3. [V] Make a labelled sketch of the traces (slices) of the surface x 2 y 2 + 4z 2 = 0 in the planes x = 0, z = 0, and y = k for k = 0, 1, 2. Then make a labelled sketch of the surface. What do we mean by labelled? Label the slice you are sketching (e.g. x = 0 or y = k), label all axes (e.g. x or z), indicate values of intercepts and other significant points 1 such as vertices, add asymptotes as appropriate, and when graphing multiple curves on the same plot label them with their k-value. Transfer as much of this information as you can to the sketch of the surface in 3-dimensional space.