A Mach trimmer automatically compensates for Mach tuck above Mcrit.

A turbo charger is externally driven by exhaust back pressure turning a turbine which in turn drives a compressor in the induction manifold to increase the air pressure (constant volume, higher pressure) and is controlled by waste gate.

A supercharger is internally driven by the propellor shaft to compress mixture and is controlled by RPM.

Yes

Barber pole on the ASI, flying at a Mach number at altitude and audible warnings.

Angle of attack is the angle between the chord of the aerofoil and the relative airflow.

Angle of incidence is the angle between the chord and the aircrafts longitudinal datum.

Carb icing can occur in the engine induction system and in the carburettor of piston engines.

Regarding the second question, mention the conditions in which carb icing can occur and if it would be possible on that particular day.

Conditions for carb icing: when OAT is between -10 & +30, with high humidity (greater than 40%) and/or visible moisture.

The total pressure (static and dynamic pressure).

Mach tuck is a nose-down pitching moment experienced as an aircraft passes Mcrit.

Mach tuck is a form of longitudinal instability that is caused by the centre of pressures rearward movement (caused by the shock wave) behind the centre of gravity.

Reduced Vertical Separation Minima (RVSM) is the reduction, from 2,000 feet to 1,000 feet, of the standard vertical separation required between aircraft flying between flight level 290 (29,000 ft) and flight level 410 (41,000 ft).

TAS will increase.