(x2+y2), x2+y2 ≤ 25, where x and y are measured in miles. Integrate the density function over the indicated circular region to approximate the population of the city. Round your answer to the nearest integer.

Suppose the population density of a city is approximated by the model f(x, y) = 6000 e−0.01(x2+y2), x2+y2 ≤ 25, where x and y are measured in miles. Integrate the density function over the indicated circular region to approximate the population of the city. Round your answer to the nearest integer.

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Suppose the population density of a city is approximated by the model f ( x , y ) = 6000 e − 0.01 ( x 2 + y 2 ) , x 2 + y 2 ≤ 25 , where x and y are measured in miles. Integrate the density function over the indicated circular region to approximate the population of the city. Round your answer to the nearest integer.

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