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# Solutions for Chapter 7.3: Functions of Several Variables

## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197

Solutions for Chapter 7.3: Functions of Several Variables

Solutions for Chapter 7.3
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##### ISBN: 9780618547197

This expansive textbook survival guide covers the following chapters and their solutions. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Chapter 7.3: Functions of Several Variables includes 50 full step-by-step solutions. Since 50 problems in chapter 7.3: Functions of Several Variables have been answered, more than 22889 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Angle of depression

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

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Cotangent

The function y = cot x

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Horizontal translation

A shift of a graph to the left or right.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Interval notation

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

• Law of sines

sin A a = sin B b = sin C c

• 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

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Row operations

See Elementary row operations.

• Secant

The function y = sec x.

• Statute mile

5280 feet.

• Transformation

A function that maps real numbers to real numbers.

• Unbounded interval

An interval that extends to -? or ? (or both).

• Vertex of a cone

See Right circular cone.

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