# Solutions for Chapter 9.3: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 9.3

Solutions for Chapter 9.3
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.3 includes 16 full step-by-step solutions. Since 16 problems in chapter 9.3 have been answered, more than 35138 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. 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
• Additive inverse of a real number

The opposite of b , or -b

• Arrow

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

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Circle graph

A circular graphical display of categorical data

• Dependent variable

Variable representing the range value of a function (usually y)

• Direct variation

See Power function.

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Elimination method

A method of solving a system of linear equations

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Initial point

See Arrow.

• Interval notation

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

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• 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 simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Vertical component

See Component form of a vector.

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