1. In 2020 there was a world pandemic. The World Health Organization advised countries to follow social distancing. Public health records indicate that t weeks after the outbreak of COVID-19, approximately Q(t) = 20 1+19e-1.2t thousand people had caught the disease. a) How many people had the disease when it broke out? How many had it two weeks later? b) What is the rate of change of the number of people infected two weeks later? Three weeks later? Interpret the results. c) If the trend continues, approximately how many people will eventually contract the disease? d) Does this function have an optimal value? Explain why or why not (using mathematical reasoning). What are the implications of this in the real-world context