Solutions Manual for Algebra and Trigonometry With Modeling and Visualization 6th Edition By Gary Rockswold

SOLUTIONS MANUAL
MATH MADE VISIBLE

ALGEBRA AND
TRIGONOMETRY WITH
MODELING AND




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U
VISUALIZATION


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PRECALCULUS WITH MODELING
AND VISUALIZATION
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6TH EDITION
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Gary Rockswold
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Terry Krieger
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Jessica Rockswold
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❖ ALL CHAPTERS
❖ PDF DOWNLOAD

, Table of Contents
Chapter 1 Introduction to Functions and Graphs 1
Chapter 2 Linear Functions and Equations 52
Chapter 3 Quadratic Functions and Equations 134
Chapter 4 More Nonlinear Functions and Equations 217
Chapter 5 Exponential and Logarithmic Functions 368




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Chapter 6 Trigonometric Functions 453
Chapter 7 Trigonometric Identities and Equations 558




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Chapter 8 Further Topics in Trigonometry 657




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Chapter 9 Systems of Equations and Inequalities 758
Chapter 10 Conic Sections 863
Chapter 11 Further Topics in Algebra
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Chapter R Reference: Basic Concepts from Algebra and Geometry 978
Appendix C Partial Fractions 1011
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Appendix D Percent Change and Exponential Functions 1018
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Appendix E Rotation of Axes 1023
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,Chapter 1: Introduction to Functions and Graphs


1.1: Numbers, Data, and Problem Solving

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1. is a real and rational number.
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2. 100,000 is a real number, rational number, integer, and natural number.




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3. 7.5 is a real and rational number.
4. 12.3 is a real and rational number.




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5. 90 2 is a real number.
6. 71 is an integer, real number, and rational number.




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2
7. Natural number: 9  3 ; whole number: 9 ; integers: 3 , 9 ; rational numbers: 3 , , 9 , 1.3 ;
9
irrational numbers:  ,  2

8. Natural numbers:
3
1
3 5 3
3
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rational numbers: ,  , 0.45 , 0 , 5.6  10 ; irrational number: 7
3
 3 , 5.6  103  5600 ; whole numbers: , 0 , 5.6  103 ; integers: , 0 , 5.6  103 ;
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1 8
1
9. Natural number: None; whole number:0; integer: 0,  4  2 ; rational numbers: 0, , 5.1 106 , 2.33 ,
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3
0.7 ,  4 ; irrational number: 13
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21
10. Natural numbers: 100  10 ; whole number: 100 ; integers: 103 , 100 ; rational numbers: 103 , ,
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5.7 2
100 ,  , , 1.457 ; irrational number: 3
10 9
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11. Shoe sizes are normally measured to within half sizes. Rational numbers are most appropriate.
12. Population is measured using natural numbers.
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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.
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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



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, 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
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
27. 52  20  4  2  25  5  2  32
28. 5  (4)3  43  5  (64)  64  5  64  64  5




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29. 8.2  101
30. 1.45  107




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31. 3.65  103
32. 0.62  6.2  101




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33. 2450  2.45  103
34. 105.6  1.056  102
35. 0.56  5.6  101
36.
37.
0.00456  4.56  103
0.0087  8.7  103
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38. 1, 250, 000  1.25 106
206.8  2.068  102
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39.
40. 0.00007  7  105
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41. 106  0.000001
42. 9.11 1031  0.000000000000000000000000000000911
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There are 30 zeros between the decimal point and the digits 911.
43. 2  108  200, 000, 000
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44. 8, 000, 000, 000
1.567  102  156.7
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45.
46. 5.68  101  0.568
47. 5  105  500, 000
48. 3.5  103  3500
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49. 0.045  105  4500
50. 5.4 105  0.000054
51. 67  103  67, 000
52. 0.0032  101  0.00032
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




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