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# Solutions for Chapter 14: Multiple Integration

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 14: Multiple Integration

Solutions for Chapter 14
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##### ISBN: 9780618502981

This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Chapter 14: Multiple Integration includes 79 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 79 problems in chapter 14: Multiple Integration have been answered, more than 76554 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Components of a vector

See Component form of a vector.

• Double-angle identity

An identity involving a trigonometric function of 2u

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• First quartile

See Quartile.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Initial side of an angle

See Angle.

• kth term of a sequence

The kth expression in the sequence

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Multiplicative identity for matrices

See Identity matrix

• Objective function

See Linear programming problem.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Right angle

A 90° angle.

• Speed

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

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Vertices of a hyperbola

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

• Zero vector

The vector <0,0> or <0,0,0>.

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