Answer Happy

[5 Points] Assume that Fourier series representation of x (t) is given as 3 x(t) = i Σ k=-3 - What is the Fourier series coefficient b3 for third harmonic component of y(t) = x(t — 4) ? a. b3 (j8n) (2 + j4π) O b. b3 (8π) (2 + j6π) O c. b3 = ej24π (2 + j6π) O d. b3 = e j16π (2 + j4π) (2 + jk2n)ejk2nt = =
[5 Points] Assume that ä(t) and y(t) are both periodic signals with a period of T, and Fourier series coefficients for r(t) is aµ. What is the Fourier series coefficients b for y(t) = 4x(2t) — d²x(t)/dt²? O a. bk (1 + j2kwo)ak O b. bk = a_k + 2ak O c. bk (2 + jkwo)ak ○ d. b₁ = (4 + k² w² ) ak = =