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HW8.1a:

Enter the Taylor series to order x^3: 

HW8.1b:

Enter 0 if you did not do the problem, 1 if the problem is partially correct, and 2 if each step is correct: 

HW8.2a:

Enter the percentage error for N = 50: 

HW8.2b:

Enter the percentage error for N = 100: 

HW8.3:

Enter the low energy limit for the multiplicity of an Einstein Solid: 

HW8.4a:

Enter an expression for the multiplicity of this macrostate: 

HW8.4b:

Enter the percentage of states that would be explored in 10 billion years: 

HW8.5a:

Enter the value of x that maximizes x^n*exp(-x): 

HW8.5b:

Enter the Taylor approximation of n*ln(x) - x to order y^2. -- Do not include a term of the form O(y^3): 

HW8.5c:

Enter the expression resulting from evaluating this integral: