math woes

In fatal familial insomnia people eventually die because they just can't sleep. I seem to be attempting to follow that trend. I want to get to bed by 11 tonight though... that would be so nice.

STUPID FREAKING MATH PROJECT. We needed a function for a rollercoaster so I picked a cosine function dampened by an exponential decay function, in the form of (Acos(Bx)+C)e^bx. So I figured out that A or my amplitude had to be fifty because my rollercoaster needs to be 100 feet at x=0, and B had to be 7pi/500 because I want 3.5 hills over my five hundred meter-long plot of land, C had to be 50 so I could shift my height up to 100 and my bottom to y=0, and b had to be ln(.5)x/500 because over the 500 meters I needed my height to maintain at least half of the original height by the end. So all of that was just dandy. And the track couldn't be steeper than 70 degrees, so my first derivative had to be greater than or equal to tangent of -7pi/180 and less than or equal to tan 7pi/180, so I was okay there. Finally, after all that work, the slope of the track could only change by .05 per meter travelled horizontally, so the second derivative had to be greater than/equal to -.5 and less than/equal to .5. I guess when I did all that work I was just assuming my second derivative would turn out okay, but it turns out it goes from .-07 to .07. I felt like killing someone tonight. Preferably the stupid professor at Carroll that is subjecting us to this torture.

I'm so sick of school.