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Unformatted text preview: xy = 0, except (0 , 0). B5. b) One example f ( x,y ) = xy x 2 + y 2 B7. i) a) dierentiable, b) continuous, c) no info ii) a) not dierentiable, b) no info, c) at least one partial not continuous iii) a) dierentiable, b) continous, c) no info. iv) a) not dierentiable, b) no info, c) at least one partial not continuous B8. i) does not exist ii) does not exist iii) does not exist iv) exists and equals 0 B9. a) One example f ( x,y ) = p | ( x-1)( y-2) | b) One example f ( x,y ) = p | 1-x 2-y 2 | B10. f ( x,y ) = | x | . B11. b) The limit exists and equals 0. 1...
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This note was uploaded on 04/18/2010 for the course MATH 237 taught by Professor Wolczuk during the Spring '08 term at Waterloo.
- Spring '08