Consider $${f (x, y) = x^2 + 2 y^2}$$ subject to the constraint $${x^2 + y^2 = 1}$$.(adsbygoogle = window.adsbygoogle || []).push({});

What would be the minimun and the maximum values of the f.

Trouble is when I tried solving the problem lamda comes out to have two values 1 and 2 respectively. How do I proceed in order to get the answers?

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# Using lagrange mutilpliers when lamda has two values

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