Using the given functions Z=Z(X,Y) and X=X(Y,Z), verify (a) The cyclic relation (b) The reciprocity relation at constant P

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Q: Find du= du CT,V) in terms of dU ( measurable properties CP-V-T) Show the mathematical derivation.

A: For detailed solution, please see the attached files.

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Q: Find the Laplace transform of f(t) = t cosh(3t) s2-9 A F(8) (8²+9) s² –9 (s2–9) 2 B F(s) S+9 © F(s)…

A: Let Laplace L [ f(t) ]  =  f(s)    and L [ t f(t) ] = -dds f(s)  we know that,  L [ coshat] = ss2 -…