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Solutions for Chapter 11.5: Alternating Series

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 11.5: Alternating Series

Solutions for Chapter 11.5
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.5: Alternating Series includes 36 full step-by-step solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 38139 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Common difference

    See Arithmetic sequence.

  • Constant term

    See Polynomial function

  • Extraneous solution

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

  • Focus, foci

    See Ellipse, Hyperbola, Parabola.

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Inverse cotangent function

    The function y = cot-1 x

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Negative angle

    Angle generated by clockwise rotation.

  • Octants

    The eight regions of space determined by the coordinate planes.

  • Partial fractions

    The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

  • Radian

    The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

  • 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.

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • RRAM

    A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Sum identity

    An identity involving a trigonometric function of u + v

  • Unit circle

    A circle with radius 1 centered at the origin.

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

  • Vertices of an ellipse

    The points where the ellipse intersects its focal axis.

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