The accompanying figure shows the graph of the butterflycurver = ecos 2 cos 4 + sin3

Chapter 10, Problem 56

(choose chapter or problem)

The accompanying figure shows the graph of the "butterfly curve"

                            \(r=e^{\cos \theta}-2 \cos 4 \theta+\sin ^{3} \frac{\theta}{4}\)

Determine a shortest parameter interval on which the complete butterfly can be generated, and then check your answer using a graphing utility.

                                             

Equation Transcription:

Text Transcription:

r=e^cos theta -2 cos 4theta +sin^3 theta/4

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