The butterfly curve is given by the following parametric equations:

Generate values of x and y for values of t from 0 to 100 with Δt = 1/16. Construct plots of (a) x and y versus t and (b) y versus x. Use subplot to stack these plots vertically and make the plot in (b) square. Include titles and axis labels on both plots and a legend for (a). For (a), employ a dotted line for y in order to distinguish it from x.

Transcribed Image Text:

x = sin(t) (ecost cost 2 cos 4t - sin y = cos(t)ecost-2 cos 4t - sin³ 12 12