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# Solutions for Chapter 14.4: Center of Mass and Moments of Inertia ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 14.4: Center of Mass and Moments of Inertia

Solutions for Chapter 14.4
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##### 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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