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7. (i) Find [[ 2xy dA where R is the triangle in the xy plane with vertices (0,0), (1, 1), (0, 2). (ii) Water

7. (i) Find [[ 2xy dA where R is the triangle in the xy plane with vertices (0,0), (1, 1), (0, 2). (ii) Water is poured into a vase to the brim. The base of the vase lies on the plane 20, the top on the plane z = 1, and the sides lie on the surface 24 = x + y where 1 unit= 10cm. (a) How much water was poured in? (b) Where is the centre of mass of the water?

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