Find a minimum two-level, multiple-output AND-ORgate circuit to realize thesefunctions (eight gates minimum).f1(a, b, c, d) = Σm(10, 11, 12, 15) + Σd(4, 8, 14)f2(a, b, c, d) = Σm(0, 4, 8, 9) + Σd(1, 10, 12)f3(a, b, c, d) = Σm(4, 11, 13, 14, 15) + Σd(5, 9, 12)

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.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

Slip occurs via two partial dislocations because of (a) the shorter path of the partial dislocation lines; (b) the lower energy state through partial dislocations; (c) the charge balance.