Please help me to answer it step by step and write it down on paper.

Problem 'I: The squirrel population in a small selfcontained forest was studied by a biologist. The biologist found that the squirrel population. P. measured in hundreds, is a function of time. t. where t is measured in weeks. The function Pit) = 20/ [ l +3603?\" . The biologists study the squirrel population for 52 weeks. a) Determine the maximum population of squirrels over the rst 52 weeks. ( Remember to check the endpoints and the critical point} b) As time goes to innity what will the limit of Pit) be? (You should be able to do this WITHOUT a calculator). c) How does what you discovered in b) confirm what you learned in a? e) Determine the point of inflection. 1'} Explain the meaning of the point of inflect in terms of the squirrel population growth. Problem 2: A mathematical consultant determines that the proportion of people who will have responded to the advertisement of a new product after it has been marketed for t days is given by t] = 0.9(1 em). a) It the add in on the air for 60 days. when will the maximum proportion of people have responded? [m endpoints and critical points) b) How can you determine the answer without doing any calculations simply by looking at the eguation