Question 9 (12 marks) Consider the function f[x,y] = 2xy subject to the constraint [x,y]=x2+y35=O a. Form the Lagrangian L{x,y,?l.] =f{x,y)}L(x,y)_ (1 mark) h. Calculate the derivatives I.Jr and Li . (2 marks} e. Solve the equations 1; =0 Ly =0 (xay)=0 for x , y and 3,. There are two (2) distinct solutions. Write them in your answers in the form given below, where each row corresponds to a distinct solution. (5 marks} d. Calculate fl:x, y] for each solution and add it to your table, then for each solution state whether this represents a maximum or minimum value of f (x, y) subject to the constraint. You do not need to use a second derivative test. (4 marks}