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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

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
  • Addition property of inequality

    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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