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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 47679 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.

• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Cotangent

The function y = cot x

• Demand curve

p = g(x), where x represents demand and p represents price

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Elimination method

A method of solving a system of linear equations

• Gaussian curve

See Normal curve.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Inverse relation (of the relation R)

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

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Polar form of a complex number

See Trigonometric form of a complex number.

• Secant line of ƒ

A line joining two points of the graph of ƒ.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Zero matrix

A matrix consisting entirely of zeros.

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