For a 3 particle system where each particle can be in a zero-energy state or an excited state wit han energy of 1 unit: 3)write an expression for the average energy of this system as a function of teh temperature using U=(1/Q)(dQ/dbeta). THe relationship 1 + 3e^(x) + 3e^(2x) + e^(3x)=(1+e^-x)(e^x+2e^2x+e^3x) might be useful for simplifying 4)Write an expression for the heat capacity as a funciton of temperature using Cv= (dU/dT) and beeta = 1/KbT