2. Consider the function z = √√4x²+4y²-4

a) (3 points) Find equations for the xy-trace, xz-trace, and yz-trace for the graph of

z=f(x, y).

b) (4 points) Find equations for the level curves f(x, y) = e for e--3, 0, 1, 4. Then

sketch and label these curves in the xy-plane (on the same set of axes).

c) (3 points) Sketch the graph of z=f(x, y), clearly labeling any intercepts.