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# Solutions for Chapter 4.8: Precalculus 5th Edition

## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349

Solutions for Chapter 4.8

Solutions for Chapter 4.8
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##### ISBN: 9780321837349

Precalculus was written by and is associated to the ISBN: 9780321837349. Since 15 problems in chapter 4.8 have been answered, more than 10422 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.8 includes 15 full step-by-step solutions.

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

See Inverse cotangent function.

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

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

• Axis of symmetry

See Line of symmetry.

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Explanatory variable

A variable that affects a response variable.

• Horizontal component

See Component form of a vector.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Length of an arrow

See Magnitude of an arrow.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Linear system

A system of linear equations

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• 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)

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Real number line

A horizontal line that represents the set of real numbers.

• Real zeros

Zeros of a function that are real numbers.

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

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