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:

Nominal

Pertaining to data that consists of names, labels, or categories without any inherent order or ranking.

Dependent Variable

The outcome factor whose variation is being studied in relation to changes in independent variables within experimental or observational research.

Level of Promiscuity

A measure or assessment of an individual's or population's engagement in varying degrees of casual sexual activity.

Ordinal

Pertaining to data types or variables that represent categories with a meaningful order but no consistent difference between adjacent categories.