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# Solutions for Chapter 12.5: FUNCTIONS OF THREE VARIABLES

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 12.5: FUNCTIONS OF THREE VARIABLES

Solutions for Chapter 12.5
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##### ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 54 problems in chapter 12.5: FUNCTIONS OF THREE VARIABLES have been answered, more than 23457 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: FUNCTIONS OF THREE VARIABLES includes 54 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

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

• Aphelion

The farthest point from the Sun in a planet’s orbit

• Cosine

The function y = cos x

• Domain of a function

The set of all input values for a function

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Frequency distribution

See Frequency table.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Inverse cosine function

The function y = cos-1 x

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Remainder polynomial

See Division algorithm for polynomials.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Response variable

A variable that is affected by an explanatory variable.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Xscl

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

• y-intercept

A point that lies on both the graph and the y-axis.

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