Solutions manual for Calculus A Complete Course 8th by Robert A. Adams

INSTRUCTOR’S SOLUTIONS MANUAL  to accompany

ADAMS / ESSEX

CALCULUS: A COMPLETE COURSE; CALCULUS: SINGLE VARIABLE; and CALCULUS: SEVERAL VARIABLES Eighth Edition

Prepared by

Robert A. Adams

University of British Columbia

Christopher Essex

University of Windsor Ontario

Toronto

Copyright © 2014 Pearson Canada Inc., Toronto, Ontario. Pearson Canada. All rights reserved. This work is protected by Canadian copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the Internet) will destroy the integrity of the work and is not permitted. The copyright holder grants permission to instructors who have adopted Calculus: A Complete Course, Eighth Edition, by Adams/Essex to post this material online only if the use of the website is restricted by access codes to students in the instructor’s class that is using the textbook and provided the reproduced material bears this copyright notice.

FOREWORD

These solutions are provided for the benefit of instructors using the textbooks: Calculus: A Complete Course (8th Edition),
Single-Variable Calculus (8th Edition), and
Calculus of Several Variables (8th Edition)

by R. A. Adams and Chris Essex, published by Pearson Education Canada. For the most part, the solutions are detailed, especially in exercises on core material and techniques. Occasion- ally some details are omitted — for example, in exercises on applications of integration, the evaluation of the integrals encountered is not always given with the same degree of detail as the evaluation of integrals found in those exercises dealing specifically with techniques of in- tegration.

Instructors may wish to make these solutions available to their students. However, students should use such solutions with caution. It is always more beneficial for them to attempt ex- ercises and problems on their own, before they look at solutions done by others. If they ex- amine solutions as “study material” prior to attempting the exercises, they can lose much of the benefit that follows from diligent attempts to develop their own analytical powers. When they have tried unsuccessfully to solve a problem, then looking at a solution can give them a “hint” for a second attempt. Separate Student Solutions Manuals for the books are available for students. They contain the solutions to the even-numbered exercises only.

Apr, 2012.

R. A. Adams Chris Essex adms@math.ubc.ca essex@uwo.ca

Copyright © 2014 Pearson Canada Inc.

Solutions for Chapter P Solutions for Chapter 1 Solutions for Chapter 2 Solutions for Chapter 3 Solutions for Chapter 4 Solutions for Chapter 5 Solutions for Chapter 6 Solutions for Chapter 7 Solutions for Chapter 8 Solutions for Chapter 9 Solutions for Chapter 10 Solutions for Chapter 11 Solutions for Chapter 12 Solutions for Chapter 13 Solutions for Chapter 14 Solutions for Chapter 15 Solutions for Chapter 16 Solutions for Chapter 17 Solutions for Chapter 18 Solutions for Chapter 18

Solutions for Appendices

CONTENTS

1 23 40 82 109 179 215 270 318 353 393 421 450 494 541 583 614 641 648 extended 669

699

NOTE: Chapter 18 extended is
Calculus of Several Variables (Eighth Edition)