For $f ( x , y )$ , Find All Values of X and Y Such That

question 25

Multiple Choice

For $f ( x , y )$ , find all values of x and y such that $f _ { x } ( x , y ) = 0$ and $f _ { y } ( x , y ) = 0$ simultaneously. $f ( x , y ) = 16 x ^ { 3 } - 4 x y + 16 y ^ { 3 }$

• A) \(\left( - \frac { 1 } { 12 } , - \frac { 1 } { 12 } \right)\)
• B) \(\left( \frac { 1 } { 12 } , \frac { 1 } { 12 } \right)\)
• C)(0,0)
• D)Both B and C
• E)Both A and B

---

Definitions:

Empowerment

A process through which individuals gain control, authority, and influence over their personal, workplace, or community situations.

Motivate

To provide with a reason or incentive to act or accomplish something.

Lab Technician

A professional skilled in performing various tests and experiments in a laboratory setting to support scientific research and diagnostic analysis.

Two-factor Theory

A psychological theory proposing that human emotions are influenced by two main factors: arousal and valence, affecting how positive or negative an emotion is experienced.