Question 2

z = @(x,y) (x.^2 + y - 11).^2 + (x.^2 + y - 7).^2;

%% question (a)
r = -5:0.1:5;
[X,Y] = meshgrid(r,r);

contour(X,Y, z(X,Y), LevelStep=5)

%% question (b)
hold on
fimplicit(@(x,y) x + y)

%% question (c)
fmincon(@(x) z(x(1), x(2)), [1 1], [] ,[] , [1, 1], 0)

title("Question 2")
xlabel("x")
ylabel("y")