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Table of Contents

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 1 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 2 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 3 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 4 Review

Extended Application: Electrical Potential and Electric Field

 

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 5 Review

Extended Application: A Drug Concentration Model for Orally Administered Medications

 

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 6 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 7 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 8 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 9 Review

Extended Application: Using Multivariable

Get Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics Package, 10th Edition by Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA

Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics Package, 10th Edition Test Bank, Download Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics Package, 10th Edition , Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics Package, 10th Edition Test Book, PDF Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics Package, 10th Edition ,Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA , Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA