# Solutions for Chapter 13.4: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 13.4

Solutions for Chapter 13.4
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Since 26 problems in chapter 13.4 have been answered, more than 35716 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Chapter 13.4 includes 26 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Closed interval

An interval that includes its endpoints

• Coefficient of determination

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

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Negative linear correlation

See Linear correlation.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Paraboloid of revolution

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

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

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

• Real part of a complex number

See Complex number.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Transformation

A function that maps real numbers to real numbers.

• Trichotomy property

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

• Variance

The square of the standard deviation.

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