Let $\Gamma ( u , v , w )$ Be a Function of Three Variables With

question 37

Multiple Choice

Let $\Gamma ( u , v , w )$ be a function of three variables with $F _ { u } + F _ { w } = - 1$ .Suppose that $G ( x , y ) = F ( x , x - y , x )$ .Simplify $G _ { x } + G _ { y }$ .

• A) \(G _ { x } + G _ { y } = 0\) .
• B) \(G _ { x } + G _ { y } = - 1\) .
• C) \(G _ { x } + G _ { y } = 1\) .
• D) \(G _ { x } + G _ { y } = - 2\) .

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Definitions:

Dehydration

A chemical reaction in which water is removed from a molecule, often leading to the formation of a double bond or a new compound.

Alcohols

Organic compounds containing one or more hydroxyl (-OH) groups attached to a carbon atom.

(R)-2-methyl-3-pentanol

A chiral organic compound specified by its configuration around the stereocenter as R (Rectus), indicating the spatial arrangement of its atoms.

Degrees of Freedom

The number of independent values or quantities which can vary in the analysis without violating any constraints.