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Solutions for Chapter 8.5: Alternating Series

Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 8.5: Alternating Series

Solutions for Chapter 8.5
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Textbook: Calculus of A Single Variable
Edition: 7
Author: Ron Larson, Robert P. Hostetler, Bruce H. Edwards, David E. Heyd
ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Since 79 problems in chapter 8.5: Alternating Series have been answered, more than 25155 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 8.5: Alternating Series includes 79 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Augmented matrix

    A matrix that represents a system of equations.

  • Bias

    A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Combinations of n objects taken r at a time

    There are nCr = n! r!1n - r2! such combinations,

  • Common ratio

    See Geometric sequence.

  • Derivative of ƒ at x a

    ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

  • Difference of complex numbers

    (a + bi) - (c + di) = (a - c) + (b - d)i

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Horizontal shrink or stretch

    See Shrink, stretch.

  • Law of sines

    sin A a = sin B b = sin C c

  • Length of a vector

    See Magnitude of a vector.

  • Linear inequality in two variables x and y

    An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

  • Logistic regression

    A procedure for fitting a logistic curve to a set of data

  • Mode of a data set

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

  • Parametric curve

    The graph of parametric equations.

  • Pole

    See Polar coordinate system.

  • Rational function

    Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

  • Solution of a system in two variables

    An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

  • Symmetric property of equality

    If a = b, then b = a

  • Upper bound for real zeros

    A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

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