Mathematics, 24.02.2020 21:27 briarkaltvedt

Circle City, a typical metropolis, is densely populated near its center, and its population gradually thins out toward the city limits. In fact, its population density is 10,000(3-r) people/square mile at distance miles from the center.
(a) Assuming that the population density at the city limit is zero, find the radius of the city.
(b) What is the total population of the city?

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