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# Solutions for Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES

## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES

Solutions for Chapter 11.9
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##### ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. Since 42 problems in chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES have been answered, more than 22627 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES includes 42 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Circle graph

A circular graphical display of categorical data

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Compounded continuously

Interest compounded using the formula A = Pert

• Constant term

See 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

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inverse cosine function

The function y = cos-1 x

• Inverse sine function

The function y = sin-1 x

• Irrational numbers

Real numbers that are not rational, p. 2.

• Piecewise-defined function

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

• Present value of an annuity T

he net amount of your money put into an annuity.

• 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

• Square matrix

A matrix whose number of rows equals the number of columns.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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