×
×

# Solutions for Chapter 13.1: Introduction to Functions of Several Variables ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 13.1: Introduction to Functions of Several Variables

Solutions for Chapter 13.1
4 5 0 428 Reviews
21
3
##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Chapter 13.1: Introduction to Functions of Several Variables includes 91 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 91 problems in chapter 13.1: Introduction to Functions of Several Variables have been answered, more than 43703 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Bounded interval

An interval that has finite length (does not extend to ? or -?)

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Dependent variable

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

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• 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.

• Half-life

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

• Imaginary part of a complex number

See Complex number.

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Matrix, m x n

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

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• nth root of a complex number z

A complex number v such that vn = z

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Rectangular coordinate system

See Cartesian coordinate system.

• Right angle

A 90° angle.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

×