<PRE><B>Question 1042924</B>
 Ten goats were set loose in an island and their population growth can be approximated by the function:
p(t)=greatest integer function of [60(t+1)] / (t+6) 
where p represents the goat population in year t since they were set loose.
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a)how many goats there will be in 5 years?
p(5) = [60(5+1)]/(6+6) = [360]/12 = [30] = 30
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b)what is the maximum goat population that the island can support?
As t goes to +oo, p(t) goes to 60t/t = 60
That is the horizontal asymptote and the answer.
Cheers,
Stan H.
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