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Solutions for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition Haeussler (All Chapters included)
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Complete Solutions Manual for Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences, 14th Edition by Ernest F. Haeussler, Richard S. Paul, Richard J. Wood ; ISBN13: 9780136963264. (Full Chapters included Chapter 0 to 17)....0.Review of Algebra
1.Applications a...
INSTRUCTOR’S SOLUTIONS
MANUAL
Richard J. Wood
Dalhousie University
Introductory Mathematical Analysis
for Business, Economics, and the Live
and Social Sciences
Fourteenth Edition
Ernest F. Haeussler Jr.
The Pennsylvania State University
Richard S. Paul
The Pennsylvania State University
Richard J. Wood
Dalhousie University
Complete Chapter Solutions Manual
are included (Ch 0 to 17)
** Immediate Download
** Swift Response
** All Chapters included
** Exercises and Problems
, Chapter 0
Problems 0.1 Problems 0.2
p
1. False; 13 is not a real number. 1. False, because 0 does not have a reciprocal.
66
2. True, because 2 and 7 are integers and 7 ¤ 0. 2. True; 6:6 D so the reciprocal of 6:6 is
10
10
D 0:151515 : : :.
3. False, because 3 is not positive. 66
0 3. False; the negative of 7 is 7 because
4. False, because 0 D : 7 C . 7/ D 0.
1
5. False, it is fairly easy to see (although the details 4. True; 1.x y/ D .1 x/.1 y/
are
p not relevant for a course using this text) that
n, for n an integer, is either an integer (if n is a 5. False; x C y D y C . x/ D y x.
perfect square) or irrational (if n is not a perfect
square). The perfect squares are 6. True; .x C 2/.4/ D .x/.4/ C .2/.4/ D 4x C 8.
16; 25; 36; : : : and since 3 is not among
1; 4; 9;p
these, 3 is not rational. x x 15 x C 15 xC3
7. false; C3D C D ¤ .
5 5 5 5 5
6. False; we cannot divide by 0.
b ab
8. True, because a D .
p c c
7. False, because 25 D 5, which is a positive
integer.
9. False; 2.x y/ D 2xy while
p .2x/ .2y/ D .2 2/ .x y/ D 4xy.
8. True; 2 is an irrational real number.
10. True; by the associative and commutative
9. False; we cannot divide by 0. properties, x.4y/ D .x 4/y D .4 x/y D 4xy.
10. False, we have 3 < < 4 so that is at best 11. distributive
rational and not an integer. It can be shown that
is irrational (but the details are not relevant for 12. the associative property of addition
our purposes).
13. associative
11. True; see Figure 0.1 in the text.
14. definition of division and commutative property
12. False, since the integer 0 is neither positive nor
15. commutative and distributive
negative.
16. associative
13. True; we can regard a terminating sequence as
being the same as the sequence obtained from it 17. the definition of division
by appending infinitely many zeros.
p 18. commutative
14. False; 13 is not a real number.
1
, Chapter 0: Review of Algebra ISM: Introductory Mathematical Analysis
19. distributive and commutative 37. . 1:6/. 0:5/ D .1:6/.0:5/ D 0:8
20. distributive 38. 19. 1/ D . 1/19 D .1 19/ D 19
1 a
21. 2x.y 7/ D .2x/y .2x/7 D 2xy .7/.2x/
39. 1
D 1 Da
D 2xy .7 2/x D 2xy 14x a
1
x 1 1 1 z 40. . 6 C x/ D . 6/ xD6 x
22. z D x zDx z Dx z D x where
y y y y y
we have used, in order, the definition of division, 41. 7.x/ D .7x/ D 7x
the associativity of multiplication, the
commutativity of multiplication, and the 42. 3.a b/ D 3a C 3b D 3.b a/
definition of division
43. Π6 C . y/ D . 6/ . y/ D 6 C y
23. (x C y/.2/ D 2.x C y/ D 2x C 2y
3 13 1
44. 3 .3a/ D D D
24. aŒb C .c C d/ D aŒ.b C c/ C d 3a 3a a
D aŒd C .b C c/ D aŒ.d C b/ C c 9 9 91 1
45. 9 . 27/ D D D D
27 27 93 3
25. xŒ.2y C 1/ C 3 D xŒ2y C .1 C 3/ D xŒ2y C 4
D x.2y/ C x.4/ D .x 2/y C 4x D .2x/y C 4x a a
46. . a/ . b/ D D
b b
D 2xy C 4x
9
26. .1 C a/.b C c/ D 1.b C c/ C a.b C c/ 47. 3 C .3 1 9/ D 3 C D3C3D6
3
D 1.b/ C 1.c/ C a.b/ C a.c/ D b C c C ab C ac
48. 3Œ 2.3/ C 6.2/ D 3Œ 6 C 12 D 3Œ6 D 18
27. .x y C z/w D ..x C . y// C z/w
D .x C . y//w C zw D xw C . y/w C zw 49. ( a/. b/. 1/ D ab. 1/ D ab
D xw C . yw/ C zw D xw yw C zw
50. . 12/. 12/ D .12/.12/ D 144
28. 2 C . 4/ D 6
51. X.1/ D X
29. aCbDb a
52. 71.x 2/ D 71x C 142 D 142 71x
30. 6 C . 4/ D 2
53. 4.5 C x/ D 4.5/ C 4.x/ D 20 C 4x
31. 7 2D5
54. .x y/ D xCyDy x
3
3 1 3 2 6
32. 1
D 1
D D D6 55. 0. x/ D 0
2 1 1 1
2
1 81 8
33. 5 . 13/ D 5 C 13 D 8 56. 8 D D
11 11 11
34. . a/ C . b/ D a b X
57. DX
1
35. . 2/.9/ D .2 9/ D 18
14x 27x 2x
36. 7. 9/ D .7 9/ D 63 58. D D
21y 37y 3y
2
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