- 11-1.1: Find the perimeter and area of the pre-image square. Find the total...
- 11-1.2: What pattern do you notice that relates the total perimeter to the ...
- 11-1.3: Using the patterns you observed in 2, find the total perimeter and ...
- 11-1.4: Calculate the total perimeter and the total area of the 20th iterat...
- 11-1.5: If the iterations could be carried on infinitely many times, the im...
Solutions for Chapter 11-1: Introduction to Iterated Transformations
Full solutions for Precalculus with Trigonometry: Concepts and Applications | 1st Edition
Addition principle of probability.
P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.
Events A and B such that P(A and B) = P(A)P(B)
A polynomial with exactly one term.
One-to-one rule of logarithms
x = y if and only if logb x = logb y.
Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.
Permutations of n objects taken r at a time
There are nPr = n!1n - r2! such permutations
Two lines that are at right angles to each other
The process of fitting a polynomial of degree n to (n + 1) points.
An angle in standard position whose terminal side lies on an axis.
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
A set of ordered pairs of real numbers.
Zeros of multiplicity ? 2 (see Multiplicity).
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator
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
a - b = a + (-b)
Sum of functions
(ƒ + g)(x) = ƒ(x) + g(x)
Symmetric about the origin
A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is
Union of two sets A and B
The set of all elements that belong to A or B or both.
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.