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
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
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,.

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