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Solve Word Problems In Calculus

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Solve Word Problems in Calculus.

Eugene Don, Ph.D.
Department of Mathematics
Queens College, CUNY

Benay Don, M.S.
Department of Mathematics
Suffolk County Community College

Introduction—Strategies for Solving Word Problems xi

Chapter 1—Extracting Functions from Word
Problems 1
Strategy for Extracting Functions
Number Problems
Two-Dimensional Geometry Problems
Three-Dimensional Geometry Problems
Business and Economics Problems

Chapter 2—Rates of Change in the Natural and
Social Sciences 27
Motion along a Straight Line
Applications to Science and Engineering
Business and Economics

Chapter 3—Related Rates 46

Chapter 4—Applied Maximum and Minimum 70

Chapter 5—Trigonometric Functions 129
Related Rates
Maximum-Minimum Problems

Chapter 6—Exponential Functions 150
Exponential-Growth and Decay
Continuous Compounding of Interest
Additional Exponential Models

Chapter 7—Problems Involving Integrals 175
Area Problems
Volumes of Solids of Revolution

Chapter 8—Application to Business and
Economics 205
Rates of Change in Business
Marginal Analysis in Economics
Related Rates
Optimization
Inventory Control


This book is designed to enable students of calculus to develop
their skills in solving word problems.
Most calculus textbooks
present this topic in a cursory manner, forcing the student to
struggle with the techniques of setting up and solving complex
verbal problems.
This book, which may be used as a supplement
to all calculus textbooks, is presented in a manner
that has proved so successful with the other books in the How
to Solve Word Problems series:

Concise definitions and discussion of appropriate theory
in easily understood terms.
Fully worked out solutions to illustrative examples.
Supplementary problems with complete solutions.
The purpose of this book is to increase the student’s confidence
in his or her ability to solve word problems.
The material
is presented in an easy-to-understand, readable manner and if
the reader is willing to invest a little time and effort, he or she
will be rewarded with a skill which will prove invaluable.

EUGENE DON
BENAY DON

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