Solutions for Chapter 16: Integration in Vector Fields

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 16: Integration in Vector Fields

Solutions for Chapter 16
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 16: Integration in Vector Fields have been answered, more than 4036 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by Sieva Kozinsky and is associated to the ISBN: 9780321587992. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Chapter 16: Integration in Vector Fields includes 60 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Arithmetic sequence

    A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

  • Census

    An observational study that gathers data from an entire population

  • Coefficient of determination

    The number r2 or R2 that measures how well a regression curve fits the data

  • Elements of a matrix

    See Matrix element.

  • Ellipse

    The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

  • Equally likely outcomes

    Outcomes of an experiment that have the same probability of occurring.

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Interval notation

    Notation used to specify intervals, pp. 4, 5.

  • Inverse variation

    See Power function.

  • Law of cosines

    a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

  • Line graph

    A graph of data in which consecutive data points are connected by line segments

  • Linear regression

    A procedure for finding the straight line that is the best fit for the data

  • Midpoint (in Cartesian space)

    For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • Real zeros

    Zeros of a function that are real numbers.

  • Resistant measure

    A statistical measure that does not change much in response to outliers.

  • Variance

    The square of the standard deviation.

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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