91Ó°ÊÓ

produce a table for \(t=0,1,2, \ldots, 5\) and graph the function \(N_{t}\) $$ N_{t}=(0.3)(0.9)^{t} $$

\(5-10\), give a formula for \(N(t), t=0,1,2, \ldots\), on the basis of the information provided. \(N_{0}=2\); population doubles every 20 minutes; one unit of time is 20 minutes

Determine the values of the sequence \(\left\\{a_{n}\right\\}\) for \(n=0,1,2, \ldots, 5\) $$ f(n)=\frac{1}{(1+n)^{2}} $$

give a formula for \(N(t), t=0,1,2, \ldots\), on the basis of the information provided. \(N_{0}=4\); population doubles every 40 minutes; one unit of time is 40 minutes

Assume that the population growth is described by the Beverton-Holt recruitment curve with growth parameter \(R\) and carrying capacity \(K .\) For the given values of \(R\) and \(K\), graph \(N_{t} / N_{t+1}\) as a function of \(N_{t}\) and find the recursion for the BevertonHolt recruitment curve. \(R=2, K=150\)

Determine the values of the sequence \(\left\\{a_{n}\right\\}\) for \(n=0,1,2, \ldots, 5\) $$ a_{n}=\frac{1}{\sqrt{n+1}} $$

Determine the values of the sequence \(\left\\{a_{n}\right\\}\) for \(n=0,1,2, \ldots, 5\) $$ f(n)=(n+1)^{2} $$

give a formula for \(N(t), t=0,1,2, \ldots\), on the basis of the information provided. \(N_{0}=1\); population doubles every 40 minutes; one unit of time is 80 minutes

give a formula for \(N(t), t=0,1,2, \ldots\), on the basis of the information provided. \(N_{0}=6\); population doubles every 40 minutes; one unit of time is 60 minutes

give a formula for \(N(t), t=0,1,2, \ldots\), on the basis of the information provided. . \(N_{0}=2\); population quadruples every 30 minutes; one unit of time is 15 minutes