Thomas Calculus 13th Edition Thomas Solutions Manual
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           INSTRUCTOR’S SOLUTIONS MANUAL 
                        MULTIVARIABLE 
                 ELKA BLOCK                       FRANK PURCELL 
                    THOMAS’ CALCULUS 
                        THIRTEENTH EDITION 
                                AND 
                    THOMAS’ CALCULUS  
                  EARLY TRANSCENDENTALS 
                        THIRTEENTH EDITION 
                        Based on the original work by 
                      George B. Thomas, Jr 
                        Massachusetts Institute of Technology 
                              as revised by 
                          Maurice D. Weir 
                           Naval Postgraduate School 
                             Joel Hass 
                          University of California, Davis 
                           with the assistance of 
                          Christopher Heil 
                         Georgia Institute of Technology 
                                        
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             Reproduced by Pearson from electronic files supplied by the author. 
              
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             Publishing as Pearson, 75 Arlington Street, Boston, MA  02116. 
              
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             permission of the publisher. Printed in the United States of America. 
              
             ISBN-13: 978-0-321-87901-1 
             ISBN-10: 0-321-87901-5 
              
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                    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  801 
        11.2  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  927 
        13.2  Integrals of Vector Functions; Projectile Motion  933 
        13.3  Arc Length in Space  941 
        13.4  Curvature and Normal Vectors of a Curve  945 
        13.5  Tangential and Normal Components of Acceleration  952 
 Thomas Calculus 13th Edition Thomas Solutions Manual
 Full Download: http://testbanklive.com/download/thomas-calculus-13th-edition-thomas-solutions-manual/
         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 
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