Student Solutions Manual for Mathematics with Applications in the Management, Natural, and Social Sciences

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Lial's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Lial, who received bachelor's and master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often find their way into her books as applications, exercise sets, and feature sets. Her interest in archeology lead to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.  Thomas W. Hungerford (late) received his bachelor’s degree from Holy Cross and his PhD from the University of Chicago. He taught for many years at the University of Washington (Seattle) before moving to Cleveland State University in 1980 and then to St. Louis University to in 2003. He wrote a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or coauthor of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Pearson. He passionately promoted the effective use of technology in mathematics instruction. Dr. Hungerford was also a referee and reviewer for various mathematical journals and served on National Science Foundation panels for selecting grant recipients.  John P. Holcomb, Jr. received his bachelor's degree from St. Bonaventure University and his PhD from the University at Albany, State University of New York. He is professor and chair and frequently publishes with researchers in a variety of disciplines where he provides statistical analysis. Dr. Holcomb has also authored several papers in statistical education and is very active in the American Statistical Association and the Mathematical Association of America. He was named a Carnegie Scholar in 2000 by the Carnegie Foundation for the Advancement of Teaching and Learning and in 2003 received the Waller Award from the American Statistical Association for outstanding teaching of introductory statistics.   Bernadette Mullins received her bachelor’s degree from Western Illinois University and her PhD from the University of Iowa. She is currently professor of mathematics at Birmingham-Southern College (BSC) in Birmingham, Alabama, where she arrived in 2000. She has published numerous articles in the fields of commutative ring theory and mathematics education. She has served as co-investigator for several National Science Foundation grants related to improving mathematics education. Dr. Mullins has won four awards for her excellence in teaching, including the Bob Whetstone award at BSC. Throughout her career, she has been active in Project NExT (New Experiences in Teaching) and the Mathematical Association of America, and was elected Alabama State Director of the MAA in 2013.

• Prerequisite Skills TestCalculus Readiness Test1. Algebra and Equations 1.1 The Real Numbers1.2 Polynomials1.3 Factoring1.4 Rational Expressions1.5 Exponents and Radicals1.6 First-Degree Equations1.7 Quadratic EquationsSummary and ReviewCASE STUDY 1. Energy Efficiency and Long-Term Cost Savings2. Graphs, Lines, and Inequalities 2.1 Graphs2.2 Equations of Lines2.3 Linear Models2.4 Linear Inequalities2.5 Polynomial and Rational InequalitiesSummary and ReviewCASE STUDY 2. Using Extrapolation and Interpolation for Prediction3. Functions and Graphs 3.1 Functions3.2 Graphs of Functions3.3 Applications of Linear Functions3.4 Quadratic Functions and Applications3.5 Polynomial Functions3.6 Rational FunctionsSummary and ReviewCASE STUDY 3. Maximizing Profit4. Exponential and Logarithmic Functions 4.1 Exponential Functions4.2 Applications of Exponential Functions4.3 Logarithmic Functions4.4 Logarithmic and Exponential EquationsSummary and ReviewCASE STUDY 4. Gapminder.org5. Mathematics of Finance 5.1 Simple Interest and Discount5.2 Compound Interest5.3 Annuities, Future Value, and Sinking Funds5.4 Annuities, Present Value, and AmortizationSummary and ReviewCASE STUDY 5. Investing in Stocks and Using the Rule of 726. Systems of Linear Equations and Matrices 6.1 Systems of Two Linear Equations in Two Variables6.2 Larger Systems of Linear Equations6.3 Applications of Systems of Linear Equations6.4 Basic Matrix Operations6.5 Matrix Products and Inverses6.6 Applications of MatricesSummary and ReviewCASE STUDY 6. Airline Route Maps7. Linear Programming 7.1 Graphing Linear Inequalities in Two Variables7.2 Linear Programming: The Graphical Method7.3 Applications of Linear Programming7.4 The Simplex Method: Maximization7.5 Maximization Applications7.6 The Simplex Method: Duality and Minimization7.7 The Simplex Method: Nonstandard ProblemsSummary and ReviewCASE STUDY 7. Cooking with Linear Programming8. Sets and Probability 8.1 Sets8.2 Applications of Venn Diagrams and Contingency Tables8.3 Introduction to Probability8.4 Basic Concepts of Probability8.5 Conditional Probability and Independent Events8.6 Bayes' FormulaSummary and ReviewCASE STUDY 8. Medical Diagnosis9. Counting, Probability Distributions, and Further Topics in Probability 9.1 Probability Distributions and Expected Value9.2 The Multiplication Principle, Permutations, and Combinations9.3 Applications of Counting9.4 Binomial Probability9.5 Markov Chains9.6 Decision MakingSummary and ReviewCASE STUDY 9. Quick Draw® from the New York State Lottery10. Introduction to Statistics 10.1 Frequency Distributions10.2 Measures of Center10.3 Measures of Variation and Boxplots10.4 Normal DistributionsSummary and ReviewCASE STUDY 10. Standard Deviation as a Measure of Risk11. Differential Calculus 11.1 Limits11.2 One-Sided Limits and Limits Involving Infinity11.3 Rates of Change11.4 Tangent Lines and Derivatives11.5 Techniques for Finding Derivatives11.6 Derivatives of Products and Quotients11.7 The Chain Rule11.8 Derivatives of Exponential and Logarithmic Functions11.9 Continuity and DifferentiabilitySummary and ReviewCASE STUDY 11. Price Elasticity of Demand12. Applications of the Derivative 12.1 Local Extrema12.2 The Second Derivative12.3 Optimization Applications12.4 Implicit Differentiation12.5 Related Rates12.6 Curve SketchingSummary and ReviewCASE STUDY 12. A Total Cost Model for a Training Program13. Integral Calculus 13.1 Antiderivatives13.2 Integration by Substitution13.3 Integration by Parts13.4 Area and the Definite Integral13.5 The Fundamental Theorem of Calculus13.6 Applications of Integrals13.7 Differential EquationsSummary and ReviewCASE STUDY 13. Bounded Population Growth14. Multivariate Calculus 14.1 Functions of Several Variables14.2 Partial Derivatives14.3 Extrema of Functions of Several Variables14.4 Lagrange MultipliersSummary and ReviewCASE STUDY 14. Global Warming and the Method of Least SquaresAPPENDICES A. Areas under the Normal CurveB. Solutions to Prerequisite Skills Test and Calculus Readiness TestC. Table of IntegralsAnswers to Selected Exercises Index of Companies, Products, and Agencies Index of Applications Subject Index Photo Credits Reference Endpapers: Algebra ReviewGeometric FormulasFinite Math ReviewCalculus Review