2. Sketch the level curves of the function corresponding to the given values of k (the z-values): (a) f(z, y) = r² - y, k = -1,0,1 (b) g(z, v) = V9 - z? – y², k = 0,1,2, 3. (c) h(z, y) =z+ y, k= -1,0, 1.

Consider the function z = 4x²+4y²-4 z = f(x, y). Find equations for the xy-trace, xz-trace, and yz-trace for the graph of Find equations for the level curves f(x, y) = c for c= -3, 0, 1, 4. Then sketch and luoel these curves in the xy-plane (on the same set of axes).