Solve the Problem $\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 9 \pi \mathrm { t } ^ { 2 }$

question 403

Multiple Choice

Solve the problem.
-An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is r(t) = 3t ft. Find
The area A of the oil slick as a function of time.

• A) \(\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 9 \pi \mathrm { t } ^ { 2 }\)
• B) \(\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 9 \mathrm { t } ^ { 2 }\)
• C) \(\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 9 \pi \mathrm { t }\)
• D) \(\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 3 \pi \mathrm { t } ^ { 2 }\)

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Definitions:

Gestalt Psychology

A psychological approach emphasizing the organization of perception and thinking in a "whole" rather than on the individual elements.

Continuous Flow

A process operation where inputs (materials, energy, or information) are constantly fed into the system, and products or services are produced without interruption.

Flow

A mental state of operation in which a person performing an activity is fully immersed in a feeling of energized focus, full involvement, and enjoyment in the process of the activity.

Shaping

Shaping is a method of positive reinforcement in behavioral training where successive approximations toward a desired behavior are rewarded to teach a new behavior.