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Kevin, Kim, and Lyu are walking on a 2D surface embedded in a flat three-dimensional Euclidean space as x = r coso, y =

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Kevin, Kim, and Lyu are walking on a 2D surface embedded in a flat three-dimensional Euclidean space as x = r coso, y = r sin o, == i) Show that the induced metric on the two-dimensional surface is (13pts) 2,3/2 3 9 = = ( grr gro gor 944 2) = (1 + 2).

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