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# Solutions for Chapter 14.9: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 14.9

Solutions for Chapter 14.9
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Since 12 problems in chapter 14.9 have been answered, more than 89076 students have viewed full step-by-step solutions from this chapter. Chapter 14.9 includes 12 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Determinant

A number that is associated with a square matrix

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Equation

A statement of equality between two expressions.

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Imaginary part of a complex number

See Complex number.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Logarithmic regression

See Natural logarithmic regression

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Trichotomy property

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

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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