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Use the following to answer questions :
Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters.
-Find the area of the circular burn after 50 minutes.


Definitions:

Noncooperative Behavior

Actions by firms that ignore the effects of those actions on the profits of other firms.

Marginal Costs

The cost incurred by producing one additional unit of a product.

Industry Output

The total product or service produced by companies within a specific sector or industry.

Noncooperative Behavior

Actions in a competitive environment where entities act independently without collaboration, potentially leading to less optimal outcomes.

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