this is matlab. I would greatly appreciate it if you did this completely for me and followed the instructions verbatim. The most crucial part is the ASSESSMENTS! please make sure you satisfy ALL of its questions!!! I cannot stress this enough, make sure ALL the ASSESSMENTS are satisfied!

the 4 assessments are below. please satisfy all of them

Plotting the butterfly curves O solutions submitted (max: 2) The butterfly curve (Fay, T. H. "The Butterfly Curve." Amer. Math. Monthly 96, pp. 442-443, 1989) is given by the following parametric equations: x = sin(1) [ecost 2cos(41) + sin(1/12)] y = cos(t) [ecost 2cos(41) + sin(1/12)] On one page make two plots of curves (one for 0 SI SA and the other for a 1527 ) to complete the butterfly curve as shown below: The Butterfly Curve 5 O to to 2 4 3 2 > 1 0 -1 -2 -3 -4 -3 -2 -1 0 1 2 3 4 X Design your figure with a title, labels, and legends as depicted in the reference figure above. Have 1000 equally spaced points for each range for t to draw the curves smoothly. Script C Reset 1 % Type in your code below. Use variables t, X, and y. 2. Assessment: Is the curve 1 correct? Is the curve 2 correct? Is there a single axes with all two plots present? Does your script include the MATLAB commands necessary to generate the figure as specified