Tokyo stocks opened higher Tuesday, bouncing back from sharp falls a day earlier, as buying was sparked across broad sectors by the Dow Jones index’s fifth consecutive day of gains overnight. In the first 15 minutes of trading, the 225-issue Nikkei Stock Average rose 424.88 points, or 1.14 percent, from Monday to 37,813.50. The broader Topix index was up 22.05 points, or 0.83 percent, at 2,663.19. On the top-tier Prime Market, gainers were led by electric power and gas, nonferrous metal and rubber product issues. At 9 a.m., the U.S. dollar fetched 146.72-73 yen compared with 146.55-65 yen in N…