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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 6783 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by 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
  • Angle

    Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

  • Arithmetic sequence

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

  • Average velocity

    The change in position divided by the change in time.

  • Common logarithm

    A logarithm with base 10.

  • Conic section (or conic)

    A curve obtained by intersecting a double-napped right circular cone with a plane

  • Conjugate axis of a hyperbola

    The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

  • Convergence of a series

    A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

  • Empty set

    A set with no elements

  • Horizontal Line Test

    A test for determining whether the inverse of a relation is a function.

  • Identity function

    The function ƒ(x) = x.

  • Infinite discontinuity at x = a

    limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

  • Intermediate Value Theorem

    If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

  • Inverse of a matrix

    The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

  • Inverse reflection principle

    If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Product of functions

    (ƒg)(x) = ƒ(x)g(x)

  • Replication

    The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

  • Sample survey

    A process for gathering data from a subset of a population, usually through direct questioning.

  • Statute mile

    5280 feet.

  • Yscl

    The scale of the tick marks on the y-axis in a viewing window.

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