JUST $"$C$"$ PLEASE!

For the curves given below, please compute:

i The unit tangent vector.

ii The unit normal vector.

iii The binormal vector.

iv The curvature.

v The tangential acceleration.

vi The normal acceleration.

You should use the "cheat sheet" and unless you want extra work, you should avoid $"$ s $"$ like the plague.

$($a$)$ vec$(r)(t)$:$=($:$cost,sint,7$:$).$

$($b$)$ vec$(r)(t)$:$=($:$cost,sint,2t$:$).$

$($c$)$ vec$(r)(t)$:$=($:$1,t,t^2$:$).$