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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 11.8: POWER SERIES

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

ISBN: 9780538497879

Solutions for Chapter 11.8: POWER SERIES

Solutions for Chapter 11.8
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##### ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Since 42 problems in chapter 11.8: POWER SERIES have been answered, more than 21919 students have viewed full step-by-step solutions from this chapter. Chapter 11.8: POWER SERIES includes 42 full step-by-step solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Binomial

A polynomial with exactly two terms

• Binomial coefficients

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

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Commutative properties

a + b = b + a ab = ba

• End behavior

The behavior of a graph of a function as.

• Geometric series

A series whose terms form a geometric sequence.

• Inductive step

See Mathematical induction.

• Leaf

The final digit of a number in a stemplot.

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Open interval

An interval that does not include its endpoints.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Standard form of a complex number

a + bi, where a and b are real numbers

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Sum of an infinite series

See Convergence of a series

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Xmin

The x-value of the left side of the viewing window,.

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