SOLUTION MANUAL M
Finite Mathematics & Its Applications
M M M M
13th Edition by Larry J. Goldstein,
M M M M M
Chapters 1 - 12, Complete
M M M M
, Contents
Chapter 1: Linear Equations and Straight Lines
M M M M M 1–1
Chapter 2: Matrices
M 2–1
Chapter 3: Linear Programming, A Geometric Approach
M M M M M 3–1
Chapter 4: The Simplex Method
M M M 4–1
Chapter 5: Sets and Counting
M M M 5–1
Chapter 6: Probability
M 6–1
Chapter 7: Probability and Statistics
M M M 7–1
Chapter 8: Markov Processes
M M 8–1
Chapter 9: The Theory of Games
M M M M 9–1
Chapter 10 The Mathematics of Finance
M M M M 10–1
:
Chapter 11 Logic
M 11–1
:
Chapter 12 Difference Equations and Mathematical Models
M M M M M 12–1
:
, Chapter 1 M
ExercisesM1.1 5
6.M LeftM1,MdownM
2
1. RightM2,MupM3 y
y
(2,M3
) x
x
(–1, – 2M
M
5
)M
7.M LeftM20,MupM40
2. LeftM1,MupM y
4
y
(–20,M40)
(–1,M4)
x
x
8.M RightM25,MupM30
3.M DownM2 y
y
(25,M30)
x
x
(0,M–2)
9. PointMQMisM2MunitsMtoMtheMleftMandM2MunitsMupMor
4. RightM2
y (—2,M2).
10. PointMPMisM3MunitsMtoMtheMrightMandM2MunitsMdownMor
(3,—2).
x
(2,M0 1M
) 11. —2(1)M+M (3)M=M—2M+1M=M—1soM yesM theM pointM is
3
onMtheMline
.
5. LeftM2,MupM
1 12. 1M
y
—2(2)M+M (6)M=M—1MisM false,M soM noM theM pointM isM not
3
onMtheMlin
e
CopyrightM©M2023MPearsonMEducation,MIn 1-1
c.
, (–2,M1)
x
1-2 CopyrightM©M2023MPearsonMEducation,MIn
c.
Finite Mathematics & Its Applications
M M M M
13th Edition by Larry J. Goldstein,
M M M M M
Chapters 1 - 12, Complete
M M M M
, Contents
Chapter 1: Linear Equations and Straight Lines
M M M M M 1–1
Chapter 2: Matrices
M 2–1
Chapter 3: Linear Programming, A Geometric Approach
M M M M M 3–1
Chapter 4: The Simplex Method
M M M 4–1
Chapter 5: Sets and Counting
M M M 5–1
Chapter 6: Probability
M 6–1
Chapter 7: Probability and Statistics
M M M 7–1
Chapter 8: Markov Processes
M M 8–1
Chapter 9: The Theory of Games
M M M M 9–1
Chapter 10 The Mathematics of Finance
M M M M 10–1
:
Chapter 11 Logic
M 11–1
:
Chapter 12 Difference Equations and Mathematical Models
M M M M M 12–1
:
, Chapter 1 M
ExercisesM1.1 5
6.M LeftM1,MdownM
2
1. RightM2,MupM3 y
y
(2,M3
) x
x
(–1, – 2M
M
5
)M
7.M LeftM20,MupM40
2. LeftM1,MupM y
4
y
(–20,M40)
(–1,M4)
x
x
8.M RightM25,MupM30
3.M DownM2 y
y
(25,M30)
x
x
(0,M–2)
9. PointMQMisM2MunitsMtoMtheMleftMandM2MunitsMupMor
4. RightM2
y (—2,M2).
10. PointMPMisM3MunitsMtoMtheMrightMandM2MunitsMdownMor
(3,—2).
x
(2,M0 1M
) 11. —2(1)M+M (3)M=M—2M+1M=M—1soM yesM theM pointM is
3
onMtheMline
.
5. LeftM2,MupM
1 12. 1M
y
—2(2)M+M (6)M=M—1MisM false,M soM noM theM pointM isM not
3
onMtheMlin
e
CopyrightM©M2023MPearsonMEducation,MIn 1-1
c.
, (–2,M1)
x
1-2 CopyrightM©M2023MPearsonMEducation,MIn
c.