zad123

%zad 1.
hold on
x = -1:0.01:1;
for k = 1:100
    y = (x.^2+k.*x-3)./(x.^2+k^2+1).^(1/2);
    plot(x,y);
end
grid on
hold off

%zad 2.
vx = -pi/2:0.01:pi/2;
vy = vx;
[x, y] = meshgrid(vx, vy);
z = ((cos(x+y)).^2 + sin(x.*y))./(abs(x+y)+1);
mesh(x,y,z);
grid on

%zad 3.
function m = zad3(n)
    m = ones(n) * (-2);
    for y = 1:n
        for x = 1:n-y+1
            if(x ~= n-y+1)
                m(y, x) = 2;
            else
                m(y, x) = x;
            end
        end
    end
end