The population of healthy adults in an isolated community near the city of Yellowknife (62.1640 N, -114.633. W) can be modelled by the differential equation dH dt = 2t In t where f > 0 is measured in years since January 1st, 2000 and a is measured in thousands of healthy adults per year. (a) What can we say about the population of healthy adults between February 1st and March 1st, 2001? Select one choice below and justify your selection with a full sentence on Crowdmark. (A) The population was increasing throughout this month. (B) The population was decreasing throughout this month (C) The population had at least one turning point during this month. (b) Suppose that on January 1st, 2001, there were 4 thousand healthy adults in the community. Write an equation for the population of healthy adults (in thousands) at time t. Your final equation should not include any integrals. Show all of your work on Crowdmark, including your final answer. (c) According to this model, how many thousands of healthy adults were in the community on January Ist, 2002? Show all of your work on Crowdmark, and copy your final numerical answer in the box below, rounded to 3 decimal places if rounding is required