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# 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 167352 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by 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
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Angle of depression

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

• Angle of elevation

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

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Constant term

See Polynomial function

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• 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.

• Secant

The function y = sec x.

• Sequence

See Finite sequence, Infinite sequence.

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Wrapping function

The function that associates points on the unit circle with points on the real number line

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

• Zero vector

The vector <0,0> or <0,0,0>.