Let x(n) = {2,4,-3,x(0)=1,-5,4,7}. Generate and plot the samples (use the stem function) of the following sequences. 1. x1(n) = 2x(n − 3) + 3x(n + 4) − x(n)
2. x2(n) = 4x(4 + n) + 5x(n + 5) + 2x(n)
3. x4(n) = 2e0.5nx(n) + cos (0.1π n) x (n + 2) , −10 ≤ n ≤ 10

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.

Which of the following refers to refers to how well the control system responds to sudden changes in the system. a)-transient regulation b)- distributed regulation c)-constant regulation d)-steady-state regulation

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i.d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.