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Unformatted text preview: ( u, v ) = ( uv, u 2 + v 2 ) at ( a, b ) = (3 , 10). 2. Let R = [0 , 1] [0 , 1] R 2 . i) Suppose we have a nite subset of R : E 1 = { ( x k , y k ) : 0 x k , y k 1 , k = 1 , . . ., N } . Show that for any > 0 there exists a grid G 1 such that V ( E 1 ; G 1 ) < . ii) For E 2 = { ( x, y ) R : x = y } show that for any > 0 there exists a grid G 2 such that V ( E 2 ; G 2 ) < . iii) For E 3 = { ( x, y ) R : x 2 + y 2 = 1 } show that for any > 0 there exists a grid G 3 such that V ( E 3 ; G 3 ) < . Remark. I made a correction on 1c). 1...
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This homework help was uploaded on 04/08/2008 for the course MATH 125B taught by Professor Fukuda during the Winter '07 term at UC Davis.
 Winter '07
 Fukuda

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