In Calm Waters, the Oil Spilling from the Ruptured Hull $20 \mathrm { ft }$

question 73

Short Answer

In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the polluted area is circular, determine how fast the area is increasing when the radius of the circle is $20 \mathrm { ft }$ and is increasing at the rate of $\frac { 1 } { 6 } \mathrm { ft } / \mathrm { sec }$ . Round to the nearest tenth if necessary.

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Definitions:

Positive Reinforcement

The process of encouraging or increasing a behavior by following it with a positive stimulus.

Regressive Coping

A defense mechanism where an individual responds to stress by reverting to behaviors typical of an earlier stage of development.

Punishment

A consequence given in response to an unwanted behavior, intended to decrease the likelihood of that behavior occurring again.

Contingency

A future event or circumstance that is possible but cannot be predicted with certainty, often requiring planning for various outcomes.