At What Point on the Curve $x = t ^ { 3 } , y = 9 t , z = t ^ { 4 }$

question 28

Multiple Choice

At what point on the curve $x = t ^ { 3 } , y = 9 t , z = t ^ { 4 }$ is the normal plane parallel to the plane $3 x + 9 y - 4 z = 4 ?$

• A) \(( - 1 , - 3,9 )\)
• B) \(( 9,18 , - 2 )\)
• C) \(( - 1 , - 9,1 )\)
• D) \(( - 18,9,1 )\)
• E) \(( - 9,1,1 )\)

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