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Solutions for Chapter 13: Functions of Several Variables

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 13: Functions of Several Variables

Solutions for Chapter 13
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

Chapter 13: Functions of Several Variables includes 100 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 100 problems in chapter 13: Functions of Several Variables have been answered, more than 76571 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9780618502981.

Key Calculus Terms and definitions covered in this textbook
  • Average rate of change of ƒ over [a, b]

    The number ƒ(b) - ƒ(a) b - a, provided a ? b.

  • Bounded

    A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

  • Completing the square

    A method of adding a constant to an expression in order to form a perfect square

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • Difference of functions

    (ƒ - g)(x) = ƒ(x) - g(x)

  • Endpoint of an interval

    A real number that represents one “end” of an interval.

  • Graph of a function ƒ

    The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

  • Instantaneous rate of change

    See Derivative at x = a.

  • Inverse sine function

    The function y = sin-1 x

  • Leading coefficient

    See Polynomial function in x

  • Linear inequality in two variables x and y

    An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • PH

    The measure of acidity

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • Semimajor axis

    The distance from the center to a vertex of an ellipse.

  • Sphere

    A set of points in Cartesian space equally distant from a fixed point called the center.

  • Sum of two vectors

    <u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

  • Term of a polynomial (function)

    An expression of the form anxn in a polynomial (function).

  • Tree diagram

    A visualization of the Multiplication Principle of Probability.

  • z-coordinate

    The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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