Solutions for Chapter 11.3: Continuous Functions

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 11.3: Continuous Functions

Since 10 problems in chapter 11.3: Continuous Functions have been answered, more than 2595 students have viewed full step-by-step solutions from this chapter. 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. Chapter 11.3: Continuous Functions includes 10 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Absolute maximum

    A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

  • Coordinate plane

    See Cartesian coordinate system.

  • Cotangent

    The function y = cot x

  • Course

    See Bearing.

  • Distance (on a number line)

    The distance between real numbers a and b, or |a - b|

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Eccentricity

    A nonnegative number that specifies how off-center the focus of a conic is

  • Horizontal asymptote

    The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

  • Instantaneous rate of change

    See Derivative at x = a.

  • Inverse variation

    See Power function.

  • Lemniscate

    A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

  • Linear programming problem

    A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

  • Lower bound for real zeros

    A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

  • Multiplicative inverse of a matrix

    See Inverse of a matrix

  • Probability of an event in a finite sample space of equally likely outcomes

    The number of outcomes in the event divided by the number of outcomes in the sample space.

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Radius

    The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

  • Real part of a complex number

    See Complex number.

  • Vertex of a cone

    See Right circular cone.

  • xy-plane

    The points x, y, 0 in Cartesian space.

×
Log in to StudySoup
Get Full Access to Introduction to Real Analysis

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Introduction to Real Analysis
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here