College Mathematics for Business,
Economics, Life Sciences, and Social
UV
Sciences – 14th Edition
SOLUTIONS
IA
MANUAL
_A
PP
Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen,
Christopher J. Stocker
RO
Complete Solutions Manual for Instructors and
VE
Students
D?
© Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
??
All rights reserved. Reproduction or distribution without permission is prohibited.
??
©Medexcellence ✅��
, Contents
1 Linear Equations and Graphs 1-1
Exercise 1-1 1-1
UV
Exercise 1-2 1-5
Exercise 1-3 1-11
Chapter 1 Review 1-15
2 Functions 2-1
Exercise 2-1 2-1
Exercise 2-2 2-5
IA
Exercise 2-3 2-9
Exercise 2-4 2-16
Exercise 2-5 2-23
Exercise 2-6 2-27
Chapter 2 Review 2-34
_A
3 Mathematics of Finance 3-1
Exercise 3-1 3-1
Exercise 3-2 3-5
Exercise 3-3 3-13
Exercise 3-4 3-19
PP
Chapter 3 Review 3-27
4 System of Linear Equations; Matrices 4-1
Exercise 4-1 4-1
Exercise 4-2 4-10
Exercise 4-3 4-15
RO
Exercise 4-4 4-29
Exercise 4-5 4-34
Exercise 4-6 4-42
Exercise 4-7 4-53
Chapter 4 Review 4-60
5 Linear Equations and Graphs 5-1
VE
Exercise 5-1 5-1
Exercise 5-2 5-5
Exercise 5-3 5-11
Chapter 5 Review 5-20
6 Simplex Method 6-1
D?
Exercise 6-1 6-1
Exercise 6-2 6-5
Exercise 6-3 6-30
Exercise 6-4 6-52
Chapter 6 Review 6-79
??
7 Logic, Sets, and Counting 7-1
Exercise 7-1 7-1
Exercise 7-2 7-5
Exercise 7-3 7-7
Exercise 7-4 7-13
??
Chapter 7 Review 7-18
Copyright © 2019 Pearson Education, Inc.
iii
, 8 Probability 8-1
Exercise 8-1 8-1
Exercise 8-2 8-6
Exercise 8-3 8-12
Exercise 8-4 8-18
UV
Exercise 8-5 8-26
Chapter 8 Review 8-32
9 Limits and the Derivative 9-1
Exercise 9-1 9-1
Exercise 9-2 9-6
Exercise 9-3 9-13
IA
Exercise 9-4 9-20
Exercise 9-5 9-31
Exercise 9-6 9-36
Exercise 9-7 9-41
Chapter 9 Review 9-46
_A
10 Additional Derivative Topics 10-1
Exercise 10-1 10-1
Exercise 10-2 10-4
Exercise 10-3 10-8
Exercise 10-4 10-15
PP
Exercise 10-5 10-22
Exercise 10-6 10-29
Exercise 10-7 10-36
Chapter 10 Review 10-42
11 Graphing and Optimization 11-1
RO
Exercise 11-1 11-1
Exercise 11-2 11-10
Exercise 11-3 11-24
Exercise 11-4 11-31
Exercise 11-5 11-65
Exercise 11-6 11-71
Chapter 11 Review 11-79
VE
12 Integration 12-1
Exercise 12-1 12-1
Exercise 12-2 12-6
Exercise 12-3 12-15
Exercise 2-4 12-22
D?
Exercise 12-5 12-26
Chapter 12 Review 12-34
13 Additional Integration Topics 13-1
Exercise 13-1 13-1
Exercise 13-2 13-9
??
Exercise 13-3 13-17
Exercise 13-4 13-28
Chapter 13 Review 13-41
14 Multivariable Calculus 14-1
??
Exercise 14-1 14-1
Exercise 14-2 14-4
Exercise 14-3 14-10
Copyright © 2019 Pearson Education, Inc.
iv
, Exercise 14-4 14-16
Exercise 14-5 14-24
Exercise 14-6 14-30
Exercise 14-7 14-37
Chapter 14 Review 14-46
UV
15 Markov Chains 15-1
Exercise 15-1 15-1
Exercise 15-2 15-8
Exercise 15-3 15-17
Chapter 15 Review 15-27
IA
Appendix A Basic Algebra Review A-1
Exercise A-1 A-1
Exercise A-2 A-2
Exercise A-3 A-4
Exercise A-4 A-6
_A
Exercise A-5 A-9
Exercise A-6 A-10
Exercise A-7 A-14
Appendix B Special Topics B-1
Exercise B-1 B-1
PP
Exercise B-2 B-5
Exercise B-3 B-8
Exercise B-4 B-10
RO
VE
D?
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Copyright © 2019 Pearson Education, Inc.
v
Economics, Life Sciences, and Social
UV
Sciences – 14th Edition
SOLUTIONS
IA
MANUAL
_A
PP
Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen,
Christopher J. Stocker
RO
Complete Solutions Manual for Instructors and
VE
Students
D?
© Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
??
All rights reserved. Reproduction or distribution without permission is prohibited.
??
©Medexcellence ✅��
, Contents
1 Linear Equations and Graphs 1-1
Exercise 1-1 1-1
UV
Exercise 1-2 1-5
Exercise 1-3 1-11
Chapter 1 Review 1-15
2 Functions 2-1
Exercise 2-1 2-1
Exercise 2-2 2-5
IA
Exercise 2-3 2-9
Exercise 2-4 2-16
Exercise 2-5 2-23
Exercise 2-6 2-27
Chapter 2 Review 2-34
_A
3 Mathematics of Finance 3-1
Exercise 3-1 3-1
Exercise 3-2 3-5
Exercise 3-3 3-13
Exercise 3-4 3-19
PP
Chapter 3 Review 3-27
4 System of Linear Equations; Matrices 4-1
Exercise 4-1 4-1
Exercise 4-2 4-10
Exercise 4-3 4-15
RO
Exercise 4-4 4-29
Exercise 4-5 4-34
Exercise 4-6 4-42
Exercise 4-7 4-53
Chapter 4 Review 4-60
5 Linear Equations and Graphs 5-1
VE
Exercise 5-1 5-1
Exercise 5-2 5-5
Exercise 5-3 5-11
Chapter 5 Review 5-20
6 Simplex Method 6-1
D?
Exercise 6-1 6-1
Exercise 6-2 6-5
Exercise 6-3 6-30
Exercise 6-4 6-52
Chapter 6 Review 6-79
??
7 Logic, Sets, and Counting 7-1
Exercise 7-1 7-1
Exercise 7-2 7-5
Exercise 7-3 7-7
Exercise 7-4 7-13
??
Chapter 7 Review 7-18
Copyright © 2019 Pearson Education, Inc.
iii
, 8 Probability 8-1
Exercise 8-1 8-1
Exercise 8-2 8-6
Exercise 8-3 8-12
Exercise 8-4 8-18
UV
Exercise 8-5 8-26
Chapter 8 Review 8-32
9 Limits and the Derivative 9-1
Exercise 9-1 9-1
Exercise 9-2 9-6
Exercise 9-3 9-13
IA
Exercise 9-4 9-20
Exercise 9-5 9-31
Exercise 9-6 9-36
Exercise 9-7 9-41
Chapter 9 Review 9-46
_A
10 Additional Derivative Topics 10-1
Exercise 10-1 10-1
Exercise 10-2 10-4
Exercise 10-3 10-8
Exercise 10-4 10-15
PP
Exercise 10-5 10-22
Exercise 10-6 10-29
Exercise 10-7 10-36
Chapter 10 Review 10-42
11 Graphing and Optimization 11-1
RO
Exercise 11-1 11-1
Exercise 11-2 11-10
Exercise 11-3 11-24
Exercise 11-4 11-31
Exercise 11-5 11-65
Exercise 11-6 11-71
Chapter 11 Review 11-79
VE
12 Integration 12-1
Exercise 12-1 12-1
Exercise 12-2 12-6
Exercise 12-3 12-15
Exercise 2-4 12-22
D?
Exercise 12-5 12-26
Chapter 12 Review 12-34
13 Additional Integration Topics 13-1
Exercise 13-1 13-1
Exercise 13-2 13-9
??
Exercise 13-3 13-17
Exercise 13-4 13-28
Chapter 13 Review 13-41
14 Multivariable Calculus 14-1
??
Exercise 14-1 14-1
Exercise 14-2 14-4
Exercise 14-3 14-10
Copyright © 2019 Pearson Education, Inc.
iv
, Exercise 14-4 14-16
Exercise 14-5 14-24
Exercise 14-6 14-30
Exercise 14-7 14-37
Chapter 14 Review 14-46
UV
15 Markov Chains 15-1
Exercise 15-1 15-1
Exercise 15-2 15-8
Exercise 15-3 15-17
Chapter 15 Review 15-27
IA
Appendix A Basic Algebra Review A-1
Exercise A-1 A-1
Exercise A-2 A-2
Exercise A-3 A-4
Exercise A-4 A-6
_A
Exercise A-5 A-9
Exercise A-6 A-10
Exercise A-7 A-14
Appendix B Special Topics B-1
Exercise B-1 B-1
PP
Exercise B-2 B-5
Exercise B-3 B-8
Exercise B-4 B-10
RO
VE
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Copyright © 2019 Pearson Education, Inc.
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