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The sphere r2 +y2 + 22 = 36 and the plane a + y + 2 = -10 intersect in an ellipse. Use Lagrange multipliers,

The sphere r2 +y2 + 22 = 36 and the plane a + y + 2 = -10 intersect in an ellipse. Use Lagrange multipliers, or any other method, to find the lowest point (= point with minimal z-value) on this ellipse

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