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

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Definitions:

Autobiographical Memory

The aspect of memory that pertains to recollections of personal experiences and events from one's own life.

Automatic Process

Cognitive operations that are fast, require little to no conscious effort, and often occur without our awareness, such as reading familiar words.

Automatization

The process through which tasks become automatic with practice, requiring less cognitive effort to perform over time.

Information Processing

The methods by which individuals perceive, analyze, manipulate, store, and remember information.