Question
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.
P(t)=120t−0.4t4+700
where t is the time (in months) since observations of the island began.
Answers
Steve
in the words of Larry King, "What's the question?"
Damon
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
dP/dt = 0 at max = 120 -1.6 t^3
t^3 = 120
t = 4.93 months
Steve
I guess the foxes were factored in when calculating the <b>surviving</b> rabbit population, eh?