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

question 226

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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Definitions:

Inspect-It-In Approach

A traditional quality control approach where products are inspected after completion to ensure they meet the required standards, often considered less effective than preventive measures.

TQM

Total Quality Management, a comprehensive approach focused on continuous improvement in all aspects of an organization to enhance quality and performance.

Fix-It Approach

A reactive strategy aiming to address and solve problems or issues as they arise, rather than preventing them proactively.

Managerial Functions

The primary tasks and responsibilities, including planning, organizing, leading, and controlling, that are performed by managers to achieve organizational goals.