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Mathematics, 16.07.2021 18:20 rachelsweeney10

Let p denote the population of the United States (in millions) in the year t, and assume that p is defined implicitly as a function of t by the equation
0 = ln p + 45.8177 − ln (2225 − 4.2381p) − 0.02225t.
Use implicit differentiation to show that the rate of change of p with respect
to t satisfies the equation:
dp
dt = 10−5p(2225 − 4.238p).


Let p denote the population of the United States (in millions) in the year

t, and assume that p i

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