Solve the Problem $$f ( x ) = x ^ { 3 }$$

question 132

Multiple Choice

Solve the problem.
-The function f $$f ( x ) = x ^ { 3 }$$ describes the volume of a cube, f(x) , in cubic inches, whose length, width, and height each measure x inches. Find the instantaneous rate of change of the volume with respect to x when x = 4 inches.

• A) 12 cubic inches per inch
• B) 49.21 cubic inches per inch
• C) 48 cubic inches per inch
• D) 192 cubic inches per inch

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Definitions:

Big Five

A model describing human personality through five broad dimensions: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Personality

The combination of emotional, attitudinal, and behavioral response patterns of an individual that are relatively stable over time.

Big Five

A model postulating five core dimensions of personality traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Personality Factors

Distinct dimensions of personality that are used to describe and understand individual differences.