Find Parametric Equations for the Tangent Line to the Curve $x = \cos t , y = 4 e ^ { 6 t } , z = 4 e ^ { - 6 t } ; ( 1,5,5 )$

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. $x = \cos t , y = 4 e ^ { 6 t } , z = 4 e ^ { - 6 t } ; ( 1,5,5 )$

A) $x = 0 , y = 5 - 24 t , z = 5 + 24 t$
B) $x = 1 , y = 5 + 24 t , z = 4 - 24 t$
C) $x = t , y = 5 + 24 t , z = 5 - 24 t$
D) $x = t , y = 5 - 24 t , z = 5 + 24 t$
E) $x = 1 , y = 5 + 24 t , z = 5 - 24 t$