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

question 145

Short Answer

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

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Definitions:

Cerebellum

A part of the brain that regulates motor movements, coordination, balance, and posture.

Sleep-Wake Cycle

The circadian rhythm that regulates periods of sleepiness and wakefulness over a 24-hour period.

Coordination

The ability to use different parts of the body smoothly and efficiently together or to organize activities harmoniously.

Learning

The process of acquiring new understanding, knowledge, behaviors, skills, values, or preferences.