A contagious and fatal virus has tragically struck the city of Plaguesville, which has been quarantined until the virus has run its course. The function P(t) = 2.48t - 0.062t* gives the number of people who are newly infected t days after the outbreak began. (a) Find first and second derivatives P'(t) and P"(t). (b) Solve P(t) = 0, P'(t) = 0 and P"(t) = 0. Then complete the table. (c) Use the table to describe the details of the Plaguesville tragedy. (a) Find first and second derivatives P'(t) and P"(t). P'(t) = 7.4412- 0.248+3 P"(t) = 14.88t-0.74412 (b) Solve P(t), P'(t), and P"(t) for 0 in order to complete the table. Days P(t) P'(t) P''(t) 0 0 0 0