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Consider the function f(x) = 4/x. Suppose we want to find the length of the curve...

Consider the function f(x) = 4/x. Suppose we want to find the length of the curve of the graph from the point (1,4) to the point (4,1).  

  1. First, approximate the length of the curve by finding the length of the straight line from (1,4) to (4,1).
  2. Explain how to get better approximations for the length of the curve?
  3. Is the process you described in (2) a calculus idea? Why or why not?
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