find the tangent vector,$()$r$($e$)$ to the space curve described by the given vector function.

$()=($ln$)+2$r$($t$)=$ti$$sin$($lnt$)$j$+2$tk$$

Select one:

a$.$

$()=2++2$r$($e$)=$e$2$ei$+$ej$+2$k$$

b$.$

$()=12+2$r$($e$)=12$ei$+2$k$$

c$.$

$()=+2$r$($e$)=$ei$+2$ek$$

d$.$

$()=0$r$($e$)=0$

e$.$

None of the above