In a steam engine the pressure and volume of steam satisfy the equation pv1.4 = k, where k is a constant. (this is true for adiabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) calculate the work done by the engine during a cycle when the steam starts at a pressure of 140 lb/in2 and a volume of 100 in3 and expands to a volume of 600 in3. (round your answer to two decimal places.)

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect