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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 11551 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
  • Additive inverse of a real number

    The opposite of b , or -b

  • Control

    The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

  • Data

    Facts collected for statistical purposes (singular form is datum)

  • Deductive reasoning

    The process of utilizing general information to prove a specific hypothesis

  • Frequency distribution

    See Frequency table.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Intermediate Value Theorem

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

  • Law of cosines

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

  • Linear regression line

    The line for which the sum of the squares of the residuals is the smallest possible

  • LRAM

    A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Probability simulation

    A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

  • Quadratic function

    A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Row operations

    See Elementary row operations.

  • Sine

    The function y = sin x.

  • Standard deviation

    A measure of how a data set is spread

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • Symmetric difference quotient of ƒ at a

    ƒ(x + h) - ƒ(x - h) 2h

  • Zero vector

    The vector <0,0> or <0,0,0>.

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