[0/4.76 Points] DETAILS MY NOTES LARCALC12 14.3.055.MI. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER The population density of a city is approximated by the model f(x, y) = 4,000e-0.01(x² + y²) for the region 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 whole number.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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DETAILS
MY NOTES
LARCALC12 14.3.055.MI. PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
The population density of a city is approximated by the model
f(x, y) = 4,000e-0.01(x² + y²)
for the region 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 whole number.)
Transcribed Image Text:[0/4.76 Points] DETAILS MY NOTES LARCALC12 14.3.055.MI. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER The population density of a city is approximated by the model f(x, y) = 4,000e-0.01(x² + y²) for the region 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 whole number.)
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