Suppose f(x)greater than0 for all x and integral from 0 to 36 f left parenthesis x right parenthesis dx equals 24. let r be the region in the first quadrant bounded by the coordinates axes, yequalsf(x squared), and xequals 6. find the volume of the solid generated by revolving r around the y-axis.

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)