Question

find the normal unit vector N(t) when the tangent unit vector is <1/(2t+1),(2t)/2t+1),(2t^(1/2))/(2t+1)>

Answer 1

the formula is pretty straightforward:
N(t)=T'(t)/|T'(t)|
is there some specific problem you are having with that?

Answer 2

getting this answer N(t)=<(-2t^(1/2))/(2t+1),(2t^(1/2))/(2t+1),(1-2t)/(1+2t)> this algebra is killing me

Answer 3

yeah it looks like it's gonna be ugly; I really don't have time to chug through it myself...

Answer 4

cool