Population size (2019/ 1989) as well as nominal GDP and growth rate in 2019 are listed for four countries as below. Country Pop.size(2019/1989) Pop growth GDP (IMF) GDP real growth (mil. persons) (% 2018-19) (tril. $ US.) (% per year) China 1,434/ 1110 0.43 14.22 6.3 India 1,366] 814 1.02 2.97 7.3 U.S.A 329/ 250 0.60 21.34 2.3 Japan 127/ 123 -0.27 5.18 1.0 Using continuous model to calculate follows. (1) How fast/ slow was the growth of the four populations in the last three decades (1989-2019)? How different is the GDP per capita among the four nations now? (2) Assume that all growth rates in the future remain the same as those of 2018-19. In which year will India overtake China as the most populous country and the largest economy (GDP), respectively? In which year will India overtake Japan as the third largest economy? In which year will Japan's population decline below 110 million? (3) In which year (20xx) will China overtake the U.S.A to become the largest economy? In that year (20xx) what will be the population size, GDP and GDP per capita of the four countries