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# Solutions for Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES

Solutions for Chapter 13.1
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##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES includes 78 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 78 problems in chapter 13.1: FUNCTIONS OF TWO OR MORE VARIABLES have been answered, more than 39782 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• 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

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Infinite limit

A special case of a limit that does not exist.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Measure of an angle

The number of degrees or radians in an angle

• Nonsingular matrix

A square matrix with nonzero determinant

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Remainder theorem

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

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• x-axis

Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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