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# Solutions for Chapter 11.3: Thomas' Calculus: Early Transcendentals 13th Edition

## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 11.3

Solutions for Chapter 11.3
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 68 problems in chapter 11.3 have been answered, more than 87247 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.3 includes 68 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• 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

• Central angle

An angle whose vertex is the center of a circle

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• Horizontal translation

A shift of a graph to the left or right.

• Identity

An equation that is always true throughout its domain.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Local extremum

A local maximum or a local minimum

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Random behavior

Behavior that is determined only by the laws of probability.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Remainder polynomial

See Division algorithm for polynomials.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• 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

• Sum of an infinite series

See Convergence of a series

• Venn diagram

A visualization of the relationships among events within a sample space.

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