> > > Chapter 5.3

# Solutions for Chapter 5.3: Continuous Functions on Intervals

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 5.3: Continuous Functions on Intervals

Solutions for Chapter 5.3
4 5 0 371 Reviews
23
1
##### ISBN: 9780471321484

Introduction to Real Analysis was written by and is associated to the 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. Chapter 5.3: Continuous Functions on Intervals includes 19 full step-by-step solutions. Since 19 problems in chapter 5.3: Continuous Functions on Intervals have been answered, more than 2645 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Boundary

The set of points on the “edge” of a region

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Combination

An arrangement of elements of a set, in which order is not important

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Conditional probability

The probability of an event A given that an event B has already occurred

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Double-angle identity

An identity involving a trigonometric function of 2u

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Independent variable

Variable representing the domain value of a function (usually x).

• Inverse sine function

The function y = sin-1 x

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Nonsingular matrix

A square matrix with nonzero determinant

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Venn diagram

A visualization of the relationships among events within a sample space.

• Xmax

The x-value of the right side of the viewing window,.

×
Get Full Access to Introduction to Real Analysis

Get Full Access to Introduction to Real Analysis

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
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

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
Already have an Account? Is already in use