Solve the following maxima-minima problems using algebraic function. 5. Find the coordinates ofthe point or points on the curve x2 y2 = 16 which are nearest to the point(0, 6). Answer: (5, 3), ( 5, 3) Solve the following optimization problems. 5. Four feet of wire is to be used to form a square and a circle. How much of the wire should be bent into a square and how much bent for the circle to enclose the maximum total area? 6. A tank with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 meters and its volume 36 cubic meters. If building the tank costs SlU/sq. m. for the base and SS/sq. m. for the sides, what is the cost of the least expensive tank and what are its dimensions