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Mathematics, 01.12.2020 16:20 cookiemonster0476

As the population of a circular city grows, its radius increases. Let r = f(p) be the radius of the city, in meters, when its population is p thousand people. Suppose that it is known that f(50) = 3400 and f'(50) = 33. (a) How do you give a complete sentence interpretation of the statement f(50) = 3400 in the context of this problem. (b) How do you give a complete sentence interpretation of the statement f'(50) = 33 in the context of this problem. (c) How do you use the given information to estimate the radius of the city when its population is 52.5 thousand. How do you show enough work so that your reasoning is clear, including units

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As the population of a circular city grows, its radius increases. Let r = f(p) be the radius of the...

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