Compute the Fourier transform of each of the following signals:. (a) x[n] = u[n - 2] - u[n - 6] (b) x[n] = (1/2)^-n u[-n - 1] (c) x[n] = (1/3)^|n| u[-n - 2] (d) x[n] = 2^n sin (pi/4 n) u[-n] (e) x[n] = (1/2)^|n| cos (pi/8(n - 1)) (f) x[n] = {n, -3 ≤ n ≤ 3 0, otherwise (g) x[n] = sin (pi/2 n) + cos (n) (h) x[n] = sin(5 pi/3 n) + cos (7 pi/3 n) (i) x[n] = x[n - 6], and x[n] = u [n] = u[n] - u[n]- - 5] for 0 ≤ n ≤ 5 (j) x[n] = (n - 1) (1/3)^|n| (k) x[n] = (sin (pi n/5)/pi n) cos (7 pi/2 n)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Which one from below is not one of the reasons of planning failures? (clo3) a)-planner is careless. b-planner spend less time in the field but more time on the desk c)-planner is not qualified d)-planner does not have sufficient time to properly plan

Inadequate stores control is not an obstacle to effective work order system. (clo4) a)-true b)-false