×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password

# Solutions for Chapter 12: MULTIPLE INTEGRALS

## Full solutions for Essential Calculus (Available Titles CengageNOW) | 1st Edition

ISBN: 9780495014423

Solutions for Chapter 12: MULTIPLE INTEGRALS

Solutions for Chapter 12
4 5 0 351 Reviews
17
1
##### ISBN: 9780495014423

Since 329 problems in chapter 12: MULTIPLE INTEGRALS have been answered, more than 16600 students have viewed full step-by-step solutions from this chapter. Chapter 12: MULTIPLE INTEGRALS includes 329 full step-by-step solutions. This textbook survival guide was created for the textbook: Essential Calculus (Available Titles CengageNOW), edition: 1. Essential Calculus (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780495014423. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Complex conjugates

Complex numbers a + bi and a - bi

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Imaginary unit

The complex number.

• Index of summation

See Summation notation.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Normal curve

The graph of ƒ(x) = e-x2/2

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Permutation

An arrangement of elements of a set, in which order is important.

• 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.

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Time plot

A line graph in which time is measured on the horizontal axis.

• Trichotomy property

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

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• x-axis

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

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
×
Reset your password