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# Solutions for Chapter 15.5: APPLICATIONS OF DOUBLE INTEGRALS ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 15.5: APPLICATIONS OF DOUBLE INTEGRALS

Solutions for Chapter 15.5
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##### ISBN: 9780538497879

Since 33 problems in chapter 15.5: APPLICATIONS OF DOUBLE INTEGRALS have been answered, more than 21832 students have viewed full step-by-step solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. Chapter 15.5: APPLICATIONS OF DOUBLE INTEGRALS includes 33 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

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

• Augmented matrix

A matrix that represents a system of equations.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Cosine

The function y = cos x

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Finite series

Sum of a finite number of terms.

• Future value of an annuity

The net amount of money returned from an annuity.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Natural logarithm

A logarithm with base e.

• Pie chart

See Circle graph.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Position vector of the point (a, b)

The vector <a,b>.

• Proportional

See Power function

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Statistic

A number that measures a quantitative variable for a sample from a population.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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