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# Solutions for Chapter 4-3: Identities and Algebraic Transformation of Expressions

## Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911

Solutions for Chapter 4-3: Identities and Algebraic Transformation of Expressions

Solutions for Chapter 4-3
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##### ISBN: 9781559533911

Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since 55 problems in chapter 4-3: Identities and Algebraic Transformation of Expressions have been answered, more than 18869 students have viewed full step-by-step solutions from this chapter. Chapter 4-3: Identities and Algebraic Transformation of Expressions includes 55 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

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

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

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Demand curve

p = g(x), where x represents demand and p represents price

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Exponential form

An equation written with exponents instead of logarithms.

• Exponential regression

A procedure for fitting an exponential function to a set of data.

• Finite series

Sum of a finite number of terms.

• Horizontal line

y = b.

• Initial side of an angle

See Angle.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Limit to growth

See Logistic growth function.

• 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

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Natural logarithmic regression

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

• Negative angle

Angle generated by clockwise rotation.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

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