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Find the minimum and maximum values of the function f(x, y) = 361C2 + 64y2 : to the constraint xy = 9 (Use symbolic notation and fractions where needed. Enter NULL if there is no maximum or minimum.) Find the point on the ellipse x2 + 103:2 + 2xy = 6 with largest x-coordinate. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,').). (I, Y) = help (fractions) Find the point (x0, J'n) on the line 5x + 4}) = 4 that is closest to the origin. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (2')). (X0, yo) = help (fractions) (1 point] Find the volume of the largest rectangular box with edges parallel to the axes that can be inacribed in the ellipsoid Hint: By symmetry, you can restrict your attention to the first octant (where x,y, z 2 0), and assume your volume has the form V = Sxyz. Then arguing by symmetry, you need only look for points which achieve the maximum which lie in the rst octant. Maximum volume