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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 Sieva Kozinsky and is associated to the ISBN: 9780321587992. Since 54 problems in chapter 15: Multiple Integrals have been answered, more than 3075 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
  • Additive inverse of a real number

    The opposite of b , or -b

  • Arccotangent function

    See Inverse cotangent function.

  • Categorical variable

    In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

  • Distance (in a coordinate plane)

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

  • Divisor of a polynomial

    See Division algorithm for polynomials.

  • Double-angle identity

    An identity involving a trigonometric function of 2u

  • First quartile

    See Quartile.

  • Invertible linear system

    A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

  • Mathematical model

    A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

  • Natural exponential function

    The function ƒ1x2 = ex.

  • Natural logarithmic function

    The inverse of the exponential function y = ex, denoted by y = ln x.

  • Pythagorean identities

    sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

  • Quadratic equation in x

    An equation that can be written in the form ax 2 + bx + c = 01a ? 02

  • Radian measure

    The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

  • Reflection across the x-axis

    x, y and (x,-y) are reflections of each other across the x-axis.

  • Removable discontinuity at x = a

    lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

  • Right triangle

    A triangle with a 90° angle.

  • Sample space

    Set of all possible outcomes of an experiment.

  • System

    A set of equations or inequalities.

  • Vertical stretch or shrink

    See Stretch, Shrink.

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