Consider a lti system with inputx(t) and outputy(t) described byy(t) =1a(x(t)−x(t−)(a) find the impulse response, h(t), of this system.(b) express the output of this system, y(t), in terms of the inputx(t) asa→0+.(c) find the frequency transfer function, h(jω), of this system. findh(jω)) in the limit asa→0+.note: ez=∑[infinity]n=0znn! and thus lim|z|→0ez= 1 +z.

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

On a average work day more than work place firs are reorted

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.