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Solutions for Chapter 4.1: Differentials and Taylors Theorem

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 4.1: Differentials and Taylors Theorem

Solutions for Chapter 4.1
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Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
ISBN: 9780321780652

Vector Calculus was written by and is associated to the ISBN: 9780321780652. This expansive textbook survival guide covers the following chapters and their solutions. Since 43 problems in chapter 4.1: Differentials and Taylors Theorem have been answered, more than 13532 students have viewed full step-by-step solutions from this chapter. Chapter 4.1: Differentials and Taylors Theorem includes 43 full step-by-step solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4.

Key Calculus Terms and definitions covered in this textbook
  • Average velocity

    The change in position divided by the change in time.

  • Bearing

    Measure of the clockwise angle that the line of travel makes with due north

  • Compound interest

    Interest that becomes part of the investment

  • Damping factor

    The factor Ae-a in an equation such as y = Ae-at cos bt

  • Dependent variable

    Variable representing the range value of a function (usually y)

  • First-degree equation in x , y, and z

    An equation that can be written in the form.

  • Identity

    An equation that is always true throughout its domain.

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • nth root of a complex number z

    A complex number v such that vn = z

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Polar distance formula

    The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

  • Product of matrices A and B

    The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Right circular cone

    The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Symmetric about the origin

    A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

  • Transitive property

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

  • Vertices of a hyperbola

    The points where a hyperbola intersects the line containing its foci.

  • z-axis

    Usually the third dimension in Cartesian space.

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