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Chapter 7: Problem 68
What are parallel vectors?
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Group members should prepare and present a seminar on mathematical chaos. Include one or more of the following topics in your presentation: fractal images, the role of complex numbers in generating fractal images, algorithms, iterations, iteration number, and fractals in nature. Be sure to include visual images that will intrigue your audience.
Test for symmetry and then graph each polar equation. $$r=\sin \theta \cos ^{2} \theta$$
Use a graphing utility to graph \(r=1+2 \sin n \theta\) for \(n=1,2,3,4,5,\) and \(6 .\) Use a separate viewing screen for each of the six graphs. What is the pattern for the number of large and small petals that occur corresponding to each value of \(n ?\) How are the large and small petals related when \(n\) is odd and when \(n\) is even?
Use a graphing utility to graph the polar equation. $$r=4+2 \cos \theta$$
Use a graphing utility to graph the polar equation. $$r=\cos \frac{3}{2} \theta$$
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