Calculus With Applications Brief Version

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KEY MESSAGE: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab(R), a complete online course solution, a comprehensive series of video lectures is available for this text. Algebra Reference (shared with FM, CWA, and Combo): Polynomials, Factoring, Rational Expressions, Equations, Inequalities, Exponents, Radicals; Linear Functions (shared with FM, CWA, and Combo): Slopes and Equations of Lines, Linear Functions and Applications, The Least Squares Line, Chapter Review, Extended Application: Using Extrapolation to Predict Life Expectancy; Nonlinear Functions: Properties of Functions, Quadratic Functions; Translation and Reflection, Polynomial and Rational Functions, Exponential Functions, Logarithmic Functions, Applications: Growth and Decay; Mathematics of Finance, Chapter Review, Extended Application: Characteristics of the Monkeyface Prickleback; The Derivative: Limits, Continuity, Rates of Change, Definition of the Derivative, Graphical Differentiation, Chapter Review, Extended Application: A Model for Drugs Administered Intravenously (new); Calculating the Derivative: Techniques for Finding Derivatives, Derivatives of Products and Quotients, The Chain Rule, Derivatives of Exponential Functions, Derivatives of Logarithmic Functions, Chapter Review, Extended Application: Electric Potential and Electric Field (new); Graphs and theDerivative: Increasing and Decreasing Functions, Relative Extrema, Higher Derivatives, Concavity, and the Second Derivative Test, Curve Sketching, Chapter Review, Extended Application: A Drug Concentration Model for Orally Administered Medications (new); Applications of the Derivative: Absolute Extrema, Applications of Extrema, Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand, Implicit Differentiation, Related Rates, Differentials: Linear Approximation, Chapter Review, Extended Application: A Total Cost Model for a Training Program; Integration: Antiderivatives, Substitution, Area and the Definite Integral, The Fundamental Theorem of Calculus, The Area Between Two Curves, Numerical Integration, Chapter Review, Extended Application: Estimating Depletion Dates for Minerals; Further Techniques and Applications of Integration: Integration by Parts, Volume and Average Value, Continuous Money Flow, Improper Integrals, Chapter Review, Extended Application: Estimating Learning Curves in Manufacturing with Integrals; Multivariable Calculus: Functions of Several Variables, Partial Derivatives, Maxima and Minima, Lagrange Multipliers, Total Differentials and Approximations, Double Integrals, Chapter Review, Extended Application: Using Multivariable Fitting to Create a Response Surface Design; Tables: Formulas of Geometry, Integrals For all readers interested in calculus with applications.