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December 20, 2014

Homework Help: Math - Derivative of a polynomial function(check)

Posted by Anonymous on Saturday, October 16, 2010 at 6:43am.

The red squirrel population, p, in a neighborhood park can be modelled by the function p(t)= srqt(210t+44t^2), where t is time in year.
a) Determine the rate of growth of the squirrel population at t= 2years
Ans: find the 1st derivative and substitute 2 in the function.

b) When will the population reach 60 sqirrels
Ans: set p(t) = 60

c) What is the instantaneous rate of change of the population at the time in part b)?
Ans: the time obtained in b, substitute that into the 1st derivative.

d) When is the instantaneous rate of the squirrel population approximately 7squirrels per year?
Ans: set the first derivative p'(t) = 7

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