Single Variable CALCULUS with Early Transcendentals Paul Sisson ∙ Tibor Szarvas Executive Editor: Claudia Vance Executive Project Manager: Kimberly Cumbie Vice President, Research and Development: Marcel Prevuznak Editorial Assistants: Danielle C. Bess, Doug Chappell, Susan Fuller, Margaret Gibbs, Robin Hendrix, Barbara Miller, Nina Waldron, Barry Wright, III Copy Editors: Phillip Bushkar, Taylor Hamrick, Mary Katherine Huffman, Rebecca Johnson, Justin Lamothe, Sojwal Pohekar, Eric Powers, Kara Roché, Joseph Tracy Answer Key Editors: Taylor Jones, Jason Ling, Jake Stauch Review Coordinator: Lisa Young Senior Designer: Tee Jay Zajac Layout & Original Graphics: Tee Jay Zajac Graphics: Robert Alexander, Margaret Gibbs, Jennifer Moran, Tee Jay Zajac Quant Systems India: E. Jeevan Kumar, D. Kanthi, U. Nagesh, B. Syam Prasad Cover Design: Tee Jay Zajac Cover Sculpture: Chapter Opening Artwork: Arabesque XXIX Single Variable Series 12˝ H × 10½˝ W × 9½˝ D 4.625˝ H × 8.315˝ W Bubinga Wood Digital Painting by Robert Longhurst by Jameson Deichman A division of Quant Systems, Inc. 546 Long Point Road, Mount Pleasant, SC 29464 Copyright © 2016 by Hawkes Learning Systems/Quant Systems, 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 consent of the publisher. Printed in the United States of America Mathematica is a registered trademark of Wolfram Research, Inc. Maple is a registered trademark of Waterloo Maple Inc. Library of Congress Control Number: 2014957009 ISBN: 978-1-938891-96-0 In Memoriam, Carol Ann Sisson and Dr. István Tibor Szarvas TABLE OF CONTENTS Preface A Function Primer 1.2 A Function Repertory................................................................................................................. 21 1.3 Transforming and Combining Functions..................................................................................... 41 Review Exercises....................................................................................................................... 96 Project....................................................................................................................................... 99 Limits and the Derivative Review Exercises..................................................................................................................... 192 Project..................................................................................................................................... 196 Differentiation Review Exercises..................................................................................................................... 324 Project..................................................................................................................................... 328 Applications of Differentiation Review Exercises..................................................................................................................... 417 Project..................................................................................................................................... 421 Integration Review Exercises..................................................................................................................... 485 Project..................................................................................................................................... 488 Chapter 6 Applications of the Defnite Integral Review Exercises..................................................................................................................... 564 Project..................................................................................................................................... 569 Chapter 7 Techniques of Integration Review Exercises..................................................................................................................... 637 Project..................................................................................................................................... 641 Chapter 8 Differential Equations Review Exercises..................................................................................................................... 682 Project..................................................................................................................................... 686 Parametric Equations and Polar Coordinates 9.5 Conic Sections in Cartesian Coordinates ................................................................................. 733 Review Exercises..................................................................................................................... 760 Project..................................................................................................................................... 764 Chapter 10 Sequences and Series Review Exercises..................................................................................................................... 859 Project .................................................................................................................................... 864 Appendices Answer Key.................................................................................................................. AK-1 Index....................................................................................................................................I-1 Table of Integrals........................................................................................................TI-1 Next >