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A periodic function is defined over 0 <1 < 2 by f(t) = 2t. a) Enter the value of the Fourier Coefficient ao to 1 decimal place. (3 marks) ao = b) Find the Fourier Coefficients a1, a2, az to 1 decimal place. (6 marks) a = a2 = a3 = c) Find the Fourier Coefficients b1,b2, bz to 1 decimal place. (6 marks) b = b2 = b3 = d) Hence calculate the value of the Fourier series at t = 5 seconds with 3 terms giving your answer to 1 decimal place. (10 marks) fi=

For this question you should enter your answers into the spaces provided. Full marks will not be achieved unless you upload your working at the end of the examination. This question is worth 25 marks. A periodic function is defined over 0 <t <2 by f(t) = 2t. a) Enter the value of the Fourier Coefficient ao to 1 decimal place. (3 marks) ao = b) Find the Fourier Coefficients a1, 22, az to 1 decimal place. (6 marks) a1 = 42 = a3 = c) Find the Fourier Coefficients b,b2, b3 to 1 decimal place. (6 marks) bi = b2 = bz = d) Hence calculate the value of the Fourier series at t = 5 seconds with 3 terms giving your answer to 1 decimal place. (10 marks)