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September 07, 2006

Sleep Deprivation Function

I think I found a new equation. It's the sleep deprivation function.

(a).The function is concave up meaning that sleep deprivation is increasing. Because the graph is concave up, the second derivative is positive and thus the rate that one is continually deprived of sleep is also increasing. Given this information, what is the limit of a student's body, mind and soul as h approaches a calculus exam? Also, is the equation differentiable everwhere, meaning that no matter what a student does he/she is continually being deprived of sleep at an increasing rate?

(b). If a student were to eat a cold yam that had been removed from an oven held at a constant temperature, what impact would this have on the sleep deprivation function in (a)? Approximately how long until the rate of sleep deprivation levels off and the student decides to assassinate the teacher with the yam.

Be sure to SHOW YOUR WORK! Demonstrating that you have more knowledge of your graphing calculator than the entire math department combined WILL NOT give you one iota of credit on this problem. Using rules that allow easier computation of the above functions (ie. chain rule, power rule) will automatically result in a grade of zero. If you don't like this policy, take Calculus I over again like everyone else in your class.

* I didn't write this. An old friend from Baylor sent it to me back in 1997 while he was taking Calculus. I knew it would come in handy someday.

Posted by FutureFoodTVStar at September 7, 2006 10:13 PM

Comments

Posted by: OB at September 8, 2006 12:56 AM

Posted by: Kami at September 8, 2006 09:59 AM

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