 4.5.A.1: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.2: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.3: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.4: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.5: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.6: In Exercises 16, compute and whereThen determine the distance fromt...
 4.5.A.7: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.8: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.9: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.10: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.11: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.12: In Exercises 712, show that c is not in the Mandelbrotset by findin...
 4.5.A.13: In Exercises 1318, determine whether or not c is inthe Mandelbrot s...
 4.5.A.14: In Exercises 1318, determine whether or not c is inthe Mandelbrot set.
 4.5.A.15: In Exercises 1318, determine whether or not c is inthe Mandelbrot set.
 4.5.A.16: In Exercises 1318, determine whether or not c is inthe Mandelbrot s...
 4.5.A.17: In Exercises 1318, determine whether or not c is inthe Mandelbrot set.
 4.5.A.18: In Exercises 1318, determine whether or not c is inthe Mandelbrot s...
 4.5.A.63: Find the orbit of 1 for
 4.5.A.64: Find the orbit of 0 for using the following values of c. Statewheth...
Solutions for Chapter 4.5.A: Excursion: The Mandelbrot Set
Full solutions for Precalculus  1st Edition
ISBN: 9780030416477
Solutions for Chapter 4.5.A: Excursion: The Mandelbrot Set
Get Full SolutionsSince 20 problems in chapter 4.5.A: Excursion: The Mandelbrot Set have been answered, more than 26031 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780030416477. Chapter 4.5.A: Excursion: The Mandelbrot Set includes 20 full stepbystep solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions.

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Complements or complementary angles
Two angles of positive measure whose sum is 90°

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Conversion factor
A ratio equal to 1, used for unit conversion

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

Doubleangle identity
An identity involving a trigonometric function of 2u

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Inverse cotangent function
The function y = cot1 x

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

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

Positive linear correlation
See Linear correlation.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Speed
The magnitude of the velocity vector, given by distance/time.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Vertex of a cone
See Right circular cone.

xzplane
The points x, 0, z in Cartesian space.