(a) Suppose you are minimizing a function f(x,y)=2x23xy+2 using second order methods. Using partial differentiation, calculate the gradient vector and the Hessian matrix for this function. Evaluate what the gradient and Hessian at point p=(1,0) would be. Given these, would p=(1,0) be a local or global minimum of f ? Explain why or why not. (6 marks) (b) Given the function f(x)=x43x3+3x2 and an x1 of 3 calculate the first three iterations of Newton's Method. All calculations must be rounded to four digits of precision