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Solutions for Chapter 14.4: Center of Mass and Moments of Inertia

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 14.4: Center of Mass and Moments of Inertia

Solutions for Chapter 14.4
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

Calculus was written by and is associated to the ISBN: 9780618502981. This textbook survival guide was created for the textbook: Calculus, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.4: Center of Mass and Moments of Inertia includes 58 full step-by-step solutions. Since 58 problems in chapter 14.4: Center of Mass and Moments of Inertia have been answered, more than 76568 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Cosecant

    The function y = csc x

  • Data

    Facts collected for statistical purposes (singular form is datum)

  • Double-angle identity

    An identity involving a trigonometric function of 2u

  • Future value of an annuity

    The net amount of money returned from an annuity.

  • Irrational numbers

    Real numbers that are not rational, p. 2.

  • Law of cosines

    a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

  • Line of symmetry

    A line over which a graph is the mirror image of itself

  • Linear factorization theorem

    A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

  • Maximum r-value

    The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • Parametric equations

    Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

  • Quartile

    The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

  • Relevant domain

    The portion of the domain applicable to the situation being modeled.

  • Right triangle

    A triangle with a 90° angle.

  • Slope-intercept form (of a line)

    y = mx + b

  • Supply curve

    p = ƒ(x), where x represents production and p represents price

  • Trichotomy property

    For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

  • Vector equation for a line in space

    The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

  • Vertical line

    x = a.

  • Zero factor property

    If ab = 0 , then either a = 0 or b = 0.

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