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# Solutions for Chapter 11.8: Power Series

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 11.8: Power Series

Solutions for Chapter 11.8
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##### ISBN: 9781305270336

This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 42 problems in chapter 11.8: Power Series have been answered, more than 96030 students have viewed full step-by-step solutions from this chapter. Chapter 11.8: Power Series includes 42 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Empty set

A set with no elements

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Inverse variation

See Power function.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Solve a triangle

To find one or more unknown sides or angles of a triangle