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Balloon Blowing




              water drop blue
Related Rates of Change
Gas is being pumped into a spherical balloon at a rate of 5 cubic feet
per minute. Find the rate at which the radius is changing when the
diameter is 18 inches.
A stone is dropped into a lake, causing circular waves whose radii
increase at a constant rate of 0.5 m/sec. At what rate is the
circumference of a wave changing when its radius is 4 meters?
from the pole at a rate of 4 ft/sec. At what rate is the tip of her shadow
moving when she is 18 feet from the pole? At what rate is the length of
the shadow increasing?
Assignment: p.235-237 #1, 4, 6, 7, 9, 10, 13, 15, 16, 20, 21

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  • 1. How are these photos "related"? Balloon Blowing water drop blue
  • 2. Related Rates of Change Gas is being pumped into a spherical balloon at a rate of 5 cubic feet per minute. Find the rate at which the radius is changing when the diameter is 18 inches.
  • 3. A stone is dropped into a lake, causing circular waves whose radii increase at a constant rate of 0.5 m/sec. At what rate is the circumference of a wave changing when its radius is 4 meters?
  • 4. from the pole at a rate of 4 ft/sec. At what rate is the tip of her shadow moving when she is 18 feet from the pole? At what rate is the length of the shadow increasing?
  • 5. Assignment: p.235-237 #1, 4, 6, 7, 9, 10, 13, 15, 16, 20, 21