Answer Happy

Question 8: [55 marks] The periodic function f(t) is defined on its period -2 ≤t≤2 by the formula: f(t)= (t+1, when -2≤t≤0. -t+1, when 0≤t≤2. a) Plot the function f(t) on the interval -8 ≤t≤8. [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. [14 marks] f) Present the function by the Fourier series using the symbol Σ. [10 marks] g) Present first four terms of the Fourier series together with the mean value in the explicit form. [10 marks]