Question

HELP, THIS STUFF IS SERIOUSLY HAAARD!
Consider the hyperbola y^2 - x^2 = 1 y>0
(a) Find a parameterization for the curve and write it in vector form: r(t)
(b) Calculate the unit tangent vector as a function of the parameter.
(c) Calculate the unit normal vector and the curvature vector as a function of the parameter.

Answer 1

i USed the parameter x=t
and
\[y= \sqrt{1+t ^{2}}\]

Answer 2

and i think i got my unit tangent vector..but after that............................i am lost!