Find Parametric Equations for the Tangent Line to the Curve $$x = \cos t , y = 2 e ^ { 6 t } , z = 2 e ^ { - 6 t } ; ( 1,2,2 )$$

question 133

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Select the correct answer.
$$x = \cos t , y = 2 e ^ { 6 t } , z = 2 e ^ { - 6 t } ; ( 1,2,2 )$$

• A) \(x = t , y = 2 - 24 t , z = 2 + 24 t\)
• B) \(x = 1 , y = 2 - 24 t , z = 4 - 24 t\)
• C) \(x = 1 , y = 2 + 12 t , z = 2 - 12 t\)
• D) \(x = 0 , y = 2 - 24 t , z = 2 + 24 t\)
• E) \(x = t , y = 2 + 12 t , z = 2 - 12 t\)

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