So I was TAing today… And then there was this damn problem from Stewart’s calculus book (6th edition); it was from Section 14.3, which is Arc Length and Curvature. The problem 46 states:
Find the equations of the normal plane and osculating plane of the curve at the given point.
x = t, y = t^2, z = t^3; (1, 1, 1)
I mean, you have to understand that the last time I’ve seen this shit is when I was in ninth grade… which was eight years ago. So I was standing there, blubbering like an idiot, and eventually, I wrote some long, disgusting shit, which I thought was right, but looked so ugly that even Duchamp would have been appalled by this. Anyways, turns out I did get it right at the end, but there was this lingering feeling. I think it’s called guilt or something? So I posted the solution (it’s much more legible than what I originally wrote:
I should’ve TAed calculus for retards or something.
Oh, and my 6 is awesome. And no, it’s not a 0. It’s a 6. So shut up.