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# Solutions for Chapter 8: Infinite Series

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

ISBN: 9780618149162

Solutions for Chapter 8: Infinite Series

Solutions for Chapter 8
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##### ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8: Infinite Series includes 102 full step-by-step solutions. Since 102 problems in chapter 8: Infinite Series have been answered, more than 26722 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7.

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

The argument of a + bi is the direction angle of the vector {a,b}.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Cycloid

The graph of the parametric equations

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Nonsingular matrix

A square matrix with nonzero determinant

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Permutation

An arrangement of elements of a set, in which order is important.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Slope

Ratio change in y/change in x

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Transformation

A function that maps real numbers to real numbers.

• Union of two sets A and B

The set of all elements that belong to A or B or both.

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