Complete solutions manual for Multivariable calculus, sixth edition

6th ed.
  • 2 Want to read

My Reading Lists:

Create a new list


  • 2 Want to read

Buy this book

Last edited by ImportBot
April 20, 2022 | History

Complete solutions manual for Multivariable calculus, sixth edition

6th ed.
  • 2 Want to read

Contains detailed solutions to all exercises in the texts Multivariable calculus, 6th ed. and Multivariable calculus : early transcendentals, 6th ed. (chapters 11-18 of Calculus, 6th ed. and chapters 10-17 of Calculus : early transcendentals, 6th ed.).

Publish Date
Language
English
Pages
657

Buy this book

Previews available in: English

Book Details


Table of Contents

11. Parametric Equations and Polar Coordinates
Page 1
11.1. Curves Defined by Parametric Equations
Page 1
Laboratory Project - Running Circles Around Circles
Page 13
11.2. Calculus with Parametric Curves
Page 16
Laboratory Project - Bézier Curves
Page 31
11.3. Polar Coordinates
Page 32
11.4. Areas and Lengths in Polar Coordinates
Page 49
11.5. Conic Sections
Page 60
11.6. Conic Sections in Polar Coordinates
Page 70
Review
Page 76
Problems Plus
Page 87
12. Infinite Sequences and Series
Page 93
12.1. Sequences
Page 93
Laboratory Project - Logistic Sequences
Page 104
12.2. Series
Page 108
12.3. The Integral Test and Estimates of Sums
Page 121
12.4. The Comparison Tests
Page 128
12.5. Alternating Series
Page 134
12.6. Absolute Convergence and the Ratio and Root Tests
Page 139
12.7. Strategy for Testing Series
Page 144
12.8. Power Series
Page 148
12.9. Representations of Functions as Power Series
Page 156
12.10. Taylor and Maclaurin Series
Page 165
Laboratory Project - An Elusive Limit
Page 180
12.11. Applications of Taylor Polynomials
Page 181
Applied Project - Radiation from the Stars
Page 194
Review
Page 195
Problems Plus
Page 207
13. Vectors and the Geometry of Space
Page 217
13.1. Three-Dimensional Coordinate Systems
Page 217
13.2. Vectors
Page 223
13.3. The Dot Product
Page 231
13.4. The Cross Product
Page 239
Discovery Project - The Geometry of a Tetrahedron
Page 248
13.5. Equations of Lines and Planes
Page 249
Laboratory Project - Putting 3D in Perspective
Page 260
13.6. Cylinders and Quadric Surfaces
Page 262
Review
Page 272
Problems Plus
Page 281
14. Vector Functions
Page 285
14.1. Vector Functions and Space Curves
Page 285
14.2. Derivatives and Integrals of Vector Functions
Page 294
14.3. Arc Length and Curvature
Page 302
14.4. Motion in Space: Velocity and Acceleration
Page 314
Applied Project - Kepler's Laws
Page 324
Review
Page 325
Problems Plus
Page 331
15. Partial Derivatives
Page 337
15.1. Functions of Several Variables
Page 337
15.2. Limits and Continuity
Page 354
15.3. Partial Derivatives
Page 360
15.4. Tangent Planes and Linear Approximations
Page 376
15.5. The Chain Rule
Page 384
15.6. Directional Derivatives and the Gradient Vector
Page 394
15.7. Maximum and Minimum Values
Page 405
Applied Project - Designing a Dumpster
Page 423
Discovery Project - Quadratic Approximations and Critical Points
Page 425
15.8. Lagrange Multipliers
Page 428
Applied Project - Rocket Science
Page 438
Applied Project - Hydro-Turbine Optimization
Page 440
Review
Page 442
Problems Plus
Page 457
16. Multiple Integrals
Page 463
16.1. Double Integrals over Rectangles
Page 463
16.2. Iterated Integrals
Page 468
16.3. Double Integrals over General Regions
Page 473
16.4. Double Integrals in Polar Coordinates
Page 483
16.5. Applications of Double Integrals
Page 489
16.6. Triple Integrals
Page 499
Discovery Project - Volumes of Hyperspheres
Page 514
16.7. Triple Integrals in Cylindrical Coordinates
Page 515
Discovery Project - The Intersection of Three Cylinders
Page 521
16.8. Triple Integrals in Spherical Coordinates
Page 523
Applied Project - Roller Derby
Page 531
16.9. Change of Variables in Multiple Integrals
Page 533
Review
Page 537
Problems Plus
Page 549
17. Vector Calculus
Page 555
17.1. Vector Fields
Page 555
17.2. Line Integrals
Page 560
17.3. The Fundamental Theorem for Line Integrals
Page 568
17.4. Green's Theorem
Page 573
17.5. Curl and Divergence
Page 579
17.6. Parametric Surfaces and Their Areas
Page 587
17.7. Surface Integrals
Page 600
17.8. Stokes' Theorem
Page 609
17.9. The Divergence Theorem
Page 613
Review
Page 618
Problems Plus
Page 627
18. Second-Order Differential Equations
Page 630
18.1. Second-Order Linear Equations
Page 631
18.2. Nonhomogeneous Linear Equations
Page 634
18.3. Applications of Second-Order Differential Equations
Page 639
18.4. Series Solutions
Page 643
Review
Page 648
Appendixes
Page 653
G. Complex Numbers
Page 653

Edition Notes

Published in
Belmont, CA
Other Titles
Complete solutions manual for Stewart's Multivariable calculus, 6E

Classifications

Library of Congress
QA303.2 .S73522 2008

The Physical Object

Pagination
x, 657 pages
Number of pages
657

Edition Identifiers

Open Library
OL37824514M
Internet Archive
completesolution0000cleg_t4c7
ISBN 10
0495012297
ISBN 13
9780495012290
OCLC/WorldCat
166929356

Work Identifiers

Work ID
OL27719722W

Community Reviews (0)

No community reviews have been submitted for this work.

Lists

History

Download catalog record: RDF / JSON
April 20, 2022 Created by ImportBot import new book