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Suppose That There Exists a Linear Function L(x,y)L ( x , y )

question 79

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Suppose that there exists a linear function L(x,y)L ( x , y ) near the point (0,0)such that the difference between f(x,y)f ( x , y ) and L(x,y)L ( x , y ) approaches 0 as (x,y)( x , y ) approaches (0,0).Then f is differentiable at (0,0)with L(x,y)L ( x , y ) as its local linearization.

Identify and name carboxylic acids and their derivatives from their structural formulas.
Draw the structure of specified carboxylic acids and their derivatives.
Understand the physical properties of carboxylic acids and their relationship to molecular structure.
Name compounds based on IUPAC nomenclature for carboxylic acids and their derivatives.

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