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# Solutions for Chapter 9.3: The Integral Test and p-Series

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 9.3: The Integral Test and p-Series

Solutions for Chapter 9.3
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##### ISBN: 9780618502981

Calculus was written by and is associated to the ISBN: 9780618502981. Chapter 9.3: The Integral Test and p-Series includes 90 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 90 problems in chapter 9.3: The Integral Test and p-Series have been answered, more than 76630 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Aphelion

The farthest point from the Sun in a planet’s orbit

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Frequency distribution

See Frequency table.

• Index

• Inductive step

See Mathematical induction.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

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

• Second

Angle measure equal to 1/60 of a minute.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Transformation

A function that maps real numbers to real numbers.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Vertex of a parabola

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

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