Answer with solution

ASSESSMENT 5.5: APPLICATIONS OF MAXIMA AND MINIMA Specific Directions: In each of the following, solve the problems accordingly. 1. A cylindrical boiler is to have a volume of 1340 cu. ft. The cost of the metal sheets to make the boiler should be minimum. What should be its base diameter in feet? 2. What number exceeds its square by the maximum amount? 3. A page of print is to contain 24 cm of printed area, a margin of 1.5 cm. at the top and bottom, a margin of 1 cm. at the sides. What are the dimensions of the smallest pagethat would fill these requirements? Provide an illustration. 4. A closed cylindrical container has a capacity of 128m cu. m. Determine the minimum surface area. 5. If the hypotenuse of a right triangle is known, what is the ratio of the base and the altitude of the right triangle when its area is maximum