Questiоn 8 (20 pоints) Pаrts (а) аnd (b) are distinct frоm each other. (a) Find all critical points of the function f(x,y)=(x^3+y^3+3x^2-3y^2-8) and classify them as local maximum, local minimum or saddle point(s). (b) Use Lagrange multipliers to find the maximum value of the function (h(x,y)=x^2+2y^2-2x) on the circle (x^2+y^2=4). Your answer should include the minimum and maximum value(s) and the point(s) at which they are obtained.