Problem 2. Support Vector Machines Consider the data shown in Fig. 2. There are two classes: the triangle class and the circle class. The data is clearly separable. Answer the following questions: (a) Compute the equations for the two hyperplanes h1 and h2. (b) Can you determine, from the data, the support vectors for h1 and h2 ? What are those support vectors? (c) Compute the margin for both hyperplanes shown in Fig. 2. Which one is a better separating hyperplane? Problem 3. K-means In class, we talked about K-means and how to cluster based on K-means. Given the following points: 1,3,0,1,4,10,12,3,20,30,11,25. Assume k=2, and that we randomly pick the initial means 1=2 and 2=4. Show the clusters obtained using K-means algorithm after 1 iteration, and show the new means for the next iteration. How many iterations does it take for the K-means to converge