Solve the Problem $V ( x ) = 5 x ^ { 2 }$

question 36

Multiple Choice

Solve the problem.
-The volume of a rectangular box with square base and a height of 5 feet is $V ( x ) = 5 x ^ { 2 }$ , where $x$ is the length of a side of the base. Find the instantaneous rate of change of volume with respect to $x$ when $x = 3$ feet.

• A) \(45 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• B) \(30 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• C) \(6 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• D) \(15 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)

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Definitions:

Stimulus Drive

A concept in psychology that discusses how external stimuli can motivate behavior by activating drives or needs.

Stimulus Motive

A drive that is based on needs for exploration, manipulation, curiosity, and stimulation of the senses.

Primary Drive

Fundamental biological needs or urges, such as hunger, thirst, and sex, that motivate behavior.

Unlearned

Refers to behaviors or responses that are natural or inherent, not acquired or taught.