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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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