solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.

6. [-/1 Points] DETAILS SCALCET9 14.7.040. Find the absolute maximum and minimum values of f on the set D. f(x, y) = x3 - 3x - y' + 12y + 6, D is quadrilateral whose vertices are (-2, 3), (2, 3), (2, 2), and (-2, -2) absolute maximum value absolute minimum value Need Help? Read It 7. [-/1 Points] DETAILS SCALCET9 14.7.043.MI. Find the shortest distance, d, from the point (1, 0, -4) to the plane x + y + z = 4. d= Need Help? Read It Watch It Master It8. [-/1 Points] DETAILS SCALCET9 14.7.044.EP. Let d be the distance from a point on the plane x - 2y + 3z = 9 to the point (0, 1, 2). For f(x, y) = d', find the following derivatives. fx (x, y ) = fu ( x, y ) = Find the critical point. ( x, y ) = Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 1, 2). ( x, y, z ) = Need Help? Read It 9. [-/1 Points] DETAILS SCALCET9 14.7.047.MI. Find three positive numbers whose sum is 110 and whose product is a maximum. (Enter your answers as a comma-separated list.) Need Help? Read It Watch It Master It10. [-11 Points] DETAILS SCALCET9 14.7.052. Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2. (Let x, y. and 2 be the dimensions of the rectangular box.) (WAS) Need Help