The butterfly curve from Prob. 2.22 can also be represented in polar coordinates as Generate values of r for values of from 0 to

The butterfly curve from Prob. 2.22 can also be represented in polar coordinates as

Generate values of r for values of θ from 0 to 8π withΔθ = π/32. Use the MATLAB function polar to generate the polar plot of the butterfly curve with a dashed red line. Employ the MATLAB Help to understand how to generate the plot.

In Problem 2.22The 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 (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.

T = esine - 2 cos(40) - sin 20 - T 24