Find Parametric Equations for the Tangent Line to the Curve $x = t ^ { 11 } , y = t ^ { 5 } , z = t ^ { 6 } ; ( 1,1,1 )$

question 129

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.
$x = t ^ { 11 } , y = t ^ { 5 } , z = t ^ { 6 } ; ( 1,1,1 )$

• A) \(x = 11 t , y = 1 + 5 t , z = 1 + 6 t\)
• B) \(x = 1 + 11 t , y = 1 + 5 t , z = 1 - 6 t\)
• C) \(x = 1 + 11 t , y = 1 + 5 t , z = 1 + 6 t\)
• D) \(x = 1 + 11 t , y = 1 - 5 t , z = 1 + 6 t\)
• E) \(x = 1 - 11 t , y = 1 + 5 t , z = 1 + 6 t\)

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