Consider the function (31/2 if 0<t<2 1(t)= if 22 (a) Sketch fe(f), the even extension of f, for all real values of t. (b) Show that fe can be expressed as the Fourier cosine integral 3 [cos(2w) -12 sin(2w)] Se(t)= cos(2) 3 cos(wt)dw 37 (e) What value does the Fourier integral in part (b) converge to if t= What value does the Fourier integral in part (b) converge to if t=27