(4) When variables x, y, z are related by F(x, y, z) = 0, show the following relations, by referencing any calculus book. For example, the variables x, y, z are p, V, T in thermodynamics: (a) (), = ¹/), y y ay (b) ()₂ + ₂)₂ (3) = 0 az x y Z © ))), = -1 (Chain relation)
(4) When variables x, y, z are related by F(x, y, z) = 0, show the following relations, by referencing any calculus book. For example, the variables x, y, z are p, V, T in thermodynamics: (a) (), = ¹/), y y ay (b) ()₂ + ₂)₂ (3) = 0 az x y Z © ))), = -1 (Chain relation)
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Transcribed Image Text:(4) When variables x, y, z are related by F(x, y, z) = 0, show the following relations, by
referencing any calculus book. For example, the variables x, y, z are p, V, T in thermodynamics:
(a)
(b)
( )
(с)
:17(2),
дz
y
(x), + ( x), (x)
y
x
() () (), = -1 (Chain relation)
Z
x
y
дх
=
= 0
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