The Spread of a Contaminant Is Increasing in a Circular $r ( t ) = 2.25 \sqrt { t }$

question 3

Multiple Choice

The spread of a contaminant is increasing in a circular pattern on the surface of a lake.The radius of the contaminant can be modeled by $r ( t ) = 2.25 \sqrt { t }$ ,where r is the radius in meters and t is the time in hours since contamination. ​
Find a function that gives the area A of the circular lake in terms of the time since the spread began.
​

• A) \(A \circ r ( t ) = 5.0625 \pi \sqrt { t }\)
• B) \(A \circ r ( t ) = 2.25 \pi t\)
• C) \(A \circ r ( t ) = 5.0625 t\)
• D) \(A \circ r ( t ) = 5.0625 \sqrt { t }\)
• E) \(A \circ r ( t ) = 5.0625 \pi t\)

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The methods and equipment used in the production of pizzas, often incorporating advancements for efficiency and quality.

Marginal Product

The additional output that is generated by employing one more unit of input, such as labor or capital, in the production process.

Optimal Labor Employment

The level at which the addition of one more employee maximizes the organization's net productivity and profit.

Marginal Expenditure

The incremental cost associated with the purchase of an additional unit of a good or service.