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Solutions for Chapter 13.5: Chain Rules for Functions of Several Variables

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Full solutions for Calculus | 9th Edition

ISBN: 9780547167022

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Solutions for Chapter 13.5: Chain Rules for Functions of Several Variables

Solutions for Chapter 13.5
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 13.5: Chain Rules for Functions of Several Variables includes 65 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9780547167022. Since 65 problems in chapter 13.5: Chain Rules for Functions of Several Variables have been answered, more than 64323 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Arc length formula

    The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

  • Arcsine function

    See Inverse sine function.

  • Chord of a conic

    A line segment with endpoints on the conic

  • Domain of validity of an identity

    The set of values of the variable for which both sides of the identity are defined

  • Double-blind experiment

    A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • Exponent

    See nth power of a.

  • 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

  • Logarithmic re-expression of data

    Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

  • Lower bound test for real zeros

    A test for finding a lower bound for the real zeros of a polynomial

  • NDER ƒ(a)

    See Numerical derivative of ƒ at x = a.

  • Opposite

    See Additive inverse of a real number and Additive inverse of a complex number.

  • Quadric surface

    The graph in three dimensions of a seconddegree equation in three variables.

  • Real zeros

    Zeros of a function that are real numbers.

  • Root of a number

    See Principal nth root.

  • Scatter plot

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

  • Standard form of a polar equation of a conic

    r = ke 1 e cos ? or r = ke 1 e sin ? ,

  • Third quartile

    See Quartile.

  • Viewing window

    The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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