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A mountain are described with the following function f(x,y) = 3 – 3x2 + 3y2 -...

A mountain are described with the following function f(x,y) = 3 – 3x2 + 3y2 - x4 – y4 and are defined:

Df = {(x,y) ∈ R2 | 3 – 3x2 + 3y2 - x4 – y4 ≥ 0}

Calculate (x,y,z)-coordinates where there is a flat surface. How can you se immediately that (0,0,3) are one of those points.

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