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# Solutions for Chapter 11.5: Alternating Series ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 11.5: Alternating Series

Solutions for Chapter 11.5
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##### ISBN: 9780538497909

Chapter 11.5: Alternating Series includes 36 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 16420 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Binomial theorem

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

• Convergence of a sequence

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

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Exponent

See nth power of a.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Leaf

The final digit of a number in a stemplot.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Linear regression equation

Equation of a linear regression line

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Measure of center

A measure of the typical, middle, or average value for a data set

• Modulus

See Absolute value of a complex number.

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Paraboloid of revolution

A surface generated by rotating a parabola about its line of symmetry.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

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