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A mathematical species of slug has a semicircular cross section and is always 5 times as long as it is high (see figure below). When

A mathematical species of slug has a semicircular cross section and is always 5 times as long as it is high (see figure below). When the slug is 5 inches long, it is growing at 0.2 inches per week. (a) How fast is its volume increasing? (b) How fast is the area of its "foot" (the part of the slug in contact with the ground) increasing

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