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# Solutions for Chapter 13.4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 13.4

Solutions for Chapter 13.4
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Since 26 problems in chapter 13.4 have been answered, more than 71853 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 13.4 includes 26 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Annuity

A sequence of equal periodic payments.

• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Cosecant

The function y = csc x

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Horizontal line

y = b.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Square matrix

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

• Sum of an infinite series

See Convergence of a series

• Terminal point

See Arrow.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

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