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Solutions for Chapter 11.3: The Integral Test and Estimates of Sums

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

ISBN: 9781305270336

Solutions for Chapter 11.3: The Integral Test and Estimates of Sums

Solutions for Chapter 11.3
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Since 46 problems in chapter 11.3: The Integral Test and Estimates of Sums have been answered, more than 38287 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Chapter 11.3: The Integral Test and Estimates of Sums includes 46 full step-by-step solutions. 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.

Key Calculus Terms and definitions covered in this textbook
  • Anchor

    See Mathematical induction.

  • Complex fraction

    See Compound fraction.

  • Determinant

    A number that is associated with a square matrix

  • End behavior

    The behavior of a graph of a function as.

  • Exponential function

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

  • Frequency distribution

    See Frequency table.

  • Length of an arrow

    See Magnitude of an arrow.

  • Limit to growth

    See Logistic growth function.

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Minor axis

    The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

  • nth root of a complex number z

    A complex number v such that vn = z

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Pole

    See Polar coordinate system.

  • Pythagorean identities

    sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

  • Relation

    A set of ordered pairs of real numbers.

  • Second-degree equation in two variables

    Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

  • Sum of an infinite series

    See Convergence of a series

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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