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# Solutions for Chapter 5.4: Precalculus 5th Edition ## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349 Solutions for Chapter 5.4

Solutions for Chapter 5.4
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##### ISBN: 9780321837349

Precalculus was written by and is associated to the ISBN: 9780321837349. Since 7 problems in chapter 5.4 have been answered, more than 10522 students have viewed full step-by-step solutions from this chapter. Chapter 5.4 includes 7 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Aphelion

The farthest point from the Sun in a planet’s orbit

• Axis of symmetry

See Line of symmetry.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Divergence

A sequence or series diverges if it does not converge

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Identity function

The function ƒ(x) = x.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• 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.

• Phase shift

See Sinusoid.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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