Find the area of the half ellipse x² y² E = {(x, y) | + · ≤ 1, y ≥ 0} 81 and the y-coordinate of its center y 1 ASSE if ydA. Use x = 2r cos 0, y = 9r sin for the new variables and provide the corresponding Jacobian determinant. det (3) =[ Next, calculate the area of the half ellipse and the y-coordinate of its center. A = y =

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A: