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Solutions for Chapter 6.3: Volumes of Revolution

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Solutions for Chapter 6.3: Volumes of Revolution

Solutions for Chapter 6.3
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Textbook: Calculus: Early Transcendentals
Edition: 3
Author: Jon Rogawski, Colin Adams
ISBN: 9781464114885

Chapter 6.3: Volumes of Revolution includes 64 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 64 problems in chapter 6.3: Volumes of Revolution have been answered, more than 41674 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

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

    See Inverse cosine function.

  • Coefficient of determination

    The number r2 or R2 that measures how well a regression curve fits the data

  • Domain of a function

    The set of all input values for a function

  • equation of a hyperbola

    (x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

  • Event

    A subset of a sample space.

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Natural logarithm

    A logarithm with base e.

  • Quotient identities

    tan ?= sin ?cos ?and cot ?= cos ? sin ?

  • Reflection across the y-axis

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

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Sine

    The function y = sin x.

  • Sinusoidal regression

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

  • Speed

    The magnitude of the velocity vector, given by distance/time.

  • Statistic

    A number that measures a quantitative variable for a sample from a population.

  • Third quartile

    See Quartile.

  • Transitive property

    If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

  • Triangular number

    A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

  • Unit vector in the direction of a vector

    A unit vector that has the same direction as the given vector.

  • Viewing window

    The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

  • Work

    The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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