Solutions for College Algebra with Modeling and Visualization 6th Edition by Gary K. Rockswold All Chapters

College Algebra with Modeling and
TU
Visualization – 6th Edition

SOLUTIONS
V
IA

MANUAL
?_
AP
Gary K. Rockswold
PR

Complete Solutions Manual for Instructors and
OV
Students

© Gary K. Rockswold
ED

All rights reserved. Reproduction or distribution without permission is prohibited.
??
??

©Medexcellence ✅��

, Table of Contents
Chapter 1 Introduction to Functions and Graphs 1
TU
Chapter 2 Linear Functions and Equations 52
Chapter 3 Quadratic Functions and Equations 134
Chapter 4 More Nonlinear Functions and Equations 217
V
Chapter 5 Exponential and Logarithmic Functions 368
IA
Chapter 6 Trigonometric Functions 453
Chapter 7 Trigonometric Identities and Equations 558
Chapter 8 Further Topics in Trigonometry 657
?_
Chapter 9 Systems of Equations and Inequalities 758
Chapter 10 Conic Sections 863
AP
Chapter 11 Further Topics in Algebra 910
Chapter R Reference: Basic Concepts from Algebra and Geometry 978
Appendix C Partial Fractions 1011
PR
Appendix D Percent Change and Exponential Functions 1018
Appendix E Rotation of Axes 1023
OV
ED
??
??

, Chapter 1: Introduction to Functions and Graphs
TU

1.1: Numbers, Data, and Problem Solving
V
21
1. is a real and rational number.
24
2. 100,000 is a real number, rational number, integer, and natural number.
IA
3. 7.5 is a real and rational number.
4. 12.3 is a real and rational number.
5. 90 2 is a real number.
6. 71 is an integer, real number, and rational number.
?_
2
7. Natural number: 9  3 ; whole number: 9 ; integers: 3 , 9 ; rational numbers: 3 , , 9 , 1.3 ;
9
irrational numbers:  ,  2
3 3 3
 3 , 5.6  103  5600 ; whole numbers: , 0 , 5.6  103 ; integers: , 0 , 5.6  103 ;
AP
8. Natural numbers:
1 1 1
3 5 3
rational numbers: ,  , 0.45 , 0 , 5.6  10 ; irrational number: 7
1 8
1
9. Natural number: None; whole number:0; integer: 0,  4  2 ; rational numbers: 0, , 5.1 106 , 2.33 ,
3
PR
0.7 ,  4 ; irrational number: 13
21
10. Natural numbers: 100  10 ; whole number: 100 ; integers: 103 , 100 ; rational numbers: 103 , ,
25
5.7 2
100 ,  , , 1.457 ; irrational number: 3
10 9
OV
11. Shoe sizes are normally measured to within half sizes. Rational numbers are most appropriate.
12. Population is measured using natural numbers.
13. Speed limit is measured using natural numbers.
14. Gasoline is usually measured to a fraction of a gallon using rational numbers.
15. Temperature is typically measured to the nearest degree in a weather forecast. Since temperature can include
negative numbers, the integers would be most appropriate.
ED
16. Compact disc sales could be measured in natural numbers, since fractions of a disc are not allowed.
17. | 5  8  7 |  | 5  56 |  | 51|  51
18. 2(16  3  5)  2  2(16  15)  2  2(1)  2  2  2  1
19. 62  3(2  4) 4  62  3(  2) 4  36  3(16)  36  48  84
??
20. (4  5) 2  32  3 9  (  1)2  9  3(3)  1  9  9  17
84 4
21. 95   4   22  0
42 2
6  42  23 6  16  8 6  2
??
22.    4
3 4 1 1



Copyright ©2018 Pearson Education, Inc.

, 2 Chapter 1 Introduction to Functions and Graphs



23. 132  122  169  144  25  5
13  9  16 13  25 13  5 8
24.    2
| 5  7 |2 | 2 |2 4 4
TU
4  9 32  3 13 27 40
25.     8
23 5 5 5 5
5  10 15 5
26. 10  2   10  2   10  2  3  5  3 
5 5 3
V
27. 52  20  4  2  25  5  2  32
28. 5  (4)3  43  5  (64)  64  5  64  64  5
IA
29. 8.2  101
30. 1.45  107
31. 3.65  103
0.62  6.2  101
?_
32.
33. 2450  2.45  103
34. 105.6  1.056  102
35. 0.56  5.6  101
AP
36. 0.00456  4.56  103
37. 0.0087  8.7  103
38. 1, 250, 000  1.25 106
39. 206.8  2.068  102
PR
40. 0.00007  7  105
41. 106  0.000001
42. 9.11 1031  0.000000000000000000000000000000911
There are 30 zeros between the decimal point and the digits 911.
43. 2  108  200, 000, 000
OV
44. 8, 000, 000, 000
45. 1.567  102  156.7
46. 5.68  101  0.568
47. 5  105  500, 000
ED
48. 3.5  103  3500
49. 0.045  105  4500
50. 5.4 105  0.000054
51. 67  103  67, 000
0.0032  101  0.00032
??
52.
53. (4  103 )(2  105 )  4  2  1035  8  108 ; 800, 000, 000
54. (3  101 )(3  104 )  3  3  1014  9  105 ; 900, 000
55. (5  102 )(7  104 )  5  7  102 4  35  102  3.5  101 ; 0.35
??

Copyright ©2018 Pearson Education, Inc.