The moose population on a small island is observed to be given by the function

where $t$ is the time (in months) since observations of the island began.

Note: you can get a larger view of the graph by clicking on it

(a) The maximum population attained at

$t =$ months.

The maximum population is

$P(t) =$ moose.

(b) When does the moose population disappear from the island?

$t =$ months