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Results tagged with inequalities
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user 24006
for questions involving inequalities, upper and lower bounds.
-12
votes
Is there a good reason why $a^{2b} + b^{2a} \le 1$ when $a+b=1$?
This type of problem can be solved by the following approach:
Maximize the function a^(2b)+b^(2a) s.t. a+b=1.
We find that the function is maximized at a=b=1/2 and takes value 1.
