- 1.
- (a) 8; 14.4; 15.84. (b) about 16.
(c) -32 ft/sec, -24 ft/sec, -17.6 ft/sec, -16.8 ft/sec

(d) about -16 ft/sec (e) The negative sign indicates motion downward.

- 2.
- (a)19.67; 19.74; 19.79. (b) about 19.8.
- 4.
- $96.58 per year, $94.67 per year, $93.18 per year. At
, the rate of change is about $92.81 per year, which is about
7.92% of .
, so
this is compounding 4 times per year at 8%.
- 5.
- (a) 25.66, 36.8; 3.47, 4.98; 0.47, 0.67. (b) about 40; about 6;
about 1. [Actual: 40.6, 5.49, 0.74.] (c) The velocity will approach 150 and
acceleration will approach 0.
- 8.
- The slope at is about -1. No tangent line exists at 1 or
at -1.
- 9.
- The slope at is about -2. No tangent line exists at -1
or at 2.
- 12.
- (a) 8.1, 25.5, and 16.8 people per year. The last is indeed
the average of the first two.
(c) about 16.8 people per year (using the average growth rate over [1960, 1980]).

(d) 1980: Use the average for [1970, 1990], which is 31.6 people per year.

1990: Use the average for [1980, 2000], which is 49.25 people per year.

- 13.
- If , then if and only if . Hence the
result, upon substitution.
- 14.
- If , then and if and only if . Hence, by substitution,
.
- 16.
- (a) The slope of is , which is the rate of
change.
(b) .