Review for Test 2

Answer Key
Testname: REVIEW 2
18) local maximum at x = -3; local minimum at x = - 4 3
19) no local extrema
20) no local extrema
21) local minimum at x = -2; local maximum at x = 4
22) (1, ∞)
23) (-∞, 4)
24) (-∞, 8)
25) (0, ∞)
26) s = 10t2 + 11t + 11
27) 5 3
28)
Critical Pt. derivative Extremum Value
0 min 0
x = 0
undefined min 0
x = 25
x = 20 0 local max 400 5
29) Local maximum at (0, 1), local minimum at (2, -3).
30) Local maximum at (0, -1).
31) The minimum value is - 5 2 at x = -1. The maximum value is 5 at x = 1.
2
32) The minimum value is 0 at x = -1.
33) None
34) x = -2 and x = 2
35) x = 0 and x = 2
36) x = 0, x = -2, and x = 2
37) x = -8
38) x = 4
39) x = 0 and x = 4
40) absolute maximum is 45 at x = -27 ; absolute minimum is 0 at x = 0
41)
8
y
4
-8 -4 4 8
x
-4
-8
42) 5 ft × 5 ft × 2.5 ft
43) 165 units
44) 7 3 t 3 + t 2
10 + C