Thread: Math Quiz 5
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Unread 29-10-2014, 00:17
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Re: Math Quiz 5

Spoiler for arc length:
Well (I think) I've got (2 sqrt(4(ab)^2 + ab) + arcsinh(2 sqrt(ab))) / (2a) = 10 from the arc length restriction, but I have no idea how to get that in terms of either a or b. I'm pretty tired, so I'll take another look tomorrow sometime not after midnight. Once you have a nice relationship with a as a function of b or vice versa it should be easy to optimize. Maybe a nice function doesn't exist though, not sure.

Also, it's pretty easy to get a as a function of ab, I'll have to think about if that's actually helpful though. Might be able to get the inverse of it.

Last edited by Bryce Paputa : 29-10-2014 at 00:25.
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