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A balloon is released from the ground 8 meters from an observer. The balloon rises directly upward at the rate of 0.5 meters per second.

  1. A balloon is released from the ground 8 meters from an observer. The balloon rises directly upward at the rate of 0.5 meters per second. How fast is the balloon receding from the observer 12 seconds later?
  2. Air is being pumped into a spherical balloon so that its radius increases at rate 3 /. How fast is the volume of the balloon changing when the radius is 5cm?

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