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A Frugal Young Man Has Decided to Extract One of His

Question 273

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A frugal young man has decided to extract one of his teeth by tying a stout rubber band from his tooth to the chain on a garage door opener which runs on a horizontal track 3 feet above his mouth. If the garage door opener moves the chain at 14ft/s\frac { 1 } { 4 } \mathrm { ft } / \mathrm { s } , how fast is the rubber band expanding when it is stretched to a length of 5 feet?

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