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Unformatted text preview: f x (125 , 64) = 160. The marginal productivity of capital is given by f y (125 , 64) = 156 . 25. b) f (125 , 66) ≈ f (125 , 64) + 2 · f y (125 , 64) = 30 , 312 . 5. c) f (124 , 64) ≈ f (125 , 64)1 · f y (125 , 64) = 29 , 840. 7 . 2 . 31 ∂V ∂P =. 08 T P 2 which tell us ∂V ∂P (20 , 300) =. 06. This means that if pressure is changed from 20 by h units and temperature remains ﬁxed at 300 units then the volume decreases by approximately . 06 h units. ∂V ∂T = . 08 P which tell us ∂V ∂T (20 , 300) = . 004. This means that if temperature is changed from 300 by k units and pressure remains ﬁxed at 20 units then the volume increases by approximately . 004 k units. 2...
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 Spring '06
 Sarason
 Thermodynamics, Division, Multiplication, Derivative, marginal productivity, ﬁrst order partials

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