Analyzing Rose Curves Consider the polar equation for n, an odd integer. (a) Prove that

Chapter 6, Problem 6.1.1.395

(choose chapter or problem)

Analyzing Rose Curves Consider the polar equation \(r=a \sin n \theta\) for n, an odd integer.

(a) Prove that the graph is symmetric about the x-axis.

(b) Prove that the graph is not symmetric about the y-axis.

(c) Prove that the graph is not symmetric about the origin.

(d) Prove that the maximum r-value is |a|.

(e) Analyze the graph of this curve.

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