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

---

Definitions:

Leadership Style

Describes a leader's method of providing direction, implementing plans, and motivating people.

Main Factors

Key components or influences that significantly affect outcomes within a process or system.

Global Leaders

Individuals who have the ability to influence and manage people and resources across geographies and cultures, often responsible for guiding multinational organizations.

Key Characteristics

Fundamental or essential attributes that define or distinguish something.