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Solutions for Chapter 5-5: The Sum and Product Properties

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

ISBN: 9781559533911

Solutions for Chapter 5-5: The Sum and Product Properties

Solutions for Chapter 5-5
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ISBN: 9781559533911

This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Chapter 5-5: The Sum and Product Properties includes 33 full step-by-step solutions. 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. Since 33 problems in chapter 5-5: The Sum and Product Properties have been answered, more than 55305 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• 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

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Combination

An arrangement of elements of a set, in which order is not important

• Course

See Bearing.

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Imaginary axis

See Complex plane.

• Index of summation

See Summation notation.

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Inverse sine function

The function y = sin-1 x

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Parametric curve

The graph of parametric equations.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Random variable

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

• Square matrix

A matrix whose number of rows equals the number of columns.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Venn diagram

A visualization of the relationships among events within a sample space.