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 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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