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6. Consider the region R bounded by a2 + 4y? = 1. Define u = x + 2y and v = x - 2y. Write

6. Consider the region R bounded by a2 + 4y? = 1. Define u = x + 2y and v = x - 2y. Write a and y in terms of u, v. Find the image of R in the uv-plane under this transformation

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