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Solutions for Chapter 12.5: FUNCTIONS OF THREE 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 12.5: FUNCTIONS OF THREE VARIABLES

Solutions for Chapter 12.5
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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. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 54 problems in chapter 12.5: FUNCTIONS OF THREE VARIABLES have been answered, more than 10974 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: FUNCTIONS OF THREE VARIABLES includes 54 full step-by-step solutions. Calculus: Single and Multivariable was written by Patricia and is associated to the ISBN: 9780470888612.

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

    See Magnitude of a vector.

  • Average velocity

    The change in position divided by the change in time.

  • 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)

  • Double-blind experiment

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

  • Higher-degree polynomial function

    A polynomial function whose degree is ? 3

  • Irreducible quadratic over the reals

    A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

  • LRAM

    A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • Objective function

    See Linear programming problem.

  • Order of magnitude (of n)

    log n.

  • Random behavior

    Behavior that is determined only by the laws of probability.

  • Rational zeros

    Zeros of a function that are rational numbers.

  • 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.

  • Speed

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

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Sum of complex numbers

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

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • System

    A set of equations or inequalities.

  • Vertical stretch or shrink

    See Stretch, Shrink.

  • y-intercept

    A point that lies on both the graph and the y-axis.

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