Download calculus early transcendentals 8th edition pdf

Transcription

Early Transcendentals, eighth edition, James Stewart. M c Master University, University of Toronto, Australia Brazil Mexico Singapore United Kingdom United States. Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. This is an electronic version of the print textbook Due to electronic rights restrictions. some third party content may be suppressed Editorial review has deemed that any suppressed. content does not materially affect the overall learning experience The publisher reserves the right. to remove content from this title at any time if subsequent rights restrictions require it For. valuable information on pricing previous editions changes to current editions and alternate. formats please visit www cengage com highered to search by ISBN author title or keyword for. materials in your areas of interest, Important Notice Media content referenced within the product description or the product. text may not be available in the eBook version, Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Calculus Early Transcendentals Eighth Edition Cengage Learning. James Stewart, WCN 02 , Product Manager Neha Taleja ALL RIGHTS RESERVED No part of this work covered by the copyright.
Senior Content Developer Stacy Green herein may be reproduced transmitted stored or used in any form or by. any means graphic electronic or mechanical including but not limited to. Associate Content Developer Samantha Lugtu, photocopying recording scanning digitizing taping Web distribution. Product Assistant Stephanie Kreuz information networks or information storage and retrieval systems except. Media Developer Lynh Pham as permitted under Section or of the United States Copyright. Act without the prior written permission of the publisher. Marketing Manager Ryan Ahern, Content Project Manager Cheryll Linthicum. Art Director Vernon Boes For product information and technology assistance contact us at. Cengage Learning Customer Sales Support 1 Manufacturing Planner Becky Cross, For permission to use material from this text or product. Production Service TECHarts submit all requests online at www cengage com permissions. Further permissions questions can be e mailed to, Photo and Text Researcher Lumina Datamatics. permissionrequest cengage com, Copy Editor Kathi Townes TECHarts.
Illustrator TECHarts, Library of Congress Control Number Text Designer Diane Beasley, Student Edition, Cover Designer Irene Morris Morris Design. ISBN 1 0, Compositor Stephanie Kuhns Kristina Elliott. Loose leaf Edition, and Kira Abdallah TECHarts, ISBN 1 4. Cover Image elisanth RF tharrison Getty Images, Cengage Learning.
20 Channel Center Street, Boston MA , Cengage Learning is a leading provider of customized learning solutions. with office locations around the globe including Singapore the United. Kingdom Australia Mexico Brazil and Japan Locate your local office at. www cengage com global, Cengage Learning products are represented in Canada by. Nelson Education Ltd, To learn more about Cengage Learning Solutions visit www cengage com. Purchase any of our products at your local college store or at our pre. ferred online store www cengagebrain com, Windows is a registered trademark of the Microsoft Corporation and used. herein under license, Macintosh is a registered trademark of Apple Computer Inc.
Used herein under license, Maple is a registered trademark of Waterloo Maple Inc. Mathematica is a registered trademark of Wolfram Research Inc. Tools for Enriching Calculus is a trademark used herein under license. Printed in the United States of America, Print Number 01 Print Year Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Preface xi, To the Student xxiii, Calculators Computers and other graphing devices xxiv. Diagnostic tests xxvi, A Preview of Calculus 1, 1 1 Four Ways to Represent a Function 1 2 Mathematical Models A Catalog of Essential Functions 1 3 New Functions from Old Functions 36, 1 4 Exponential Functions
1 5 Inverse Functions and Logarithms 55, Principles of Problem Solving 2 1 The Tangent and Velocity Problems 78, 2 2 The Limit of a Function 2 3 Calculating Limits Using the Limit Laws 95, 2 4 The Precise Definition of a Limit 2 5 Continuity , 2 6 Limits at Infinity Horizontal Asymptotes 2 7 Derivatives and Rates of Change , Writing Project Early Methods for Finding Tangents
2 8 The Derivative as a Function , Review , Problems Plus Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. iv Contents, 3 1 Derivatives of Polynomials and Exponential Functions Applied Project Building a Better Roller Coaster 3 2 The Product and Quotient Rules , 3 3 Derivatives of Trigonometric Functions 3 4 The Chain Rule , Applied Project Where Should a Pilot Start Descent 3 5 Implicit Differentiation , Laboratory Project Families of Implicit Curves
3 6 Derivatives of Logarithmic Functions , 3 7 Rates of Change in the Natural and Social Sciences 3 8 Exponential Growth and Decay , Applied Project Controlling Red Blood Cell Loss During Surgery 3 9 Related Rates , 3 10 Linear Approximations and Differentials Laboratory Project Taylor Polynomials , 3 11 Hyperbolic Functions Review , Problems Plus , 4 1 Maximum and Minimum Values
Applied Project The Calculus of Rainbows , 4 2 The Mean Value Theorem 4 3 How Derivatives Affect the Shape of a Graph 4 4 Indeterminate Forms and l Hospital s Rule , Writing Project The Origins of l Hospital s Rule 4 5 Summary of Curve Sketching , 4 6 Graphing with Calculus and Calculators 4 7 Optimization Problems , Applied Project The Shape of a Can Applied Project Planes and Birds Minimizing Energy 4 8 Newton s Method , 4 9 Antiderivatives , Review
Problems Plus , Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Contents v, 5 1 Areas and Distances , 5 2 The Definite Integral Discovery Project Area Functions , 5 3 The Fundamental Theorem of Calculus 5 4 Indefinite Integrals and the Net Change Theorem Writing Project Newton Leibniz and the Invention of Calculus 5 5 The Substitution Rule , Review , Problems Plus 6 1 Areas Between Curves , Applied Project The Gini Index
6 2 Volumes , 6 3 Volumes by Cylindrical Shells 6 4 Work , 6 5 Average Value of a Function , Applied Project Calculus and Baseball Applied Project Where to Sit at the Movies , Review Problems Plus , 7 1 Integration by Parts , 7 2 Trigonometric Integrals 7 3 Trigonometric Substitution , 7 4 Integration of Rational Functions by Partial Fractions
7 5 Strategy for Integration , 7 6 Integration Using Tables and Computer Algebra Systems Discovery Project Patterns in Integrals , 7 7 Approximate Integration 7 8 Improper Integrals , Review , Problems Plus Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. vi Contents, 8 1 Arc Length , Discovery Project Arc Length Contest 8 2 Area of a Surface of Revolution , Discovery Project Rotating on a Slant
8 3 Applications to Physics and Engineering , Discovery Project Complementary Coffee Cups 8 4 Applications to Economics and Biology , 8 5 Probability Review , Problems Plus , 9 1 Modeling with Differential Equations 9 2 Direction Fields and Euler s Method , 9 3 Separable Equations Applied Project How Fast Does a Tank Drain , Applied Project Which Is Faster Going Up or Coming Down
9 4 Models for Population Growth , 9 5 Linear Equations 9 6 Predator Prey Systems , Review , Problems Plus 10 1 Curves Defined by Parametric Equations , Laboratory Project Running Circles Around Circles 10 2 Calculus with Parametric Curves , Laboratory Project B zier Curves 10 3 Polar Coordinates , Laboratory Project Families of Polar Curves
10 4 Areas and Lengths in Polar Coordinates , Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Contents vii, 10 5 Conic Sections , 10 6 Conic Sections in Polar Coordinates Review , Problems Plus , 11 1 Sequences , Laboratory Project Logistic Sequences 11 2 Series , 11 3 The Integral Test and Estimates of Sums 11 4 The Comparison Tests , 11 5 Alternating Series
11 6 Absolute Convergence and the Ratio and Root Tests 11 7 Strategy for Testing Series , 11 8 Power Series 11 9 Representations of Functions as Power Series 11 10 Taylor and Maclaurin Series , Laboratory Project An Elusive Limit Writing Project How Newton Discovered the Binomial Series 11 11 Applications of Taylor Polynomials , Applied Project Radiation from the Stars Review , Problems Plus , 12 1 Three Dimensional Coordinate Systems 12 2 Vectors , 12 3 The Dot Product , 12 4 The Cross Product
Discovery Project The Geometry of a Tetrahedron 12 5 Equations of Lines and Planes , Laboratory Project Putting 3D in Perspective 12 6 Cylinders and Quadric Surfaces , Review 7etun03, 04 21 10 Problems Plus , MasterID Copyright Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electronic rights some third party content may be suppressed from the eBook and or eChapter s. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. viii Contents, 13 1 Vector Functions and Space Curves 13 2 Derivatives and Integrals of Vector Functions 13 3 Arc Length and Curvature , 13 4 Motion in Space Velocity and Acceleration
Applied Project Kepler s Laws , Review , Problems Plus 14 1 Functions of Several Variables , 14 2 Limits and Continuity 14 3 Partial Derivatives , 14 4 Tangent Planes and Linear Approximations Applied Project The Speedo LZR Racer , 14 5 The Chain Rule 14 6 Directional Derivatives and the Gradient Vector 14 7 Maximum and Minimum Values , Applied Project Designing a Dumpster
Discovery Project Quadratic Approximations and Critical Points 14 8 Lagrange Multipliers , Applied Project Rocket Science Calculus Early Transcendentals Eighth Edition James Stewart Product Manager Neha Taleja Senior Content Developer Stacy Green Associate Content Developer Samantha Lugtu Product Assistant Stephanie Kreuz Media Developer Lynh Pham Marketing Manager Ryan Ahern Content Project Manager Cheryll Linthicum Art Director Vernon Boes Manufacturing Planner Becky Cross Production Service