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Solutions for Chapter 14.4: GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE

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 14.4: GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE

Solutions for Chapter 14.4
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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

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.4: GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE includes 111 full step-by-step solutions. Since 111 problems in chapter 14.4: GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE have been answered, more than 42184 students have viewed full step-by-step solutions from this chapter. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
  • Average velocity

    The change in position divided by the change in time.

  • Compounded monthly

    See Compounded k times per year.

  • Directed line segment

    See Arrow.

  • Exponential regression

    A procedure for fitting an exponential function to a set of data.

  • Finite sequence

    A function whose domain is the first n positive integers for some fixed integer n.

  • 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

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Inductive step

    See Mathematical induction.

  • Limaçon

    A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

  • Logarithmic form

    An equation written with logarithms instead of exponents

  • One-to-one function

    A function in which each element of the range corresponds to exactly one element in the domain

  • Periodic function

    A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

  • Random variable

    A function that assigns real-number values to the outcomes in a sample space.

  • Rational function

    Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

  • Second

    Angle measure equal to 1/60 of a minute.

  • Semimajor axis

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

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Speed

    The magnitude of the velocity vector, given by distance/time.

  • Variation

    See Power function.

  • yz-plane

    The points (0, y, z) in Cartesian space.

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