1. Consider the function f(x) = e defined on the interval 0 x 1. i. Use an even periodic extension of this function onto the interval -1 < x < 1 to complete the Fourier cosine representation : B 1+n n=1 f(x) ~ A+ where: A=... B = ..., C = ... Sketch by hand, the even periodic extension over three periods. Marks: Sketch by hand: [2 marks] + One integration by parts, fully solved by hand:[3 marks]+ Steps for even expansion: [3 marks]+ Correct identification of A,B,C [3 marks] = 11 marks. *C ii. Use an odd period extension of this function onto the interval -1