Thomas Calculus 13th Edition Thomas
Solutions Manual
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Thomas Calculus 13th Edition Thomas
Test Bank
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I
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ANUAL
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ARLY
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RANSCENDENTALS
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DITION
Based on the original work by
George B. Thomas, Jr
Massachusetts Institute of Technology
as revised by
Maurice
Postgraduate School
Joel
Hass
University of California, Davis
with the assistance of
Christopher Heil
Georgia Institute of Technology
Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author. Copyright © 2014, 2010, 2008 Pearson Education, Inc.
Publishing as Pearson, 75 Arlington Street, Boston, MA 02116.
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 permission of the publisher. Printed in the United States of America.
ISBN-13: 978-0-321-87901-1 ISBN-10: 0-321-87901-5 1 2 3 4 5 6 ?? 17 16 15 14 13
TABLE OF CONTENTS
10 Infinite Sequences and Series 701
10.1 Sequences 701 10.2 Infinite Series 712 10.3 The Integral Test 720 10.4 Comparison Tests 728
10.5 Absolute Convergence; The Ratio and Root Tests 738 10.6 Alternating Series and Conditional Convergence 744 10.7 Power Series 752
10.8 Taylor and Maclaurin Series 764 10.9 Convergence of Taylor Series 769
10.10 The Binomial Series and Applications of Taylor Series 777 Practice Exercises 786
Additional and Advanced Exercises 795
11 Parametric Equations and Polar Coordinates 801
11.1 Parametrizations of Plane Curves 80111.2 Calculus with Parametric Curves 809 11.3 Polar Coordinates 819
11.4 Graphing Polar Coordinate Equations 825 11.5 Areas and Lengths in Polar Coordinates 832 11.6 Conic Sections 838
11.7 Conics in Polar Coordinates 849 Practice Exercises 860
Additional and Advanced Exercises 871
12 Vectors and the Geometry of Space 877
12.1 Three-Dimensional Coordinate Systems 877 12.2 Vectors 881
12.3 The Dot Product 886 12.4 The Cross Product 892
12.5 Lines and Planes in Space 898 12.6 Cylinders and Quadric Surfaces 906
Practice Exercises 912
Additional and Advanced Exercises 920
13 Vector-Valued Functions and Motion in Space 927
13.1 Curves in Space and Their Tangents 92713.2 Integrals of Vector Functions; Projectile Motion 933 13.3 Arc Length in Space 941
13.4 Curvature and Normal Vectors of a Curve 945
13.6 Velocity and Acceleration in Polar Coordinates 959 Practice Exercises 962
Additional and Advanced Exercises 969
14 Partial Derivatives 973
14.1 Functions of Several Variables 973
14.2 Limits and Continuity in Higher Dimensions 984 14.3 Partial Derivatives 990
14.4 The Chain Rule 999
14.5 Directional Derivatives and Gradient Vectors 1008 14.6 Tangent Planes and Differentials 1014
14.7 Extreme Values and Saddle Points 1024 14.8 Lagrange Multipliers 1040
14.9 Taylor's Formula for Two Variables 1052
14.10 Partial Derivatives with Constrained Variables 1055 Practice Exercises 1059
Additional and Advanced Exercises 1076
15 Multiple Integrals 1083
15.1 Double and Iterated Integrals over Rectangles 1083
15.2 Double Integrals over General Regions 1086
15.3 Area by Double Integration 1100
15.4 Double Integrals in Polar Form 1105
15.5 Triple Integrals in Rectangular Coordinates 1112
15.6 Moments and Centers of Mass 1118
15.7 Triple Integrals in Cylindrical and Spherical Coordinates 1124
15.8 Substitutions in Multiple Integrals 1134
Practice Exercises 1142
Additional and Advanced Exercises 1149
16 Integrals and Vector Fields 1155
16.1 Line Integrals 1155
16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 1161 16.3 Path Independence, Conservative Fields, and Potential Functions 1172 16.4 Green's Theorem in the Plane 1178
16.5 Surfaces and Area 1185 16.6 Surface Integrals 1196 16.7 Stokes' Theorem 1206
16.8 The Divergence Theorem and a Unified Theory 1213 Practice Exercises 1219
Additional and Advanced Exercises 1230
Thomas Calculus 13th Edition Thomas
Solutions Manual
Full clear download (no formatting errors) at:
http://testbanklive.com/download/thomas-calculus-13th-edition-thomas-solutions-manual/
Thomas Calculus 13th Edition Thomas
Test Bank
Full clear download (no formatting errors) at:
http://testbanklive.com/download/thomas-calculus-13th-edition-thomas-test-bank/
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