At any time, t, a population, P(t), is growing at a rate proportional to the population
Chapter 0, Problem 111(choose chapter or problem)
At any time, t, a population, P(t), is growing at a rate proportional to the population at that moment. (a) Using derivatives, write an equation representing the growth of the population. Let k be the constant of proportionality. (b) Show that the function P(t) = Aekt satisfies the equation in part (a) for any constant A.
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