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27. Let R be a parallelogram bounded by the lines y = -3x, y = x + 2, y = -3x + 2 and y

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27. Let R be a parallelogram bounded by the lines y = -3x, y = x + 2, y = -3x + 2 and y = x - 2. (i) A transformation T is defined by the equations x = - (utv), y = 7 (v - 3u). Find the image of the region R under the transformation T. Sketch the image in the uv-plane. (ii) Using the transformation T in part (i) or otherwise, evaluate (2x + 6y) d.A. JR

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