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In the function $$y=(k-x)e^x ,$$

What is the effect of $k$ on the turning point of the function? I can't see any clear pattern when I change the variable.

What are some real-life scenarios to which this relationship could be applied?

Thanks!

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    What makes you think that a completely abstract function that you present without motivation, would necessarily have any direct applications?2011-11-05
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    I'm just curious, it seems like one of those situations where it is applicable somehow!2011-11-06

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