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Consider function f(x, y) = x 2 + y 2 − 2xy and the 3D graph...

Consider function f(x, y) = x 2 + y 2 − 2xy and the 3D graph z = x 2 + y 2 − 2xy. (a) Sketch the level sets f(x, y) = c for c = 0, 1, 2, 3 on the same axes. (b) Sketch the section of this graph for y = 0 (i.e., the slice in the xz-plane). (c) Sketch the 3D graph.

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