# Solutions for Chapter 5: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 5

Solutions for Chapter 5
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Chapter 5 includes 195 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 195 problems in chapter 5 have been answered, more than 35606 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Compound interest

Interest that becomes part of the investment

• Conditional probability

The probability of an event A given that an event B has already occurred

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Line of travel

The path along which an object travels

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Modulus

See Absolute value of a complex number.

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Natural exponential function

The function ƒ1x2 = ex.

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Remainder polynomial

See Division algorithm for polynomials.

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Sequence

See Finite sequence, Infinite sequence.

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

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