5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ² + 4y2 = 1; that is find the (x, y) coordinates of the top corner in the first quadrant of the rectangle below that has the largest possible area: 1 y=√1-x² (x, y) -1 1

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A: Let (x, y) be any point on the parabola. So, the distance between (x, y) and the focus will be :