tut3 - x | 1 / 2 | y | p where p is a positive constant....

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Math 237 Tutorial 3 Problems 1: Find the linear approximation L a ( x ) of f ( x,y,z ) = ln( x 2 - yz ) at a = (2 , 1 , 3). 2: Let f ( x,y ) = x 3 - xy 2 | x | + | y | + 1 , if ( x,y ) 6 = (0 , 0) 1 if ( x,y ) = (0 , 0) . Determine if f is differentiable at (0 , 0). 3: Consider the function f ( x,y ) = |
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Unformatted text preview: x | 1 / 2 | y | p where p is a positive constant. Determine for what values of p is f ( x,y ) dierentiable at (0 , 0). 4: What is the precise denition of f xy ( a,b )?...
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This note was uploaded on 01/27/2011 for the course MATH 237 taught by Professor Wolczuk during the Fall '08 term at Waterloo.

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