Mathematics

Mathematics

Problem

Two cities, A and B, each have a population that satisfies the same carrying capacity of 500500 people but different growth parameters. City A: dydt=0.03 y (500−y)\dfrac{dy}{dt}=0.03\,y\,(500-y) City B: dydt=0.06 y (500−y)\dfrac{dy}{dt}=0.06\,y\,(500-y) If both cities currently have 200200 residents, which statement best describes their present growth rates? a) City A is growing faster than City B. b) Both cities are currently growing at the same rate. c) City B is growing faster than City A. d) Neither city is currently growing because the growth rate is zero for both.

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