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For each of the following initial conditions will p

Question: A population satisfies dP/dt = 0.025P - 0.00005P².

(a) What are the equilibrium values for P?

(b) For each of the following initial conditions, will P increase, decrease, or stay the same? Will the population increase or decrease without bound or to a limiting value? If to a limiting value, what is it?

(a) P₀ = 100

(b) P₀ = 400

(d) P₀ = 800

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