From thermodynamics in Materials Science 3. Problem 2.5 Write the total differential of the function (5 points) z = 12 u3vcos(x) a. Identify the coefficients of the three differentials in this expression as appropriate partial derivatives. b. Show that three Maxwell relations hold among these coefficients. 4. Problem 2.6 Describe the notion of equilibrium means to you. List as many attributes as you can think of that would be exhibited by a system that has come to equilibrium. Why do you think these characteristics of a system in equilbrium are important in thermodynamics? (4 points)