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# Solutions for Chapter 15.5: Applications of Double Integrals ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 15.5: Applications of Double Integrals

Solutions for Chapter 15.5
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##### ISBN: 9780538497909

Since 33 problems in chapter 15.5: Applications of Double Integrals have been answered, more than 33458 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.5: Applications of Double Integrals includes 33 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Arcsecant function

See Inverse secant function.

• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Division

a b = aa 1 b b, b Z 0

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Multiplication principle of counting

A principle used to find the number of ways an event can occur.

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Nonsingular matrix

A square matrix with nonzero determinant

• Order of magnitude (of n)

log n.

• Positive angle

Angle generated by a counterclockwise rotation.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Simple harmonic motion

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

• Spiral of Archimedes

The graph of the polar curve.

• Statute mile

5280 feet.

• Supply curve

p = ƒ(x), where x represents production and p represents price

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