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(Python programming) The butterfly curve is given by the following parametric equations x sin(t) ecos)-2 cos(4t)- sin5 im(o( i12) y = cos(t) (ecos(t)-2 cos(4t)-sins 12

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(Python programming) The butterfly curve is given by the following parametric equations x sin(t) ecos)-2 cos(4t)- sin5 im(o( i12) y = cos(t) (ecos(t)-2 cos(4t)-sins 12 Generate values of x and y for values of t from 0 to 100 with t-1/16. Construct the plots of (a) x and y versus t and (b) x versus y. Use subplot to stack the two 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

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