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# Solutions for Chapter 8.3: The Exponential and Logarithmic Functions

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 8.3: The Exponential and Logarithmic Functions

Solutions for Chapter 8.3
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##### ISBN: 9780471321484

Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Chapter 8.3: The Exponential and Logarithmic Functions includes 17 full step-by-step solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 17 problems in chapter 8.3: The Exponential and Logarithmic Functions have been answered, more than 3115 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Demand curve

p = g(x), where x represents demand and p represents price

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Horizontal translation

A shift of a graph to the left or right.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Measure of center

A measure of the typical, middle, or average value for a data set

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Objective function

See Linear programming problem.

• Period

See Periodic function.

• Real zeros

Zeros of a function that are real numbers.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Slant asymptote

An end behavior asymptote that is a slant line

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• Variation

See Power function.

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