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Figure 11-7b shows the rectangular pre-image It also shows the images of [A][M] and

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster ISBN: 9781559533911 468

Solution for problem R.5 Chapter 11-7

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem R.5

Figure 11-7b shows the rectangular pre-image It also shows the images of [A][M] and [B][M], where [A] is the transformation given in Review R4, part a, and [B] rotate and dilates the same as [A] but translates in the opposite direction. a. Write a matrix for transformation [B]. b. The two rectangles in Figure 11-7b form the first iteration for a more complicated geometric figure. In the second iteration, [A] and [B] are applied to both images in the first iteration. Perform these transformations and plot the resulting four images on graph paper. c. The figure that results from applying [A] and [B] iteratively infinitely many times can be plotted approximately using Barnsleys method. The result is shown in Figure 11-7c. Confirm on your grapher that the attractor in Figure 11-7c is correct. Write a paragraph describing the procedure used in Barnsleys method. Figure 11-7c d. On a copy of Figure 11-7c, circle two parts of the figure of different sizes, each of which is similar to the entire figure. e. On the copy of Figure 11-7c, plot the fixed point you found for transformation [A] in Review R4, part d. How does this fixed point seem to correspond to the fractal image? f. For the pre-image and the first three iterations, make a table showing the iteration number, the number of rectangles, the perimeter of each rectangle, and the total perimeter of the figure. From the pattern in the table, find the total perimeter of the 50th iteration. If the iterations were done infinitely many times, the result would be the strange attractor in Figure 11-7c. What is the total perimeter of the strange attractor? R

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Week 6 – Behavioral Neuroscience Tuesday Feb. 23 Question 1: What slice of the brain is this Answer: Coronal Question 2: Which direction is arrow 1 1 Answer: dorsal Question 4: What is the black space in A2row 2 Answer: Ventricles Question5: __fibers are inputs and ___ fibers are outputs Afferent/efferent Efferent/afferent Answer: A. Afferent/Effere

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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

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Figure 11-7b shows the rectangular pre-image It also shows the images of [A][M] and