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10 Aug 2022
Let D be the region D = {(x, y) middot x + 2y lessthanorequalto 1, x Greaterthanorequalto 0, y Greaterthanorequalto 0} and let I = integral integral D e^-(x + 2y)^2 dA. A) Find the region R in the uv-plane to which D is transformed by the mapping u = x, v = x + 2y. B) Compute the integral using the variables u = x, v = x + 2y (use the convenient order of integration).
Let D be the region D = {(x, y) middot x + 2y lessthanorequalto 1, x Greaterthanorequalto 0, y Greaterthanorequalto 0} and let I = integral integral D e^-(x + 2y)^2 dA. A) Find the region R in the uv-plane to which D is transformed by the mapping u = x, v = x + 2y. B) Compute the integral using the variables u = x, v = x + 2y (use the convenient order of integration).
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