# Solutions for Chapter 13: Functions of Several Variables

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 13: Functions of Several Variables

Solutions for Chapter 13
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 13: Functions of Several Variables includes 81 full step-by-step solutions. Since 81 problems in chapter 13: Functions of Several Variables have been answered, more than 18419 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by Sieva Kozinsky and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Compounded monthly

See Compounded k times per year.

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• 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

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Minute

Angle measure equal to 1/60 of a degree.

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Real part of a complex number

See Complex number.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Sine

The function y = sin x.

• Terminal point

See Arrow.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Vertical translation

A shift of a graph up or down.

• z-axis

Usually the third dimension in Cartesian space.

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