, 10
th
EDITION
Calculus
and its applications
Marvin L. Bittinger
Indiana University Purdue University Indianapolis
David J. Ellenbogen
Community College of Vermont
Scott A. Surgent
Arizona State University
Addison-Wesley
Boston Columbus Indianapolis New York San Francisco Upper Saddle River
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montréal Toronto
Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
, Editor in Chief Deirdre Lynch
Executive Editor Jennifer Crum NOTICE:
This work is
Senior Content Editor Rachel S. Reeve protected by U.S.
Editorial Assistant Joanne Wendelken copyright laws and
Senior Production Supervisor Ron Hampton is provided solely for
Senior Designer/Cover Design Heather Scott the use of college
instructors in review-
Digital Assets Manager Marianne Groth ing course materials
Media Producer Peter Silvia for classroom use.
Software Development Mary Durnwald, TestGen; Bob Carroll, MathXL Dissemination or sale
Marketing Manager Jeff Weidenaar of this work, or any
part (including on the
Marketing Assistant Kendra Bassi World Wide Web),
Senior Technology Specialist Joe Vetere will destroy the
Rights and Permissions Advisor Michael Joyce integrity of the work
Senior Manufacturing Buyer Carol Melville and is not permitted.
The work and materi-
Text Design, Art Editing, als from it should
Photo Research Geri Davis/The Davis Group, Inc. never be made avail-
Production Coordination Jane Hoover/Lifland et al., Bookmakers able to students
Composition PreMediaGlobal except by instructors
using the accompany-
Illustrations Network Graphics, Inc., and William Melvin ing text in their
Cover Image Shutterstock/luri classes. All recipi-
ents of this work are
expected to abide by
these restrictions
and to honor the
Photo Credits intended pedagogical
For permission to use copyrighted material, grateful acknowledgment purposes and the
needs of other
is made to the copyright holders on page vi, which is hereby made instructors who rely
part of this copyright page. on these materials.
Many of the designations used by manufacturers and sellers to distinguish their products are
claimed as trademarks. Where those designations appear in this book, and Addison-Wesley was
aware of a trademark claim, the designations have been printed in initial caps or all caps.
Library of Congress Cataloging-in-Publication Data
Bittinger, Marvin L.
Calculus and its applications. — 10th ed./Marvin L. Bittinger,
David J. Ellenbogen, Scott A. Surgent.
p. cm.
Includes index.
1. Calculus—Textbooks. I. Ellenbogen, David. II. Surgent, Scott A. III. Title.
QA303.2.B466 2012
515—dc22 2010017892
Copyright © 2012 Pearson Education, Inc. All rights reserved. No part of this publication may
be reproduced, stored in a retrieval system, or transmitted, in any form or by any means,
electronic, mechanical, photocopying, recording, or otherwise, without the prior written permis-
sion of the publisher. Printed in the United States of America. For information on obtaining per-
mission for use of material in this work, please submit a written request to Pearson Education,
Inc., Rights and Contracts Department, 501 Boylston Street, Boston, MA, 02116.
1 2 3 4 5 6 7 8 9 10—CRK—13 12 11 10
© 2012, 2008, 2004 Pearson Education, Inc.
ISBN-10: 0-321-69433-3
ISBN-13: 978-0-321-69433-1
, To: Elaine, Victoria, and Beth
th
EDITION
Calculus
and its applications
Marvin L. Bittinger
Indiana University Purdue University Indianapolis
David J. Ellenbogen
Community College of Vermont
Scott A. Surgent
Arizona State University
Addison-Wesley
Boston Columbus Indianapolis New York San Francisco Upper Saddle River
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montréal Toronto
Delhi Mexico City São Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
, Editor in Chief Deirdre Lynch
Executive Editor Jennifer Crum NOTICE:
This work is
Senior Content Editor Rachel S. Reeve protected by U.S.
Editorial Assistant Joanne Wendelken copyright laws and
Senior Production Supervisor Ron Hampton is provided solely for
Senior Designer/Cover Design Heather Scott the use of college
instructors in review-
Digital Assets Manager Marianne Groth ing course materials
Media Producer Peter Silvia for classroom use.
Software Development Mary Durnwald, TestGen; Bob Carroll, MathXL Dissemination or sale
Marketing Manager Jeff Weidenaar of this work, or any
part (including on the
Marketing Assistant Kendra Bassi World Wide Web),
Senior Technology Specialist Joe Vetere will destroy the
Rights and Permissions Advisor Michael Joyce integrity of the work
Senior Manufacturing Buyer Carol Melville and is not permitted.
The work and materi-
Text Design, Art Editing, als from it should
Photo Research Geri Davis/The Davis Group, Inc. never be made avail-
Production Coordination Jane Hoover/Lifland et al., Bookmakers able to students
Composition PreMediaGlobal except by instructors
using the accompany-
Illustrations Network Graphics, Inc., and William Melvin ing text in their
Cover Image Shutterstock/luri classes. All recipi-
ents of this work are
expected to abide by
these restrictions
and to honor the
Photo Credits intended pedagogical
For permission to use copyrighted material, grateful acknowledgment purposes and the
needs of other
is made to the copyright holders on page vi, which is hereby made instructors who rely
part of this copyright page. on these materials.
Many of the designations used by manufacturers and sellers to distinguish their products are
claimed as trademarks. Where those designations appear in this book, and Addison-Wesley was
aware of a trademark claim, the designations have been printed in initial caps or all caps.
Library of Congress Cataloging-in-Publication Data
Bittinger, Marvin L.
Calculus and its applications. — 10th ed./Marvin L. Bittinger,
David J. Ellenbogen, Scott A. Surgent.
p. cm.
Includes index.
1. Calculus—Textbooks. I. Ellenbogen, David. II. Surgent, Scott A. III. Title.
QA303.2.B466 2012
515—dc22 2010017892
Copyright © 2012 Pearson Education, Inc. All rights reserved. No part of this publication may
be reproduced, stored in a retrieval system, or transmitted, in any form or by any means,
electronic, mechanical, photocopying, recording, or otherwise, without the prior written permis-
sion of the publisher. Printed in the United States of America. For information on obtaining per-
mission for use of material in this work, please submit a written request to Pearson Education,
Inc., Rights and Contracts Department, 501 Boylston Street, Boston, MA, 02116.
1 2 3 4 5 6 7 8 9 10—CRK—13 12 11 10
© 2012, 2008, 2004 Pearson Education, Inc.
ISBN-10: 0-321-69433-3
ISBN-13: 978-0-321-69433-1
, To: Elaine, Victoria, and Beth
