Supplemental Problems

1a.) increasing on $(-1, \infty)$ and decreasing on $(-\infty, -1)$

1b.) increasing on $(1, 4) \cup (4, \infty)$; decreasing on (0, 1)

2a.) concave up on $(-\infty, 2) \cup (4, \infty)$; concave down on $(2, 3) \cup (3, 4)$

2b.) concave up on $(2, \infty)$; concave down on $(\frac{1 + \sqrt{5}}{2}, 2)$

4.4:
8.) 8 days
20a.) 24.9 days (b) 57.5%

5.1:
44.) $f(x) = \frac{-3cos(8x) + 27}{8}$

46.) $f(x) = -3e^{-x} + 9$

54.) $s(t) = -t^3 + \frac{7}{2} t^2 + 10t + 20$