Choose the One Alternative That Best Completes the Statement or Answers

question 68

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The function $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 3 }$ describes the volume of a cube, $\mathrm { f } ( \mathrm { x } )$ , 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:

Southern Farmers

Generally refers to agricultural workers and landowners in the Southern United States, historically dependent on crops like cotton and tobacco, and deeply affected by the Civil War and subsequent economic changes.

Hatch Act

A U.S. federal law enacted in 1939 that restricts the political activities of government employees in order to ensure the neutrality of the public service.

Agricultural Science

The study of the sciences related to the production of crops and livestock, and management of soil and water resources.

Agricultural Colleges

Institutions focused on teaching agricultural sciences, techniques, and management, often established under the Morrill Act of 1862.