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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 7181 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Directed angle

See Polar coordinates.

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Linear function

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

• Local extremum

A local maximum or a local minimum

• Negative linear correlation

See Linear correlation.

• Objective function

See Linear programming problem.

• Order of magnitude (of n)

log n.

• Parameter

See Parametric equations.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Reflexive property of equality

a = a

• Row operations

See Elementary row operations.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Slant line

A line that is neither horizontal nor vertical

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Variance

The square of the standard deviation.

• Vertex of a cone

See Right circular cone.

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