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Discuss the case of paraboloids

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Reference no: EM131613635

Question: 1. A function f(x, y, z) whose level sets are paraboloids.

2. Any surface which is the graph of a two-variable function f(x, y) can also be represented as the level surface of a three-variable function g(x, y, z).

3. Any surface which is the level surface of a three-variable function g(x, y, z) can also be represented as the graph of a two-variable function f(x, y).

Reference no: EM131613635

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