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Biocalculus Calculus for the Life Sciences
Animal survival and renewal An animal population currently has 7400 members and is reproducing at the rate $R(t)=2240+60 t$ 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 four years?
(b) How many new members are added during the next four years?
(c) Explain why the animal population four years from now is not the same as the sum of your answers from parts (a) and (b).