Solutions for Chapter 11.2: Compact Sets

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 11.2: Compact Sets

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Since 15 problems in chapter 11.2: Compact Sets have been answered, more than 3155 students have viewed full step-by-step solutions from this chapter. Chapter 11.2: Compact Sets includes 15 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Angular speed

    Speed of rotation, typically measured in radians or revolutions per unit time

  • Binomial probability

    In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

  • Bounded interval

    An interval that has finite length (does not extend to ? or -?)

  • Closed interval

    An interval that includes its endpoints

  • Cosine

    The function y = cos x

  • Coterminal angles

    Two angles having the same initial side and the same terminal side

  • Demand curve

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

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Logistic regression

    A procedure for fitting a logistic curve to a set of data

  • Partial fraction decomposition

    See Partial fractions.

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Pseudo-random numbers

    Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Quartic function

    A degree 4 polynomial function.

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Solve by substitution

    Method for solving systems of linear equations.

  • Transformation

    A function that maps real numbers to real numbers.

  • Viewing window

    The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

  • Work

    The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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