3. (40 points) as we discussed in class, stable sorting algorithms maintain the relative order of records with equal values. that is, a sorting algorithm is stable if whenever there are two records r and s with the same key and with r appearing before s in the original list, r will appear before s in the sorted list as well. give a simple scheme to make any comparison-based sorting algorithm stable. how much extra memory will your scheme need?

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.