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# Solutions for Chapter 15: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 15

Solutions for Chapter 15
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 15 includes 92 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 92 problems in chapter 15 have been answered, more than 71248 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Constant of variation

See Power function.

• Course

See Bearing.

• Cubic

A degree 3 polynomial function

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Inverse secant function

The function y = sec-1 x

• Line of travel

The path along which an object travels

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Normal curve

The graph of ƒ(x) = e-x2/2

• Open interval

An interval that does not include its endpoints.

• Phase shift

See Sinusoid.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Quartic function

A degree 4 polynomial function.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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