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Suppose a population P(t) satisfies dP = 0.5P - 0.001P Suppose a population P(t) satisfies _ 0.001P2 P(O) - 50 dt where t is measured

Suppose a population P(t) satisfies dP = 0.5P - 0.001P

Suppose a population P(t) satisfies _ 0.001P2 P(O) - 50 dt where t is measured in years. (a) (c) What is the carrying capacity? What is P'(O)? When will the population reach 50% of the carrying capacity? (Round your answer to two decimal places.) yr

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