Calculus for Business, Economics, Life Sciences, and Social Sciences GLOBAL 14th Edition, ISBN-13: 978-1292266152

Description

Calculus for Business, Economics, Life Sciences, and Social Sciences GLOBAL 14th Edition, ISBN-13: 978-1292266152

[PDF eBook eTextbook]

• Publisher: ‎ Pearson; Global 14th edition (December 12, 2018)
• Language: ‎ English
• ‎800 pages
• ISBN-10: ‎ 1292266155
• ISBN-13: ‎ 978-1292266152

For two-semester courses in Calculus.

Helps students “get the idea.”

Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text in its field – with special emphasis on applications and prerequisite skills – and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh and updated data and applications.

Features:

– Matched Problems accompanying each of the more than 300 worked examples to

help students grasp concepts and assess their understanding

– Explore and Discuss problems that help to introduce new concepts or build upon a

current topic

– Exercise sets differentiated by level of difficulty that allow instructors to craft

assignments according to their students’ levels

– Additional Conceptual Questions to assess concepts and vocabulary

– Setup & Solve exercises that require students to show how they set up a

problem along with the solution

– Interactive Figures that illustrate key concepts and allow manipulation

Table of Contents:

Preface 6

Diagnostic Prerequisite Test 17

Chapter 1 Functions and Graphs 19

1.1 Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . .20

1.2 Elementary Functions: Graphs and Transformations . . . . . . . .35

1.3 Linear and Quadratic Functions . . . . . . . . . . . . . . . . .47

1.4 Polynomial and Rational Functions . . . . . . . . . . . . . . . .69

1.5 Exponential Functions . . . . . . . . . . . . . . . . . . . . . .80

1.6 Logarithmic Functions . . . . . . . . . . . . . . . . . . . . . .90

1.7 Right Triangle Trigonometry . . . . . . . . . . . . . . . . . . 102

1.8 Trigonometric Functions . . . . . . . . . . . . . . . . . . . . 109

Chapter 1 Summary and Review . . . . . . . . . . . . . . . . . . 117

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 121

Chapter 2 Limits and the Derivative 127

2.1 Introduction to Limits . . . . . . . . . . . . . . . . . . . . . 128

2.2 Infinite Limits and Limits at Infinity . . . . . . . . . . . . . . . 141

2.3 Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . 154

2.4 The Derivative . . . . . . . . . . . . . . . . . . . . . . . . 166

2.5 Basic Differentiation Properties. . . . . . . . . . . . . . . . . 181

2.6 Differentials . . . . . . . . . . . . . . . . . . . . . . . . . 191

2.7 Marginal Analysis in Business and Economics. . . . . . . . . . 198

Chapter 2 Summary and Review . . . . . . . . . . . . . . . . . . 209

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 210

Chapter 3 Additional Derivative Topics 216

3.1 The Constant e and Continuous Compound Interest . . . . . . . 217

3.2 Derivatives of Exponential and Logarithmic Functions . . . . . . 223

3.3 Derivatives of Trigonometric Functions . . . . . . . . . . . . . 232

3.4 Derivatives of Products and Quotients . . . . . . . . . . . . . 238

3.5 The Chain Rule . . . . . . . . . . . . . . . . . . . . . . . . 246

3.6 Implicit Differentiation . . . . . . . . . . . . . . . . . . . . . 257

3.7 Related Rates. . . . . . . . . . . . . . . . . . . . . . . . . 264

3.8 Elasticity of Demand . . . . . . . . . . . . . . . . . . . . . 270

Chapter 3 Summary and Review . . . . . . . . . . . . . . . . . . 278

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 279

Chapter 4 Graphing and Optimization 282

4.1 First Derivative and Graphs . . . . . . . . . . . . . . . . . . 283

4.2 Second Derivative and Graphs . . . . . . . . . . . . . . . . 299

4.3 L’Hôpital’s Rule . . . . . . . . . . . . . . . . . . . . . . . . 316

4.4 Curve-Sketching Techniques . . . . . . . . . . . . . . . . . . 325

4.5 Absolute Maxima and Minima. . . . . . . . . . . . . . . . . 338

4.6 Optimization . . . . . . . . . . . . . . . . . . . . . . . . . 346

Chapter 4 Summary and Review . . . . . . . . . . . . . . . . . . 359

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 360

Chapter 5 Integration 364

5.1 Antiderivatives and Indefinite Integrals . . . . . . . . . . . . . 365

5.2 Integration by Substitution . . . . . . . . . . . . . . . . . . . 377

5.3 Differential Equations; Growth and Decay . . . . . . . . . . . 389

5.4 The Definite Integral. . . . . . . . . . . . . . . . . . . . . . 400

5.5 The Fundamental Theorem of Calculus . . . . . . . . . . . . . 411

5.6 Area Between Curves . . . . . . . . . . . . . . . . . . . . . 423

Chapter 5 Summary and Review . . . . . . . . . . . . . . . . . . 433

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 436

Chapter 6 Additional Integration Topics 440

6.1 Integration by Parts . . . . . . . . . . . . . . . . . . . . . . 441

6.2 Other Integration Methods. . . . . . . . . . . . . . . . . . . 448

6.3 Applications in Business and Economics . . . . . . . . . . . . 460

6.4 Integration of Trigonometric Functions . . . . . . . . . . . . . 472

Chapter 6 Summary and Review . . . . . . . . . . . . . . . . . . 477

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 478

Chapter 7 Multivariable Calculus 481

7.1 Functions of Several Variables . . . . . . . . . . . . . . . . . 482

7.2 Partial Derivatives. . . . . . . . . . . . . . . . . . . . . . . 491

7.3 Maxima and Minima . . . . . . . . . . . . . . . . . . . . . 500

7.4 Maxima and Minima Using Lagrange Multipliers . . . . . . . . 508

7.5 Method of Least Squares . . . . . . . . . . . . . . . . . . . 517

7.6 Double Integrals over Rectangular Regions . . . . . . . . . . . 528

7.7 Double Integrals over More General Regions . . . . . . . . . . 537

Chapter 7 Summary and Review . . . . . . . . . . . . . . . . . . 546

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 548

Chapter 8 Differential Equations 551

8.1 Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . 552

8.2 Separation of Variables . . . . . . . . . . . . . . . . . . . . 562

8.3 First-Order Linear Differential Equations. . . . . . . . . . . . . 574

Chapter 8 Summary and Review . . . . . . . . . . . . . . . . . . 585

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 587

Chapter 9 Taylor Polynomials and Infinite Series 589

9.1 Taylor Polynomials. . . . . . . . . . . . . . . . . . . . . . 590

9.2 Taylor Series . . . . . . . . . . . . . . . . . . . . . . . . 603

9.3 Operations on Taylor Series . . . . . . . . . . . . . . . . . 614

9.4 Approximations Using Taylor Series. . . . . . . . . . . . . . 624

Chapter 9 Summary and Review . . . . . . . . . . . . . . . . . . 633

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 635

Chapter 10 Probability and Calculus 637

10.1 Improper Integrals . . . . . . . . . . . . . . . . . . . . . . 638

10.2 Continuous Random Variables . . . . . . . . . . . . . . . . 646

10.3 Expected Value, Standard Deviation, and Median . . . . . . . 657

10.4 Special Probability Distributions . . . . . . . . . . . . . . . 667

Chapter 10 Summary and Review . . . . . . . . . . . . . . . . . 678

Review Exercises . . . . . . . . . . . . . . . . . . . . . . . . . 679

Appendix A Basic Algebra Review 682

A.1 Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . 682

A.2 Operations on Polynomials . . . . . . . . . . . . . . . . . . 688

A.3 Factoring Polynomials . . . . . . . . . . . . . . . . . . . . . 694

A.4 Operations on Rational Expressions . . . . . . . . . . . . . . 700

A.5 Integer Exponents and Scientific Notation . . . . . . . . . . . 706

A.6 Rational Exponents and Radicals. . . . . . . . . . . . . . . . 710

A.7 Quadratic Equations . . . . . . . . . . . . . . . . . . . . . 716

Appendix B Special Topics (online) A1

B.1 Sequences, Series, and Summation Notation . . . . . . . . . . A1

B.2 Arithmetic and Geometric Sequences. . . . . . . . . . . . . . A7

B.3 Binomial Theorem. . . . . . . . . . . . . . . . . . . . . . . A13

B.4 Interpolating Polynomials and Divided Differences. . . . . . . . A16

Appendix C Tables 725

Table 1: Integration Formulas . . . . . . . . . . . . . . . . . . . . 725

Table 2: Area under the Standard Normal Curve . . . . . . . . . . 728

Answers A-1

Index I-1

Index of Applications I-10

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