Second Edition SISSON · SZARVAS with Early Transcendentals CALCULUSLead Editor: Danielle C. Bess Editors: Allison Conger, Ian Craig, Marvin Glover, James Daniel Madden, Claudia Vance Creative Services Manager: Trudy Tronco Designers: Lizbeth Mendoza, Patrick Thompson, Joel Travis Cover Design: Joel Travis Design and Layout Assistance: U. Nagesh, E. Jeevan Kumar, D. Kanthi, K.V.S. Anil Cover Sculpture: Arabesque XXIX 12˝ H × 10½˝ W × 9½˝ D Bubinga Wood by Robert Longhurst A division of Quant Systems, Inc. 546 Long Point Road Mount Pleasant, SC 29464 Copyright © 2024, 2016 by Hawkes Learning / 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. Mathematica is a registered trademark of Wolfram Research, Inc. Maple is a registered trademark of Waterloo Maple Inc. Library of Congress Control Number: 2023938977 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN: 978-1-64277-588-4 AIE ISBN: 978-1-64277-590-7In Memoriam, Carol Ann Sisson and Drs. István Tibor Szarvas and Katalin Ilona WeiszivTable of Contents TABLE OF CONTENTS Preface From the Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .x Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi About the Cover . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii Features . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xiii Support . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xviii Chapter 1 A Review of Functions Chapter 2 Limits and the Derivative vTable of Contents Chapter 3 Differentiation Chapter 4 Applications of Differentiation Chapter 5 Integration viTable of Contents Chapter 6 Applications of the Definite Integral Chapter 7 Techniques of Integration Chapter 8 Differential Equations viiTable of Contents Chapter 9 Parametric Equations and Polar Coordinates Chapter 10 Sequences and Series Chapter 11 Vectors and the Geometry of Space viiiTable of Contents Chapter 12 Vector Functions Chapter 13 Partial Derivatives Chapter 14 Multiple Integrals ixTable of Contents Chapter 15 Vector Calculus Appendices A Fundamentals of Mathematica . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A-2 B Properties of Exponents and Logarithms, Graphs of Exponential and Logarithmic Functions . . . . . . . . . . . .A-7 C Trigonometric and Hyperbolic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A-8 D Complex Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A-13 E Proofs of Selected Theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .A-19 Table of Integrals Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I-1 Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AK-1Next >