Question 8: (55 marks] The periodic function f(t) is defined on its period -25152 by the formula: f(0) = Jt+1, when -231

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Question 8 55 Marks The Periodic Function F T Is Defined On Its Period 25152 By The Formula F 0 Jt 1 When 231 1 (36.28 KiB) Viewed 33 times

Question 8: (55 marks] The periodic function f(t) is defined on its period -25152 by the formula: f(0) = Jt+1, when -23150. 1-1+1 when 05132 a) Plot the function ſt) on the interval -8 <158. [15 marks b) Determine the period of the function. [2 mark) c) Determine whether the function is odd or even? [2 mark] d) Find the mean value of the function on its period. [2 mark] e) Find the Fourier coefficients of the given function. J14 marks) f) Present the function by the Fourier series using the symbol 2. [10 marks g) Present first four terms of the Fourier series together with the mean value in the explicit form. [10 marks)