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Solutions for Chapter 15: Multiple Integrals

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 15: Multiple Integrals

Solutions for Chapter 15
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Since 54 problems in chapter 15: Multiple Integrals have been answered, more than 8632 students have viewed full step-by-step solutions from this chapter. Chapter 15: Multiple Integrals includes 54 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12.

Key Calculus Terms and definitions covered in this textbook
  • Arctangent function

    See Inverse tangent function.

  • Common logarithm

    A logarithm with base 10.

  • Complex plane

    A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Directed distance

    See Polar coordinates.

  • Fitting a line or curve to data

    Finding a line or curve that comes close to passing through all the points in a scatter plot.

  • Inequality symbol or

    <,>,<,>.

  • Intermediate Value Theorem

    If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Linear programming problem

    A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

  • Magnitude of a real number

    See Absolute value of a real number

  • Measure of an angle

    The number of degrees or radians in an angle

  • Nappe

    See Right circular cone.

  • Order of magnitude (of n)

    log n.

  • Probability simulation

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

  • Semiperimeter of a triangle

    One-half of the sum of the lengths of the sides of a triangle.

  • Sinusoidal regression

    A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

  • Summation notation

    The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

  • Symmetric matrix

    A matrix A = [aij] with the property aij = aji for all i and j

  • Terminal side of an angle

    See Angle.

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