1. In a protected wildlife reserve, the population of a rare species of birds is currently 1,000 individuals. Due to successful conservation efforts, the population experiences exponential growth with a growth rate of 12% per year. However, poaching and habitat destruction continue to pose threats. Calculate the expected population size after 20 years, assuming the growth rate remains constant. 2. The population of a certain insect species in a controlled laboratory environment follows exponential growth. It is observed that the population triples every 2 days. If the initial population is 100 insects, determine the population size after 10 days.