Question

If T(t)=(2ti+2j)/(2sqrt(t^2+1)) what is N(t)?

Answer 1

what do u mean by N

Answer 2

principle unit normal vector

Answer 3

I got you. Let me type it :P

Answer 4

K

Answer 5

\[N(t)=\frac{T'(t)}{\left|| T'(t) \right||}\].

Answer 6

As long as you can differentiate it :P

Answer 7

I can work it all the way out if you need help with that.

Answer 8

\[(i / (\sqrt{t ^{2}+1})^{3} -jt/(\sqrt{t ^{2}+1})^{3} )/\sqrt{(1)/(t ^{2}+1)^{2}}\]) i think

Answer 9

I got
\[N(t)=\frac{1}{t}i-j\].

Answer 10

For my derivative:

Answer 11

lololol im wrong

Answer 12

\[T'(t)=\frac{(2)(2\sqrt{t^2+1})-(2t)(2t)(t^2+1)^{-\frac{1}{2}}}{4(t^2+1)}i+(-1/2)(2t)(t^2+1)^{-3/2}j\].

Answer 13

What I wrote above is what I got after dividing by the magnitude and everything^^ (The N(t) one)

Answer 14

wow i just got schooled

Answer 15

You want a walk through of my differentiation?

Answer 16

me? it's not my question lol. I probably just made a stupid mistake somewhere

Answer 17

Its a large quotient rule then a chain rule (you can rewrite it as (t^2+1)^(-1/2)

Answer 18

Haha, its okay :P All about bookkeeping and not losing negatives and what not.

Answer 19

yeah, plus it's super annoying to type out the answer