# Solutions for Chapter 5.5: University Calculus Early Transcendentals 2nd Edition

## Full solutions for University Calculus Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 5.5

Solutions for Chapter 5.5
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##### ISBN: 9780321717399

Since 78 problems in chapter 5.5 have been answered, more than 31531 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.5 includes 78 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus Early Transcendentals , edition: 2nd. University Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

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

See Inverse cosecant function.

• Boundary

The set of points on the “edge” of a region

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Constant

A letter or symbol that stands for a specific number,

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Convenience sample

A sample that sacrifices randomness for convenience

• 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)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Directed angle

See Polar coordinates.

• Double-angle identity

An identity involving a trigonometric function of 2u

• Empty set

A set with no elements

• 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.

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• Polar form of a complex number

See Trigonometric form of a complex number.

• Quartic regression

A procedure for fitting a quartic function to a set of data.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Sample standard deviation

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

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

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