So I ran into this on my multivariate calculus final this morning, I don't think anyone did it but it has been stuck in my head and I have run out of thoughts.(adsbygoogle = window.adsbygoogle || []).push({});

Let a1, a2, …, an be n positive numbers.

Find the maximum of [tex]\sum^{n}_{i=1}a_{i}x^_{i}[/tex]subject to the constraint [tex]\sum^{n}_{i=1}x^{2}_{i} = 1[/tex]

Alright I've never used Latex but I believe that worked. Not quite sure, where to go looks like power sums of power 1,2.

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# Extra Credit question

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