3. Consider an elastic string that is originally Im long. a. Stretch it by 1cm, then by 10cm and finally by 40cm from its original length. For each stage calculate the engineering and true strains. 1 cm: 10 cm: 40 cm: b. If we denote the original length of the string by Lo and the deformation dl so that the total length of the string is L(dl)=Lo+dl: give expressions for the engineering and true strains (Eeng and Etrue respectively) of the string as a function of dl. c. Plot, in the same graph, &eng and Etrue as a function dl in the interval: 0 dl 0.4m. Which of the two definitions of strain gives large values? Why? Hint: you can use excel or Jupyter to solve this problem. Include your plot at the end of your PDF solution.