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At What Point on the Curve x=t3,y=9t,z=t4x = t ^ { 3 } , y = 9 t , z = t ^ { 4 }

Question 145

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At what point on the curve x=t3,y=9t,z=t4x = t ^ { 3 } , y = 9 t , z = t ^ { 4 } is the normal plane parallel to the plane 3x+9y4z=4?3 x + 9 y - 4 z = 4 ?

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