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# Solutions for Chapter 11.2: Series ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 11.2: Series

Solutions for Chapter 11.2
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##### ISBN: 9780538497909

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Chapter 11.2: Series includes 90 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Since 90 problems in chapter 11.2: Series have been answered, more than 31161 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Compounded continuously

Interest compounded using the formula A = Pert

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Inductive step

See Mathematical induction.

• Inequality

A statement that compares two quantities using an inequality symbol

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

An angle in standard position whose terminal side lies on an axis.

• Right triangle

A triangle with a 90° angle.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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