What do the level surfaces of fx y z x2 - y2 z2 look like


Question: 1. What do the level surfaces of f(x, y, z) = x2 - y2 + z2 look like? [Hint: Use cross-sections with y constant instead of cross-sections with z constant.]

2. Describe in words the level surfaces of g(x, y, z) = e-(x2 + y2 + z2).

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Mathematics: What do the level surfaces of fx y z x2 - y2 z2 look like
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