The number of individuals N in a population of a certain species is given by the following function of time, t:

N(t)= 100/(1+9e^-t), t>=0

a.)how many ppl are in the population initially(at t=0)

b.)determine the size ofa the populations as tgoes towards infiniti?

c. what is the growth rate of the pop. at time t? what is the growth rate at t=0?

1 answer

A 100/(1+9*1)=10
b lim as t->infinity is 100
c the growth rate at time 0 is 9
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