MediumChange of variables

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #17 · Multivariable Calculus · Change of variables

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Draw the $x y$ region $R$ that corresponds to the $uv$ square $S$ with corners $(0, 0), (1, 0), (0, 1), (1, 1)$ . Locate the corners of $R$ and then its sides (like a jigsaw puzzle).

$x = 2 u + v$ , $y = u + 2 v$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #17

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