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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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##### 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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