Find Parametric Equations for the Tangent Line to the Curve $x = 2 t$

question 39

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations $x = 2 t$ $y = 7 t ^ { 2 }$ $z = 4 t ^ { 3 }$ at the point with $t = 1$

• A) \(x = 2 + 2 t\) \(y = 7 + 14 t\) \(z = 4 + 12 t\)
• B) \(x = 2 + 2 t\) \(y = 7 + 7 t\) \(z = 4 + 4 t\)
• C) \(x = 1 + 2 t\) \(y = 1 + 7 t\) \(z = 1 + 4 t\)
• D) \(x = 1 + 2 t\) \(y = 1 + 14 t\) \(z = 1 + 12 t\)

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