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# Solutions for Chapter 5-2: Composite Argument and Linear Combination Properties ## Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition

ISBN: 9781559533911 Solutions for Chapter 5-2: Composite Argument and Linear Combination Properties

Solutions for Chapter 5-2
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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. Chapter 5-2: Composite Argument and Linear Combination Properties includes 33 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Since 33 problems in chapter 5-2: Composite Argument and Linear Combination Properties have been answered, more than 51067 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Composition of functions

(f ? g) (x) = f (g(x))

• Compound interest

Interest that becomes part of the investment

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Directed line segment

See Arrow.

• Equilibrium price

See Equilibrium point.

• Frequency

Reciprocal of the period of a sinusoid.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Line of travel

The path along which an object travels

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Orthogonal vectors

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

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Principle of mathematical induction

A principle related to mathematical induction.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Row operations

See Elementary row operations.