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An animal population currently has 7400 members and is reproducing at the rate R(t) = 2290...

An animal population currently has 7400 members and is reproducing at the rate R(t) = 2290 + 40t members/year. The proportion of members that survive after t years is given by S(t) = 1/(t + 1)

(a) How many of the original members survive 4 years?

(b) How many new members are added during the next 4 years?

(c) Explain why the animal population 4 years from now is not the same as the sum of your answers from parts (a) and (b)

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