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The curves shown are all examples of graphs of continuous functionsf that have the following properties: f(0)=0andf(1)=0. f(x)?0for0?x?1. The area under the graph of f

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The curves shown are all examples of graphs of continuous functionsf that have the following properties:

  1. f(0)=0andf(1)=0.
  2. f(x)?0for0?x?1.
  3. The area under the graph of f for 0?x?1 is equal to 1.

Try to discover formulas for two functions that satisfy the given conditions 1, 2, and 3. please show the The smallest arc length Your graphs might be similar to the ones shown here, with the number displayed at the top being (approximately) the corresponding arclength:

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