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# Solutions for Chapter 5-4: Composition of Ordinates and Harmonic Analysis

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

ISBN: 9781559533911

Solutions for Chapter 5-4: Composition of Ordinates and Harmonic Analysis

Solutions for Chapter 5-4
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##### ISBN: 9781559533911

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5-4: Composition of Ordinates and Harmonic Analysis includes 13 full step-by-step solutions. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Since 13 problems in chapter 5-4: Composition of Ordinates and Harmonic Analysis have been answered, more than 21655 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1.

Key Calculus Terms and definitions covered in this textbook
• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Conditional probability

The probability of an event A given that an event B has already occurred

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Determinant

A number that is associated with a square matrix

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Equivalent vectors

Vectors with the same magnitude and direction.

• Horizontal shrink or stretch

See Shrink, stretch.

See Polynomial function in x.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Partial fraction decomposition

See Partial fractions.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

• xy-plane

The points x, y, 0 in Cartesian space.