Find the number of rabbits present in the island initially, Mathematics

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Find the number of rabbits present in the island initially

A DOOMSDAY SITUATION The population of a certain breed of rabbits introduced into an isolated island is given by

where t is measured in months.

a. Find the number of rabbits present in the island initially (at t = 0).

b. Show that the population of rabbits is increasing without bound.

c. Sketch the graph of the function P. (Comment: This phenomenon is referred to as a doomsday situation.)

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