In Calm Waters, the Oil Spilling from the Ruptured Hull $\frac{1}{6}$

question 124

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 ft and is increasing at the rate of $\frac{1}{6}$ ft/sec. Round to the nearest tenth if necessary.

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Definitions:

Marginal Cost

The additional cost incurred by producing one more unit of a product or service, crucial for economic decision-making and pricing strategies.

Diminishing Marginal Product

The principle that as more of a variable input is added to a fixed input, the additional output gained from each new unit of input will eventually decrease.

Marginal Costs

The extra expense associated with manufacturing an additional unit of a product or service.

Marginal Returns

Marginal Returns refer to the additional output or benefit received from increasing one unit of a particular input while keeping other inputs constant.