# Calculus with Applications / Edition 9

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

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## Overview

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®, 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 the Derivative: 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; Differential Equations: Solutions of Elementary and Separable Differential Equations, Linear First-Order Differential Equations, Euler's Method, Applications of Differential Equations, Chapter Review, Extended Application: Pollution of the Great Lakes; Probability and Calculus: Continuous Probability Models, Expected Value and Variance of Continuous Random Variables, Special Probability Density Functions, Chapter Review, Extended Application: Exponential Waiting Times; Sequences and Series (From Ray 1/19/07): Geometric Sequences, Annuities: An Application of Sequences. Taylor Polynomials, Infinite Series, Taylor Series, Newton's Method, L'Hospital's Rule, Chapter Review; The Trigonometric Functions: Definitions of the Trigonometric Functions, Derivatives of Trigonometric Functions, Integrals of Trigonometric Functions, Chapter Review, Extended Application: The Shortest Time and the Cheapest Path; Tables: Formulas of Geometry, Area Under a Normal Curve, Integrals, Integrals Involving Trigonometric Functions

For all readers interested in calculus with applications.

## Product Details

ISBN-13:
9780321421326
Publisher:
Pearson
Publication date:
12/15/2007
Edition description:
Older Edition
Pages:
948
Product dimensions:
8.24(w) x 10.28(h) x 1.39(d)

## Related Subjects

Chapter R: Algebra Reference

R-1 Polynomials

R-2 Factoring

R-3 Rational Expressions

R-4 Equations

R-5 Inequalities

R-6 Exponents

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 10: Differential Equations

10-1 Solutions of Elementary and Separable Differential Equations

10-2 Linear First-Order Differential Equations

10-3 Euler's Method

10-4 Applications of Differential Equations

Chapter Review

Extended Application: Pollution of the Great Lakes

Chapter 11: Probability and Calculus

11-1 Continuous Probability Models

11-2 Expected Value and Variance of Continuous Random Variables

11-3 Special Probability Density Functions

Chapter Review

Extended Application: Exponential Waiting Times

Chapter 12: Sequences and Series

12-1 Geometric Sequences

12-2 Annuities: An Application of Sequences

12-3 Taylor Polynomials

12-4 Infinite Series

12-5 Taylor Series

12-6 Newton's Method

12-7 L'Hospital's Rule

Chapter Review

Chapter 13: The Trigonometric Functions

13-1 Definitions of the Trigonometric Functions

13-2 Derivatives of Trigonometric Functions

13-3 Integrals of Trigonometric Functions

Chapter Review

Extended Application: The Shortest Time and the Cheapest Path

Tables

Table 1 Formulas of Geometry

Table 2 Area Under a Normal Curve

Table 3 Integrals

Table 4 Integrals Involving Trigonometric Functions

Photo Acknowledgements

Index