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Solutions for Chapter 12: FUNCTIONS OF SEVERAL VARIABLES

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Solutions for Chapter 12: FUNCTIONS OF SEVERAL VARIABLES

Solutions for Chapter 12
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Textbook: Calculus: Single and Multivariable
Edition: 6
Author: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more
ISBN: 9780470888612

Since 48 problems in chapter 12: FUNCTIONS OF SEVERAL VARIABLES have been answered, more than 43442 students have viewed full step-by-step solutions from this chapter. Chapter 12: FUNCTIONS OF SEVERAL VARIABLES includes 48 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
  • Anchor

    See Mathematical induction.

  • 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.

  • 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

  • Difference of complex numbers

    (a + bi) - (c + di) = (a - c) + (b - d)i

  • Factored form

    The left side of u(v + w) = uv + uw.

  • Fibonacci sequence

    The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

  • Horizontal asymptote

    The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

  • Imaginary axis

    See Complex plane.

  • Inverse variation

    See Power function.

  • Irrational numbers

    Real numbers that are not rational, p. 2.

  • Modified boxplot

    A boxplot with the outliers removed.

  • Multiplicative identity for matrices

    See Identity matrix

  • Octants

    The eight regions of space determined by the coordinate planes.

  • Opens upward or downward

    A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

  • Ordinary annuity

    An annuity in which deposits are made at the same time interest is posted.

  • Period

    See Periodic function.

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Subtraction

    a - b = a + (-b)

  • symmetric about the x-axis

    A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

  • Symmetric property of equality

    If a = b, then b = a

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