Conservation Science—Population Analysis: Suppose that conservationists wish to repopulate...

Conservation Science—Population Analysis: Suppose that conservationists wish to repopulate a rare breed of lizard by transporting a seed colony to a wildlife preserve. They estimate that the protected lizard population will grow according to the logistics model

where t represents the number of years since the seeding and f(t) represents the lizard population.

(a) What was the initial size of the seed colony?

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(b) According to the model, what will the lizard population be in 8 years?

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(c) As time goes on, what is the projected population of the lizards in the colony?