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MATHEMATICS - CASE STUDY

    Introduction



Piecewise f(x) function diagram
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In a series of Aluminum cutting experiments, Jimmy summarizes the relationship between the force and the heat conducted to the cutter. He finds that the heat is a piecewise function of the force. In order to amylases the property of the cutter, he wants to analysis the heat released to the cutter at jump points. The unit for the force is kN, and the unit for the heat is J.

What is known:

  • The function is:

          

    Questions

 

 

    Analysis the heat conducted to the cutter when force is 1 and 2 kN.

     
    Approach


 
  • f(x) is a piecewise continuous function, the quantity of f(x) when x = 1- and x = 1+ are different, same thing for x = 2- and x= 2+.