- 3.
- .
- 5.
- about 10.58 days.
- 6.
- . weeks.
- 7.
- years.
- 8.
- (a) moles. (b) about 218.9 million years.
- 11.
- minutes.
- 13.
- (b)
. (c) The
graph of is increasing where
is positive, concave upward
where
is increasing, and concave downward where
is
decreasing. Thus the graph of is
always increasing, concave upward between and
, and
concave downward between
and .
- 15.
- Use , , and the condition when
. When , 99.98%.
- 16.
- hours.
- 17.
- The rate of increase begins to decrease between 1983 and 1984, so half capacity is about 1900, making the carrying capacity about 3800.
- 18.
- (a) . (b) . (c) . (d) . (e) ... an essay summarizing (a) - (d)...
- 19.
- (a) F. (b) Using the same , F. (c) about 35.12 minutes.
- 20.
- (a) Show that , so that is constant; find .
(b) Show that , so that is constant; then show that . The sum of squares is zero only if each square is zero.