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# Solutions for Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS

Solutions for Chapter 9
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##### ISBN: 9780470484753

Since 35 problems in chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS have been answered, more than 18650 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS includes 35 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average velocity

The change in position divided by the change in time.

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Identity properties

a + 0 = a, a ? 1 = a

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Normal curve

The graph of ƒ(x) = e-x2/2

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Permutations of n objects taken r at a time

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

• 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.

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Standard deviation

A measure of how a data set is spread

• Subtraction

a - b = a + (-b)

• Unit vector in the direction of a vector

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

• Variation

See Power function.

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