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Tables of Contents for Student's Solutions Manual to Accompany Finite Mathematics and Calculus With Applications

Chapter/Section Title

Page #

Page Count

To The Student

xiii

Algebra Reference

Polynomials

1

1

Factoring

2

1

Rational Expressions

3

4

Equations

7

4

Inequalities

11

9

Exponents

20

3

Radicals

23

4

Linear Functions

Slope and Equations of a Line

27

4

Linear Functions

31

3

Linear Mathematical Models

34

3

Constructing a Mathematical Model

37

12

Review Exercises

41

3

Extended Application: Using Marginal Cost to Estimate the Cost of Educating Immigrants

44

1

Extended Application: Depreciation

44

2

Test

46

2

Test Answers

48

1

Systems of Linear Equations and Matrices

Solutions of Linear Systems by the Echelon Method

49

5

Solutions of Linear Systems by the Gauss-Jordan Method

54

10

Addition and Subtraction of Matrices

64

2

Multiplication of Matrices

66

3

Matrix Inverses

69

7

Input-Output Models

76

13

Review Exercises

79

6

Extended Application: Contagion

85

1

Test

86

2

Test Answers

88

1

Linear Programming: The Graphical Method

Graphing Linear Inequalities

89

3

Solving Linear Programming Problems Graphically

92

3

Applications of Linear Programming

95

9

Review Exercises

99

3

Test

102

1

Test Answers

103

1

Linear Programming: The Simplex Method

Slack Variables and the Pivot

104

3

Maximization Problems

107

7

Minimization Problems; Duality

114

6

Nonstandard Problems

120

20

Review Exercises

129

5

Extended Application: A Minimum Cost Balanced Organic Fertilizer Mix

134

1

Test

135

3

Test Answers

138

2

Mathematics of Finance

Simple and Compound Interest

140

2

Future Value of an Annuity

142

4

Present Value of an Annuity; Amortization

146

12

Review Exercises

150

4

Extended Application: Time, Money, and Polynomials

154

2

Test

156

1

Test Answers

157

1

Sets and Probability

Sets

158

2

Applications of Venn Diagrams

160

6

Introduction to Probability

166

2

Basic Concepts of Probability

168

4

Conditional Probability; Independent Events

172

3

Bayes' Theorem

175

12

Review Exercises

178

4

Extended Application: Medical Diagnosis

182

2

Test

184

2

Test Answers

186

1

Counting Principles, Further Probability Topics

The Multiplication Principle; Permutations

187

2

Combinations

189

3

Probability Applications of Counting Principles

192

3

Binomial Probability

195

3

Probability Distributions; Expected Value

198

12

Review Exercises

202

4

Extended Application: Optimal Inventory for a Service Truck

206

1

Test

207

2

Test Answers

209

1

Statistics

Frequency Distributions; Measures of Central Tendency

210

2

Measures of Variation

212

3

The Normal Distribution

215

3

Normal Approximation to the Binomial Distribution

218

10

Review Exercises

221

4

Test

225

2

Test Answers

227

1

Markov Chains

Basic Properties of Markov Chains

228

4

Regular Markov Chains

232

4

Absorbing Markov Chains

236

12

Review Exercises

239

4

Extended Application: Cavities and Restoration

243

2

Test

245

2

Test Answers

247

1

Game Theory

Strictly Determined Games

248

2

Mixed Strategies

250

3

Game Theory and Linear Programming

253

18

Review Exercises

261

6

Extended Application: Decision Making in the Military

267

1

Test

268

2

Test Answers

270

1

Nonlinear Functions

Properties of Functions

271

4

Quadratic Functions

275

5

Translations and Reflections of Functions

280

2

Polynomial and Rational Functions

282

5

Exponential Functions

287

3

Logarithmic Functions

290

5

Applications: Growth and Decay; Mathematics of Finance

295

17

Review Exercises

299

7

Extended Application: Characteristics of the Monkeyface Prickleback

306

1

Test

307

3

Test Answers

310

2

The Derivative

Limits

312

4

Continuity

316

2

Rates of Change

318

5

Definition of the Derivative

323

5

Graphical Differentiation

328

10

Review Exercises

329

5

Test

334

3

Test Answers

337

1

Calculating the Derivative

Techniques for Finding Derivatives

338

3

Derivatives of Products and Quotients

341

3

The Chain Rule

344

4

Derivatives of Exponential Functions

348

2

Derivatives of Logarithmic Functions

350

10

Review Exercises

353

4

Test

357

2

Test Answers

359

1

Graphs And the Derivative

Increasing and Decreasing Functions

360

3

Relative Extrema

363

5

Higher Derivatives, Concavity, and the Second Derivative Test

368

6

Curve Sketching

374

16

Review Exercises

381

5

Test

386

2

Test Answers

388

2

Applications of the Derivative

Absolute Extrema

390

3

Applications of Extrema

393

7

Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand

400

2

Implicit Differentiation

402

4

Related Rates

406

2

Differentials: Linear Approximation

408

11

Review Exercises

410

4

Extended Application: A Total Cost Model for a Training Program

414

1

Extended Application: The Effect of Oil Price on the Optimal Speed of Ships

415

1

Test

416

2

Test Answers

418

1

Integration

Antiderivatives

419

4

Substitution

423

3

Area and the Definite Integral

426

5

The Fundamental Theorem of Calculus

431

6

The Area Between Two Curves

437

6

Numerical Integration

443

16

Review Exercises

449

5

Extended Application: Estimating Depletion Dates for Minerals

454

1

Test

455

3

Test Answers

458

1

Further Techniques and Applications of Integration

Integration by Parts; Tables of Integrals

459

4

Volume and Average Value

463

3

Continuous Money Flow

466

3

Improper Integrals

469

4

Solutions of Elementary and Separable Differential Equations

473

18

Review Exercises

480

6

Extended Application: How Much Does a Warranty Cost?

486

1

Test

487

3

Test Answers

490

1

Multivariable Calculus

Functions of Several Variables

491

2

Partial Derivatives

493

5

Maxima and Minima

498

5

Lagrange Multipliers

503

5

Total Differentials and Approximations

508

2

Double Integrals

510

19

Review Exercises

517

6

Extended Application: Lagrange Multipliers for a Predator

523

3

Test

526

2

Test Answers

528

1

Probability And Calculus

Continuous Probability Models

529

3

Expected Value and Variance of Continuous Random Variables

532

4

Special Probability Density Functions

536

10

Review Exercises

539

3

Extended Application: A Crop-Planting Model

542

2

Test

544

2

Test Answers

546