please solve the following:

Support vector machines have been extensively used in machine learning and data mining applications such as classification and regression, text categorization as well as medical applications, for example breast cancer diagnosis. Let two classes of patterns be given, i. e., samples of observable characteristics which are represented by points xi in Rn. The patterns are given in the form (zi,Vi),-1, ,m. with Vi E {1,-1). Vi = 1 means that xi belongs to class 1; otherwise i belongs to class 2. In the simplest case we are looking for a separating hyperplane described by(w, x1+ = 0 with (w , x:) + 1 if yi-1 and (w, x.) +