2. Consider the following two functions: = f(x, y) = (x – 2y), = g(x, y) = (x – 2y)². = Z (a) Give the level curves for both f and g consisting of the (z = 0,1,2, 3)-values. Label each level curve with the respective z value. (b) Let S be the graph of f and let T be the graph of g. Turn your two level curve diagrams in part (a) into separate sketches of S and T in three-dimensional coordinate system by plotting the level curves at the appropriate altitude. (c) Both S and T are examples of one of our familiar named surfaces. Use their defining equations and your sketches in part (b) to identify which.

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A: Please see the below picture for detailed solution.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.