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Solutions for Chapter 15.7: Divergence Theorem

Calculus: Early Transcendental Functions | 4th Edition | ISBN: 9780618606245 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Calculus: Early Transcendental Functions | 4th Edition | ISBN: 9780618606245 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 15.7: Divergence Theorem

Solutions for Chapter 15.7
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Textbook: Calculus: Early Transcendental Functions
Edition: 4
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618606245

Since 28 problems in chapter 15.7: Divergence Theorem have been answered, more than 42160 students have viewed full step-by-step solutions from this chapter. Chapter 15.7: Divergence Theorem includes 28 full step-by-step solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4.

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.

  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Associative properties

    a + (b + c) = (a + b) + c, a(bc) = (ab)c.

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Directrix of a parabola, ellipse, or hyperbola

    A line used to determine the conic

  • 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

  • Implied domain

    The domain of a function’s algebraic expression.

  • Line of symmetry

    A line over which a graph is the mirror image of itself

  • Linear factorization theorem

    A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Mapping

    A function viewed as a mapping of the elements of the domain onto the elements of the range

  • Numerical model

    A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

  • Opens upward or downward

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

  • Polar coordinate system

    A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

  • Product of functions

    (ƒg)(x) = ƒ(x)g(x)

  • Reduced row echelon form

    A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

  • Resolving a vector

    Finding the horizontal and vertical components of a vector.

  • Solve graphically

    Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

  • Vertical component

    See Component form of a vector.

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