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MATHEMATICS - CASE STUDY

    Introduction



Rate of increased area
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As Tom plays football with a group of friends he happens to kick the ball into some water. A girl nearby finds that the ball creates circular ripple that travele outward. She wonders how fast the circle area of the circular circles increase in size.

What is known:

The circular ripple travels outward at 2 ft/sec.

   
  Questions

 

  How fast does the circle of area increase after 3 seconds?
     
    Approach

 

The rate of circular circles area change is the derivative of the area function.