Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t+6)= f(t) is given by FS(t) In this particular case the Fourier series coeffcients are given by ao = 1.25 an = do nat +Σa, cos (17) + b, sin (17). an b₁ = 3(-1)" пл 4(1-2(-1)") 1²7² n= Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(0) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter correct to 4 decimal places: 00000

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A: FSt=a02+∑n=1∞ancosnπt4+bnsinnπt4a0=1.5an=4-1nnπbn=51-2-1nn2π2

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