Let' S denote the following surface: S = {(x, y, z) € R³ | z = 2x+y, 0 < z <1,0 < x < 1}. Compute the surface integral over S of the function G: R³ →R, G(x, y, z)= x² + y² +2². Let us also assign to S the orientation in direction of increasing z-value. Then, compute the surface integral over S of the vector field Hon R³ given by

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