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Calculus And Its Applications with MyMathLab, Global Edition

Media-Kombination
2016 | 11th edition
Pearson Education Limited
978-1-292-10586-4 (ISBN)
88,95 inkl. MwSt
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This package includes MyMathLab (R).



Anticipating and meeting student needs

Calculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today's students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.



This package includes MyMathLab, an online homework, tutorial, and assessment program designed to work with this text to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.



MyMathLab should only be purchased when required by an instructor. Please be sure you have the correct ISBN and Course ID. Instructors, contact your Pearson representative for more information.

R. Functions, Graphs, and Models

R.1 Graphs and Equations

R.2 Functions and Models

R.3 Finding Domain and Range

R.4 Slope and Linear Functions

R.5 Nonlinear Functions and Models

R.6 Mathematical Modeling and Curve Fitting

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application Average Price of a Movie Ticket



1. Differentiation

1.1 Limits: A Numerical and Graphical Approach

1.2 Algebraic Limits and Continuity

1.3 Average Rates of Change

1.4 Differentiation Using Limits of Difference Quotients

1.5 The Power and Sum-Difference Rules

1.6 The Product and Quotient Rules

1.7 The Chain Rule

1.8 Higher-Order Derivatives

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-Path of a Baseball: The Tale of the Tape



2. Applications of Differentiation

2.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs

2.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs

2.3 Graph Sketching: Asymptotes and Rational Functions

2.4 Using Derivatives to Find Absolute Maximum and Minimum Values

2.5 Maximum-Minimum Problems; Business, Economics, and General Applications

2.6 Marginals and Differentials

2.7 Elasticity of Demand

2.8 Implicit Differentiation and Related Rates

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-Maximum Sustainable Harvest



3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Applications: Uninhibited and Limited Growth Models

3.4 Applications: Decay

3.5 The Derivatives of ax and loga x

3.6 A Business Application: Amortization

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-The Business of Motion Picture Revenue and DVD Release



4. Integration

4.1 Antidifferentiation

4.2 Antiderivatives as Areas

4.3 Area and Definite Integrals

4.4 Properties of Definite Integrals

4.5 Integration Techniques: Substitution

4.6 Integration Techniques: Integration by Parts

4.7 Integration Techniques: Tables

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-Business: Distribution of Wealth



5. Applications of Integration

5.1 Consumer Surplus and Producer Surplus

5.2 Integrating Growth and Decay Models

5.3 Improper Integrals

5.4 Probability

5.5 Probability: Expected Value; The Normal Distribution

5.6 Volume

5.7 Differential Equations

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-Curve Fitting and Volumes of Containers



6. Functions of Several Variables

6.1 Functions of Several Variables

6.2 Partial Derivatives

6.3 Maximum-Minimum Problems

6.4 An Application: The Least-Squares Technique

6.5 Constrained Optimization

6.6 Double Integrals

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application-Minimizing Employees' Travel Time in a Building



Cumulative Review



Appendix A: Review of Basic Algebra

Appendix B: Regression and Microsoft Excel

Table A: Areas for a Standard Normal Distribution



Answers

Index of Applications

Index

Additional Instructor's Answers

Erscheint lt. Verlag 28.7.2016
Verlagsort Harlow
Sprache englisch
Maße 219 x 268 mm
Gewicht 1468 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-292-10586-0 / 1292105860
ISBN-13 978-1-292-10586-4 / 9781292105864
Zustand Neuware
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