Find Parametric Equations for the Tangent Line to the Curve $x = 3 t$

Find parametric equations for the tangent line to the curve with parametric equations $x = 3 t$ , $y = 5 t ^ { 2 } , z = 4 t ^ { 3 }$ at the point with $t = 1$ .

A) $x = 1 + 3 t , y = 1 + 10 t , z = 1 + 12 t$
B) $x = 3 + 3 t , y = 5 + 10 t , z = 4 + 12 t$
C) $x = 1 + 3 t , y = 1 + 5 t , z = 1 + 4 t$
D) $x = 3 + 3 t , y = 5 + 5 t , z = 4 + 4 t$

Correct Answer:

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