Necesito entregar estos ejercicios hoy y e visto mil videos no entiendo muy bien, puede ayudarme a resolverlos y recomendarme algún libro7 video? Encontrar el área por el método de sumas de Riemann y poner la gráfica.

a) f(x) = x² − 2x [1,2]
b) f(x) = 3x − x [1,4]
c) f(x) = x³ − 5/3 [0,5]

What difference(s) did you notice using a pneumatic circuit over hydraulic circuit.explain why the pneumatic piston stumbles when it hits an obstacle.

Refrigerant 134a enters an insulated compressor operating at steady state as saturated vapor at -26°c with a volumetric flow rate of 0.18 m3/s. refrigerant exits at 9 bar, 70°c. changes in kinetic and potential energy from inlet to exit can be ignored. determine the volumetric flow rate at the exit, in m3/s, and the compressor power, in kw.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.