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A Disk of Radius 2 Meters Is Covered with Mites

Question 65

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A disk of radius 2 meters is covered with mites. At the edge of the disk their density is 10,000 mites per square meter and at the center the density is 20,000 mites per square meter. If the mite density varies linearly with the distance from the center, how many mites are in the disk?

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