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# Solutions for Chapter 15.7: TRIPLE INTEGRALS

## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 15.7: TRIPLE INTEGRALS

Solutions for Chapter 15.7
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##### ISBN: 9780538497879

Chapter 15.7: TRIPLE INTEGRALS includes 55 full step-by-step solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. Since 55 problems in chapter 15.7: TRIPLE INTEGRALS have been answered, more than 21854 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Commutative properties

a + b = b + a ab = ba

• Continuous function

A function that is continuous on its entire domain

• Cotangent

The function y = cot x

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• kth term of a sequence

The kth expression in the sequence

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Natural logarithm

A logarithm with base e.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Terms of a sequence

The range elements of a sequence.

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Zero matrix

A matrix consisting entirely of zeros.

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