# Math 112 Solutions for 2.9, p. 195

2.
is the rate of change of population growth rate as a function of average per capita wage, in people per thousand per dollars per year. is the rate of change of average per capita wage as a function of mine production rate, measured in dollars per year per tons per year. is the rate of change of population growth rate as a function of mine production rate, measured in people per thousand per tons per year.
3.
(b) . (c) . (d) . (f) . (g) . (h) . (j) . (k) . (l) .
4.
(b) . (d) . (f) . (l) .
5.
(c) . (f) .
6.
(a) (iv)
7.
If , let . Then .
8.
.
9.
-42
11.
0
15.
.
18.
If is an even function, then . Differentiating, we get , and is an odd function.

Jason Grout 2003-02-11