Problem 6 and 8

6.4 EXERCISES In Problems 1-4, determine (a) the T-periodic extension 7. f(x) = 1, 0

6.4 EXERCISES In Problems 14, determine (a) the T-periodic extension f, (b) the odd 27-periodic extension fo, and (c) the even 27-periodic extension fe for the given function f and sketch their graphs. 1. f(x) =x2, 2. f(x) = sin2x, 3. f(x) - 4. f(x) In Problems 510, compute the Fourier sine series for the given function. 5. f(x) 6. f(x) = cosx, 8. 10. f(x) = f(x) f(x) = In Problems 1116, compute the Fourier cosine seri given function. 11. f(x) = 7 x, 0 < x 13. f(x) = 15. f(x) = sinx, f(x)