A population grows according to the logistic growth model, with growth parameter r = 1.8. Starting with an initial population given by $p_0$ = 0.6, complete parts (a) and (b).
(a) Find the values of $p_1$ through $p_{10}$.
$p_1$ = $oxed{ }$, $p_2$ = $oxed{ }$, $p_3$ = $oxed{ }$
$p_6$ = $oxed{ }$, $p_7$ = $oxed{ }$, $p_8$ = $oxed{ }$
$p_4$ = $oxed{ }$, $p_5$ = $oxed{ }$
$p_9$ = $oxed{ }$, $p_{10}$ = $oxed{ }$
(Round to four decimal places as needed.)
(b) What does the logistic model predict in the long term for this population?
A. The population settles into a two-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17% and 44.43%.
B. It stabilizes at about 44.44% of the habitat's carrying capacity.
C. The species will become extinct.
D. The population settles into a four-period cycle with the following approximate percentages of the habitat's carrying capacity: 44.17%, 44.43%, 43.20%, 44.44%.