## Description

Finite Mathematics & Its Applications / Edition 12 by Larry J. Goldstein EBOOK PDF Instant Download

Table of Contents

Preface

New to This Edition

Trusted Features

Technology and Supplements

Part One

Chapter 1 Linear Equations and Straight Lines

1.1 Coordinate Systems and Graphs

Plotting Points

Solution

Solution of an Equation

Solution

Linear Equations

Intercepts

Check Your Understanding 1.1

Exercises 1.1

Technology Exercises

Solutions to Check Your Understanding 1.1

1.2 The Slope of a Straight Line

Definition

Perpendicular and Parallel Lines

Check Your Understanding 1.2

Exercises 1.2

Technology Exercises

Solutions to Check Your Understanding 1.2

1.3 The Intersection Point of a Pair of Lines

Finding the Point of Intersection

Solution

Finding the Point of Intersection

Solution

Finding the Point of Intersection

Solution

Solving a System of Equations

Solution

Supply and Demand Curves

Check Your Understanding 1.3

Exercises 1.3

Technology Exercises

Solutions to Check Your Understanding 1.3

1.4 The Method of Least Squares

Finding the Sum-of-Squares Error

Solution

Obtaining the Least-Squares Line with a Graphing Calculator

Obtaining a Least-Squares Line with an Excel Spreadsheet

Obtaining a Least-Squares Line with Wolfram|Alpha

The Computational Method for Obtaining a Least-Squares Fit

Check Your Understanding 1.4

Exercises 1.4

Solutions to Check Your Understanding 1.4

Summary Chapter 1

Chapter 1 Fundamental Concept Check Exercises

Chapter 1 Review Exercises

Conceptual Exercises

Chapter 2 Matrices

2.1 Systems of Linear Equations with Unique Solutions

Manufacturing

Solution

Demonstrating Elementary Row Operation 2

Solution

Solving a System of Equations by Gauss–Jordan Elimination

Solution

Solving a System of Equations by Gauss–Jordan Elimination

Solution

Solving a System of Equations by Gauss—Jordan Elimination

Solution

Check Your Understanding 2.1

Exercises 2.1

Technology Exercises

Solutions to Check Your Understanding 2.1

2.2 General Systems of Linear Equations

Pivoting

Solution

A System of Equations That Has No Solution

Solution

Solving a System of Equations That Has Infinitely Many Solutions

Solution

Solving a System of Equations That Has Infinitely Many Solutions

Solution

Solving a System of Equations That Has Infinitely Many Solutions

Solution

Finding Specific Solutions

Solution

Check Your Understanding 2.2

Exercises 2.2

Technology Exercises

Solutions to Check Your Understanding 2.2

2.3 Arithmetic Operations on Matrices

Addition and Subtraction of Matrices

Multiplication of Matrices

Total Revenue as a Matrix Product

Solution

Matrix Multiplication

Solution

Matrix Multiplication

Solution

Investment Earnings

Solution

Manufacturing Revenue

Solution

Identity Matrix

Scalar Multiplication

Scalar Multiplication

Solution

Representing a System of Equations as a Matrix Equation

Solution

Check Your Understanding 2.3

Exercises 2.3

Technology Exercises

Solutions to Check Your Understanding 2.3

2.4 The Inverse of a Square Matrix

Using the Formula for the Inverse of a 2×2 Matrix

Solution

Solving Systems of Linear Equations with Inverses

Using a Matrix Inverse to Solve a System of Equations

Solution

Analyzing Marriage Trends

Solution

Using a Matrix Inverse to Solve Systems of Equations

Solution

Check Your Understanding 2.4

Exercises 2.4

Technology Exercises

Solutions to Check Your Understanding 2.4

2.5 The Gauss–Jordan Method for Calculating Inverses

Finding the Inverse of a Matrix by the Gauss–Jordan Method

Solution

Demonstrating That a Matrix Does Not Have an Inverse

Solution

Check Your Understanding 2.5

Exercises 2.5

Solutions to Check Your Understanding 2.5

2.6 Input–Output Analysis

Determining Industrial Production

Solution

Determining Production for a Conglomerate

Solution

Check Your Understanding 2.6

Exercises 2.6

Technology Exercises

Solutions to Check Your Understanding 2.6

Summary Chapter 2

Chapter 2 Fundamental Concept Check Exercises

Chapter 2 Review Exercises

Conceptual Exercises

Chapter 3 Linear Programming, A Geometric Approach

3.1 Linear Inequalities

Graphing Linear Inequalities

Solution of a Linear Inequality

Solution

Graphing a Linear Inequality

Solution

Graphing a Linear Inequality

Solution

Graphing a System of Linear Inequalities

Solution

Feasible Set of a System of Linear Inequalities

Solution

Check Your Understanding 3.1

Exercises 3.1

Technology Exercises

Solutions to Check Your Understanding 3.1

3.2 A Linear Programming Problem

Furniture Manufacturing Problem

Furniture Manufacturing Problem—Mathematical Formulation

Check Your Understanding 3.2

Exercises 3.2

Solutions to Check Your Understanding 3.2

3.3 Fundamental Theorem of Linear Programming

Solution of the Furniture Manufacturing Problem

Nutrition—People

Solution

Check Your Understanding 3.3

Exercises 3.3

Technology Exercises

Solutions to Check Your Understanding 3.3

3.4 Linear Programming

Investment Planning

Solution

Transportation—Shipping

Solution

Verification of the Fundamental Theorem

Range of Optimality

Transportation—Shipping

Solution

Check Your Understanding 3.4

Exercises 3.4

Technology Exercises

Solutions to Check Your Understanding 3.4

Summary Chapter 3

Chapter 3 Fundamental Concept Check Exercises

Chapter 3 Review Exercises

Conceptual Exercises

Chapter 3 Project

Shadow Prices

Chapter 4 The Simplex Method

4.1 Slack Variables and the Simplex Tableau

Furniture Manufacturing Problem

Solution

Solution

Solution

Solution

Check Your Understanding 4.1

Exercises 4.1

Solutions to Check Your Understanding 4.1

4.2 The Simplex Method I: Maximum Problems

Mathematical Model for the Furniture Manufacturing Problem

Rationale for Method of Choosing Pivot Element

Solution

Solution

Check Your Understanding 4.2

Exercises 4.2

Technology Exercises

Solutions to Check Your Understanding 4.2

4.3 The Simplex Method II: Nonstandard and Minimum Problems

Nonstandard Problems

Solution

Minimum Problems

Solution

Solution

Some Further Comments on the Simplex Method

Check Your Understanding 4.3

Exercises 4.3

Technology Exercises

Solutions to Check Your Understanding 4.3

4.4 Sensitivity Analysis and Matrix Formulations of Linear Programming Problems

Sensitivity Analysis of Linear Programming Problems

Solution

Matrix Formulations of Linear Programming Problems

Solution

Solution

Check Your Understanding 4.4

Exercises 4.4

Solutions to Check Your Understanding 4.4

4.5 Duality

Problem A

Problem B

Solution

Solution

An Economic Interpretation of the Dual Problem

Solution

A Useful Application of the Dual Problem

Solution

Check Your Understanding 4.5

Exercises 4.5

Technology Exercises

Solutions to Check Your Understanding 4.5

Chapter 4 Summary

Chapter 4 Fundamental Concept Check Exercises

Chapter 4 Review Exercises

Part Two

Chapter 5 Sets and Counting

5.1 Sets

Listing the Elements of a Set

Solution

Check Your Understanding 5.1

Exercises 5.1

Solutions to Check Your Understanding 5.1

5.2 A Fundamental Principle of Counting

Using the Inclusion–Exclusion Principle

Solution

Venn Diagrams

Verification of De Morgan’s Laws

Check Your Understanding 5.2

Exercises 5.2

Solutions to Check Your Understanding 5.2

5.3 Venn Diagrams and Counting

Check Your Understanding 5.3

Exercises 5.3

Solutions to Check Your Understanding 5.3

5.4 The Multiplication Principle

Check Your Understanding 5.4

Exercises 5.4

Solutions to Check Your Understanding 5.4

5.5 Permutations and Combinations

Verification of the Formulas for P(n,r) and C(n,r)

Check Your Understanding 5.5

Exercises 5.5

Technology Exercises

Solutions to Check Your Understanding 5.5

5.6 Further Counting Techniques

Check Your Understanding 5.6

Exercises 5.6

Technology Exercises

Solutions to Check Your Understanding 5.6

5.7 The Binomial Theorem

Check Your Understanding 5.7

Exercises 5.7

Solutions to Check Your Understanding 5.7

5.8 Multinomial Coefficients and Partitions

Unordered Partitions

Check Your Understanding 5.8

Exercises 5.8

Technology Exercises

Solutions to Check Your Understanding 5.8

Chapter 5 Summary

Chapter 5 Fundamental Concept Check Exercises

Chapter 5 Review Exercises

Technology Exercises

Conceptual Exercises

Chapter 6 Probability

6.1 Experiments, Outcomes, Sample Spaces, and Events

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

6.2 Assignment of Probabilities

Solution

Solution

Solution

The Addition and Inclusion–Exclusion Principles

Solution

Solution

Solution

Solution

Solution

Solution

Odds

Solution

Solution

Paradoxes

Solution

Check Your Understanding 6.2

Exercises 6.2

Solutions to Check Your Understanding 6.2

6.3 Calculating Probabilities of Events

Experiments with Equally Likely Outcomes

Solution

Solution

Solution

Solution

Solution

The Complement Rule

Solution

Health Statistics

Check Your Understanding 6.3

Exercises 6.3

Technology Exercises

Solutions to Check Your Understanding 6.3

6.4 Conditional Probability and Independence

Solution

Solution

6.5 Tree Diagrams

Solution

Solution

Solution

Solution

6.6 Bayes’ Theorem, Natural Frequencies

Solution

Solution

Natural Frequencies

Solution

Check Your Understanding 6.6

Exercises 6.6

Solutions to Check Your Understanding 6.6

6.7 Simulation

Solution

Solution

Solution

Solution

Chapter 6 Summary

Chapter 6 Fundamental Concept Check Exercises

Chapter 6 Review Exercises

Conceptual Exercises

Chapter 7 Probability and Statistics

7.1 Visual Representations of Data

Bar and Pie Charts

Solution

Histograms

Solution

Median, Quartiles, and Box Plots

Solution

Solution

Check Your Understanding 7.1

Exercises 7.1

Technology Exercises

Solutions to Check Your Understanding 7.1

7.2 Frequency and Probability Distributions

Solution

Solution

Probability Distributions

Solution

Random Variables

Solution

Solution

Solution

Check Your Understanding 7.2

Exercises 7.2

Solutions to Check Your Understanding 7.2

7.3 Binomial Trials

Solution

Solution

Solution

Solution

Solution

Summing Binomial Probabilities

Check Your Understanding 7.3

Exercises 7.3

Technology Exercises

Solutions to Check Your Understanding 7.3

7.4 The Mean

Solution

Solution

Solution

Expected Value

Solution

Solution

Solution

Solution

Check Your Understanding 7.4

Exercises 7.4

Solutions to Check Your Understanding 7.4

7.5 The Variance and Standard Deviation

Solution

Solution

Variance and Standard Deviation of a Binomial Random Variable

Solution

Population Variance and Standard Deviation

Solution

Sample Variance and Standard Deviation

Solution

Chebychev’s Inequality

Solution

Solution

Check Your Understanding 7.5

Exercises 7.5

Technology Exercises

Solutions to Check Your Understanding 7.5

7.6 The Normal Distribution

Solution

Solution Using Tables

Solution

Solution

Percentiles

Solution

Solution Using Tables

Solution

Solution

Solution

Solution

Solution

Solution

Check Your Understanding 7.6

Exercises 7.6

Technology Exercises

Solutions to Check Your Understanding 7.6

7.7 Normal Approximation to the Binomial Distribution

Solution

Solution

Solution

Solution

Check Your Understanding 7.7

Exercises 7.7

Technology Exercises

Solutions to Check Your Understanding 7.7

Chapter 7 Summary

Chapter 7 Fundamental Concept Check Exercises

Chapter 7 Review Exercises

Conceptual Exercises

Part Three

Chapter 8 Markov Processes

8.1 The Transition Matrix

Solution

Solution

Solution

Solution

Interpretation of the Entries of An

Transition Diagrams

Solution

Check Your Understanding 8.1

Exercises 8.1

Technology Exercises

Solutions to Check Your Understanding 8.1

8.2 Regular Stochastic Matrices

Solution

Verification

Solution

Solution

Solution

APPENDIX Verification of Method for Obtaining the Stable Distribution

Check Your Understanding 8.2

Exercises 8.8

Technology Exercises

Solutions to Check Your Understanding 8.2

8.3 Absorbing Stochastic Matrices

Solution

Solution

Solution

Solution

Solution

Solution

Solution

The Fundamental Matrix

Check Your Understanding 8.3

Exercises 8.8

Technology Exercises

Solutions to Check Your Understanding 8.3

Chapter 8 Summary

Chapter 8 Fundamental Concept Check Exercises

Chapter 8 Review Exercises

Conceptual Exercises

Chapter 9 The Theory of Games

9.1 Games and Strategies

Solution

Solution

Strictly Determined Games

Solution

Solution

Check Your Understanding 9.1

Exercises 9.1

Solutions to Check Your Understanding 9.1

9.2 Mixed Strategies

Solution

Solution

Solution

Solution

Check Your Understanding 9.2

Exercises 9.2

Solutions to Check Your Understanding 9.2

9.3 Determining Optimal Mixed Strategies

Solution

Solution

Verification of the Fundamental Theorem of Game Theory

Check Your Understanding 9.3

Exercises 9.3

Technology Exercises

Solutions to Check Your Understanding 9.3

Chapter 9 Summary

Chapter 9 Fundamental Concept Check Exercises

Chapter 9 Review Exercises

Conceptual Exercises

Part Four

Chapter 10 The Mathematics of Finance

10.1 Interest

Compound and Simple Interest

Solution

Solution

Solution

Solution

Solution

Solution

Effective Rate of Interest

Solution

Check Your Understanding 10.1

Exercises 10.1

Technology Exercises

Solutions to Check Your Understanding 10.1

10.2 Annuities

Increasing Annuities

Solution

Solution

Solution

Decreasing Annuities

Solution

Solution

Solution

Check Your Understanding 10.2

Exercises 10.2

Technology Exercises

Solutions to Check Your Understanding 10.2

10.3 Amortization of Loans

Solution

Solution

Solution

Solution

Solution

Check Your Understanding 10.3

Exercises 10.3

Technology Exercises

Solutions to Check Your Understanding 10.3

10.4 Personal Financial Decisions

Individual Retirement Accounts

Solution

Solution

Solution

Verification of the Equivalence Conjecture

Solution

Consumer Loans and the Truth-in-Lending Act

Solution

Solution

Mortgages with Discount Points

Solution

Technology Solution

Solution

Solution

Solution

Interest-Only and Adjustable-Rate Mortgages

Solution

Solution

Caps

Solution

Check Your Understanding 10.4

Exercises 10.4

Technology Exercises

Solutions to Check Your Understanding 10.4

10.5 A Unifying Equation

Solution

Solution

Solution

Solution

Solution

Solution

Nonfinancial Applications

Solution

Solution

Derivation of the Solution to the Difference Equation for a ? 1

Derivation of the Solution to the Difference Equation for a = 1

Appendix Financial Terms

Saving Accounts

Annuities

Check Your Understanding 10.5

Exercises 10.5

Technology Exercises

Solutions to Check Your Understanding 10.5

Chapter 10 Summary

Chapter 10 Fundamental Concept Check Exercises

Chapter 10 Review Exercises

Conceptual Exercises

Chapter 11 Logic

11.1 Introduction to Logic

Statements

Solution

Simple Statements

Solution

Connectives

Solution

Symbolic Form of Compound Statements

Solution

Translating from Symbols to English

Solution

Translating from English to Symbols

Solution

Check Your Understanding 11.1

Exercises 11.1

Solutions to Check Your Understanding 11.1

11.2 Truth Tables

Defining Statement Forms

Solution

Constructing a Truth Table

Solution

Constructing a Truth Table

First Solution

Second Solution

Constructing Truth Tables

Solution

Compressing Truth Tables

Solution

11.3 Implication

Hypothesis and Conclusion

Solution

Truth Value of an Implication

Solution

Using a Truth Table for an Implication

Solution

The Conjunction of a Statement and Its Converse

Solution

Implication and Common Language

Order of Precedence

Comparing Truth Tables

Solution

Order of Precedence

Solution

Implications and Computer Languages

Implication and Computing

Solution

Check Your Understanding 11.3

Exercises 11.3

Solutions to Check Your Understanding 11.3

11.4 Logical Implication and Equivalence

Tautology and Contradiction

Solution

Logical Equivalence

Solution

11.5 Valid Argument

Valid Argument

Solution

Multiple-Step Argument

Solution

Verify Validity

Solution

Verify Validity

Solution

Indirect Proof

Using an Indirect Proof

Solution

Invalid Argument

Invalid Argument

Solution

Testing an Argument

First Solution

Second Solution

Check Your Understanding 11.5

Exercises 11.5

Solutions to Check Your Understanding 11.5

11.6 Predicate Calculus

Analyzing Predicates

Solution

Truth of a Predicate in a Fixed Universe

Solution

Universal and Existential Quantifiers

Solution

Negation of a Universal Statement

Solution

Negation of an Existential Statement

Solution

Negation of Statements with Quantifiers

Solution

Predicates with Two Variables

Solution

English Translation and Truth Value for Predicates with Two Variables

Solution

Analogy between Sets and Statements

Sets and Statements

Solution

Colloquial Usage

Check Your Understanding 11.6

Exercises 11.6

Solutions to Check Your Understanding 11.6

11.7 Logic Circuits

Drawing a Circuit from a Logical Statement

Solution

Finding the Logical Statement from a Circuit

Solution

Simplifying a Circuit

Solution

Circuits with nand, nor, and xor

Check Your Understanding 11.7

Exercises 11.7

Technology Exercises

Solutions to Check Your Understanding 11.7

Chapter 11 Summary

Chapter 11 Fundamental Concept Check Exercises

Chapter 11 Review Exercises

Conceptual Exercises

Chapter 12 Difference Equations and Mathematical Models

12.1 Introduction to Difference Equations

Balance Equation

Solution

Balance Equation

Solution

Solving a Difference Equation

Solution

Solving a Difference Equation

Solution

Analyzing a Difference Equation

Solution

Analyzing a Difference Equation

Solution

Population Modeling

Solution

Check Your Understanding 12.1

Exercises 12.1

Technology Exercises

Solutions to Check Your Understanding 12.1

12.2 Difference Equations and Interest

Solution

Simple Interest

Solution

Compound Interest

Solution

Solution

Solution

Consumer Loans

Solution

Solution

Verification of Formula (1)

Verification of Formula (2)

Check Your Understanding 12.2

Exercises 12.2

Technology Exercises

Solutions to Check Your Understanding 12.2

12.3 Graphing Difference Equations

Constant Graphs

Graphing a Difference Equation

Solution

Vertical Direction of a Difference Equation

Solution

Vertical Direction of a Difference Equation

Solution

Vertical Direction and Long-Run Behavior of a Difference Equation

Solution

Applying Test 2

Solution

Vertical Direction and Long-Run Behavior of a Difference Equation

Solution

Vertical Direction and Long-Run Behavior of a Difference Equation

Solution

Verification of Test 2

Graphing a Difference Equation

Solution

Graphing a Difference Equation

Solution

Using a Mortgage Balance Equation

Solution

Solutions to Check Your Understanding 12.3

Exercises 12.3

Technology Exercises

Solutions to Check Your Understanding 12.3

12.4 Mathematics of Personal Finance

Check Your Understanding 12.4

Exercises 12.4

Technology Exercises

Solutions to Check Your Understanding 12.4

12.5 Modeling with Difference Equations

Proportionality

Check Your Understanding 12.5

Exercises 12.5

Technology Exercises

Solutions to Check Your Understanding 12.5

Chapter 12 Summary

Chapter 12 Fundamental Concept Check Exercises

Chapter 12 Review Exercises

Appendices

Appendix A Areas Under the Standard Normal Curve

Appendix B Using the TI-84 Plus Graphing Calculator

Lists

Histograms

TVM Solver

Finance Functions

Appendix C Spreadsheet Fundamentals

Installing Add-Ins

Entering an Address into a Formula by Pointing

Converting Formulas to Values

Summing a Column or Row of Numbers

Using Solver to Solve a System of Linear Equations

Simulating a Random Sample from a Probability Distribution

Creating a Frequency Distribution Table and Histogram for the Preceding Random Sample Generated

Using Goal Seek to Solve an Equation Having One Unknown

Using the Insert Function Dialog Box

Using Excel’s Financial Functions

Appendix D Wolfram|Alpha

Learning Objectives

Chapter 1: Linear Equations and Straight Lines

1.1?Coordinate Systems and Graphs

1.2?The Slope of a Straight Line

1.3?The Intersection Point of a Pair of Lines

1.4?The Method of Least Squares

Chapter 2: Matrices

2.1?Systems of Linear Equations with Unique Solutions

2.2?General Systems of Linear Equations

2.3?Arithmetic Operations on Matrices

2.4?The Inverse of a Square Matrix

2.5?The Gauss-Jordan Method for Calculating Inverses

2.6?Input-Output Analysis

Chapter 3: Linear Programming, A Geometric Approach

3.1?Linear Inequalities

3.2?A Linear Programming Problem

3.3?Fundamental Theorem of Linear Programming

3.4?Linear Programming

Chapter 4: The Simplex Method

4.1?Slack Variables and the Simplex Tableau

4.2 ?The Simplex Method I: Maximum Problems

4.3?The Simplex Method II: Nonstandard and Minimum Problems

4.4?Sensitivity Analysis and Matrix Formulations of Linear Programming Problems

4.5?Duality

Chapter 5: Sets and Counting

5.1?Sets

5.2?A Fundamental Principle of Counting

5.3?Venn Diagrams and Counting

5.4?The Multiplication Principle

5.5?Permutations and Combinations

5.6?Further Counting Techniques

5.7?The Binomial Theorem

5.8?Multinomial Coefficients and Partitions

Chapter 6: Probability

6.1?Experiments, Outcomes, Sample Spaces, and Events

6.2?Assignment of Probabilities

6.3 ?Calculating Probabilities of Events

6.4?Conditional Probability and Independence

6.5?Tree Diagrams

6.6?Bayes’ Theorem, Natural Frequencies

6.7?Simulation

Chapter 7: Probability and Statistics

7.1?Visual Representations of Data

7.2?Frequency and Probability Distributions

7.3?Binomial Trials

7.4?The Mean

7.5?The Variance and Standard Deviation

7.6?The Normal Distribution

7.7?Normal Approximation to the Binomial Distribution

Chapter 8: Markov Processes

8.1?The Transition Matrix

8.2?Regular Stochastic Matrices

8.3?Absorbing Stochastic Matrices

Chapter 9: The Theory of Games

9.1?Games and Strategies

9.2?Mixed Strategies

9.3?Determining Optimal Mixed Strategies

Chapter 10: The Mathematics of Finance

10.1?Interest

10.2?Annuities

10.3?Amortization of Loans

10.4?Personal Financial Decisions

10.5?A Unifying Equation

Chapter 11: Logic

11.1?Introduction to Logic

11.2?Truth Tables

11.3?Implication

11.4?Logical Implication and Equivalence

11.5?Valid Argument

11.6?Predicate Calculus

11.7?Logic Circuits

Chapter 12: Difference Equations and Mathematical Models (Online)

12.1?Introduction to Difference Equations

12.2?Difference Equations and Interest

12.3?Graphing Difference Equations

12.4?Mathematics of Personal Finance

12.5?Modeling with Difference Equations

Selected Answers

Chapter 1

Exercises 1.1, page 5

Exercises 1.2, page 15

Exercises 1.3, page 23

Exercises 1.4, page 30

Chapter 1: Review Exercises, page 36

Chapter 2 Exercises 2.1, page 47

Exercises 2.2, page 56

Exercises 2.3, page 68

Exercises 2.4, page 78

Exercises 2.5, page 82

Exercises 2.6, page 88

Chapter 2: Review Exercises, page 93

Chapter 3

Exercises 3.1, page 103

Exercises 3.2, page 109

Exercises 3.3, page 117

Exercises 3.4, page 129

Chapter 3: Review Exercises, page 133

Feasible Sets for Chapter 3

Exercises 3.3

Exercises 3.4

Chapter 3: Review Exercises

Chapter 4

Exercises 4.1, page 142

Exercises 4.2, page 151

Exercises 4.3, page 159

Exercises 4.4, page 167

Exercises 4.5, page 177

Chapter 4: Review Exercises, page 182

Chapter 5

Exercises 5.1, page 189

Exercises 5.2, page 195

Exercises 5.3, page 200

Exercises 5.4, page 206

Exercises 5.5, page 213

Exercises 5.6, page 219

Exercises 5.7, page 225

Exercises 5.8, page 230

Chapter 5: Review Exercises, page 234

Chapter 6

Exercises 6.1, page 244

Exercises 6.2, page 254

Exercises 6.3, page 261

Exercises 6.4, page 271

Exercises 6.5, page 279

Exercises 6.6, page 286

Chapter 6: Review Exercises, page 296

Chapter 7

Exercises 7.1, page 305

Exercises 7.2, page 315

Exercises 7.3, page 322

Exercises 7.4, page 333

Exercises 7.5, page 343

Exercises 7.6, page 357

Exercises 7.7, page 362

Chapter 7: Review Exercises, page 366

Chapter 8

Exercises 8.1, page 378

Exercises 8.2, page 387

Exercises 8.3, page 396

Chapter 8: Review Exercises, page 400

Chapter 9

Exercises 9.1, page 409

Exercises 9.2, page 415

Exercises 9.3, page 424

Chapter 9: Review Exercises, page 427

Chapter 10

Exercises 10.1, page 437

Exercises 10.2, page 446

Exercises 10.3, page 456

Exercises 10.4, page 471

Exercises 10.5, page 482

Chapter 10: Review Exercises, page 487

Chapter 11

Exercises 11.1, page 495

Exercises 11.2, page 502

Exercises 11.3, page 508

Exercises 11.4, page 516

Exercises 11.5, page 523

Exercises 11.6, page 532

Exercises 11.7, page 536

Chapter 11: Review Exercises, page 540

Chapter 12

Exercises 12.1, page D6

Exercises 12.2, page D12

Exercises 12.3, page D20

Exercises 12.4, page D25

Exercises 12.5, page D29

Chapter 12: Answers to Fundamental Concept Check Exercises, page D32

Chapter 12: Review Exercises, page D32

Index of Applications

Business and Economics

Social Sciences

Biology and Medicine

General Interest

Index