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The sphere :52 + 'y2 + z2 = 36 and the plane a: + y + z = 10 intersect in an ellipse. Use Lagrange

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The sphere :52 + 'y2 + z2 = 36 and the plane a: + y + z = 10 intersect in an ellipse. Use Lagrange multipliers, or any other method, to nd the lowest point (2 point with minimal zvalue) on this ellipse

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