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Solutions for Chapter 12.PE: University Calculus: Early Transcendentals 2nd Edition

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

Solutions for Chapter 12.PE

Solutions for Chapter 12.PE
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Textbook: University Calculus: Early Transcendentals
Edition: 2
Author: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.
ISBN: 9780321717399

Since 32 problems in chapter 12.PE have been answered, more than 57576 students have viewed full step-by-step solutions from this chapter. Chapter 12.PE includes 32 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2.

Key Calculus Terms and definitions covered in this textbook
  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Angle between vectors

    The angle formed by two nonzero vectors sharing a common initial point

  • Arc length formula

    The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

  • 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

  • Characteristic polynomial of a square matrix A

    det(xIn - A), where A is an n x n matrix

  • Difference of complex numbers

    (a + bi) - (c + di) = (a - c) + (b - d)i

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Half-angle identity

    Identity involving a trigonometric function of u/2.

  • Histogram

    A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

  • Hyperboloid of revolution

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

  • Invertible linear system

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

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Outcomes

    The various possible results of an experiment.

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Randomization

    The principle of experimental design that makes it possible to use the laws of probability when making inferences.

  • Real axis

    See Complex plane.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Real zeros

    Zeros of a function that are real numbers.

  • Scientific notation

    A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

  • Slope

    Ratio change in y/change in x

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