1) Suppose U(g;,y)=4x7-I-3y2+x-5y'5 a) Calculate the partial derivatives of U with respect to x and y. b) Evaluate these partial derivatives at x=1 and y=2. 2) Suppose that f(x)=x*(l-x) a) Find the maximizing value of x and what f(x) equals at that x. b) How can you be sure this is a maximum and not a minimum