We say that a real numberx∈[0,1) iscomputableif there exists an algorithm which, given〈n〉as input for an arbitrary natural numbern, computes (in a finite number of steps) the n-th (binary) digit ofxafter the decimal point. this means that a computable number canbe approximated to any desired degree of precision. prove that there exist uncountably many uncomputable numbers

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

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

Derive the correction factor formula for conical nozzle i=-(1+ cosa) and calculate the nozzle angle correction factor for a nozzle whose divergence hal-fangle is 13 (hint: assume that all the mass flow originates at the apex of the cone.