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Solutions for Chapter 13.1: Introduction to Functions of Several Variables

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Solutions for Chapter 13.1: Introduction to Functions of Several Variables

Solutions for Chapter 13.1
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Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 13.1: Introduction to Functions of Several Variables includes 91 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 91 problems in chapter 13.1: Introduction to Functions of Several Variables have been answered, more than 43703 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • Angle of elevation

    The acute angle formed by the line of sight (upward) and the horizontal

  • Bounded interval

    An interval that has finite length (does not extend to ? or -?)

  • Causation

    A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

  • Center

    The central point in a circle, ellipse, hyperbola, or sphere

  • Dependent variable

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

  • Derivative of ƒ at x a

    ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

  • 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.

  • Half-life

    The amount of time required for half of a radioactive substance to decay.

  • Imaginary part of a complex number

    See Complex number.

  • 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.

  • Matrix, m x n

    A rectangular array of m rows and n columns of real numbers

  • NDER ƒ(a)

    See Numerical derivative of ƒ at x = a.

  • nth root of a complex number z

    A complex number v such that vn = z

  • Opposite

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

  • Present value of an annuity T

    he net amount of your money put into an annuity.

  • Rectangular coordinate system

    See Cartesian coordinate system.

  • Right angle

    A 90° angle.

  • Sequence of partial sums

    The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

  • Transitive property

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

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