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5. A model for the population growth of China is P(t) = -0.000788t3 +0.004312 + 7.24623t+ 1286.78 in year t, where t is measured

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5. A model for the population growth of China is P(t) = -0.000788t3 +0.004312 + 7.24623t+ 1286.78 in year t, where t is measured in years with t = 0 corresponding to the year 2000 and P(t) is measured in millions. (a) Show that the population of China is forecast to peak during 2057. (b) Find what the population of China will be when it peaks.

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