Finite Mathematics and Calculus with Applications, 10th edition

Instant access once purchased Fulfilled by VitalSource Add notes and highlights Search by keyword or page Instant access once purchased Fulfilled by VitalSource Add notes and highlights Search by keyword or page Instant access once purchased Fulfilled by VitalSource Add notes and highlights Search by keyword or page 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 Using Extrapolation to Predict Life Expectancy 2. Systems of Linear Equations and Matrices 2-1 Solution of Linear Systems by the Echelon Method 2-2 Solution of Linear Systems by the Gauss-Jordan Method 2-3 Addition and Subtraction of Matrices 2-4 Multiplication of Matrices 2-5 Matrix Inverses 2-6 Input-Output Models Chapter Review Extended Contagion 3. Linear The Graphical Method 3-1 Graphing Linear Inequalities 3-2 Solving Linear Programming Problems Graphically 3-3 Applications of Linear Programming Chapter Review 4. Linear The Simplex Method 4-1 Slack Variables and the Pivot 4-2 Maximization Problems 4-3 Minimization Problems; Duality 4-4 Nonstandard Problems Chapter Review Extended Using Integer Programming in the Stock-Cutting Problem 5. Mathematics of Finance 5-1 Simple and Compound Interest 5-2 Future Value of an Annuity 5-3 Present Value of an Annuity; Amortization Chapter Review Extended Time, Money, and Polynomials 6. Logic 6-1 Statements 6-2 Truth Tables and Equivalent Statements 6-3 The Conditional and Circuits 6-4 More on the Conditional 6-5 Analyzing Arguments and Proofs 6-6 Analyzing Arguments with Quantifiers Chapter Review Extended Logic Puzzles 7. Sets and Probability 7-1 Sets 7-2 Applications of Venn Diagrams 7-3 Introduction to Probability 7-4 Basic Concepts of Probability 7-5 Conditional Probability; Independent Events 7-6 Bayes' Theorem Chapter Review Extended Medical Diagnosis 8. Counting Further Probability Topics 8-1 The Multiplication Principle; Permutations 8-2 Combinations 8-3 Probability Applications of Counting Principles 8-4 Binomial Probability 8-5 Probability Distributions; Expected Value Chapter Review Extended Optimal Inventory for a Service Truck 9. Statistics 9-1 Frequency Distributions; Measures of Central Tendency 9-2 Measures of Variation 9-3 The Normal Distribution 9-4 Normal Approximation to the Binomial Distribution Chapter Review Extended Statistics in the Law - The Castaneda Decision 10. Nonlinear Functions 10-1 Properties of Functions 10-2 Quadratic Functions; Translation and Reflection 10-3 Polynomial and Rational Functions 10-4 Exponential Functions 10-5 Logarithmic Functions 10-6 Growth and Decay; Mathematics of Finance Chapter Review Extended Characteristics of the Monkeyface Prickleback 11. The Derivative 11-1 Limits 11-2 Continuity 11-3 Rates of Change 11-4 Definition of the Derivative 11-5 Graphical Differentiation Chapter Review Extended A Model for Drugs Administered Intravenously 12. Calculating the Derivative 12-1 Techniques for Finding Derivatives 12-2 Derivatives of Products and Quotients 12-3 The Chain Rule 12-4 Derivatives of Exponential Functions 12-5 Derivatives of Logarithmic Functions Chapter Review Extended Electric Potential and Electric Field 13. Graphs and the Derivative 13-1 Increasing and Decreasing Functions 13-2 Relative Extrema 13-3 Higher Derivatives, Concavity, and the Second Derivative Test 13-4 Curve Sketching Chapter Review Extended A Drug Concentration Model for Orally Administered Medications (new) 14. Applications of the Derivative 14-1 Absolute Extrema 14-2 Applications of Extrema 14-3 Further Business Economic Lot Size; Economic Order Quantity; Elasticity of Demand 14-4 Implicit Differentiation 14-5 Related Rates 14-6 Linear Approximation Chapter Review Extended A Total Cost Model for a Training Program 15. Integration 15-1 Antiderivatives 15-2 Substitution 15-3 Area and the Definite Integral 15-4 The Fundamental Theorem of Calculus 15-5 The Area Between Two Curves 15-6 Numerical Integration Chapter Review Extended Estimating Depletion Dates for Minerals 16. Further Techniques and Applications of Integration 16-1 Integration by Parts 16-2 Volume and Average Value 16-3 Continuous Money Flow 16-4 Improper Integrals 16-5 Solutions of Elementary and Separable Differential Equations* Chapter Review Extended Estimating Learning Curves in Manufacturing with Integrals 17. Multivariable Calculus 17-1 Functions of Several Variables 17-2 Partial Derivatives 17-3 Maxima and Minima 17-4 Lagrange Multipliers 17-5 Total Differentials and Approximations 17-6 Double Integrals Chapter Review Extended Using Multivariable Fitting to Create a Response Surface Design 18. Probability and Calculus 18-1 Continuous Probability Models 18-2 Expected Value and Variance of Continuous Random Variables 18-3 Special Probability Density Functions Chapter Review Extended Exponential Waiting Times Tables Table 1 Formulas of/from Geometry Table 2 Area Under a Normal Curve Table 3 Integrals Answers to Selected Exercises Photo Acknowledgements Index Show more content will be revealed above