The butterfly curve of Example 8 is enhanced by adding a term: r = e sin

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The butterfly curve of Example 8 is enhanced by adding a term:

r = esin θ - 2 cos 4θ + sin5 (θ/12), for 0 ≤ u ≤ 24π.

a. Graph the curve.

b. Explain why the new term produces the observed effect.

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Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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