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Practice Problems for 3/18

  1. A certain type of slug has a semicircle cross section, where the rounded part of the semicircle is its back. The slug is always 5 times as long as it is high. When the slug is 10 inches long, it grows at a rate of .2 inches per week.
    1. At what rate is the slugs volume increasing when it is 10 inches long?
    2. How fast is the area of the slug's belly (the part of the slug that touches the ground) growing when it is 10 inches long?