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R. Algebra Reference R-1 Polynomials R-2 Factoring R-3 Rational Expressions R-4 Equations R-5 Inequalities R-6 Exponents R-7 Radicals 1. Linear Functions 1-1 Slopes and Equations of Lines 1-2 Linear Functions and Applications 1-3 The Least Squares Line Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy 2. Nonlinear Functions 2-1 Properties of Functions 2-2 Quadratic Functions; Translation and Reflection 2-3 Polynomial and Rational Functions 2-4 Exponential Functions 2-5 Logarithmic Functions 2-6 Applications: Growth and Decay; Mathematics of Finance Chapter Review Extended Application: Characteristics of the Monkeyface Prickleback 3. The Derivative 3-1 Limits 3-2 Continuity 3-3 Rates of Change 3-4 Definition of the Derivative 3-5 Graphical Differentiation Chapter Review Extended Application: A Model for Drugs Administered Intravenously 4. Calculating the Derivative 4-1 Techniques for Finding Derivatives 4-2 Derivatives of Products and Quotients 4-3 The Chain Rule 4-4 Derivatives of Exponential Functions 4-5 Derivatives of Logarithmic Functions Chapter Review Extended Application: Electric Potential and Electric Field (new) 5. Graphs and the Derivative 5-1 Increasing and Decreasing Functions 5-2 Relative Extrema 5-3 Higher Derivatives, Concavity, and the Second Derivative Test 5-4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications (new) 6. Applications of the Derivative 6-1 Absolute Extrema 6-2 Applications of Extrema 6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand 6-4 Implicit Differentiation 6-5 Related Rates 6-6 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program 7. Integration 7-1 Antiderivatives 7-2 Substitution 7-3 Area and the Definite Integral 7-4 The Fundamental Theorem of Calculus 7-5 The Area Between Two Curves 7-6 Numerical Integration Chapter Review Extended Application: Estimating Depletion Dates for Minerals 8. Further Techniques and Applications of Integration 8-1 Integration by Parts 8-2 Volume and Average Value 8-3 Continuous Money Flow 8-4 Improper Integrals Chapter Review Extended Application: Estimating Learning Curves in Manufacturing with Integrals 9. Multivariable Calculus 9-1 Functions of Several Variables 9-2 Partial Derivatives 9-3 Maxima and Minima 9-4 Lagrange Multipliers 9-5 Total Differentials and Approximations 9-6 Double Integrals Chapter Review Extended Application: Using Multivariable Fitting to Create a Response Surface Design Tables Table 1 Formulas of Geometry Table 2 Integrals Answers to Selected Exercises Photo Acknowledgements Table of Contents
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