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# 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

Solutions for Chapter 11.2
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##### ISBN: 9780471321484

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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