Question: Let b(t) be the Butterfly Curve: (a) Use a computer algebra system to plot b(t) and the speed s'(t) for 0 t 12.

Let b(t) be the “Butterfly Curve”:

x(t)= sint eco cost-2 cos 4t - sin (1/2)) (12 (1/2)) ( y(t) = cost ecost - 2 cos 4t - sin ost(ecosi

(a) Use a computer algebra system to plot b(t) and the speed s'(t) for 0 ≤ t ≤ 12π.
(b) Approximate the length b(t) for 0 ≤ t ≤ 10π.

x(t) = sint eco cost-2 cos 4t - sin (1/2)) (12 (12)) ( y(t) = cost ecost - 2 cos 4t - sin ost(ecosi

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