Its a question about volume increase (in units cm^3) and height increase (cm) when pouring juice into a cup. Its stated that the volume of the juice in the cup increases at a constant rate, so I know the volume derivatives are zero. But the shape of the cup is inconsistent and there is alot of variance in it, so the height increase is not constant. I know the first derivative of the height increase is positive... my professor hinted that the second derivative of height increase would be negative... how is that so?(adsbygoogle = window.adsbygoogle || []).push({});

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# Second derivatives when pouring juice into a cup

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