POLLUTION The spread of a contaminant is increasing in a circular pattern on the surface

Chapter 2, Problem 72

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POLLUTION 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 where is the radius in meters and is the time in hours since contamination. (a) Find a function that gives the area of the circular leak in terms of the time since the spread began. (b) Find the size of the contaminated area after 36 hours. (c) Find when the size of the contaminated area is 6250 square meters.

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