×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide

Solutions for Chapter 11.1: Open and Closed Sets in IR

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 11.1: Open and Closed Sets in IR

Solutions for Chapter 11.1
4 5 0 421 Reviews
12
5
Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

Chapter 11.1: Open and Closed Sets in IR includes 24 full step-by-step solutions. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. 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 24 problems in chapter 11.1: Open and Closed Sets in IR have been answered, more than 6858 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Domain of validity of an identity

    The set of values of the variable for which both sides of the identity are defined

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • Fundamental

    Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

  • Half-life

    The amount of time required for half of a radioactive substance to decay.

  • Imaginary axis

    See Complex plane.

  • Linear correlation

    A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

  • Numerical derivative of ƒ at a

    NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

  • Ordered set

    A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Radian measure

    The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

  • Reflection through the origin

    x, y and (-x,-y) are reflections of each other through the origin.

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Upper bound for real zeros

    A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

  • Variable (in statistics)

    A characteristic of individuals that is being identified or measured.

  • Vertical component

    See Component form of a vector.

  • Xscl

    The scale of the tick marks on the x-axis in a viewing window.

  • z-axis

    Usually the third dimension in Cartesian space.

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password