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Calculus
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P = 140 when t = 3 and P = 100 when t = 1

(a) Find values for the parameters k and P0.
(b) State the initial quantity and the continuous percent rate of growth or decay.

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Population Growth When predicting population growth, demographers must consider birth and death rates as well as the net change caused by the difference between the rates of immigration and emigration. Let P be the population at time t and let N be the net increase per unit time resulting from the difference between immigration and emigration. So, the rate of growth of the population is given by

where N is constant. Solve this differential equation to find P as a function of time, when at time t = 0 the size of the population is P0.

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