ok.

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- February 13th 2011, 06:03 PMTaurus3line
ok.

- February 13th 2011, 06:43 PMProve It
1. Evaluate at the point where and .

2. Velocity = .

To find the unit tangent vector, divide by its length.

Acceleration = . - February 13th 2011, 07:03 PMSoroban
Hello, Taurus3!

Quote:

. . . .

- February 13th 2011, 09:54 PMTaurus3
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? - February 13th 2011, 10:12 PMProve It
Yes.