The measure of effectiveness of a sleep deprived student studying for a test on a scale of 0 to 1 is given by the formula M(t) = ln(t^2) / 3t, where 't' is the time in hours that a student spends studying, 0 < t ≤ 4.
Determine the maximum measure of effectiveness of studying and the time at which it is reached.
The Attempt at a Solution
In all honest I've got no idea what going on here, this was just an easter-egg question our teacher handed out at the end of class for a few extra marks. We haven't covered this in class yet, and I'm trying to absorb as much information as possible from my utterly useless textbook, but it's not going very well. It's all just a jumble of balderdash to me at the moment! lol!
If anyone could help me figure this out I'd really appreciate it! I gotta keep my average at 91% of else my university acceptance gets withdrawn! every mark helps!
Thanks again everyone!