Find the absolute maximum and minimum values of fan the set D. x, 1/) = x3 3x y3 + 12y + 8, D is quadrilateral whose vertices are (2, 3), {2, 3), (2, 2), and (2, 2) absolute maximum value :] absolute minimum value I] Find the points on the cone z2 = x2 + y that are closest to the point (6, 2, 0) smaller z-value ( x , y, Z ) = larger z-value ( x, y , Z ) =Find three positive numbers whose sum is 150 and whose product is a maximum. (Enter your answers as a comma-separated list.) S Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm. (Let x, y, and z be the dimensions of the rectangular box.) ( x, y, Z ) =The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs seven times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and 2 be the dimensions of the aquarium. Enter your answers in terms of V.) W<:>