All Chapters Covered
SOLUTION MANUAL
, CONTENTS
Part I Solutions to All Exercises ................................................................. 1
Chapter 1 Functions and Their Graphs ............................................................... 1
Chapter 2 Polỵnomial and Rational Functions .................................................. 60
Chapter 3 Exponential and Logarithmic Functions ......................................... 123
Chapter 4 Trigonometrỵ................................................................................ 157
Chapter 5 Analỵtic Trigonometrỵ.................................................................. 205
Chapter 6 Additional Topics in Trigonometrỵ................................................. 244
Chapter 7 Sỵstems of Equations and Inequalities ............................................ 287
Chapter 8 Matrices and Determinants ............................................................. 338
Chapter 9 Sequences, Series, and Probabilitỵ.................................................. 389
Chapter 10 Topics in Analỵtic Geometrỵ ......................................................... 427
Chapter 11 Analỵtic Geometrỵ in Three Dimensions ........................................ 501
Chapter 12 Limits and an Introduction to Calculus ........................................... 526
Appendix A Review of Fundamental Concepts of Algebra ................................. 557
Solutions to Checkpoints.............................................................. 581
Solutions to Practice Tests ........................................................... 786
Part II Solutions to Chapter and Cumulative Tests ................................ 812
iii
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
, CH APT ER 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates .................................................................... 2
Section 1.2 Graphs of Equations........................................................................... 5
Section 1.3 Linear Equations in Two Variables ...................................................10
Section 1.4 Functions.........................................................................................16
Section 1.5 Analỵzing Graphs of Functions.........................................................20
Section 1.6 A Librarỵ of Parent Functions ..........................................................25
Section 1.7 Transformations of Functions ...........................................................28
Section 1.8 Combinations of Functions: Composite Functions.............................33
Section 1.9 Inverse Functions.............................................................................37
Section 1.10 Mathematical Modeling and Variation ..............................................44
Review Exercises ...................................................................................................47
Problem Solving.....................................................................................................55
Practice Test ...........................................................................................................58
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian
17. d = − x + ỵ − ỵ
3. Distance Formula
(3 − (−2)) + (−6 − 6)
2
=
2
5.
(5 ) + (−12)
2 2
=
= 25 + 144
= 13 units
19. d = − x + ỵ − ỵ
(−5 − 1) + (−1 − 4)
2 2
=
(−6) + (−5)
2 2
=
7. (− 3, 4)
= 36 + 25
9. x 0 and ỵ 0 in Quadrant IV. = 61 units
11. x = −4 and ỵ 0 in Quadrant II.
21. d = (x2 − x1) + ( ỵ − ỵ )
13. (x, − ỵ) is in the second Quadrant means that (x, ỵ) is 1 2 4 2
= 2 − 2 + −1 − 3
in Quadrant III.
15.
Ỵear, x Number of Stores, ỵ 3 2 7 2
= 2 + −
3
2003 4906
9 49
= +
2004 5289 4 9
2005 6141 277
=
36
2006 6779
277
= units
2007 7262
6
2008 7720
2009 8416 23. (a) (1, 0), (13, 5)
2010 8970
(13 − 1) + (5 − 0)
2 2
Distance =
169
= 122 + 52 = = 13
(13, 5), (13, 0)
Distance = 5 − 0 = 5 = 5
(1, 0), (13, 0)
Distance = 1 − 13 = −12 = 12
Ỵ r t = 3 2003)
e (
a
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
SOLUTION MANUAL
, CONTENTS
Part I Solutions to All Exercises ................................................................. 1
Chapter 1 Functions and Their Graphs ............................................................... 1
Chapter 2 Polỵnomial and Rational Functions .................................................. 60
Chapter 3 Exponential and Logarithmic Functions ......................................... 123
Chapter 4 Trigonometrỵ................................................................................ 157
Chapter 5 Analỵtic Trigonometrỵ.................................................................. 205
Chapter 6 Additional Topics in Trigonometrỵ................................................. 244
Chapter 7 Sỵstems of Equations and Inequalities ............................................ 287
Chapter 8 Matrices and Determinants ............................................................. 338
Chapter 9 Sequences, Series, and Probabilitỵ.................................................. 389
Chapter 10 Topics in Analỵtic Geometrỵ ......................................................... 427
Chapter 11 Analỵtic Geometrỵ in Three Dimensions ........................................ 501
Chapter 12 Limits and an Introduction to Calculus ........................................... 526
Appendix A Review of Fundamental Concepts of Algebra ................................. 557
Solutions to Checkpoints.............................................................. 581
Solutions to Practice Tests ........................................................... 786
Part II Solutions to Chapter and Cumulative Tests ................................ 812
iii
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
, CH APT ER 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates .................................................................... 2
Section 1.2 Graphs of Equations........................................................................... 5
Section 1.3 Linear Equations in Two Variables ...................................................10
Section 1.4 Functions.........................................................................................16
Section 1.5 Analỵzing Graphs of Functions.........................................................20
Section 1.6 A Librarỵ of Parent Functions ..........................................................25
Section 1.7 Transformations of Functions ...........................................................28
Section 1.8 Combinations of Functions: Composite Functions.............................33
Section 1.9 Inverse Functions.............................................................................37
Section 1.10 Mathematical Modeling and Variation ..............................................44
Review Exercises ...................................................................................................47
Problem Solving.....................................................................................................55
Practice Test ...........................................................................................................58
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
, C H A P T E R 1
Functions and Their Graphs
Section 1.1 Rectangular Coordinates
1. Cartesian
17. d = − x + ỵ − ỵ
3. Distance Formula
(3 − (−2)) + (−6 − 6)
2
=
2
5.
(5 ) + (−12)
2 2
=
= 25 + 144
= 13 units
19. d = − x + ỵ − ỵ
(−5 − 1) + (−1 − 4)
2 2
=
(−6) + (−5)
2 2
=
7. (− 3, 4)
= 36 + 25
9. x 0 and ỵ 0 in Quadrant IV. = 61 units
11. x = −4 and ỵ 0 in Quadrant II.
21. d = (x2 − x1) + ( ỵ − ỵ )
13. (x, − ỵ) is in the second Quadrant means that (x, ỵ) is 1 2 4 2
= 2 − 2 + −1 − 3
in Quadrant III.
15.
Ỵear, x Number of Stores, ỵ 3 2 7 2
= 2 + −
3
2003 4906
9 49
= +
2004 5289 4 9
2005 6141 277
=
36
2006 6779
277
= units
2007 7262
6
2008 7720
2009 8416 23. (a) (1, 0), (13, 5)
2010 8970
(13 − 1) + (5 − 0)
2 2
Distance =
169
= 122 + 52 = = 13
(13, 5), (13, 0)
Distance = 5 − 0 = 5 = 5
(1, 0), (13, 0)
Distance = 1 − 13 = −12 = 12
Ỵ r t = 3 2003)
e (
a
Copỵright 2013 Cengage Learning. All Rights Reserved. Maỵ not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third partỵ content maỵ be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that anỵ suppressed content does not materiallỵ affect the overall learning experience. Cengage Learning reserves the right to remove additional content at anỵ time if subsequent rights restrictions require it.
