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Solutions for Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES

Calculus: Early Transcendentals, | 10th Edition | ISBN: 9780470647691 | Authors: Howard Anton Irl C. Bivens, Stephen Davis

Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Calculus: Early Transcendentals, | 10th Edition | ISBN: 9780470647691 | Authors: Howard Anton Irl C. Bivens, Stephen Davis

Solutions for Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES

Solutions for Chapter 13.1
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Textbook: Calculus: Early Transcendentals,
Edition: 10
Author: Howard Anton Irl C. Bivens, Stephen Davis
ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES includes 78 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES have been answered, more than 39782 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.

  • Arithmetic sequence

    A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

  • Binomial probability

    In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

  • Cardioid

    A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

  • Correlation coefficient

    A measure of the strength of the linear relationship between two variables, pp. 146, 162.

  • Definite integral

    The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • Implicitly defined function

    A function that is a subset of a relation defined by an equation in x and y.

  • Infinite limit

    A special case of a limit that does not exist.

  • 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

  • Measure of an angle

    The number of degrees or radians in an angle

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • Parallelogram representation of vector addition

    Geometric representation of vector addition using the parallelogram determined by the position vectors.

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Probability simulation

    A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

  • Remainder theorem

    If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

  • Symmetric about the origin

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

  • Trichotomy property

    For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

  • x-axis

    Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

  • Zero of a function

    A value in the domain of a function that makes the function value zero.

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