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Consider the ellipse formed by the intersection of the plane x + y + 2z =0 and the hyperboloid of one sheet x2 + y2 - 22 = 9. Determine all points on this ellipse that are nearest to and furthest from the point P(1, 1, 2). Conclude all your results in a table of the form below. (r. y. *) x / Distance Max or Min? XXXX XXXX Use the method of Lagrange Multipliers. Any method not using Lagrange Multipliers will result in a grade of zero. When solving for all point (x, y, z) also solve for all Lagrange Multipliers. Organize your work as in lecture. Numbering your equations and forming headlines of when you are observing certain cases. A reminder that disorganized work that is difficult to follow may receive minimal credit, even if it is correct