Please help ASAP!! What does the derivative term evaluate in a PID controller?

A) the sensitivity of a sensing device

B) the power supply of the controller

C) the rate of change of a system variable

D) the speed of motion of the actuators

E) the display of the controller

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86