D.9. CHAPTER 9
Exercise 1
1. (2, −1)
3. (1, 2)
5. (−0.24, 0.90)
7. (3, 5)
9.
11. (−3, 3)
13. (1, 2)
15. (3, 2)
17. (15, 6)
19. (3, 4)
21. (2, 3)
23. (−3, 5)
25. (1.63, 0.0970)
27. m = 2, n = 3 29. w = 6, z = 1
31. (9.36, 4.69)
33. v = 1.06, w = 2.58
Exercise 2
1. (a) 9.85mi/h (b) 4.27 mi/h
3. 5.3 mi/h and 1.3 mi/h
5. $2500 at 4%
7. $2684 at 6.2% and $1716 at 9.7%
9. $ 6000 for 2 years
11. 2740 lb mixture; 271 lb sand
13. 5.57 lb peat; 11.6 lb vermiculite
15. T1 = 490 lb; T2 = 185 lb
17. Carpenter: 25.0 days; helper: 37.5 days
19. 18,000 gal/h and 12,000 gal/h
21. 92,700 people and 162,000 people
23. l1 = 13.1 mA; l2 = 22.4 mA
25. R1 = 27.6 Ω; α = 0.00511
27. h = 352 ft; d = 899 ft
29. v0 = 0.381 cm/s; a = 3.62 cm/s2
Exercise 3
1. (60, 36)
3. (87/7, 108/7)
5. (15, 12)
7. m = 4, n = 3
9. r = 3.77, s = 1.23
11. (1/2, 1/3)
Exercise 4
1. (15, 20, 25)
3. (1, 2, 3)
5. (5, 6, 7)
7. (1, 2, 3)
9. (3, 4, 5)
11. a = −3, b = 4, c = −3/2
13. (3, 6, 9)
15. (2, −1, 5)
17. (3a, 2a, a)
19. (c, c, ab/c)
21. 2/3A, 7/3A, 2/3A
23. F1 = 9890 lb, F2 = 9860 lb, F3 = 9360 lb
Review Problems
1. (3, 5)
3. (5, −2)
5. (2, −1, 1)
7.
9. (8, 10)
11. (2, 3)
13. [(a + b − c)/2, (a − b + c)/2, (b − a + c)/2]
15. (7, 5) 17. (1, −5, −4)
19. (2, 3, 1)
21. (13, 17)
23. $450 ...
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