Thermodynamics texts use the relationship (dy/dx)(dz/dy)(dx/dz) = -1

Question

Explain the meaning of this equation and prove that it is true (Hint: Start with a relationship F(x,y,z) = 0 that defines x = f(y,z), y = g(x,z), and z = h(x,y) and differentiate implicitly)

Answer 1

This topic is discussed here:

http://books.google.com/books?id=6I7e_RQ5zD0C&pg=SA4-PA30&lpg=SA4-PA30&dq=thermodynamics+dz/dx+dx/dy&source=bl&ots=6MEOyqi1LQ&sig=-54pfdB1Beh-0A8_oxHCSP2anCk&hl=en&sa=X&ei=XolOUurLHIya8wTusIHYDQ&ved=0CDIQ6AEwAQ#v=onepage&q=thermodynamics%20dz%2Fdx%20dx%2Fdy&f=false

Answer 2

The roads of New Orleans remained flooded due to the hurricane.

Which type of relationship is used in the sentence?

(1 point)

cause/effect relationship
cause/effect relationship

part/whole relationship
part/whole relationship

similarities/differences relationship
similarities/differences relationship

item/category relationship