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Unformatted text preview: F . At what points a does the mapping F have an inverse mapping in some neighbourhood of a ? b) Consider the region in the rst quadrant bounded by the lines xy = 0 , xy = 2 and the curves xy = 1 , xy = 4. Give a clearly labelled sketch of D xy in the xy plane and of its image in the uv plane. 5. a) Consider the transformation u = xy, v = 1 x + y . How is the area of a small bounded region in the xy plane, A xy , containing the point (0 , 1) related to the area of its image in the uv plane, A uv ? b) Dene D xy = { ( x, y ) R 2 : 1 x + y 2 , y , x y } . Sketch D xy and its image under the transformation in (a). In both sketches provide the equations for the boundaries....
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This note was uploaded on 05/19/2011 for the course MATH 237 taught by Professor Wolczuk during the Spring '08 term at Waterloo.
 Spring '08
 WOLCZUK
 Math, Calculus

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