1. Evaluate at the point where and .
2. Velocity = .
To find the unit tangent vector, divide by its length.
Acceleration = .
. . . .
for the velocity, since x=ln(t) and y= sqrt.(t^2+1), we could write r(t) as (ln(t)+3t)i + (sqrt.(t^2+1))j right?
And v(t) would be r prime t = (1/t + 3)i + t/(sqrt.(t^2+1)) right?