The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y<), x² + y² < 49, 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.)

The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y<), x² + y² < 49, 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.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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