26. Let U = {arithmetic, algebra, calculus, geometry, trig- onometry, analysis, topology, statistics), B = {analysis, topology, calculus), C = {algebra, calculus, trigonom- etry, analysis}, D = {arithmetic, algebra, calculus, topology, statistics), E = {algebra, calculus, geometry, trigonometry, analysis). In each of the following, repre- sent the given set by an array of zeros and ones. (a) BUC (b) CnD (c) BO(DOE) (d) BUE (e) Cn(BUE)Statistical Mechanics: The Heat Capacity of a Solid (a) The Debye temperature #D can be determined from measurements of the speed of sound in the solid. Use Equation (16.10) to show that he 3N 1/3 0D = where 091 # + (b) Show that 1/3 Op(K) = 2.51 X 10 2 P C, where is the density in kg/m^3, M is the molecular weight, and c is the sound speed in m/s. For copper, P = 8.95 x 10*3 kg/m^3, M = 63.6, and c = 2.24 X 10 3 m/s. Calculate the Debye temperature D