Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package

******Note:**You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase __both__the physical text and MyMathLab, search for ISBN-10:** 0321935446 /ISBN-13: **9780321935441**. That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078.** **MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.** **Mathematics with Applications in the Management, Natural, and Social Sciences** presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The **Eleventh Edition** retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets. Front cover 1 Title Page 3 Copyright Page 4 Acknowledgments 17 Contents 7 Preface 11 To the Student 19 Prerequisite Skills Test 20 Calculus Readiness Test 22 CHAPTER 1 Algebra and Equations 23 1.1 The Real Numbers 23 1.2 Polynomials 33 1.3 Factoring 40 1.4 Rational Expressions 46 1.5 Exponents and Radicals 53 1.6 First-Degree Equations 65 1.7 Quadratic Equations 74 Summary and Review 82 CASE STUDY 1 Consumers Often Need to Just Do the Math 85 CHAPTER 2 Graphs, Lines, and Inequalities 87 2.1 Graphs 87 2.2 Equations of Lines 97 2.3 Linear Models 109 2.4 Linear Inequalities 117 2.5 Polynomial and Rational Inequalities 123 Summary and Review 131 CASE STUDY 2 Using Extrapolation and Interpolation for Prediction 134 CHAPTER 3 Functions and Graphs 137 3.1 Functions 137 3.2 Graphs of Functions 145 3.3 Applications of Linear Functions 156 3.4 Quadratic Functions and Applications 167 3.5 Polynomial Functions 180 3.6 Rational Functions 190 Summary and Review 199 CASE STUDY 3 Architectural Arches 203 CHAPTER 4 Exponential and Logarithmic Functions 205 4.1 Exponential Functions 205 4.2 Applications of Exponential Functions 214 4.3 Logarithmic Functions 222 4.4 Logarithmic and Exponential Equations 231 Summary and Review 240 CASE STUDY 4 Gapminder.org 243 CHAPTER 5 Mathematics of Finance 247 5.1 Simple Interest and Discount 247 5.2 Compound Interest 254 5.3 Annuities, Future Value, and Sinking Funds 265 5.4 Annuities, Present Value, and Amortization 274 Summary and Review 285 CASE STUDY 5 Continuous Compounding 289 CHAPTER 6 Systems of Linear Equations and Matrices 292 6.1 Systems of Two Linear Equations in Two Variables 293 6.2 Larger Systems of Linear Equations 299 6.3 Applications of Systems of Linear Equations 311 6.4 Basic Matrix Operations 320 6.5 Matrix Products and Inverses 327 6.6 Applications of Matrices 339 Summary and Review 351 CASE STUDY 6 Matrix Operations and Airline Route Maps 356 CHAPTER 7 Linear Programming 359 7.1 Graphing Linear Inequalities in Two Variables 360 7.2 Linear Programming: The Graphical Method 368 7.3 Applications of Linear Programming 374 7.4 The Simplex Method: Maximization 381 7.5 Maximization Applications 393 7.6 The Simplex Method: Duality and Minimization 400 7.7 The Simplex Method: Nonstandard Problems 409 Summary and Review 421 CASE STUDY 7 Cooking with Linear Programming 425 CHAPTER 8 Sets and Probability 427 8.1 Sets 427 8.2 Applications of Venn Diagrams and Contingency Tables 436 8.3 Introduction to Probability 444 8.4 Basic Concepts of Probability 454 8.5 Conditional Probability and Independent Events 463 8.6 Bayes’ Formula 475 Summary and Review 480 CASE STUDY 8 Medical Diagnosis 485 CHAPTER 9 Counting, Probability Distributions, and Further Topics in Probability 487 9.1 Probability Distributions and Expected Value 487 9.2 The Multiplication Principle, Permutations, and Combinations 497 9.3 Applications of Counting 509 9.4 Binomial Probability 515 9.5 Markov Chains 520 9.6 Decision Making 531 Summary and Review 535 CASE STUDY 9 Quick Draw® from the New York State Lottery 539 CHAPTER 10 Introduction to Statistics 541 10.1 Frequency Distributions 541 10.2 Measures of Center 550 10.3 Measures of Variation 559 10.4 Normal Distributions and Boxplots 567 10.5 Normal Approximation to the Binomial Distribution 579 Summary and Review 585 CASE STUDY 10 Standard Deviation as a Measure of Risk 588 CHAPTER 11 Differential Calculus 591 11.1 Limits 592 11.2 One-Sided Limits and Limits Involving Infinity 603 11.3 Rates of Change 615 11.4 Tangent Lines and Derivatives 626 11.5 Techniques for Finding Derivatives 641 11.6 Derivatives of Products and Quotients 654 11.7 The Chain Rule 662 11.8 Derivatives of Exponential and Logarithmic Functions 674 11.9 Continuity and Differentiability 683 Summary and Review 692 CASE STUDY 11 Price Elasticity of Demand 697 CHAPTER 12 Applications of the Derivative 700 12.1 Derivatives and Graphs 700 12.2 The Second Derivative 714 12.3 Optimization Applications 724 12.4 Implicit Differentiation 738 12.5 Related Rates 746 12.6 Curve Sketching 753 Summary and Review 761 CASE STUDY 12 A Total Cost Model for a Training Program 765 CHAPTER 13 Integral Calculus 767 13.1 Antiderivatives 767 13.2 Integration by Substitution 777 13.3 Area and the Definite Integral 785 13.4 The Fundamental Theorem of Calculus 794 13.5 Applications of Integrals 806 13.6 Tables of Integrals (Optional) 818 13.7 Differential Equations 820 Summary and Review 830 CASE STUDY 13 Bounded Population Growth 834 CHAPTER 14 Multivariate Calculus 836 14.1 Functions of Several Variables 836 14.2 Partial Derivatives 848 14.3 Extrema of Functions of Several Variables 858 14.4 Lagrange Multipliers 867 Summary and Review 876 CASE STUDY 14 Global Warming and the Method of Least Squares 878 Appendix A: Graphing Calculators 880 Appendix B: Tables 881 Table 1: Formulas from Geometry 881 Table 2: Areas under the Normal Curve 882 Table 3: Integrals 884 Appendix C: Learning Objectives 885 Appendix D: Solutions to Prerequisite Skills Test and Calculus Readiness Test 891 Answers to Selected Exercises 895 Additional Instructor Answers 933 Index of Companies, Products, and Agencies 981 A 981 B 981 C 981 D 981 E 981 F 981 G 981 H 981 I 981 J 981 K 981 L 981 M 981 N 981 O 982 P 982 Q 982 R 982 S 982 T 982 U 982 V 982 W 982 X 982 Index of Applications 983 Subject Index 988 A 988 B 988 C 988 D 989 E 990 F 990 G 991 H 991 I 992 J 992 L 992 M 993 N 994 O 994 P 994 Q 995 R 995 S 996 T 997 U 998 V 998 W 998 X 998 Y 998 Z 998 Photo Credits 999 978-0-321-93107-8 Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321935446 /ISBN-13: 9780321935441 . That package includes ISBN-10: 0321431308/ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13: 9780321654069 and ISBN-10: 0321931076/ ISBN-13: 9780321931078. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets.