Given that q f(p), maximize profits by (a) finding the inverse function p = f(q), (b) using cramer's rule for the first-order condition, and (c) using the hessian for the second order condition. the demand functions and total cost functions are tc qi2q1q2+q q1 100 3p1 +2p2 92 75+0.5p - p2 where q1 and q2 equation are substitute goods, as indicated by the opposite sign for pi and p2 in each

The percent efficiency of a machine can never be 100% (or greater), because in the real world some energy is always converted into a. heat b. work c. input force d. output force

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

Ms.hidalgo opens the door to her classroom. her classroom is 60 degrees and the air outside is 80. predict what will happen using your knowledge of how heat flows.