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# Solutions for Chapter 13.1: Introduction to Functions of Several Variables ## Full solutions for Calculus | 9th Edition

ISBN: 9780547167022 Solutions for Chapter 13.1: Introduction to Functions of Several Variables

Solutions for Chapter 13.1
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##### ISBN: 9780547167022

Calculus was written by and is associated to the ISBN: 9780547167022. Chapter 13.1: Introduction to Functions of Several Variables includes 92 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions. Since 92 problems in chapter 13.1: Introduction to Functions of Several Variables have been answered, more than 61549 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

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

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Census

An observational study that gathers data from an entire population

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Cubic

A degree 3 polynomial function

• Data

Facts collected for statistical purposes (singular form is datum)

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Finite series

Sum of a finite number of terms.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Index

• Initial value of a function

ƒ 0.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Irrational numbers

Real numbers that are not rational, p. 2.

• Nappe

See Right circular cone.

• Position vector of the point (a, b)

The vector <a,b>.

• 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.

• Quotient polynomial

See Division algorithm for polynomials.

• Right angle

A 90° angle.

• Sum of a finite arithmetic series

Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

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