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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 6282 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
  • Boundary

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

  • Differentiable at x = a

    ƒ'(a) exists

  • Elements of a matrix

    See Matrix element.

  • Ellipsoid of revolution

    A surface generated by rotating an ellipse about its major axis

  • Equal complex numbers

    Complex numbers whose real parts are equal and whose imaginary parts are equal.

  • Exponential function

    A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

  • Higher-degree polynomial function

    A polynomial function whose degree is ? 3

  • Imaginary unit

    The complex number.

  • Irrational zeros

    Zeros of a function that are irrational numbers.

  • Main diagonal

    The diagonal from the top left to the bottom right of a square matrix

  • Mode of a data set

    The category or number that occurs most frequently in the set.

  • Order of an m x n matrix

    The order of an m x n matrix is m x n.

  • Parametric equations

    Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

  • 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.

  • Radius

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

  • Reference angle

    See Reference triangle

  • Resistant measure

    A statistical measure that does not change much in response to outliers.

  • Slant asymptote

    An end behavior asymptote that is a slant line

  • symmetric about the x-axis

    A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

  • Unit circle

    A circle with radius 1 centered at the origin.

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