Determine the dimensions of the coefficients A and Bin the dimensionally homogeneous equation: d^2x/dt^2 + A dx/dt + Bx = 0 where x is length and t is time. If F is a force and x is a length, what are the dimensions of (i) dF/dx, (ii) d^3F/dx^3, and (iii) integral Fdx in FLT system.

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2