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

question 84

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) \(( - 9,1,1 )\)

---

Definitions:

Self-administration

The act of a person administering a medication or treatment to themselves, without the direct assistance of healthcare professionals.

Permanent Colostomy

A surgical procedure that creates an opening (stoma) in the abdominal wall for waste to leave the body, intended as a lifelong alteration.

Teaching/Learning Experience

The interactive process between teacher and learner that facilitates the acquisition of knowledge, skills, and attitudes.

Affective Domain

Feelings, emotions, interests, attitudes, and appreciations, and five major learning categories.