The periodic function T(x) obeys T(x + 2) = T(x) and |x| < π/2 T(x) = 1 -1 π/2 ≤ x < π Its Fourier transform is given by ao = 0, a2k+1 = (-1)k. 4 л(2k+1) ' , a2k = 0 and bk = 0 for k integer. Fill in the Fourier coefficients for periodic (Q(x) = Q(x + 2)) function Q(x) = -{{ 0 < x < T π < x < 2π ao = , a3 = ,b₁ = ,b3 = Which of the below are valid properties of the Kronecker delta 8mn for m, n integer? [Tick all that apply - points will be deducted for wrong answers] 1 O 8mn = 1 Omn= cos(mx) cos(nx)dx for all m,n 08mn = e(n-m)x dx 1 2n I ○ 8mn = sin(mx) sin(nx)dx for m > 0,n > 0 O 8mn = cos(mx) sin(nx)dx