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# Solutions for Chapter 9.3: INFINITE SERIES ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 9.3: INFINITE SERIES

Solutions for Chapter 9.3
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##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 42 problems in chapter 9.3: INFINITE SERIES have been answered, more than 38262 students have viewed full step-by-step solutions from this chapter. Chapter 9.3: INFINITE SERIES includes 42 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

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

• Base

See Exponential function, Logarithmic function, nth power of a.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Continuous function

A function that is continuous on its entire domain

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• 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

• Equivalent vectors

Vectors with the same magnitude and direction.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Inverse secant function

The function y = sec-1 x

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Linear system

A system of linear equations

• Parameter interval

See Parametric equations.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Placebo

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

The graph in three dimensions of a seconddegree equation in three variables.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Transverse axis

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

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

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