UCI
MATH 2E -
Quiz 2
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Quiz 2 10 23 14 Math 2E Discussion Prof Laure Giovangigli Name Instructions Show all your work and simplify your answers completely No calculators notes books etc may be used during the quiz 1 x 2y 3x y Student ID Number cid 90 cid 90 dA R where R is the parallelogram enclosed by the lines x 2y 0 x 2y 4 3x y 1 and 3x y 8 Solution 1 Let u x 2y v 3x y Then x u 2v the Jacobian is given by 5 y 3u v 5 The determinant of So the integral becomes cid 18 1 5 2 5 cid 19 cid 90 8 3 5 1 5 dvdu u v det cid 90 4 1 5 0 1 1 5 8 ln 8 5
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