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# Solutions for Chapter 8.3: The Integral Test and Series

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

ISBN: 9780618149162

Solutions for Chapter 8.3: The Integral Test and Series

Solutions for Chapter 8.3
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##### ISBN: 9780618149162

Since 64 problems in chapter 8.3: The Integral Test and Series have been answered, more than 24175 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: Calculus of A Single Variable, edition: 7. Chapter 8.3: The Integral Test and Series includes 64 full step-by-step solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162.

Key Calculus Terms and definitions covered in this textbook
• Arcsecant function

See Inverse secant function.

• Closed interval

An interval that includes its endpoints

• Cone

See Right circular cone.

• Continuous function

A function that is continuous on its entire domain

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Empty set

A set with no elements

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Horizontal line

y = b.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Position vector of the point (a, b)

The vector <a,b>.

• Real axis

See Complex plane.

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

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• xz-plane

The points x, 0, z in Cartesian space.

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