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The edge of a lake can be modelled by the function f(x) = x2 A fountain is to be placed in the lake at the point where the normals at x = 2 and x = -2 meet

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The edge of a lake can be modelled by the function f(x) = x2 A fountain is to be placed in the lake at the point where the normals at x = 2 and x = -2 meet. Find the equations of these two normals and the coordinates of the point where the fountain will be placed.