Find Parametric Equations for the Tangent Line to the Curve $x = t ^ { 11 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 4,4,4 )$

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. $x = t ^ { 11 } , y = t ^ { 3 } , z = t ^ { 6 } ; ( 4,4,4 )$

A) $x = 4 - 11 t , y = 4 + 3 t , z = 4 + 6 t$
B) $x = 4 + 11 t , y = 4 + 3 t , z = 4 + 6 t$
C) $x = 4 + 11 t , y = 4 + 3 t , z = 4 - 6 t$
D) $x = 11 t , y = 4 + 3 t , z = 4 + 6 t$
E) $x = 4 + 11 t , y = 4 - 3 t , z = 4 + 6 t$