Calculus with Applications, Brief Version, 11th Edition

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Calculus with Applications, Brief Version, 11th Edition Bank Test , Calculus with Applications, Brief Version, 11th Edition Textbook , Calculus with Applications, Brief Version, 11th Edition PDF , Calculus with Applications, Brief Version, 11th Edition eBook , Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA

Category : Higher Education

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 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

Index

Instalant Download Calculus with Applications, Brief Version, 11th Edition by Margaret L. Lial, American River College Raymond N. Greenwell, Hofstra University Nathan P. Ritchey, Edinboro University of PA ZIP OR PDF

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