# calculus

The rabbit population on a small island is observed to be given by the function
P(t)=120t−0.4t4+700

where t is the time (in months) since observations of the island began.

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1. in the words of Larry King, "What's the question?"

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2. I bet we want the maximum, but usually the foxes are included in these island problems.

dP/dt = 0 at max = 120 -1.6 t^3

t^3 = 120
t = 4.93 months

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3. I guess the foxes were factored in when calculating the surviving rabbit population, eh?

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