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# Solutions for Chapter 15: MULTIPLE INTEGRALS ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 15: MULTIPLE INTEGRALS

Solutions for Chapter 15
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##### ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15: MULTIPLE INTEGRALS includes 54 full step-by-step solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Since 54 problems in chapter 15: MULTIPLE INTEGRALS have been answered, more than 22638 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Annuity

A sequence of equal periodic payments.

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Domain of a function

The set of all input values for a function

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Fibonacci numbers

The terms of the Fibonacci sequence.

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

An equation that can be written in the form.

• Identity properties

a + 0 = a, a ? 1 = a

• Index of summation

See Summation notation.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

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

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Row operations

See Elementary row operations.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Speed

The magnitude of the velocity vector, given by distance/time.

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Window dimensions

The restrictions on x and y that specify a viewing window. See Viewing window.

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