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Find the Area of the Region Whose Image Under the Transformation

question 254

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Find the area of the region whose image under the transformation x = u + v, y = v - 2u is D={(x,y) 1x1,0y1x2}D = \left\{ ( x , y ) \mid - 1 \leq x \leq 1,0 \leq y \leq 1 - x ^ { 2 } \right\} .

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