As President Trump presses states to reopen their economies, his administration is privately projecting a steady rise in coronavirus infections and deaths over the next several weeks, reaching about 3,000 daily deaths on June 1 — nearly double the current level. The projections, based on data collected by various agencies, including the Centers for Disease Control and Prevention, and laid out in an internal document obtained Monday by The New York Times, forecast about 200,000 new cases each day by the end of May, up from about 30,000 cases now. There are currently about 1,750 deaths per day, the data shows.