$$\begin{gathered} \mathrm{The}\mathrm{pressure}P\mathrm{of}\mathrm{an}\mathrm{ideal}\mathrm{gas}\mathrm{is}\mathrm{given}\mathrm{by}P(n,T,V)=\frac{nRT}{V},\mathrm{where}n\mathrm{is}\mathrm{the} \\ \mathrm{amount}\mathrm{of}\mathrm{the}\mathrm{gas},R\mathrm{is}\mathrm{a}\mathrm{constant},T\mathrm{is}\mathrm{the}\mathrm{temperature}\mathrm{of}\mathrm{the}\mathrm{gas}\mathrm{in}\mathrm{degrees} \\ \mathrm{Kelvin},\mathrm{and}V\mathrm{is}\mathrm{the}\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{gas}.\mathrm{Find}\frac{\partial \mathrm{P}}{\partial \mathrm{n}},\frac{\partial P}{\partial V},\mathrm{and}\frac{\partial P}{\partial T}.\mathrm{What}\mathrm{are}\mathrm{the} \\ \mathrm{physical}\mathrm{interpretations}\mathrm{of}\mathrm{these}\mathrm{partial}\mathrm{derivatives}? \end{gathered}$$

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