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Solutions for Chapter 6.3: Conservative Vector Fields

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Solutions for Chapter 6.3: Conservative Vector Fields

Solutions for Chapter 6.3
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Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
ISBN: 9780321780652

Since 37 problems in chapter 6.3: Conservative Vector Fields have been answered, more than 13559 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Chapter 6.3: Conservative Vector Fields includes 37 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Angle of depression

    The acute angle formed by the line of sight (downward) and the horizontal

  • Annuity

    A sequence of equal periodic payments.

  • Common difference

    See Arithmetic sequence.

  • Complements or complementary angles

    Two angles of positive measure whose sum is 90°

  • Data

    Facts collected for statistical purposes (singular form is datum)

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • Horizontal component

    See Component form of a vector.

  • Horizontal translation

    A shift of a graph to the left or right.

  • Line of travel

    The path along which an object travels

  • Linear equation in x

    An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

  • Midpoint (in a coordinate plane)

    For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

  • Obtuse triangle

    A triangle in which one angle is greater than 90°.

  • Order of magnitude (of n)

    log n.

  • Parallelogram representation of vector addition

    Geometric representation of vector addition using the parallelogram determined by the position vectors.

  • Sequence

    See Finite sequence, Infinite sequence.

  • Solve by elimination or substitution

    Methods for solving systems of linear equations.

  • Transitive property

    If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

  • Vertex of a cone

    See Right circular cone.

  • Vertical component

    See Component form of a vector.

  • Zero factor property

    If ab = 0 , then either a = 0 or b = 0.

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