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Solutions for Chapter 15.5: Applications of Double Integrals

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Solutions for Chapter 15.5: Applications of Double Integrals

Solutions for Chapter 15.5
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Textbook: Calculus: Early Transcendentals
Edition: 7
Author: ames Stewart
ISBN: 9780538497909

Since 33 problems in chapter 15.5: Applications of Double Integrals have been answered, more than 10445 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.5: Applications of Double Integrals includes 33 full step-by-step solutions. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Key Calculus Terms and definitions covered in this textbook
  • Binomial coefficients

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

  • Bounded

    A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

  • Composition of functions

    (f ? g) (x) = f (g(x))

  • Descriptive statistics

    The gathering and processing of numerical information

  • Distance (in Cartesian space)

    The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

  • Double inequality

    A statement that describes a bounded interval, such as 3 ? x < 5

  • Equally likely outcomes

    Outcomes of an experiment that have the same probability of occurring.

  • Hyperboloid of revolution

    A surface generated by rotating a hyperbola about its transverse axis, p. 607.

  • Imaginary part of a complex number

    See Complex number.

  • Magnitude of a real number

    See Absolute value of a real number

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • 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)

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Positive association

    A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

  • Product of complex numbers

    (a + bi)(c + di) = (ac - bd) + (ad + bc)i

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Sum identity

    An identity involving a trigonometric function of u + v

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

  • Zero matrix

    A matrix consisting entirely of zeros.

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