- #1
the7joker7
- 113
- 0
Homework Statement
Let bar r(t) = < -1t^(2)+2, -3e^(5t), -5sin(-4t) >
Find the unit tangent vector `bar T(t)` at the point `t=0`
The Attempt at a Solution
Attempt:
r(t) = -1t^2 + 2, -3e^5t, -5sin(-4t)
v(t) = -2t, -3e^5t, -5cos(-4t)*-4
T(t) = (-2t - 3e^(5t) - 5cos(-4t)*-4)/sqrt(-2t^2 - (3e(5t))^2 - (5cos(-4t)*-4)^2)
=
(0 - 4 + 20)/sqrt(0 - 9 - 400)
T(0) = <0, -4/3, 20/20.2237>
Actual Solution:
`bar T(t) = < 0,-0.6,0.8 >`
Sorry about all these questions but these unit tangent vectors have got me stumped...