A contagious and fatal virus has tragically struck the city of Plaguesviile, which has been quarantined until the virus has run its course. The function P(t) = 1613 - 0.5t4 gives the number of people who are newly infected t days after the outbreak began. (a) Find rst and second derivatives P'(t) and P\"(t). (b) Solve P(t) = O, P'(t) = 0 and P\"(t) = 0. Then complete the table. (c) Use the table to describe the details of the Plaguesville tragedy. W (3) Find rst and second derivatives P'(t) and P\"(t)