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5. An open container in the form of a right circular cone is to have a fixed volume of 367rm3. Find the dimension of the cone that will minimize the amount of material needed to make that container. [8] (Note: Volume of cone V = mgh and curved surface area of cone A = 7rrx/ 7'2 + I12, Where 7\" is the radius of the cone and h is the height of the cone.) 6. The function f is defined on R by 2 8 + , m g 1 :1: 1%\"): 4+x2, 1<:c an is f differential at a:="1" justify your answer.>