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# Solutions for Chapter 13: Multiple lntegrals

## Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 13: Multiple lntegrals

Solutions for Chapter 13
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##### ISBN: 9780131569898

Summary of Chapter 13: Multiple lntegrals

A multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z).

Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Chapter 13: Multiple lntegrals includes 59 full step-by-step solutions. Since 59 problems in chapter 13: Multiple lntegrals have been answered, more than 40425 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Common logarithm

A logarithm with base 10.

• Compounded monthly

See Compounded k times per year.

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Horizontal line

y = b.

• Inverse tangent function

The function y = tan-1 x

• Linear system

A system of linear equations

• Logarithmic regression

See Natural logarithmic regression

• Natural logarithm

A logarithm with base e.

• Pascalâ€™s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• 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

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Subtraction

a - b = a + (-b)

• Time plot

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

• Variation

See Power function.

• Vertical stretch or shrink

See Stretch, Shrink.

• xy-plane

The points x, y, 0 in Cartesian space.