One of the things that controls population growth is the availability of food, the birth rate and death rate, the maximum carrying capacity of an area, and disease.
Based on the information provided within the question it can be said that the two answers that are modern examples of Biotechnology are Bioremediation and Recombinant DNA technology. This is because Biotechnology refers to using living organisms or their products in order to solve a problem for human benefit. Which both of these manage to do just that.