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

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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 ?


Definitions:

Apprenticeship Programs

Structured training programs that combine on-the-job training with classroom instruction for learning a trade or profession.

In-House Programs

Customized training or development courses offered by an organization internally for its employees.

Mentoring Programs

Structured relationships or partnerships where experienced individuals (mentors) guide and support the development of less experienced individuals (mentees).

Apprenticeship Programs

Structured training programs that combine on-the-job learning with classroom instruction, aimed at preparing individuals for a specific trade or profession.

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