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Old 05-29-2002, 03:02 PM
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JPL JPL is offline
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Join Date: Jun 2001
Location: Philadelphia, PA
Posts: 249
Smile Concavity and inflection Points

Mccann:

Lets consider the the Second Derivative Donut Test

At what point during the donut eating/ socializing are you having the most fun? In other words where is the eating pleasure / socaial stimulus the greatest? This point is known as the Donut Inflection Point. It is after this point the function shifts.

If f '(x) is increasing, then the function is concave up and if f'(x) is decreasing then the function is concave down. To determine whether the derivative is increasing, we take the second derivative.

So the test proves its advisable that the donuts should be Krispy Kremes and not Dunkin; due to the greater eating pleasure. Thus prolonging the inflection point, and forcing gatherers to stay, eat, and socialize longer before the inflection point, at which, the day begins to wind down.

l8r,
James
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