Use Lagrange multiplier techniques to find the local extreme values of the given function subject to the stated constraint. If appropriate, determine if the extrema are global. (If a local or global extreme value does not exist enter DNE.) f(x, y)

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

Give heat transfer applications for the following, (i) gas turbines (propulsion) ) gas turbines (power generation). (iii) steam turbines. (iv) combined heat and power (chp). (v) automotive engines

An ammonia compressor has a 5% clearance volume and displacement rate of 80 l/s and pumps against a condensing temperature of 40°c. for two different temperatures of -10°c and 10°c, compute the mass flow rate of refrigerant assuming the clearance volumetric efficiency applies. discharge specific volume corresponding to-10°c and 10°c are 112.5 l/kg and 95 l/kg, respectively.