Bad Wigins wrote:
Is my solution to the infamous crocodile question even quantifiable on that scale?
NON-CALCULUS SOLUTION BY DIRTY TRICK (SUBSTITUTION)
let u = x/6
now let u = sinhv, then sqrt(1+u^2) = coshv (DIRTY TRICK)
Now my solution is 100% calculus-free.
True, and it's kinda cool, but a double substitution using through hyperbolic trig functions doesn't seem any easier than just doing the calculus, and the conjecture required to solve your solution is immediately available using calculus by finding where T'(v) = 0. (And you said maximum - don't you mean minimum?)
But calculus is pretty much just algebra, dividing changes in y by changes in x.
I'm still waiting for "mcguirkthejerk"'s answer to the ping pong ball question: