- 11-6.1: Dimension Definition Applied to a Square 488 2003 Key Curriculum Pr...
- 11-6.2: Dimension of Sierpi skis Triangle Problem: Figure 11-6f shows the p...
- 11-6.3: Dimension of Sierpi skis Square Problem: Figure 11-6g shows the pre...
- 11-6.4: Conclusions Problem: At the beginning of this section you read that...
- 11-6.5: Journal Problem: Write an entry in your journal telling the most si...
Solutions for Chapter 11-6: Fractal Dimensions
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
The central point in a circle, ellipse, hyperbola, or sphere
Constant of variation
See Power function.
Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists
See Polar coordinates.
Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined
A variable that affects a response variable.
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.
Horizontal Line Test
A test for determining whether the inverse of a relation is a function.
A shift of a graph to the left or right.
Inverse cotangent function
The function y = cot-1 x
Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.
Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
Linear regression line
The line for which the sum of the squares of the residuals is the smallest possible
The eight regions of space determined by the coordinate planes.
Positive linear correlation
See Linear correlation.
A transformation that leaves the basic shape of a graph unchanged.
Root of an equation
Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis