TOBB EKONOMİ VE TEKNOLOJİ ÜNİVERSİTESİ MAK 501 ENGINEERING MATHEMATICS FALL 2014 Due Date: 26.09.2014- Friday* HOMEWORK 3 x2 1. If f ( x) x e x 0 , what are the even and odd parts of f ( x) ? x0 2. For the following function, sketch the Fourier sine series of f ( x) . Also, roughly sketch the sum of a finite number of nonzero terms (at least the first two) of the Fourier sine series: f ( x) cos x / L 3. For the given function, prepare labeled sketches of the HRC,HRS,QRC,QRS extensions, and derive he corresponding expansions, a) f ( x) 5x on 0<x<4 b) f ( x) sin x on 0<x < c) f ( x) sin x on 0<x< / 2 0 x 1 0 4. Compute the cosine series expansion for f ( x) . x 1 1 x 2 Due date is Friday 26th of September. For each day delay 15 points will be reduced. Technology Center, Z06(Heat Transfer Lab.) : Ali Farnoud, TOBB ETU Hidro,ZA-06: Ece Aylı.