Estimate when the rabbit population grew most rapidly

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Reference no: EM131603996

Question: The rabbit population on a small Pacific island is approximated by

P = 2000/! + e5.3 - 0.4t

with t measured in years since 1774, when Captain James Cook left 10 rabbits on the island.

(a) Graph P. Does the population level off?

(b) Estimate when the rabbit population grew most rapidly. How large was the population at that time?

(c) What natural causes could lead to the shape of the graph of P?

Reference no: EM131603996

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