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Consider the temperature fonction T : R 2 R defined by: T ( x , y ) = x 2 y 2 Without analyzing the

Consider the temperature fonctionT:R2R defined by:

T(x,y)=x2y2

Without analyzing the critical points, does the function T possess a global minimum and global maximum? Justify.

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I'm pretty sure the answer is no, but I don't know how to justify this. Is it by calculating the limit?

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