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Problem 51

If $a$ and $b$ are positive numbers, find the max…

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Problem 50

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=x-2 \tan ^{-1} x, \quad[0,4]$$

Answer

abs min: $f(1)=1-\frac{\pi}{2} \approx-0.571 \quad$ abs max: $f(4) \approx 1.348$



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