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Solutions for Chapter 5.1: Introduction: Areas and Volumes

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Solutions for Chapter 5.1: Introduction: Areas and Volumes

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Introduction: Areas and Volumes includes 16 full step-by-step solutions. Since 16 problems in chapter 5.1: Introduction: Areas and Volumes have been answered, more than 12650 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Key Calculus Terms and definitions covered in this textbook
  • Acute angle

    An angle whose measure is between 0° and 90°

  • 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

  • Compounded continuously

    Interest compounded using the formula A = Pert

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • Divisor of a polynomial

    See Division algorithm for polynomials.

  • Identity properties

    a + 0 = a, a ? 1 = a

  • Index of summation

    See Summation notation.

  • Inductive step

    See Mathematical induction.

  • Inferential statistics

    Using the science of statistics to make inferences about the parameters in a population from a sample.

  • Mean (of a set of data)

    The sum of all the data divided by the total number of items

  • Multiplication principle of counting

    A principle used to find the number of ways an event can occur.

  • 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).

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Periodic function

    A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

  • 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.

  • Slope

    Ratio change in y/change in x

  • System

    A set of equations or inequalities.

  • Variable

    A letter that represents an unspecified number.

  • Variation

    See Power function.

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