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# Solutions for Chapter 16.6: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 16.6

Solutions for Chapter 16.6
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 16.6 have been answered, more than 81902 students have viewed full step-by-step solutions from this chapter. Chapter 16.6 includes 48 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

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

• Algebraic expression

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

• Continuous function

A function that is continuous on its entire domain

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Order of magnitude (of n)

log n.

• Position vector of the point (a, b)

The vector <a,b>.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Rational zeros

Zeros of a function that are rational numbers.

• Real part of a complex number

See Complex number.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Root of a number

See Principal nth root.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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